# Euler Factors of 1-1309-1309.41-r1-0-0 downloaded from the LMFDB on 15 January 2025.
{"bad_lfactors": [[7, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [17, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.8910065241883677, -0.4539904997395471]]], [3, [[1.0, 0.0], [-0.8526401643540925, -0.5224985647159482]]], [5, [[1.0, 0.0], [0.6494480483301835, 0.7604059656000309]]], [7, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0], [-0.9510565162951536, -0.30901699437494695]]], [17, [[1.0, 0.0]]], [19, [[1.0, 0.0], [0.9876883405951377, 0.1564344650402308]]], [23, [[1.0, 0.0], [-0.3826834323650897, 0.9238795325112867]]], [29, [[1.0, 0.0], [0.9723699203976766, 0.23344536385590536]]], [31, [[1.0, 0.0], [-0.996917333733128, 0.078459095727845]]], [37, [[1.0, 0.0], [-0.23344536385590522, 0.9723699203976766]]], [41, [[1.0, 0.0], [0.9723699203976764, -0.23344536385590592]]], [43, [[1.0, 0.0], [0.7071067811865475, -0.7071067811865475]]], [47, [[1.0, 0.0], [-0.5877852522924735, -0.809016994374947]]], [53, [[1.0, 0.0], [-0.8910065241883678, 0.4539904997395468]]], [59, [[1.0, 0.0], [0.9876883405951377, -0.15643446504023098]]], [61, [[1.0, 0.0], [-0.07845909572784464, 0.996917333733128]]], [67, [[1.0, 0.0], [-1.0, 0.0]]], [71, [[1.0, 0.0], [0.7604059656000307, -0.6494480483301838]]], [73, [[1.0, 0.0], [0.9723699203976766, 0.23344536385590536]]], [79, [[1.0, 0.0], [0.7604059656000309, 0.6494480483301835]]], [83, [[1.0, 0.0], [-0.45399049973954647, 0.891006524188368]]], [89, [[1.0, 0.0], [0.0, -1.0]]], [97, [[1.0, 0.0], [0.078459095727845, 0.996917333733128]]], [101, [[1.0, 0.0], [-0.3090169943749473, 0.9510565162951535]]]]}