# Euler Factors of 1-1045-1045.348-r0-0-0 downloaded from the LMFDB on 17 August 2026. {"bad_lfactors": [[5, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [19, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.13917310096006544, 0.9902680687415703]]], [3, [[1.0, 0.0], [0.9702957262759963, -0.2419218955996682]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [-0.40673664307580004, 0.9135454576426009]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0], [0.5299192642332043, -0.8480480961564263]]], [17, [[1.0, 0.0], [0.4694715627858904, -0.8829475928589271]]], [19, [[1.0, 0.0]]], [23, [[1.0, 0.0], [0.34202014332566816, -0.9396926207859085]]], [29, [[1.0, 0.0], [-0.7193398003386516, -0.6946583704589967]]], [31, [[1.0, 0.0], [0.6691306063588578, -0.7431448254773946]]], [37, [[1.0, 0.0], [0.587785252292473, 0.8090169943749473]]], [41, [[1.0, 0.0], [0.24192189559966767, 0.9702957262759965]]], [43, [[1.0, 0.0], [0.34202014332566877, 0.9396926207859083]]], [47, [[1.0, 0.0], [-0.898794046299167, -0.4383711467890771]]], [53, [[1.0, 0.0], [0.9993908270190957, 0.03489949670250096]]], [59, [[1.0, 0.0], [-0.4383711467890778, -0.8987940462991667]]], [61, [[1.0, 0.0], [0.615661475325658, -0.7880107536067221]]], [67, [[1.0, 0.0], [0.984807753012208, -0.1736481776669304]]], [71, [[1.0, 0.0], [0.03489949670250102, 0.9993908270190957]]], [73, [[1.0, 0.0], [-0.06975647374412504, 0.9975640502598242]]], [79, [[1.0, 0.0], [-0.3746065934159117, 0.9271838545667875]]], [83, [[1.0, 0.0], [0.20791169081775943, 0.9781476007338056]]], [89, [[1.0, 0.0], [-0.7660444431189779, 0.6427876096865394]]], [97, [[1.0, 0.0], [-0.13917310096006563, -0.9902680687415703]]], [101, [[1.0, 0.0], [-0.8480480961564263, -0.5299192642332043]]]]}