# Euler Factors of 18-1676e9-419.418-c0e9-0-0 downloaded from the LMFDB on 28 April 2024. {"bad_lfactors": [[2, [1]], [419, [1, -9, 36, -84, 126, -126, 84, -36, 9, -1]]], "first_lfactors": [[2, [1]], [3, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [5, [1, 0, 0, 3, 0, 0, 6, 0, 0, 7, 0, 0, 6, 0, 0, 3, 0, 0, 1]], [7, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [11, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [13, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [17, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [19, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [23, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [29, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [31, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [37, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [41, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [43, [1, 0, 0, 3, 0, 0, 6, 0, 0, 7, 0, 0, 6, 0, 0, 3, 0, 0, 1]], [47, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [53, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [59, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [61, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [67, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [71, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [73, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [79, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]], [83, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [89, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [97, [1, 0, 0, 3, 0, 0, 6, 0, 0, 7, 0, 0, 6, 0, 0, 3, 0, 0, 1]], [101, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [103, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [107, [1, 9, 45, 156, 414, 882, 1554, 2304, 2907, 3139, 2907, 2304, 1554, 882, 414, 156, 45, 9, 1]], [109, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]], [113, [1, 0, -9, 0, 36, 0, -84, 0, 126, 0, -126, 0, 84, 0, -36, 0, 9, 0, -1]]]}