# Euler Factors of 40-1191e20-1.1-c0e20-0-1 downloaded from the LMFDB on 25 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]], [397, [1, -20, 190, -1140, 4845, -15504, 38760, -77520, 125970, -167960, 184756, -167960, 125970, -77520, 38760, -15504, 4845, -1140, 190, -20, 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, -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]], [11, [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]], [13, [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]], [17, [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]], [19, [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]], [23, [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]], [29, [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]], [31, [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]], [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, -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]], [43, [1, -9, 45, -156, 414, -882, 1554, -2304, 2907, -3139, 2907, -2305, 1563, -927, 570, -570, 927, -1563, 2305, -2907, 3139, -2907, 2305, -1563, 927, -570, 570, -927, 1563, -2305, 2907, -3139, 2907, -2304, 1554, -882, 414, -156, 45, -9, 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, -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, 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, -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]], [67, [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]], [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, 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]], [79, [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]], [83, [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]], [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, 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]], [103, [1, 11, 65, 264, 814, 2002, 4038, 6776, 9503, 11077, 10527, 7799, 4027, 913, -474, -550, -913, -3003, -6775, -10527, -12101, -10527, -6775, -3003, -913, -550, -474, 913, 4027, 7799, 10527, 11077, 9503, 6776, 4038, 2002, 814, 264, 65, 11, 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, 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]], [113, [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]]]}