# Euler Factors of 1-712-712.197-r1-0-0 downloaded from the LMFDB on 23 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], [0.8005412409243603, -0.599277666511347]]], [5, [[1.0, 0.0], [-0.540640817455597, 0.8412535328311814]]], [7, [[1.0, 0.0], [0.2125652895529768, 0.9771468659711594]]], [11, [[1.0, 0.0], [0.8412535328311811, -0.5406408174555976]]], [13, [[1.0, 0.0], [-0.599277666511347, -0.8005412409243603]]], [17, [[1.0, 0.0], [-0.7557495743542583, 0.654860733945285]]], [19, [[1.0, 0.0], [-0.8776789895672554, 0.479248986720057]]], [23, [[1.0, 0.0], [-0.479248986720057, -0.8776789895672554]]], [29, [[1.0, 0.0], [0.9771468659711594, -0.21256528955297713]]], [31, [[1.0, 0.0], [-0.47924898672005667, 0.8776789895672557]]], [37, [[1.0, 0.0], [0.7071067811865475, -0.7071067811865475]]], [41, [[1.0, 0.0], [-0.5992776665113466, 0.8005412409243605]]], [43, [[1.0, 0.0], [0.9771468659711596, 0.21256528955297577]]], [47, [[1.0, 0.0], [-0.9898214418809327, 0.1423148382732853]]], [53, [[1.0, 0.0], [-0.9898214418809327, -0.14231483827328498]]], [59, [[1.0, 0.0], [-0.8005412409243607, -0.5992776665113464]]], [61, [[1.0, 0.0], [0.9369497249997616, -0.34946417959909865]]], [67, [[1.0, 0.0], [0.14231483827328498, -0.9898214418809327]]], [71, [[1.0, 0.0], [-0.5406408174555976, -0.8412535328311811]]], [73, [[1.0, 0.0], [0.9594929736144973, -0.28173255684143006]]], [79, [[1.0, 0.0], [-0.28173255684143006, -0.9594929736144973]]], [83, [[1.0, 0.0], [0.07133918319923226, -0.9974521146102535]]], [89, [[1.0, 0.0]]], [97, [[1.0, 0.0], [0.8412535328311812, 0.5406408174555974]]], [101, [[1.0, 0.0], [-0.7071067811865475, -0.7071067811865475]]]]}