# Euler Factors of 32-33e32-1.1-c0e16-0-0 downloaded from the LMFDB on 25 April 2024.
{"bad_lfactors": [[3, [1, 2, 1, -2, -4, -4, -1, 4, 7, 4, -1, -4, -4, -2, 1, 2, 1]], [11, [1]]], "first_lfactors": [[2, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], [3, [1, 2, 1, -2, -4, -4, -1, 4, 7, 4, -1, -4, -4, -2, 1, 2, 1]], [5, [1, 2, 3, 6, 9, 10, 14, 18, 18, 22, 27, 26, 30, 36, 34, 36, 41, 36, 34, 36, 30, 26, 27, 22, 18, 18, 14, 10, 9, 6, 3, 2, 1]], [7, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], [11, [1]], [13, [1, 0, -2, 0, 1, 0, 2, 0, -4, 0, 4, 0, -1, 0, -4, 0, 7, 0, -4, 0, -1, 0, 4, 0, -4, 0, 2, 0, 1, 0, -2, 0, 1]], [17, [1, 0, 4, 0, 10, 0, 20, 0, 35, 0, 52, 0, 68, 0, 80, 0, 85, 0, 80, 0, 68, 0, 52, 0, 35, 0, 20, 0, 10, 0, 4, 0, 1]], [19, [1, 0, 4, 0, 10, 0, 20, 0, 35, 0, 52, 0, 68, 0, 80, 0, 85, 0, 80, 0, 68, 0, 52, 0, 35, 0, 20, 0, 10, 0, 4, 0, 1]], [23, [1, 0, -8, 0, 36, 0, -112, 0, 266, 0, -504, 0, 784, 0, -1016, 0, 1107, 0, -1016, 0, 784, 0, -504, 0, 266, 0, -112, 0, 36, 0, -8, 0, 1]], [29, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], [31, [1, -2, 3, -6, 9, -10, 14, -18, 18, -22, 27, -26, 30, -36, 34, -36, 41, -36, 34, -36, 30, -26, 27, -22, 18, -18, 14, -10, 9, -6, 3, -2, 1]], [37, [1, -4, 6, 0, -15, 28, -22, -12, 60, -80, 36, 56, -129, 120, -20, -108, 167, -108, -20, 120, -129, 56, 36, -80, 60, -12, -22, 28, -15, 0, 6, -4, 1]], [41, [1, 0, -2, 0, 1, 0, 2, 0, -4, 0, 4, 0, -1, 0, -4, 0, 7, 0, -4, 0, -1, 0, 4, 0, -4, 0, 2, 0, 1, 0, -2, 0, 1]], [43, [1, 0, 8, 0, 36, 0, 112, 0, 266, 0, 504, 0, 784, 0, 1016, 0, 1107, 0, 1016, 0, 784, 0, 504, 0, 266, 0, 112, 0, 36, 0, 8, 0, 1]], [47, [1, 2, 3, 6, 9, 10, 14, 18, 18, 22, 27, 26, 30, 36, 34, 36, 41, 36, 34, 36, 30, 26, 27, 22, 18, 18, 14, 10, 9, 6, 3, 2, 1]], [53, [1, 4, 6, 0, -15, -28, -22, 12, 60, 80, 36, -56, -129, -120, -20, 108, 167, 108, -20, -120, -129, -56, 36, 80, 60, 12, -22, -28, -15, 0, 6, 4, 1]], [59, [1, -2, 3, -6, 9, -10, 14, -18, 18, -22, 27, -26, 30, -36, 34, -36, 41, -36, 34, -36, 30, -26, 27, -22, 18, -18, 14, -10, 9, -6, 3, -2, 1]], [61, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], [67, [1, -8, 28, -64, 134, -280, 504, -792, 1233, -1848, 2472, -3144, 3990, -4704, 5124, -5544, 5796, -5544, 5124, -4704, 3990, -3144, 2472, -1848, 1233, -792, 504, -280, 134, -64, 28, -8, 1]], [71, [1, -4, 6, 0, -15, 28, -22, -12, 60, -80, 36, 56, -129, 120, -20, -108, 167, -108, -20, 120, -129, 56, 36, -80, 60, -12, -22, 28, -15, 0, 6, -4, 1]], [73, [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -4, 0, 0, 0, 5, 0, 0, 0, -4, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1]], [79, [1, 0, -2, 0, 1, 0, 2, 0, -4, 0, 4, 0, -1, 0, -4, 0, 7, 0, -4, 0, -1, 0, 4, 0, -4, 0, 2, 0, 1, 0, -2, 0, 1]], [83, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], [89, [1, 0, 16, 0, 120, 0, 560, 0, 1820, 0, 4368, 0, 8008, 0, 11440, 0, 12870, 0, 11440, 0, 8008, 0, 4368, 0, 1820, 0, 560, 0, 120, 0, 16, 0, 1]], [97, [1, -2, 3, -6, 9, -10, 14, -18, 18, -22, 27, -26, 30, -36, 34, -36, 41, -36, 34, -36, 30, -26, 27, -22, 18, -18, 14, -10, 9, -6, 3, -2, 1]], [101, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1]], [103, [1, 2, 3, 6, 9, 10, 14, 18, 18, 22, 27, 26, 30, 36, 34, 36, 41, 36, 34, 36, 30, 26, 27, 22, 18, 18, 14, 10, 9, 6, 3, 2, 1]], [107, [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -4, 0, 0, 0, 5, 0, 0, 0, -4, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1]], [109, [1, 0, -16, 0, 120, 0, -560, 0, 1820, 0, -4368, 0, 8008, 0, -11440, 0, 12870, 0, -11440, 0, 8008, 0, -4368, 0, 1820, 0, -560, 0, 120, 0, -16, 0, 1]], [113, [1, 2, 3, 6, 9, 10, 14, 18, 18, 22, 27, 26, 30, 36, 34, 36, 41, 36, 34, 36, 30, 26, 27, 22, 18, 18, 14, 10, 9, 6, 3, 2, 1]]]}