# Euler Factors of 24-3380e12-1.1-c0e12-0-2 downloaded from the LMFDB on 14 January 2026. {"bad_lfactors": [[2, [1, 0, -3, 0, 6, 0, -7, 0, 6, 0, -3, 0, 1]], [5, [1, 0, 6, 0, 15, 0, 20, 0, 15, 0, 6, 0, 1]], [13, [1]]], "first_lfactors": [[2, [1, 0, -3, 0, 6, 0, -7, 0, 6, 0, -3, 0, 1]], [3, [1, 2, 1, -2, -4, -2, 3, 4, -1, -6, -4, 4, 9, 4, -4, -6, -1, 4, 3, -2, -4, -2, 1, 2, 1]], [5, [1, 0, 6, 0, 15, 0, 20, 0, 15, 0, 6, 0, 1]], [7, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [11, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [13, [1]], [17, [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1]], [19, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [23, [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1]], [29, [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1]], [31, [1, 0, 12, 0, 66, 0, 220, 0, 495, 0, 792, 0, 924, 0, 792, 0, 495, 0, 220, 0, 66, 0, 12, 0, 1]], [37, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [41, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [43, [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1]], [47, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -6, 0, 7, 0, -6, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], [53, [1, 0, -12, 0, 66, 0, -220, 0, 495, 0, -792, 0, 924, 0, -792, 0, 495, 0, -220, 0, 66, 0, -12, 0, 1]], [59, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [61, [1, -2, 1, 2, -4, 2, 3, -4, -1, 6, -4, -4, 9, -4, -4, 6, -1, -4, 3, 2, -4, 2, 1, -2, 1]], [67, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [71, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [73, [1, 0, 12, 0, 66, 0, 220, 0, 495, 0, 792, 0, 924, 0, 792, 0, 495, 0, 220, 0, 66, 0, 12, 0, 1]], [79, [1, 0, -12, 0, 66, 0, -220, 0, 495, 0, -792, 0, 924, 0, -792, 0, 495, 0, -220, 0, 66, 0, -12, 0, 1]], [83, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -6, 0, 7, 0, -6, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], [89, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [97, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [101, [1, 2, 1, -2, -4, -2, 3, 4, -1, -6, -4, 4, 9, 4, -4, -6, -1, 4, 3, -2, -4, -2, 1, 2, 1]], [103, [1, 4, 10, 20, 35, 56, 84, 116, 149, 180, 206, 224, 231, 224, 206, 180, 149, 116, 84, 56, 35, 20, 10, 4, 1]], [107, [1, -12, 78, -352, 1221, -3432, 8074, -16236, 28314, -43252, 58278, -69576, 73789, -69576, 58278, -43252, 28314, -16236, 8074, -3432, 1221, -352, 78, -12, 1]], [109, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -6, 0, 7, 0, -6, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], [113, [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1]]]}