Resolved Design No 1 Group Size 13 3351FACA 5E167C76 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 4 3 7 5 10 6 12 8 11 Resolved Design No 2 Group Size 13 DA363B8C 5DE0B398 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 4 3 8 5 9 6 12 7 10 Resolved Design No 3 Group Size 39 47665357 8FB3E3F3 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],[13,59,30],[14,58,27],[15,56,28],[16,57,26],[17,60,25],[18,55,29],[19,77,84],[20,76,81],[21,74,82],[22,75,80],[23,78,79],[24,73,83],[31,35,36],[32,34,33],[37,53,90],[38,52,87],[39,50,88],[40,51,86],[41,54,85],[42,49,89],[43,71,66],[44,70,63],[45,68,64],[46,69,62],[47,72,61],[48,67,65],[91,98,93],[92,101,102],[95,97,103],[96,100,99]], [[0,1,2,3,4,5,6,7,8,9,10,11,12],[13,19,25,31,37,43,49,55,61,67,73,79,85],[14,20,26,32,38,44,50,56,62,68,74,80,86],[15,21,27,33,39,45,51,57,63,69,75,81,87],[16,22,28,34,40,46,52,58,64,70,76,82,88],[17,23,29,35,41,47,53,59,65,71,77,83,89],[18,24,30,36,42,48,54,60,66,72,78,84,90],[91,92,93,94,95,96,97,98,99,100,101,102,103]] Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 4 3 8 5 12 6 9 7 11 Resolved Design No 4 Group Size 13 D82B3E48 50818199 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 4 3 9 6 10 7 12 8 11 Resolved Design No 5 Group Size 13 024B8A54 7D6AAD61 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 4 3 9 6 11 7 10 8 12 Resolved Design No 6 Group Size 13 0156EDE5 2A97D9E1 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 4 3 10 5 9 7 12 8 11 Resolved Design No 7 Group Size 13 261ABEF1 0531A059 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 5 3 8 4 11 6 10 7 9 Resolved Design No 8 Group Size 13 6BE84A42 3AD94F29 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 5 3 9 4 12 6 8 7 11 Resolved Design No 9 Group Size 13 761A96A4 A9FF05E5 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 5 3 9 4 12 7 11 8 10 Resolved Design No 10 Group Size 39 A248C9F6 E188C831 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],[13,80,46],[14,82,43],[15,83,48],[16,79,44],[17,84,45],[18,81,47],[19,20,22],[21,23,24],[25,38,76],[26,40,73],[27,41,78],[28,37,74],[29,42,75],[30,39,77],[31,56,52],[32,58,49],[33,59,54],[34,55,50],[35,60,51],[36,57,53],[61,68,88],[62,70,85],[63,71,90],[64,67,86],[65,72,87],[66,69,89],[91,102,96],[93,95,101],[94,98,97],[99,100,103]], [[0,1,4],[2,7,9],[3,10,5],[8,12,11],[13,86,70],[14,88,67],[15,89,72],[16,85,68],[17,90,69],[18,87,71],[19,26,46],[20,28,43],[21,29,48],[22,25,44],[23,30,45],[24,27,47],[31,62,76],[32,64,73],[33,65,78],[34,61,74],[35,66,75],[36,63,77],[37,80,52],[38,82,49],[39,83,54],[40,79,50],[41,84,51],[42,81,53],[55,56,58],[57,59,60],[91,103,100],[92,93,96],[94,99,101],[95,102,97]] Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 5 3 10 4 8 6 11 7 9 Resolved Design No 11 Group Size 13 DFF6486F 833F0017 Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 5 3 10 4 9 6 8 7 11 Resolved Design No 12 Group Size 13 5C672A70 74F0D4AC Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 5 3 10 6 11 7 9 8 12 Resolved Design No 13 Group Size 39 F726FE84 FC31C1C8 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],[13,48,56],[14,43,60],[15,46,59],[16,47,57],[17,45,58],[18,44,55],[19,66,32],[20,61,36],[21,64,35],[22,65,33],[23,63,34],[24,62,31],[25,84,86],[26,79,90],[27,82,89],[28,83,87],[29,81,88],[30,80,85],[37,42,38],[39,40,41],[49,78,68],[50,73,72],[51,76,71],[52,77,69],[53,75,70],[54,74,67],[91,96,98],[92,99,94],[93,102,103],[97,101,100]], [[0,1,2,3,4,5,6,7,8,9,10,11,12],[13,19,25,31,37,43,49,55,61,67,73,79,85],[14,20,26,32,38,44,50,56,62,68,74,80,86],[15,21,27,33,39,45,51,57,63,69,75,81,87],[16,22,28,34,40,46,52,58,64,70,76,82,88],[17,23,29,35,41,47,53,59,65,71,77,83,89],[18,24,30,36,42,48,54,60,66,72,78,84,90],[91,92,93,94,95,96,97,98,99,100,101,102,103]] Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 6 3 5 4 10 7 12 8 11 Resolved Design No 14 Group Size 156 5D6B0F95 0952CB37 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],[13,60,65,75,20,70,85,48,41,27,80,34],[14,58,61,78,23,69,86,46,37,30,83,33],[15,56,64,73,24,71,87,44,40,25,84,35],[16,55,66,77,21,68,88,43,42,29,81,32],[17,57,62,76,19,72,89,45,38,28,79,36],[18,59,63,74,22,67,90,47,39,26,82,31],[49,54,53,51,50,52],[91,98,99,101,92,100,103,96,95,93,102,94]], [[0,1],[2,12],[3,11],[4,10],[5,9],[6,8],[19,85],[20,86],[21,87],[22,88],[23,89],[24,90],[25,79],[26,80],[27,81],[28,82],[29,83],[30,84],[31,73],[32,74],[33,75],[34,76],[35,77],[36,78],[37,67],[38,68],[39,69],[40,70],[41,71],[42,72],[43,61],[44,62],[45,63],[46,64],[47,65],[48,66],[49,55],[50,56],[51,57],[52,58],[53,59],[54,60],[92,103],[93,102],[94,101],[95,100],[96,99],[97,98]] Block Intersection Formula {(0)^55 (1)^22 (2)^1 }^78 Initial Blocks, modulo 13: 0 1 2 12 3 11 4 10 5 9 6 8