Design No 1 Group Size 13 B1749A41 D5A940B6
Block Intersection Formula 
{(0)^6 (1)^20 (2)^12 (4)^1 }^39 
Initial Blocks, modulo 13:
0 1 2 5 
0 1 3 8 
0 2 6 9 

Design No 2 Group Size 13 E205A348 3EE19FE2
Block Intersection Formula 
{(0)^5 (1)^23 (2)^9 (3)^1 (4)^1 }^26 
{(0)^4 (1)^26 (2)^6 (3)^2 (4)^1 }^13 
Initial Blocks, modulo 13:
0 1 2 6 
0 1 3 6 
0 2 5 9 

Design No 3 Group Size 13 F33C323A 64B6F9DD
Block Intersection Formula 
{(0)^6 (1)^20 (2)^12 (4)^1 }^39 
Initial Blocks, modulo 13:
0 1 2 6 
0 1 4 10 
0 2 5 7 

Design No 4 Group Size 39 FAF68823 EBB91F0C
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],[13,31,39],[14,34,48],[15,37,44],[16,27,40],[17,30,49],[18,33,45],[19,36,41],[20,26,50],[21,29,46],[22,32,42],[23,35,51],[24,38,47],[25,28,43]],
[[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]]
Block Intersection Formula 
{(0)^6 (1)^20 (2)^12 (4)^1 }^39 
Initial Blocks, modulo 13:
0 1 2 6 
0 1 8 11 
0 2 5 9 

Design No 5 Group Size 0 86BDA8FB 6F0D0657
Block Intersection Formula 
{(1)^36 (4)^3 }^39 
Initial Blocks, modulo 13:
0 1 3 9 
0 1 3 9 
0 1 3 9 

Design No 6 Group Size 319488 AA3FADDF 918CD3A2
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[16,29]],
[[21,34]],
[[19,32]],
[[20,33]],
[[15,28]],
[[22,35]],
[[14,27]],
[[18,31]],
[[24,37]],
[[17,30]],
[[23,36]],
[[25,38]],
[[13,26]],
[[1,3,9],[2,6,5],[4,12,10],[7,8,11],[14,16,22],[15,19,18],[17,25,23],[20,21,24],[27,29,35],[28,32,31],[30,38,36],[33,34,37],[39,51,48],[40,41,44],[42,47,49],[43,50,45]],
[[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]]
Block Intersection Formula 
{(0)^3 (1)^28 (2)^6 (4)^2 }^26 
{(0)^6 (1)^20 (2)^12 (4)^1 }^13 
Initial Blocks, modulo 13:
0 1 3 9 
0 1 3 9 
0 1 4 6 

Design No 7 Group Size 319488 0ED91851 F94D75A2
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[15,28]],
[[21,34]],
[[22,35]],
[[20,33]],
[[16,29]],
[[19,32]],
[[24,37]],
[[18,31]],
[[14,27]],
[[23,36]],
[[17,30]],
[[25,38]],
[[13,26]],
[[1,3,9],[2,6,5],[4,12,10],[7,8,11],[14,16,22],[15,19,18],[17,25,23],[20,21,24],[27,29,35],[28,32,31],[30,38,36],[33,34,37],[39,41,47],[40,44,43],[42,50,48],[45,46,49]],
[[0,1,4],[2,7,9],[3,10,5],[8,12,11],[13,14,17],[15,20,22],[16,23,18],[21,25,24],[26,27,30],[28,33,35],[29,36,31],[34,38,37],[39,42,51],[40,45,47],[41,48,43],[46,50,49]]
Block Intersection Formula 
{(0)^3 (1)^28 (2)^6 (4)^2 }^26 
{(0)^6 (1)^20 (2)^12 (4)^1 }^13 
Initial Blocks, modulo 13:
0 1 3 9 
0 1 3 9 
0 1 5 11 

Design No 8 Group Size 319488 56C76978 2FAEF627
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[20,33]],
[[21,34]],
[[22,35]],
[[15,28]],
[[16,29]],
[[19,32]],
[[18,31]],
[[14,27]],
[[24,37]],
[[25,38]],
[[23,36]],
[[17,30]],
[[13,26]],
[[1,3,9],[2,6,5],[4,12,10],[7,8,11],[14,16,22],[15,19,18],[17,25,23],[20,21,24],[27,29,35],[28,32,31],[30,38,36],[33,34,37],[39,42,51],[40,45,47],[41,48,43],[46,50,49]],
[[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]]
Block Intersection Formula 
{(0)^3 (1)^28 (2)^6 (4)^2 }^26 
{(0)^6 (1)^20 (2)^12 (4)^1 }^13 
Initial Blocks, modulo 13:
0 1 3 9 
0 1 3 9 
0 1 8 10 

Design No 9 Group Size 39 717DD009 F43BC4DB
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],[14,16,22],[15,19,18],[17,25,23],[20,21,24],[26,38,35],[27,28,31],[29,34,36],[30,37,32],[39,41,47],[40,44,43],[42,50,48],[45,46,49]],
[[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]]
Block Intersection Formula 
{(0)^6 (1)^20 (2)^12 (4)^1 }^39 
Initial Blocks, modulo 13:
0 1 3 9 
0 1 4 6 
0 1 5 11 

Design No 10 Group Size 156 F693F5A2 9A75B8A5
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],[13,39,38,23,46,26,25,50,34,15,43,33],[14,41,29,18,49,32,24,48,30,20,40,27],[16,45,37,21,42,31,22,44,35,17,47,28],[19,51,36]],
[[0,1],[2,12],[3,11],[4,10],[5,9],[6,8],[14,25],[15,24],[16,23],[17,22],[18,21],[19,20],[26,34],[27,33],[28,32],[29,31],[35,38],[36,37],[39,51],[40,50],[41,49],[42,48],[43,47],[44,46]]
Block Intersection Formula 
{(0)^6 (1)^20 (2)^12 (4)^1 }^39 
Initial Blocks, modulo 13:
0 1 3 11 
0 1 5 6 
0 2 6 9