# Euler Factors of 32-799e16-1.1-c0e16-0-0 downloaded from the LMFDB on 25 April 2024. {"bad_lfactors": [[17, [1, -4, 10, -20, 35, -52, 68, -80, 85, -80, 68, -52, 35, -20, 10, -4, 1]], [47, [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1]]], "first_lfactors": [[2, [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]], [3, [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]], [5, [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]], [7, [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]], [11, [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]], [13, [1, 0, 16, 0, 120, 0, 560, 0, 1820, 0, 4368, 0, 8008, 0, 11440, 0, 12870, 0, 11440, 0, 8008, 0, 4368, 0, 1820, 0, 560, 0, 120, 0, 16, 0, 1]], [17, [1, -4, 10, -20, 35, -52, 68, -80, 85, -80, 68, -52, 35, -20, 10, -4, 1]], [19, [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]], [23, [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]], [29, [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]], [31, [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]], [37, [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]], [41, [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]], [43, [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]], [47, [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1]], [53, [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]], [59, [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]], [61, [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]], [67, [1, 0, -16, 0, 120, 0, -560, 0, 1820, 0, -4368, 0, 8008, 0, -11440, 0, 12870, 0, -11440, 0, 8008, 0, -4368, 0, 1820, 0, -560, 0, 120, 0, -16, 0, 1]], [71, [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]], [73, [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]], [79, [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]], [83, [1, 16, 128, 688, 2808, 9296, 25984, 62960, 134684, 257744, 445568, 700912, 1008840, 1334032, 1625472, 1828656, 1901638, 1828656, 1625472, 1334032, 1008840, 700912, 445568, 257744, 134684, 62960, 25984, 9296, 2808, 688, 128, 16, 1]], [89, [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]], [97, [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]], [101, [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]], [103, [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]], [107, [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]], [109, [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]], [113, [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]]]}