# Euler Factors of 1-61-61.31-r1-0-0 downloaded from the LMFDB on 02 June 2024. {"bad_lfactors": [[61, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.9945218953682733, -0.10452846326765378]]], [3, [[1.0, 0.0], [0.809016994374947, -0.5877852522924735]]], [5, [[1.0, 0.0], [-0.6691306063588582, -0.7431448254773941]]], [7, [[1.0, 0.0], [0.4067366430758002, 0.9135454576426009]]], [11, [[1.0, 0.0], [0.0, -1.0]]], [13, [[1.0, 0.0], [-0.5, 0.8660254037844387]]], [17, [[1.0, 0.0], [0.20791169081775943, 0.9781476007338056]]], [19, [[1.0, 0.0], [-0.9135454576426009, -0.40673664307580004]]], [23, [[1.0, 0.0], [0.9510565162951535, 0.30901699437494734]]], [29, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [31, [[1.0, 0.0], [0.9945218953682733, 0.10452846326765346]]], [37, [[1.0, 0.0], [-0.5877852522924729, 0.8090169943749476]]], [41, [[1.0, 0.0], [0.8090169943749475, 0.5877852522924729]]], [43, [[1.0, 0.0], [-0.20791169081775926, 0.9781476007338056]]], [47, [[1.0, 0.0], [-0.5, -0.8660254037844385]]], [53, [[1.0, 0.0], [-0.9510565162951534, 0.3090169943749477]]], [59, [[1.0, 0.0], [-0.9945218953682733, 0.10452846326765378]]], [61, [[1.0, 0.0]]], [67, [[1.0, 0.0], [0.7431448254773941, -0.6691306063588582]]], [71, [[1.0, 0.0], [-0.7431448254773946, -0.6691306063588578]]], [73, [[1.0, 0.0], [0.6691306063588578, -0.7431448254773946]]], [79, [[1.0, 0.0], [0.20791169081775926, -0.9781476007338056]]], [83, [[1.0, 0.0], [-0.10452846326765378, -0.9945218953682733]]], [89, [[1.0, 0.0], [0.587785252292473, 0.8090169943749473]]], [97, [[1.0, 0.0], [0.10452846326765308, -0.9945218953682733]]], [101, [[1.0, 0.0], [-0.8660254037844388, -0.5]]]]}