# Euler Factors of 1-4033-4033.1175-r1-0-0 downloaded from the LMFDB on 06 June 2024. {"bad_lfactors": [[37, [[1.0, 0.0]]], [109, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.6427876096865394, 0.7660444431189779]]], [3, [[1.0, 0.0], [0.8936326403234119, -0.44879918020046267]]], [5, [[1.0, 0.0], [-0.5971585917027861, -0.8021231927550437]]], [7, [[1.0, 0.0], [0.39607976603915646, -0.9182161068802741]]], [11, [[1.0, 0.0], [0.2306158707424403, 0.9730448705798238]]], [13, [[1.0, 0.0], [0.11609291412523037, 0.9932383577419429]]], [17, [[1.0, 0.0], [0.6427876096865394, 0.7660444431189779]]], [19, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [23, [[1.0, 0.0], [0.34202014332566816, -0.9396926207859085]]], [29, [[1.0, 0.0], [0.9730448705798238, 0.23061587074244014]]], [31, [[1.0, 0.0], [-0.8354878114129364, 0.549508978070806]]], [37, [[1.0, 0.0]]], [41, [[1.0, 0.0], [-0.3420201433256685, 0.9396926207859084]]], [43, [[1.0, 0.0], [-0.9396926207859083, 0.34202014332566877]]], [47, [[1.0, 0.0], [-0.11609291412523003, 0.9932383577419429]]], [53, [[1.0, 0.0], [-0.9579895123154888, 0.28680323271109043]]], [59, [[1.0, 0.0], [0.4487991802004621, -0.8936326403234123]]], [61, [[1.0, 0.0], [0.9730448705798238, 0.23061587074244014]]], [67, [[1.0, 0.0], [0.7273736415730483, -0.6862416378687339]]], [71, [[1.0, 0.0], [-0.7660444431189782, -0.6427876096865389]]], [73, [[1.0, 0.0], [-0.6862416378687339, -0.7273736415730483]]], [79, [[1.0, 0.0], [-0.23061587074244047, -0.9730448705798237]]], [83, [[1.0, 0.0], [-0.5971585917027861, -0.8021231927550437]]], [89, [[1.0, 0.0], [0.8354878114129365, 0.5495089780708059]]], [97, [[1.0, 0.0], [-0.893632640323412, 0.4487991802004624]]], [101, [[1.0, 0.0], [0.0, -1.0]]]]}