## T^3 f = (15,105,180,90), g_2 = 55. ## deg = 14,14,14,14,14,14,14,14,14,14,14,14,14,14,14 ## n_4,... = 0,0,0,0,0,0,0,0,0,0,15 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,8], [1,3,7,9],[1,3,8,9],[1,4,6,10],[1,4,7,11],[1,4,10,11],[1,5,6,12], [1,5,8,13],[1,5,12,13],[1,6,10,14],[1,6,12,14],[1,7,9,11],[1,8,9,13], [1,9,11,15],[1,9,13,15],[1,10,11,14],[1,11,14,15],[1,12,13,14], [1,13,14,15],[2,3,4,12],[2,3,5,14],[2,3,10,12],[2,3,10,14],[2,4,6,13], [2,4,8,12],[2,4,8,13],[2,5,6,15],[2,5,9,14],[2,5,9,15],[2,6,11,13], [2,6,11,15],[2,7,8,10],[2,7,8,11],[2,7,9,10],[2,7,9,11],[2,8,10,12], [2,8,11,13],[2,9,10,14],[2,9,11,15],[3,4,7,12],[3,5,8,14],[3,6,7,9], [3,6,7,13],[3,6,8,9],[3,6,8,15],[3,6,11,13],[3,6,11,15],[3,7,12,13], [3,8,14,15],[3,10,11,12],[3,10,11,14],[3,11,12,13],[3,11,14,15], [4,5,7,11],[4,5,7,14],[4,5,9,14],[4,5,9,15],[4,5,10,11],[4,5,10,15], [4,6,10,13],[4,7,12,14],[4,8,9,12],[4,8,9,13],[4,9,12,14],[4,9,13,15], [4,10,13,15],[5,6,12,15],[5,7,8,11],[5,7,8,14],[5,8,11,13], [5,10,11,12],[5,10,12,15],[5,11,12,13],[6,7,9,10],[6,7,10,13], [6,8,9,12],[6,8,12,15],[6,9,10,14],[6,9,12,14],[7,8,10,15],[7,8,14,15], [7,10,13,15],[7,12,13,14],[7,13,14,15],[8,10,12,15]]; ## G2 f = (16,116,200,100), g_2 = 62. ## deg = 12,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15 ## n_4,... = 0,0,0,0,0,0,0,0,1,0,5,10 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,10],[1,5,9,10],[1,6,8,11], [1,6,9,11],[1,7,8,12],[1,7,10,13],[1,7,12,13],[1,8,11,14],[1,8,12,14], [1,9,10,13],[1,9,11,15],[1,9,13,16],[1,9,15,16],[1,11,14,15], [1,12,13,16],[1,12,14,15],[1,12,15,16],[2,3,4,9],[2,3,5,16],[2,3,9,10], [2,3,10,16],[2,4,6,13],[2,4,9,12],[2,4,12,13],[2,5,6,15],[2,5,8,15], [2,5,8,16],[2,6,7,13],[2,6,7,15],[2,7,8,12],[2,7,8,15],[2,7,12,13], [2,8,12,14],[2,8,14,16],[2,9,10,12],[2,10,12,14],[2,10,14,16], [3,4,7,9],[3,5,7,11],[3,5,11,16],[3,6,8,10],[3,6,8,11],[3,6,10,16], [3,6,11,16],[3,7,9,14],[3,7,11,14],[3,8,9,10],[3,8,9,14],[3,8,11,14], [4,5,10,11],[4,5,10,14],[4,5,11,16],[4,5,13,14],[4,5,13,16],[4,6,8,10], [4,6,10,14],[4,6,13,14],[4,7,8,15],[4,7,9,15],[4,8,10,15],[4,9,11,12], [4,9,11,15],[4,10,11,15],[4,11,12,16],[4,12,13,16],[5,6,9,12], [5,6,12,15],[5,7,10,11],[5,8,13,15],[5,8,13,16],[5,9,10,12], [5,10,12,14],[5,12,14,15],[5,13,14,15],[6,7,13,14],[6,7,14,16], [6,7,15,16],[6,9,11,12],[6,10,14,16],[6,11,12,16],[6,12,15,16], [7,9,14,16],[7,9,15,16],[7,10,11,13],[7,11,13,14],[8,9,10,13], [8,9,13,16],[8,9,14,16],[8,10,13,15],[10,11,13,15],[11,13,14,15]]; ## G3 f = (17,117,200,100), g_2 = 59. ## deg = 11,11,12,12,12,13,13,14,14,14,15,15,15,15,16,16,16 ## n_4,... = 0,0,0,0,0,0,0,2,3,2,3,4,3 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,8], [1,3,7,8],[1,4,6,9],[1,4,7,9],[1,5,6,10],[1,5,8,10],[1,6,9,11], [1,6,10,11],[1,7,8,12],[1,7,9,12],[1,8,10,12],[1,9,11,12],[1,10,11,12], [2,3,4,10],[2,3,5,11],[2,3,9,10],[2,3,9,11],[2,4,6,13],[2,4,10,14], [2,4,13,14],[2,5,6,15],[2,5,11,15],[2,6,12,13],[2,6,12,15],[2,7,8,12], [2,7,8,16],[2,7,12,13],[2,7,13,14],[2,7,14,16],[2,8,9,11],[2,8,9,16], [2,8,11,15],[2,8,12,15],[2,9,10,14],[2,9,14,16],[3,4,7,10],[3,5,8,14], [3,5,11,17],[3,5,14,17],[3,6,8,14],[3,6,8,16],[3,6,12,13],[3,6,12,17], [3,6,13,16],[3,6,14,17],[3,7,8,16],[3,7,10,16],[3,9,10,13],[3,9,11,12], [3,9,12,13],[3,10,13,16],[3,11,12,17],[4,5,7,10],[4,5,7,15], [4,5,10,14],[4,5,13,14],[4,5,13,15],[4,6,9,16],[4,6,13,16],[4,7,9,15], [4,9,15,16],[4,13,15,16],[5,6,7,10],[5,6,7,15],[5,8,10,14], [5,11,13,15],[5,11,13,17],[5,13,14,17],[6,7,10,11],[6,7,11,14], [6,7,14,17],[6,7,15,17],[6,8,9,11],[6,8,9,16],[6,8,11,14],[6,12,15,17], [7,9,12,13],[7,9,13,17],[7,9,15,17],[7,10,11,16],[7,11,14,16], [7,13,14,17],[8,10,12,15],[8,10,14,15],[8,11,14,15],[9,10,13,17], [9,10,14,15],[9,10,15,17],[9,14,15,16],[10,11,12,17],[10,11,13,16], [10,11,13,17],[10,12,15,17],[11,13,15,16],[11,14,15,16]]; ## G4 f = (16,115,198,99), g_2 = 61. ## deg = 12,13,14,14,14,14,14,15,15,15,15,15,15,15,15,15 ## n_4,... = 0,0,0,0,0,0,0,0,1,1,5,9 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,8],[1,5,6,9],[1,5,7,10],[1,5,9,11],[1,5,10,11], [1,6,8,12],[1,6,9,13],[1,6,12,13],[1,7,8,14],[1,7,10,15],[1,7,14,16], [1,7,15,16],[1,8,12,14],[1,9,11,13],[1,10,11,15],[1,11,13,16], [1,11,15,16],[1,12,13,16],[1,12,14,16],[2,3,4,10],[2,3,5,15], [2,3,8,10],[2,3,8,12],[2,3,12,15],[2,4,6,14],[2,4,10,13],[2,4,13,14], [2,5,6,16],[2,5,15,16],[2,6,14,16],[2,7,9,11],[2,7,9,14],[2,7,11,12], [2,7,12,15],[2,7,14,16],[2,7,15,16],[2,8,10,13],[2,8,11,12], [2,8,11,13],[2,9,11,13],[2,9,13,14],[3,4,7,11],[3,4,10,11],[3,5,7,13], [3,5,13,15],[3,6,7,11],[3,6,7,13],[3,6,9,13],[3,6,9,16],[3,6,11,14], [3,6,14,16],[3,8,10,14],[3,8,12,14],[3,9,12,15],[3,9,12,16], [3,9,13,15],[3,10,11,14],[3,12,14,16],[4,5,9,11],[4,5,9,16], [4,5,10,11],[4,5,10,13],[4,5,13,15],[4,5,15,16],[4,6,8,15],[4,6,14,15], [4,7,8,9],[4,7,9,11],[4,8,9,16],[4,8,15,16],[4,13,14,15],[5,6,9,16], [5,7,10,13],[6,7,11,12],[6,7,12,13],[6,8,11,12],[6,8,11,15], [6,11,14,15],[7,8,9,14],[7,10,12,13],[7,10,12,15],[8,9,10,14], [8,9,10,16],[8,10,13,16],[8,11,13,16],[8,11,15,16],[9,10,12,15], [9,10,12,16],[9,10,14,15],[9,13,14,15],[10,11,14,15],[10,12,13,16]]; ## G5 f = (16,112,192,96), g_2 = 58. ## deg = 8,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15 ## n_4,... = 0,0,0,0,1,0,0,0,0,1,7,7 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,9],[1,4,8,9],[1,5,6,8],[1,5,7,9],[1,5,8,9],[2,3,4,10], [2,3,5,11],[2,3,8,10],[2,3,8,11],[2,4,6,10],[2,5,6,12],[2,5,11,13], [2,5,12,13],[2,6,9,10],[2,6,9,14],[2,6,12,14],[2,7,8,10],[2,7,8,15], [2,7,9,10],[2,7,9,15],[2,8,11,16],[2,8,15,16],[2,9,14,15],[2,11,13,16], [2,12,13,14],[2,13,14,15],[2,13,15,16],[3,4,7,14],[3,4,10,15], [3,4,14,15],[3,5,7,11],[3,6,7,11],[3,6,7,13],[3,6,9,11],[3,6,9,13], [3,7,13,14],[3,8,9,11],[3,8,9,12],[3,8,10,12],[3,9,12,16],[3,9,13,16], [3,10,12,15],[3,12,15,16],[3,13,14,15],[3,13,15,16],[4,5,10,13], [4,5,10,15],[4,5,12,13],[4,5,12,16],[4,5,14,15],[4,5,14,16],[4,6,8,13], [4,6,10,13],[4,7,9,16],[4,7,14,16],[4,8,9,12],[4,8,12,13],[4,9,12,16], [5,6,8,16],[5,6,12,16],[5,7,9,15],[5,7,11,15],[5,8,9,14],[5,8,14,16], [5,9,14,15],[5,10,11,13],[5,10,11,15],[6,7,8,13],[6,7,8,15], [6,7,11,15],[6,8,15,16],[6,9,10,13],[6,9,11,14],[6,11,12,14], [6,11,12,15],[6,12,15,16],[7,8,10,12],[7,8,12,13],[7,9,10,16], [7,10,12,14],[7,10,14,16],[7,12,13,14],[8,9,11,14],[8,11,14,16], [9,10,13,16],[10,11,12,14],[10,11,12,15],[10,11,13,16],[10,11,14,16]]; ## G6 f = (17,124,214,107), g_2 = 66. ## deg = 12,13,13,13,13,14,15,15,15,15,15,15,16,16,16,16,16 ## n_4,... = 0,0,0,0,0,0,0,0,1,4,1,6,5 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,9],[1,4,8,9],[1,5,6,10],[1,5,7,11],[1,5,10,11], [1,6,8,10],[1,7,9,12],[1,7,11,13],[1,7,12,13],[1,8,9,12],[1,8,10,14], [1,8,12,14],[1,10,11,13],[1,10,13,14],[1,12,13,14],[2,3,4,10], [2,3,5,13],[2,3,10,15],[2,3,11,13],[2,3,11,15],[2,4,6,16],[2,4,10,16], [2,5,6,9],[2,5,9,13],[2,6,9,16],[2,9,11,13],[2,9,11,14],[2,9,14,16], [2,10,15,16],[2,11,14,15],[2,14,15,16],[3,4,7,17],[3,4,10,12], [3,4,12,17],[3,5,7,16],[3,5,13,16],[3,6,9,15],[3,6,9,16],[3,6,11,15], [3,6,11,16],[3,7,14,16],[3,7,14,17],[3,9,10,12],[3,9,10,15], [3,9,12,17],[3,9,14,16],[3,9,14,17],[3,11,13,16],[4,5,9,13],[4,5,9,15], [4,5,10,11],[4,5,10,12],[4,5,11,14],[4,5,12,15],[4,5,13,14],[4,6,8,13], [4,6,11,14],[4,6,11,16],[4,6,13,14],[4,7,9,15],[4,7,15,17],[4,8,9,13], [4,10,11,16],[4,12,15,17],[5,6,9,15],[5,6,10,12],[5,6,12,15], [5,7,8,11],[5,7,8,16],[5,8,11,17],[5,8,16,17],[5,11,14,17], [5,13,14,17],[5,13,16,17],[6,7,8,10],[6,7,8,13],[6,7,10,12], [6,7,12,13],[6,11,14,15],[6,12,13,14],[6,12,14,15],[7,8,10,14], [7,8,11,13],[7,8,14,16],[7,9,10,12],[7,9,10,15],[7,10,14,17], [7,10,15,17],[8,9,11,13],[8,9,11,17],[8,9,12,17],[8,12,14,16], [8,12,16,17],[9,11,14,17],[10,11,13,16],[10,13,14,17],[10,13,16,17], [10,15,16,17],[12,14,15,16],[12,15,16,17]]; ## KxS^1 f = (16,115,198,99), g_2 = 61. ## deg = 12,13,13,14,14,14,15,15,15,15,15,15,15,15,15,15 ## n_4,... = 0,0,0,0,0,0,0,0,1,2,3,10 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,9],[1,4,8,9],[1,5,6,10],[1,5,7,11],[1,5,10,11], [1,6,8,10],[1,7,9,12],[1,7,11,13],[1,7,12,13],[1,8,9,12],[1,8,10,14], [1,8,12,15],[1,8,14,15],[1,10,11,14],[1,11,13,16],[1,11,14,16], [1,12,13,16],[1,12,15,16],[1,14,15,16],[2,3,4,12],[2,3,5,9],[2,3,9,12], [2,4,6,11],[2,4,11,12],[2,5,6,16],[2,5,9,16],[2,6,7,14],[2,6,7,16], [2,6,11,14],[2,7,8,15],[2,7,8,16],[2,7,13,14],[2,7,13,15],[2,8,9,12], [2,8,9,16],[2,8,12,15],[2,10,11,12],[2,10,11,14],[2,10,12,15], [2,10,13,14],[2,10,13,15],[3,4,7,16],[3,4,12,14],[3,4,14,16],[3,5,7,8], [3,5,8,13],[3,5,9,13],[3,6,8,10],[3,6,8,11],[3,6,9,10],[3,6,9,14], [3,6,11,14],[3,7,8,16],[3,8,10,13],[3,8,11,16],[3,9,10,13],[3,9,12,14], [3,11,14,16],[4,5,11,12],[4,5,11,15],[4,5,12,14],[4,5,14,15], [4,6,8,11],[4,7,9,10],[4,7,10,16],[4,8,9,11],[4,9,10,15],[4,9,11,15], [4,10,15,16],[4,14,15,16],[5,6,10,16],[5,7,8,15],[5,7,11,15], [5,8,13,14],[5,8,14,15],[5,9,13,16],[5,10,11,12],[5,10,12,16], [5,12,13,14],[5,12,13,16],[6,7,9,10],[6,7,9,14],[6,7,10,16], [7,9,12,14],[7,11,13,15],[7,12,13,14],[8,9,11,16],[8,10,13,14], [9,10,13,15],[9,11,13,15],[9,11,13,16],[10,12,15,16]]; ## B2 f = (16,110,188,94), g_2 = 56. ## deg = 7,13,13,14,14,14,14,14,14,14,14,15,15,15,15,15 ## n_4,... = 0,0,0,1,0,0,0,0,0,2,8,5 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,8],[1,5,6,8],[1,5,7,8],[2,3,4,9],[2,3,5,10], [2,3,9,11],[2,3,10,11],[2,4,6,9],[2,5,6,12],[2,5,10,13],[2,5,12,13], [2,6,9,14],[2,6,12,14],[2,7,10,11],[2,7,10,13],[2,7,11,15],[2,7,13,16], [2,7,15,16],[2,8,12,13],[2,8,12,14],[2,8,13,16],[2,8,14,15], [2,8,15,16],[2,9,11,15],[2,9,14,15],[3,4,7,12],[3,4,9,12],[3,5,7,16], [3,5,10,16],[3,6,10,14],[3,6,10,16],[3,6,13,14],[3,6,13,15], [3,6,15,16],[3,7,12,15],[3,7,15,16],[3,8,9,11],[3,8,9,12],[3,8,11,13], [3,8,12,13],[3,10,11,14],[3,11,13,14],[3,12,13,15],[4,5,10,13], [4,5,10,16],[4,5,13,15],[4,5,14,15],[4,5,14,16],[4,6,8,15],[4,6,9,13], [4,6,13,15],[4,7,8,14],[4,7,11,12],[4,7,11,14],[4,8,14,15],[4,9,10,12], [4,9,10,13],[4,10,12,16],[4,11,12,16],[4,11,14,16],[5,6,8,11], [5,6,11,12],[5,7,8,9],[5,7,9,16],[5,8,9,11],[5,9,11,15],[5,9,14,15], [5,9,14,16],[5,11,12,15],[5,12,13,15],[6,8,11,16],[6,8,15,16], [6,9,13,14],[6,10,12,14],[6,10,12,16],[6,11,12,16],[7,8,9,10], [7,8,10,14],[7,9,10,13],[7,9,13,16],[7,10,11,14],[7,11,12,15], [8,9,10,12],[8,10,12,14],[8,11,13,16],[9,13,14,16],[11,13,14,16]]; ## B3 f = (17,119,204,102), g_2 = 61. ## deg = 11,11,12,12,13,13,13,13,14,15,15,16,16,16,16,16,16 ## n_4,... = 0,0,0,0,0,0,0,2,2,4,1,2,6 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,8],[1,4,7,9],[1,4,8,9],[1,5,6,10],[1,5,7,11],[1,5,10,11], [1,6,8,12],[1,6,10,12],[1,7,9,13],[1,7,11,13],[1,8,9,12],[1,9,12,14], [1,9,13,14],[1,10,11,14],[1,10,12,14],[1,11,13,14],[2,3,4,10], [2,3,5,15],[2,3,10,15],[2,4,6,13],[2,4,10,16],[2,4,13,14],[2,4,14,16], [2,5,6,9],[2,5,9,12],[2,5,12,15],[2,6,9,11],[2,6,11,13],[2,7,8,12], [2,7,8,14],[2,7,10,15],[2,7,10,16],[2,7,12,15],[2,7,14,16],[2,8,9,11], [2,8,9,12],[2,8,11,14],[2,11,13,14],[3,4,7,12],[3,4,10,12],[3,5,7,17], [3,5,14,15],[3,5,14,16],[3,5,16,17],[3,6,8,12],[3,6,8,16],[3,6,10,12], [3,6,10,15],[3,6,14,15],[3,6,14,16],[3,7,8,12],[3,7,8,17],[3,8,16,17], [4,5,8,11],[4,5,8,13],[4,5,11,17],[4,5,13,14],[4,5,14,16],[4,5,16,17], [4,6,8,13],[4,7,9,15],[4,7,12,15],[4,8,9,11],[4,9,11,17],[4,9,15,17], [4,10,12,17],[4,10,16,17],[4,12,15,17],[5,6,9,10],[5,7,11,17], [5,8,10,11],[5,8,10,13],[5,9,10,13],[5,9,12,14],[5,9,13,14], [5,12,14,15],[6,7,11,13],[6,7,11,17],[6,7,13,16],[6,7,14,16], [6,7,14,17],[6,8,13,16],[6,9,10,15],[6,9,11,17],[6,9,15,17], [6,14,15,17],[7,8,14,17],[7,9,10,13],[7,9,10,15],[7,10,13,16], [8,10,11,14],[8,10,13,16],[8,10,14,17],[8,10,16,17],[10,12,14,17], [12,14,15,17]]; ## B4 f = (17,117,200,100), g_2 = 59. ## deg = 10,10,11,12,13,13,14,14,14,15,15,15,15,15,16,16,16 ## n_4,... = 0,0,0,0,0,0,2,1,1,2,3,5,3 facets:=[[1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,8], [1,3,7,8],[1,4,6,9],[1,4,7,9],[1,5,6,10],[1,5,8,10],[1,6,9,11], [1,6,10,11],[1,7,8,11],[1,7,9,11],[1,8,10,11],[2,3,4,10],[2,3,5,12], [2,3,10,12],[2,4,6,8],[2,4,8,13],[2,4,10,13],[2,5,6,14],[2,5,7,12], [2,5,7,14],[2,6,8,15],[2,6,14,15],[2,7,9,14],[2,7,9,16],[2,7,10,12], [2,7,10,16],[2,8,13,15],[2,9,13,15],[2,9,13,16],[2,9,14,15], [2,10,13,16],[3,4,7,17],[3,4,10,17],[3,5,8,9],[3,5,9,12],[3,6,7,8], [3,6,7,13],[3,6,8,9],[3,6,9,11],[3,6,11,13],[3,7,13,17],[3,9,11,12], [3,10,12,14],[3,10,14,17],[3,11,12,14],[3,11,13,14],[3,13,14,17], [4,5,7,14],[4,5,7,17],[4,5,11,14],[4,5,11,17],[4,6,8,9],[4,7,9,14], [4,8,9,14],[4,8,13,14],[4,10,11,13],[4,10,11,17],[4,11,13,14], [5,6,10,16],[5,6,14,16],[5,7,12,13],[5,7,13,17],[5,8,9,10],[5,9,10,15], [5,9,12,13],[5,9,13,15],[5,10,15,16],[5,11,14,16],[5,11,15,16], [5,11,15,17],[5,13,15,17],[6,7,8,15],[6,7,12,13],[6,7,12,15], [6,10,11,13],[6,10,13,16],[6,12,13,16],[6,12,14,15],[6,12,14,16], [7,8,11,15],[7,9,11,16],[7,10,12,15],[7,10,15,16],[7,11,15,16], [8,9,10,14],[8,10,11,17],[8,10,14,17],[8,11,15,17],[8,13,14,17], [8,13,15,17],[9,10,14,15],[9,11,12,16],[9,12,13,16],[10,12,14,15], [11,12,14,16]];