# Euler Factors of 1-4729-4729.1031-r0-0-0 downloaded from the LMFDB on 14 November 2025. {"bad_lfactors": [[4729, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.35116152500179454, -0.9363148954056076]]], [3, [[1.0, 0.0], [-0.9087264778787532, 0.4173921278630872]]], [5, [[1.0, 0.0], [0.5933618372070797, -0.8049358546780228]]], [7, [[1.0, 0.0], [-0.739219538726589, -0.6734645302945426]]], [11, [[1.0, 0.0], [0.9215745067295166, 0.3882015308396506]]], [13, [[1.0, 0.0], [0.8096414378394028, 0.5869248181269423]]], [17, [[1.0, 0.0], [-0.5137464929782584, 0.8579420382243431]]], [19, [[1.0, 0.0], [-0.37592052410727794, -0.9266519085152252]]], [23, [[1.0, 0.0], [-0.8565735423029405, -0.5160249670574018]]], [29, [[1.0, 0.0], [-0.3511615250017952, -0.9363148954056073]]], [31, [[1.0, 0.0], [0.15091926480582488, 0.9885460917481133]]], [37, [[1.0, 0.0], [0.979667781446381, -0.20062661337899754]]], [41, [[1.0, 0.0], [0.996822780662041, -0.07965139015231601]]], [43, [[1.0, 0.0], [-0.17713705718766767, 0.9841861932433785]]], [47, [[1.0, 0.0], [-0.7136539635240837, 0.7004984085252197]]], [53, [[1.0, 0.0], [-0.9774795061135753, 0.21103036541683043]]], [59, [[1.0, 0.0], [0.2084316176480969, -0.9780369424334632]]], [61, [[1.0, 0.0], [-0.610341686121531, 0.7921382620365756]]], [67, [[1.0, 0.0], [-0.03454532882413523, 0.999403132002513]]], [71, [[1.0, 0.0], [0.988943722169305, -0.14829131593562853]]], [73, [[1.0, 0.0], [-0.17190291737416713, 0.9851138954447095]]], [79, [[1.0, 0.0], [0.5, 0.8660254037844386]]], [83, [[1.0, 0.0], [-0.3857507448700429, -0.9226030364312742]]], [89, [[1.0, 0.0], [-0.8777368821427955, -0.4791429491563496]]], [97, [[1.0, 0.0], [-0.739219538726589, -0.6734645302945426]]], [101, [[1.0, 0.0], [-0.2703530958903626, 0.9627612391151278]]]]}