# Euler Factors of 24-1332e12-1.1-c0e12-0-1 downloaded from the LMFDB on 18 January 2026.
{"bad_lfactors": [[2, [1]], [3, [1]], [37, [1, -6, 21, -50, 90, -126, 141, -126, 90, -50, 21, -6, 1]]], "first_lfactors": [[2, [1]], [3, [1]], [5, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [7, [1, 0, -3, 0, 6, 0, -8, 0, 9, 0, -9, 0, 9, 0, -9, 0, 9, 0, -8, 0, 6, 0, -3, 0, 1]], [11, [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1]], [13, [1, 0, 6, 2, 15, 12, 23, 30, 33, 42, 51, 42, 62, 42, 51, 42, 33, 30, 23, 12, 15, 2, 6, 0, 1]], [17, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [19, [1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 1]], [23, [1, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -7, 0, 0, 0, 6, 0, 0, 0, -3, 0, 0, 0, 1]], [29, [1, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -7, 0, 0, 0, 6, 0, 0, 0, -3, 0, 0, 0, 1]], [31, [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1]], [37, [1, -6, 21, -50, 90, -126, 141, -126, 90, -50, 21, -6, 1]], [41, [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1]], [43, [1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, -2, 0, 0, 1]], [47, [1, 0, -6, 0, 21, 0, -50, 0, 90, 0, -126, 0, 141, 0, -126, 0, 90, 0, -50, 0, 21, 0, -6, 0, 1]], [53, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [59, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [61, [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1]], [67, [1, 0, -3, 0, 6, 0, -8, 0, 9, 0, -9, 0, 9, 0, -9, 0, 9, 0, -8, 0, 6, 0, -3, 0, 1]], [71, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [73, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [79, [1, 0, -3, -2, 6, 6, -4, -12, -3, 12, 15, -6, -19, -6, 15, 12, -3, -12, -4, 6, 6, -2, -3, 0, 1]], [83, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [89, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [97, [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1]], [101, [1, 0, 6, 0, 21, 0, 50, 0, 90, 0, 126, 0, 141, 0, 126, 0, 90, 0, 50, 0, 21, 0, 6, 0, 1]], [103, [1, 6, 27, 86, 231, 516, 1016, 1752, 2721, 3786, 4797, 5502, 5774, 5502, 4797, 3786, 2721, 1752, 1016, 516, 231, 86, 27, 6, 1]], [107, [1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1]], [109, [1, 0, -3, 2, 6, -6, -4, 12, -3, -12, 15, 6, -19, 6, 15, -12, -3, 12, -4, -6, 6, 2, -3, 0, 1]], [113, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]]]}