# Euler Factors of 24-584e12-1.1-c0e12-0-0 downloaded from the LMFDB on 25 April 2024. {"bad_lfactors": [[2, [1, 0, 0, -2, 0, 0, 3, 0, 0, -2, 0, 0, 1]], [73, [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1]]], "first_lfactors": [[2, [1, 0, 0, -2, 0, 0, 3, 0, 0, -2, 0, 0, 1]], [3, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [5, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [7, [1, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -7, 0, 0, 0, 6, 0, 0, 0, -3, 0, 0, 0, 1]], [11, [1, 6, 21, 50, 90, 126, 140, 120, 69, 0, -69, -120, -139, -120, -69, 0, 69, 120, 140, 126, 90, 50, 21, 6, 1]], [13, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [17, [1, 12, 63, 184, 303, 204, -172, -348, 237, 1128, 1053, -156, -922, -156, 1053, 1128, 237, -348, -172, 204, 303, 184, 63, 12, 1]], [19, [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1]], [23, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [29, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [31, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [37, [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1]], [41, [1, 0, 6, 0, 15, 0, 19, 0, 9, 0, -9, 0, -18, 0, -9, 0, 9, 0, 19, 0, 15, 0, 6, 0, 1]], [43, [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1]], [47, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [53, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [59, [1, 0, 6, 2, 15, 12, 23, 30, 33, 42, 51, 42, 62, 42, 51, 42, 33, 30, 23, 12, 15, 2, 6, 0, 1]], [61, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [67, [1, 0, -3, 0, 6, 0, -8, 0, 9, 0, -9, 0, 9, 0, -9, 0, 9, 0, -8, 0, 6, 0, -3, 0, 1]], [71, [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1]], [73, [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1]], [79, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [83, [1, -6, 18, -32, 33, -12, -10, -6, 66, -114, 90, -12, -31, -12, 90, -114, 66, -6, -10, -12, 33, -32, 18, -6, 1]], [89, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [97, [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1]], [101, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [103, [1, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -7, 0, 0, 0, 6, 0, 0, 0, -3, 0, 0, 0, 1]], [107, [1, 6, 21, 50, 90, 126, 140, 120, 69, 0, -69, -120, -139, -120, -69, 0, 69, 120, 140, 126, 90, 50, 21, 6, 1]], [109, [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1]], [113, [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1]]]}