# Euler Factors of 40-712e20-1.1-c0e20-0-0 downloaded from the LMFDB on 19 April 2024.
{"bad_lfactors": [[2, [1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -10, 9, -8, 7, -6, 5, -4, 3, -2, 1]], [89, [1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -10, 9, -8, 7, -6, 5, -4, 3, -2, 1]]], "first_lfactors": [[2, [1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -10, 9, -8, 7, -6, 5, -4, 3, -2, 1]], [3, [1, 2, 2, 2, 3, 4, 4, 4, 5, 6, 6, 4, 3, 4, 4, 2, 1, 2, 2, 0, -1, 0, 2, 2, 1, 2, 4, 4, 3, 4, 6, 6, 5, 4, 4, 4, 3, 2, 2, 2, 1]], [5, [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]], [7, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [11, [1, 0, 9, 0, 36, 0, 84, 0, 126, 0, 126, 0, 84, 0, 36, 0, 9, 0, 1, 0, 0, 0, 1, 0, 9, 0, 36, 0, 84, 0, 126, 0, 126, 0, 84, 0, 36, 0, 9, 0, 1]], [13, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [17, [1, 0, 9, 0, 36, 0, 84, 0, 126, 0, 126, 0, 84, 0, 36, 0, 9, 0, 1, 0, 0, 0, 1, 0, 9, 0, 36, 0, 84, 0, 126, 0, 126, 0, 84, 0, 36, 0, 9, 0, 1]], [19, [1, 2, 2, 2, 3, 4, 4, 4, 5, 6, 6, 4, 3, 4, 4, 2, 1, 2, 2, 0, -1, 0, 2, 2, 1, 2, 4, 4, 3, 4, 6, 6, 5, 4, 4, 4, 3, 2, 2, 2, 1]], [23, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [29, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [31, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [37, [1, 0, 0, 0, 10, 0, 0, 0, 45, 0, 0, 0, 120, 0, 0, 0, 210, 0, 0, 0, 252, 0, 0, 0, 210, 0, 0, 0, 120, 0, 0, 0, 45, 0, 0, 0, 10, 0, 0, 0, 1]], [41, [1, -2, 2, -2, 3, -4, 4, -4, 5, -6, 6, -4, 3, -4, 4, -2, 1, -2, 2, 0, -1, 0, 2, -2, 1, -2, 4, -4, 3, -4, 6, -6, 5, -4, 4, -4, 3, -2, 2, -2, 1]], [43, [1, -2, 2, -2, 3, -4, 4, -4, 5, -6, 6, -4, 3, -4, 4, -2, 1, -2, 2, 0, -1, 0, 2, -2, 1, -2, 4, -4, 3, -4, 6, -6, 5, -4, 4, -4, 3, -2, 2, -2, 1]], [47, [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]], [53, [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]], [59, [1, 2, 2, 2, 3, 4, 4, 4, 5, 6, 6, 4, 3, 4, 4, 2, 1, 2, 2, 0, -1, 0, 2, 2, 1, 2, 4, 4, 3, 4, 6, 6, 5, 4, 4, 4, 3, 2, 2, 2, 1]], [61, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [67, [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]], [71, [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]], [73, [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]], [79, [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]], [83, [1, -2, 2, -2, 3, -4, 4, -4, 5, -6, 6, -4, 3, -4, 4, -2, 1, -2, 2, 0, -1, 0, 2, -2, 1, -2, 4, -4, 3, -4, 6, -6, 5, -4, 4, -4, 3, -2, 2, -2, 1]], [89, [1, -2, 3, -4, 5, -6, 7, -8, 9, -10, 11, -10, 9, -8, 7, -6, 5, -4, 3, -2, 1]], [97, [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]], [101, [1, 0, 0, 0, 10, 0, 0, 0, 45, 0, 0, 0, 120, 0, 0, 0, 210, 0, 0, 0, 252, 0, 0, 0, 210, 0, 0, 0, 120, 0, 0, 0, 45, 0, 0, 0, 10, 0, 0, 0, 1]], [103, [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 1]], [107, [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]], [109, [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]], [113, [1, -2, 2, -2, 3, -4, 4, -4, 5, -6, 6, -4, 3, -4, 4, -2, 1, -2, 2, 0, -1, 0, 2, -2, 1, -2, 4, -4, 3, -4, 6, -6, 5, -4, 4, -4, 3, -2, 2, -2, 1]]]}