# Euler Factors of 1-7e3-343.45-r1-0-0 downloaded from the LMFDB on 25 January 2026. {"bad_lfactors": [[7, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [-0.9616534368410361, 0.27426751067493066]]], [3, [[1.0, 0.0], [0.7884491381006478, 0.6150999566154638]]], [5, [[1.0, 0.0], [0.934724450106831, 0.3553733281669887]]], [7, [[1.0, 0.0]]], [11, [[1.0, 0.0], [0.9100351111642664, -0.41453117669029577]]], [13, [[1.0, 0.0], [0.9490557470106686, 0.3151082180236206]]], [17, [[1.0, 0.0], [-0.6563278071035185, -0.7544758509208142]]], [19, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [23, [[1.0, 0.0], [-0.2639761180675097, 0.9645292162967424]]], [29, [[1.0, 0.0], [0.9672948630390293, 0.2536545839095073]]], [31, [[1.0, 0.0], [0.9888308262251285, 0.14904226617617441]]], [37, [[1.0, 0.0], [0.32523134988754643, -0.9456344796221869]]], [41, [[1.0, 0.0], [-0.2845275866310324, 0.9586678530366606]]], [43, [[1.0, 0.0], [-0.672300890261317, -0.7402779970753153]]], [47, [[1.0, 0.0], [-0.48137907246978306, -0.8765125147926476]]], [53, [[1.0, 0.0], [0.9421052369755334, 0.3353173459027642]]], [59, [[1.0, 0.0], [-0.6879669212057185, 0.7257420446182822]]], [61, [[1.0, 0.0], [-0.11727210274240223, -0.9930998207221544]]], [67, [[1.0, 0.0], [0.3653410243663943, -0.9308737486442045]]], [71, [[1.0, 0.0], [0.9672948630390293, -0.2536545839095076]]], [73, [[1.0, 0.0], [-0.4813790724697827, 0.8765125147926478]]], [79, [[1.0, 0.0], [0.8262387743159945, -0.5633200580636224]]], [83, [[1.0, 0.0], [-0.9917900138232462, -0.12787716168450544]]], [89, [[1.0, 0.0], [0.6400549669339348, 0.7683291217331277]]], [97, [[1.0, 0.0], [-0.6234898018587332, 0.78183148246803]]], [101, [[1.0, 0.0], [0.4242316778990367, -0.9055536888925846]]]]}