# Euler Factors of 1-500-500.119-r1-0-0 downloaded from the LMFDB on 02 March 2026.
{"bad_lfactors": [[2, [[1.0, 0.0]]], [5, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [-0.9297764858882515, -0.36812455268467753]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]], [11, [[1.0, 0.0], [-0.8763066800438637, -0.481753674101715]]], [13, [[1.0, 0.0], [-0.7289686274214116, -0.6845471059286886]]], [17, [[1.0, 0.0], [-0.5358267949789963, 0.8443279255020152]]], [19, [[1.0, 0.0], [0.9297764858882512, -0.3681245526846782]]], [23, [[1.0, 0.0], [-0.9921147013144778, 0.1253332335643043]]], [29, [[1.0, 0.0], [0.968583161128631, -0.24868988716485496]]], [31, [[1.0, 0.0], [-0.5358267949789958, 0.8443279255020155]]], [37, [[1.0, 0.0], [0.4257792915650723, -0.9048270524660196]]], [41, [[1.0, 0.0], [-0.9921147013144779, -0.12533323356430362]]], [43, [[1.0, 0.0], [-0.8090169943749476, -0.5877852522924729]]], [47, [[1.0, 0.0], [0.06279051952931272, -0.9980267284282716]]], [53, [[1.0, 0.0], [0.6374239897486895, -0.7705132427757893]]], [59, [[1.0, 0.0], [0.18738131458572477, 0.9822872507286886]]], [61, [[1.0, 0.0], [-0.9921147013144778, 0.1253332335643043]]], [67, [[1.0, 0.0], [0.9685831611286314, 0.2486898871648536]]], [71, [[1.0, 0.0], [-0.06279051952931203, 0.9980267284282716]]], [73, [[1.0, 0.0], [0.18738131458572407, -0.9822872507286887]]], [79, [[1.0, 0.0], [0.9297764858882518, 0.3681245526846769]]], [83, [[1.0, 0.0], [-0.9297764858882512, 0.3681245526846782]]], [89, [[1.0, 0.0], [-0.1873813145857244, 0.9822872507286886]]], [97, [[1.0, 0.0], [-0.968583161128631, 0.24868988716485496]]], [101, [[1.0, 0.0], [0.30901699437494695, -0.9510565162951536]]]]}