# Euler Factors of 1-1305-1305.508-r0-0-0 downloaded from the LMFDB on 28 July 2026. {"bad_lfactors": [[3, [[1.0, 0.0]]], [5, [[1.0, 0.0]]], [29, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.9555728057861407, 0.29475517441090415]]], [3, [[1.0, 0.0]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [-0.5633200580636224, -0.8262387743159945]]], [11, [[1.0, 0.0], [-0.9308737486442042, 0.365341024366395]]], [13, [[1.0, 0.0], [-0.14904226617617425, 0.9888308262251285]]], [17, [[1.0, 0.0], [1.0, 0.0]]], [19, [[1.0, 0.0], [0.4338837391175582, 0.900968867902419]]], [23, [[1.0, 0.0], [0.2947551744109043, 0.9555728057861407]]], [29, [[1.0, 0.0]]], [31, [[1.0, 0.0], [-0.6801727377709194, -0.7330518718298262]]], [37, [[1.0, 0.0], [-0.6234898018587337, -0.7818314824680296]]], [41, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [43, [[1.0, 0.0], [0.7330518718298263, 0.6801727377709192]]], [47, [[1.0, 0.0], [-0.365341024366395, -0.9308737486442042]]], [53, [[1.0, 0.0], [0.9749279121818234, -0.22252093395631495]]], [59, [[1.0, 0.0], [0.5, 0.8660254037844386]]], [61, [[1.0, 0.0], [0.563320058063622, 0.8262387743159948]]], [67, [[1.0, 0.0], [0.9308737486442042, 0.36534102436639493]]], [71, [[1.0, 0.0], [-0.6234898018587332, 0.78183148246803]]], [73, [[1.0, 0.0], [-0.22252093395631428, 0.9749279121818236]]], [79, [[1.0, 0.0], [0.14904226617617458, 0.9888308262251285]]], [83, [[1.0, 0.0], [0.9972037971811801, 0.07473009358642424]]], [89, [[1.0, 0.0], [-0.9749279121818235, 0.2225209339563146]]], [97, [[1.0, 0.0], [-0.07473009358642398, 0.9972037971811801]]], [101, [[1.0, 0.0], [0.6801727377709189, -0.7330518718298267]]]]}