Resolved Design No 1 Group Size 13 BD6AFE8E DAB94892 Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 2 3 6 10 4 7 12 5 9 11 Resolved Design No 2 Group Size 13 5CE3AE91 EAF704CC Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 2 4 9 5 8 12 6 7 11 Resolved Design No 3 Group Size 13 E792797E 727A5B2B Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 2 4 9 5 8 12 6 10 11 Resolved Design No 4 Group Size 13 C1458BFA 582C6125 Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 2 5 9 4 6 11 7 8 12 Resolved Design No 5 Group Size 13 DBB5C36C 4F08B46E Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 2 5 9 4 10 12 6 7 11 Resolved Design No 6 Group Size 5616 E79D555E 66237EBF Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[4,10],[5,11],[6,7],[8,12],[15,16],[17,46],[18,47],[19,45],[20,48],[21,50],[22,49],[23,51],[24,52],[25,63],[26,64],[27,62],[28,61],[29,30],[33,34],[41,44],[53,58],[54,60],[55,57],[56,59],[66,73],[67,74],[68,77],[75,76]], [[2,4,10],[5,6,8],[7,11,12],[14,15,16],[17,39,46],[18,40,47],[19,37,45],[20,38,48],[21,25,60],[22,26,59],[23,28,58],[24,27,57],[29,30,31],[41,43,44],[49,56,64],[50,54,63],[51,53,61],[52,55,62],[66,71,73],[67,68,76],[74,75,77]], [[2,5],[4,8],[6,10],[7,12],[14,16],[17,55],[18,54],[19,56],[20,53],[25,60],[26,59],[27,57],[28,58],[29,31],[33,36],[37,49],[38,51],[39,52],[40,50],[41,44],[45,64],[46,62],[47,63],[48,61],[66,75],[68,76],[71,74],[73,77]], [[3,9],[4,10],[5,6],[7,11],[13,42],[14,43],[15,41],[16,44],[17,46],[18,45],[19,47],[20,48],[21,59],[22,60],[23,58],[24,57],[25,26],[29,30],[37,40],[49,54],[50,56],[51,53],[52,55],[63,64],[65,72],[66,73],[67,76],[74,75]], [[1,2],[3,8],[6,11],[9,12],[13,28],[14,27],[15,25],[16,26],[21,55],[22,54],[23,53],[24,56],[31,32],[33,40],[34,37],[35,38],[36,39],[41,63],[42,61],[43,62],[44,64],[45,47],[50,52],[57,59],[65,68],[67,75],[70,71],[72,77]], [[0,1],[4,8],[6,7],[10,12],[17,28],[18,25],[19,26],[20,27],[23,24],[29,33],[30,34],[31,36],[32,35],[38,39],[41,44],[45,64],[46,61],[47,63],[48,62],[51,52],[53,57],[54,60],[55,58],[56,59],[66,68],[69,70],[73,77],[75,76]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 2 6 7 4 8 11 5 10 12 Resolved Design No 7 Group Size 39 1188A5AA 664AC6CD 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],[13,18,32],[14,20,29],[15,19,31],[16,17,30],[21,42,52],[22,44,49],[23,43,51],[24,41,50],[25,54,36],[26,56,33],[27,55,35],[28,53,34],[37,38,40],[45,62,60],[46,64,57],[47,63,59],[48,61,58],[65,66,69],[67,72,74],[68,75,70],[73,77,76]], [[0,1,2,3,4,5,6,7,8,9,10,11,12],[13,17,21,25,29,33,37,41,45,49,53,57,61],[14,18,22,26,30,34,38,42,46,50,54,58,62],[15,19,23,27,31,35,39,43,47,51,55,59,63],[16,20,24,28,32,36,40,44,48,52,56,60,64],[65,66,67,68,69,70,71,72,73,74,75,76,77]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 2 8 12 4 6 11 5 9 10 Resolved Design No 8 Group Size 156 9E9E4359 EC0AF7BF 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],[13,38,36,27,61,30,20,47,49,58,24,55],[14,40,35,25,62,32,19,45,50,60,23,53],[15,37,34,28,63,29,18,48,51,57,22,56],[16,39,33,26,64,31,17,46,52,59,21,54],[41,42,44,43],[65,71,70,68,77,69,66,73,74,76,67,75]], [[0,1],[2,12],[3,11],[4,10],[5,9],[6,8],[13,24],[14,23],[15,22],[16,21],[17,20],[18,19],[25,64],[26,63],[27,62],[28,61],[29,60],[30,59],[31,58],[32,57],[33,56],[34,55],[35,54],[36,53],[37,52],[38,51],[39,50],[40,49],[41,48],[42,47],[43,46],[44,45],[65,67],[68,77],[69,76],[70,75],[71,74],[72,73]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 4 2 7 9 3 5 10 8 11 12