Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 8890.205012281007, 'bad_primes': [2, 3, 5, 19], 'central_character': '1.1', 'conductor': 34296447249000000, 'conductor_radical': 570, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -3, 1, 0, 0, -3, 0, -3, 0, 0, 0, -3, 0, 9, 0, 0, 0, -3, 0, 0, 0, -1, 0, 15, 0, 12, 0, 0, 0, 0, 0, -18, 0, 0, 0, 18, 0, 21, 0, 0, 0, 24, 0, 21, 0, 0, 0, 12, 0, 0, -3, 0, 0, 27, 0, -45, 0, 0, 0, 0, 0, -12, 0, 0, 0, 18, 0, 15, 0, 0, 0, 9, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, -3, -9, 0, 9, 0, 0, 0, 0, 0, -24, 0, 0, 0], 'euler11': [1, 3, -24, -31, 531, 330, -6181, 3630, 64251, -41261, -351384, 483153, 1771561], 'euler13': [1, 3, 18, 102, 477, 1533, 6821, 19929, 80613, 224094, 514098, 1113879, 4826809], 'euler17': [1, 3, 54, 126, 1665, 3009, 32581, 51153, 481185, 619038, 4510134, 4259571, 24137569], 'euler19': [1, -9, 0, 179, 0, -3249, 6859, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 3, 39, 97, 1434, 4122, 35249, 94806, 758586, 1180199, 10913799, 19309029, 148035889], 'euler29': [1, -15, 99, -387, -162, 17112, -132695, 496248, -136242, -9438543, 70020819, -307667235, 594823321], 'euler3': [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'euler31': [1, -12, 24, -26, 2196, -7092, -25353, -219852, 2110356, -774566, 22164504, -343549812, 887503681], 'euler37': [1, 18, 279, 2756, 25893, 187002, 1285527, 6919074, 35447517, 139599668, 522890919, 1248191226, 2565726409], 'euler41': [1, -18, 90, 517, -6795, 4023, 189053, 164943, -11422395, 35632157, 254318490, -2085411618, 4750104241], 'euler43': [1, -21, 132, 226, -4536, -26217, 468693, -1127331, -8387064, 17968582, 451281732, -3087177303, 6321363049], 'euler47': [1, -24, 270, -2061, 14139, -95271, 641665, -4477737, 31233051, -213979203, 1317513870, -5504280168, 10779215329], 'euler5': [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'euler53': [1, -12, 93, -79, 1605, -47529, 579146, -2519037, 4508445, -11761283, 733814733, -5018345916, 22164361129], 'euler59': [1, -27, 324, -1930, -2160, 183357, -2019907, 10818063, -7518960, -396381470, 3926024964, -19302956073, 42180533641], 'euler61': [1, 45, 882, 9142, 38421, -237357, -4086267, -14478777, 142964541, 2075060302, 12212031762, 38006833545, 51520374361], 'euler67': [1, 12, 54, 705, -81, -30885, 74537, -2069295, -363609, 212037915, 1088160534, 16201501284, 90458382169], 'euler7': [1, 3, -12, -19, 171, 126, -1161, 882, 8379, -6517, -28812, 50421, 117649], 'euler71': [1, -18, 180, -1039, 765, 95067, -1171171, 6749757, 3856365, -371869529, 4574102580, -32476128318, 128100283921], 'euler73': [1, -15, 120, -680, -3645, 99495, -953967, 7263135, -19424205, -264531560, 3407788920, -31096073895, 151334226289], 'euler79': [1, 3, -3, 647, -828, -32526, -79587, -2569554, -5167548, 318996233, -116850243, 9231169197, 243087455521], 'euler83': [1, 3, -222, -189, 32865, 7500, -3152909, 622500, 226406985, -108067743, -10535747262, 11817121929, 326940373369], 'euler89': [1, 9, 252, 1620, 37710, 196695, 3742363, 17505855, 298700910, 1142049780, 15811044732, 50256535041, 496981290961], 'euler97': [1, 24, 336, 3038, 33912, 449928, 5494947, 43643016, 319078008, 2772700574, 29745838416, 206096166168, 832972004929], 'euler_factors': [[1, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 3, -12, -19, 171, 126, -1161, 882, 8379, -6517, -28812, 50421, 117649], [1, 3, -24, -31, 531, 330, -6181, 3630, 64251, -41261, -351384, 483153, 1771561], [1, 3, 18, 102, 477, 1533, 6821, 19929, 80613, 224094, 514098, 1113879, 4826809], [1, 3, 54, 126, 1665, 3009, 32581, 51153, 481185, 619038, 4510134, 4259571, 24137569], [1, -9, 0, 179, 0, -3249, 6859, 0, 0, 0, 0, 0, 0], [1, 3, 39, 97, 1434, 4122, 35249, 94806, 758586, 1180199, 10913799, 19309029, 148035889], [1, -15, 99, -387, -162, 17112, -132695, 496248, -136242, -9438543, 70020819, -307667235, 594823321], [1, -12, 24, -26, 2196, -7092, -25353, -219852, 2110356, -774566, 22164504, -343549812, 887503681], [1, 18, 279, 2756, 25893, 187002, 1285527, 6919074, 35447517, 139599668, 522890919, 1248191226, 2565726409], [1, -18, 90, 517, -6795, 4023, 189053, 164943, -11422395, 35632157, 254318490, -2085411618, 4750104241], [1, -21, 132, 226, -4536, -26217, 468693, -1127331, -8387064, 17968582, 451281732, -3087177303, 6321363049], [1, -24, 270, -2061, 14139, -95271, 641665, -4477737, 31233051, -213979203, 1317513870, -5504280168, 10779215329], [1, -12, 93, -79, 1605, -47529, 579146, -2519037, 4508445, -11761283, 733814733, -5018345916, 22164361129], [1, -27, 324, -1930, -2160, 183357, -2019907, 10818063, -7518960, -396381470, 3926024964, -19302956073, 42180533641], [1, 45, 882, 9142, 38421, -237357, -4086267, -14478777, 142964541, 2075060302, 12212031762, 38006833545, 51520374361], [1, 12, 54, 705, -81, -30885, 74537, -2069295, -363609, 212037915, 1088160534, 16201501284, 90458382169], [1, -18, 180, -1039, 765, 95067, -1171171, 6749757, 3856365, -371869529, 4574102580, -32476128318, 128100283921], [1, -15, 120, -680, -3645, 99495, -953967, 7263135, -19424205, -264531560, 3407788920, -31096073895, 151334226289], [1, 3, -3, 647, -828, -32526, -79587, -2569554, -5167548, 318996233, -116850243, 9231169197, 243087455521], [1, 3, -222, -189, 32865, 7500, -3152909, 622500, 226406985, -108067743, -10535747262, 11817121929, 326940373369], [1, 9, 252, 1620, 37710, 196695, 3742363, 17505855, 298700910, 1142049780, 15811044732, 50256535041, 496981290961], [1, 24, 336, 3038, 33912, 449928, 5494947, 43643016, 319078008, 2772700574, 29745838416, 206096166168, 832972004929]], 'id': 11396431, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/570/2/u/c'], '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': '12-570e6-1.1-c1e6-0-6', '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}, {'__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, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '12-570e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.1334181294844625, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 390939050967318252, 'z1': {'__RealLiteral__': 0, 'data': '0.49505754036901851570277907216', 'prec': 103}}