Design No 1 Group Size 15 40BBA97C 7911C357 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 4 7 10 0 1 3 5 7 10 11 Design No 2 Group Size 15 277FE0C6 C7CF2895 Block Intersection Formula {(2)^6 (3)^13 (4)^10 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 4 7 10 0 1 4 6 8 10 11 Design No 3 Group Size 15 D3826163 52FFA9C8 Block Intersection Formula {(2)^6 (3)^13 (4)^10 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 4 8 11 0 1 3 5 6 9 11 Design No 4 Group Size 15 3E519F6D F3D1B073 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 5 8 11 0 1 2 4 5 9 11 Design No 5 Group Size 15 F6F104A1 B19D1D90 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 5 8 11 0 1 2 6 8 12 13 Design No 6 Group Size 30 3A779F7C 81B385BF 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],[15,25],[16,21],[18,28],[19,24],[22,27],[30,35],[32,42],[33,38],[36,41],[39,44]], [[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14],[15,16,17,18,19,20,21,22,23,24,25,26,27,28,29],[30,31,32,33,34,35,36,37,38,39,40,41,42,43,44]] Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 5 8 12 0 1 2 4 6 9 10 Design No 7 Group Size 15 BF5237BA 5F1BE1E6 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 5 9 12 0 1 2 5 6 8 10 Design No 8 Group Size 15 4BC8720F F923B433 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 5 11 12 0 1 3 5 8 9 11 Design No 9 Group Size 15 942A9BCB 45DBBD31 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 5 11 12 0 1 4 6 8 9 13 Design No 10 Group Size 15 70AF418D 46C71C38 Block Intersection Formula {(2)^5 (3)^16 (4)^7 (5)^1 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 6 8 12 0 1 2 4 9 11 12 Design No 11 Group Size 15 F104D2B8 9212B4FF Block Intersection Formula {(2)^4 (3)^19 (4)^4 (5)^2 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 3 6 8 12 0 1 2 5 6 8 13 Design No 12 Group Size 660602880 3DF1A0AC C12D1C34 Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[19,34]], [[18,33]], [[24,39]], [[17,32]], [[21,36]], [[23,38]], [[27,42]], [[16,31]], [[20,35]], [[25,40]], [[22,37]], [[28,43]], [[26,41]], [[29,44]], [[15,30]], [[3,6],[7,12],[9,11],[13,14],[18,19],[20,25],[21,23],[26,29],[33,34],[35,40],[36,38],[41,44]], [[3,7],[6,12],[9,14],[11,13],[16,27],[20,25],[21,23],[22,28],[31,42],[35,40],[36,38],[37,43]], [[3,9],[6,11],[7,14],[12,13],[17,24],[18,19],[20,25],[22,28],[32,39],[33,34],[35,40],[37,43]], [[2,3],[5,9],[7,10],[8,14],[15,29],[18,24],[22,25],[23,27],[30,44],[33,39],[37,40],[38,42]], [[1,2],[4,8],[6,9],[7,13],[17,23],[21,24],[22,26],[28,29],[32,38],[36,39],[37,41],[43,44]], [[0,1],[5,8],[9,14],[11,13],[16,28],[20,21],[22,27],[23,25],[31,43],[35,36],[37,42],[38,40]] Block Intersection Formula {(3)^28 (7)^2 }^30 Initial Blocks, modulo 15: 0 1 2 4 5 8 10 0 1 2 4 5 8 10 Design No 13 Group Size 120 1C0978B0 EDE14DAA 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],[16,17,19,23],[18,21,27,24],[20,25],[22,29,28,26],[30,32,36,44],[31,34,40,37],[33,38],[35,42,41,39]], [[1,7,4,13],[2,14,8,11],[3,6,12,9],[15,43],[16,35,19,41],[17,42,23,39],[18,34,27,37],[20,33],[21,40,24,31],[22,32,28,44],[25,38],[26,30,29,36]], [[0,1],[2,14],[3,13],[4,12],[5,11],[6,10],[7,9],[15,44],[16,43],[17,42],[18,41],[19,40],[20,39],[21,38],[22,37],[23,36],[24,35],[25,34],[26,33],[27,32],[28,31],[29,30]] Block Intersection Formula {(2)^4 (3)^19 (4)^4 (5)^2 (7)^1 }^30 Initial Blocks, modulo 15: 0 1 2 4 5 8 10 0 1 2 7 9 12 13