# Euler Factors of 1-712-712.221-r1-0-0 downloaded from the LMFDB on 19 April 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], [0.4792489867200564, -0.8776789895672558]]], [5, [[1.0, 0.0], [-0.9096319953545184, -0.415415013001886]]], [7, [[1.0, 0.0], [-0.34946417959909865, -0.9369497249997616]]], [11, [[1.0, 0.0], [0.41541501300188727, 0.9096319953545179]]], [13, [[1.0, 0.0], [0.8776789895672561, 0.4792489867200558]]], [17, [[1.0, 0.0], [0.9898214418809326, -0.14231483827328567]]], [19, [[1.0, 0.0], [0.9771468659711596, 0.21256528955297577]]], [23, [[1.0, 0.0], [0.21256528955297646, -0.9771468659711595]]], [29, [[1.0, 0.0], [0.9369497249997616, -0.34946417959909865]]], [31, [[1.0, 0.0], [0.2125652895529768, 0.9771468659711594]]], [37, [[1.0, 0.0], [0.7071067811865475, 0.7071067811865475]]], [41, [[1.0, 0.0], [0.8776789895672554, -0.479248986720057]]], [43, [[1.0, 0.0], [0.936949724999762, 0.3494641795990973]]], [47, [[1.0, 0.0], [0.2817325568414294, -0.9594929736144974]]], [53, [[1.0, 0.0], [0.2817325568414307, 0.959492973614497]]], [59, [[1.0, 0.0], [-0.479248986720057, -0.8776789895672554]]], [61, [[1.0, 0.0], [0.07133918319923295, 0.9974521146102534]]], [67, [[1.0, 0.0], [0.9594929736144973, -0.28173255684143006]]], [71, [[1.0, 0.0], [-0.9096319953545182, 0.41541501300188666]]], [73, [[1.0, 0.0], [-0.8412535328311814, -0.540640817455597]]], [79, [[1.0, 0.0], [0.540640817455597, -0.8412535328311814]]], [83, [[1.0, 0.0], [-0.8005412409243607, -0.5992776665113464]]], [89, [[1.0, 0.0]]], [97, [[1.0, 0.0], [0.415415013001886, -0.9096319953545184]]], [101, [[1.0, 0.0], [-0.7071067811865475, 0.7071067811865475]]]]}