# Euler Factors of 1-5200-5200.4221-r0-0-0 downloaded from the LMFDB on 29 June 2026. {"bad_lfactors": [[2, [[1.0, 0.0]]], [5, [[1.0, 0.0]]], [13, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [0.743144825477395, 0.6691306063588571]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [11, [[1.0, 0.0], [0.9945218953682733, 0.10452846326765308]]], [13, [[1.0, 0.0]]], [17, [[1.0, 0.0], [0.6691306063588581, 0.7431448254773942]]], [19, [[1.0, 0.0], [-0.7431448254773941, 0.6691306063588582]]], [23, [[1.0, 0.0], [0.10452846326765308, -0.9945218953682733]]], [29, [[1.0, 0.0], [0.743144825477395, 0.6691306063588571]]], [31, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]], [37, [[1.0, 0.0], [0.40673664307580004, -0.9135454576426009]]], [41, [[1.0, 0.0], [-0.9135454576426009, -0.40673664307580004]]], [43, [[1.0, 0.0], [0.8660254037844388, 0.5]]], [47, [[1.0, 0.0], [0.30901699437494745, 0.9510565162951535]]], [53, [[1.0, 0.0], [0.9510565162951534, -0.3090169943749477]]], [59, [[1.0, 0.0], [-0.9945218953682732, 0.10452846326765448]]], [61, [[1.0, 0.0], [0.4067366430758013, 0.9135454576426003]]], [67, [[1.0, 0.0], [-0.20791169081775993, -0.9781476007338055]]], [71, [[1.0, 0.0], [0.9781476007338057, 0.20791169081775857]]], [73, [[1.0, 0.0], [0.8090169943749479, 0.5877852522924724]]], [79, [[1.0, 0.0], [0.30901699437494745, 0.9510565162951535]]], [83, [[1.0, 0.0], [0.9510565162951539, 0.3090169943749463]]], [89, [[1.0, 0.0], [0.10452846326765308, -0.9945218953682733]]], [97, [[1.0, 0.0], [-0.9781476007338056, -0.20791169081775926]]], [101, [[1.0, 0.0], [-0.8660254037844382, 0.5]]]]}