Query:
/api/lfunc_search/?_offset=0
{'algebraic': True, 'analytic_conductor': 324.94584285294974, 'bad_primes': [5, 7], 'central_character': '1.1', 'conductor': 1225, 'conductor_radical': 35, 'degree': 4, 'dirichlet_coefficients': [1, -24, -174, -584, 1250, 4176, 4802, 29568, 6669, -30000, 18566, 101616, -51090, -115248, -217500, 576, -373910, -160056, -143276, -730000, -835548, -445584, -498908, -5144832, 1171875, 1226160, -477630, -2804368, -11577554, 5220000, -3953760, -20845056, -3230484, 8973840, 6002500, -3894696, -3205412, 3438624, 8889660, 36960000, 1058992, 20053152, 15948180, -10842544, 8336250, 11973792, 65501290, -100224, 17294403, -28125000, 65060340, 29836560, -25114688, 11463120, 23207500, 141985536, 24930024, 277861296, -116159208, 127020000, -44688544, 94890240, 32024538, 289373696, -63862500, 77531616, 118092496, 218363440, 86809992, -144060000, -294165824, 197188992, -57419332, 76929888, -203906250, 83673184, 89153932, -213351840, -692852854, 720000, 134174556, -25415808, -540679928, 487960032, 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'euler79': [1, 692852854, 353229306838520119, 83039520333012036711832426, 14364405059580771582276370834385761], 'euler83': [1, 540679928, 378894185867322102, 101074843758355365831130984, 34946659039493167390823397237402409], 'euler89': [1, 779043704, 776620283810146850, 272942950464398609744574136, 122749609618842355502421774953773681], 'euler97': [1, 2673039406, 3290052660205451443, 2032127577448750166837941102, 577951262543040979328274795306257089], 'euler_factors': [[1, 24, 1160, 12288, 262144], [1, 174, 23607, 3424842, 387420489], [1, -1250, 390625, 0, 0], [1, -4802, 5764801, 0, 0], [1, -18566, 4136090463, -43777656831106, 5559917313492231481], [1, 51090, 19172461323, 541783872966570, 112455406951957393129], [1, 373910, 270283008251, 44341192900993270, 14063084452067724991009], [1, 143276, 642750798250, 46233402586984004, 104127350297911241532841], [1, 498908, -1733603053870, 898609472025182404, 3244150909895248285300369], [1, 11577554, 61819642147595, 167957265921506044426, 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3380367182568822441494116, 3465863721549107204083472585375569], [1, 692852854, 353229306838520119, 83039520333012036711832426, 14364405059580771582276370834385761], [1, 540679928, 378894185867322102, 101074843758355365831130984, 34946659039493167390823397237402409], [1, 779043704, 776620283810146850, 272942950464398609744574136, 122749609618842355502421774953773681], [1, 2673039406, 3290052660205451443, 2032127577448750166837941102, 577951262543040979328274795306257089]], 'id': 16147484, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/35/10/a/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': '4-35e2-1.1-c9e2-0-0', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9, 9], 'order_of_vanishing': 2, 'prelabel': '4-35e2-1.1-c9e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.24573365459205, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9e2-0', 'trace_hash': 2105057649225164291, 'z1': {'__RealLiteral__': 0, 'data': '1.30518867075844682515039124990', 'prec': 103}}