# Euler Factors of 1-712-712.389-r1-0-0 downloaded from the LMFDB on 17 May 2022. {"bad_lfactors": [[2, [[1.0, 0.0]]], [89, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0]]], [3, [[1.0, 0.0], [-0.9771468659711594, 0.21256528955297713]]], [5, [[1.0, 0.0], [0.7557495743542587, 0.6548607339452844]]], [7, [[1.0, 0.0], [0.07133918319923242, 0.9974521146102535]]], [11, [[1.0, 0.0], [-0.654860733945285, -0.7557495743542583]]], [13, [[1.0, 0.0], [-0.21256528955297713, -0.9771468659711594]]], [17, [[1.0, 0.0], [0.2817325568414294, -0.9594929736144974]]], [19, [[1.0, 0.0], [-0.3494641795990973, 0.936949724999762]]], [23, [[1.0, 0.0], [0.9369497249997617, 0.34946417959909826]]], [29, [[1.0, 0.0], [-0.9974521146102534, 0.07133918319923295]]], [31, [[1.0, 0.0], [0.9369497249997616, -0.34946417959909865]]], [37, [[1.0, 0.0], [0.7071067811865475, 0.7071067811865475]]], [41, [[1.0, 0.0], [-0.21256528955297646, 0.9771468659711595]]], [43, [[1.0, 0.0], [-0.9974521146102535, -0.07133918319923226]]], [47, [[1.0, 0.0], [0.5406408174555976, 0.8412535328311811]]], [53, [[1.0, 0.0], [0.540640817455597, -0.8412535328311814]]], [59, [[1.0, 0.0], [0.9771468659711596, 0.21256528955297577]]], [61, [[1.0, 0.0], [0.599277666511347, 0.8005412409243603]]], [67, [[1.0, 0.0], [-0.8412535328311814, -0.540640817455597]]], [71, [[1.0, 0.0], [0.7557495743542583, -0.654860733945285]]], [73, [[1.0, 0.0], [-0.4154150130018863, 0.9096319953545183]]], [79, [[1.0, 0.0], [-0.9096319953545184, -0.415415013001886]]], [83, [[1.0, 0.0], [-0.8776789895672554, 0.479248986720057]]], [89, [[1.0, 0.0]]], [97, [[1.0, 0.0], [-0.6548607339452848, 0.7557495743542585]]], [101, [[1.0, 0.0], [-0.7071067811865475, 0.7071067811865475]]]]}