shape 1 1 | D 2 L 3 cells 1 grids 2 directions 8
  max appearances 0 = 0.000000 per cell ; grids attaining it 2
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0
shape 1 2 | D 2 L 3 cells 2 grids 4 directions 8
  max appearances 0 = 0.000000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0
shape 1 3 | D 2 L 3 cells 3 grids 8 directions 8
  max appearances 0 = 0.000000 per cell ; grids attaining it 8
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0 0
shape 1 4 | D 2 L 3 cells 4 grids 16 directions 8
  max appearances 6 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 0 0 0
shape 1 5 | D 2 L 3 cells 5 grids 32 directions 8
  max appearances 6 = 1.200000 per cell ; grids attaining it 10
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 6 0 0 0
shape 1 6 | D 2 L 3 cells 6 grids 64 directions 8
  max appearances 6 = 1.000000 per cell ; grids attaining it 24
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 6 6 0 0 0
shape 1 7 | D 2 L 3 cells 7 grids 128 directions 8
  max appearances 6 = 0.857143 per cell ; grids attaining it 56
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 6 6 6 0 0 0
shape 1 8 | D 2 L 3 cells 8 grids 256 directions 8
  max appearances 12 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 6 6 6 0 0 0
shape 1 9 | D 2 L 3 cells 9 grids 512 directions 8
  max appearances 12 = 1.333333 per cell ; grids attaining it 18
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 12 6 6 6 0 0 0
shape 1 10 | D 2 L 3 cells 10 grids 1024 directions 8
  max appearances 12 = 1.200000 per cell ; grids attaining it 60
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 12 12 6 6 6 0 0 0
shape 1 11 | D 2 L 3 cells 11 grids 2048 directions 8
  max appearances 12 = 1.090909 per cell ; grids attaining it 176
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 12 12 12 6 6 6 0 0 0
shape 1 12 | D 2 L 3 cells 12 grids 4096 directions 8
  max appearances 18 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 12 12 12 6 6 6 0 0 0
shape 1 13 | D 2 L 3 cells 13 grids 8192 directions 8
  max appearances 18 = 1.384615 per cell ; grids attaining it 26
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 18 12 12 12 6 6 6 0 0 0
shape 1 14 | D 2 L 3 cells 14 grids 16384 directions 8
  max appearances 18 = 1.285714 per cell ; grids attaining it 112
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 15 | D 2 L 3 cells 15 grids 32768 directions 8
  max appearances 18 = 1.200000 per cell ; grids attaining it 400
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 16 | D 2 L 3 cells 16 grids 65536 directions 8
  max appearances 24 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 17 | D 2 L 3 cells 17 grids 131072 directions 8
  max appearances 24 = 1.411765 per cell ; grids attaining it 34
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 18 | D 2 L 3 cells 18 grids 262144 directions 8
  max appearances 24 = 1.333333 per cell ; grids attaining it 180
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 19 | D 2 L 3 cells 19 grids 524288 directions 8
  max appearances 24 = 1.263158 per cell ; grids attaining it 760
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 20 | D 2 L 3 cells 20 grids 1048576 directions 8
  max appearances 30 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 21 | D 2 L 3 cells 21 grids 2097152 directions 8
  max appearances 30 = 1.428571 per cell ; grids attaining it 42
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 22 | D 2 L 3 cells 22 grids 4194304 directions 8
  max appearances 30 = 1.363636 per cell ; grids attaining it 264
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 23 | D 2 L 3 cells 23 grids 8388608 directions 8
  max appearances 30 = 1.304348 per cell ; grids attaining it 1288
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 24 | D 2 L 3 cells 24 grids 16777216 directions 8
  max appearances 36 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 25 | D 2 L 3 cells 25 grids 33554432 directions 8
  max appearances 36 = 1.440000 per cell ; grids attaining it 50
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 26 | D 2 L 3 cells 26 grids 67108864 directions 8
  max appearances 36 = 1.384615 per cell ; grids attaining it 364
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 27 | D 2 L 3 cells 27 grids 134217728 directions 8
  max appearances 36 = 1.333333 per cell ; grids attaining it 2016
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 36 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 28 | D 2 L 3 cells 28 grids 268435456 directions 8
  max appearances 42 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 42 36 36 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 29 | D 2 L 3 cells 29 grids 536870912 directions 8
  max appearances 42 = 1.448276 per cell ; grids attaining it 58
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 42 42 36 36 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 1 30 | D 2 L 3 cells 30 grids 1073741824 directions 8
  max appearances 42 = 1.400000 per cell ; grids attaining it 480
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 42 42 42 36 36 36 30 30 30 24 24 24 18 18 18 12 12 12 6 6 6 0 0 0
shape 2 2 | D 2 L 3 cells 4 grids 16 directions 8
  max appearances 0 = 0.000000 per cell ; grids attaining it 16
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0 0 0
shape 2 3 | D 2 L 3 cells 6 grids 64 directions 8
  max appearances 4 = 0.666667 per cell ; grids attaining it 24
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 4 4 4 0 0 0
shape 2 4 | D 2 L 3 cells 8 grids 256 directions 8
  max appearances 12 = 1.500000 per cell ; grids attaining it 8
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 6 6 4 0 0 0
shape 2 5 | D 2 L 3 cells 10 grids 1024 directions 8
  max appearances 12 = 1.200000 per cell ; grids attaining it 30
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 12 12 6 6 4 0 0 0
shape 2 6 | D 2 L 3 cells 12 grids 4096 directions 8
  max appearances 12 = 1.000000 per cell ; grids attaining it 240
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 12 12 12 12 6 6 4 0 0 0
shape 2 7 | D 2 L 3 cells 14 grids 16384 directions 8
  max appearances 16 = 1.142857 per cell ; grids attaining it 28
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 16 16 14 12 12 12 6 6 4 0 0 0
shape 2 8 | D 2 L 3 cells 16 grids 65536 directions 8
  max appearances 24 = 1.500000 per cell ; grids attaining it 8
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 9 | D 2 L 3 cells 18 grids 262144 directions 8
  max appearances 24 = 1.333333 per cell ; grids attaining it 54
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 10 | D 2 L 3 cells 20 grids 1048576 directions 8
  max appearances 24 = 1.200000 per cell ; grids attaining it 660
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 24 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 11 | D 2 L 3 cells 22 grids 4194304 directions 8
  max appearances 28 = 1.272727 per cell ; grids attaining it 44
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 28 28 26 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 12 | D 2 L 3 cells 24 grids 16777216 directions 8
  max appearances 36 = 1.500000 per cell ; grids attaining it 8
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 30 30 28 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 13 | D 2 L 3 cells 26 grids 67108864 directions 8
  max appearances 36 = 1.384615 per cell ; grids attaining it 78
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 36 30 30 28 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 14 | D 2 L 3 cells 28 grids 268435456 directions 8
  max appearances 36 = 1.285714 per cell ; grids attaining it 1288
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 36 36 36 30 30 28 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 2 15 | D 2 L 3 cells 30 grids 1073741824 directions 8
  max appearances 40 = 1.333333 per cell ; grids attaining it 60
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 40 40 38 36 36 36 30 30 28 24 24 24 18 18 16 12 12 12 6 6 4 0 0 0
shape 3 3 | D 2 L 3 cells 9 grids 512 directions 8
  max appearances 0 = 0.000000 per cell ; grids attaining it 512
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0 0 0 0 0 0 0 0
shape 3 4 | D 2 L 3 cells 12 grids 4096 directions 8
  max appearances 18 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 12 10 8 6 4 2 0 0 0
shape 3 5 | D 2 L 3 cells 15 grids 32768 directions 8
  max appearances 18 = 1.200000 per cell ; grids attaining it 160
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 18 18 18 12 8 6 4 2 2 0 0 0
shape 3 6 | D 2 L 3 cells 18 grids 262144 directions 8
  max appearances 18 = 1.000000 per cell ; grids attaining it 6540
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 18 18 18 18 18 18 12 8 6 4 2 2 0 0 0
shape 3 7 | D 2 L 3 cells 21 grids 2097152 directions 8
  max appearances 22 = 1.047619 per cell ; grids attaining it 609
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 22 22 22 22 20 20 18 18 18 12 8 6 4 2 2 0 0 0
shape 3 8 | D 2 L 3 cells 24 grids 16777216 directions 8
  max appearances 36 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 30 28 24 22 20 20 18 18 18 12 8 6 4 2 2 0 0 0
shape 3 9 | D 2 L 3 cells 27 grids 134217728 directions 8
  max appearances 36 = 1.333333 per cell ; grids attaining it 234
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 36 36 30 26 24 22 20 20 18 18 18 12 8 6 4 2 2 0 0 0
shape 3 10 | D 2 L 3 cells 30 grids 1073741824 directions 8
  max appearances 36 = 1.200000 per cell ; grids attaining it 9330
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 1 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 6 12 18 24 30 36 36 36 36 36 36 36 30 26 24 22 20 20 18 18 18 12 8 6 4 2 2 0 0 0
shape 4 4 | D 2 L 3 cells 16 grids 65536 directions 8
  max appearances 24 = 1.500000 per cell ; grids attaining it 96
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 49 64 65 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 8 16 20 24 22 24 18 14 12 8 6 4 2 0 0 0
shape 4 5 | D 2 L 3 cells 20 grids 1048576 directions 8
  max appearances 30 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 41 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 8 16 20 24 30 28 26 24 24 20 18 14 12 8 6 4 2 0 0 0
shape 4 6 | D 2 L 3 cells 24 grids 16777216 directions 8
  max appearances 36 = 1.500000 per cell ; grids attaining it 32
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 109 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 8 16 22 28 32 36 34 32 30 30 28 24 22 20 18 14 12 8 6 4 2 0 0 0
shape 4 7 | D 2 L 3 cells 28 grids 268435456 directions 8
  max appearances 42 = 1.500000 per cell ; grids attaining it 4
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 197 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 8 16 24 30 34 36 42 40 38 36 34 32 28 28 26 24 22 20 18 14 12 8 6 4 2 0 0 0
shape 5 5 | D 2 L 3 cells 25 grids 33554432 directions 8
  max appearances 40 = 1.600000 per cell ; grids attaining it 10
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 286 10 1 10
  gap inequality: violations 0, equalities 10, grids with all windows extremal 10
  best by a: 0 8 16 24 32 40 36 34 32 30 30 28 26 24 20 18 16 12 10 6 4 2 2 0 0 0
shape 5 6 | D 2 L 3 cells 30 grids 1073741824 directions 8
  max appearances 42 = 1.400000 per cell ; grids attaining it 240
  violations of ct<=8a, 7ct<=12n-4a, 5ct<=12(n-a), 5ct<=8n : 0 0 0 0
  equalities in the four bounds                            : 421 0 1 0
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 8 16 24 32 38 42 42 40 40 40 38 36 36 32 30 28 26 24 20 18 16 12 10 6 4 2 2 0 0 0
shape 1 1 1 | D 3 L 2 cells 1 grids 2 directions 26
  max appearances 0 = 0.000000 per cell ; grids attaining it 2
  6n = 6 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0
shape 1 1 2 | D 3 L 2 cells 2 grids 4 directions 26
  max appearances 0 = 0.000000 per cell ; grids attaining it 4
  6n = 12 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0
shape 1 1 3 | D 3 L 2 cells 3 grids 8 directions 26
  max appearances 18 = 6.000000 per cell ; grids attaining it 3
  6n = 18 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 0 0
shape 1 1 4 | D 3 L 2 cells 4 grids 16 directions 26
  max appearances 18 = 4.500000 per cell ; grids attaining it 8
  6n = 24 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 18 0 0
shape 1 1 5 | D 3 L 2 cells 5 grids 32 directions 26
  max appearances 18 = 3.600000 per cell ; grids attaining it 20
  6n = 30 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 18 18 0 0
shape 1 1 6 | D 3 L 2 cells 6 grids 64 directions 26
  max appearances 36 = 6.000000 per cell ; grids attaining it 3
  6n = 36 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 18 18 0 0
shape 1 1 7 | D 3 L 2 cells 7 grids 128 directions 26
  max appearances 36 = 5.142857 per cell ; grids attaining it 14
  6n = 42 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 36 18 18 0 0
shape 1 1 8 | D 3 L 2 cells 8 grids 256 directions 26
  max appearances 36 = 4.500000 per cell ; grids attaining it 48
  6n = 48 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 36 36 18 18 0 0
shape 1 1 9 | D 3 L 2 cells 9 grids 512 directions 26
  max appearances 54 = 6.000000 per cell ; grids attaining it 3
  6n = 54 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 36 36 18 18 0 0
shape 1 1 10 | D 3 L 2 cells 10 grids 1024 directions 26
  max appearances 54 = 5.400000 per cell ; grids attaining it 20
  6n = 60 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 54 36 36 18 18 0 0
shape 1 1 11 | D 3 L 2 cells 11 grids 2048 directions 26
  max appearances 54 = 4.909091 per cell ; grids attaining it 88
  6n = 66 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 54 54 36 36 18 18 0 0
shape 1 1 12 | D 3 L 2 cells 12 grids 4096 directions 26
  max appearances 72 = 6.000000 per cell ; grids attaining it 3
  6n = 72 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 54 54 36 36 18 18 0 0
shape 1 1 13 | D 3 L 2 cells 13 grids 8192 directions 26
  max appearances 72 = 5.538462 per cell ; grids attaining it 26
  6n = 78 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 72 54 54 36 36 18 18 0 0
shape 1 1 14 | D 3 L 2 cells 14 grids 16384 directions 26
  max appearances 72 = 5.142857 per cell ; grids attaining it 140
  6n = 84 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 72 72 54 54 36 36 18 18 0 0
shape 1 1 15 | D 3 L 2 cells 15 grids 32768 directions 26
  max appearances 90 = 6.000000 per cell ; grids attaining it 3
  6n = 90 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 16 | D 3 L 2 cells 16 grids 65536 directions 26
  max appearances 90 = 5.625000 per cell ; grids attaining it 32
  6n = 96 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 17 | D 3 L 2 cells 17 grids 131072 directions 26
  max appearances 90 = 5.294118 per cell ; grids attaining it 204
  6n = 102 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 18 | D 3 L 2 cells 18 grids 262144 directions 26
  max appearances 108 = 6.000000 per cell ; grids attaining it 3
  6n = 108 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 19 | D 3 L 2 cells 19 grids 524288 directions 26
  max appearances 108 = 5.684211 per cell ; grids attaining it 38
  6n = 114 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 20 | D 3 L 2 cells 20 grids 1048576 directions 26
  max appearances 108 = 5.400000 per cell ; grids attaining it 280
  6n = 120 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 21 | D 3 L 2 cells 21 grids 2097152 directions 26
  max appearances 126 = 6.000000 per cell ; grids attaining it 3
  6n = 126 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 22 | D 3 L 2 cells 22 grids 4194304 directions 26
  max appearances 126 = 5.727273 per cell ; grids attaining it 44
  6n = 132 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 23 | D 3 L 2 cells 23 grids 8388608 directions 26
  max appearances 126 = 5.478261 per cell ; grids attaining it 368
  6n = 138 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 24 | D 3 L 2 cells 24 grids 16777216 directions 26
  max appearances 144 = 6.000000 per cell ; grids attaining it 3
  6n = 144 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 126 144 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 25 | D 3 L 2 cells 25 grids 33554432 directions 26
  max appearances 144 = 5.760000 per cell ; grids attaining it 50
  6n = 150 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 144 144 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 26 | D 3 L 2 cells 26 grids 67108864 directions 26
  max appearances 144 = 5.538462 per cell ; grids attaining it 468
  6n = 156 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 144 144 144 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 27 | D 3 L 2 cells 27 grids 134217728 directions 26
  max appearances 162 = 6.000000 per cell ; grids attaining it 3
  6n = 162 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 126 144 162 144 144 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 1 28 | D 3 L 2 cells 28 grids 268435456 directions 26
  max appearances 162 = 5.785714 per cell ; grids attaining it 56
  6n = 168 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 144 162 162 144 144 126 126 108 108 90 90 72 72 54 54 36 36 18 18 0 0
shape 1 2 2 | D 3 L 2 cells 4 grids 16 directions 26
  max appearances 0 = 0.000000 per cell ; grids attaining it 16
  6n = 24 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0 0 0
shape 1 2 3 | D 3 L 2 cells 6 grids 64 directions 26
  max appearances 36 = 6.000000 per cell ; grids attaining it 3
  6n = 36 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 18 12 0 0
shape 1 2 4 | D 3 L 2 cells 8 grids 256 directions 26
  max appearances 36 = 4.500000 per cell ; grids attaining it 56
  6n = 48 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 36 36 18 12 0 0
shape 1 2 5 | D 3 L 2 cells 10 grids 1024 directions 26
  max appearances 48 = 4.800000 per cell ; grids attaining it 20
  6n = 60 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 48 48 36 36 18 12 0 0
shape 1 2 6 | D 3 L 2 cells 12 grids 4096 directions 26
  max appearances 72 = 6.000000 per cell ; grids attaining it 3
  6n = 72 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 54 48 36 36 18 12 0 0
shape 1 2 7 | D 3 L 2 cells 14 grids 16384 directions 26
  max appearances 72 = 5.142857 per cell ; grids attaining it 56
  6n = 84 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 72 72 54 48 36 36 18 12 0 0
shape 1 2 8 | D 3 L 2 cells 16 grids 65536 directions 26
  max appearances 72 = 4.500000 per cell ; grids attaining it 1000
  6n = 96 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 72 72 72 72 54 48 36 36 18 12 0 0
shape 1 2 9 | D 3 L 2 cells 18 grids 262144 directions 26
  max appearances 108 = 6.000000 per cell ; grids attaining it 3
  6n = 108 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 90 84 72 72 54 48 36 36 18 12 0 0
shape 1 2 10 | D 3 L 2 cells 20 grids 1048576 directions 26
  max appearances 108 = 5.400000 per cell ; grids attaining it 80
  6n = 120 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 108 108 90 84 72 72 54 48 36 36 18 12 0 0
shape 1 2 11 | D 3 L 2 cells 22 grids 4194304 directions 26
  max appearances 108 = 4.909091 per cell ; grids attaining it 1496
  6n = 132 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 108 108 108 108 90 84 72 72 54 48 36 36 18 12 0 0
shape 1 2 12 | D 3 L 2 cells 24 grids 16777216 directions 26
  max appearances 144 = 6.000000 per cell ; grids attaining it 3
  6n = 144 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 126 144 126 120 108 108 90 84 72 72 54 48 36 36 18 12 0 0
shape 1 2 13 | D 3 L 2 cells 26 grids 67108864 directions 26
  max appearances 144 = 5.538462 per cell ; grids attaining it 104
  6n = 156 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 144 144 144 126 120 108 108 90 84 72 72 54 48 36 36 18 12 0 0
shape 1 2 14 | D 3 L 2 cells 28 grids 268435456 directions 26
  max appearances 144 = 5.142857 per cell ; grids attaining it 2296
  6n = 168 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 144 144 144 144 144 126 120 108 108 90 84 72 72 54 48 36 36 18 12 0 0
shape 1 3 3 | D 3 L 2 cells 9 grids 512 directions 26
  max appearances 54 = 6.000000 per cell ; grids attaining it 12
  6n = 54 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 12, grids with all windows extremal 12
  best by a: 0 24 36 54 42 36 18 6 0 0
shape 1 3 4 | D 3 L 2 cells 12 grids 4096 directions 26
  max appearances 72 = 6.000000 per cell ; grids attaining it 3
  6n = 72 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 24 42 54 72 60 54 42 36 18 6 0 0
shape 1 3 5 | D 3 L 2 cells 15 grids 32768 directions 26
  max appearances 90 = 6.000000 per cell ; grids attaining it 3
  6n = 90 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 24 42 60 72 90 78 72 60 54 42 36 18 6 0 0
shape 1 3 6 | D 3 L 2 cells 18 grids 262144 directions 26
  max appearances 108 = 6.000000 per cell ; grids attaining it 12
  6n = 108 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 12, grids with all windows extremal 12
  best by a: 0 24 48 60 78 90 108 96 90 78 72 60 54 42 36 18 6 0 0
shape 1 3 7 | D 3 L 2 cells 21 grids 2097152 directions 26
  max appearances 126 = 6.000000 per cell ; grids attaining it 3
  6n = 126 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 24 48 66 78 96 108 126 114 108 96 90 78 72 60 54 42 36 18 6 0 0
shape 1 3 8 | D 3 L 2 cells 24 grids 16777216 directions 26
  max appearances 144 = 6.000000 per cell ; grids attaining it 3
  6n = 144 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 24 48 66 84 96 114 126 144 132 126 114 108 96 90 78 72 60 54 42 36 18 6 0 0
shape 1 3 9 | D 3 L 2 cells 27 grids 134217728 directions 26
  max appearances 162 = 6.000000 per cell ; grids attaining it 12
  6n = 162 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 12, grids with all windows extremal 12
  best by a: 0 24 48 72 84 102 114 132 144 162 150 144 132 126 114 108 96 90 78 72 60 54 42 36 18 6 0 0
shape 1 4 4 | D 3 L 2 cells 16 grids 65536 directions 26
  max appearances 84 = 5.250000 per cell ; grids attaining it 432
  6n = 96 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 24 48 66 84 84 84 78 72 66 54 42 36 18 6 0 0
shape 1 4 5 | D 3 L 2 cells 20 grids 1048576 directions 26
  max appearances 108 = 5.400000 per cell ; grids attaining it 380
  6n = 120 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 24 48 72 90 102 108 108 108 96 90 84 78 66 54 42 36 18 6 0 0
shape 1 4 6 | D 3 L 2 cells 24 grids 16777216 directions 26
  max appearances 144 = 6.000000 per cell ; grids attaining it 3
  6n = 144 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 24 48 72 96 108 120 126 144 132 126 114 108 96 90 84 78 66 54 42 36 18 6 0 0
shape 1 4 7 | D 3 L 2 cells 28 grids 268435456 directions 26
  max appearances 156 = 5.571429 per cell ; grids attaining it 56
  6n = 168 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 24 48 72 96 114 126 138 144 150 156 150 144 138 132 120 108 102 90 84 78 66 54 42 36 18 6 0 0
shape 1 5 5 | D 3 L 2 cells 25 grids 33554432 directions 26
  max appearances 120 = 4.800000 per cell ; grids attaining it 11905
  6n = 150 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 24 48 72 96 120 120 120 120 120 120 114 114 108 96 90 84 78 66 54 42 36 18 6 0 0
shape 2 2 2 | D 3 L 2 cells 8 grids 256 directions 26
  max appearances 0 = 0.000000 per cell ; grids attaining it 256
  6n = 48 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 0 0 0 0 0 0 0 0
shape 2 2 3 | D 3 L 2 cells 12 grids 4096 directions 26
  max appearances 72 = 6.000000 per cell ; grids attaining it 3
  6n = 72 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 54 44 34 28 16 8 0 0
shape 2 2 4 | D 3 L 2 cells 16 grids 65536 directions 26
  max appearances 72 = 4.500000 per cell ; grids attaining it 2336
  6n = 96 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 72 72 72 72 54 44 30 24 12 8 0 0
shape 2 2 5 | D 3 L 2 cells 20 grids 1048576 directions 26
  max appearances 96 = 4.800000 per cell ; grids attaining it 160
  6n = 120 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 88 96 96 96 84 80 72 72 54 44 30 24 12 8 0 0
shape 2 2 6 | D 3 L 2 cells 24 grids 16777216 directions 26
  max appearances 144 = 6.000000 per cell ; grids attaining it 3
  6n = 144 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 18 36 54 72 90 108 126 144 126 116 102 96 84 80 72 72 54 44 30 24 12 8 0 0
shape 2 2 7 | D 3 L 2 cells 28 grids 268435456 directions 26
  max appearances 144 = 5.142857 per cell ; grids attaining it 560
  6n = 168 ; max <= 6n: yes ; equal to 6n: no
  gap inequality: violations 0, equalities 0, grids with all windows extremal 0
  best by a: 0 18 36 54 72 90 108 126 144 144 144 144 144 126 116 106 100 88 80 72 72 54 44 30 24 12 8 0 0
shape 2 3 3 | D 3 L 2 cells 18 grids 262144 directions 26
  max appearances 108 = 6.000000 per cell ; grids attaining it 12
  6n = 108 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 12, grids with all windows extremal 12
  best by a: 0 24 48 60 76 90 108 96 88 78 72 54 40 28 20 10 4 0 0
shape 2 3 4 | D 3 L 2 cells 24 grids 16777216 directions 26
  max appearances 144 = 6.000000 per cell ; grids attaining it 3
  6n = 144 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 3, grids with all windows extremal 3
  best by a: 0 24 48 66 84 96 112 126 144 132 124 114 108 96 88 78 72 54 40 28 20 10 4 0 0
shape 3 3 3 | D 3 L 2 cells 27 grids 134217728 directions 26
  max appearances 162 = 6.000000 per cell ; grids attaining it 39
  6n = 162 ; max <= 6n: yes ; equal to 6n: yes
  gap inequality: violations 0, equalities 39, grids with all windows extremal 39
  best by a: 0 26 48 72 86 102 114 128 144 162 152 144 132 122 114 108 92 78 72 56 42 30 20 12 6 2 0 0
