Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 2223.3906053418305, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 86436, 'conductor_radical': 42, 'degree': 4, 'dirichlet_coefficients': [1, -4, -9, 0, -24, 36, 0, 64, 0, 96, -66, 0, 196, 0, 216, -256, 216, 0, 340, 0, 0, 264, 1038, -576, 3125, -784, 729, 0, -4980, -864, 7048, 0, 594, -864, 0, 0, 12238, -1360, -1764, -1536, 12936, 0, -30824, 0, 0, -4152, -20604, 2304, 0, -12500, -1944, 0, -32490, -2916, 1584, 0, -3060, 19920, -34224, 0, -35654, -28192, 0, 4096, -4704, -2376, -12680, 0, -9342, 0, -85284, 0, -33734, -48952, -28125, 0, 0, 7056, 85108, 6144, -6561, -51744, -213528, 0, -5184, 123296, 44820, -4224, -34884, 0, 0, 0, -63432, 82416, -8160, 0, 37324, 0, 0, 0], 'euler11': [1, 66, -156695, 10629366, 25937424601], 'euler13': [1, -196, 752190, -72773428, 137858491849], 'euler17': [1, -216, -1373201, -306689112, 2015993900449], 'euler19': [1, -340, -2360499, -841873660, 6131066257801], 'euler2': [1, 4, 16, 0, 0], 'euler23': [1, -1038, -5358899, -6680924034, 41426511213649], 'euler29': [1, 4980, 47222398, 102145522020, 420707233300201], 'euler3': [1, 9, 81, 0, 0], 'euler31': [1, -7048, 21045153, -201778256248, 819628286980801], 'euler37': [1, -12238, 80424687, -848631345766, 4808584372417849], 'euler41': [1, -12936, 273547426, -1498715816136, 13422659310152401], 'euler43': [1, 30824, 531546630, 4531388247032, 21611482313284249], 'euler47': [1, 20604, 195179809, 4725424524228, 52599132235830049], 'euler5': [1, 24, -2549, 75000, 9765625], 'euler53': [1, 32490, 637404607, 13587171567570, 174887470365513049], 'euler59': [1, 34224, 456357877, 24467569208976, 511116753300641401], 'euler61': [1, 35654, 426611415, 30113236515854, 713342911662882601], 'euler67': [1, 12680, -1189342707, 17119586356760, 1822837804551761449], 'euler7': [1, 0, 0, 0, 0], 'euler71': [1, 85284, 5426798866, 153871895970684, 3255243551009881201], 'euler73': [1, 33734, -935088837, 69932997118262, 4297625829703557649], 'euler79': [1, -85108, 4166315265, -261882116006092, 9468276082626847201], 'euler83': [1, 213528, 19276632982, 841095470418504, 15516041187205853449], 'euler89': [1, 34884, -4367165993, 194794329818916, 31181719929966183601], 'euler97': [1, -37324, 17522950758, -320513887752268, 73742412689492826049], 'euler_factors': [[1, 4, 16, 0, 0], [1, 9, 81, 0, 0], [1, 24, -2549, 75000, 9765625], [1, 0, 0, 0, 0], [1, 66, -156695, 10629366, 25937424601], [1, -196, 752190, -72773428, 137858491849], [1, -216, -1373201, -306689112, 2015993900449], [1, -340, -2360499, -841873660, 6131066257801], [1, -1038, -5358899, -6680924034, 41426511213649], [1, 4980, 47222398, 102145522020, 420707233300201], [1, -7048, 21045153, -201778256248, 819628286980801], [1, -12238, 80424687, -848631345766, 4808584372417849], [1, -12936, 273547426, -1498715816136, 13422659310152401], [1, 30824, 531546630, 4531388247032, 21611482313284249], [1, 20604, 195179809, 4725424524228, 52599132235830049], [1, 32490, 637404607, 13587171567570, 174887470365513049], [1, 34224, 456357877, 24467569208976, 511116753300641401], [1, 35654, 426611415, 30113236515854, 713342911662882601], [1, 12680, -1189342707, 17119586356760, 1822837804551761449], [1, 85284, 5426798866, 153871895970684, 3255243551009881201], [1, 33734, -935088837, 69932997118262, 4297625829703557649], [1, -85108, 4166315265, -261882116006092, 9468276082626847201], [1, 213528, 19276632982, 841095470418504, 15516041187205853449], [1, 34884, -4367165993, 194794329818916, 31181719929966183601], [1, -37324, 17522950758, -320513887752268, 73742412689492826049]], 'id': 24085231, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/294/6/e/b'], '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': '4-294e2-1.1-c5e2-0-1', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5, 5], 'order_of_vanishing': 0, 'prelabel': '4-294e2-1.1-c5e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.866792775744461, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5e2-0', 'trace_hash': 1901935779757927495, 'z1': {'__RealLiteral__': 0, 'data': '0.10120781433427948519655163143', 'prec': 103}}