# Euler Factors of 1-417-417.50-r0-0-0 downloaded from the LMFDB on 21 November 2025. {"bad_lfactors": [[3, [[1.0, 0.0]]], [139, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.022763197856105085, -0.9997408848413492]]], [3, [[1.0, 0.0]]], [5, [[1.0, 0.0], [-0.3774191957526144, 0.9260425209878052]]], [7, [[1.0, 0.0], [-0.41917652041666453, -0.9079047553192887]]], [11, [[1.0, 0.0], [0.1586825464562506, -0.9873296559154697]]], [13, [[1.0, 0.0], [0.11358018605047497, 0.9935288326650311]]], [17, [[1.0, 0.0], [-0.6485820894627561, -0.7611447124089645]]], [19, [[1.0, 0.0], [-0.983461701633742, 0.18111620970985584]]], [23, [[1.0, 0.0], [-0.576680322114867, 0.8169698930104421]]], [29, [[1.0, 0.0], [-0.5388986359155751, 0.8423706192694118]]], [31, [[1.0, 0.0], [0.291645939454825, 0.9565263435993346]]], [37, [[1.0, 0.0], [-0.2478077859928996, 0.9688092181649064]]], [41, [[1.0, 0.0], [-0.7461836858476857, -0.6657401196974403]]], [43, [[1.0, 0.0], [0.5, 0.8660254037844386]]], [47, [[1.0, 0.0], [-0.613266750283716, 0.7898758718915588]]], [53, [[1.0, 0.0], [-0.8771826024025942, 0.4801569348059156]]], [59, [[1.0, 0.0], [0.4600650377311515, -0.8878852184023756]]], [61, [[1.0, 0.0], [-0.7461836858476855, 0.6657401196974405]]], [67, [[1.0, 0.0], [0.934393837160671, 0.35624171158941675]]], [71, [[1.0, 0.0], [-0.6132667502837164, -0.7898758718915585]]], [73, [[1.0, 0.0], [-0.8981277053636959, 0.43973472100590605]]], [79, [[1.0, 0.0], [0.2034560130526338, 0.9790840876823228]]], [83, [[1.0, 0.0], [-0.9343938371606709, 0.356241711589417]]], [89, [[1.0, 0.0], [0.7151095013548989, -0.6990124470078825]]], [97, [[1.0, 0.0], [0.5, -0.8660254037844388]]], [101, [[1.0, 0.0], [-0.15868254645625127, -0.9873296559154696]]]]}