Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 780484390.6529279, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 3010936384000000000000, 'conductor_radical': 190, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, -22, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 34, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 10, 32, 135, 160, 3468, 1760, 16335, 42592, 146410, 0, 1771561], 'euler13': [1, 0, 11, 0, 55, 0, -2146, 0, 9295, 0, 314171, 0, 4826809], 'euler17': [1, 0, -85, 0, 3219, 0, -70126, 0, 930291, 0, -7099285, 0, 24137569], 'euler19': [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -97, 0, 4419, 0, -124918, 0, 2337651, 0, -27144577, 0, 148035889], 'euler29': [1, -14, 135, -830, 5939, -39036, 251434, -1132044, 4994699, -20242870, 95482935, -287156086, 594823321], 'euler3': [1, 0, -9, 0, 47, 0, -170, 0, 423, 0, -729, 0, 729], 'euler31': [1, -12, 190, -1604, 14783, -92536, 611972, -2868616, 14206463, -47784764, 175468990, -343549812, 887503681], 'euler37': [1, 0, -74, 0, 4747, 0, -190436, 0, 6498643, 0, -138687914, 0, 2565726409], 'euler41': [1, 44, 930, 12956, 137183, 1177368, 8314012, 48272088, 230604623, 892940476, 2627957730, 5097672844, 4750104241], 'euler43': [1, 0, -94, 0, 7591, 0, -340324, 0, 14035759, 0, -321367294, 0, 6321363049], 'euler47': [1, 0, -58, 0, 3567, 0, -270316, 0, 7879503, 0, -283021498, 0, 10779215329], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 67, 0, 7527, 0, 328942, 0, 21143343, 0, 528662227, 0, 22164361129], 'euler59': [1, 22, 195, 322, 323, 106404, 1475218, 6277836, 1124363, 66132038, 2362885395, 15728334578, 42180533641], 'euler61': [1, 32, 670, 9824, 119303, 1185536, 10146692, 72317696, 443926463, 2229861344, 9276713470, 27027081632, 51520374361], 'euler67': [1, 0, -201, 0, 22943, 0, -1802666, 0, 102991127, 0, -4050375321, 0, 90458382169], 'euler7': [1, 0, -9, 0, 35, 0, -38, 0, 1715, 0, -21609, 0, 117649], 'euler71': [1, 0, 426, 0, 75615, 0, 7158220, 0, 381175215, 0, 10825376106, 0, 128100283921], 'euler73': [1, 0, -69, 0, 14051, 0, -586094, 0, 74877779, 0, -1959478629, 0, 151334226289], 'euler79': [1, 52, 1566, 32348, 507743, 6250152, 61908676, 493762008, 3168824063, 15948825572, 60995826846, 160006932748, 243087455521], 'euler83': [1, 0, -398, 0, 71991, 0, -7610180, 0, 495945999, 0, -18888411758, 0, 326940373369], 'euler89': [1, -12, 66, 196, 639, -105432, 2055644, -9383448, 5061519, 138173924, 4140987906, -67008713388, 496981290961], 'euler97': [1, 0, -402, 0, 79331, 0, -9565460, 0, 746425379, 0, -35588770962, 0, 832972004929], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -9, 0, 47, 0, -170, 0, 423, 0, -729, 0, 729], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -9, 0, 35, 0, -38, 0, 1715, 0, -21609, 0, 117649], [1, 0, 10, 32, 135, 160, 3468, 1760, 16335, 42592, 146410, 0, 1771561], [1, 0, 11, 0, 55, 0, -2146, 0, 9295, 0, 314171, 0, 4826809], [1, 0, -85, 0, 3219, 0, -70126, 0, 930291, 0, -7099285, 0, 24137569], [1, 6, 15, 20, 15, 6, 1, 0, 0, 0, 0, 0, 0], [1, 0, -97, 0, 4419, 0, -124918, 0, 2337651, 0, -27144577, 0, 148035889], [1, -14, 135, -830, 5939, -39036, 251434, -1132044, 4994699, -20242870, 95482935, -287156086, 594823321], [1, -12, 190, -1604, 14783, -92536, 611972, -2868616, 14206463, -47784764, 175468990, -343549812, 887503681], [1, 0, -74, 0, 4747, 0, -190436, 0, 6498643, 0, -138687914, 0, 2565726409], [1, 44, 930, 12956, 137183, 1177368, 8314012, 48272088, 230604623, 892940476, 2627957730, 5097672844, 4750104241], [1, 0, -94, 0, 7591, 0, -340324, 0, 14035759, 0, -321367294, 0, 6321363049], [1, 0, -58, 0, 3567, 0, -270316, 0, 7879503, 0, -283021498, 0, 10779215329], [1, 0, 67, 0, 7527, 0, 328942, 0, 21143343, 0, 528662227, 0, 22164361129], [1, 22, 195, 322, 323, 106404, 1475218, 6277836, 1124363, 66132038, 2362885395, 15728334578, 42180533641], [1, 32, 670, 9824, 119303, 1185536, 10146692, 72317696, 443926463, 2229861344, 9276713470, 27027081632, 51520374361], [1, 0, -201, 0, 22943, 0, -1802666, 0, 102991127, 0, -4050375321, 0, 90458382169], [1, 0, 426, 0, 75615, 0, 7158220, 0, 381175215, 0, 10825376106, 0, 128100283921], [1, 0, -69, 0, 14051, 0, -586094, 0, 74877779, 0, -1959478629, 0, 151334226289], [1, 52, 1566, 32348, 507743, 6250152, 61908676, 493762008, 3168824063, 15948825572, 60995826846, 160006932748, 243087455521], [1, 0, -398, 0, 71991, 0, -7610180, 0, 495945999, 0, -18888411758, 0, 326940373369], [1, -12, 66, 196, 639, -105432, 2055644, -9383448, 5061519, 138173924, 4140987906, -67008713388, 496981290961], [1, 0, -402, 0, 79331, 0, -9565460, 0, 746425379, 0, -35588770962, 0, 832972004929]], 'id': 23573543, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3800/2/d/n'], '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': '12-3800e6-1.1-c1e6-0-5', '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': '12-3800e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.508461923993535, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 507183873826533732, 'z1': {'__RealLiteral__': 0, 'data': '0.25823291424071232560391514923', 'prec': 103}}