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  • lfunc_lfunctions • Show schema
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8.139752826868706, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c6e4-0', 'trace_hash': 1073976825074650210, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.16125032756029241918581659310', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '0.36247485584408369126209976959', 'prec': 97}, 'z3': {'__RealLiteral__': 0, 'data': '1.24110426086958319680851422625', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 19270355.99804718, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 6879707136, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -151208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -346180, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1175320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1556352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6108480, 0, 0, 0], 'euler11': [1, 0, 5106524, 0, 12796003594086, 0, 16026459828006827804, 0, 9849732675807611094711841], 'euler13': [1, -2016, 20831332, -29704637088, 154566075442470, -143378609638092192, 485330146150662374692, -226710100415146104548064, 542800770374370512771595361], 'euler17': [1, 0, -81168192, 0, 2812313322596738, 0, -47290393614934788962112, 0, 339448671314611904643504117121], 'euler19': [1, 0, 90641380, 0, 6480594780208422, 0, 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'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 'nu_real_doubled': [6, 6, 6, 6], 'order_of_vanishing': 0, 'prelabel': '8-288e4-1.1-c6e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 8.139752826868706, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c6e4-0', 'trace_hash': 1073976825074650210, 'z1': {'__RealLiteral__': 0, 'data': '0.16125032756029241918581659310', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '204409074518803287106584800516,459491468578393617085514523203,1573286561237140143837504320727,1954025148008662371055120209778', 'Lhash_array': ['204409074518803287106584800516', '459491468578393617085514523203', '1573286561237140143837504320727', '1954025148008662371055120209778'], 'factors': ['2-288-3.2-c6-0-2', '2-288-3.2-c6-0-5', '2-288-3.2-c6-0-17', '2-288-3.2-c6-0-21'], 'label': '8-288e4-1.1-c6e4-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/288/7/e/g'}