Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 198222688.89695197, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 764699349893278334976, 'conductor_radical': 42, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 1, 0, -3, 0, 0, 0, -2, 0, -3, 0, 0, 0, -4, 0, -6, 0, 0, 0, -14, 0, 11, 0, 0, 0, 1, 0, -3, 0, 0, 0, -3, 0, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0, -21, 0, 3, 0, 0, 0, -12, 0, -2, 0, 0, 0, -31, 0, -6, 0, 0, 0, -3, 0, 6, 0, 0, 0, 34, 0, -6, 0, 0, 0, 6, 0, -9, 0, 0, 0, -20, 0, -4, 0, 0, 0, -24, 0, 9, 0, 0, 0, -6, 0, 9, 0, 0, 0], 'euler11': [1, 2, -4, 46, 6, -230, 1699, -2530, 726, 61226, -58564, 322102, 1771561], 'euler13': [1, 3, 3, -84, -195, 345, 5006, 4485, -32955, -184548, 85683, 1113879, 4826809], 'euler17': [1, 4, 68, 170, 2196, 4676, 47395, 79492, 634644, 835210, 5679428, 5679428, 24137569], 'euler19': [1, 6, 75, 268, 2553, 8238, 62823, 156522, 921633, 1838212, 9774075, 14856594, 47045881], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 14, 74, 358, 2628, 11188, 33943, 257324, 1390212, 4355786, 20708234, 90108802, 148035889], 'euler29': [1, -1, -46, -149, 897, 4282, -13523, 124178, 754377, -3633961, -32534926, -20511149, 594823321], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 3, -48, -147, 1005, 1344, -24505, 41664, 965805, -4379277, -44329008, 85887453, 887503681], 'euler37': [1, 6, 171, 884, 13749, 58434, 651063, 2162058, 18822381, 44777252, 320481531, 416063742, 2565726409], 'euler41': [1, 0, -90, -18, 4410, 810, -194177, 33210, 7413210, -1240578, -254318490, 0, 4750104241], 'euler43': [1, -3, -24, 979, -1947, -14820, 386067, -637260, -3600003, 77837353, -82051224, -441025329, 6321363049], 'euler47': [1, 21, 180, 1119, 10053, 100416, 788551, 4719552, 22207077, 116177937, 878342580, 4816245147, 10779215329], 'euler5': [1, -1, -10, 7, 57, -14, -299, -70, 1425, 875, -6250, -3125, 15625], 'euler53': [1, 12, 360, 3198, 50940, 339888, 3674995, 18014064, 143090460, 476108646, 2840573160, 5018345916, 22164361129], 'euler59': [1, 31, 476, 5741, 62553, 587576, 4781851, 34666984, 217746993, 1179080839, 5767863836, 22162653269, 42180533641], 'euler61': [1, 6, 48, 642, 3018, 35394, 438671, 2159034, 11229978, 145721802, 664600368, 5067577806, 51520374361], 'euler67': [1, -6, -150, 506, 17268, -28236, -1220289, -1891812, 77516052, 152186078, -3022668150, -8100750642, 90458382169], 'euler7': [1, 3, 6, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0], 'euler71': [1, -34, 527, -5060, 48297, -579326, 5897431, -41132146, 243465177, -1811029660, 13391955887, -61343797934, 128100283921], 'euler73': [1, 6, 399, 1888, 68649, 257394, 6554487, 18789762, 365830521, 734464096, 11330898159, 12438429558, 151334226289], 'euler79': [1, 9, -114, -351, 13143, -15786, -1414609, -1247094, 82025463, -173056689, -4440309234, 27693507591, 243087455521], 'euler83': [1, 20, 38, 346, 32058, 183754, -606869, 15251582, 220847562, 197838302, 1803416198, 78780812860, 326940373369], 'euler89': [1, 24, 576, 8034, 119304, 1267080, 14026579, 112770120, 945006984, 5663720946, 36139530816, 134017426776, 496981290961], 'euler97': [1, -9, -66, 2023, -7707, -73950, 1766073, -7173150, -72515163, 1846337479, -5842932546, -77286062313, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -10, 7, 57, -14, -299, -70, 1425, 875, -6250, -3125, 15625], [1, 3, 6, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0], [1, 2, -4, 46, 6, -230, 1699, -2530, 726, 61226, -58564, 322102, 1771561], [1, 3, 3, -84, -195, 345, 5006, 4485, -32955, -184548, 85683, 1113879, 4826809], [1, 4, 68, 170, 2196, 4676, 47395, 79492, 634644, 835210, 5679428, 5679428, 24137569], [1, 6, 75, 268, 2553, 8238, 62823, 156522, 921633, 1838212, 9774075, 14856594, 47045881], [1, 14, 74, 358, 2628, 11188, 33943, 257324, 1390212, 4355786, 20708234, 90108802, 148035889], [1, -1, -46, -149, 897, 4282, -13523, 124178, 754377, -3633961, -32534926, -20511149, 594823321], [1, 3, -48, -147, 1005, 1344, -24505, 41664, 965805, -4379277, -44329008, 85887453, 887503681], [1, 6, 171, 884, 13749, 58434, 651063, 2162058, 18822381, 44777252, 320481531, 416063742, 2565726409], [1, 0, -90, -18, 4410, 810, -194177, 33210, 7413210, -1240578, -254318490, 0, 4750104241], [1, -3, -24, 979, -1947, -14820, 386067, -637260, -3600003, 77837353, -82051224, -441025329, 6321363049], [1, 21, 180, 1119, 10053, 100416, 788551, 4719552, 22207077, 116177937, 878342580, 4816245147, 10779215329], [1, 12, 360, 3198, 50940, 339888, 3674995, 18014064, 143090460, 476108646, 2840573160, 5018345916, 22164361129], [1, 31, 476, 5741, 62553, 587576, 4781851, 34666984, 217746993, 1179080839, 5767863836, 22162653269, 42180533641], [1, 6, 48, 642, 3018, 35394, 438671, 2159034, 11229978, 145721802, 664600368, 5067577806, 51520374361], [1, -6, -150, 506, 17268, -28236, -1220289, -1891812, 77516052, 152186078, -3022668150, -8100750642, 90458382169], [1, -34, 527, -5060, 48297, -579326, 5897431, -41132146, 243465177, -1811029660, 13391955887, -61343797934, 128100283921], [1, 6, 399, 1888, 68649, 257394, 6554487, 18789762, 365830521, 734464096, 11330898159, 12438429558, 151334226289], [1, 9, -114, -351, 13143, -15786, -1414609, -1247094, 82025463, -173056689, -4440309234, 27693507591, 243087455521], [1, 20, 38, 346, 32058, 183754, -606869, 15251582, 220847562, 197838302, 1803416198, 78780812860, 326940373369], [1, 24, 576, 8034, 119304, 1267080, 14026579, 112770120, 945006984, 5663720946, 36139530816, 134017426776, 496981290961], [1, -9, -66, 2023, -7707, -73950, 1766073, -7173150, -72515163, 1846337479, -5842932546, -77286062313, 832972004929]], 'id': 23582350, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3024/2/r/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': '12-3024e6-1.1-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': '12-3024e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.9139354463846185, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1389278238688667202, 'z1': {'__RealLiteral__': 0, 'data': '0.07703309323769526066293749891', 'prec': 103}}