Resolved Design No 1 Group Size 57 D07238DF A0F52015
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,11,7],[2,3,14],[4,6,9],[5,17,16],[8,12,18],[10,15,13],[19,33,50],[20,31,51],[21,32,49],[22,66,71],[23,64,72],[24,65,70],[25,42,35],[26,40,36],[27,41,34],[28,75,56],[29,73,57],[30,74,55],[37,60,62],[38,58,63],[39,59,61],[43,69,47],[44,67,48],[45,68,46],[52,54,53],[76,80,86],[77,91,93],[78,83,81],[79,94,88],[82,89,90],[84,92,85]],
[[0,1,8],[2,15,11],[4,10,14],[5,17,6],[7,12,9],[13,16,18],[19,53,57],[20,54,55],[21,52,56],[22,74,33],[23,75,31],[24,73,32],[25,38,66],[26,39,64],[27,37,65],[28,59,42],[29,60,40],[30,58,41],[34,44,51],[35,45,49],[36,43,50],[46,71,69],[47,72,67],[48,70,68],[61,62,63],[76,87,88],[77,94,80],[78,82,91],[79,89,83],[81,84,86],[85,93,92]]
Block Intersection Formula 
{(0)^2 (1)^16 (2)^30 (3)^6 (4)^2 (6)^1 }^57 
Initial Blocks, modulo 19:
0 1 2 3 6 12 
4 9 11 13 16 17 
5 7 10 14 15 18 

Resolved Design No 2 Group Size 19 86F619D3 2BC1DBDF
Block Intersection Formula 
{(0)^3 (1)^14 (2)^30 (3)^8 (4)^1 (6)^1 }^38 
{(0)^2 (1)^16 (2)^30 (3)^6 (4)^2 (6)^1 }^19 
Initial Blocks, modulo 19:
0 1 2 3 7 11 
4 8 10 13 15 16 
5 9 12 14 17 18 

Resolved Design No 3 Group Size 171 E3281581 C9E840CF
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,11,7],[2,3,14],[4,6,9],[5,17,16],[8,12,18],[10,15,13],[19,73,40],[20,74,41],[21,75,42],[22,49,61],[23,50,62],[24,51,63],[28,58,46],[29,59,47],[30,60,48],[31,34,67],[32,35,68],[33,36,69],[37,43,52],[38,44,53],[39,45,54],[55,70,64],[56,71,65],[57,72,66],[76,94,83],[77,86,90],[79,89,85],[80,81,92],[82,84,87],[88,93,91]],
[[1,4,16,7,9,17,11,6,5],[2,8,13,14,18,15,3,12,10],[19,59,45,40,29,39,73,47,54],[20,60,43,41,30,37,74,48,52],[21,58,44,42,28,38,75,46,53],[22,71,36,61,56,33,49,65,69],[23,72,34,62,57,31,50,66,67],[24,70,35,63,55,32,51,64,68],[25,26,27],[76,89,84,83,79,82,94,85,87],[77,93,81,90,88,80,86,91,92]],
[[0,1,10,15,3,9,6,17,2],[4,18,11,5,8,16,12,14,13],[19,32,27,28,56,72,34,53,45],[20,33,25,29,57,70,35,54,43],[21,31,26,30,55,71,36,52,44],[22,59,42,49,74,63,67,65,39],[23,60,40,50,75,61,68,66,37],[24,58,41,51,73,62,69,64,38],[46,47,48],[76,80,78,79,88,93,81,87,84],[77,89,83,86,94,90,92,91,82]]
Block Intersection Formula 
{(0)^2 (1)^18 (2)^24 (3)^12 (6)^1 }^57 
Initial Blocks, modulo 19:
0 1 2 4 7 12 
3 6 10 14 15 16 
5 8 9 11 13 18 

Resolved Design No 4 Group Size 57 FD8BD5BB 5D311826
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,11,7],[2,3,14],[4,6,9],[5,17,16],[8,12,18],[10,15,13],[19,60,32],[20,58,33],[21,59,31],[22,36,53],[23,34,54],[24,35,52],[25,69,74],[26,67,75],[27,68,73],[28,45,38],[29,43,39],[30,44,37],[40,63,65],[41,61,66],[42,62,64],[46,72,50],[47,70,51],[48,71,49],[55,57,56],[76,89,80],[77,81,87],[78,92,94],[79,84,82],[83,90,91],[85,93,86]],
[[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18],[19,22,25,28,31,34,37,40,43,46,49,52,55,58,61,64,67,70,73],[20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,74],[21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75],[76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94]]
Block Intersection Formula 
{(0)^2 (1)^18 (2)^24 (3)^12 (6)^1 }^57 
Initial Blocks, modulo 19:
0 1 2 4 11 14 
3 5 10 15 16 18 
6 8 9 12 13 17 

Resolved Design No 5 Group Size 19 BA3F54AC 71ECC24C
Block Intersection Formula 
{(0)^3 (1)^14 (2)^30 (3)^8 (4)^1 (6)^1 }^38 
{(0)^2 (1)^16 (2)^30 (3)^6 (4)^2 (6)^1 }^19 
Initial Blocks, modulo 19:
0 1 2 4 12 14 
3 6 7 9 13 18 
5 8 10 11 15 16 

Resolved Design No 6 Group Size 342 40EFCB62 F3B0C9C3
Group generators
Treatments are numbered first (invariants LAST therein), then blocks, then sub-blocks, if applicable, then replicates, if applicable
[[1,2,4,8,16,13,7,14,9,18,17,15,11,3,6,12,5,10],[19,71,60,34,44,63,40,56,30,31,38,51,73,65,48,67,53,24],[20,72,58,35,45,61,41,57,28,32,39,49,74,66,46,68,54,22],[21,70,59,36,43,62,42,55,29,33,37,50,75,64,47,69,52,23],[25,26,27],[76,93,89,81,84,90,83,88,79,80,82,86,94,91,85,92,87,77]],
[[0,1],[2,18],[3,17],[4,16],[5,15],[6,14],[7,13],[8,12],[9,11],[19,34],[20,35],[21,36],[22,31],[23,32],[24,33],[25,28],[26,29],[27,30],[37,73],[38,74],[39,75],[40,70],[41,71],[42,72],[43,67],[44,68],[45,69],[46,64],[47,65],[48,66],[49,61],[50,62],[51,63],[52,58],[53,59],[54,60],[76,81],[77,80],[78,79],[82,94],[83,93],[84,92],[85,91],[86,90],[87,89]]
Block Intersection Formula 
{(0)^2 (1)^18 (2)^24 (3)^12 (6)^1 }^57 
Initial Blocks, modulo 19:
0 1 3 12 14 15 
2 4 7 8 11 13 
5 6 9 10 16 18