1x1: max count 0  concentration 0 = 0.0000  
1x2: max count 0  concentration 0 = 0.0000  
1x3: max count 0  concentration 0 = 0.0000  
1x4: max count 6  concentration 3/2 = 1.5000  
1x5: max count 6  concentration 6/5 = 1.2000  
1x6: max count 6  concentration 1 = 1.0000  
1x7: max count 6  concentration 6/7 = 0.8571  
1x8: max count 12  concentration 3/2 = 1.5000  
1x9: max count 12  concentration 4/3 = 1.3333  
1x10: max count 12  concentration 6/5 = 1.2000  
1x11: max count 12  concentration 12/11 = 1.0909  
1x12: max count 18  concentration 3/2 = 1.5000  
1x13: max count 18  concentration 18/13 = 1.3846  
1x14: max count 18  concentration 9/7 = 1.2857  
1x15: max count 18  concentration 6/5 = 1.2000  
1x16: max count 24  concentration 3/2 = 1.5000  
1x17: max count 24  concentration 24/17 = 1.4118  
1x18: max count 24  concentration 4/3 = 1.3333  
1x19: max count 24  concentration 24/19 = 1.2632  
1x20: max count 30  concentration 3/2 = 1.5000  
1x21: max count 30  concentration 10/7 = 1.4286  
1x22: max count 30  concentration 15/11 = 1.3636  
1x23: max count 30  concentration 30/23 = 1.3043  
1x24: max count 36  concentration 3/2 = 1.5000  
1x25: max count 36  concentration 36/25 = 1.4400  
2x2: max count 0  concentration 0 = 0.0000  
2x3: max count 4  concentration 2/3 = 0.6667  
2x4: max count 12  concentration 3/2 = 1.5000  
2x5: max count 12  concentration 6/5 = 1.2000  
2x6: max count 12  concentration 1 = 1.0000  
2x7: max count 16  concentration 8/7 = 1.1429  
2x8: max count 24  concentration 3/2 = 1.5000  
2x9: max count 24  concentration 4/3 = 1.3333  
2x10: max count 24  concentration 6/5 = 1.2000  
2x11: max count 28  concentration 14/11 = 1.2727  
2x12: max count 36  concentration 3/2 = 1.5000  
3x3: max count 0  concentration 0 = 0.0000  
3x4: max count 18  concentration 3/2 = 1.5000  
3x5: max count 18  concentration 6/5 = 1.2000  
3x6: max count 18  concentration 1 = 1.0000  
3x7: max count 22  concentration 22/21 = 1.0476  
3x8: max count 36  concentration 3/2 = 1.5000  
4x4: max count 24  concentration 3/2 = 1.5000  
4x5: max count 30  concentration 3/2 = 1.5000  
4x6: max count 36  concentration 3/2 = 1.5000  
5x5: max count 40  concentration 8/5 = 1.6000  = 8/5
largest concentration found: 8/5
