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  • lfunc_lfunctions • Show schema
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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.895601158618466947108564681988', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '0.907986123055654896529936135141', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '0.987694852144141500660473142921', 'prec': 100}}
  • 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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'mu_real': [], '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': 1726452379500496550, 'z1': {'__RealLiteral__': 0, 'data': '0.895601158618466947108564681988', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1135309346287797312993586949362,1151009153890403892411415484129,1252051972162853264763381355256,2037746448125497496735708631619', 'Lhash_array': ['1135309346287797312993586949362', '1151009153890403892411415484129', '1252051972162853264763381355256', '2037746448125497496735708631619'], 'factors': ['2-75-1.1-c9-0-8', '2-75-1.1-c9-0-9', '2-75-1.1-c9-0-11', '2-75-1.1-c9-0-22'], 'label': '8-75e4-1.1-c9e4-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/75/10/a/j'}