Design No 1 Group Size 15 A3B3AB87 68C40839 Block Intersection Formula {(3)^10 (4)^13 (5)^6 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 4 7 10 0 1 2 5 6 8 10 12 Design No 2 Group Size 15 23109BF3 F10D0213 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 4 7 10 0 1 2 5 7 9 11 12 Design No 3 Group Size 15 97C63CB5 EFE2633F Block Intersection Formula {(3)^10 (4)^13 (5)^6 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 4 8 11 0 1 2 4 6 7 10 12 Design No 4 Group Size 15 FFADAE90 9C3718CA Block Intersection Formula {(3)^10 (4)^13 (5)^6 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 7 12 0 1 2 4 7 8 10 11 Design No 5 Group Size 15 EA4078EB DA1ABA1C Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 7 12 0 1 2 6 7 9 10 13 Design No 6 Group Size 15 AE72F213 E41E3055 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 8 11 0 1 2 4 6 7 8 11 Design No 7 Group Size 15 ECABD52A 078F6FEC Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 8 11 0 1 2 4 6 7 8 12 Design No 8 Group Size 30 9C5DA985 D986BC37 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[1,11],[2,7],[4,14],[5,10],[8,13],[16,26],[17,22],[19,29],[20,25],[23,28],[32,42],[33,38],[35,45],[36,41],[39,44]], [[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,18,19,20,21,22,23,24,25,26,27,28,29,30],[31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]] Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 8 12 0 1 2 3 6 7 9 11 Design No 9 Group Size 30 5461D631 B8606355 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[1,11],[2,7],[4,14],[5,10],[8,13],[16,26],[17,22],[19,29],[20,25],[23,28],[32,42],[33,38],[35,45],[36,41],[39,44]], [[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,18,19,20,21,22,23,24,25,26,27,28,29,30],[31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]] Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 8 12 0 1 2 3 7 9 11 12 Design No 10 Group Size 15 D8F37DDA D4B096E3 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 9 12 0 1 2 3 5 7 10 11 Design No 11 Group Size 15 2201E1E7 C5BDD2F2 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 11 12 0 1 2 4 7 8 10 12 Design No 12 Group Size 15 62D87CB6 2B1F8EEE Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 5 11 12 0 1 2 5 7 9 10 13 Design No 13 Group Size 15 BA23A691 9B2AB34E Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 6 7 10 0 1 2 3 5 7 9 12 Design No 14 Group Size 15 755D3DCD 3688B01C Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 6 7 10 0 1 2 3 6 9 11 13 Design No 15 Group Size 15 7ABCC730 8A95D51E Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 6 8 12 0 1 2 3 5 8 9 13 Design No 16 Group Size 15 596804E8 BEF69A02 Block Intersection Formula {(2)^2 (3)^4 (4)^19 (5)^4 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 3 6 8 12 0 1 2 3 5 9 10 13 Design No 17 Group Size 15 2FF3865B CB5D2764 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 7 9 0 1 2 4 5 8 10 11 Design No 18 Group Size 15 72B699CF A9D732FF Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 7 9 0 1 2 5 6 8 9 11 Design No 19 Group Size 15 C4B038DE D33323A7 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 7 9 0 1 2 6 7 9 12 13 Design No 20 Group Size 15 CD418224 4D4BAFC3 Block Intersection Formula {(2)^2 (3)^4 (4)^19 (5)^4 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 7 9 0 1 2 6 8 9 11 12 Design No 21 Group Size 15 77717DDF F558FCFF Block Intersection Formula {(3)^10 (4)^13 (5)^6 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 7 10 0 1 2 4 8 10 11 12 Design No 22 Group Size 60 42443CB6 60842144 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[1,2,4,8],[3,6,12,9],[5,10],[7,14,13,11],[17,18,20,24],[19,22,28,25],[21,26],[23,30,29,27],[31,45,43,39],[33,34,36,40],[35,38,44,41],[37,42]], [[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[16,17,18,19,20,21,22,23,24,25,26,27,28,29,30],[31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]] Block Intersection Formula {(2)^2 (3)^4 (4)^19 (5)^4 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 8 10 0 1 2 3 5 7 8 11 Design No 23 Group Size 322560 5E4F249A 7C8CE55D Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[4,5],[6,14],[8,15],[9,12],[17,32],[18,38],[21,43],[25,41],[26,39],[27,44],[28,37],[30,36]], [[4,6],[5,14],[8,9],[12,15],[16,45],[17,32],[19,42],[21,43],[22,40],[25,41],[29,33],[30,36]], [[4,8],[5,15],[6,9],[12,14],[18,38],[22,40],[23,35],[24,34],[25,41],[27,44],[29,33],[30,36]], [[3,4],[5,13],[7,15],[8,11],[16,31],[17,37],[20,42],[24,40],[25,38],[26,43],[27,36],[29,35]], [[2,3],[5,9],[7,10],[8,14],[16,30],[19,25],[23,26],[24,28],[34,37],[35,39],[36,45],[41,42]], [[1,2],[5,15],[7,13],[12,14],[18,34],[22,41],[23,44],[24,38],[25,40],[27,35],[29,36],[30,33]], [[0,1],[5,8],[9,14],[11,13],[17,29],[21,22],[23,28],[24,26],[32,33],[34,39],[35,37],[40,43]] Block Intersection Formula {(0)^1 (4)^28 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 8 10 0 1 2 3 7 10 11 13 Design No 24 Group Size 15 20AD19C7 B7BA1946 Block Intersection Formula {(2)^1 (3)^7 (4)^16 (5)^5 (8)^1 }^30 Initial Blocks, modulo 15: 1000 0 1 2 4 5 10 12 0 1 2 3 5 9 11 12