# Euler Factors of 1-712-712.27-r0-0-0 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], [0.9771468659711595, 0.21256528955297663]]], [5, [[1.0, 0.0], [0.7557495743542583, -0.654860733945285]]], [7, [[1.0, 0.0], [-0.07133918319923158, 0.9974521146102535]]], [11, [[1.0, 0.0], [0.6548607339452844, -0.7557495743542587]]], [13, [[1.0, 0.0], [-0.21256528955297577, 0.9771468659711596]]], [17, [[1.0, 0.0], [0.2817325568414297, 0.9594929736144974]]], [19, [[1.0, 0.0], [0.3494641795990983, 0.9369497249997617]]], [23, [[1.0, 0.0], [-0.9369497249997616, 0.34946417959909865]]], [29, [[1.0, 0.0], [-0.9974521146102535, -0.07133918319923226]]], [31, [[1.0, 0.0], [-0.9369497249997618, -0.3494641795990979]]], [37, [[1.0, 0.0], [0.7071067811865475, -0.7071067811865475]]], [41, [[1.0, 0.0], [-0.21256528955297713, -0.9771468659711594]]], [43, [[1.0, 0.0], [0.9974521146102534, -0.07133918319923295]]], [47, [[1.0, 0.0], [-0.540640817455597, 0.8412535328311814]]], [53, [[1.0, 0.0], [0.5406408174555982, 0.8412535328311807]]], [59, [[1.0, 0.0], [-0.9771468659711594, 0.2125652895529768]]], [61, [[1.0, 0.0], [0.5992776665113464, -0.8005412409243607]]], [67, [[1.0, 0.0], [0.8412535328311811, -0.5406408174555976]]], [71, [[1.0, 0.0], [-0.7557495743542587, -0.6548607339452844]]], [73, [[1.0, 0.0], [-0.41541501300188666, -0.9096319953545182]]], [79, [[1.0, 0.0], [0.9096319953545182, -0.41541501300188666]]], [83, [[1.0, 0.0], [0.8776789895672557, 0.4792489867200567]]], [89, [[1.0, 0.0]]], [97, [[1.0, 0.0], [-0.654860733945285, -0.7557495743542583]]], [101, [[1.0, 0.0], [-0.7071067811865475, -0.7071067811865475]]]]}