# Euler Factors of 40-1407e20-1.1-c0e20-0-2 downloaded from the LMFDB on 24 April 2024.
{"bad_lfactors": [[3, [1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1]], [7, [1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1]], [67, [1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1]]], "first_lfactors": [[2, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -6, 0, 7, 0, -8, 0, 9, 0, -10, 0, 11, 0, -10, 0, 9, 0, -8, 0, 7, 0, -6, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], [3, [1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1]], [5, [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1]], [7, [1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1]], [11, [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -6, 0, 7, 0, -8, 0, 9, 0, -10, 0, 11, 0, -10, 0, 9, 0, -8, 0, 7, 0, -6, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], [13, [1, -2, 1, 2, -4, 2, 3, -6, 3, 4, -8, 6, 1, -8, 9, -2, -8, 12, -5, -8, 15, -8, -5, 12, -8, -2, 9, -8, 1, 6, -8, 4, 3, -6, 3, 2, -4, 2, 1, -2, 1]], [17, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [19, [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1]], [23, [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 0, 11, 0, 10, 0, 9, 0, 8, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1]], [29, [1, 0, 10, 0, 55, 0, 210, 0, 615, 0, 1452, 0, 2850, 0, 4740, 0, 6765, 0, 8350, 0, 8953, 0, 8350, 0, 6765, 0, 4740, 0, 2850, 0, 1452, 0, 615, 0, 210, 0, 55, 0, 10, 0, 1]], [31, [1, -4, 10, -20, 35, -56, 84, -120, 165, -220, 286, -360, 439, -520, 600, -676, 745, -804, 850, -880, 891, -880, 850, -804, 745, -676, 600, -520, 439, -360, 286, -220, 165, -120, 84, -56, 35, -20, 10, -4, 1]], [37, [1, -2, 1, 2, -4, 2, 3, -6, 3, 4, -8, 6, 1, -8, 9, -2, -8, 12, -5, -8, 15, -8, -5, 12, -8, -2, 9, -8, 1, 6, -8, 4, 3, -6, 3, 2, -4, 2, 1, -2, 1]], [41, [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1]], [43, [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 0, 11, 0, 10, 0, 9, 0, 8, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1]], [47, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [53, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [59, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [61, [1, 2, 1, -2, -4, -2, 3, 6, 3, -4, -8, -6, 1, 8, 9, 2, -8, -12, -5, 8, 15, 8, -5, -12, -8, 2, 9, 8, 1, -6, -8, -4, 3, 6, 3, -2, -4, -2, 1, 2, 1]], [67, [1, 1, 0, -1, -1, 0, 1, 1, 0, -1, -1, -1, 0, 1, 1, 0, -1, -1, 0, 1, 1]], [71, [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1]], [73, [1, 8, 38, 126, 325, 676, 1173, 1718, 2156, 2320, 2157, 1718, 1192, 748, 582, 770, 1397, 2346, 3446, 4302, 4651, 4302, 3446, 2346, 1397, 770, 582, 748, 1192, 1718, 2157, 2320, 2156, 1718, 1173, 676, 325, 126, 38, 8, 1]], [79, [1, -8, 38, -126, 325, -676, 1173, -1718, 2156, -2320, 2157, -1718, 1192, -748, 582, -770, 1397, -2346, 3446, -4302, 4651, -4302, 3446, -2346, 1397, -770, 582, -748, 1192, -1718, 2157, -2320, 2156, -1718, 1173, -676, 325, -126, 38, -8, 1]], [83, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [89, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]], [97, [1, -1, 1, -2, 2, -2, 3, -3, 3, -4, 4, -3, 4, -4, 3, -4, 4, -3, 4, -4, 3, -4, 4, -3, 4, -4, 3, -4, 4, -3, 4, -4, 3, -3, 3, -2, 2, -2, 1, -1, 1]], [101, [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 0, 11, 0, 10, 0, 9, 0, 8, 0, 7, 0, 6, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1]], [103, [1, 3, 5, 6, 6, 6, 7, 9, 11, 12, 12, 9, 4, 0, -1, 0, 0, -3, -8, -12, -13, -12, -8, -3, 0, 0, -1, 0, 4, 9, 12, 12, 11, 9, 7, 6, 6, 6, 5, 3, 1]], [107, [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1]], [109, [1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1, 0, 0, 0, -1, 0, 1]], [113, [1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -1, 0, -1, 0, 0, 0, 1, 0, 1]]]}