# Euler Factors of 1-5200-5200.1571-r0-0-0 downloaded from the LMFDB on 20 September 2025. {"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], [-0.20791169081775857, 0.9781476007338057]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [11, [[1.0, 0.0], [0.9135454576426006, -0.4067366430758007]]], [13, [[1.0, 0.0]]], [17, [[1.0, 0.0], [0.9781476007338055, -0.20791169081775993]]], [19, [[1.0, 0.0], [-0.9781476007338055, 0.20791169081775993]]], [23, [[1.0, 0.0], [-0.9135454576426008, 0.4067366430758004]]], [29, [[1.0, 0.0], [0.20791169081775926, -0.9781476007338056]]], [31, [[1.0, 0.0], [-0.9510565162951536, -0.30901699437494695]]], [37, [[1.0, 0.0], [0.10452846326765448, 0.9945218953682732]]], [41, [[1.0, 0.0], [-0.9945218953682732, 0.10452846326765448]]], [43, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [47, [[1.0, 0.0], [-0.9510565162951534, 0.3090169943749477]]], [53, [[1.0, 0.0], [0.9510565162951534, -0.3090169943749477]]], [59, [[1.0, 0.0], [0.9135454576426009, 0.40673664307580004]]], [61, [[1.0, 0.0], [-0.9945218953682733, -0.10452846326765308]]], [67, [[1.0, 0.0], [0.6691306063588582, 0.7431448254773941]]], [71, [[1.0, 0.0], [0.7431448254773944, 0.669130606358858]]], [73, [[1.0, 0.0], [0.5877852522924729, -0.8090169943749476]]], [79, [[1.0, 0.0], [-0.3090169943749477, -0.9510565162951534]]], [83, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]], [89, [[1.0, 0.0], [0.4067366430758013, 0.9135454576426003]]], [97, [[1.0, 0.0], [0.7431448254773944, 0.669130606358858]]], [101, [[1.0, 0.0], [-0.8660254037844388, -0.5]]]]}