# Euler Factors of 32-820e16-1.1-c0e16-0-1 downloaded from the LMFDB on 18 April 2024. {"bad_lfactors": [[2, [1, -4, 10, -20, 35, -52, 68, -80, 85, -80, 68, -52, 35, -20, 10, -4, 1]], [5, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [41, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]]], "first_lfactors": [[2, [1, -4, 10, -20, 35, -52, 68, -80, 85, -80, 68, -52, 35, -20, 10, -4, 1]], [3, [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]], [5, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 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, 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]], [13, [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]], [17, [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]], [19, [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]], [23, [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]], [29, [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]], [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, 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]], [41, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], [43, [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]], [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, -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]], [59, [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]], [61, [1, 4, 8, 12, 18, 24, 24, 20, 19, 16, 8, 8, 20, 28, 32, 44, 53, 44, 32, 28, 20, 8, 8, 16, 19, 20, 24, 24, 18, 12, 8, 4, 1]], [67, [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]], [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, 0, 0, 8, 0, 0, 0, 28, 0, 0, 0, 56, 0, 0, 0, 70, 0, 0, 0, 56, 0, 0, 0, 28, 0, 0, 0, 8, 0, 0, 0, 1]], [89, [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]], [97, [1, -4, 10, -20, 39, -68, 108, -160, 231, -312, 400, -492, 589, -668, 730, -772, 792, -772, 730, -668, 589, -492, 400, -312, 231, -160, 108, -68, 39, -20, 10, -4, 1]], [101, [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]], [103, [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]], [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, -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]], [113, [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]]]}