# Euler Factors of 1-2e9-512.21-r0-0-0 downloaded from the LMFDB on 16 January 2025. {"bad_lfactors": [[2, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [0.33688985339222, -0.9415440651830207]]], [5, [[1.0, 0.0], [0.5956993044924332, -0.8032075314806449]]], [7, [[1.0, 0.0], [0.9951847266721968, 0.09801714032956059]]], [11, [[1.0, 0.0], [-0.7409511253549591, 0.6715589548470183]]], [13, [[1.0, 0.0], [-0.9891765099647809, -0.14673047445536172]]], [17, [[1.0, 0.0], [0.5555702330196022, -0.8314696123025452]]], [19, [[1.0, 0.0], [-0.857728610000272, -0.5141027441932216]]], [23, [[1.0, 0.0], [0.8819212643483549, -0.4713967368259976]]], [29, [[1.0, 0.0], [-0.04906767432741801, -0.9987954562051723]]], [31, [[1.0, 0.0], [0.3826834323650897, -0.9238795325112867]]], [37, [[1.0, 0.0], [-0.24298017990326387, 0.970031253194544]]], [41, [[1.0, 0.0], [-0.29028467725446233, 0.9569403357322088]]], [43, [[1.0, 0.0], [0.9415440651830207, -0.33688985339222]]], [47, [[1.0, 0.0], [-0.9807852804032304, 0.19509032201612825]]], [53, [[1.0, 0.0], [-0.04906767432741801, 0.9987954562051723]]], [59, [[1.0, 0.0], [0.9891765099647809, -0.14673047445536172]]], [61, [[1.0, 0.0], [-0.42755509343028203, -0.9039892931234433]]], [67, [[1.0, 0.0], [0.9039892931234433, -0.42755509343028203]]], [71, [[1.0, 0.0], [-0.6343932841636454, -0.7730104533627369]]], [73, [[1.0, 0.0], [0.9951847266721968, -0.09801714032956059]]], [79, [[1.0, 0.0], [-0.19509032201612825, 0.9807852804032304]]], [83, [[1.0, 0.0], [-0.24298017990326387, -0.970031253194544]]], [89, [[1.0, 0.0], [0.8819212643483549, 0.4713967368259976]]], [97, [[1.0, 0.0], [-0.9238795325112867, -0.3826834323650897]]], [101, [[1.0, 0.0], [0.5141027441932216, 0.857728610000272]]]]}