# Euler Factors of 1-6223-6223.1762-r0-0-0 downloaded from the LMFDB on 12 January 2026.
{"bad_lfactors": [[7, [[1.0, 0.0]]], [127, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [-0.5, -0.8660254037844385]]], [3, [[1.0, 0.0], [0.8262387743159945, -0.5633200580636224]]], [5, [[1.0, 0.0], [0.3653410243663943, -0.9308737486442045]]], [7, [[1.0, 0.0]]], [11, [[1.0, 0.0], [0.365341024366395, 0.9308737486442042]]], [13, [[1.0, 0.0], [0.22252093395631428, -0.9749279121818236]]], [17, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [19, [[1.0, 0.0], [0.5, 0.8660254037844386]]], [23, [[1.0, 0.0], [-0.8262387743159949, -0.5633200580636218]]], [29, [[1.0, 0.0], [0.9009688679024189, -0.43388373911755845]]], [31, [[1.0, 0.0], [0.9888308262251285, -0.14904226617617458]]], [37, [[1.0, 0.0], [0.3653410243663943, -0.9308737486442045]]], [41, [[1.0, 0.0], [-0.6234898018587337, -0.7818314824680296]]], [43, [[1.0, 0.0], [-1.0, 0.0]]], [47, [[1.0, 0.0], [-0.07473009358642467, -0.99720379718118]]], [53, [[1.0, 0.0], [-0.07473009358642398, 0.9972037971811801]]], [59, [[1.0, 0.0], [0.9555728057861407, 0.29475517441090415]]], [61, [[1.0, 0.0], [-0.8262387743159949, -0.5633200580636218]]], [67, [[1.0, 0.0], [0.7330518718298263, 0.6801727377709192]]], [71, [[1.0, 0.0], [-0.900968867902419, 0.4338837391175582]]], [73, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [79, [[1.0, 0.0], [0.07473009358642432, 0.9972037971811801]]], [83, [[1.0, 0.0], [0.6234898018587335, 0.7818314824680298]]], [89, [[1.0, 0.0], [0.3653410243663943, -0.9308737486442045]]], [97, [[1.0, 0.0], [-0.22252093395631495, -0.9749279121818234]]], [101, [[1.0, 0.0], [0.9555728057861407, 0.29475517441090415]]]]}