# Euler Factors of 1-47e2-2209.31-r1-0-0 downloaded from the LMFDB on 01 August 2026. {"bad_lfactors": [[47, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [-0.8110619300975103, -0.5849602939913966]]], [3, [[1.0, 0.0], [-0.846779415628863, 0.5319441899929362]]], [5, [[1.0, 0.0], [0.7014330435578268, -0.7127353543954472]]], [7, [[1.0, 0.0], [0.9999324331840108, 0.011624502858341627]]], [11, [[1.0, 0.0], [0.16059515991648224, -0.9870203618018218]]], [13, [[1.0, 0.0], [0.9737599882374383, 0.22757742706126208]]], [17, [[1.0, 0.0], [-0.9981382466367644, 0.06099213556587001]]], [19, [[1.0, 0.0], [-0.04212730136688472, -0.9991122511907976]]], [23, [[1.0, 0.0], [0.837375566511608, 0.546627991059151]]], [29, [[1.0, 0.0], [-0.9089172643729727, 0.41697650596256797]]], [31, [[1.0, 0.0], [-0.9848357765540328, 0.17348917320459822]]], [37, [[1.0, 0.0], [-0.26279365754236844, 0.9648520578593924]]], [41, [[1.0, 0.0], [0.9652329033924042, 0.26139135832821575]]], [43, [[1.0, 0.0], [0.9997930814320751, -0.020341935024866545]]], [47, [[1.0, 0.0]]], [53, [[1.0, 0.0], [-0.9906859460363306, 0.13616664909624682]]], [59, [[1.0, 0.0], [0.5551170737515527, -0.8317722250890042]]], [61, [[1.0, 0.0], [-0.9948313160911022, -0.10154138330968986]]], [67, [[1.0, 0.0], [-0.8544194045464883, 0.5195839500354338]]], [71, [[1.0, 0.0], [0.4600650377311515, -0.8878852184023756]]], [73, [[1.0, 0.0], [-0.6344634851770947, 0.7729528355449214]]], [79, [[1.0, 0.0], [0.24874618450132327, 0.9685687046854413]]], [83, [[1.0, 0.0], [0.09431084190704841, -0.99554279923004]]], [89, [[1.0, 0.0], [-0.5861382265181373, -0.8102110709032385]]], [97, [[1.0, 0.0], [-0.20630055538776085, 0.9784886718029501]]], [101, [[1.0, 0.0], [-0.5282477930336709, -0.8490902597221663]]]]}