# Euler Factors of 1-1045-1045.669-r0-0-0 downloaded from the LMFDB on 16 December 2025.
{"bad_lfactors": [[5, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [19, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [0.24192189559966767, 0.9702957262759965]]], [3, [[1.0, 0.0], [-0.03489949670250154, -0.9993908270190957]]], [5, [[1.0, 0.0]]], [7, [[1.0, 0.0], [-0.669130606358858, 0.7431448254773944]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0], [-0.5591929034707472, -0.8290375725550413]]], [17, [[1.0, 0.0], [0.9975640502598242, 0.06975647374412527]]], [19, [[1.0, 0.0]]], [23, [[1.0, 0.0], [-0.1736481776669304, -0.984807753012208]]], [29, [[1.0, 0.0], [0.848048096156426, 0.5299192642332048]]], [31, [[1.0, 0.0], [-0.10452846326765343, 0.9945218953682733]]], [37, [[1.0, 0.0], [-0.3090169943749477, -0.9510565162951534]]], [41, [[1.0, 0.0], [0.03489949670250102, 0.9993908270190957]]], [43, [[1.0, 0.0], [-0.17364817766693005, 0.984807753012208]]], [47, [[1.0, 0.0], [0.37460659341591196, 0.9271838545667873]]], [53, [[1.0, 0.0], [-0.4383711467890771, 0.898794046299167]]], [59, [[1.0, 0.0], [-0.3746065934159117, 0.9271838545667875]]], [61, [[1.0, 0.0], [-0.7193398003386516, -0.6946583704589967]]], [67, [[1.0, 0.0], [-0.7660444431189779, 0.6427876096865394]]], [71, [[1.0, 0.0], [0.43837114678907746, 0.8987940462991669]]], [73, [[1.0, 0.0], [0.6156614753256583, 0.7880107536067219]]], [79, [[1.0, 0.0], [0.9612616959383188, 0.2756373558169991]]], [83, [[1.0, 0.0], [-0.9135454576426009, -0.40673664307580004]]], [89, [[1.0, 0.0], [-0.9396926207859085, -0.34202014332566816]]], [97, [[1.0, 0.0], [0.24192189559966767, 0.9702957262759965]]], [101, [[1.0, 0.0], [0.5591929034707468, 0.8290375725550416]]]]}