# Euler Factors of 1-1045-1045.478-r0-0-0 downloaded from the LMFDB on 29 April 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], [0.6946583704589967, -0.7193398003386516]]], [3, [[1.0, 0.0], [0.5299192642332043, -0.8480480961564263]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [0.7431448254773941, -0.6691306063588582]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0], [-0.06975647374412504, 0.9975640502598242]]], [17, [[1.0, 0.0], [-0.898794046299167, -0.4383711467890771]]], [19, [[1.0, 0.0]]], [23, [[1.0, 0.0], [-0.34202014332566877, -0.9396926207859083]]], [29, [[1.0, 0.0], [-0.8829475928589271, -0.4694715627858904]]], [31, [[1.0, 0.0], [0.10452846326765361, 0.9945218953682733]]], [37, [[1.0, 0.0], [0.9510565162951535, 0.30901699437494734]]], [41, [[1.0, 0.0], [-0.8480480961564263, -0.5299192642332043]]], [43, [[1.0, 0.0], [0.34202014332566816, -0.9396926207859085]]], [47, [[1.0, 0.0], [-0.13917310096006563, -0.9902680687415703]]], [53, [[1.0, 0.0], [-0.8290375725550416, -0.5591929034707467]]], [59, [[1.0, 0.0], [0.9902680687415703, 0.1391731009600654]]], [61, [[1.0, 0.0], [0.9612616959383188, 0.2756373558169991]]], [67, [[1.0, 0.0], [0.984807753012208, 0.1736481776669303]]], [71, [[1.0, 0.0], [-0.5591929034707472, -0.8290375725550413]]], [73, [[1.0, 0.0], [0.9271838545667873, -0.37460659341591196]]], [79, [[1.0, 0.0], [-0.24192189559966754, 0.9702957262759965]]], [83, [[1.0, 0.0], [0.4067366430758002, 0.9135454576426009]]], [89, [[1.0, 0.0], [0.7660444431189781, 0.6427876096865391]]], [97, [[1.0, 0.0], [0.6946583704589967, -0.7193398003386516]]], [101, [[1.0, 0.0], [-0.9975640502598242, -0.06975647374412504]]]]}