# Euler Factors of 1-1309-1309.1165-r0-0-0 downloaded from the LMFDB on 14 February 2025. {"bad_lfactors": [[7, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [17, [[1.0, 0.0]]]], "first_lfactors": [[2, [[1.0, 0.0], [-0.8660254037844388, -0.5]]], [3, [[1.0, 0.0], [-0.2588190451025205, 0.9659258262890683]]], [5, [[1.0, 0.0], [-0.9659258262890682, 0.2588190451025208]]], [7, [[1.0, 0.0]]], [11, [[1.0, 0.0]]], [13, [[1.0, 0.0], [-1.0, 0.0]]], [17, [[1.0, 0.0]]], [19, [[1.0, 0.0], [0.8660254037844386, 0.5]]], [23, [[1.0, 0.0], [0.2588190451025208, 0.9659258262890682]]], [29, [[1.0, 0.0], [0.7071067811865475, 0.7071067811865475]]], [31, [[1.0, 0.0], [-0.2588190451025205, 0.9659258262890683]]], [37, [[1.0, 0.0], [-0.9659258262890682, 0.2588190451025208]]], [41, [[1.0, 0.0], [-0.7071067811865475, 0.7071067811865475]]], [43, [[1.0, 0.0], [0.0, -1.0]]], [47, [[1.0, 0.0], [-0.5, 0.8660254037844387]]], [53, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [59, [[1.0, 0.0], [-0.8660254037844385, 0.5]]], [61, [[1.0, 0.0], [-0.25881904510252113, -0.9659258262890681]]], [67, [[1.0, 0.0], [-0.5, -0.8660254037844385]]], [71, [[1.0, 0.0], [0.7071067811865475, 0.7071067811865475]]], [73, [[1.0, 0.0], [-0.2588190451025205, 0.9659258262890683]]], [79, [[1.0, 0.0], [-0.25881904510252113, -0.9659258262890681]]], [83, [[1.0, 0.0], [0.0, -1.0]]], [89, [[1.0, 0.0], [-0.5, 0.8660254037844387]]], [97, [[1.0, 0.0], [0.7071067811865475, 0.7071067811865475]]], [101, [[1.0, 0.0], [-0.5, -0.8660254037844385]]]]}