# Euler Factors of 1-5e3-125.53-r1-0-0 downloaded from the LMFDB on 27 February 2026.
{"bad_lfactors": [[5, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [-0.48175367410171555, -0.8763066800438634]]], [3, [[1.0, 0.0], [-0.3681245526846782, -0.9297764858882512]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [0.9510565162951534, -0.3090169943749477]]], [11, [[1.0, 0.0], [0.8763066800438634, -0.48175367410171555]]], [13, [[1.0, 0.0], [0.6845471059286886, 0.7289686274214114]]], [17, [[1.0, 0.0], [0.8443279255020147, -0.535826794978997]]], [19, [[1.0, 0.0], [0.9297764858882513, 0.3681245526846779]]], [23, [[1.0, 0.0], [0.12533323356430362, -0.9921147013144779]]], [29, [[1.0, 0.0], [-0.9685831611286312, -0.2486898871648543]]], [31, [[1.0, 0.0], [0.5358267949789967, 0.844327925502015]]], [37, [[1.0, 0.0], [-0.9048270524660195, 0.4257792915650726]]], [41, [[1.0, 0.0], [-0.9921147013144778, 0.1253332335643043]]], [43, [[1.0, 0.0], [-0.5877852522924735, -0.809016994374947]]], [47, [[1.0, 0.0], [0.9980267284282716, -0.06279051952931342]]], [53, [[1.0, 0.0], [0.7705132427757888, -0.6374239897486901]]], [59, [[1.0, 0.0], [0.18738131458572407, -0.9822872507286887]]], [61, [[1.0, 0.0], [-0.9921147013144779, -0.12533323356430362]]], [67, [[1.0, 0.0], [-0.24868988716485496, -0.968583161128631]]], [71, [[1.0, 0.0], [0.06279051952931342, 0.9980267284282716]]], [73, [[1.0, 0.0], [0.9822872507286886, -0.18738131458572477]]], [79, [[1.0, 0.0], [0.9297764858882512, -0.3681245526846782]]], [83, [[1.0, 0.0], [0.36812455268467753, -0.9297764858882515]]], [89, [[1.0, 0.0], [0.18738131458572477, 0.9822872507286886]]], [97, [[1.0, 0.0], [0.2486898871648543, -0.9685831611286312]]], [101, [[1.0, 0.0], [0.30901699437494745, 0.9510565162951535]]]]}