Design No 1 Group Size 13 25EE81D2 F4137E7E Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 2 0 2 6 0 3 7 0 3 8 Design No 2 Group Size 39 C4E6DF50 3DABE9A9 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],[13,39,57],[14,42,53],[15,45,62],[16,48,58],[17,51,54],[18,41,63],[19,44,59],[20,47,55],[21,50,64],[22,40,60],[23,43,56],[24,46,52],[25,49,61],[26,32,37],[27,35,33],[28,38,29],[30,31,34]], [[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],[39,40,41,42,43,44,45,46,47,48,49,50,51],[52,53,54,55,56,57,58,59,60,61,62,63,64]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 2 0 2 7 0 3 6 0 4 8 Design No 3 Group Size 13 E06A2857 1A40B6CE Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 0 1 5 0 2 7 0 3 7 Design No 4 Group Size 13 59987786 8C09B7E6 Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 0 1 5 0 2 7 0 3 9 Design No 5 Group Size 39 53F059D4 74E0F888 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],[13,52,26],[14,55,35],[15,58,31],[16,61,27],[17,64,36],[18,54,32],[19,57,28],[20,60,37],[21,63,33],[22,53,29],[23,56,38],[24,59,34],[25,62,30],[39,45,50],[40,48,46],[41,51,42],[43,44,47]], [[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],[39,40,41,42,43,44,45,46,47,48,49,50,51],[52,53,54,55,56,57,58,59,60,61,62,63,64]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 0 1 9 0 2 7 0 3 9 Design No 6 Group Size 5616 F8737CED 7F762852 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],[14,27],[15,28],[16,59],[17,36],[18,37],[20,43],[21,61],[22,34],[23,30],[24,57],[25,39],[29,47],[31,63],[33,55],[35,48],[44,50],[45,51],[46,58],[49,60],[56,62]], [[2,4,10],[5,6,8],[7,11,12],[14,53,27],[15,16,47],[17,36,64],[19,21,61],[20,54,43],[22,46,48],[23,25,56],[24,51,63],[28,29,59],[30,62,39],[31,45,57],[32,60,49],[33,42,55],[34,35,58],[38,44,50]], [[2,5],[4,8],[6,10],[7,12],[14,57],[16,47],[17,64],[18,41],[19,22],[20,43],[21,48],[23,50],[24,63],[25,44],[27,31],[28,42],[29,33],[30,39],[32,49],[35,58],[38,56],[45,53],[46,61],[55,59]], [[3,9],[4,10],[5,6],[7,11],[13,26],[14,27],[15,58],[16,35],[17,36],[19,42],[20,60],[21,33],[22,29],[23,56],[24,51],[28,46],[30,62],[32,54],[34,47],[43,49],[44,50],[45,57],[48,59],[55,61]], [[1,2],[3,8],[6,11],[9,12],[13,39],[15,57],[16,60],[18,42],[19,37],[20,59],[21,55],[23,62],[24,58],[25,26],[28,45],[29,34],[31,54],[32,63],[35,49],[38,52],[40,64],[41,53],[43,48],[46,51]], [[0,1],[4,8],[6,7],[10,12],[14,39],[16,33],[17,18],[20,43],[21,48],[23,24],[25,27],[29,47],[30,57],[31,44],[35,61],[36,37],[38,53],[40,52],[41,64],[45,56],[46,58],[50,63],[51,62],[55,59]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 3 0 1 9 0 2 8 0 3 9 Design No 7 Group Size 2617245696 C4EAE31A 1065CC3A Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[19,32]], [[20,33]], [[48,61]], [[21,34]], [[42,55]], [[44,57]], [[18,31]], [[24,37]], [[15,28]], [[47,60]], [[49,62]], [[43,56]], [[16,29]], [[17,30]], [[41,54]], [[23,36]], [[51,64]], [[40,53]], [[46,59]], [[14,27]], [[25,38]], [[45,58]], [[22,35]], [[50,63]], [[39,52]], [[13,26]], [[1,3,9],[2,6,5],[4,12,10],[7,8,11],[13,25,22],[14,15,18],[16,21,23],[17,24,19],[26,38,35],[27,28,31],[29,34,36],[30,37,32],[39,45,50],[40,48,46],[41,51,42],[43,44,47],[52,58,63],[53,61,59],[54,64,55],[56,57,60]], [[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],[39,40,41,42,43,44,45,46,47,48,49,50,51],[52,53,54,55,56,57,58,59,60,61,62,63,64]] Block Intersection Formula {(0)^20 (1)^30 (3)^2 }^52 Initial Blocks, modulo 13: 0 1 4 0 1 4 0 2 7 0 2 7 Design No 8 Group Size 319488 02CA50F8 1AC43DAC Group generators Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable [[21,34]], [[19,32]], [[20,33]], [[18,31]], [[24,37]], [[15,28]], [[16,29]], [[17,30]], [[23,36]], [[14,27]], [[22,35]], [[25,38]], [[13,26]], [[1,3,9],[2,6,5],[4,12,10],[7,8,11],[13,25,22],[14,15,18],[16,21,23],[17,24,19],[26,38,35],[27,28,31],[29,34,36],[30,37,32],[39,45,50],[40,48,46],[41,51,42],[43,44,47],[52,63,57],[54,56,62],[55,59,58],[60,61,64]], [[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],[39,40,41,42,43,44,45,46,47,48,49,50,51],[52,53,54,55,56,57,58,59,60,61,62,63,64]] Block Intersection Formula {(0)^20 (1)^30 (3)^2 }^26 {(0)^21 (1)^27 (2)^3 (3)^1 }^26 Initial Blocks, modulo 13: 0 1 4 0 1 4 0 2 7 0 2 8 Design No 9 Group Size 156 415370DE 670E30A2 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],[13,52,29,45,25,63,38,50,22,57,26,39],[14,54,33,40,15,56,37,48,18,62,36,46],[16,58,28,43,21,55,35,44,23,59,30,47],[17,60,32,51,24,61,34,42,19,64,27,41],[20,53,31,49]], [[0,1],[2,12],[3,11],[4,10],[5,9],[6,8],[13,26],[14,38],[15,37],[16,36],[17,35],[18,34],[19,33],[20,32],[21,31],[22,30],[23,29],[24,28],[25,27],[39,64],[40,63],[41,62],[42,61],[43,60],[44,59],[45,58],[46,57],[47,56],[48,55],[49,54],[50,53],[51,52]] Block Intersection Formula {(0)^21 (1)^27 (2)^3 (3)^1 }^52 Initial Blocks, modulo 13: 0 1 4 0 1 10 0 2 7 0 2 8