# Euler Factors of 1-431-431.109-r0-0-0 downloaded from the LMFDB on 31 October 2024. {"bad_lfactors": [[431, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.639673021558891, -0.7686471397785322]]], [3, [[1.0, 0.0], [0.391104720490156, 0.9203461835691594]]], [5, [[1.0, 0.0], [0.9391360915965425, 0.34354534120079466]]], [7, [[1.0, 0.0], [0.1383691743415357, -0.9903807205272332]]], [11, [[1.0, 0.0], [-0.09483564863818325, -0.9954929430927046]]], [13, [[1.0, 0.0], [0.9286967055228741, -0.3708401665825319]]], [17, [[1.0, 0.0], [0.9174642233523874, -0.39781829881039954]]], [19, [[1.0, 0.0], [-0.5578461730808569, 0.8299443639058238]]], [23, [[1.0, 0.0], [-0.2950876062343152, -0.9554702008157563]]], [29, [[1.0, 0.0], [-0.9913652086070535, 0.13112979510200298]]], [31, [[1.0, 0.0], [-0.9440555609551757, -0.3297864427619915]]], [37, [[1.0, 0.0], [0.979148666789775, 0.20314499335156205]]], [41, [[1.0, 0.0], [0.9656099536730135, 0.2599950333517942]]], [43, [[1.0, 0.0], [0.8648051652647988, 0.5021075842200792]]], [47, [[1.0, 0.0], [0.2529333823916808, 0.9674836970574252]]], [53, [[1.0, 0.0], [0.3640452441641466, 0.9313812646824429]]], [59, [[1.0, 0.0], [-0.9693057982629274, 0.24585823039684687]]], [61, [[1.0, 0.0], [0.9487734664600955, -0.31595713212601156]]], [67, [[1.0, 0.0], [-0.9115535426216013, 0.4111813941972672]]], [71, [[1.0, 0.0], [0.998292388099557, 0.05841496265926587]]], [73, [[1.0, 0.0], [-0.15282538925430533, -0.9882532066223059]]], [79, [[1.0, 0.0], [0.9727946878597195, 0.23166893462851437]]], [83, [[1.0, 0.0], [-0.7544432299191025, 0.656365304406953]]], [89, [[1.0, 0.0], [-0.8859778171561117, -0.4637276221094571]]], [97, [[1.0, 0.0], [-0.6508358513272353, 0.75921847621561]]], [101, [[1.0, 0.0], [0.5209403404879298, -0.8535930890373467]]]]}