# Euler Factors of 32-984e16-1.1-c0e16-0-0 downloaded from the LMFDB on 19 April 2024. {"bad_lfactors": [[2, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [3, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [41, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]]], "first_lfactors": [[2, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [3, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [5, [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]], [7, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]], [11, [1, 0, -2, 0, 7, 0, -12, 0, 23, 0, -32, 0, 45, 0, -50, 0, 56, 0, -50, 0, 45, 0, -32, 0, 23, 0, -12, 0, 7, 0, -2, 0, 1]], [13, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]], [17, [1, 4, 10, 20, 34, 48, 58, 60, 51, 32, 10, -8, -16, -12, 0, 12, 17, 12, 0, -12, -16, -8, 10, 32, 51, 60, 58, 48, 34, 20, 10, 4, 1]], [19, [1, 0, 8, 0, 27, 0, 48, 0, 43, 0, 8, 0, -15, 0, 0, 0, 16, 0, 0, 0, -15, 0, 8, 0, 43, 0, 48, 0, 27, 0, 8, 0, 1]], [23, [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]], [29, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]], [31, [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]], [37, [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]], [41, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [43, [1, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 1]], [47, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]], [53, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]], [59, [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]], [61, [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]], [67, [1, 16, 120, 560, 1819, 4352, 7888, 10880, 11051, 7088, 120, -6512, -9231, -6528, 0, 6528, 9232, 6528, 0, -6528, -9231, -6512, 120, 7088, 11051, 10880, 7888, 4352, 1819, 560, 120, 16, 1]], [71, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1]], [83, [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]], [89, [1, 4, 10, 20, 34, 48, 58, 60, 51, 32, 10, -8, -16, -12, 0, 12, 17, 12, 0, -12, -16, -8, 10, 32, 51, 60, 58, 48, 34, 20, 10, 4, 1]], [97, [1, 0, -2, 0, 2, 0, -2, 0, 3, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 3, 0, -2, 0, 2, 0, -2, 0, 1]], [101, [1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1]], [103, [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]], [107, [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]], [109, [1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1]], [113, [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]]]}