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  • lfunc_lfunctions • Show schema
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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 2226357.2115213773, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 31640625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 2, -324, -126, 0, -648, -13036, 7616, 65610, 0, 104696, 40824, -140812, -26072, 0, 124252, -489352, 131220, 393308, 0, 4223664, 209392, -2326488, -2467584, 0, -281624, -10628820, 1642536, 4926616, 0, -97516, 2548600, -33921504, -978704, 0, -8266860, 4958984, 786616, 45623088, 0, -996656, 8447328, -28298860, -13191696, 0, -4652976, 30714920, -40257648, 44610894, 0, 158550048, 17742312, -70694368, -21257640, 0, -99282176, -127431792, 9853232, 225946712, 0, 6295340, -195032, -855291960, 15467256, 0, -67843008, 217434788, 61658352, 753782112, 0, 22716688, 499685760, -79864888, 9917968, 0, -49556808, -1364817056, 91246176, 1276962080, 0, 1506635235, -1993312, -175482984, -532181664, 0, -56597720, -1596223584, 797364736, -897754752, 0, 1835625232, 293137488, 31595184, 61429840, 0, 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[], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [9, 9, 9, 9], 'order_of_vanishing': 0, 'prelabel': '8-75e4-1.1-c9e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 6.215117674854636, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c9e4-0', 'trace_hash': 817344787326936411, 'z1': {'__RealLiteral__': 0, 'data': '0.42093737406922370029831749621', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '533601514897346150168795153678,736536750122378313734619902742,772389838987486434334267959880,1746748073035359647235134287520', 'Lhash_array': ['533601514897346150168795153678', '736536750122378313734619902742', '772389838987486434334267959880', '1746748073035359647235134287520'], 'factors': ['2-75-1.1-c9-0-1', '2-75-1.1-c9-0-3', '2-75-1.1-c9-0-4', '2-75-1.1-c9-0-16'], 'label': '8-75e4-1.1-c9e4-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/10/a/k'}