# Euler Factors of 1-712-712.243-r0-0-0 downloaded from the LMFDB on 29 March 2024. {"bad_lfactors": [[2, [[1.0, 0.0]]], [89, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [0.9369497249997617, 0.34946417959909826]]], [5, [[1.0, 0.0], [-0.9898214418809325, 0.14231483827328636]]], [7, [[1.0, 0.0], [0.8005412409243612, 0.5992776665113457]]], [11, [[1.0, 0.0], [0.14231483827328498, -0.9898214418809327]]], [13, [[1.0, 0.0], [0.3494641795990979, -0.9369497249997618]]], [17, [[1.0, 0.0], [-0.5406408174555973, 0.8412535328311812]]], [19, [[1.0, 0.0], [0.9974521146102534, -0.07133918319923295]]], [23, [[1.0, 0.0], [-0.07133918319923295, -0.9974521146102534]]], [29, [[1.0, 0.0], [0.5992776665113464, -0.8005412409243607]]], [31, [[1.0, 0.0], [-0.07133918319923158, 0.9974521146102535]]], [37, [[1.0, 0.0], [0.7071067811865475, 0.7071067811865475]]], [41, [[1.0, 0.0], [0.3494641795990983, 0.9369497249997617]]], [43, [[1.0, 0.0], [-0.599277666511347, -0.8005412409243603]]], [47, [[1.0, 0.0], [-0.9096319953545184, -0.415415013001886]]], [53, [[1.0, 0.0], [0.9096319953545182, -0.41541501300188666]]], [59, [[1.0, 0.0], [-0.9369497249997617, 0.3494641795990983]]], [61, [[1.0, 0.0], [-0.8776789895672554, 0.479248986720057]]], [67, [[1.0, 0.0], [0.4154150130018865, 0.9096319953545183]]], [71, [[1.0, 0.0], [0.9898214418809327, 0.14231483827328498]]], [73, [[1.0, 0.0], [0.654860733945285, 0.7557495743542583]]], [79, [[1.0, 0.0], [0.7557495743542583, -0.654860733945285]]], [83, [[1.0, 0.0], [-0.9771468659711594, 0.2125652895529768]]], [89, [[1.0, 0.0]]], [97, [[1.0, 0.0], [-0.14231483827328567, -0.9898214418809326]]], [101, [[1.0, 0.0], [-0.7071067811865475, 0.7071067811865475]]]]}