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  • lfunc_lfunctions • Show schema
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'12-57e6-1.1-c1e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.6746460490666928, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e6-0', 'trace_hash': 1223673842876975480, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.96527678731675760254305012060', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.20164391801485012388063492124', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.74236775234105993300540668983', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.008890205012281008, 'bad_primes': [3, 19], 'central_character': '1.1', 'conductor': 34296447249, 'conductor_radical': 57, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 8, 0, 0, 33, 0, 0, 0, 0, 0, 51, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 33, 0, 726, 0, 9317, 0, 87846, 0, 483153, 0, 1771561], 'euler13': [1, 15, 114, 426, 147, -7611, -41441, -98943, 24843, 935922, 3255954, 5569395, 4826809], 'euler17': [1, 0, 0, 0, 0, 0, 4913, 0, 0, 0, 0, 0, 24137569], 'euler19': [1, -3, 60, -115, 1140, -1083, 6859, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 64], 'euler23': [1, 0, 0, 0, 0, 0, 12167, 0, 0, 0, 0, 0, 148035889], 'euler29': [1, 0, 0, 0, 0, 0, -24389, 0, 0, 0, 0, 0, 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True, 'root_analytic_conductor': 0.6746460490666928, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e6-0', 'trace_hash': 1223673842876975480, 'z1': {'__RealLiteral__': 0, 'data': '1.96527678731675760254305012060', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2491284299056694109862926275808,2790915234160355442164747130349,3476364127301684979510922902732,4133149355447993242699938951647,4216392857128546983819684605315,4799920688338611136263886833010', 'Lhash_array': ['2491284299056694109862926275808', '2790915234160355442164747130349', '3476364127301684979510922902732', '4133149355447993242699938951647', '4216392857128546983819684605315', '4799920688338611136263886833010'], 'factors': ['2-57-57.32-c1-0-1', '2-57-57.2-c1-0-1', '2-57-57.14-c1-0-2', '2-57-57.29-c1-0-2', '2-57-57.53-c1-0-2', '2-57-57.41-c1-0-4'], 'label': '12-57e6-1.1-c1e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/57/2/j/a'}