# Euler Factors of 1-475-475.167-r0-0-0 downloaded from the LMFDB on 23 December 2025. {"bad_lfactors": [[5, [[1.0, 0.0]]], [19, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [-0.06975647374412504, 0.9975640502598242]]], [3, [[1.0, 0.0], [-0.9993908270190957, 0.03489949670250119]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [0.8660254037844385, -0.5]]], [11, [[1.0, 0.0], [-0.10452846326765378, -0.9945218953682733]]], [13, [[1.0, 0.0], [-0.8290375725550415, 0.559192903470747]]], [17, [[1.0, 0.0], [-0.9271838545667876, -0.37460659341591135]]], [19, [[1.0, 0.0]]], [23, [[1.0, 0.0], [-0.6946583704589969, 0.7193398003386513]]], [29, [[1.0, 0.0], [-0.37460659341591196, -0.9271838545667873]]], [31, [[1.0, 0.0], [-0.669130606358858, 0.7431448254773944]]], [37, [[1.0, 0.0], [-0.5877852522924729, 0.8090169943749476]]], [41, [[1.0, 0.0], [-0.9612616959383189, -0.27563735581699883]]], [43, [[1.0, 0.0], [-0.9848077530122081, -0.1736481776669297]]], [47, [[1.0, 0.0], [0.9271838545667873, -0.37460659341591196]]], [53, [[1.0, 0.0], [-0.13917310096006527, 0.9902680687415703]]], [59, [[1.0, 0.0], [-0.2419218955996682, -0.9702957262759963]]], [61, [[1.0, 0.0], [-0.7193398003386516, -0.6946583704589967]]], [67, [[1.0, 0.0], [0.5299192642332043, -0.8480480961564263]]], [71, [[1.0, 0.0], [0.882947592858927, 0.46947156278589064]]], [73, [[1.0, 0.0], [-0.8290375725550416, -0.5591929034707467]]], [79, [[1.0, 0.0], [0.03489949670250102, 0.9993908270190957]]], [83, [[1.0, 0.0], [-0.7431448254773946, -0.6691306063588578]]], [89, [[1.0, 0.0], [0.9612616959383187, -0.27563735581699955]]], [97, [[1.0, 0.0], [-0.5299192642332049, -0.848048096156426]]], [101, [[1.0, 0.0], [-0.9396926207859085, -0.34202014332566816]]]]}