Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 756.1595493200377, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 2917096519063104, 'conductor_radical': 42, 'degree': 12, 'dirichlet_coefficients': [1, 3, 0, 3, -10, 0, -2, -2, 0, -30, -2, 0, -2, -6, 0, -9, 4, 0, -3, -30, 0, -6, -14, 0, 37, -6, 0, -6, 5, 0, -14, -9, 0, 12, 20, 0, -9, -9, 0, 20, 12, 0, 18, -6, 0, -42, -3, 0, 2, 111, 0, -6, -9, 0, 20, 4, 0, 15, -4, 0, 4, -42, 0, 3, 20, 0, 5, 12, 0, 60, -14, 0, -25, -27, 0, -9, 4, 0, 7, 90, 0, 36, -8, 0, -40, 54, 0, 4, 9, 0, 4, -42, 0, -9, 30, 0, -28, 6, 0, 111], 'euler11': [1, 2, 15, 124, 313, 1166, 7007, 12826, 37873, 165044, 219615, 322102, 1771561], 'euler13': [1, 2, -32, -26, 730, 230, -10729, 2990, 123370, -57122, -913952, 742586, 4826809], 'euler17': [1, -4, 9, -92, 58, 20, 5393, 340, 16762, -451996, 751689, -5679428, 24137569], 'euler19': [1, 3, -42, -61, 1311, 726, -27501, 13794, 473271, -418399, -5473482, 7428297, 47045881], 'euler2': [1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 14, 195, 1660, 13153, 77486, 423071, 1782178, 6957937, 20197220, 54568995, 90108802, 148035889], 'euler29': [1, -5, -30, 371, -185, -6020, 44357, -174580, -155585, 9048319, -21218430, -102555745, 594823321], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 14, 58, 250, 2992, 9728, -11857, 301568, 2875312, 7447750, 53564218, 400808114, 887503681], 'euler37': [1, 9, -21, -268, 1293, 4875, -42882, 180375, 1770117, -13575004, -39357381, 624095613, 2565726409], 'euler41': [1, -12, -18, 78, 7470, -24546, -158105, -1006386, 12557070, 5375838, -50863698, -1390274412, 4750104241], 'euler43': [1, -18, 114, -682, 7188, -33492, 63039, -1440156, 13290612, -54223774, 389743314, -2646151974, 6321363049], 'euler47': [1, 3, -108, -267, 7263, 9786, -360137, 459942, 16043967, -27720741, -527005548, 688035021, 10779215329], 'euler5': [1, 10, 63, 284, 1021, 2986, 7319, 14930, 25525, 35500, 39375, 31250, 15625], 'euler53': [1, 9, -36, -873, -1179, 26334, 272077, 1395702, -3311811, -129969621, -284057316, 3763759437, 22164361129], 'euler59': [1, 4, -60, -994, -1304, 27376, 435479, 1615184, -4539224, -204146726, -727041660, 2859697196, 42180533641], 'euler61': [1, -4, -32, -650, 292, 19532, 306323, 1191452, 1086532, -147537650, -443066912, -3378385204, 51520374361], 'euler67': [1, -5, -118, 327, 8263, -1138, -609341, -76246, 37092607, 98349501, -2377832278, -6750625535, 90458382169], 'euler7': [1, 2, 2, -19, 14, 98, 343, 0, 0, 0, 0, 0, 0], 'euler71': [1, 14, 375, 4072, 62245, 524366, 5783663, 37229986, 313777045, 1457413592, 9529380375, 25259210914, 128100283921], 'euler73': [1, 25, 254, 2073, 20533, 115046, 366817, 8398358, 109420357, 806432241, 7213153214, 51826789825, 151334226289], 'euler79': [1, -7, -44, 19, -1043, 28016, 109223, 2213264, -6509363, 9367741, -1713803564, -21539394793, 243087455521], 'euler83': [1, 8, -180, -518, 29404, 32420, -2713585, 2690860, 202564156, -296185666, -8542497780, 31512325144, 326940373369], 'euler89': [1, -9, -180, 729, 31041, -54846, -2925911, -4881294, 245875761, 513922401, -11293603380, -50256535041, 496981290961], 'euler97': [1, 28, 257, 2820, 59506, 545924, 3126001, 52954628, 559891954, 2573737860, 22752025217, 240445527196, 832972004929], 'euler_factors': [[1, -3, 6, -7, 6, -3, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 10, 63, 284, 1021, 2986, 7319, 14930, 25525, 35500, 39375, 31250, 15625], [1, 2, 2, -19, 14, 98, 343, 0, 0, 0, 0, 0, 0], [1, 2, 15, 124, 313, 1166, 7007, 12826, 37873, 165044, 219615, 322102, 1771561], [1, 2, -32, -26, 730, 230, -10729, 2990, 123370, -57122, -913952, 742586, 4826809], [1, -4, 9, -92, 58, 20, 5393, 340, 16762, -451996, 751689, -5679428, 24137569], [1, 3, -42, -61, 1311, 726, -27501, 13794, 473271, -418399, -5473482, 7428297, 47045881], [1, 14, 195, 1660, 13153, 77486, 423071, 1782178, 6957937, 20197220, 54568995, 90108802, 148035889], [1, -5, -30, 371, -185, -6020, 44357, -174580, -155585, 9048319, -21218430, -102555745, 594823321], [1, 14, 58, 250, 2992, 9728, -11857, 301568, 2875312, 7447750, 53564218, 400808114, 887503681], [1, 9, -21, -268, 1293, 4875, -42882, 180375, 1770117, -13575004, -39357381, 624095613, 2565726409], [1, -12, -18, 78, 7470, -24546, -158105, -1006386, 12557070, 5375838, -50863698, -1390274412, 4750104241], [1, -18, 114, -682, 7188, -33492, 63039, -1440156, 13290612, -54223774, 389743314, -2646151974, 6321363049], [1, 3, -108, -267, 7263, 9786, -360137, 459942, 16043967, -27720741, -527005548, 688035021, 10779215329], [1, 9, -36, -873, -1179, 26334, 272077, 1395702, -3311811, -129969621, -284057316, 3763759437, 22164361129], [1, 4, -60, -994, -1304, 27376, 435479, 1615184, -4539224, -204146726, -727041660, 2859697196, 42180533641], [1, -4, -32, -650, 292, 19532, 306323, 1191452, 1086532, -147537650, -443066912, -3378385204, 51520374361], [1, -5, -118, 327, 8263, -1138, -609341, -76246, 37092607, 98349501, -2377832278, -6750625535, 90458382169], [1, 14, 375, 4072, 62245, 524366, 5783663, 37229986, 313777045, 1457413592, 9529380375, 25259210914, 128100283921], [1, 25, 254, 2073, 20533, 115046, 366817, 8398358, 109420357, 806432241, 7213153214, 51826789825, 151334226289], [1, -7, -44, 19, -1043, 28016, 109223, 2213264, -6509363, 9367741, -1713803564, -21539394793, 243087455521], [1, 8, -180, -518, 29404, 32420, -2713585, 2690860, 202564156, -296185666, -8542497780, 31512325144, 326940373369], [1, -9, -180, 729, 31041, -54846, -2925911, -4881294, 245875761, 513922401, -11293603380, -50256535041, 496981290961], [1, 28, 257, 2820, 59506, 545924, 3126001, 52954628, 559891954, 2573737860, 22752025217, 240445527196, 832972004929]], 'id': 10111012, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/378/2/h/d'], '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': '12-378e6-1.1-c1e6-0-0', '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}, {'__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': '12-378e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.737338538225754, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 126223511987493455, 'z1': {'__RealLiteral__': 0, 'data': '0.18354262588459638198337137142', 'prec': 103}}