Resolved Design No 1 Group Size 39 AACC725C A6EED192 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[1,3,9],[2,6,5],[4,12,10],[7,8,11],[13,42,44],[14,40,45],[15,41,43],[16,51,32],[17,49,33],[18,50,31],[19,21,20],[22,30,47],[23,28,48],[24,29,46],[25,39,35],[26,37,36],[27,38,34],[52,61,62],[53,64,58],[55,57,63],[56,60,59]], [[0,1,2,3,4,5,6,7,8,9,10,11,12],[13,16,19,22,25,28,31,34,37,40,43,46,49],[14,17,20,23,26,29,32,35,38,41,44,47,50],[15,18,21,24,27,30,33,36,39,42,45,48,51],[52,53,54,55,56,57,58,59,60,61,62,63,64]] Block Intersection Formula {(0)^6 (1)^20 (2)^12 (4)^1 }^39 Initial Blocks, modulo 13: 0 1 2 6 3 5 8 12 4 7 9 10 Resolved Design No 2 Group Size 39 8F58E8B2 5E54979A Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[1,3,9],[2,6,5],[4,12,10],[7,8,11],[13,39,32],[14,37,33],[15,38,31],[16,48,20],[17,46,21],[18,47,19],[22,27,35],[23,25,36],[24,26,34],[28,45,50],[29,43,51],[30,44,49],[40,42,41],[52,60,58],[53,63,54],[55,56,59],[57,62,64]], [[0,1,2,3,4,5,6,7,8,9,10,11,12],[13,16,19,22,25,28,31,34,37,40,43,46,49],[14,17,20,23,26,29,32,35,38,41,44,47,50],[15,18,21,24,27,30,33,36,39,42,45,48,51],[52,53,54,55,56,57,58,59,60,61,62,63,64]] Block Intersection Formula {(0)^6 (1)^20 (2)^12 (4)^1 }^39 Initial Blocks, modulo 13: 0 1 2 6 3 7 9 12 5 8 10 11 Resolved Design No 3 Group Size 156 A4C2377C 791946B9 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[1,2,4,8,3,6,12,11,9,5,10,7],[13,35,39,43,17,42,49,29,27,19,47,24],[14,36,37,44,18,40,50,30,25,20,48,22],[15,34,38,45,16,41,51,28,26,21,46,23],[31,32,33],[52,59,60,62,53,61,64,57,56,54,63,55]], [[0,1],[2,12],[3,11],[4,10],[5,9],[6,8],[16,49],[17,50],[18,51],[19,46],[20,47],[21,48],[22,43],[23,44],[24,45],[25,40],[26,41],[27,42],[28,37],[29,38],[30,39],[31,34],[32,35],[33,36],[53,64],[54,63],[55,62],[56,61],[57,60],[58,59]] Block Intersection Formula {(0)^6 (1)^20 (2)^12 (4)^1 }^39 Initial Blocks, modulo 13: 0 1 3 11 2 6 8 12 4 5 9 10