# Euler Factors of 1-1001-1001.223-r0-0-0 downloaded from the LMFDB on 16 October 2025. {"bad_lfactors": [[7, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.7431448254773941, -0.6691306063588582]]], [3, [[1.0, 0.0], [0.10452846326765361, 0.9945218953682733]]], [5, [[1.0, 0.0], [-0.9510565162951534, 0.3090169943749477]]], [7, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0]]], [17, [[1.0, 0.0], [0.6691306063588578, -0.7431448254773946]]], [19, [[1.0, 0.0], [-0.40673664307580004, 0.9135454576426009]]], [23, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [29, [[1.0, 0.0], [0.9135454576426006, -0.4067366430758007]]], [31, [[1.0, 0.0], [0.9510565162951535, 0.30901699437494734]]], [37, [[1.0, 0.0], [0.4067366430758002, 0.9135454576426009]]], [41, [[1.0, 0.0], [0.9945218953682733, -0.10452846326765378]]], [43, [[1.0, 0.0], [0.5, 0.8660254037844386]]], [47, [[1.0, 0.0], [0.587785252292473, 0.8090169943749473]]], [53, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]], [59, [[1.0, 0.0], [0.9945218953682733, 0.10452846326765346]]], [61, [[1.0, 0.0], [-0.669130606358858, 0.7431448254773944]]], [67, [[1.0, 0.0], [0.8660254037844386, 0.5]]], [71, [[1.0, 0.0], [-0.7431448254773946, -0.6691306063588578]]], [73, [[1.0, 0.0], [-0.5877852522924729, 0.8090169943749476]]], [79, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]], [83, [[1.0, 0.0], [-0.9510565162951534, 0.3090169943749477]]], [89, [[1.0, 0.0], [0.8660254037844386, 0.5]]], [97, [[1.0, 0.0], [-0.20791169081775993, -0.9781476007338055]]], [101, [[1.0, 0.0], [0.6691306063588581, 0.7431448254773942]]]]}