# Distributive lattices up to size 9 [ Lat(num = 0, uc = {0: []}), Lat(num = 1, uc = {0: [1], 1: []}), Lat(num = 2, uc = {0: [1], 1: [2], 2: []}), Lat(num = 3, uc = {0: [1, 2], 1: [3], 2: [3], 3: []}), Lat(num = 4, uc = {0: [1], 1: [2], 2: [3], 3: []}), Lat(num = 7, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: []}), Lat(num = 8, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: []}), Lat(num = 9, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: []}), Lat(num = 17, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [5], 4: [5], 5: []}), Lat(num = 19, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5], 5: []}), Lat(num = 22, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5], 5: []}), Lat(num = 23, uc = {0: [1], 1: [2], 2: [3, 4], 3: [5], 4: [5], 5: []}), Lat(num = 24, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5], 5: []}), Lat(num = 59, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [5], 4: [5], 5: [6], 6: []}), Lat(num = 61, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4, 5], 4: [6], 5: [6], 6: []}), Lat(num = 62, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5], 5: [6], 6: []}), Lat(num = 70, uc = {0: [1], 1: [2, 3], 2: [5], 3: [4, 5], 4: [6], 5: [6], 6: []}), Lat(num = 72, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5], 5: [6], 6: []}), Lat(num = 75, uc = {0: [1], 1: [2], 2: [3, 4], 3: [5], 4: [5], 5: [6], 6: []}), Lat(num = 76, uc = {0: [1], 1: [2], 2: [3], 3: [4, 5], 4: [6], 5: [6], 6: []}), Lat(num = 77, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5], 5: [6], 6: []}), Lat(num = 197, uc = {0: [1, 2, 3], 1: [5, 6], 2: [4, 6], 3: [4, 5], 4: [7], 5: [7], 6: [7], 7: []}), Lat(num = 222, uc = {0: [1, 2], 1: [5], 2: [3, 5], 3: [4, 6], 4: [7], 5: [6], 6: [7], 7: []}), Lat(num = 237, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [6], 4: [5, 6], 5: [7], 6: [7], 7: []}), Lat(num = 239, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [5], 4: [5], 5: [6], 6: [7], 7: []}), Lat(num = 244, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4, 5], 4: [6], 5: [6], 6: [7], 7: []}), Lat(num = 245, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5, 6], 5: [7], 6: [7], 7: []}), Lat(num = 246, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5], 5: [6], 6: [7], 7: []}), Lat(num = 281, uc = {0: [1], 1: [2, 3], 2: [5], 3: [4, 5], 4: [6], 5: [6], 6: [7], 7: []}), Lat(num = 283, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5, 6], 5: [7], 6: [7], 7: []}), Lat(num = 284, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5], 5: [6], 6: [7], 7: []}), Lat(num = 292, uc = {0: [1], 1: [2], 2: [3, 4], 3: [6], 4: [5, 6], 5: [7], 6: [7], 7: []}), Lat(num = 294, uc = {0: [1], 1: [2], 2: [3, 4], 3: [5], 4: [5], 5: [6], 6: [7], 7: []}), Lat(num = 297, uc = {0: [1], 1: [2], 2: [3], 3: [4, 5], 4: [6], 5: [6], 6: [7], 7: []}), Lat(num = 298, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5, 6], 5: [7], 6: [7], 7: []}), Lat(num = 299, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5], 5: [6], 6: [7], 7: []}), Lat(num = 1004, uc = {0: [1, 2, 3], 1: [5, 6], 2: [4, 6], 3: [4, 5], 4: [7], 5: [7], 6: [7], 7: [8], 8: []}), Lat(num = 1089, uc = {0: [1, 2], 1: [5], 2: [3, 5], 3: [4, 6], 4: [7], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1112, uc = {0: [1, 2], 1: [4, 5], 2: [3, 5], 3: [7], 4: [6], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1132, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [6], 4: [5, 6], 5: [7], 6: [7], 7: [8], 8: []}), Lat(num = 1134, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [5], 4: [5], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1135, uc = {0: [1, 2], 1: [4], 2: [3, 4], 3: [5], 4: [5], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1148, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4, 5], 4: [7], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1150, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4, 5], 4: [6], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1153, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5, 6], 5: [7], 6: [7], 7: [8], 8: []}), Lat(num = 1154, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1155, uc = {0: [1, 2], 1: [3], 2: [3], 3: [4], 4: [5], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1275, uc = {0: [1], 1: [2, 3, 4], 2: [6, 7], 3: [5, 7], 4: [5, 6], 5: [8], 6: [8], 7: [8], 8: []}), Lat(num = 1300, uc = {0: [1], 1: [2, 3], 2: [6], 3: [4, 6], 4: [5, 7], 5: [8], 6: [7], 7: [8], 8: []}), Lat(num = 1315, uc = {0: [1], 1: [2, 3], 2: [5], 3: [4, 5], 4: [7], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1317, uc = {0: [1], 1: [2, 3], 2: [5], 3: [4, 5], 4: [6], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1322, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5, 6], 5: [7], 6: [7], 7: [8], 8: []}), Lat(num = 1323, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1324, uc = {0: [1], 1: [2, 3], 2: [4], 3: [4], 4: [5], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1359, uc = {0: [1], 1: [2], 2: [3, 4], 3: [6], 4: [5, 6], 5: [7], 6: [7], 7: [8], 8: []}), Lat(num = 1361, uc = {0: [1], 1: [2], 2: [3, 4], 3: [5], 4: [5], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1362, uc = {0: [1], 1: [2], 2: [3, 4], 3: [5], 4: [5], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1370, uc = {0: [1], 1: [2], 2: [3], 3: [4, 5], 4: [7], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1372, uc = {0: [1], 1: [2], 2: [3], 3: [4, 5], 4: [6], 5: [6], 6: [7], 7: [8], 8: []}), Lat(num = 1375, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5, 6], 5: [7], 6: [7], 7: [8], 8: []}), Lat(num = 1376, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5], 5: [6, 7], 6: [8], 7: [8], 8: []}), Lat(num = 1377, uc = {0: [1], 1: [2], 2: [3], 3: [4], 4: [5], 5: [6], 6: [7], 7: [8], 8: []})]