Dice: [4, 4]
2: 1/1
3: 15/16
4: 13/16
5: 5/8
6: 3/8
7: 3/16
8: 1/16

Dice: [4, 6]
2: 1/1
3: 23/24
4: 7/8
5: 3/4
6: 7/12
7: 5/12
8: 1/4
9: 1/8
10: 1/24

Dice: [6, 6]
2: 1/1
3: 35/36
4: 11/12
5: 5/6
6: 13/18
7: 7/12
8: 5/12
9: 5/18
10: 1/6
11: 1/12
12: 1/36

Dice: [4, 8]
2: 1/1
3: 31/32
4: 29/32
5: 13/16
6: 11/16
7: 9/16
8: 7/16
9: 5/16
10: 3/16
11: 3/32
12: 1/32

Dice: [6, 8]
2: 1/1
3: 47/48
4: 15/16
5: 7/8
6: 19/24
7: 11/16
8: 9/16
9: 7/16
10: 5/16
11: 5/24
12: 1/8
13: 1/16
14: 1/48

Dice: [8, 8]
2: 1/1
3: 63/64
4: 61/64
5: 29/32
6: 27/32
7: 49/64
8: 43/64
9: 9/16
10: 7/16
11: 21/64
12: 15/64
13: 5/32
14: 3/32
15: 3/64
16: 1/64

Dice: [4, 12]
2: 1/1
3: 47/48
4: 15/16
5: 7/8
6: 19/24
7: 17/24
8: 5/8
9: 13/24
10: 11/24
11: 3/8
12: 7/24
13: 5/24
14: 1/8
15: 1/16
16: 1/48

Dice: [6, 12]
2: 1/1
3: 71/72
4: 23/24
5: 11/12
6: 31/36
7: 19/24
8: 17/24
9: 5/8
10: 13/24
11: 11/24
12: 3/8
13: 7/24
14: 5/24
15: 5/36
16: 1/12
17: 1/24
18: 1/72

Dice: [8, 12]
2: 1/1
3: 95/96
4: 31/32
5: 15/16
6: 43/48
7: 27/32
8: 25/32
9: 17/24
10: 5/8
11: 13/24
12: 11/24
13: 3/8
14: 7/24
15: 7/32
16: 5/32
17: 5/48
18: 1/16
19: 1/32
20: 1/96

Dice: [12, 12]
2: 1/1
3: 143/144
4: 47/48
5: 23/24
6: 67/72
7: 43/48
8: 41/48
9: 29/36
10: 3/4
11: 11/16
12: 89/144
13: 13/24
14: 11/24
15: 55/144
16: 5/16
17: 1/4
18: 7/36
19: 7/48
20: 5/48
21: 5/72
22: 1/24
23: 1/48
24: 1/144

Dice: [4, 20]
2: 1/1
3: 79/80
4: 77/80
5: 37/40
6: 7/8
7: 33/40
8: 31/40
9: 29/40
10: 27/40
11: 5/8
12: 23/40
13: 21/40
14: 19/40
15: 17/40
16: 3/8
17: 13/40
18: 11/40
19: 9/40
20: 7/40
21: 1/8
22: 3/40
23: 3/80
24: 1/80

Dice: [6, 20]
2: 1/1
3: 119/120
4: 39/40
5: 19/20
6: 11/12
7: 7/8
8: 33/40
9: 31/40
10: 29/40
11: 27/40
12: 5/8
13: 23/40
14: 21/40
15: 19/40
16: 17/40
17: 3/8
18: 13/40
19: 11/40
20: 9/40
21: 7/40
22: 1/8
23: 1/12
24: 1/20
25: 1/40
26: 1/120

Dice: [8, 20]
2: 1/1
3: 159/160
4: 157/160
5: 77/80
6: 15/16
7: 29/32
8: 139/160
9: 33/40
10: 31/40
11: 29/40
12: 27/40
13: 5/8
14: 23/40
15: 21/40
16: 19/40
17: 17/40
18: 3/8
19: 13/40
20: 11/40
21: 9/40
22: 7/40
23: 21/160
24: 3/32
25: 1/16
26: 3/80
27: 3/160
28: 1/160

Dice: [12, 20]
2: 1/1
3: 239/240
4: 79/80
5: 39/40
6: 23/24
7: 15/16
8: 73/80
9: 53/60
10: 17/20
11: 13/16
12: 37/48
13: 29/40
14: 27/40
15: 5/8
16: 23/40
17: 21/40
18: 19/40
19: 17/40
20: 3/8
21: 13/40
22: 11/40
23: 11/48
24: 3/16
25: 3/20
26: 7/60
27: 7/80
28: 1/16
29: 1/24
30: 1/40
31: 1/80
32: 1/240

Dice: [20, 20]
2: 1/1
3: 399/400
4: 397/400
5: 197/200
6: 39/40
7: 77/80
8: 379/400
9: 93/100
10: 91/100
11: 71/80
12: 69/80
13: 167/200
14: 161/200
15: 309/400
16: 59/80
17: 7/10
18: 33/50
19: 247/400
20: 229/400
21: 21/40
22: 19/40
23: 171/400
24: 153/400
25: 17/50
26: 3/10
27: 21/80
28: 91/400
29: 39/200
30: 33/200
31: 11/80
32: 9/80
33: 9/100
34: 7/100
35: 21/400
36: 3/80
37: 1/40
38: 3/200
39: 3/400
40: 1/400

Dice: [4, 4, 4]
3: 1/1
4: 63/64
5: 15/16
6: 27/32
7: 11/16
8: 1/2
9: 5/16
10: 5/32
11: 1/16
12: 1/64

Dice: [4, 4, 6]
3: 1/1
4: 95/96
5: 23/24
6: 43/48
7: 19/24
8: 21/32
9: 1/2
10: 11/32
11: 5/24
12: 5/48
13: 1/24
14: 1/96

Dice: [4, 6, 6]
3: 1/1
4: 143/144
5: 35/36
6: 67/72
7: 31/36
8: 55/72
9: 23/36
10: 1/2
11: 13/36
12: 17/72
13: 5/36
14: 5/72
15: 1/36
16: 1/144

Dice: [6, 6, 6]
3: 1/1
4: 215/216
5: 53/54
6: 103/108
7: 49/54
8: 181/216
9: 20/27
10: 5/8
11: 1/2
12: 3/8
13: 7/27
14: 35/216
15: 5/54
16: 5/108
17: 1/54
18: 1/216

Dice: [4, 4, 8]
3: 1/1
4: 127/128
5: 31/32
6: 59/64
7: 27/32
8: 95/128
9: 5/8
10: 1/2
11: 3/8
12: 33/128
13: 5/32
14: 5/64
15: 1/32
16: 1/128

Dice: [4, 6, 8]
3: 1/1
4: 191/192
5: 47/48
6: 91/96
7: 43/48
8: 79/96
9: 35/48
10: 119/192
11: 1/2
12: 73/192
13: 13/48
14: 17/96
15: 5/48
16: 5/96
17: 1/48
18: 1/192

Dice: [6, 6, 8]
3: 1/1
4: 287/288
5: 71/72
6: 139/144
7: 67/72
8: 253/288
9: 29/36
10: 103/144
11: 11/18
12: 1/2
13: 7/18
14: 41/144
15: 7/36
16: 35/288
17: 5/72
18: 5/144
19: 1/72
20: 1/288

Dice: [4, 8, 8]
3: 1/1
4: 255/256
5: 63/64
6: 123/128
7: 59/64
8: 111/128
9: 51/64
10: 91/128
11: 39/64
12: 1/2
13: 25/64
14: 37/128
15: 13/64
16: 17/128
17: 5/64
18: 5/128
19: 1/64
20: 1/256

Dice: [6, 8, 8]
3: 1/1
4: 383/384
5: 95/96
6: 187/192
7: 91/96
8: 349/384
9: 41/48
10: 301/384
11: 67/96
12: 77/128
13: 1/2
14: 51/128
15: 29/96
16: 83/384
17: 7/48
18: 35/384
19: 5/96
20: 5/192
21: 1/96
22: 1/384

Dice: [8, 8, 8]
3: 1/1
4: 511/512
5: 127/128
6: 251/256
7: 123/128
8: 477/512
9: 57/64
10: 107/128
11: 49/64
12: 175/256
13: 19/32
14: 1/2
15: 13/32
16: 81/256
17: 15/64
18: 21/128
19: 7/64
20: 35/512
21: 5/128
22: 5/256
23: 1/128
24: 1/512

Dice: [4, 4, 12]
3: 1/1
4: 191/192
5: 47/48
6: 91/96
7: 43/48
8: 53/64
9: 3/4
10: 2/3
11: 7/12
12: 1/2
13: 5/12
14: 1/3
15: 1/4
16: 11/64
17: 5/48
18: 5/96
19: 1/48
20: 1/192

Dice: [4, 6, 12]
3: 1/1
4: 287/288
5: 71/72
6: 139/144
7: 67/72
8: 127/144
9: 59/72
10: 215/288
11: 2/3
12: 7/12
13: 1/2
14: 5/12
15: 1/3
16: 73/288
17: 13/72
18: 17/144
19: 5/72
20: 5/144
21: 1/72
22: 1/288

Dice: [6, 6, 12]
3: 1/1
4: 431/432
5: 107/108
6: 211/216
7: 103/108
8: 397/432
9: 47/54
10: 175/216
11: 20/27
12: 287/432
13: 7/12
14: 1/2
15: 5/12
16: 145/432
17: 7/27
18: 41/216
19: 7/54
20: 35/432
21: 5/108
22: 5/216
23: 1/108
24: 1/432

Dice: [4, 8, 12]
3: 1/1
4: 383/384
5: 95/96
6: 187/192
7: 91/96
8: 175/192
9: 83/96
10: 155/192
11: 71/96
12: 85/128
13: 7/12
14: 1/2
15: 5/12
16: 43/128
17: 25/96
18: 37/192
19: 13/96
20: 17/192
21: 5/96
22: 5/192
23: 1/96
24: 1/384

Dice: [6, 8, 12]
3: 1/1
4: 575/576
5: 143/144
6: 283/288
7: 139/144
8: 541/576
9: 65/72
10: 493/576
11: 115/144
12: 211/288
13: 95/144
14: 335/576
15: 1/2
16: 241/576
17: 49/144
18: 77/288
19: 29/144
20: 83/576
21: 7/72
22: 35/576
23: 5/144
24: 5/288
25: 1/144
26: 1/576

Dice: [8, 8, 12]
3: 1/1
4: 767/768
5: 191/192
6: 379/384
7: 187/192
8: 733/768
9: 89/96
10: 57/64
11: 27/32
12: 605/768
13: 139/192
14: 251/384
15: 37/64
16: 1/2
17: 27/64
18: 133/384
19: 53/192
20: 163/768
21: 5/32
22: 7/64
23: 7/96
24: 35/768
25: 5/192
26: 5/384
27: 1/192
28: 1/768

Dice: [4, 12, 12]
3: 1/1
4: 575/576
5: 143/144
6: 283/288
7: 139/144
8: 271/288
9: 131/144
10: 251/288
11: 119/144
12: 223/288
13: 103/144
14: 187/288
15: 83/144
16: 1/2
17: 61/144
18: 101/288
19: 41/144
20: 65/288
21: 25/144
22: 37/288
23: 13/144
24: 17/288
25: 5/144
26: 5/288
27: 1/144
28: 1/576

Dice: [6, 12, 12]
3: 1/1
4: 863/864
5: 215/216
6: 427/432
7: 211/216
8: 829/864
9: 101/108
10: 781/864
11: 187/216
12: 709/864
13: 83/108
14: 613/864
15: 139/216
16: 55/96
17: 1/2
18: 41/96
19: 77/216
20: 251/864
21: 25/108
22: 155/864
23: 29/216
24: 83/864
25: 7/108
26: 35/864
27: 5/216
28: 5/432
29: 1/216
30: 1/864

Dice: [8, 12, 12]
3: 1/1
4: 1151/1152
5: 287/288
6: 571/576
7: 283/288
8: 1117/1152
9: 137/144
10: 89/96
11: 43/48
12: 247/288
13: 13/16
14: 73/96
15: 101/144
16: 367/576
17: 41/72
18: 1/2
19: 31/72
20: 209/576
21: 43/144
22: 23/96
23: 3/16
24: 41/288
25: 5/48
26: 7/96
27: 7/144
28: 35/1152
29: 5/288
30: 5/576
31: 1/288
32: 1/1152

Dice: [12, 12, 12]
3: 1/1
4: 1727/1728
5: 431/432
6: 859/864
7: 427/432
8: 1693/1728
9: 209/216
10: 137/144
11: 67/72
12: 521/576
13: 377/432
14: 721/864
15: 341/432
16: 319/432
17: 295/432
18: 539/864
19: 9/16
20: 1/2
21: 7/16
22: 325/864
23: 137/432
24: 113/432
25: 91/432
26: 143/864
27: 55/432
28: 55/576
29: 5/72
30: 7/144
31: 7/216
32: 35/1728
33: 5/432
34: 5/864
35: 1/432
36: 1/1728

Dice: [4, 4, 20]
3: 1/1
4: 319/320
5: 79/80
6: 31/32
7: 15/16
8: 287/320
9: 17/20
10: 4/5
11: 3/4
12: 7/10
13: 13/20
14: 3/5
15: 11/20
16: 1/2
17: 9/20
18: 2/5
19: 7/20
20: 3/10
21: 1/4
22: 1/5
23: 3/20
24: 33/320
25: 1/16
26: 1/32
27: 1/80
28: 1/320

Dice: [4, 6, 20]
3: 1/1
4: 479/480
5: 119/120
6: 47/48
7: 23/24
8: 223/240
9: 107/120
10: 407/480
11: 4/5
12: 3/4
13: 7/10
14: 13/20
15: 3/5
16: 11/20
17: 1/2
18: 9/20
19: 2/5
20: 7/20
21: 3/10
22: 1/4
23: 1/5
24: 73/480
25: 13/120
26: 17/240
27: 1/24
28: 1/48
29: 1/120
30: 1/480

Dice: [6, 6, 20]
3: 1/1
4: 719/720
5: 179/180
6: 71/72
7: 35/36
8: 137/144
9: 83/90
10: 319/360
11: 38/45
12: 115/144
13: 3/4
14: 7/10
15: 13/20
16: 3/5
17: 11/20
18: 1/2
19: 9/20
20: 2/5
21: 7/20
22: 3/10
23: 1/4
24: 29/144
25: 7/45
26: 41/360
27: 7/90
28: 7/144
29: 1/36
30: 1/72
31: 1/180
32: 1/720

Dice: [4, 8, 20]
3: 1/1
4: 639/640
5: 159/160
6: 63/64
7: 31/32
8: 303/320
9: 147/160
10: 283/320
11: 27/32
12: 511/640
13: 3/4
14: 7/10
15: 13/20
16: 3/5
17: 11/20
18: 1/2
19: 9/20
20: 2/5
21: 7/20
22: 3/10
23: 1/4
24: 129/640
25: 5/32
26: 37/320
27: 13/160
28: 17/320
29: 1/32
30: 1/64
31: 1/160
32: 1/640

Dice: [6, 8, 20]
3: 1/1
4: 959/960
5: 239/240
6: 95/96
7: 47/48
8: 185/192
9: 113/120
10: 877/960
11: 211/240
12: 403/480
13: 191/240
14: 719/960
15: 7/10
16: 13/20
17: 3/5
18: 11/20
19: 1/2
20: 9/20
21: 2/5
22: 7/20
23: 3/10
24: 241/960
25: 49/240
26: 77/480
27: 29/240
28: 83/960
29: 7/120
30: 7/192
31: 1/48
32: 1/96
33: 1/240
34: 1/960

Dice: [8, 8, 20]
3: 1/1
4: 1279/1280
5: 319/320
6: 127/128
7: 63/64
8: 249/256
9: 153/160
10: 299/320
11: 29/32
12: 1117/1280
13: 267/320
14: 507/640
15: 239/320
16: 179/256
17: 13/20
18: 3/5
19: 11/20
20: 1/2
21: 9/20
22: 2/5
23: 7/20
24: 77/256
25: 81/320
26: 133/640
27: 53/320
28: 163/1280
29: 3/32
30: 21/320
31: 7/160
32: 7/256
33: 1/64
34: 1/128
35: 1/320
36: 1/1280

Dice: [4, 12, 20]
3: 1/1
4: 959/960
5: 239/240
6: 95/96
7: 47/48
8: 463/480
9: 227/240
10: 443/480
11: 43/48
12: 83/96
13: 199/240
14: 379/480
15: 179/240
16: 671/960
17: 13/20
18: 3/5
19: 11/20
20: 1/2
21: 9/20
22: 2/5
23: 7/20
24: 289/960
25: 61/240
26: 101/480
27: 41/240
28: 13/96
29: 5/48
30: 37/480
31: 13/240
32: 17/480
33: 1/48
34: 1/96
35: 1/240
36: 1/960

Dice: [6, 12, 20]
3: 1/1
4: 1439/1440
5: 359/360
6: 143/144
7: 71/72
8: 281/288
9: 173/180
10: 1357/1440
11: 331/360
12: 257/288
13: 31/36
14: 1189/1440
15: 283/360
16: 107/144
17: 251/360
18: 187/288
19: 3/5
20: 11/20
21: 1/2
22: 9/20
23: 2/5
24: 101/288
25: 109/360
26: 37/144
27: 77/360
28: 251/1440
29: 5/36
30: 31/288
31: 29/360
32: 83/1440
33: 7/180
34: 7/288
35: 1/72
36: 1/144
37: 1/360
38: 1/1440

Dice: [8, 12, 20]
3: 1/1
4: 1919/1920
5: 479/480
6: 191/192
7: 95/96
8: 377/384
9: 233/240
10: 153/160
11: 15/16
12: 439/480
13: 71/80
14: 137/160
15: 197/240
16: 1501/1920
17: 71/96
18: 667/960
19: 311/480
20: 1151/1920
21: 11/20
22: 1/2
23: 9/20
24: 769/1920
25: 169/480
26: 293/960
27: 25/96
28: 419/1920
29: 43/240
30: 23/160
31: 9/80
32: 41/480
33: 1/16
34: 7/160
35: 7/240
36: 7/384
37: 1/96
38: 1/192
39: 1/480
40: 1/1920

Dice: [12, 12, 20]
3: 1/1
4: 2879/2880
5: 719/720
6: 287/288
7: 143/144
8: 569/576
9: 353/360
10: 233/240
11: 23/24
12: 181/192
13: 133/144
14: 1297/1440
15: 629/720
16: 809/960
17: 97/120
18: 37/48
19: 263/360
20: 1981/2880
21: 463/720
22: 859/1440
23: 79/144
24: 1/2
25: 65/144
26: 581/1440
27: 257/720
28: 899/2880
29: 97/360
30: 11/48
31: 23/120
32: 151/960
33: 91/720
34: 143/1440
35: 11/144
36: 11/192
37: 1/24
38: 7/240
39: 7/360
40: 7/576
41: 1/144
42: 1/288
43: 1/720
44: 1/2880

Dice: [4, 20, 20]
3: 1/1
4: 1599/1600
5: 399/400
6: 159/160
7: 79/80
8: 783/800
9: 387/400
10: 763/800
11: 15/16
12: 147/160
13: 359/400
14: 699/800
15: 339/400
16: 131/160
17: 63/80
18: 603/800
19: 287/400
20: 543/800
21: 51/80
22: 19/32
23: 219/400
24: 1/2
25: 181/400
26: 13/32
27: 29/80
28: 257/800
29: 113/400
30: 197/800
31: 17/80
32: 29/160
33: 61/400
34: 101/800
35: 41/400
36: 13/160
37: 1/16
38: 37/800
39: 13/400
40: 17/800
41: 1/80
42: 1/160
43: 1/400
44: 1/1600

Dice: [6, 20, 20]
3: 1/1
4: 2399/2400
5: 599/600
6: 239/240
7: 119/120
8: 473/480
9: 293/300
10: 2317/2400
11: 571/600
12: 449/480
13: 11/12
14: 2149/2400
15: 523/600
16: 2029/2400
17: 49/60
18: 377/480
19: 451/600
20: 1717/2400
21: 203/300
22: 61/96
23: 71/120
24: 437/800
25: 1/2
26: 363/800
27: 49/120
28: 35/96
29: 97/300
30: 683/2400
31: 149/600
32: 103/480
33: 11/60
34: 371/2400
35: 77/600
36: 251/2400
37: 1/12
38: 31/480
39: 29/600
40: 83/2400
41: 7/300
42: 7/480
43: 1/120
44: 1/240
45: 1/600
46: 1/2400

Dice: [8, 20, 20]
3: 1/1
4: 3199/3200
5: 799/800
6: 319/320
7: 159/160
8: 633/640
9: 393/400
10: 779/800
11: 77/80
12: 759/800
13: 373/400
14: 731/800
15: 357/400
16: 139/160
17: 337/400
18: 651/800
19: 313/400
20: 599/800
21: 57/80
22: 539/800
23: 253/400
24: 943/1600
25: 109/200
26: 1/2
27: 91/200
28: 657/1600
29: 147/400
30: 261/800
31: 23/80
32: 201/800
33: 87/400
34: 149/800
35: 63/400
36: 21/160
37: 43/400
38: 69/800
39: 27/400
40: 41/800
41: 3/80
42: 21/800
43: 7/400
44: 7/640
45: 1/160
46: 1/320
47: 1/800
48: 1/3200

Dice: [12, 20, 20]
3: 1/1
4: 4799/4800
5: 1199/1200
6: 479/480
7: 239/240
8: 953/960
9: 593/600
10: 393/400
11: 39/40
12: 309/320
13: 229/240
14: 2257/2400
15: 1109/1200
16: 2173/2400
17: 1061/1200
18: 413/480
19: 1001/1200
20: 1933/2400
21: 929/1200
22: 1777/2400
23: 169/240
24: 799/1200
25: 751/1200
26: 1403/2400
27: 217/400
28: 1/2
29: 183/400
30: 997/2400
31: 449/1200
32: 401/1200
33: 71/240
34: 623/2400
35: 271/1200
36: 467/2400
37: 199/1200
38: 67/480
39: 139/1200
40: 227/2400
41: 91/1200
42: 143/2400
43: 11/240
44: 11/320
45: 1/40
46: 7/400
47: 7/600
48: 7/960
49: 1/240
50: 1/480
51: 1/1200
52: 1/4800

Dice: [20, 20, 20]
3: 1/1
4: 7999/8000
5: 1999/2000
6: 799/800
7: 399/400
8: 1593/1600
9: 993/1000
10: 1979/2000
11: 197/200
12: 1567/1600
13: 389/400
14: 3857/4000
15: 1909/2000
16: 1509/1600
17: 93/100
18: 183/200
19: 449/500
20: 7031/8000
21: 343/400
22: 667/800
23: 323/400
24: 779/1000
25: 1497/2000
26: 573/800
27: 273/400
28: 259/400
29: 1223/2000
30: 2299/4000
31: 43/80
32: 1/2
33: 37/80
34: 1701/4000
35: 777/2000
36: 141/400
37: 127/400
38: 227/800
39: 503/2000
40: 221/1000
41: 77/400
42: 133/800
43: 57/400
44: 969/8000
45: 51/500
46: 17/200
47: 7/100
48: 91/1600
49: 91/2000
50: 143/4000
51: 11/400
52: 33/1600
53: 3/200
54: 21/2000
55: 7/1000
56: 7/1600
57: 1/400
58: 1/800
59: 1/2000
60: 1/8000

Dice: [4, 4, 4, 4]
4: 1/1
5: 255/256
6: 251/256
7: 241/256
8: 221/256
9: 95/128
10: 75/128
11: 53/128
12: 33/128
13: 35/256
14: 15/256
15: 5/256
16: 1/256

Dice: [4, 4, 4, 6]
4: 1/1
5: 383/384
6: 379/384
7: 123/128
8: 349/384
9: 317/384
10: 91/128
11: 55/96
12: 41/96
13: 37/128
14: 67/384
15: 35/384
16: 5/128
17: 5/384
18: 1/384

Dice: [4, 4, 6, 6]
4: 1/1
5: 575/576
6: 571/576
7: 187/192
8: 541/576
9: 127/144
10: 115/144
11: 199/288
12: 163/288
13: 125/288
14: 89/288
15: 29/144
16: 17/144
17: 35/576
18: 5/192
19: 5/576
20: 1/576

Dice: [4, 6, 6, 6]
4: 1/1
5: 863/864
6: 859/864
7: 283/288
8: 829/864
9: 265/288
10: 743/864
11: 7/9
12: 73/108
13: 121/216
14: 95/216
15: 35/108
16: 2/9
17: 121/864
18: 23/288
19: 35/864
20: 5/288
21: 5/864
22: 1/864

Dice: [6, 6, 6, 6]
4: 1/1
5: 1295/1296
6: 1291/1296
7: 427/432
8: 1261/1296
9: 613/648
10: 65/72
11: 545/648
12: 493/648
13: 287/432
14: 721/1296
15: 575/1296
16: 145/432
17: 155/648
18: 103/648
19: 7/72
20: 35/648
21: 35/1296
22: 5/432
23: 5/1296
24: 1/1296

Dice: [4, 4, 4, 8]
4: 1/1
5: 511/512
6: 507/512
7: 497/512
8: 477/512
9: 445/512
10: 401/512
11: 347/512
12: 287/512
13: 225/512
14: 165/512
15: 111/512
16: 67/512
17: 35/512
18: 15/512
19: 5/512
20: 1/512

Dice: [4, 4, 6, 8]
4: 1/1
5: 767/768
6: 763/768
7: 251/256
8: 733/768
9: 175/192
10: 163/192
11: 589/768
12: 171/256
13: 107/192
14: 85/192
15: 85/256
16: 179/768
17: 29/192
18: 17/192
19: 35/768
20: 5/256
21: 5/768
22: 1/768

Dice: [4, 6, 6, 8]
4: 1/1
5: 1151/1152
6: 1147/1152
7: 379/384
8: 1117/1152
9: 361/384
10: 1031/1152
11: 959/1152
12: 289/384
13: 379/576
14: 319/576
15: 257/576
16: 197/576
17: 95/384
18: 193/1152
19: 121/1152
20: 23/384
21: 35/1152
22: 5/384
23: 5/1152
24: 1/1152

Dice: [6, 6, 6, 8]
4: 1/1
5: 1727/1728
6: 1723/1728
7: 571/576
8: 1693/1728
9: 829/864
10: 89/96
11: 169/192
12: 157/192
13: 1279/1728
14: 1123/1728
15: 119/216
16: 97/216
17: 605/1728
18: 449/1728
19: 35/192
20: 23/192
21: 7/96
22: 35/864
23: 35/1728
24: 5/576
25: 5/1728
26: 1/1728

Dice: [4, 4, 8, 8]
4: 1/1
5: 1023/1024
6: 1019/1024
7: 1009/1024
8: 989/1024
9: 239/256
10: 227/256
11: 211/256
12: 191/256
13: 335/512
14: 283/512
15: 229/512
16: 177/512
17: 65/256
18: 45/256
19: 29/256
20: 17/256
21: 35/1024
22: 15/1024
23: 5/1024
24: 1/1024

Dice: [4, 6, 8, 8]
4: 1/1
5: 1535/1536
6: 1531/1536
7: 507/512
8: 1501/1536
9: 489/512
10: 1415/1536
11: 671/768
12: 623/768
13: 47/64
14: 31/48
15: 211/384
16: 173/384
17: 17/48
18: 17/64
19: 145/768
20: 97/768
21: 121/1536
22: 23/512
23: 35/1536
24: 5/512
25: 5/1536
26: 1/1536

Dice: [6, 6, 8, 8]
4: 1/1
5: 2303/2304
6: 2299/2304
7: 763/768
8: 2269/2304
9: 1117/1152
10: 121/128
11: 131/144
12: 31/36
13: 1841/2304
14: 1669/2304
15: 491/768
16: 1261/2304
17: 1043/2304
18: 277/768
19: 635/2304
20: 463/2304
21: 5/36
22: 13/144
23: 7/128
24: 35/1152
25: 35/2304
26: 5/768
27: 5/2304
28: 1/2304

Dice: [4, 8, 8, 8]
4: 1/1
5: 2047/2048
6: 2043/2048
7: 2033/2048
8: 2013/2048
9: 1979/2048
10: 1927/2048
11: 1853/2048
12: 1753/2048
13: 813/1024
14: 737/1024
15: 651/1024
16: 559/1024
17: 465/1024
18: 373/1024
19: 287/1024
20: 211/1024
21: 295/2048
22: 195/2048
23: 121/2048
24: 69/2048
25: 35/2048
26: 15/2048
27: 5/2048
28: 1/2048

Dice: [6, 8, 8, 8]
4: 1/1
5: 3071/3072
6: 3067/3072
7: 1019/1024
8: 3037/3072
9: 1501/1536
10: 491/512
11: 2863/3072
12: 2747/3072
13: 865/1024
14: 2407/3072
15: 1093/1536
16: 323/512
17: 209/384
18: 175/384
19: 189/512
20: 443/1536
21: 665/3072
22: 159/1024
23: 325/3072
24: 209/3072
25: 21/512
26: 35/1536
27: 35/3072
28: 5/1024
29: 5/3072
30: 1/3072

Dice: [8, 8, 8, 8]
4: 1/1
5: 4095/4096
6: 4091/4096
7: 4081/4096
8: 4061/4096
9: 2013/2048
10: 1985/2048
11: 1943/2048
12: 1883/2048
13: 3605/4096
14: 3401/4096
15: 3155/4096
16: 2871/4096
17: 639/1024
18: 555/1024
19: 469/1024
20: 385/1024
21: 1225/4096
22: 941/4096
23: 695/4096
24: 491/4096
25: 165/2048
26: 105/2048
27: 63/2048
28: 35/2048
29: 35/4096
30: 15/4096
31: 5/4096
32: 1/4096

Dice: [4, 4, 4, 12]
4: 1/1
5: 767/768
6: 763/768
7: 251/256
8: 733/768
9: 701/768
10: 219/256
11: 201/256
12: 181/256
13: 5/8
14: 13/24
15: 11/24
16: 3/8
17: 75/256
18: 55/256
19: 37/256
20: 67/768
21: 35/768
22: 5/256
23: 5/768
24: 1/768

Dice: [4, 4, 6, 12]
4: 1/1
5: 1151/1152
6: 1147/1152
7: 379/384
8: 1117/1152
9: 271/288
10: 259/288
11: 973/1152
12: 299/384
13: 811/1152
14: 719/1152
15: 13/24
16: 11/24
17: 433/1152
18: 341/1152
19: 85/384
20: 179/1152
21: 29/288
22: 17/288
23: 35/1152
24: 5/384
25: 5/1152
26: 1/1152

Dice: [4, 6, 6, 12]
4: 1/1
5: 1727/1728
6: 1723/1728
7: 571/576
8: 1693/1728
9: 553/576
10: 1607/1728
11: 1535/1728
12: 481/576
13: 1333/1728
14: 403/576
15: 1075/1728
16: 935/1728
17: 793/1728
18: 653/1728
19: 173/576
20: 395/1728
21: 95/576
22: 193/1728
23: 121/1728
24: 23/576
25: 35/1728
26: 5/576
27: 5/1728
28: 1/1728

Dice: [6, 6, 6, 12]
4: 1/1
5: 2591/2592
6: 2587/2592
7: 859/864
8: 2557/2592
9: 1261/1296
10: 137/144
11: 265/288
12: 253/288
13: 119/144
14: 991/1296
15: 1801/2592
16: 535/864
17: 175/324
18: 149/324
19: 329/864
20: 791/2592
21: 305/1296
22: 25/144
23: 35/288
24: 23/288
25: 7/144
26: 35/1296
27: 35/2592
28: 5/864
29: 5/2592
30: 1/2592

Dice: [4, 4, 8, 12]
4: 1/1
5: 1535/1536
6: 1531/1536
7: 507/512
8: 1501/1536
9: 367/384
10: 355/384
11: 113/128
12: 319/384
13: 1181/1536
14: 1073/1536
15: 955/1536
16: 277/512
17: 235/512
18: 581/1536
19: 463/1536
20: 355/1536
21: 65/384
22: 15/128
23: 29/384
24: 17/384
25: 35/1536
26: 5/512
27: 5/1536
28: 1/1536

Dice: [4, 6, 8, 12]
4: 1/1
5: 2303/2304
6: 2299/2304
7: 763/768
8: 2269/2304
9: 745/768
10: 2183/2304
11: 1055/1152
12: 1007/1152
13: 1895/2304
14: 195/256
15: 1597/2304
16: 475/768
17: 311/576
18: 265/576
19: 293/768
20: 707/2304
21: 61/256
22: 409/2304
23: 145/1152
24: 97/1152
25: 121/2304
26: 23/768
27: 35/2304
28: 5/768
29: 5/2304
30: 1/2304

Dice: [6, 6, 8, 12]
4: 1/1
5: 3455/3456
6: 3451/3456
7: 1147/1152
8: 3421/3456
9: 1693/1728
10: 185/192
11: 203/216
12: 49/54
13: 187/216
14: 22/27
15: 145/192
16: 1189/1728
17: 1063/1728
18: 931/1728
19: 797/1728
20: 665/1728
21: 539/1728
22: 47/192
23: 5/27
24: 29/216
25: 5/54
26: 13/216
27: 7/192
28: 35/1728
29: 35/3456
30: 5/1152
31: 5/3456
32: 1/3456

Dice: [4, 8, 8, 12]
4: 1/1
5: 3071/3072
6: 3067/3072
7: 1019/1024
8: 3037/3072
9: 1001/1024
10: 2951/3072
11: 959/1024
12: 2777/3072
13: 883/1024
14: 831/1024
15: 2311/3072
16: 2107/3072
17: 943/1536
18: 827/1536
19: 709/1536
20: 593/1536
21: 965/3072
22: 761/3072
23: 193/1024
24: 141/1024
25: 295/3072
26: 65/1024
27: 121/3072
28: 23/1024
29: 35/3072
30: 5/1024
31: 5/3072
32: 1/3072

Dice: [6, 8, 8, 12]
4: 1/1
5: 4607/4608
6: 4603/4608
7: 1531/1536
8: 4573/4608
9: 2269/2304
10: 249/256
11: 4399/4608
12: 4283/4608
13: 2065/2304
14: 1969/2304
15: 3707/4608
16: 3439/4608
17: 3139/4608
18: 2815/4608
19: 619/1152
20: 533/1152
21: 1793/4608
22: 1469/4608
23: 1169/4608
24: 901/4608
25: 335/2304
26: 239/2304
27: 325/4608
28: 209/4608
29: 7/256
30: 35/2304
31: 35/4608
32: 5/1536
33: 5/4608
34: 1/4608

Dice: [8, 8, 8, 12]
4: 1/1
5: 6143/6144
6: 6139/6144
7: 2043/2048
8: 6109/6144
9: 3037/3072
10: 1003/1024
11: 989/1024
12: 969/1024
13: 471/512
14: 1361/1536
15: 1297/1536
16: 407/512
17: 4535/6144
18: 4147/6144
19: 1243/2048
20: 3293/6144
21: 2851/6144
22: 805/2048
23: 1997/6144
24: 1609/6144
25: 105/512
26: 239/1536
27: 175/1536
28: 41/512
29: 55/1024
30: 35/1024
31: 21/1024
32: 35/3072
33: 35/6144
34: 5/2048
35: 5/6144
36: 1/6144

Dice: [4, 4, 12, 12]
4: 1/1
5: 2303/2304
6: 2299/2304
7: 763/768
8: 2269/2304
9: 559/576
10: 547/576
11: 59/64
12: 511/576
13: 487/576
14: 51/64
15: 427/576
16: 391/576
17: 703/1152
18: 619/1152
19: 533/1152
20: 449/1152
21: 185/576
22: 149/576
23: 13/64
24: 89/576
25: 65/576
26: 5/64
27: 29/576
28: 17/576
29: 35/2304
30: 5/768
31: 5/2304
32: 1/2304

Dice: [4, 6, 12, 12]
4: 1/1
5: 3455/3456
6: 3451/3456
7: 1147/1152
8: 3421/3456
9: 1129/1152
10: 3335/3456
11: 1631/1728
12: 1583/1728
13: 1523/1728
14: 1451/1728
15: 1367/1728
16: 1271/1728
17: 97/144
18: 131/216
19: 463/864
20: 401/864
21: 85/216
22: 47/144
23: 457/1728
24: 361/1728
25: 277/1728
26: 205/1728
27: 145/1728
28: 97/1728
29: 121/3456
30: 23/1152
31: 35/3456
32: 5/1152
33: 5/3456
34: 1/3456

Dice: [6, 6, 12, 12]
4: 1/1
5: 5183/5184
6: 5179/5184
7: 1723/1728
8: 5149/5184
9: 2557/2592
10: 281/288
11: 311/324
12: 76/81
13: 1573/1728
14: 1513/1728
15: 1441/1728
16: 1357/1728
17: 3785/5184
18: 3469/5184
19: 1043/1728
20: 2773/5184
21: 2411/5184
22: 685/1728
23: 1715/5184
24: 1399/5184
25: 371/1728
26: 287/1728
27: 215/1728
28: 155/1728
29: 5/81
30: 13/324
31: 7/288
32: 35/2592
33: 35/5184
34: 5/1728
35: 5/5184
36: 1/5184

Dice: [4, 8, 12, 12]
4: 1/1
5: 4607/4608
6: 4603/4608
7: 1531/1536
8: 4573/4608
9: 1513/1536
10: 4487/4608
11: 1471/1536
12: 4313/4608
13: 523/576
14: 503/576
15: 479/576
16: 451/576
17: 559/768
18: 1537/2304
19: 1387/2304
20: 1231/2304
21: 1073/2304
22: 917/2304
23: 767/2304
24: 209/768
25: 125/576
26: 97/576
27: 73/576
28: 53/576
29: 295/4608
30: 65/1536
31: 121/4608
32: 23/1536
33: 35/4608
34: 5/1536
35: 5/4608
36: 1/4608

Dice: [6, 8, 12, 12]
4: 1/1
5: 6911/6912
6: 6907/6912
7: 2299/2304
8: 6877/6912
9: 3421/3456
10: 377/384
11: 6703/6912
12: 6587/6912
13: 6433/6912
14: 231/256
15: 1499/1728
16: 1427/1728
17: 2687/3456
18: 833/1152
19: 2293/3456
20: 691/1152
21: 461/864
22: 403/864
23: 461/1152
24: 1163/3456
25: 319/1152
26: 769/3456
27: 301/1728
28: 229/1728
29: 25/256
30: 479/6912
31: 325/6912
32: 209/6912
33: 7/384
34: 35/3456
35: 35/6912
36: 5/2304
37: 5/6912
38: 1/6912

Dice: [8, 8, 12, 12]
4: 1/1
5: 9215/9216
6: 9211/9216
7: 3067/3072
8: 9181/9216
9: 4573/4608
10: 505/512
11: 1501/1536
12: 1481/1536
13: 8723/9216
14: 2837/3072
15: 8245/9216
16: 7921/9216
17: 3769/4608
18: 1183/1536
19: 367/512
20: 3035/4608
21: 1375/2304
22: 409/768
23: 359/768
24: 929/2304
25: 1573/4608
26: 145/512
27: 353/1536
28: 839/4608
29: 1295/9216
30: 971/9216
31: 235/3072
32: 493/9216
33: 55/1536
34: 35/1536
35: 7/512
36: 35/4608
37: 35/9216
38: 5/3072
39: 5/9216
40: 1/9216

Dice: [4, 12, 12, 12]
4: 1/1
5: 6911/6912
6: 6907/6912
7: 2299/2304
8: 6877/6912
9: 2281/2304
10: 6791/6912
11: 2239/2304
12: 6617/6912
13: 6487/6912
14: 6323/6912
15: 6121/6912
16: 653/768
17: 2795/3456
18: 877/1152
19: 2449/3456
20: 751/1152
21: 2047/3456
22: 1835/3456
23: 1621/3456
24: 1409/3456
25: 401/1152
26: 1007/3456
27: 275/1152
28: 661/3456
29: 115/768
30: 791/6912
31: 589/6912
32: 425/6912
33: 295/6912
34: 65/2304
35: 121/6912
36: 23/2304
37: 35/6912
38: 5/2304
39: 5/6912
40: 1/6912

Dice: [6, 12, 12, 12]
4: 1/1
5: 10367/10368
6: 10363/10368
7: 3451/3456
8: 10333/10368
9: 5149/5184
10: 569/576
11: 10159/10368
12: 10043/10368
13: 103/108
14: 1211/1296
15: 9437/10368
16: 3043/3456
17: 8761/10368
18: 8333/10368
19: 109/144
20: 457/648
21: 3367/5184
22: 1021/1728
23: 1375/2592
24: 1217/2592
25: 707/1728
26: 1817/5184
27: 191/648
28: 35/144
29: 2035/10368
30: 1607/10368
31: 413/3456
32: 931/10368
33: 85/1296
34: 5/108
35: 325/10368
36: 209/10368
37: 7/576
38: 35/5184
39: 35/10368
40: 5/3456
41: 5/10368
42: 1/10368

Dice: [8, 12, 12, 12]
4: 1/1
5: 13823/13824
6: 13819/13824
7: 4603/4608
8: 13789/13824
9: 6877/6912
10: 761/768
11: 2269/2304
12: 2249/2304
13: 6665/6912
14: 6557/6912
15: 6419/6912
16: 6247/6912
17: 12077/13824
18: 11585/13824
19: 3673/4608
20: 3461/4608
21: 269/384
22: 2233/3456
23: 2035/3456
24: 1831/3456
25: 1625/3456
26: 1421/3456
27: 1223/3456
28: 115/384
29: 1147/4608
30: 935/4608
31: 2239/13824
32: 1747/13824
33: 665/6912
34: 493/6912
35: 355/6912
36: 247/6912
37: 55/2304
38: 35/2304
39: 7/768
40: 35/6912
41: 35/13824
42: 5/4608
43: 5/13824
44: 1/13824

Dice: [12, 12, 12, 12]
4: 1/1
5: 20735/20736
6: 20731/20736
7: 6907/6912
8: 20701/20736
9: 10333/10368
10: 1145/1152
11: 3421/3456
12: 3401/3456
13: 2249/2304
14: 20021/20736
15: 19735/20736
16: 6457/6912
17: 2365/2592
18: 2297/2592
19: 739/864
20: 2125/2592
21: 16171/20736
22: 565/768
23: 14261/20736
24: 13201/20736
25: 2015/3456
26: 5473/10368
27: 4895/10368
28: 1441/3456
29: 7535/20736
30: 6475/20736
31: 203/768
32: 4565/20736
33: 467/2592
34: 125/864
35: 295/2592
36: 227/2592
37: 455/6912
38: 1001/20736
39: 715/20736
40: 55/2304
41: 55/3456
42: 35/3456
43: 7/1152
44: 35/10368
45: 35/20736
46: 5/6912
47: 5/20736
48: 1/20736

Dice: [4, 4, 4, 20]
4: 1/1
5: 1279/1280
6: 255/256
7: 253/256
8: 249/256
9: 1213/1280
10: 1169/1280
11: 223/256
12: 211/256
13: 31/40
14: 29/40
15: 27/40
16: 5/8
17: 23/40
18: 21/40
19: 19/40
20: 17/40
21: 3/8
22: 13/40
23: 11/40
24: 9/40
25: 45/256
26: 33/256
27: 111/1280
28: 67/1280
29: 7/256
30: 3/256
31: 1/256
32: 1/1280

Dice: [4, 4, 6, 20]
4: 1/1
5: 1919/1920
6: 383/384
7: 127/128
8: 377/384
9: 463/480
10: 451/480
11: 1741/1920
12: 111/128
13: 1579/1920
14: 1487/1920
15: 29/40
16: 27/40
17: 5/8
18: 23/40
19: 21/40
20: 19/40
21: 17/40
22: 3/8
23: 13/40
24: 11/40
25: 433/1920
26: 341/1920
27: 17/128
28: 179/1920
29: 29/480
30: 17/480
31: 7/384
32: 1/128
33: 1/384
34: 1/1920

Dice: [4, 6, 6, 20]
4: 1/1
5: 2879/2880
6: 575/576
7: 191/192
8: 569/576
9: 937/960
10: 2759/2880
11: 2687/2880
12: 173/192
13: 497/576
14: 787/960
15: 2227/2880
16: 2087/2880
17: 27/40
18: 5/8
19: 23/40
20: 21/40
21: 19/40
22: 17/40
23: 3/8
24: 13/40
25: 793/2880
26: 653/2880
27: 173/960
28: 79/576
29: 19/192
30: 193/2880
31: 121/2880
32: 23/960
33: 7/576
34: 1/192
35: 1/576
36: 1/2880

Dice: [6, 6, 6, 20]
4: 1/1
5: 4319/4320
6: 863/864
7: 287/288
8: 857/864
9: 425/432
10: 233/240
11: 457/480
12: 89/96
13: 43/48
14: 371/432
15: 3529/4320
16: 1111/1440
17: 3127/4320
18: 583/864
19: 5/8
20: 23/40
21: 21/40
22: 19/40
23: 17/40
24: 3/8
25: 281/864
26: 1193/4320
27: 329/1440
28: 791/4320
29: 61/432
30: 5/48
31: 7/96
32: 23/480
33: 7/240
34: 7/432
35: 7/864
36: 1/288
37: 1/864
38: 1/4320

Dice: [4, 4, 8, 20]
4: 1/1
5: 2559/2560
6: 511/512
7: 509/512
8: 505/512
9: 623/640
10: 611/640
11: 119/128
12: 115/128
13: 441/512
14: 2097/2560
15: 1979/2560
16: 371/512
17: 27/40
18: 5/8
19: 23/40
20: 21/40
21: 19/40
22: 17/40
23: 3/8
24: 13/40
25: 141/512
26: 581/2560
27: 463/2560
28: 71/512
29: 13/128
30: 9/128
31: 29/640
32: 17/640
33: 7/512
34: 3/512
35: 1/512
36: 1/2560

Dice: [4, 6, 8, 20]
4: 1/1
5: 3839/3840
6: 767/768
7: 255/256
8: 761/768
9: 1257/1280
10: 3719/3840
11: 1823/1920
12: 355/384
13: 3431/3840
14: 1097/1280
15: 3133/3840
16: 987/1280
17: 2779/3840
18: 2591/3840
19: 5/8
20: 23/40
21: 21/40
22: 19/40
23: 17/40
24: 3/8
25: 1249/3840
26: 1061/3840
27: 293/1280
28: 707/3840
29: 183/1280
30: 409/3840
31: 29/384
32: 97/1920
33: 121/3840
34: 23/1280
35: 7/768
36: 1/256
37: 1/768
38: 1/3840

Dice: [6, 6, 8, 20]
4: 1/1
5: 5759/5760
6: 1151/1152
7: 383/384
8: 1145/1152
9: 569/576
10: 313/320
11: 347/360
12: 17/18
13: 331/360
14: 8/9
15: 273/320
16: 2341/2880
17: 4429/5760
18: 1387/1920
19: 3883/5760
20: 3599/5760
21: 23/40
22: 21/40
23: 19/40
24: 17/40
25: 2161/5760
26: 1877/5760
27: 533/1920
28: 1331/5760
29: 539/2880
30: 47/320
31: 1/9
32: 29/360
33: 1/18
34: 13/360
35: 7/320
36: 7/576
37: 7/1152
38: 1/384
39: 1/1152
40: 1/5760

Dice: [4, 8, 8, 20]
4: 1/1
5: 5119/5120
6: 1023/1024
7: 1021/1024
8: 1017/1024
9: 5051/5120
10: 4999/5120
11: 985/1024
12: 965/1024
13: 4697/5120
14: 4541/5120
15: 4359/5120
16: 831/1024
17: 3933/5120
18: 3697/5120
19: 3451/5120
20: 3199/5120
21: 23/40
22: 21/40
23: 19/40
24: 17/40
25: 1921/5120
26: 1669/5120
27: 1423/5120
28: 1187/5120
29: 193/1024
30: 761/5120
31: 579/5120
32: 423/5120
33: 59/1024
34: 39/1024
35: 121/5120
36: 69/5120
37: 7/1024
38: 3/1024
39: 1/1024
40: 1/5120

Dice: [6, 8, 8, 20]
4: 1/1
5: 7679/7680
6: 1535/1536
7: 511/512
8: 1529/1536
9: 761/768
10: 1259/1280
11: 7471/7680
12: 1471/1536
13: 3601/3840
14: 701/768
15: 6779/7680
16: 6511/7680
17: 207/256
18: 2941/3840
19: 5533/7680
20: 1723/2560
21: 959/1536
22: 883/1536
23: 21/40
24: 19/40
25: 653/1536
26: 577/1536
27: 837/2560
28: 2147/7680
29: 899/3840
30: 49/256
31: 1169/7680
32: 901/7680
33: 67/768
34: 239/3840
35: 65/1536
36: 209/7680
37: 21/1280
38: 7/768
39: 7/1536
40: 1/512
41: 1/1536
42: 1/7680

Dice: [8, 8, 8, 20]
4: 1/1
5: 10239/10240
6: 2047/2048
7: 2045/2048
8: 2041/2048
9: 1017/1024
10: 5057/5120
11: 1003/1024
12: 991/1024
13: 2437/2560
14: 477/512
15: 2321/2560
16: 449/512
17: 863/1024
18: 4119/5120
19: 781/1024
20: 3677/5120
21: 6877/10240
22: 1277/2048
23: 5883/10240
24: 1075/2048
25: 973/2048
26: 4357/10240
27: 771/2048
28: 3363/10240
29: 1443/5120
30: 243/1024
31: 1001/5120
32: 161/1024
33: 63/512
34: 239/2560
35: 35/512
36: 123/2560
37: 33/1024
38: 21/1024
39: 63/5120
40: 7/1024
41: 7/2048
42: 3/2048
43: 1/2048
44: 1/10240

Dice: [4, 4, 12, 20]
4: 1/1
5: 3839/3840
6: 767/768
7: 255/256
8: 761/768
9: 943/960
10: 931/960
11: 61/64
12: 179/192
13: 871/960
14: 281/320
15: 811/960
16: 155/192
17: 2941/3840
18: 923/1280
19: 2587/3840
20: 2399/3840
21: 23/40
22: 21/40
23: 19/40
24: 17/40
25: 1441/3840
26: 1253/3840
27: 357/1280
28: 899/3840
29: 37/192
30: 149/960
31: 39/320
32: 89/960
33: 13/192
34: 3/64
35: 29/960
36: 17/960
37: 7/768
38: 1/256
39: 1/768
40: 1/3840

Dice: [4, 6, 12, 20]
4: 1/1
5: 5759/5760
6: 1151/1152
7: 383/384
8: 1145/1152
9: 1897/1920
10: 5639/5760
11: 2783/2880
12: 547/576
13: 535/576
14: 2603/2880
15: 2519/2880
16: 2423/2880
17: 4631/5760
18: 293/384
19: 4141/5760
20: 1291/1920
21: 719/1152
22: 3311/5760
23: 21/40
24: 19/40
25: 2449/5760
26: 433/1152
27: 629/1920
28: 1619/5760
29: 91/384
30: 1129/5760
31: 457/2880
32: 361/2880
33: 277/2880
34: 41/576
35: 29/576
36: 97/2880
37: 121/5760
38: 23/1920
39: 7/1152
40: 1/384
41: 1/1152
42: 1/5760

Dice: [6, 6, 12, 20]
4: 1/1
5: 8639/8640
6: 1727/1728
7: 575/576
8: 1721/1728
9: 857/864
10: 473/480
11: 527/540
12: 26/27
13: 545/576
14: 533/576
15: 2593/2880
16: 2509/2880
17: 181/216
18: 173/216
19: 73/96
20: 3097/4320
21: 5797/8640
22: 359/576
23: 4963/8640
24: 907/1728
25: 821/1728
26: 3677/8640
27: 217/576
28: 2843/8640
29: 1223/4320
30: 23/96
31: 43/216
32: 35/216
33: 371/2880
34: 287/2880
35: 43/576
36: 31/576
37: 1/27
38: 13/540
39: 7/480
40: 7/864
41: 7/1728
42: 1/576
43: 1/1728
44: 1/8640

Dice: [4, 8, 12, 20]
4: 1/1
5: 7679/7680
6: 1535/1536
7: 511/512
8: 1529/1536
9: 2537/2560
10: 7559/7680
11: 499/512
12: 1477/1536
13: 907/960
14: 887/960
15: 863/960
16: 167/192
17: 1285/1536
18: 2047/2560
19: 5831/7680
20: 1833/2560
21: 5149/7680
22: 319/512
23: 4411/7680
24: 4031/7680
25: 3649/7680
26: 3269/7680
27: 193/512
28: 2531/7680
29: 727/2560
30: 1849/7680
31: 513/2560
32: 251/1536
33: 25/192
34: 97/960
35: 73/960
36: 53/960
37: 59/1536
38: 13/512
39: 121/7680
40: 23/2560
41: 7/1536
42: 1/512
43: 1/1536
44: 1/7680

Dice: [6, 8, 12, 20]
4: 1/1
5: 11519/11520
6: 2303/2304
7: 767/768
8: 2297/2304
9: 1145/1152
10: 633/640
11: 11311/11520
12: 2239/2304
13: 11041/11520
14: 241/256
15: 2651/2880
16: 2579/2880
17: 1109/1280
18: 9601/11520
19: 9179/11520
20: 8719/11520
21: 457/640
22: 3853/5760
23: 1433/2304
24: 2203/3840
25: 1511/2880
26: 1369/2880
27: 1637/3840
28: 871/2304
29: 1907/5760
30: 183/640
31: 2801/11520
32: 2341/11520
33: 1919/11520
34: 171/1280
35: 301/2880
36: 229/2880
37: 15/256
38: 479/11520
39: 65/2304
40: 209/11520
41: 7/640
42: 7/1152
43: 7/2304
44: 1/768
45: 1/2304
46: 1/11520

Dice: [8, 8, 12, 20]
4: 1/1
5: 15359/15360
6: 3071/3072
7: 1023/1024
8: 3065/3072
9: 1529/1536
10: 2539/2560
11: 505/512
12: 501/512
13: 14867/15360
14: 977/1024
15: 14389/15360
16: 2813/3072
17: 13681/15360
18: 13237/15360
19: 849/1024
20: 12179/15360
21: 1929/2560
22: 1821/2560
23: 1707/2560
24: 953/1536
25: 4399/7680
26: 4027/7680
27: 3653/7680
28: 3281/7680
29: 583/1536
30: 853/2560
31: 739/2560
32: 631/2560
33: 3181/15360
34: 175/1024
35: 2123/15360
36: 1679/15360
37: 259/3072
38: 971/15360
39: 47/1024
40: 493/15360
41: 11/512
42: 7/512
43: 21/2560
44: 7/1536
45: 7/3072
46: 1/1024
47: 1/3072
48: 1/15360

Dice: [4, 12, 12, 20]
4: 1/1
5: 11519/11520
6: 2303/2304
7: 767/768
8: 2297/2304
9: 3817/3840
10: 11399/11520
11: 755/768
12: 2245/2304
13: 2219/2304
14: 10931/11520
15: 10729/11520
16: 233/256
17: 1133/1280
18: 1973/2304
19: 9491/11520
20: 9079/11520
21: 8633/11520
22: 2719/3840
23: 1531/2304
24: 2377/3840
25: 659/1152
26: 3019/5760
27: 2741/5760
28: 493/1152
29: 1463/3840
30: 773/2304
31: 1121/3840
32: 2887/11520
33: 2441/11520
34: 2029/11520
35: 331/2304
36: 147/1280
37: 23/256
38: 791/11520
39: 589/11520
40: 85/2304
41: 59/2304
42: 13/768
43: 121/11520
44: 23/3840
45: 7/2304
46: 1/768
47: 1/2304
48: 1/11520

Dice: [6, 12, 12, 20]
4: 1/1
5: 17279/17280
6: 3455/3456
7: 1151/1152
8: 3449/3456
9: 1721/1728
10: 953/960
11: 17071/17280
12: 3391/3456
13: 35/36
14: 415/432
15: 16349/17280
16: 5347/5760
17: 653/720
18: 127/144
19: 983/1152
20: 14189/17280
21: 1697/2160
22: 269/360
23: 12203/17280
24: 2291/3456
25: 2135/3456
26: 9871/17280
27: 2263/4320
28: 2057/4320
29: 7409/17280
30: 1321/3456
31: 1165/3456
32: 5077/17280
33: 91/360
34: 463/2160
35: 3091/17280
36: 169/1152
37: 17/144
38: 67/720
39: 413/5760
40: 931/17280
41: 17/432
42: 1/36
43: 65/3456
44: 209/17280
45: 7/960
46: 7/1728
47: 7/3456
48: 1/1152
49: 1/3456
50: 1/17280

Dice: [8, 12, 12, 20]
4: 1/1
5: 23039/23040
6: 4607/4608
7: 1535/1536
8: 4601/4608
9: 2297/2304
10: 1273/1280
11: 761/768
12: 757/768
13: 11273/11520
14: 2233/2304
15: 11027/11520
16: 2171/2304
17: 5323/5760
18: 1733/1920
19: 337/384
20: 4891/5760
21: 1883/2304
22: 9011/11520
23: 8573/11520
24: 1621/2304
25: 15223/23040
26: 2839/4608
27: 4379/7680
28: 12061/23040
29: 10979/23040
30: 3301/7680
31: 1769/4608
32: 7817/23040
33: 683/2304
34: 2947/11520
35: 2509/11520
36: 421/2304
37: 869/5760
38: 47/384
39: 187/1920
40: 437/5760
41: 133/2304
42: 493/11520
43: 71/2304
44: 247/11520
45: 11/768
46: 7/768
47: 7/1280
48: 7/2304
49: 7/4608
50: 1/1536
51: 1/4608
52: 1/23040

Dice: [12, 12, 12, 20]
4: 1/1
5: 34559/34560
6: 6911/6912
7: 2303/2304
8: 6905/6912
9: 3449/3456
10: 1913/1920
11: 1145/1152
12: 1141/1152
13: 757/768
14: 6769/6912
15: 33559/34560
16: 2213/2304
17: 32743/34560
18: 6439/6912
19: 701/768
20: 3421/3840
21: 665/768
22: 3217/3840
23: 5575/6912
24: 5339/6912
25: 1271/1728
26: 401/576
27: 5657/8640
28: 1057/1728
29: 4903/8640
30: 301/576
31: 275/576
32: 3737/8640
33: 671/1728
34: 2983/8640
35: 175/576
36: 457/1728
37: 1573/6912
38: 1337/6912
39: 623/3840
40: 103/768
41: 419/3840
42: 67/768
43: 473/6912
44: 1817/34560
45: 91/2304
46: 1001/34560
47: 143/6912
48: 11/768
49: 11/1152
50: 7/1152
51: 7/1920
52: 7/3456
53: 7/6912
54: 1/2304
55: 1/6912
56: 1/34560

Dice: [4, 4, 20, 20]
4: 1/1
5: 6399/6400
6: 1279/1280
7: 1277/1280
8: 1273/1280
9: 1583/1600
10: 1571/1600
11: 311/320
12: 307/320
13: 1511/1600
14: 1483/1600
15: 1451/1600
16: 283/320
17: 55/64
18: 1331/1600
19: 1283/1600
20: 1231/1600
21: 47/64
22: 223/320
23: 1051/1600
24: 983/1600
25: 1823/3200
26: 67/128
27: 61/128
28: 1377/3200
29: 617/1600
30: 549/1600
31: 97/320
32: 17/64
33: 369/1600
34: 317/1600
35: 269/1600
36: 9/64
37: 37/320
38: 149/1600
39: 117/1600
40: 89/1600
41: 13/320
42: 9/320
43: 29/1600
44: 17/1600
45: 7/1280
46: 3/1280
47: 1/1280
48: 1/6400

Dice: [4, 6, 20, 20]
4: 1/1
5: 9599/9600
6: 1919/1920
7: 639/640
8: 1913/1920
9: 3177/3200
10: 9479/9600
11: 4703/4800
12: 931/960
13: 919/960
14: 4523/4800
15: 4439/4800
16: 4343/4800
17: 847/960
18: 823/960
19: 3983/4800
20: 3839/4800
21: 3683/4800
22: 703/960
23: 667/960
24: 3143/4800
25: 49/80
26: 341/600
27: 251/480
28: 229/480
29: 259/600
30: 31/80
31: 1657/4800
32: 293/960
33: 257/960
34: 1117/4800
35: 961/4800
36: 817/4800
37: 137/960
38: 113/960
39: 457/4800
40: 361/4800
41: 277/4800
42: 41/960
43: 29/960
44: 97/4800
45: 121/9600
46: 23/3200
47: 7/1920
48: 1/640
49: 1/1920
50: 1/9600

Dice: [6, 6, 20, 20]
4: 1/1
5: 14399/14400
6: 2879/2880
7: 959/960
8: 2873/2880
9: 1433/1440
10: 793/800
11: 887/900
12: 44/45
13: 929/960
14: 917/960
15: 4513/4800
16: 4429/4800
17: 4333/4800
18: 169/192
19: 821/960
20: 3973/4800
21: 3829/4800
22: 3673/4800
23: 701/960
24: 133/192
25: 9401/14400
26: 8797/14400
27: 2723/4800
28: 301/576
29: 275/576
30: 2077/4800
31: 5603/14400
32: 4999/14400
33: 59/192
34: 259/960
35: 1127/4800
36: 971/4800
37: 827/4800
38: 139/960
39: 23/192
40: 467/4800
41: 371/4800
42: 287/4800
43: 43/960
44: 31/960
45: 1/45
46: 13/900
47: 7/800
48: 7/1440
49: 7/2880
50: 1/960
51: 1/2880
52: 1/14400

Dice: [4, 8, 20, 20]
4: 1/1
5: 12799/12800
6: 2559/2560
7: 2557/2560
8: 2553/2560
9: 12731/12800
10: 12679/12800
11: 2521/2560
12: 2501/2560
13: 1547/1600
14: 1527/1600
15: 1503/1600
16: 59/64
17: 1443/1600
18: 1407/1600
19: 1367/1600
20: 1323/1600
21: 51/64
22: 1223/1600
23: 1167/1600
24: 1107/1600
25: 4173/6400
26: 781/1280
27: 3627/6400
28: 3343/6400
29: 3057/6400
30: 2773/6400
31: 499/1280
32: 2227/6400
33: 493/1600
34: 433/1600
35: 377/1600
36: 13/64
37: 277/1600
38: 233/1600
39: 193/1600
40: 157/1600
41: 5/64
42: 97/1600
43: 73/1600
44: 53/1600
45: 59/2560
46: 39/2560
47: 121/12800
48: 69/12800
49: 7/2560
50: 3/2560
51: 1/2560
52: 1/12800

Dice: [6, 8, 20, 20]
4: 1/1
5: 19199/19200
6: 3839/3840
7: 1279/1280
8: 3833/3840
9: 1913/1920
10: 3179/3200
11: 18991/19200
12: 755/768
13: 18721/19200
14: 247/256
15: 4571/4800
16: 4499/4800
17: 883/960
18: 4319/4800
19: 4211/4800
20: 4091/4800
21: 3959/4800
22: 763/960
23: 3659/4800
24: 3491/4800
25: 6623/9600
26: 2081/3200
27: 1169/1920
28: 1811/3200
29: 1253/2400
30: 1147/2400
31: 1389/3200
32: 751/1920
33: 1119/3200
34: 2977/9600
35: 1309/4800
36: 1141/4800
37: 197/960
38: 841/4800
39: 709/4800
40: 589/4800
41: 481/4800
42: 77/960
43: 301/4800
44: 229/4800
45: 9/256
46: 479/19200
47: 13/768
48: 209/19200
49: 21/3200
50: 7/1920
51: 7/3840
52: 1/1280
53: 1/3840
54: 1/19200

Dice: [8, 8, 20, 20]
4: 1/1
5: 25599/25600
6: 5119/5120
7: 5117/5120
8: 5113/5120
9: 2553/2560
10: 12737/12800
11: 2539/2560
12: 2527/2560
13: 25107/25600
14: 4979/5120
15: 24629/25600
16: 4861/5120
17: 299/320
18: 1467/1600
19: 287/320
20: 1399/1600
21: 1359/1600
22: 263/320
23: 1267/1600
24: 243/320
25: 9273/12800
26: 8797/12800
27: 1659/2560
28: 7771/12800
29: 723/1280
30: 3339/6400
31: 3061/6400
32: 557/1280
33: 5029/12800
34: 901/2560
35: 4003/12800
36: 3527/12800
37: 77/320
38: 333/1600
39: 57/320
40: 241/1600
41: 201/1600
42: 33/320
43: 133/1600
44: 21/320
45: 259/5120
46: 971/25600
47: 141/5120
48: 493/25600
49: 33/2560
50: 21/2560
51: 63/12800
52: 7/2560
53: 7/5120
54: 3/5120
55: 1/5120
56: 1/25600

Dice: [4, 12, 20, 20]
4: 1/1
5: 19199/19200
6: 3839/3840
7: 1279/1280
8: 3833/3840
9: 6377/6400
10: 19079/19200
11: 1267/1280
12: 3781/3840
13: 751/768
14: 18611/19200
15: 18409/19200
16: 1211/1280
17: 4469/4800
18: 877/960
19: 4289/4800
20: 4181/4800
21: 4061/4800
22: 3929/4800
23: 757/960
24: 3629/4800
25: 6923/9600
26: 2189/3200
27: 6193/9600
28: 387/640
29: 5407/9600
30: 5003/9600
31: 4597/9600
32: 4193/9600
33: 253/640
34: 3407/9600
35: 1011/3200
36: 2677/9600
37: 1171/4800
38: 203/960
39: 871/4800
40: 739/4800
41: 619/4800
42: 511/4800
43: 83/960
44: 331/4800
45: 69/1280
46: 791/19200
47: 589/19200
48: 17/768
49: 59/3840
50: 13/1280
51: 121/19200
52: 23/6400
53: 7/3840
54: 1/1280
55: 1/3840
56: 1/19200

Dice: [6, 12, 20, 20]
4: 1/1
5: 28799/28800
6: 5759/5760
7: 1919/1920
8: 5753/5760
9: 2873/2880
10: 1593/1600
11: 28591/28800
12: 1139/1152
13: 59/60
14: 703/720
15: 27869/28800
16: 9187/9600
17: 27191/28800
18: 5351/5760
19: 175/192
20: 4279/4800
21: 4171/4800
22: 4051/4800
23: 3919/4800
24: 151/192
25: 5429/7200
26: 5179/7200
27: 273/400
28: 1159/1800
29: 1739/2880
30: 2701/4800
31: 3751/7200
32: 3449/7200
33: 2099/4800
34: 1141/2880
35: 641/1800
36: 127/400
37: 2021/7200
38: 1771/7200
39: 41/192
40: 881/4800
41: 749/4800
42: 629/4800
43: 521/4800
44: 17/192
45: 409/5760
46: 1609/28800
47: 413/9600
48: 931/28800
49: 17/720
50: 1/60
51: 13/1152
52: 209/28800
53: 7/1600
54: 7/2880
55: 7/5760
56: 1/1920
57: 1/5760
58: 1/28800

Dice: [8, 12, 20, 20]
4: 1/1
5: 38399/38400
6: 7679/7680
7: 2559/2560
8: 7673/7680
9: 3833/3840
10: 6379/6400
11: 1273/1280
12: 1269/1280
13: 18953/19200
14: 3769/3840
15: 18707/19200
16: 3707/3840
17: 12217/12800
18: 36151/38400
19: 2371/2560
20: 34889/38400
21: 853/960
22: 4157/4800
23: 4037/4800
24: 781/960
25: 1003/1280
26: 577/768
27: 13763/19200
28: 13063/19200
29: 411/640
30: 1157/1920
31: 1079/1920
32: 4999/9600
33: 4601/9600
34: 841/1920
35: 763/1920
36: 229/640
37: 6137/19200
38: 5437/19200
39: 191/768
40: 277/1280
41: 179/960
42: 763/4800
43: 643/4800
44: 107/960
45: 3511/38400
46: 189/2560
47: 2249/38400
48: 583/12800
49: 133/3840
50: 493/19200
51: 71/3840
52: 247/19200
53: 11/1280
54: 7/1280
55: 21/6400
56: 7/3840
57: 7/7680
58: 1/2560
59: 1/7680
60: 1/38400

Dice: [12, 12, 20, 20]
4: 1/1
5: 57599/57600
6: 11519/11520
7: 3839/3840
8: 11513/11520
9: 5753/5760
10: 3193/3200
11: 1913/1920
12: 1909/1920
13: 1269/1280
14: 11377/11520
15: 56599/57600
16: 3749/3840
17: 3099/3200
18: 1841/1920
19: 1819/1920
20: 26897/28800
21: 10579/11520
22: 5763/6400
23: 10141/11520
24: 9881/11520
25: 23983/28800
26: 4639/5760
27: 7447/9600
28: 857/1152
29: 5113/7200
30: 1619/2400
31: 51/80
32: 719/1200
33: 215/384
34: 14977/28800
35: 13823/28800
36: 169/384
37: 481/1200
38: 29/80
39: 781/2400
40: 2087/7200
41: 295/1152
42: 2153/9600
43: 1121/5760
44: 4817/28800
45: 1639/11520
46: 1379/11520
47: 637/6400
48: 941/11520
49: 1903/28800
50: 101/1920
51: 79/1920
52: 101/3200
53: 91/3840
54: 1001/57600
55: 143/11520
56: 11/1280
57: 11/1920
58: 7/1920
59: 7/3200
60: 7/5760
61: 7/11520
62: 1/3840
63: 1/11520
64: 1/57600

Dice: [4, 20, 20, 20]
4: 1/1
5: 31999/32000
6: 6399/6400
7: 6397/6400
8: 6393/6400
9: 31931/32000
10: 31879/32000
11: 6361/6400
12: 6341/6400
13: 1263/1280
14: 31411/32000
15: 31209/32000
16: 6193/6400
17: 1227/1280
18: 6067/6400
19: 29941/32000
20: 29489/32000
21: 1159/1280
22: 5679/6400
23: 5549/6400
24: 27021/32000
25: 13111/16000
26: 507/640
27: 2441/3200
28: 2341/3200
29: 11179/16000
30: 10631/16000
31: 2013/3200
32: 1897/3200
33: 1779/3200
34: 8299/16000
35: 7701/16000
36: 1421/3200
37: 1303/3200
38: 1187/3200
39: 5369/16000
40: 4821/16000
41: 859/3200
42: 759/3200
43: 133/640
44: 2889/16000
45: 4979/32000
46: 851/6400
47: 721/6400
48: 121/1280
49: 2511/32000
50: 2059/32000
51: 333/6400
52: 53/1280
53: 207/6400
54: 791/32000
55: 589/32000
56: 17/1280
57: 59/6400
58: 39/6400
59: 121/32000
60: 69/32000
61: 7/6400
62: 3/6400
63: 1/6400
64: 1/32000

Dice: [6, 20, 20, 20]
4: 1/1
5: 47999/48000
6: 9599/9600
7: 3199/3200
8: 9593/9600
9: 4793/4800
10: 7979/8000
11: 47791/48000
12: 1907/1920
13: 99/100
14: 1183/1200
15: 47069/48000
16: 15587/16000
17: 4639/4800
18: 919/960
19: 3029/3200
20: 44839/48000
21: 11039/12000
22: 723/800
23: 8501/9600
24: 1661/1920
25: 13479/16000
26: 39241/48000
27: 1897/2400
28: 609/800
29: 701/960
30: 16741/24000
31: 1327/2000
32: 377/600
33: 2843/4800
34: 889/1600
35: 6223/12000
36: 5777/12000
37: 711/1600
38: 1957/4800
39: 223/600
40: 673/2000
41: 7259/24000
42: 259/960
43: 191/800
44: 503/2400
45: 8759/48000
46: 2521/16000
47: 259/1920
48: 1099/9600
49: 77/800
50: 961/12000
51: 3161/48000
52: 171/3200
53: 41/960
54: 161/4800
55: 413/16000
56: 931/48000
57: 17/1200
58: 1/100
59: 13/1920
60: 209/48000
61: 21/8000
62: 7/4800
63: 7/9600
64: 1/3200
65: 1/9600
66: 1/48000

Dice: [8, 20, 20, 20]
4: 1/1
5: 63999/64000
6: 12799/12800
7: 12797/12800
8: 12793/12800
9: 6393/6400
10: 31937/32000
11: 6379/6400
12: 6367/6400
13: 31753/32000
14: 6329/6400
15: 31507/32000
16: 6267/6400
17: 249/256
18: 30873/32000
19: 1223/1280
20: 30227/32000
21: 1193/1280
22: 5873/6400
23: 28843/32000
24: 5651/6400
25: 55197/64000
26: 10749/12800
27: 10431/12800
28: 50431/64000
29: 2429/3200
30: 11653/16000
31: 2227/3200
32: 2119/3200
33: 10037/16000
34: 1893/3200
35: 8883/16000
36: 1659/3200
37: 1541/3200
38: 7117/16000
39: 1307/3200
40: 5963/16000
41: 1081/3200
42: 973/3200
43: 4347/16000
44: 771/3200
45: 13569/64000
46: 2369/12800
47: 2051/12800
48: 8803/64000
49: 749/6400
50: 3157/32000
51: 527/6400
52: 87/1280
53: 1773/32000
54: 57/1280
55: 1127/32000
56: 7/256
57: 133/6400
58: 493/32000
59: 71/6400
60: 247/32000
61: 33/6400
62: 21/6400
63: 63/32000
64: 7/6400
65: 7/12800
66: 3/12800
67: 1/12800
68: 1/64000

Dice: [12, 20, 20, 20]
4: 1/1
5: 95999/96000
6: 19199/19200
7: 6399/6400
8: 19193/19200
9: 9593/9600
10: 15979/16000
11: 3193/3200
12: 3189/3200
13: 6367/6400
14: 19057/19200
15: 94999/96000
16: 6309/6400
17: 94181/96000
18: 749/768
19: 6197/6400
20: 92159/96000
21: 3649/3840
22: 30047/32000
23: 17779/19200
24: 3499/3840
25: 1789/2000
26: 1051/1200
27: 5131/6000
28: 333/400
29: 15511/19200
30: 75007/96000
31: 4819/6400
32: 69401/96000
33: 6637/9600
34: 2107/3200
35: 29971/48000
36: 5659/9600
37: 8863/16000
38: 4973/9600
39: 4627/9600
40: 7137/16000
41: 3941/9600
42: 18029/48000
43: 1093/3200
44: 2963/9600
45: 26599/96000
46: 1581/6400
47: 20993/96000
48: 3689/19200
49: 67/400
50: 869/6000
51: 149/1200
52: 211/2000
53: 341/3840
54: 1421/19200
55: 1953/32000
56: 191/3840
57: 3841/96000
58: 203/6400
59: 19/768
60: 1819/96000
61: 91/6400
62: 1001/96000
63: 143/19200
64: 33/6400
65: 11/3200
66: 7/3200
67: 21/16000
68: 7/9600
69: 7/19200
70: 1/6400
71: 1/19200
72: 1/96000

Dice: [20, 20, 20, 20]
4: 1/1
5: 159999/160000
6: 31999/32000
7: 31997/32000
8: 31993/32000
9: 15993/16000
10: 79937/80000
11: 15979/16000
12: 15967/16000
13: 31901/32000
14: 31857/32000
15: 158999/160000
16: 31727/32000
17: 7909/8000
18: 7881/8000
19: 7847/8000
20: 39031/40000
21: 31031/32000
22: 30803/32000
23: 30537/32000
24: 30229/32000
25: 74689/80000
26: 14737/16000
27: 14511/16000
28: 14259/16000
29: 27961/32000
30: 136753/160000
31: 26687/32000
32: 25971/32000
33: 6301/8000
34: 6097/8000
35: 29407/40000
36: 1131/1600
37: 867/1280
38: 4139/6400
39: 3937/6400
40: 93253/160000
41: 8799/16000
42: 8267/16000
43: 7733/16000
44: 7201/16000
45: 66747/160000
46: 2463/6400
47: 2261/6400
48: 413/1280
49: 469/1600
50: 10593/40000
51: 1903/8000
52: 1699/8000
53: 6029/32000
54: 5313/32000
55: 23247/160000
56: 4039/32000
57: 1741/16000
58: 1489/16000
59: 1263/16000
60: 5311/80000
61: 1771/32000
62: 1463/32000
63: 1197/32000
64: 969/32000
65: 969/40000
66: 153/8000
67: 119/8000
68: 91/8000
69: 273/32000
70: 1001/160000
71: 143/32000
72: 99/32000
73: 33/16000
74: 21/16000
75: 63/80000
76: 7/16000
77: 7/32000
78: 3/32000
79: 1/32000
80: 1/160000

Dice: [4, 4, 4, 4, 4]
5: 1/1
6: 1023/1024
7: 509/512
8: 1003/1024
9: 121/128
10: 903/1024
11: 401/512
12: 667/1024
13: 1/2
14: 357/1024
15: 111/512
16: 121/1024
17: 7/128
18: 21/1024
19: 3/512
20: 1/1024

Dice: [4, 4, 4, 4, 6]
5: 1/1
6: 1535/1536
7: 255/256
8: 505/512
9: 185/192
10: 707/768
11: 109/128
12: 1159/1536
13: 487/768
14: 1/2
15: 281/768
16: 377/1536
17: 19/128
18: 61/768
19: 7/192
20: 7/512
21: 1/256
22: 1/1536

Dice: [4, 4, 4, 6, 6]
5: 1/1
6: 2303/2304
7: 383/384
8: 761/768
9: 281/288
10: 727/768
11: 115/128
12: 1907/2304
13: 47/64
14: 239/384
15: 1/2
16: 145/384
17: 17/64
18: 397/2304
19: 13/128
20: 41/768
21: 7/288
22: 7/768
23: 1/384
24: 1/2304

Dice: [4, 4, 6, 6, 6]
5: 1/1
6: 3455/3456
7: 575/576
8: 1145/1152
9: 425/432
10: 833/864
11: 67/72
12: 1013/1152
13: 1397/1728
14: 2483/3456
15: 265/432
16: 1/2
17: 167/432
18: 973/3456
19: 331/1728
20: 139/1152
21: 5/72
22: 31/864
23: 7/432
24: 7/1152
25: 1/576
26: 1/3456

Dice: [4, 6, 6, 6, 6]
5: 1/1
6: 5183/5184
7: 863/864
8: 1721/1728
9: 641/648
10: 5059/5184
11: 823/864
12: 4747/5184
13: 559/648
14: 1369/1728
15: 1829/2592
16: 3143/5184
17: 1/2
18: 2041/5184
19: 763/2592
20: 359/1728
21: 89/648
22: 437/5184
23: 41/864
24: 125/5184
25: 7/648
26: 7/1728
27: 1/864
28: 1/5184

Dice: [6, 6, 6, 6, 6]
5: 1/1
6: 7775/7776
7: 1295/1296
8: 2585/2592
9: 965/972
10: 425/432
11: 209/216
12: 7319/7776
13: 1169/1296
14: 1099/1296
15: 1009/1296
16: 1801/2592
17: 389/648
18: 1/2
19: 259/648
20: 791/2592
21: 287/1296
22: 197/1296
23: 127/1296
24: 457/7776
25: 7/216
26: 7/432
27: 7/972
28: 7/2592
29: 1/1296
30: 1/7776

Dice: [4, 4, 4, 4, 8]
5: 1/1
6: 2047/2048
7: 1021/1024
8: 2027/2048
9: 249/256
10: 963/1024
11: 455/512
12: 835/1024
13: 185/256
14: 315/512
15: 1/2
16: 197/512
17: 71/256
18: 189/1024
19: 57/512
20: 61/1024
21: 7/256
22: 21/2048
23: 3/1024
24: 1/2048

Dice: [4, 4, 4, 6, 8]
5: 1/1
6: 3071/3072
7: 511/512
8: 1017/1024
9: 377/384
10: 983/1024
11: 473/512
12: 1337/1536
13: 409/512
14: 1091/1536
15: 935/1536
16: 1/2
17: 601/1536
18: 445/1536
19: 103/512
20: 199/1536
21: 39/512
22: 41/1024
23: 7/384
24: 7/1024
25: 1/512
26: 1/3072

Dice: [4, 4, 6, 6, 8]
5: 1/1
6: 4607/4608
7: 767/768
8: 1529/1536
9: 569/576
10: 1121/1152
11: 91/96
12: 2095/2304
13: 985/1152
14: 1205/1536
15: 179/256
16: 2777/4608
17: 1/2
18: 1831/4608
19: 77/256
20: 331/1536
21: 167/1152
22: 209/2304
23: 5/96
24: 31/1152
25: 7/576
26: 7/1536
27: 1/768
28: 1/4608

Dice: [4, 6, 6, 6, 8]
5: 1/1
6: 6911/6912
7: 1151/1152
8: 2297/2304
9: 857/864
10: 6787/6912
11: 1111/1152
12: 1079/1152
13: 3097/3456
14: 5815/6912
15: 667/864
16: 1589/2304
17: 2065/3456
18: 1/2
19: 1391/3456
20: 715/2304
21: 197/864
22: 1097/6912
23: 359/3456
24: 73/1152
25: 41/1152
26: 125/6912
27: 7/864
28: 7/2304
29: 1/1152
30: 1/6912

Dice: [6, 6, 6, 6, 8]
5: 1/1
6: 10367/10368
7: 1727/1728
8: 3449/3456
9: 1289/1296
10: 569/576
11: 281/288
12: 4955/5184
13: 25/27
14: 4583/5184
15: 2149/2592
16: 1315/1728
17: 883/1296
18: 1537/2592
19: 1/2
20: 1055/2592
21: 413/1296
22: 413/1728
23: 443/2592
24: 601/5184
25: 2/27
26: 229/5184
27: 7/288
28: 7/576
29: 7/1296
30: 7/3456
31: 1/1728
32: 1/10368

Dice: [4, 4, 4, 8, 8]
5: 1/1
6: 4095/4096
7: 2045/2048
8: 4075/4096
9: 505/512
10: 3973/4096
11: 1931/2048
12: 3697/4096
13: 217/256
14: 1593/2048
15: 711/1024
16: 1229/2048
17: 1/2
18: 819/2048
19: 313/1024
20: 455/2048
21: 39/256
22: 399/4096
23: 117/2048
24: 123/4096
25: 7/512
26: 21/4096
27: 3/2048
28: 1/4096

Dice: [4, 4, 6, 8, 8]
5: 1/1
6: 6143/6144
7: 1023/1024
8: 2041/2048
9: 761/768
10: 1505/1536
11: 123/128
12: 5725/6144
13: 2735/3072
14: 5131/6144
15: 1177/1536
16: 2105/3072
17: 457/768
18: 1/2
19: 311/768
20: 967/3072
21: 359/1536
22: 1013/6144
23: 337/3072
24: 419/6144
25: 5/128
26: 31/1536
27: 7/768
28: 7/2048
29: 1/1024
30: 1/6144

Dice: [4, 6, 6, 8, 8]
5: 1/1
6: 9215/9216
7: 1535/1536
8: 3065/3072
9: 1145/1152
10: 9091/9216
11: 1495/1536
12: 8777/9216
13: 2123/2304
14: 8099/9216
15: 1265/1536
16: 6967/9216
17: 1561/2304
18: 2723/4608
19: 1/2
20: 1885/4608
21: 743/2304
22: 2249/9216
23: 271/1536
24: 1117/9216
25: 181/2304
26: 439/9216
27: 41/1536
28: 125/9216
29: 7/1152
30: 7/3072
31: 1/1536
32: 1/9216

Dice: [6, 6, 6, 8, 8]
5: 1/1
6: 13823/13824
7: 2303/2304
8: 4601/4608
9: 1721/1728
10: 761/768
11: 377/384
12: 495/512
13: 725/768
14: 6301/6912
15: 6001/6912
16: 1249/1536
17: 2581/3456
18: 9271/13824
19: 451/768
20: 1/2
21: 317/768
22: 4553/13824
23: 875/3456
24: 287/1536
25: 911/6912
26: 611/6912
27: 43/768
28: 17/512
29: 7/384
30: 7/768
31: 7/1728
32: 7/4608
33: 1/2304
34: 1/13824

Dice: [4, 4, 8, 8, 8]
5: 1/1
6: 8191/8192
7: 4093/4096
8: 8171/8192
9: 1017/1024
10: 2017/2048
11: 497/512
12: 1943/2048
13: 939/1024
14: 7159/8192
15: 3353/4096
16: 6155/8192
17: 345/512
18: 603/1024
19: 1/2
20: 421/1024
21: 167/512
22: 2037/8192
23: 743/4096
24: 1033/8192
25: 85/1024
26: 105/2048
27: 15/512
28: 31/2048
29: 7/1024
30: 21/8192
31: 3/4096
32: 1/8192

Dice: [4, 6, 8, 8, 8]
5: 1/1
6: 12287/12288
7: 2047/2048
8: 4089/4096
9: 1529/1536
10: 12163/12288
11: 2007/2048
12: 1481/1536
13: 5779/6144
14: 3717/4096
15: 2653/3072
16: 9935/12288
17: 1521/2048
18: 8203/12288
19: 1799/3072
20: 1/2
21: 1273/3072
22: 4085/12288
23: 527/2048
24: 2353/12288
25: 419/3072
26: 379/4096
27: 365/6144
28: 55/1536
29: 41/2048
30: 125/12288
31: 7/1536
32: 7/4096
33: 1/2048
34: 1/12288

Dice: [6, 6, 8, 8, 8]
5: 1/1
6: 18431/18432
7: 3071/3072
8: 6137/6144
9: 2297/2304
10: 1017/1024
11: 505/512
12: 4493/4608
13: 1471/1536
14: 955/1024
15: 115/128
16: 41/48
17: 307/384
18: 1505/2048
19: 2033/3072
20: 1193/2048
21: 1/2
22: 855/2048
23: 1039/3072
24: 543/2048
25: 77/384
26: 7/48
27: 13/128
28: 69/1024
29: 65/1536
30: 115/4608
31: 7/512
32: 7/1024
33: 7/2304
34: 7/6144
35: 1/3072
36: 1/18432

Dice: [4, 8, 8, 8, 8]
5: 1/1
6: 16383/16384
7: 8189/8192
8: 16363/16384
9: 2041/2048
10: 16259/16384
11: 8069/8192
12: 15943/16384
13: 489/512
14: 15227/16384
15: 7329/8192
16: 13927/16384
17: 1629/2048
18: 11983/16384
19: 5401/8192
20: 9523/16384
21: 1/2
22: 6861/16384
23: 2791/8192
24: 4401/16384
25: 419/2048
26: 2457/16384
27: 863/8192
28: 1157/16384
29: 23/512
30: 441/16384
31: 123/8192
32: 125/16384
33: 7/2048
34: 21/16384
35: 3/8192
36: 1/16384

Dice: [6, 8, 8, 8, 8]
5: 1/1
6: 24575/24576
7: 4095/4096
8: 8185/8192
9: 3065/3072
10: 4075/4096
11: 2027/2048
12: 24115/24576
13: 3965/4096
14: 11657/12288
15: 11327/12288
16: 7261/8192
17: 5171/6144
18: 9677/12288
19: 371/512
20: 16079/24576
21: 7109/12288
22: 1/2
23: 5179/12288
24: 8497/24576
25: 141/512
26: 2611/12288
27: 973/6144
28: 931/8192
29: 961/12288
30: 631/12288
31: 131/4096
32: 461/24576
33: 21/2048
34: 21/4096
35: 7/3072
36: 7/8192
37: 1/4096
38: 1/24576

Dice: [8, 8, 8, 8, 8]
5: 1/1
6: 32767/32768
7: 16381/16384
8: 32747/32768
9: 4089/4096
10: 16321/16384
11: 8129/8192
12: 16153/16384
13: 3997/4096
14: 15743/16384
15: 7699/8192
16: 14935/16384
17: 3585/4096
18: 13605/16384
19: 6365/8192
20: 11725/16384
21: 2653/4096
22: 4711/8192
23: 1/2
24: 3481/8192
25: 1443/4096
26: 4659/16384
27: 1827/8192
28: 2779/16384
29: 511/4096
30: 1449/16384
31: 493/8192
32: 641/16384
33: 99/4096
34: 231/16384
35: 63/8192
36: 63/16384
37: 7/4096
38: 21/32768
39: 3/16384
40: 1/32768

Dice: [4, 4, 4, 4, 12]
5: 1/1
6: 3071/3072
7: 511/512
8: 1017/1024
9: 377/384
10: 1475/1536
11: 237/256
12: 449/512
13: 313/384
14: 761/1024
15: 1021/1536
16: 597/1024
17: 1/2
18: 427/1024
19: 515/1536
20: 263/1024
21: 71/384
22: 63/512
23: 19/256
24: 61/1536
25: 7/384
26: 7/1024
27: 1/512
28: 1/3072

Dice: [4, 4, 4, 6, 12]
5: 1/1
6: 4607/4608
7: 767/768
8: 1529/1536
9: 569/576
10: 1495/1536
11: 243/256
12: 2105/2304
13: 665/768
14: 413/512
15: 425/576
16: 339/512
17: 149/256
18: 1/2
19: 107/256
20: 173/512
21: 151/576
22: 99/512
23: 103/768
24: 199/2304
25: 13/256
26: 41/1536
27: 7/576
28: 7/1536
29: 1/768
30: 1/4608

Dice: [4, 4, 6, 6, 12]
5: 1/1
6: 6911/6912
7: 1151/1152
8: 2297/2304
9: 857/864
10: 1697/1728
11: 139/144
12: 3247/3456
13: 1561/1728
14: 2959/3456
15: 115/144
16: 1265/1728
17: 569/864
18: 1003/1728
19: 1/2
20: 725/1728
21: 295/864
22: 463/1728
23: 29/144
24: 497/3456
25: 167/1728
26: 209/3456
27: 5/144
28: 31/1728
29: 7/864
30: 7/2304
31: 1/1152
32: 1/6912

Dice: [4, 6, 6, 6, 12]
5: 1/1
6: 10367/10368
7: 1727/1728
8: 3449/3456
9: 1289/1296
10: 10243/10368
11: 1687/1728
12: 1655/1728
13: 4825/5184
14: 515/576
15: 4393/5184
16: 1367/1728
17: 1255/1728
18: 1697/2592
19: 2999/5184
20: 1/2
21: 2185/5184
22: 895/2592
23: 473/1728
24: 361/1728
25: 791/5184
26: 61/576
27: 359/5184
28: 73/1728
29: 41/1728
30: 125/10368
31: 7/1296
32: 7/3456
33: 1/1728
34: 1/10368

Dice: [6, 6, 6, 6, 12]
5: 1/1
6: 15551/15552
7: 2591/2592
8: 5177/5184
9: 1937/1944
10: 857/864
11: 425/432
12: 7547/7776
13: 77/81
14: 4783/5184
15: 6887/7776
16: 4351/5184
17: 127/162
18: 11207/15552
19: 1687/2592
20: 2989/5184
21: 1/2
22: 2195/5184
23: 905/2592
24: 4345/15552
25: 35/162
26: 833/5184
27: 889/7776
28: 401/5184
29: 4/81
30: 229/7776
31: 7/432
32: 7/864
33: 7/1944
34: 7/5184
35: 1/2592
36: 1/15552

Dice: [4, 4, 4, 8, 12]
5: 1/1
6: 6143/6144
7: 1023/1024
8: 2041/2048
9: 761/768
10: 2007/2048
11: 985/1024
12: 1915/2048
13: 115/128
14: 5233/6144
15: 2443/3072
16: 1495/2048
17: 505/768
18: 297/512
19: 1/2
20: 215/512
21: 263/768
22: 553/2048
23: 629/3072
24: 911/6144
25: 13/128
26: 133/2048
27: 39/1024
28: 41/2048
29: 7/768
30: 7/2048
31: 1/1024
32: 1/6144

Dice: [4, 4, 6, 8, 12]
5: 1/1
6: 9215/9216
7: 1535/1536
8: 3065/3072
9: 1145/1152
10: 2273/2304
11: 187/192
12: 8797/9216
13: 4271/4608
14: 1367/1536
15: 3887/4608
16: 7261/9216
17: 139/192
18: 669/1024
19: 2663/4608
20: 1/2
21: 1945/4608
22: 355/1024
23: 53/192
24: 1955/9216
25: 721/4608
26: 169/1536
27: 337/4608
28: 419/9216
29: 5/192
30: 31/2304
31: 7/1152
32: 7/3072
33: 1/1536
34: 1/9216

Dice: [4, 6, 6, 8, 12]
5: 1/1
6: 13823/13824
7: 2303/2304
8: 4601/4608
9: 1721/1728
10: 13699/13824
11: 2263/2304
12: 13385/13824
13: 3275/3456
14: 6353/6912
15: 127/144
16: 5777/6912
17: 2699/3456
18: 1655/2304
19: 187/288
20: 995/1728
21: 1/2
22: 733/1728
23: 101/288
24: 649/2304
25: 757/3456
26: 1135/6912
27: 17/144
28: 559/6912
29: 181/3456
30: 439/13824
31: 41/2304
32: 125/13824
33: 7/1728
34: 7/4608
35: 1/2304
36: 1/13824

Dice: [6, 6, 6, 8, 12]
5: 1/1
6: 20735/20736
7: 3455/3456
8: 6905/6912
9: 2585/2592
10: 1145/1152
11: 569/576
12: 751/768
13: 1109/1152
14: 19513/20736
15: 4727/5184
16: 1511/1728
17: 4295/5184
18: 8029/10368
19: 77/108
20: 2231/3456
21: 2975/5184
22: 1/2
23: 2209/5184
24: 1225/3456
25: 31/108
26: 2339/10368
27: 889/5184
28: 217/1728
29: 457/5184
30: 1223/20736
31: 43/1152
32: 17/768
33: 7/576
34: 7/1152
35: 7/2592
36: 7/6912
37: 1/3456
38: 1/20736

Dice: [4, 4, 8, 8, 12]
5: 1/1
6: 12287/12288
7: 2047/2048
8: 4089/4096
9: 1529/1536
10: 3041/3072
11: 251/256
12: 989/1024
13: 1451/1536
14: 5627/6144
15: 2699/3072
16: 1705/2048
17: 1195/1536
18: 8797/12288
19: 3979/6144
20: 2355/4096
21: 1/2
22: 1741/4096
23: 2165/6144
24: 3491/12288
25: 341/1536
26: 343/2048
27: 373/3072
28: 517/6144
29: 85/1536
30: 35/1024
31: 5/256
32: 31/3072
33: 7/1536
34: 7/4096
35: 1/2048
36: 1/12288

Dice: [4, 6, 8, 8, 12]
5: 1/1
6: 18431/18432
7: 3071/3072
8: 6137/6144
9: 2297/2304
10: 18307/18432
11: 3031/3072
12: 2249/2304
13: 8851/9216
14: 8647/9216
15: 8375/9216
16: 8029/9216
17: 7607/9216
18: 4741/6144
19: 3275/4608
20: 11869/18432
21: 5281/9216
22: 1/2
23: 3935/9216
24: 6563/18432
25: 1333/4608
26: 1403/6144
27: 1609/9216
28: 1187/9216
29: 841/9216
30: 569/9216
31: 365/9216
32: 55/2304
33: 41/3072
34: 125/18432
35: 7/2304
36: 7/6144
37: 1/3072
38: 1/18432

Dice: [6, 6, 8, 8, 12]
5: 1/1
6: 27647/27648
7: 4607/4608
8: 9209/9216
9: 3449/3456
10: 1529/1536
11: 761/768
12: 6797/6912
13: 2239/2304
14: 26405/27648
15: 4295/4608
16: 2771/3072
17: 2987/3456
18: 5659/6912
19: 49/64
20: 9757/13824
21: 4427/6912
22: 7897/13824
23: 1/2
24: 5927/13824
25: 2485/6912
26: 4067/13824
27: 15/64
28: 1253/6912
29: 469/3456
30: 301/3072
31: 313/4608
32: 1243/27648
33: 65/2304
34: 115/6912
35: 7/768
36: 7/1536
37: 7/3456
38: 7/9216
39: 1/4608
40: 1/27648

Dice: [4, 8, 8, 8, 12]
5: 1/1
6: 24575/24576
7: 4095/4096
8: 8185/8192
9: 3065/3072
10: 24451/24576
11: 4055/4096
12: 8045/8192
13: 745/768
14: 3903/4096
15: 5711/6144
16: 3683/4096
17: 441/512
18: 20051/24576
19: 9377/12288
20: 5765/8192
21: 1963/3072
22: 3505/6144
23: 1/2
24: 2639/6144
25: 1109/3072
26: 2427/8192
27: 2911/12288
28: 4525/24576
29: 71/512
30: 413/4096
31: 433/6144
32: 193/4096
33: 23/768
34: 147/8192
35: 41/4096
36: 125/24576
37: 7/3072
38: 7/8192
39: 1/4096
40: 1/24576

Dice: [6, 8, 8, 8, 12]
5: 1/1
6: 36863/36864
7: 6143/6144
8: 12281/12288
9: 4601/4608
10: 2041/2048
11: 1017/1024
12: 36403/36864
13: 6013/6144
14: 11867/12288
15: 4367/4608
16: 5675/6144
17: 2743/3072
18: 31517/36864
19: 4975/6144
20: 3103/4096
21: 179/256
22: 7813/12288
23: 1165/2048
24: 1/2
25: 883/2048
26: 4475/12288
27: 77/256
28: 993/4096
29: 1169/6144
30: 5347/36864
31: 329/3072
32: 469/6144
33: 241/4608
34: 421/12288
35: 131/6144
36: 461/36864
37: 7/1024
38: 7/2048
39: 7/4608
40: 7/12288
41: 1/6144
42: 1/36864

Dice: [8, 8, 8, 8, 12]
5: 1/1
6: 49151/49152
7: 8191/8192
8: 16377/16384
9: 6137/6144
10: 8171/8192
11: 4075/4096
12: 8115/8192
13: 2015/2048
14: 47869/49152
15: 23587/24576
16: 15411/16384
17: 2813/3072
18: 43469/49152
19: 6933/8192
20: 13131/16384
21: 4609/6144
22: 11357/16384
23: 15521/24576
24: 27851/49152
25: 1/2
26: 21301/49152
27: 9055/24576
28: 5027/16384
29: 1535/6144
30: 3253/16384
31: 1259/8192
32: 5683/49152
33: 259/3072
34: 973/16384
35: 989/24576
36: 1283/49152
37: 33/2048
38: 77/8192
39: 21/4096
40: 21/8192
41: 7/6144
42: 7/16384
43: 1/8192
44: 1/49152

Dice: [4, 4, 4, 12, 12]
5: 1/1
6: 9215/9216
7: 1535/1536
8: 3065/3072
9: 1145/1152
10: 3031/3072
11: 499/512
12: 2939/3072
13: 179/192
14: 173/192
15: 497/576
16: 157/192
17: 49/64
18: 3257/4608
19: 493/768
20: 293/512
21: 1/2
22: 219/512
23: 275/768
24: 1351/4608
25: 15/64
26: 35/192
27: 79/576
28: 19/192
29: 13/192
30: 133/3072
31: 13/512
32: 41/3072
33: 7/1152
34: 7/3072
35: 1/1536
36: 1/9216

Dice: [4, 4, 6, 12, 12]
5: 1/1
6: 13823/13824
7: 2303/2304
8: 4601/4608
9: 1721/1728
10: 3425/3456
11: 283/288
12: 13405/13824
13: 6575/6912
14: 12809/13824
15: 1547/1728
16: 1481/1728
17: 1403/1728
18: 1751/2304
19: 2425/3456
20: 4409/6912
21: 985/1728
22: 1/2
23: 743/1728
24: 2503/6912
25: 1031/3456
26: 553/2304
27: 325/1728
28: 247/1728
29: 181/1728
30: 1015/13824
31: 337/6912
32: 419/13824
33: 5/288
34: 31/3456
35: 7/1728
36: 7/4608
37: 1/2304
38: 1/13824

Dice: [4, 6, 6, 12, 12]
5: 1/1
6: 20735/20736
7: 3455/3456
8: 6905/6912
9: 2585/2592
10: 20611/20736
11: 3415/3456
12: 20297/20736
13: 5003/5184
14: 6539/6912
15: 1061/1152
16: 18445/20736
17: 1471/1728
18: 8359/10368
19: 163/216
20: 803/1152
21: 3289/5184
22: 5891/10368
23: 1/2
24: 4477/10368
25: 1895/5184
26: 349/1152
27: 53/216
28: 2009/10368
29: 257/1728
30: 2291/20736
31: 91/1152
32: 373/6912
33: 181/5184
34: 439/20736
35: 41/3456
36: 125/20736
37: 7/2592
38: 7/6912
39: 1/3456
40: 1/20736

Dice: [6, 6, 6, 12, 12]
5: 1/1
6: 31103/31104
7: 5183/5184
8: 10361/10368
9: 3881/3888
10: 1721/1728
11: 857/864
12: 1135/1152
13: 1685/1728
14: 415/432
15: 14635/15552
16: 9493/10368
17: 2291/2592
18: 8767/10368
19: 4151/5184
20: 1943/2592
21: 10775/15552
22: 1091/1728
23: 979/1728
24: 1/2
25: 749/1728
26: 637/1728
27: 4777/15552
28: 649/2592
29: 1033/5184
30: 1601/10368
31: 301/2592
32: 875/10368
33: 917/15552
34: 17/432
35: 43/1728
36: 17/1152
37: 7/864
38: 7/1728
39: 7/3888
40: 7/10368
41: 1/5184
42: 1/31104

Dice: [4, 4, 8, 12, 12]
5: 1/1
6: 18431/18432
7: 3071/3072
8: 6137/6144
9: 2297/2304
10: 4577/4608
11: 379/384
12: 1501/1536
13: 2219/2304
14: 1933/2048
15: 8467/9216
16: 1817/2048
17: 163/192
18: 7409/9216
19: 3467/4608
20: 2135/3072
21: 81/128
22: 1307/2304
23: 1/2
24: 997/2304
25: 47/128
26: 937/3072
27: 1141/4608
28: 1807/9216
29: 29/192
30: 231/2048
31: 749/9216
32: 115/2048
33: 85/2304
34: 35/1536
35: 5/384
36: 31/4608
37: 7/2304
38: 7/6144
39: 1/3072
40: 1/18432

Dice: [4, 6, 8, 12, 12]
5: 1/1
6: 27647/27648
7: 4607/4608
8: 9209/9216
9: 3449/3456
10: 27523/27648
11: 4567/4608
12: 3401/3456
13: 13459/13824
14: 26509/27648
15: 3245/3456
16: 25253/27648
17: 12187/13824
18: 23315/27648
19: 5519/6912
20: 10333/13824
21: 199/288
22: 2903/4608
23: 3911/6912
24: 1/2
25: 3001/6912
26: 1705/4608
27: 89/288
28: 3491/13824
29: 1393/6912
30: 4333/27648
31: 1637/13824
32: 2395/27648
33: 211/3456
34: 1139/27648
35: 365/13824
36: 55/3456
37: 41/4608
38: 125/27648
39: 7/3456
40: 7/9216
41: 1/4608
42: 1/27648

Dice: [6, 6, 8, 12, 12]
5: 1/1
6: 41471/41472
7: 6911/6912
8: 13817/13824
9: 5177/5184
10: 2297/2304
11: 1145/1152
12: 10253/10368
13: 3391/3456
14: 10057/10368
15: 3299/3456
16: 6457/6912
17: 1177/1296
18: 36335/41472
19: 5791/6912
20: 32899/41472
21: 3851/5184
22: 2375/3456
23: 271/432
24: 1463/2592
25: 1/2
26: 1129/2592
27: 161/432
28: 1081/3456
29: 1333/5184
30: 8573/41472
31: 1121/6912
32: 5137/41472
33: 119/1296
34: 455/6912
35: 157/3456
36: 311/10368
37: 65/3456
38: 115/10368
39: 7/1152
40: 7/2304
41: 7/5184
42: 7/13824
43: 1/6912
44: 1/41472

Dice: [4, 8, 8, 12, 12]
5: 1/1
6: 36863/36864
7: 6143/6144
8: 12281/12288
9: 4601/4608
10: 36739/36864
11: 6103/6144
12: 4047/4096
13: 1129/1152
14: 35705/36864
15: 17563/18432
16: 11455/12288
17: 4175/4608
18: 32215/36864
19: 15401/18432
20: 9721/12288
21: 569/768
22: 12637/18432
23: 5771/9216
24: 10393/18432
25: 1/2
26: 8039/18432
27: 3445/9216
28: 5795/18432
29: 199/768
30: 2567/12288
31: 3031/18432
32: 4649/36864
33: 433/4608
34: 833/12288
35: 869/18432
36: 1159/36864
37: 23/1152
38: 49/4096
39: 41/6144
40: 125/36864
41: 7/4608
42: 7/12288
43: 1/6144
44: 1/36864

Dice: [6, 8, 8, 12, 12]
5: 1/1
6: 55295/55296
7: 9215/9216
8: 18425/18432
9: 6905/6912
10: 3065/3072
11: 1529/1536
12: 54835/55296
13: 9085/9216
14: 3377/3456
15: 26681/27648
16: 1943/2048
17: 12823/13824
18: 173/192
19: 4003/4608
20: 45919/55296
21: 21739/27648
22: 40733/55296
23: 4715/6912
24: 17245/27648
25: 7777/13824
26: 1/2
27: 6047/13824
28: 10403/27648
29: 2197/6912
30: 14563/55296
31: 5909/27648
32: 9377/55296
33: 605/4608
34: 19/192
35: 1001/13824
36: 105/2048
37: 967/27648
38: 79/3456
39: 131/9216
40: 461/55296
41: 7/1536
42: 7/3072
43: 7/6912
44: 7/18432
45: 1/9216
46: 1/55296

Dice: [8, 8, 8, 12, 12]
5: 1/1
6: 73727/73728
7: 12287/12288
8: 24569/24576
9: 9209/9216
10: 4089/4096
11: 2041/2048
12: 12211/12288
13: 1013/1024
14: 6037/6144
15: 1121/1152
16: 5899/6144
17: 2897/3072
18: 1415/1536
19: 2747/3072
20: 2647/3072
21: 7589/9216
22: 19163/24576
23: 8981/12288
24: 49949/73728
25: 953/1536
26: 1723/3072
27: 1/2
28: 1349/3072
29: 583/1536
30: 23779/73728
31: 3307/12288
32: 5413/24576
33: 1627/9216
34: 425/3072
35: 325/3072
36: 121/1536
37: 175/3072
38: 245/6144
39: 31/1152
40: 107/6144
41: 11/1024
42: 77/12288
43: 7/2048
44: 7/4096
45: 7/9216
46: 7/24576
47: 1/12288
48: 1/73728

Dice: [4, 4, 12, 12, 12]
5: 1/1
6: 27647/27648
7: 4607/4608
8: 9209/9216
9: 3449/3456
10: 6881/6912
11: 571/576
12: 2269/2304
13: 3371/3456
14: 6653/6912
15: 817/864
16: 2129/2304
17: 3101/3456
18: 23911/27648
19: 11425/13824
20: 801/1024
21: 211/288
22: 2345/3456
23: 1073/1728
24: 1939/3456
25: 1/2
26: 1517/3456
27: 655/1728
28: 1111/3456
29: 77/288
30: 223/1024
31: 2399/13824
32: 3737/27648
33: 355/3456
34: 175/2304
35: 47/864
36: 259/6912
37: 85/3456
38: 35/2304
39: 5/576
40: 31/6912
41: 7/3456
42: 7/9216
43: 1/4608
44: 1/27648

Dice: [4, 6, 12, 12, 12]
5: 1/1
6: 41471/41472
7: 6911/6912
8: 13817/13824
9: 5177/5184
10: 41347/41472
11: 6871/6912
12: 5129/5184
13: 20371/20736
14: 3361/3456
15: 19889/20736
16: 2441/2592
17: 2119/2304
18: 37015/41472
19: 8915/10368
20: 11357/13824
21: 16127/20736
22: 30227/41472
23: 2335/3456
24: 3209/5184
25: 5807/10368
26: 1/2
27: 4561/10368
28: 1975/5184
29: 1121/3456
30: 11245/41472
31: 4609/20736
32: 2467/13824
33: 1453/10368
34: 4457/41472
35: 185/2304
36: 151/2592
37: 847/20736
38: 95/3456
39: 365/20736
40: 55/5184
41: 41/6912
42: 125/41472
43: 7/5184
44: 7/13824
45: 1/6912
46: 1/41472

Dice: [6, 6, 12, 12, 12]
5: 1/1
6: 62207/62208
7: 10367/10368
8: 20729/20736
9: 7769/7776
10: 3449/3456
11: 1721/1728
12: 15437/15552
13: 5119/5184
14: 20321/20736
15: 1117/1152
16: 19819/20736
17: 2431/2592
18: 9491/10368
19: 4603/5184
20: 4433/5184
21: 4235/5184
22: 16039/20736
23: 7519/10368
24: 13951/20736
25: 3199/5184
26: 5797/10368
27: 1/2
28: 4571/10368
29: 1985/5184
30: 6785/20736
31: 2849/10368
32: 4697/20736
33: 949/5184
34: 751/5184
35: 581/5184
36: 877/10368
37: 161/2592
38: 917/20736
39: 35/1152
40: 415/20736
41: 65/5184
42: 115/15552
43: 7/1728
44: 7/3456
45: 7/7776
46: 7/20736
47: 1/10368
48: 1/62208

Dice: [4, 8, 12, 12, 12]
5: 1/1
6: 55295/55296
7: 9215/9216
8: 18425/18432
9: 6905/6912
10: 55171/55296
11: 9175/9216
12: 6095/6144
13: 1705/1728
14: 6767/6912
15: 3347/3456
16: 733/768
17: 809/864
18: 16841/18432
19: 24497/27648
20: 15725/18432
21: 5633/6912
22: 42671/55296
23: 20009/27648
24: 37139/55296
25: 355/576
26: 1931/3456
27: 1/2
28: 1525/3456
29: 221/576
30: 18157/55296
31: 7639/27648
32: 12625/55296
33: 1279/6912
34: 2707/18432
35: 3151/27648
36: 1591/18432
37: 55/864
38: 35/768
39: 109/3456
40: 145/6912
41: 23/1728
42: 49/6144
43: 41/9216
44: 125/55296
45: 7/6912
46: 7/18432
47: 1/9216
48: 1/55296

Dice: [6, 8, 12, 12, 12]
5: 1/1
6: 82943/82944
7: 13823/13824
8: 27641/27648
9: 10361/10368
10: 4601/4608
11: 2297/2304
12: 82483/82944
13: 13693/13824
14: 81679/82944
15: 20251/20736
16: 3337/3456
17: 19721/20736
18: 77347/82944
19: 1397/1536
20: 73127/82944
21: 17599/20736
22: 11207/13824
23: 995/1296
24: 59743/82944
25: 9247/13824
26: 50963/82944
27: 5783/10368
28: 1/2
29: 4585/10368
30: 31981/82944
31: 4577/13824
32: 23201/82944
33: 301/1296
34: 2617/13824
35: 3137/20736
36: 9817/82944
37: 139/1536
38: 5597/82944
39: 1015/20736
40: 119/3456
41: 485/20736
42: 1265/82944
43: 131/13824
44: 461/82944
45: 7/2304
46: 7/4608
47: 7/10368
48: 7/27648
49: 1/13824
50: 1/82944

Dice: [8, 8, 12, 12, 12]
5: 1/1
6: 110591/110592
7: 18431/18432
8: 36857/36864
9: 13817/13824
10: 6137/6144
11: 3065/3072
12: 18355/18432
13: 1525/1536
14: 109307/110592
15: 54301/55296
16: 11959/12288
17: 3323/3456
18: 104659/110592
19: 1899/2048
20: 33317/36864
21: 1345/1536
22: 46597/55296
23: 22253/27648
24: 42157/55296
25: 9893/13824
26: 73567/110592
27: 33833/55296
28: 20513/36864
29: 1/2
30: 16351/36864
31: 21463/55296
32: 37025/110592
33: 3931/13824
34: 13139/55296
35: 5395/27648
36: 8699/55296
37: 191/1536
38: 3547/36864
39: 149/2048
40: 5933/110592
41: 133/3456
42: 329/12288
43: 995/55296
44: 1285/110592
45: 11/1536
46: 77/18432
47: 7/3072
48: 7/6144
49: 7/13824
50: 7/36864
51: 1/18432
52: 1/110592

Dice: [4, 12, 12, 12, 12]
5: 1/1
6: 82943/82944
7: 13823/13824
8: 27641/27648
9: 10361/10368
10: 82819/82944
11: 13783/13824
12: 9167/9216
13: 2569/2592
14: 3029/3072
15: 40597/41472
16: 26801/27648
17: 3307/3456
18: 78047/82944
19: 38201/41472
20: 8267/9216
21: 2251/2592
22: 69283/82944
23: 11027/13824
24: 62687/82944
25: 7361/10368
26: 18269/27648
27: 25249/41472
28: 46027/82944
29: 1/2
30: 36917/82944
31: 16223/41472
32: 9379/27648
33: 3007/10368
34: 20257/82944
35: 2797/13824
36: 13661/82944
37: 341/2592
38: 949/9216
39: 3271/41472
40: 4897/82944
41: 149/3456
42: 847/27648
43: 875/41472
44: 43/3072
45: 23/2592
46: 49/9216
47: 41/13824
48: 125/82944
49: 7/10368
50: 7/27648
51: 1/13824
52: 1/82944

Dice: [6, 12, 12, 12, 12]
5: 1/1
6: 124415/124416
7: 20735/20736
8: 41465/41472
9: 15545/15552
10: 6905/6912
11: 3449/3456
12: 123955/124416
13: 20605/20736
14: 20525/20736
15: 61235/62208
16: 40513/41472
17: 10025/10368
18: 59347/62208
19: 4861/5184
20: 38053/41472
21: 18523/20736
22: 17929/20736
23: 17243/20736
24: 32933/41472
25: 3901/5184
26: 14663/20736
27: 6827/10368
28: 25181/41472
29: 11489/20736
30: 1/2
31: 9247/20736
32: 16291/41472
33: 3541/10368
34: 6073/20736
35: 1283/5184
36: 8539/41472
37: 3493/20736
38: 2807/20736
39: 2213/20736
40: 3419/41472
41: 323/5184
42: 2861/62208
43: 343/10368
44: 959/41472
45: 973/62208
46: 211/20736
47: 131/20736
48: 461/124416
49: 7/3456
50: 7/6912
51: 7/15552
52: 7/41472
53: 1/20736
54: 1/124416

Dice: [8, 12, 12, 12, 12]
5: 1/1
6: 165887/165888
7: 27647/27648
8: 55289/55296
9: 20729/20736
10: 9209/9216
11: 4601/4608
12: 27571/27648
13: 2293/2304
14: 82301/82944
15: 40973/41472
16: 27151/27648
17: 20197/20736
18: 79915/82944
19: 13133/13824
20: 25801/27648
21: 18925/20736
22: 8185/9216
23: 35641/41472
24: 68545/82944
25: 5455/6912
26: 62045/82944
27: 29165/41472
28: 18119/27648
29: 12545/20736
30: 22931/41472
31: 1/2
32: 18541/41472
33: 8191/20736
34: 9529/27648
35: 12307/41472
36: 20899/82944
37: 1457/6912
38: 14399/82944
39: 5831/41472
40: 1031/9216
41: 1811/20736
42: 1847/27648
43: 691/13824
44: 3029/82944
45: 539/20736
46: 497/27648
47: 499/41472
48: 643/82944
49: 11/2304
50: 77/27648
51: 7/4608
52: 7/9216
53: 7/20736
54: 7/55296
55: 1/27648
56: 1/165888

Dice: [12, 12, 12, 12, 12]
5: 1/1
6: 248831/248832
7: 41471/41472
8: 82937/82944
9: 31097/31104
10: 13817/13824
11: 6905/6912
12: 41395/41472
13: 3445/3456
14: 27505/27648
15: 123415/124416
16: 81943/82944
17: 5093/5184
18: 8987/9216
19: 40049/41472
20: 79103/82944
21: 29201/31104
22: 25457/27648
23: 12431/13824
24: 217493/248832
25: 4381/5184
26: 67379/82944
27: 32177/41472
28: 61039/82944
29: 7183/10368
30: 53669/82944
31: 24851/41472
32: 45617/82944
33: 1/2
34: 37327/82944
35: 16621/41472
36: 29275/82944
37: 3185/10368
38: 21905/82944
39: 9295/41472
40: 15565/82944
41: 803/5184
42: 31339/248832
43: 1393/13824
44: 2191/27648
45: 1903/31104
46: 3841/82944
47: 1423/41472
48: 229/9216
49: 91/5184
50: 1001/82944
51: 1001/124416
52: 143/27648
53: 11/3456
54: 77/41472
55: 7/6912
56: 7/13824
57: 7/31104
58: 7/82944
59: 1/41472
60: 1/248832

Dice: [4, 4, 4, 4, 20]
5: 1/1
6: 5119/5120
7: 2557/2560
8: 5099/5120
9: 633/640
10: 2499/2560
11: 1223/1280
12: 2371/2560
13: 569/640
14: 4331/5120
15: 409/512
16: 3839/5120
17: 7/10
18: 13/20
19: 3/5
20: 11/20
21: 1/2
22: 9/20
23: 2/5
24: 7/20
25: 3/10
26: 1281/5120
27: 103/512
28: 789/5120
29: 71/640
30: 189/2560
31: 57/1280
32: 61/2560
33: 7/640
34: 21/5120
35: 3/2560
36: 1/5120

Dice: [4, 4, 4, 6, 20]
5: 1/1
6: 7679/7680
7: 1279/1280
8: 2553/2560
9: 953/960
10: 2519/2560
11: 1241/1280
12: 3641/3840
13: 1177/1280
14: 2263/2560
15: 809/960
16: 2041/2560
17: 959/1280
18: 1075/1536
19: 13/20
20: 3/5
21: 11/20
22: 1/2
23: 9/20
24: 2/5
25: 7/20
26: 461/1536
27: 321/1280
28: 519/2560
29: 151/960
30: 297/2560
31: 103/1280
32: 199/3840
33: 39/1280
34: 41/2560
35: 7/960
36: 7/2560
37: 1/1280
38: 1/7680

Dice: [4, 4, 6, 6, 20]
5: 1/1
6: 11519/11520
7: 1919/1920
8: 3833/3840
9: 1433/1440
10: 2849/2880
11: 47/48
12: 5551/5760
13: 2713/2880
14: 5263/5760
15: 211/240
16: 2417/2880
17: 229/288
18: 2873/3840
19: 1343/1920
20: 7487/11520
21: 3/5
22: 11/20
23: 1/2
24: 9/20
25: 2/5
26: 4033/11520
27: 577/1920
28: 967/3840
29: 59/288
30: 463/2880
31: 29/240
32: 497/5760
33: 167/2880
34: 209/5760
35: 1/48
36: 31/2880
37: 7/1440
38: 7/3840
39: 1/1920
40: 1/11520

Dice: [4, 6, 6, 6, 20]
5: 1/1
6: 17279/17280
7: 2879/2880
8: 5753/5760
9: 2153/2160
10: 3431/3456
11: 2839/2880
12: 2807/2880
13: 8281/8640
14: 899/960
15: 7849/8640
16: 2519/2880
17: 2407/2880
18: 13699/17280
19: 1613/2160
20: 805/1152
21: 1871/2880
22: 10367/17280
23: 11/20
24: 1/2
25: 9/20
26: 6913/17280
27: 1009/2880
28: 347/1152
29: 547/2160
30: 3581/17280
31: 473/2880
32: 361/2880
33: 791/8640
34: 61/960
35: 359/8640
36: 73/2880
37: 41/2880
38: 25/3456
39: 7/2160
40: 7/5760
41: 1/2880
42: 1/17280

Dice: [6, 6, 6, 6, 20]
5: 1/1
6: 25919/25920
7: 4319/4320
8: 8633/8640
9: 3233/3240
10: 1433/1440
11: 713/720
12: 12731/12960
13: 131/135
14: 8239/8640
15: 12071/12960
16: 7807/8640
17: 47/54
18: 10787/12960
19: 569/720
20: 1073/1440
21: 2261/3240
22: 5609/8640
23: 2591/4320
24: 2851/5184
25: 1/2
26: 2333/5184
27: 1729/4320
28: 3031/8640
29: 979/3240
30: 367/1440
31: 151/720
32: 2173/12960
33: 7/54
34: 833/8640
35: 889/12960
36: 401/8640
37: 4/135
38: 229/12960
39: 7/720
40: 7/1440
41: 7/3240
42: 7/8640
43: 1/4320
44: 1/25920

Dice: [4, 4, 4, 8, 20]
5: 1/1
6: 10239/10240
7: 5117/5120
8: 10219/10240
9: 1273/1280
10: 10117/10240
11: 5003/5120
12: 9841/10240
13: 601/640
14: 9329/10240
15: 4491/5120
16: 8581/10240
17: 1017/1280
18: 7659/10240
19: 3581/5120
20: 1331/2048
21: 3/5
22: 11/20
23: 1/2
24: 9/20
25: 2/5
26: 717/2048
27: 1539/5120
28: 2581/10240
29: 263/1280
30: 1659/10240
31: 629/5120
32: 911/10240
33: 39/640
34: 399/10240
35: 117/5120
36: 123/10240
37: 7/1280
38: 21/10240
39: 3/5120
40: 1/10240

Dice: [4, 4, 6, 8, 20]
5: 1/1
6: 15359/15360
7: 2559/2560
8: 5113/5120
9: 1913/1920
10: 3809/3840
11: 63/64
12: 14941/15360
13: 7343/7680
14: 2391/2560
15: 6959/7680
16: 2681/3072
17: 267/320
18: 3041/3840
19: 1433/1920
20: 3577/5120
21: 1663/2560
22: 1843/3072
23: 11/20
24: 1/2
25: 9/20
26: 1229/3072
27: 897/2560
28: 1543/5120
29: 487/1920
30: 799/3840
31: 53/320
32: 391/3072
33: 721/7680
34: 169/2560
35: 337/7680
36: 419/15360
37: 1/64
38: 31/3840
39: 7/1920
40: 7/5120
41: 1/2560
42: 1/15360

Dice: [4, 6, 6, 8, 20]
5: 1/1
6: 23039/23040
7: 3839/3840
8: 7673/7680
9: 2873/2880
10: 4583/4608
11: 3799/3840
12: 22601/23040
13: 5579/5760
14: 10961/11520
15: 223/240
16: 2077/2304
17: 5003/5760
18: 3829/4608
19: 3031/3840
20: 3431/4608
21: 2009/2880
22: 997/1536
23: 2303/3840
24: 12671/23040
25: 1/2
26: 10369/23040
27: 1537/3840
28: 539/1536
29: 871/2880
30: 1177/4608
31: 809/3840
32: 779/4608
33: 757/5760
34: 227/2304
35: 17/240
36: 559/11520
37: 181/5760
38: 439/23040
39: 41/3840
40: 25/4608
41: 7/2880
42: 7/7680
43: 1/3840
44: 1/23040

Dice: [6, 6, 6, 8, 20]
5: 1/1
6: 34559/34560
7: 5759/5760
8: 11513/11520
9: 4313/4320
10: 1913/1920
11: 953/960
12: 1263/1280
13: 1877/1920
14: 33337/34560
15: 8183/8640
16: 2663/2880
17: 7751/8640
18: 29881/34560
19: 1589/1920
20: 1007/1280
21: 713/960
22: 1337/1920
23: 2801/4320
24: 1381/2304
25: 3167/5760
26: 1/2
27: 2593/5760
28: 923/2304
29: 1519/4320
30: 583/1920
31: 247/960
32: 273/1280
33: 331/1920
34: 4679/34560
35: 889/8640
36: 217/2880
37: 457/8640
38: 1223/34560
39: 43/1920
40: 17/1280
41: 7/960
42: 7/1920
43: 7/4320
44: 7/11520
45: 1/5760
46: 1/34560

Dice: [4, 4, 8, 8, 20]
5: 1/1
6: 20479/20480
7: 10237/10240
8: 20459/20480
9: 2553/2560
10: 5089/5120
11: 253/256
12: 1003/1024
13: 495/512
14: 9723/10240
15: 4747/5120
16: 9211/10240
17: 2219/2560
18: 4247/5120
19: 1009/1280
20: 3809/5120
21: 357/512
22: 13291/20480
23: 6141/10240
24: 11263/20480
25: 1/2
26: 9217/20480
27: 4099/10240
28: 7189/20480
29: 155/512
30: 1311/5120
31: 271/1280
32: 873/5120
33: 341/2560
34: 1029/10240
35: 373/5120
36: 517/10240
37: 17/512
38: 21/1024
39: 3/256
40: 31/5120
41: 7/2560
42: 21/20480
43: 3/10240
44: 1/20480

Dice: [4, 6, 8, 8, 20]
5: 1/1
6: 30719/30720
7: 5119/5120
8: 10233/10240
9: 3833/3840
10: 6119/6144
11: 5079/5120
12: 757/768
13: 2999/3072
14: 14791/15360
15: 14519/15360
16: 14173/15360
17: 13751/15360
18: 2651/3072
19: 12691/15360
20: 3017/3840
21: 3799/5120
22: 21379/30720
23: 2489/3840
24: 6137/10240
25: 563/1024
26: 1/2
27: 461/1024
28: 4103/10240
29: 1351/3840
30: 9341/30720
31: 1321/5120
32: 823/3840
33: 2669/15360
34: 421/3072
35: 1609/15360
36: 1187/15360
37: 841/15360
38: 569/15360
39: 73/3072
40: 11/768
41: 41/5120
42: 25/6144
43: 7/3840
44: 7/10240
45: 1/5120
46: 1/30720

Dice: [6, 6, 8, 8, 20]
5: 1/1
6: 46079/46080
7: 7679/7680
8: 15353/15360
9: 5753/5760
10: 2553/2560
11: 1273/1280
12: 2281/2304
13: 755/768
14: 44837/46080
15: 7367/7680
16: 4819/5120
17: 5291/5760
18: 4563/5120
19: 6599/7680
20: 7585/9216
21: 3007/3840
22: 1705/2304
23: 889/1280
24: 1657/2560
25: 3449/5760
26: 6331/11520
27: 1/2
28: 5189/11520
29: 2311/5760
30: 903/2560
31: 391/1280
32: 599/2304
33: 833/3840
34: 1631/9216
35: 1081/7680
36: 557/5120
37: 469/5760
38: 301/5120
39: 313/7680
40: 1243/46080
41: 13/768
42: 23/2304
43: 7/1280
44: 7/2560
45: 7/5760
46: 7/15360
47: 1/7680
48: 1/46080

Dice: [4, 8, 8, 8, 20]
5: 1/1
6: 40959/40960
7: 20477/20480
8: 40939/40960
9: 5113/5120
10: 8167/8192
11: 20357/20480
12: 40519/40960
13: 1257/1280
14: 19901/20480
15: 9807/10240
16: 19241/20480
17: 2347/2560
18: 18217/20480
19: 8783/10240
20: 16829/20480
21: 1001/1280
22: 30279/40960
23: 14213/20480
24: 26499/40960
25: 613/1024
26: 5627/10240
27: 1/2
28: 4613/10240
29: 411/1024
30: 14461/40960
31: 6267/20480
32: 10681/40960
33: 279/1280
34: 3651/20480
35: 1457/10240
36: 2263/20480
37: 213/2560
38: 1239/20480
39: 433/10240
40: 579/20480
41: 23/1280
42: 441/40960
43: 123/20480
44: 25/8192
45: 7/5120
46: 21/40960
47: 3/20480
48: 1/40960

Dice: [6, 8, 8, 8, 20]
5: 1/1
6: 61439/61440
7: 10239/10240
8: 20473/20480
9: 7673/7680
10: 10219/10240
11: 5099/5120
12: 60979/61440
13: 10109/10240
14: 20059/20480
15: 7439/7680
16: 9771/10240
17: 4791/5120
18: 14023/15360
19: 907/1024
20: 8747/10240
21: 6287/7680
22: 15963/20480
23: 7549/10240
24: 42547/61440
25: 3307/5120
26: 36739/61440
27: 16871/30720
28: 1/2
29: 13849/30720
30: 24701/61440
31: 1813/5120
32: 18893/61440
33: 2691/10240
34: 4517/20480
35: 1393/7680
36: 1493/10240
37: 117/1024
38: 1337/15360
39: 329/5120
40: 469/10240
41: 241/7680
42: 421/20480
43: 131/10240
44: 461/61440
45: 21/5120
46: 21/10240
47: 7/7680
48: 7/20480
49: 1/10240
50: 1/61440

Dice: [8, 8, 8, 8, 20]
5: 1/1
6: 81919/81920
7: 40957/40960
8: 81899/81920
9: 10233/10240
10: 40897/40960
11: 20417/20480
12: 40729/40960
13: 10141/10240
14: 80637/81920
15: 39971/40960
16: 79001/81920
17: 4861/5120
18: 19059/20480
19: 1859/2048
20: 3607/4096
21: 4349/5120
22: 66713/81920
23: 31779/40960
24: 60157/81920
25: 7069/10240
26: 52787/81920
27: 24453/40960
28: 44951/81920
29: 1/2
30: 36969/81920
31: 16507/40960
32: 29133/81920
33: 3171/10240
34: 21763/81920
35: 9181/40960
36: 15207/81920
37: 771/5120
38: 489/4096
39: 189/2048
40: 1421/20480
41: 259/5120
42: 2919/81920
43: 989/40960
44: 1283/81920
45: 99/10240
46: 231/40960
47: 63/20480
48: 63/40960
49: 7/10240
50: 21/81920
51: 3/40960
52: 1/81920

Dice: [4, 4, 4, 12, 20]
5: 1/1
6: 15359/15360
7: 2559/2560
8: 5113/5120
9: 1913/1920
10: 5079/5120
11: 2521/2560
12: 4987/5120
13: 307/320
14: 301/320
15: 881/960
16: 57/64
17: 55/64
18: 4219/5120
19: 2009/2560
20: 3799/5120
21: 1337/1920
22: 3321/5120
23: 307/512
24: 8447/15360
25: 1/2
26: 6913/15360
27: 205/512
28: 1799/5120
29: 583/1920
30: 1321/5120
31: 551/2560
32: 901/5120
33: 9/64
34: 7/64
35: 79/960
36: 19/320
37: 13/320
38: 133/5120
39: 39/2560
40: 41/5120
41: 7/1920
42: 7/5120
43: 1/2560
44: 1/15360

Dice: [4, 4, 6, 12, 20]
5: 1/1
6: 23039/23040
7: 3839/3840
8: 7673/7680
9: 2873/2880
10: 5729/5760
11: 95/96
12: 22621/23040
13: 11183/11520
14: 4405/4608
15: 2699/2880
16: 2633/2880
17: 511/576
18: 19721/23040
19: 1891/2304
20: 18013/23040
21: 71/96
22: 4001/5760
23: 373/576
24: 4601/7680
25: 2111/3840
26: 1/2
27: 1729/3840
28: 3079/7680
29: 203/576
30: 1759/5760
31: 25/96
32: 5027/23040
33: 413/2304
34: 3319/23040
35: 65/576
36: 247/2880
37: 181/2880
38: 203/4608
39: 337/11520
40: 419/23040
41: 1/96
42: 31/5760
43: 7/2880
44: 7/7680
45: 1/3840
46: 1/23040

Dice: [4, 6, 6, 12, 20]
5: 1/1
6: 34559/34560
7: 5759/5760
8: 11513/11520
9: 4313/4320
10: 6887/6912
11: 5719/5760
12: 34121/34560
13: 8459/8640
14: 11147/11520
15: 1829/1920
16: 32269/34560
17: 2623/2880
18: 30541/34560
19: 1637/1920
20: 9419/11520
21: 6731/8640
22: 25481/34560
23: 3991/5760
24: 22339/34560
25: 517/864
26: 4747/8640
27: 1/2
28: 3893/8640
29: 347/864
30: 12221/34560
31: 1769/5760
32: 9079/34560
33: 1909/8640
34: 2101/11520
35: 283/1920
36: 4019/34560
37: 257/2880
38: 2291/34560
39: 91/1920
40: 373/11520
41: 181/8640
42: 439/34560
43: 41/5760
44: 25/6912
45: 7/4320
46: 7/11520
47: 1/5760
48: 1/34560

Dice: [6, 6, 6, 12, 20]
5: 1/1
6: 51839/51840
7: 8639/8640
8: 17273/17280
9: 6473/6480
10: 2873/2880
11: 1433/1440
12: 1903/1920
13: 2837/2880
14: 703/720
15: 25003/25920
16: 3281/3456
17: 4019/4320
18: 11759/12960
19: 3803/4320
20: 14677/17280
21: 4223/5184
22: 559/720
23: 2117/2880
24: 1327/1920
25: 929/1440
26: 30979/51840
27: 14231/25920
28: 1/2
29: 11689/25920
30: 20861/51840
31: 511/1440
32: 593/1920
33: 763/2880
34: 161/720
35: 961/5184
36: 2603/17280
37: 517/4320
38: 1201/12960
39: 301/4320
40: 175/3456
41: 917/25920
42: 17/720
43: 43/2880
44: 17/1920
45: 7/1440
46: 7/2880
47: 7/6480
48: 7/17280
49: 1/8640
50: 1/51840

Dice: [4, 4, 8, 12, 20]
5: 1/1
6: 30719/30720
7: 5119/5120
8: 10233/10240
9: 3833/3840
10: 7649/7680
11: 127/128
12: 505/512
13: 751/768
14: 1979/2048
15: 14611/15360
16: 9547/10240
17: 291/320
18: 1807/2048
19: 2615/3072
20: 8359/10240
21: 2987/3840
22: 377/512
23: 443/640
24: 4961/7680
25: 2297/3840
26: 4219/7680
27: 1/2
28: 3461/7680
29: 1543/3840
30: 2719/7680
31: 197/640
32: 135/512
33: 853/3840
34: 1881/10240
35: 457/3072
36: 241/2048
37: 29/320
38: 693/10240
39: 749/15360
40: 69/2048
41: 17/768
42: 7/512
43: 1/128
44: 31/7680
45: 7/3840
46: 7/10240
47: 1/5120
48: 1/30720

Dice: [4, 6, 8, 12, 20]
5: 1/1
6: 46079/46080
7: 7679/7680
8: 15353/15360
9: 5753/5760
10: 9191/9216
11: 7639/7680
12: 1141/1152
13: 4535/4608
14: 44941/46080
15: 5549/5760
16: 8737/9216
17: 21403/23040
18: 20873/23040
19: 20251/23040
20: 39077/46080
21: 937/1152
22: 7145/9216
23: 3383/4608
24: 3977/5760
25: 4951/7680
26: 6881/11520
27: 12647/23040
28: 1/2
29: 10393/23040
30: 4639/11520
31: 2729/7680
32: 1783/5760
33: 1225/4608
34: 2071/9216
35: 215/1152
36: 7003/46080
37: 2789/23040
38: 2167/23040
39: 1637/23040
40: 479/9216
41: 211/5760
42: 1139/46080
43: 73/4608
44: 11/1152
45: 41/7680
46: 25/9216
47: 7/5760
48: 7/15360
49: 1/7680
50: 1/46080

Dice: [6, 6, 8, 12, 20]
5: 1/1
6: 69119/69120
7: 11519/11520
8: 23033/23040
9: 8633/8640
10: 3833/3840
11: 1913/1920
12: 3433/3456
13: 1139/1152
14: 16969/17280
15: 5603/5760
16: 2213/2304
17: 2041/2160
18: 31991/34560
19: 1733/1920
20: 30263/34560
21: 365/432
22: 9337/11520
23: 4451/5760
24: 12649/17280
25: 3967/5760
26: 1647/2560
27: 6871/11520
28: 12637/23040
29: 1/2
30: 10403/23040
31: 4649/11520
32: 913/2560
33: 1793/5760
34: 4631/17280
35: 1309/5760
36: 2183/11520
37: 67/432
38: 4297/34560
39: 187/1920
40: 2569/34560
41: 119/2160
42: 91/2304
43: 157/5760
44: 311/17280
45: 13/1152
46: 23/3456
47: 7/1920
48: 7/3840
49: 7/8640
50: 7/23040
51: 1/11520
52: 1/69120

Dice: [4, 8, 8, 12, 20]
5: 1/1
6: 61439/61440
7: 10239/10240
8: 20473/20480
9: 7673/7680
10: 12263/12288
11: 10199/10240
12: 20333/20480
13: 1897/1920
14: 60281/61440
15: 29851/30720
16: 19647/20480
17: 7247/7680
18: 1893/2048
19: 13843/15360
20: 8953/10240
21: 6479/7680
22: 3315/4096
23: 23707/30720
24: 44921/61440
25: 1321/1920
26: 4937/7680
27: 763/1280
28: 4211/7680
29: 1/2
30: 3469/7680
31: 517/1280
32: 2743/7680
33: 599/1920
34: 16519/61440
35: 7013/30720
36: 781/4096
37: 1201/7680
38: 1287/10240
39: 1517/15360
40: 155/2048
41: 433/7680
42: 833/20480
43: 869/30720
44: 1159/61440
45: 23/1920
46: 147/20480
47: 41/10240
48: 25/12288
49: 7/7680
50: 7/20480
51: 1/10240
52: 1/61440

Dice: [6, 8, 8, 12, 20]
5: 1/1
6: 92159/92160
7: 15359/15360
8: 30713/30720
9: 11513/11520
10: 5113/5120
11: 2553/2560
12: 91699/92160
13: 15229/15360
14: 5681/5760
15: 45113/46080
16: 1985/2048
17: 22039/23040
18: 86687/92160
19: 14149/15360
20: 41381/46080
21: 13381/15360
22: 77471/92160
23: 18583/23040
24: 7877/10240
25: 33593/46080
26: 21083/30720
27: 4927/7680
28: 6857/11520
29: 12623/23040
30: 1/2
31: 10417/23040
32: 4663/11520
33: 2753/7680
34: 9637/30720
35: 12487/46080
36: 2363/10240
37: 4457/23040
38: 14689/92160
39: 1979/15360
40: 4699/46080
41: 1211/15360
42: 5473/92160
43: 1001/23040
44: 63/2048
45: 967/46080
46: 79/5760
47: 131/15360
48: 461/92160
49: 7/2560
50: 7/5120
51: 7/11520
52: 7/30720
53: 1/15360
54: 1/92160

Dice: [8, 8, 8, 12, 20]
5: 1/1
6: 122879/122880
7: 20479/20480
8: 40953/40960
9: 15353/15360
10: 20459/20480
11: 10219/10240
12: 20403/20480
13: 5087/5120
14: 10133/10240
15: 1889/1920
16: 1999/2048
17: 989/1024
18: 117071/122880
19: 19179/20480
20: 37553/40960
21: 6863/7680
22: 7101/8192
23: 17131/20480
24: 98639/122880
25: 3921/5120
26: 89221/122880
27: 42019/61440
28: 26203/40960
29: 2281/3840
30: 1401/2560
31: 1/2
32: 1159/2560
33: 1559/3840
34: 14757/40960
35: 19421/61440
36: 33659/122880
37: 1199/5120
38: 24241/122880
39: 3349/20480
40: 1091/8192
41: 817/7680
42: 3407/40960
43: 1301/20480
44: 5809/122880
45: 35/1024
46: 49/2048
47: 31/1920
48: 107/10240
49: 33/5120
50: 77/20480
51: 21/10240
52: 21/20480
53: 7/15360
54: 7/40960
55: 1/20480
56: 1/122880

Dice: [4, 4, 12, 12, 20]
5: 1/1
6: 46079/46080
7: 7679/7680
8: 15353/15360
9: 5753/5760
10: 11489/11520
11: 191/192
12: 761/768
13: 1135/1152
14: 11261/11520
15: 1393/1440
16: 733/768
17: 1081/1152
18: 7057/7680
19: 10319/11520
20: 6673/7680
21: 4829/5760
22: 3089/3840
23: 221/288
24: 8381/11520
25: 3947/5760
26: 29533/46080
27: 1523/2560
28: 25241/46080
29: 1/2
30: 20839/46080
31: 1037/2560
32: 16547/46080
33: 1813/5760
34: 3139/11520
35: 67/288
36: 751/3840
37: 931/5760
38: 1007/7680
39: 1201/11520
40: 623/7680
41: 71/1152
42: 35/768
43: 47/1440
44: 259/11520
45: 17/1152
46: 7/768
47: 1/192
48: 31/11520
49: 7/5760
50: 7/15360
51: 1/7680
52: 1/46080

Dice: [4, 6, 12, 12, 20]
5: 1/1
6: 69119/69120
7: 11519/11520
8: 23033/23040
9: 8633/8640
10: 13799/13824
11: 11479/11520
12: 1717/1728
13: 6839/6912
14: 1133/1152
15: 33713/34560
16: 4169/4320
17: 731/768
18: 10777/11520
19: 31651/34560
20: 10283/11520
21: 29923/34560
22: 1925/2304
23: 3079/3840
24: 661/864
25: 25073/34560
26: 9449/13824
27: 11051/17280
28: 41053/69120
29: 18913/34560
30: 1/2
31: 15647/34560
32: 28067/69120
33: 6229/17280
34: 4375/13824
35: 9487/34560
36: 203/864
37: 761/3840
38: 379/2304
39: 4637/34560
40: 1237/11520
41: 2909/34560
42: 743/11520
43: 37/768
44: 151/4320
45: 847/34560
46: 19/1152
47: 73/6912
48: 11/1728
49: 41/11520
50: 25/13824
51: 7/8640
52: 7/23040
53: 1/11520
54: 1/69120

Dice: [6, 6, 12, 12, 20]
5: 1/1
6: 103679/103680
7: 17279/17280
8: 34553/34560
9: 12953/12960
10: 5753/5760
11: 2873/2880
12: 5161/5184
13: 1715/1728
14: 6829/6912
15: 377/384
16: 33643/34560
17: 4159/4320
18: 98417/103680
19: 16117/17280
20: 31549/34560
21: 23059/25920
22: 29821/34560
23: 14389/17280
24: 16573/20736
25: 659/864
26: 7501/10368
27: 5891/8640
28: 919/1440
29: 15371/25920
30: 5669/10368
31: 1/2
32: 4699/10368
33: 10549/25920
34: 521/1440
35: 2749/8640
36: 2867/10368
37: 205/864
38: 4163/20736
39: 2891/17280
40: 4739/34560
41: 2861/25920
42: 3011/34560
43: 1163/17280
44: 5263/103680
45: 161/4320
46: 917/34560
47: 7/384
48: 83/6912
49: 13/1728
50: 23/5184
51: 7/2880
52: 7/5760
53: 7/12960
54: 7/34560
55: 1/17280
56: 1/103680

Dice: [4, 8, 12, 12, 20]
5: 1/1
6: 92159/92160
7: 15359/15360
8: 30713/30720
9: 11513/11520
10: 18407/18432
11: 15319/15360
12: 10191/10240
13: 2857/2880
14: 2275/2304
15: 5651/5760
16: 249/256
17: 277/288
18: 43693/46080
19: 21463/23040
20: 14003/15360
21: 5117/5760
22: 2647/3072
23: 19159/23040
24: 36781/46080
25: 1097/1440
26: 66601/92160
27: 31387/46080
28: 11753/18432
29: 6827/11520
30: 12593/23040
31: 1/2
32: 10447/23040
33: 4693/11520
34: 6679/18432
35: 14693/46080
36: 25559/92160
37: 343/1440
38: 9299/46080
39: 3881/23040
40: 425/3072
41: 643/5760
42: 1357/15360
43: 1577/23040
44: 2387/46080
45: 11/288
46: 7/256
47: 109/5760
48: 29/2304
49: 23/2880
50: 49/10240
51: 41/15360
52: 25/18432
53: 7/11520
54: 7/30720
55: 1/15360
56: 1/92160

Dice: [6, 8, 12, 12, 20]
5: 1/1
6: 138239/138240
7: 23039/23040
8: 46073/46080
9: 17273/17280
10: 7673/7680
11: 3833/3840
12: 137779/138240
13: 22909/23040
14: 27395/27648
15: 6815/6912
16: 5641/5760
17: 6709/6912
18: 7369/7680
19: 5447/5760
20: 64201/69120
21: 31409/34560
22: 10201/11520
23: 29681/34560
24: 57289/69120
25: 4583/5760
26: 20999/27648
27: 49813/69120
28: 3479/5120
29: 7331/11520
30: 16361/27648
31: 12583/23040
32: 1/2
33: 10457/23040
34: 11287/27648
35: 4189/11520
36: 1641/5120
37: 19307/69120
38: 6649/27648
39: 1177/5760
40: 11831/69120
41: 4879/34560
42: 1319/11520
43: 3151/34560
44: 4919/69120
45: 313/5760
46: 311/7680
47: 203/6912
48: 119/5760
49: 97/6912
50: 253/27648
51: 131/23040
52: 461/138240
53: 7/3840
54: 7/7680
55: 7/17280
56: 7/46080
57: 1/23040
58: 1/138240

Dice: [8, 8, 12, 12, 20]
5: 1/1
6: 184319/184320
7: 30719/30720
8: 61433/61440
9: 23033/23040
10: 10233/10240
11: 5113/5120
12: 30643/30720
13: 2549/2560
14: 36607/36864
15: 18233/18432
16: 20151/20480
17: 5627/5760
18: 29731/30720
19: 14689/15360
20: 28943/30720
21: 10657/11520
22: 41699/46080
23: 20311/23040
24: 7879/9216
25: 1901/2304
26: 146011/184320
27: 1549/2048
28: 14703/20480
29: 5201/7680
30: 12997/20480
31: 54427/92160
32: 100553/184320
33: 1/2
34: 83767/184320
35: 37733/92160
36: 7483/20480
37: 2479/7680
38: 5777/20480
39: 499/2048
40: 38309/184320
41: 403/2304
42: 1337/9216
43: 2729/23040
44: 4381/46080
45: 863/11520
46: 1777/30720
47: 671/15360
48: 989/30720
49: 133/5760
50: 329/20480
51: 199/18432
52: 257/36864
53: 11/2560
54: 77/30720
55: 7/5120
56: 7/10240
57: 7/23040
58: 7/61440
59: 1/30720
60: 1/184320

Dice: [4, 12, 12, 12, 20]
5: 1/1
6: 138239/138240
7: 23039/23040
8: 46073/46080
9: 17273/17280
10: 27623/27648
11: 22999/23040
12: 15311/15360
13: 4297/4320
14: 5077/5120
15: 13649/13824
16: 45233/46080
17: 5611/5760
18: 66671/69120
19: 32923/34560
20: 21613/23040
21: 5303/5760
22: 62227/69120
23: 3367/3840
24: 58771/69120
25: 4727/5760
26: 108943/138240
27: 10405/13824
28: 98803/138240
29: 1457/2160
30: 1093/1728
31: 509/864
32: 523/960
33: 1/2
34: 437/960
35: 355/864
36: 635/1728
37: 703/2160
38: 39437/138240
39: 3419/13824
40: 29297/138240
41: 1033/5760
42: 10349/69120
43: 473/3840
44: 6893/69120
45: 457/5760
46: 1427/23040
47: 1637/34560
48: 2449/69120
49: 149/5760
50: 847/46080
51: 175/13824
52: 43/5120
53: 23/4320
54: 49/15360
55: 41/23040
56: 25/27648
57: 7/17280
58: 7/46080
59: 1/23040
60: 1/138240

Dice: [6, 12, 12, 12, 20]
5: 1/1
6: 207359/207360
7: 34559/34560
8: 69113/69120
9: 25913/25920
10: 11513/11520
11: 5753/5760
12: 206899/207360
13: 34429/34560
14: 34349/34560
15: 102707/103680
16: 68161/69120
17: 16937/17280
18: 201637/207360
19: 11089/11520
20: 10949/11520
21: 97013/103680
22: 7933/8640
23: 6205/6912
24: 90641/103680
25: 29297/34560
26: 169657/207360
27: 10183/12960
28: 51877/69120
29: 73909/103680
30: 27911/41472
31: 1091/1728
32: 1525/2592
33: 14111/25920
34: 1/2
35: 11809/25920
36: 1067/2592
37: 637/1728
38: 13561/41472
39: 29771/103680
40: 17243/69120
41: 2777/12960
42: 37703/207360
43: 5263/34560
44: 13039/103680
45: 707/6912
46: 707/8640
47: 6667/103680
48: 571/11520
49: 431/11520
50: 5723/207360
51: 343/17280
52: 959/69120
53: 973/103680
54: 211/34560
55: 131/34560
56: 461/207360
57: 7/5760
58: 7/11520
59: 7/25920
60: 7/69120
61: 1/34560
62: 1/207360

Dice: [8, 12, 12, 12, 20]
5: 1/1
6: 276479/276480
7: 46079/46080
8: 92153/92160
9: 34553/34560
10: 15353/15360
11: 7673/7680
12: 46003/46080
13: 3829/3840
14: 137597/138240
15: 68621/69120
16: 45583/46080
17: 34021/34560
18: 270421/276480
19: 14899/15360
20: 88459/92160
21: 1819/1920
22: 2387/2560
23: 31613/34560
24: 12361/13824
25: 1003/1152
26: 25933/30720
27: 112631/138240
28: 14423/18432
29: 25837/34560
30: 65461/92160
31: 687/1024
32: 34823/55296
33: 2537/4320
34: 4699/8640
35: 1/2
36: 3941/8640
37: 1783/4320
38: 20473/55296
39: 337/1024
40: 26699/92160
41: 8723/34560
42: 4009/18432
43: 25609/138240
44: 4787/30720
45: 149/1152
46: 1463/13824
47: 2947/34560
48: 173/2560
49: 101/1920
50: 3701/92160
51: 461/15360
52: 6059/276480
53: 539/34560
54: 497/46080
55: 499/69120
56: 643/138240
57: 11/3840
58: 77/46080
59: 7/7680
60: 7/15360
61: 7/34560
62: 7/92160
63: 1/46080
64: 1/276480

Dice: [12, 12, 12, 12, 20]
5: 1/1
6: 414719/414720
7: 69119/69120
8: 138233/138240
9: 51833/51840
10: 23033/23040
11: 11513/11520
12: 69043/69120
13: 5749/5760
14: 45937/46080
15: 206359/207360
16: 137239/138240
17: 8549/8640
18: 51067/51840
19: 4231/4320
20: 16799/17280
21: 4993/5184
22: 975/1024
23: 7211/7680
24: 382919/414720
25: 15641/17280
26: 366739/414720
27: 178477/207360
28: 38447/46080
29: 20873/25920
30: 320837/414720
31: 17039/23040
32: 97219/138240
33: 34477/51840
34: 86437/138240
35: 24229/41472
36: 44983/82944
37: 1/2
38: 37961/82944
39: 17243/41472
40: 51803/138240
41: 17363/51840
42: 41021/138240
43: 6001/23040
44: 93883/414720
45: 5047/25920
46: 7633/46080
47: 28883/207360
48: 47981/414720
49: 1639/17280
50: 31801/414720
51: 469/7680
52: 49/1024
53: 191/5184
54: 481/17280
55: 89/4320
56: 773/51840
57: 91/8640
58: 1001/138240
59: 1001/207360
60: 143/46080
61: 11/5760
62: 77/69120
63: 7/11520
64: 7/23040
65: 7/51840
66: 7/138240
67: 1/69120
68: 1/414720

Dice: [4, 4, 4, 20, 20]
5: 1/1
6: 25599/25600
7: 12797/12800
8: 25579/25600
9: 3193/3200
10: 25477/25600
11: 12683/12800
12: 25201/25600
13: 1561/1600
14: 1543/1600
15: 1521/1600
16: 299/320
17: 293/320
18: 1431/1600
19: 1393/1600
20: 1351/1600
21: 261/320
22: 251/320
23: 1201/1600
24: 1143/1600
25: 1081/1600
26: 8121/12800
27: 3783/6400
28: 6989/12800
29: 1/2
30: 5811/12800
31: 2617/6400
32: 4679/12800
33: 519/1600
34: 457/1600
35: 399/1600
36: 69/320
37: 59/320
38: 249/1600
39: 207/1600
40: 169/1600
41: 27/320
42: 21/320
43: 79/1600
44: 57/1600
45: 39/1600
46: 399/25600
47: 117/12800
48: 123/25600
49: 7/3200
50: 21/25600
51: 3/12800
52: 1/25600

Dice: [4, 4, 6, 20, 20]
5: 1/1
6: 38399/38400
7: 6399/6400
8: 12793/12800
9: 4793/4800
10: 9569/9600
11: 159/160
12: 37981/38400
13: 18863/19200
14: 7477/7680
15: 4619/4800
16: 4553/4800
17: 179/192
18: 877/960
19: 4283/4800
20: 4169/4800
21: 4043/4800
22: 781/960
23: 751/960
24: 3593/4800
25: 3419/4800
26: 4311/6400
27: 6073/9600
28: 11321/19200
29: 2617/4800
30: 1/2
31: 2183/4800
32: 7879/19200
33: 3527/9600
34: 2089/6400
35: 1381/4800
36: 1207/4800
37: 209/960
38: 179/960
39: 757/4800
40: 631/4800
41: 517/4800
42: 83/960
43: 13/192
44: 247/4800
45: 181/4800
46: 203/7680
47: 337/19200
48: 419/38400
49: 1/160
50: 31/9600
51: 7/4800
52: 7/12800
53: 1/6400
54: 1/38400

Dice: [4, 6, 6, 20, 20]
5: 1/1
6: 57599/57600
7: 9599/9600
8: 19193/19200
9: 7193/7200
10: 2299/2304
11: 9559/9600
12: 57161/57600
13: 14219/14400
14: 18827/19200
15: 3109/3200
16: 55309/57600
17: 4543/4800
18: 893/960
19: 175/192
20: 4273/4800
21: 4159/4800
22: 4033/4800
23: 779/960
24: 749/960
25: 3583/4800
26: 4091/5760
27: 403/600
28: 2019/3200
29: 8473/14400
30: 15683/28800
31: 1/2
32: 13117/28800
33: 5927/14400
34: 1181/3200
35: 197/600
36: 1669/5760
37: 1217/4800
38: 211/960
39: 181/960
40: 767/4800
41: 641/4800
42: 527/4800
43: 17/192
44: 67/960
45: 257/4800
46: 2291/57600
47: 91/3200
48: 373/19200
49: 181/14400
50: 439/57600
51: 41/9600
52: 5/2304
53: 7/7200
54: 7/19200
55: 1/9600
56: 1/57600

Dice: [6, 6, 6, 20, 20]
5: 1/1
6: 86399/86400
7: 14399/14400
8: 28793/28800
9: 10793/10800
10: 4793/4800
11: 2393/2400
12: 3183/3200
13: 4757/4800
14: 1183/1200
15: 42283/43200
16: 1117/1152
17: 6899/7200
18: 16319/17280
19: 297/320
20: 291/320
21: 1421/1600
22: 1383/1600
23: 1341/1600
24: 259/320
25: 249/320
26: 16079/21600
27: 10199/14400
28: 4823/7200
29: 27191/43200
30: 2819/4800
31: 2611/4800
32: 1/2
33: 2189/4800
34: 1981/4800
35: 16009/43200
36: 2377/7200
37: 4201/14400
38: 5521/21600
39: 71/320
40: 61/320
41: 259/1600
42: 217/1600
43: 179/1600
44: 29/320
45: 23/320
46: 961/17280
47: 301/7200
48: 35/1152
49: 917/43200
50: 17/1200
51: 43/4800
52: 17/3200
53: 7/2400
54: 7/4800
55: 7/10800
56: 7/28800
57: 1/14400
58: 1/86400

Dice: [4, 4, 8, 20, 20]
5: 1/1
6: 51199/51200
7: 25597/25600
8: 51179/51200
9: 6393/6400
10: 12769/12800
11: 637/640
12: 2539/2560
13: 1263/1280
14: 10033/10240
15: 24851/25600
16: 49121/51200
17: 1513/1600
18: 1487/1600
19: 1457/1600
20: 1423/1600
21: 277/320
22: 1343/1600
23: 1297/1600
24: 1247/1600
25: 1193/1600
26: 18161/25600
27: 8587/12800
28: 16133/25600
29: 1881/3200
30: 3483/6400
31: 1/2
32: 2917/6400
33: 1319/3200
34: 9467/25600
35: 4213/12800
36: 7439/25600
37: 407/1600
38: 353/1600
39: 303/1600
40: 257/1600
41: 43/320
42: 177/1600
43: 143/1600
44: 113/1600
45: 87/1600
46: 2079/51200
47: 749/25600
48: 207/10240
49: 17/1280
50: 21/2560
51: 3/640
52: 31/12800
53: 7/6400
54: 21/51200
55: 3/25600
56: 1/51200

Dice: [4, 6, 8, 20, 20]
5: 1/1
6: 76799/76800
7: 12799/12800
8: 25593/25600
9: 9593/9600
10: 3067/3072
11: 12759/12800
12: 1909/1920
13: 7607/7680
14: 75661/76800
15: 9389/9600
16: 14881/15360
17: 36763/38400
18: 4831/5120
19: 4451/4800
20: 4361/4800
21: 4259/4800
22: 829/960
23: 4019/4800
24: 3881/4800
25: 3731/4800
26: 28553/38400
27: 13583/19200
28: 25693/38400
29: 503/800
30: 7511/12800
31: 10439/19200
32: 1/2
33: 8761/19200
34: 5289/12800
35: 297/800
36: 12707/38400
37: 5617/19200
38: 9847/38400
39: 1069/4800
40: 919/4800
41: 781/4800
42: 131/960
43: 541/4800
44: 439/4800
45: 349/4800
46: 289/5120
47: 1637/38400
48: 479/15360
49: 211/9600
50: 1139/76800
51: 73/7680
52: 11/1920
53: 41/12800
54: 5/3072
55: 7/9600
56: 7/25600
57: 1/12800
58: 1/76800

Dice: [6, 6, 8, 20, 20]
5: 1/1
6: 115199/115200
7: 19199/19200
8: 38393/38400
9: 14393/14400
10: 6393/6400
11: 3193/3200
12: 5737/5760
13: 1907/1920
14: 28489/28800
15: 9443/9600
16: 3749/3840
17: 3481/3600
18: 12229/12800
19: 18077/19200
20: 21317/23040
21: 4351/4800
22: 4249/4800
23: 827/960
24: 4009/4800
25: 3871/4800
26: 44653/57600
27: 2373/3200
28: 13547/19200
29: 9611/14400
30: 6023/9600
31: 703/1200
32: 3911/7200
33: 1/2
34: 3289/7200
35: 497/1200
36: 3577/9600
37: 4789/14400
38: 5653/19200
39: 827/3200
40: 12947/57600
41: 929/4800
42: 791/4800
43: 133/960
44: 551/4800
45: 449/4800
46: 1723/23040
47: 1123/19200
48: 571/12800
49: 119/3600
50: 91/3840
51: 157/9600
52: 311/28800
53: 13/1920
54: 23/5760
55: 7/3200
56: 7/6400
57: 7/14400
58: 7/38400
59: 1/19200
60: 1/115200

Dice: [4, 8, 8, 20, 20]
5: 1/1
6: 102399/102400
7: 51197/51200
8: 102379/102400
9: 12793/12800
10: 4091/4096
11: 51077/51200
12: 101959/102400
13: 3177/3200
14: 101241/102400
15: 50331/51200
16: 99901/102400
17: 12367/12800
18: 97749/102400
19: 48163/51200
20: 94657/102400
21: 1449/1600
22: 283/320
23: 1377/1600
24: 267/320
25: 1289/1600
26: 39649/51200
27: 18963/25600
28: 7217/10240
29: 4267/6400
30: 32093/51200
31: 14987/25600
32: 27801/51200
33: 1/2
34: 23399/51200
35: 10613/25600
36: 19107/51200
37: 2133/6400
38: 3023/10240
39: 6637/25600
40: 11551/51200
41: 311/1600
42: 53/320
43: 223/1600
44: 37/320
45: 151/1600
46: 7743/102400
47: 3037/51200
48: 4651/102400
49: 433/12800
50: 2499/102400
51: 869/51200
52: 1159/102400
53: 23/3200
54: 441/102400
55: 123/51200
56: 5/4096
57: 7/12800
58: 21/102400
59: 3/51200
60: 1/102400

Dice: [6, 8, 8, 20, 20]
5: 1/1
6: 153599/153600
7: 25599/25600
8: 51193/51200
9: 19193/19200
10: 25579/25600
11: 12779/12800
12: 153139/153600
13: 25469/25600
14: 9521/9600
15: 75833/76800
16: 10051/10240
17: 37399/38400
18: 74063/76800
19: 6097/6400
20: 144181/153600
21: 14167/15360
22: 27757/30720
23: 847/960
24: 4121/4800
25: 799/960
26: 20571/25600
27: 29659/38400
28: 56741/76800
29: 6749/9600
30: 25543/38400
31: 12011/19200
32: 44893/76800
33: 20833/38400
34: 1/2
35: 17567/38400
36: 31907/76800
37: 7189/19200
38: 12857/38400
39: 2851/9600
40: 20059/76800
41: 8741/38400
42: 5029/25600
43: 161/960
44: 679/4800
45: 113/960
46: 2963/30720
47: 1193/15360
48: 9419/153600
49: 303/6400
50: 2737/76800
51: 1001/38400
52: 189/10240
53: 967/76800
54: 79/9600
55: 131/25600
56: 461/153600
57: 21/12800
58: 21/25600
59: 7/19200
60: 7/51200
61: 1/25600
62: 1/153600

Dice: [8, 8, 8, 20, 20]
5: 1/1
6: 204799/204800
7: 102397/102400
8: 204779/204800
9: 25593/25600
10: 102337/102400
11: 51137/51200
12: 102169/102400
13: 25501/25600
14: 50879/51200
15: 3169/3200
16: 10093/10240
17: 1003/1024
18: 19899/20480
19: 49247/51200
20: 97279/102400
21: 23959/25600
22: 188309/204800
23: 92227/102400
24: 180097/204800
25: 1369/1600
26: 84929/102400
27: 8199/10240
28: 15761/20480
29: 9423/12800
30: 35871/51200
31: 679/1024
32: 31943/51200
33: 7467/12800
34: 13873/25600
35: 1/2
36: 11727/25600
37: 5333/12800
38: 19257/51200
39: 345/1024
40: 15329/51200
41: 3377/12800
42: 4719/20480
43: 2041/10240
44: 17471/102400
45: 231/1600
46: 24703/204800
47: 10173/102400
48: 16491/204800
49: 1641/25600
50: 5121/102400
51: 1953/51200
52: 581/20480
53: 21/1024
54: 147/10240
55: 31/3200
56: 321/51200
57: 99/25600
58: 231/102400
59: 63/51200
60: 63/102400
61: 7/25600
62: 21/204800
63: 3/102400
64: 1/204800

Dice: [4, 4, 12, 20, 20]
5: 1/1
6: 76799/76800
7: 12799/12800
8: 25593/25600
9: 9593/9600
10: 19169/19200
11: 319/320
12: 1273/1280
13: 1903/1920
14: 18941/19200
15: 2353/2400
16: 249/256
17: 1849/1920
18: 73061/76800
19: 7199/7680
20: 23579/25600
21: 4331/4800
22: 4229/4800
23: 823/960
24: 3989/4800
25: 3851/4800
26: 29609/38400
27: 14159/19200
28: 26941/38400
29: 531/800
30: 5993/9600
31: 2801/4800
32: 5203/9600
33: 1/2
34: 4397/9600
35: 1999/4800
36: 3607/9600
37: 269/800
38: 11459/38400
39: 5041/19200
40: 8791/38400
41: 949/4800
42: 811/4800
43: 137/960
44: 571/4800
45: 469/4800
46: 2021/25600
47: 481/7680
48: 3739/76800
49: 71/1920
50: 7/256
51: 47/2400
52: 259/19200
53: 17/1920
54: 7/1280
55: 1/320
56: 31/19200
57: 7/9600
58: 7/25600
59: 1/12800
60: 1/76800

Dice: [4, 6, 12, 20, 20]
5: 1/1
6: 115199/115200
7: 19199/19200
8: 38393/38400
9: 14393/14400
10: 4603/4608
11: 19159/19200
12: 2869/2880
13: 11447/11520
14: 1901/1920
15: 56753/57600
16: 7049/7200
17: 1243/1280
18: 110741/115200
19: 1709/1800
20: 11973/12800
21: 3529/3840
22: 20741/23040
23: 4219/4800
24: 821/960
25: 3979/4800
26: 46093/57600
27: 2461/3200
28: 14123/19200
29: 10079/14400
30: 38153/57600
31: 5983/9600
32: 8393/14400
33: 15599/28800
34: 1/2
35: 13201/28800
36: 6007/14400
37: 3617/9600
38: 19447/57600
39: 4321/14400
40: 5077/19200
41: 739/3200
42: 11507/57600
43: 821/4800
44: 139/960
45: 581/4800
46: 2299/23040
47: 311/3840
48: 827/12800
49: 91/1800
50: 4459/115200
51: 37/1280
52: 151/7200
53: 847/57600
54: 19/1920
55: 73/11520
56: 11/2880
57: 41/19200
58: 5/4608
59: 7/14400
60: 7/38400
61: 1/19200
62: 1/115200

Dice: [6, 6, 12, 20, 20]
5: 1/1
6: 172799/172800
7: 28799/28800
8: 57593/57600
9: 21593/21600
10: 9593/9600
11: 4793/4800
12: 8617/8640
13: 2867/2880
14: 11437/11520
15: 633/640
16: 56683/57600
17: 7039/7200
18: 10471/10800
19: 2303/2400
20: 9097/9600
21: 1613/1728
22: 52819/57600
23: 25867/28800
24: 6061/6912
25: 273/320
26: 71443/86400
27: 5747/7200
28: 22093/28800
29: 31699/43200
30: 419/600
31: 3173/4800
32: 26879/43200
33: 8383/14400
34: 15589/28800
35: 1/2
36: 13211/28800
37: 6017/14400
38: 16321/43200
39: 1627/4800
40: 181/600
41: 11501/43200
42: 6707/28800
43: 1453/7200
44: 14957/86400
45: 47/320
46: 851/6912
47: 2933/28800
48: 4781/57600
49: 115/1728
50: 503/9600
51: 97/2400
52: 329/10800
53: 161/7200
54: 917/57600
55: 7/640
56: 83/11520
57: 13/2880
58: 23/8640
59: 7/4800
60: 7/9600
61: 7/21600
62: 7/57600
63: 1/28800
64: 1/172800

Dice: [4, 8, 12, 20, 20]
5: 1/1
6: 153599/153600
7: 25599/25600
8: 51193/51200
9: 19193/19200
10: 6139/6144
11: 25559/25600
12: 51053/51200
13: 4777/4800
14: 3811/3840
15: 9491/9600
16: 1259/1280
17: 469/480
18: 5953/6144
19: 73643/76800
20: 48479/51200
21: 5969/6400
22: 5629/6144
23: 13783/15360
24: 134561/153600
25: 4091/4800
26: 21147/25600
27: 30619/38400
28: 58853/76800
29: 7037/9600
30: 53581/76800
31: 25363/38400
32: 47753/76800
33: 931/1600
34: 1039/1920
35: 1/2
36: 881/1920
37: 669/1600
38: 29047/76800
39: 13037/38400
40: 23219/76800
41: 2563/9600
42: 17947/76800
43: 7781/38400
44: 4453/25600
45: 709/4800
46: 19039/153600
47: 1577/15360
48: 515/6144
49: 431/6400
50: 2721/51200
51: 3157/76800
52: 191/6144
53: 11/480
54: 21/1280
55: 109/9600
56: 29/3840
57: 23/4800
58: 147/51200
59: 41/25600
60: 5/6144
61: 7/19200
62: 7/51200
63: 1/25600
64: 1/153600

Dice: [6, 8, 12, 20, 20]
5: 1/1
6: 230399/230400
7: 38399/38400
8: 76793/76800
9: 28793/28800
10: 12793/12800
11: 6393/6400
12: 229939/230400
13: 38269/38400
14: 45827/46080
15: 11423/11520
16: 9481/9600
17: 11317/11520
18: 224801/230400
19: 37147/38400
20: 220541/230400
21: 3629/3840
22: 35741/38400
23: 26329/28800
24: 68759/76800
25: 11187/12800
26: 65297/76800
27: 15821/19200
28: 10181/12800
29: 172/225
30: 14041/19200
31: 6683/9600
32: 75941/115200
33: 3973/6400
34: 66953/115200
35: 623/1152
36: 1/2
37: 529/1152
38: 48247/115200
39: 2427/6400
40: 39259/115200
41: 2917/9600
42: 5159/19200
43: 53/225
44: 2619/12800
45: 3379/19200
46: 11503/76800
47: 1613/12800
48: 8041/76800
49: 2471/28800
50: 2659/38400
51: 211/3840
52: 9859/230400
53: 1253/38400
54: 5599/230400
55: 203/11520
56: 119/9600
57: 97/11520
58: 253/46080
59: 131/38400
60: 461/230400
61: 7/6400
62: 7/12800
63: 7/28800
64: 7/76800
65: 1/38400
66: 1/230400

Dice: [8, 8, 12, 20, 20]
5: 1/1
6: 307199/307200
7: 51199/51200
8: 102393/102400
9: 38393/38400
10: 51179/51200
11: 25579/25600
12: 51123/51200
13: 12767/12800
14: 61183/61440
15: 30521/30720
16: 101413/102400
17: 9467/9600
18: 60253/61440
19: 49857/51200
20: 98839/102400
21: 36667/38400
22: 5791/6144
23: 71279/76800
24: 139999/153600
25: 34271/38400
26: 267607/307200
27: 130153/153600
28: 84089/102400
29: 5073/6400
30: 58511/76800
31: 27991/38400
32: 53303/76800
33: 12623/19200
34: 95141/153600
35: 44563/76800
36: 82993/153600
37: 1/2
38: 70607/153600
39: 32237/76800
40: 58459/153600
41: 6577/19200
42: 23497/76800
43: 10409/38400
44: 18289/76800
45: 1327/6400
46: 18311/102400
47: 23447/153600
48: 39593/307200
49: 4129/38400
50: 13601/153600
51: 5521/76800
52: 353/6144
53: 1733/38400
54: 3561/102400
55: 1343/51200
56: 1187/61440
57: 133/9600
58: 987/102400
59: 199/30720
60: 257/61440
61: 33/12800
62: 77/51200
63: 21/25600
64: 21/51200
65: 7/38400
66: 7/102400
67: 1/51200
68: 1/307200

Dice: [4, 12, 12, 20, 20]
5: 1/1
6: 230399/230400
7: 38399/38400
8: 76793/76800
9: 28793/28800
10: 9211/9216
11: 38359/38400
12: 25551/25600
13: 7177/7200
14: 25471/25600
15: 4573/4608
16: 75953/76800
17: 9451/9600
18: 75167/76800
19: 111923/115200
20: 73939/76800
21: 13711/14400
22: 72163/76800
23: 35521/38400
24: 209261/230400
25: 25609/28800
26: 199943/230400
27: 32411/38400
28: 188443/230400
29: 1421/1800
30: 87413/115200
31: 4647/6400
32: 5311/7680
33: 9437/14400
34: 23723/38400
35: 33359/57600
36: 6909/12800
37: 1/2
38: 5891/12800
39: 24241/57600
40: 14677/38400
41: 4963/14400
42: 2369/7680
43: 1753/6400
44: 27787/115200
45: 379/1800
46: 41957/230400
47: 5989/38400
48: 30457/230400
49: 3191/28800
50: 21139/230400
51: 2879/38400
52: 4637/76800
53: 689/14400
54: 2861/76800
55: 3277/115200
56: 1633/76800
57: 149/9600
58: 847/76800
59: 35/4608
60: 129/25600
61: 23/7200
62: 49/25600
63: 41/38400
64: 5/9216
65: 7/28800
66: 7/76800
67: 1/38400
68: 1/230400

Dice: [6, 12, 12, 20, 20]
5: 1/1
6: 345599/345600
7: 57599/57600
8: 115193/115200
9: 43193/43200
10: 19193/19200
11: 9593/9600
12: 345139/345600
13: 57469/57600
14: 57389/57600
15: 171827/172800
16: 114241/115200
17: 28457/28800
18: 3147/3200
19: 28153/28800
20: 111767/115200
21: 33221/34560
22: 54751/57600
23: 54023/57600
24: 319061/345600
25: 8701/9600
26: 38329/43200
27: 74807/86400
28: 6467/7680
29: 140999/172800
30: 272197/345600
31: 1817/2400
32: 125201/172800
33: 19877/28800
34: 18841/28800
35: 53299/86400
36: 33323/57600
37: 971/1800
38: 1/2
39: 829/1800
40: 24277/57600
41: 33101/86400
42: 9959/28800
43: 8923/28800
44: 47599/172800
45: 583/2400
46: 73403/345600
47: 31801/172800
48: 1213/7680
49: 11593/86400
50: 4871/43200
51: 899/9600
52: 26539/345600
53: 3577/57600
54: 2849/57600
55: 1339/34560
56: 3433/115200
57: 647/28800
58: 53/3200
59: 343/28800
60: 959/115200
61: 973/172800
62: 211/57600
63: 131/57600
64: 461/345600
65: 7/9600
66: 7/19200
67: 7/43200
68: 7/115200
69: 1/57600
70: 1/345600

Dice: [8, 12, 12, 20, 20]
5: 1/1
6: 460799/460800
7: 76799/76800
8: 153593/153600
9: 57593/57600
10: 25593/25600
11: 12793/12800
12: 76723/76800
13: 6389/6400
14: 229757/230400
15: 114701/115200
16: 76303/76800
17: 57061/57600
18: 7579/7680
19: 9427/9600
20: 12491/12800
21: 2231/2304
22: 4911/5120
23: 109243/115200
24: 215539/230400
25: 17677/19200
26: 26027/28800
27: 5661/6400
28: 16571/19200
29: 3223/3840
30: 41641/51200
31: 60293/76800
32: 347773/460800
33: 1387/1920
34: 79291/115200
35: 37591/57600
36: 23641/38400
37: 16637/28800
38: 10349/19200
39: 1/2
40: 8851/19200
41: 12163/28800
42: 14759/38400
43: 20009/57600
44: 35909/115200
45: 533/1920
46: 113027/460800
47: 16507/76800
48: 9559/51200
49: 617/3840
50: 2629/19200
51: 739/6400
52: 2773/28800
53: 1523/19200
54: 14861/230400
55: 5957/115200
56: 209/5120
57: 73/2304
58: 309/12800
59: 173/9600
60: 101/7680
61: 539/57600
62: 497/76800
63: 499/115200
64: 643/230400
65: 11/6400
66: 77/76800
67: 7/12800
68: 7/25600
69: 7/57600
70: 7/153600
71: 1/76800
72: 1/460800

Dice: [12, 12, 12, 20, 20]
5: 1/1
6: 691199/691200
7: 115199/115200
8: 230393/230400
9: 86393/86400
10: 38393/38400
11: 19193/19200
12: 115123/115200
13: 9589/9600
14: 76657/76800
15: 344599/345600
16: 229399/230400
17: 14309/14400
18: 137003/138240
19: 1517/1536
20: 15103/15360
21: 3129/3200
22: 74581/76800
23: 36979/38400
24: 658937/691200
25: 3391/3600
26: 641933/691200
27: 315719/345600
28: 206507/230400
29: 75767/86400
30: 98543/115200
31: 5323/6400
32: 92839/115200
33: 67219/86400
34: 172369/230400
35: 247597/345600
36: 94427/138240
37: 1867/2880
38: 211601/345600
39: 11047/19200
40: 20653/38400
41: 1/2
42: 17747/38400
43: 8153/19200
44: 133999/345600
45: 1013/2880
46: 43813/138240
47: 98003/345600
48: 58031/230400
49: 19181/86400
50: 22361/115200
51: 1077/6400
52: 16657/115200
53: 10633/86400
54: 23893/230400
55: 29881/345600
56: 49267/691200
57: 209/3600
58: 32263/691200
59: 1421/38400
60: 2219/76800
61: 71/3200
62: 257/15360
63: 19/1536
64: 1237/138240
65: 91/14400
66: 1001/230400
67: 1001/345600
68: 143/76800
69: 11/9600
70: 77/115200
71: 7/19200
72: 7/38400
73: 7/86400
74: 7/230400
75: 1/115200
76: 1/691200

Dice: [4, 4, 20, 20, 20]
5: 1/1
6: 127999/128000
7: 63997/64000
8: 127979/128000
9: 15993/16000
10: 31969/32000
11: 1597/1600
12: 6379/6400
13: 3183/3200
14: 31741/32000
15: 3953/4000
16: 1259/1280
17: 3129/3200
18: 6213/6400
19: 7699/8000
20: 30479/32000
21: 3011/3200
22: 5937/6400
23: 73/80
24: 28651/32000
25: 14017/16000
26: 109383/128000
27: 53169/64000
28: 103003/128000
29: 1553/2000
30: 11941/16000
31: 1143/1600
32: 2179/3200
33: 517/800
34: 9769/16000
35: 4593/8000
36: 1719/3200
37: 1/2
38: 1481/3200
39: 3407/8000
40: 6231/16000
41: 283/800
42: 1021/3200
43: 457/1600
44: 4059/16000
45: 447/2000
46: 24997/128000
47: 10831/64000
48: 18617/128000
49: 1983/16000
50: 3349/32000
51: 7/80
52: 463/6400
53: 189/3200
54: 1521/32000
55: 301/8000
56: 187/6400
57: 71/3200
58: 21/1280
59: 47/4000
60: 259/32000
61: 17/3200
62: 21/6400
63: 3/1600
64: 31/32000
65: 7/16000
66: 21/128000
67: 3/64000
68: 1/128000

Dice: [4, 6, 20, 20, 20]
5: 1/1
6: 191999/192000
7: 31999/32000
8: 63993/64000
9: 23993/24000
10: 1535/1536
11: 31959/32000
12: 4789/4800
13: 19127/19200
14: 3181/3200
15: 95153/96000
16: 11849/12000
17: 6289/6400
18: 9377/9600
19: 18617/19200
20: 7689/8000
21: 91307/96000
22: 9019/9600
23: 5927/6400
24: 1093/1200
25: 85783/96000
26: 55949/64000
27: 40927/48000
28: 159143/192000
29: 25693/32000
30: 148771/192000
31: 35753/48000
32: 1141/1600
33: 6527/9600
34: 1549/2400
35: 9759/16000
36: 13769/24000
37: 1031/1920
38: 1/2
39: 889/1920
40: 10231/24000
41: 6241/16000
42: 851/2400
43: 3073/9600
44: 459/1600
45: 12247/48000
46: 43229/192000
47: 6307/32000
48: 32857/192000
49: 7073/48000
50: 8051/64000
51: 10217/96000
52: 107/1200
53: 473/6400
54: 581/9600
55: 4693/96000
56: 311/8000
57: 583/19200
58: 223/9600
59: 111/6400
60: 151/12000
61: 847/96000
62: 19/3200
63: 73/19200
64: 11/4800
65: 41/32000
66: 1/1536
67: 7/24000
68: 7/64000
69: 1/32000
70: 1/192000

Dice: [6, 6, 20, 20, 20]
5: 1/1
6: 287999/288000
7: 47999/48000
8: 95993/96000
9: 35993/36000
10: 15993/16000
11: 7993/8000
12: 14377/14400
13: 4787/4800
14: 19117/19200
15: 3179/3200
16: 95083/96000
17: 11839/12000
18: 6283/6400
19: 9367/9600
20: 3719/3840
21: 7679/8000
22: 91177/96000
23: 1801/1920
24: 5917/6400
25: 1091/1200
26: 14269/16000
27: 6979/8000
28: 20419/24000
29: 19849/24000
30: 25637/32000
31: 7423/9600
32: 23789/32000
33: 1139/1600
34: 6517/9600
35: 1547/2400
36: 9749/16000
37: 13759/24000
38: 5153/9600
39: 1/2
40: 4447/9600
41: 10241/24000
42: 6251/16000
43: 853/2400
44: 3083/9600
45: 461/1600
46: 8211/32000
47: 2177/9600
48: 6363/32000
49: 4151/24000
50: 3581/24000
51: 1021/8000
52: 1731/16000
53: 109/1200
54: 483/6400
55: 119/1920
56: 4823/96000
57: 321/8000
58: 121/3840
59: 233/9600
60: 117/6400
61: 161/12000
62: 917/96000
63: 21/3200
64: 83/19200
65: 13/4800
66: 23/14400
67: 7/8000
68: 7/16000
69: 7/36000
70: 7/96000
71: 1/48000
72: 1/288000

Dice: [4, 8, 20, 20, 20]
5: 1/1
6: 255999/256000
7: 127997/128000
8: 255979/256000
9: 31993/32000
10: 2047/2048
11: 127877/128000
12: 255559/256000
13: 7977/8000
14: 6371/6400
15: 15891/16000
16: 6337/6400
17: 789/800
18: 31403/32000
19: 3121/3200
20: 30977/32000
21: 307/320
22: 243/256
23: 14999/16000
24: 5913/6400
25: 1817/2000
26: 228123/256000
27: 111569/128000
28: 217607/256000
29: 26441/32000
30: 204911/256000
31: 98889/128000
32: 190163/256000
33: 5691/8000
34: 2171/3200
35: 2577/4000
36: 1949/3200
37: 917/1600
38: 8587/16000
39: 1/2
40: 7413/16000
41: 683/1600
42: 1251/3200
43: 1423/4000
44: 1029/3200
45: 2309/8000
46: 65837/256000
47: 29111/128000
48: 51089/256000
49: 5559/32000
50: 38393/256000
51: 16431/128000
52: 27877/256000
53: 183/2000
54: 487/6400
55: 1001/16000
56: 13/256
57: 13/320
58: 1023/32000
59: 79/3200
60: 597/32000
61: 11/800
62: 63/6400
63: 109/16000
64: 29/6400
65: 23/8000
66: 441/256000
67: 123/128000
68: 1/2048
69: 7/32000
70: 21/256000
71: 3/128000
72: 1/256000

Dice: [6, 8, 20, 20, 20]
5: 1/1
6: 383999/384000
7: 63999/64000
8: 127993/128000
9: 47993/48000
10: 63979/64000
11: 31979/32000
12: 383539/384000
13: 63869/64000
14: 76547/76800
15: 19103/19200
16: 15881/16000
17: 18997/19200
18: 473/480
19: 31373/32000
20: 9353/9600
21: 92821/96000
22: 1533/1600
23: 18199/19200
24: 44927/48000
25: 5903/6400
26: 348227/384000
27: 170759/192000
28: 111341/128000
29: 81431/96000
30: 158309/192000
31: 639/800
32: 296063/384000
33: 142349/192000
34: 90897/128000
35: 6503/9600
36: 7721/12000
37: 1947/3200
38: 2749/4800
39: 25751/48000
40: 1/2
41: 22249/48000
42: 2051/4800
43: 1253/3200
44: 4279/12000
45: 3097/9600
46: 37103/128000
47: 49651/192000
48: 87937/384000
49: 161/800
50: 33691/192000
51: 14569/96000
52: 16659/128000
53: 21241/192000
54: 35773/384000
55: 497/6400
56: 3073/48000
57: 1001/19200
58: 67/1600
59: 3179/96000
60: 247/9600
61: 627/32000
62: 7/480
63: 203/19200
64: 119/16000
65: 97/19200
66: 253/76800
67: 131/64000
68: 461/384000
69: 21/32000
70: 21/64000
71: 7/48000
72: 7/128000
73: 1/64000
74: 1/384000

Dice: [8, 8, 20, 20, 20]
5: 1/1
6: 511999/512000
7: 255997/256000
8: 511979/512000
9: 63993/64000
10: 255937/256000
11: 127937/128000
12: 255769/256000
13: 63901/64000
14: 102143/102400
15: 51001/51200
16: 509039/512000
17: 15867/16000
18: 31629/32000
19: 3937/4000
20: 31331/32000
21: 3113/3200
22: 30889/32000
23: 7651/8000
24: 30271/32000
25: 14943/16000
26: 471123/512000
27: 231561/256000
28: 454127/512000
29: 55513/64000
30: 216517/256000
31: 105229/128000
32: 40777/51200
33: 9841/12800
34: 378591/512000
35: 181353/256000
36: 346083/512000
37: 2569/4000
38: 9721/16000
39: 4577/8000
40: 8579/16000
41: 1/2
42: 7421/16000
43: 3423/8000
44: 6279/16000
45: 1431/4000
46: 165917/512000
47: 74647/256000
48: 133409/512000
49: 2959/12800
50: 10423/51200
51: 22771/128000
52: 39483/256000
53: 8487/64000
54: 57873/512000
55: 24439/256000
56: 40877/512000
57: 1057/16000
58: 1729/32000
59: 349/8000
60: 1111/32000
61: 87/3200
62: 669/32000
63: 63/4000
64: 371/32000
65: 133/16000
66: 2961/512000
67: 199/51200
68: 257/102400
69: 99/64000
70: 231/256000
71: 63/128000
72: 63/256000
73: 7/64000
74: 21/512000
75: 3/256000
76: 1/512000

Dice: [4, 12, 20, 20, 20]
5: 1/1
6: 383999/384000
7: 63999/64000
8: 127993/128000
9: 47993/48000
10: 3071/3072
11: 63959/64000
12: 127853/128000
13: 11977/12000
14: 127613/128000
15: 1529/1536
16: 127153/128000
17: 15851/16000
18: 3791/3840
19: 2359/2400
20: 31283/32000
21: 9323/9600
22: 92491/96000
23: 1527/1600
24: 18121/19200
25: 44717/48000
26: 117461/128000
27: 173161/192000
28: 339523/384000
29: 1729/2000
30: 323651/384000
31: 157289/192000
32: 101589/128000
33: 36781/48000
34: 283063/384000
35: 45211/64000
36: 258923/384000
37: 7691/12000
38: 1941/3200
39: 2743/4800
40: 25721/48000
41: 1/2
42: 22279/48000
43: 2057/4800
44: 1259/3200
45: 4309/12000
46: 125077/384000
47: 18789/64000
48: 100937/384000
49: 11219/48000
50: 26411/128000
51: 34711/192000
52: 60349/384000
53: 271/2000
54: 44477/384000
55: 18839/192000
56: 10539/128000
57: 3283/48000
58: 1079/19200
59: 73/1600
60: 3509/96000
61: 277/9600
62: 717/32000
63: 41/2400
64: 49/3840
65: 149/16000
66: 847/128000
67: 7/1536
68: 387/128000
69: 23/12000
70: 147/128000
71: 41/64000
72: 1/3072
73: 7/48000
74: 7/128000
75: 1/64000
76: 1/384000

Dice: [6, 12, 20, 20, 20]
5: 1/1
6: 575999/576000
7: 95999/96000
8: 191993/192000
9: 71993/72000
10: 31993/32000
11: 15993/16000
12: 575539/576000
13: 95869/96000
14: 95789/96000
15: 287027/288000
16: 191041/192000
17: 47657/48000
18: 22811/23040
19: 18941/19200
20: 2357/2400
21: 31253/32000
22: 9313/9600
23: 92381/96000
24: 61/64
25: 3619/3840
26: 178589/192000
27: 7329/8000
28: 172853/192000
29: 28241/32000
30: 27611/32000
31: 16151/19200
32: 52327/64000
33: 6337/8000
34: 73423/96000
35: 11773/16000
36: 9027/12800
37: 64633/96000
38: 122897/192000
39: 1939/3200
40: 2741/4800
41: 25711/48000
42: 1/2
43: 22289/48000
44: 2059/4800
45: 1261/3200
46: 69103/192000
47: 31367/96000
48: 3773/12800
49: 4227/16000
50: 22577/96000
51: 1663/8000
52: 11673/64000
53: 3049/19200
54: 4389/32000
55: 3759/32000
56: 19147/192000
57: 671/8000
58: 13411/192000
59: 221/3840
60: 3/64
61: 3619/96000
62: 287/9600
63: 747/32000
64: 43/2400
65: 259/19200
66: 229/23040
67: 343/48000
68: 959/192000
69: 973/288000
70: 211/96000
71: 131/96000
72: 461/576000
73: 7/16000
74: 7/32000
75: 7/72000
76: 7/192000
77: 1/96000
78: 1/576000

Dice: [8, 12, 20, 20, 20]
5: 1/1
6: 767999/768000
7: 127999/128000
8: 255993/256000
9: 95993/96000
10: 127979/128000
11: 63979/64000
12: 127923/128000
13: 31967/32000
14: 383357/384000
15: 191501/192000
16: 127503/128000
17: 95461/96000
18: 761939/768000
19: 25323/25600
20: 50457/51200
21: 11771/12000
22: 31211/32000
23: 9299/9600
24: 92227/96000
25: 7611/8000
26: 722347/768000
27: 356401/384000
28: 233981/256000
29: 86213/96000
30: 338017/384000
31: 2203/2560
32: 64429/76800
33: 78277/96000
34: 101119/128000
35: 146461/192000
36: 56369/76800
37: 4503/6400
38: 515983/768000
39: 245353/384000
40: 154897/256000
41: 13691/24000
42: 25697/48000
43: 1/2
44: 22303/48000
45: 10309/24000
46: 101103/256000
47: 138647/384000
48: 252017/768000
49: 1897/6400
50: 20431/76800
51: 45539/192000
52: 26881/128000
53: 17723/96000
54: 12371/76800
55: 357/2560
56: 45983/384000
57: 9787/96000
58: 22019/256000
59: 27599/384000
60: 45653/768000
61: 389/8000
62: 3773/96000
63: 301/9600
64: 789/32000
65: 229/12000
66: 743/51200
67: 277/25600
68: 6061/768000
69: 539/96000
70: 497/128000
71: 499/192000
72: 643/384000
73: 33/32000
74: 77/128000
75: 21/64000
76: 21/128000
77: 7/96000
78: 7/256000
79: 1/128000
80: 1/768000

Dice: [12, 12, 20, 20, 20]
5: 1/1
6: 1151999/1152000
7: 191999/192000
8: 383993/384000
9: 143993/144000
10: 63993/64000
11: 31993/32000
12: 191923/192000
13: 15989/16000
14: 127857/128000
15: 574999/576000
16: 382999/384000
17: 23909/24000
18: 190969/192000
19: 95287/96000
20: 190069/192000
21: 35519/36000
22: 125767/128000
23: 12513/12800
24: 44771/46080
25: 9259/9600
26: 122383/128000
27: 60569/64000
28: 359113/384000
29: 11069/12000
30: 58111/64000
31: 17123/19200
32: 33557/38400
33: 6833/8000
34: 319699/384000
35: 51787/64000
36: 100357/128000
37: 36347/48000
38: 139939/192000
39: 22369/32000
40: 128243/192000
41: 6103/9600
42: 15427/25600
43: 109211/192000
44: 68419/128000
45: 1/2
46: 59581/128000
47: 82789/192000
48: 10173/25600
49: 3497/9600
50: 63757/192000
51: 9631/32000
52: 52061/192000
53: 11653/48000
54: 27643/128000
55: 12213/64000
56: 64301/384000
57: 1167/8000
58: 4843/38400
59: 2077/19200
60: 5889/64000
61: 931/12000
62: 24887/384000
63: 3431/64000
64: 5617/128000
65: 341/9600
66: 1309/46080
67: 287/12800
68: 2233/128000
69: 481/36000
70: 1931/192000
71: 713/96000
72: 1031/192000
73: 91/24000
74: 1001/384000
75: 1001/576000
76: 143/128000
77: 11/16000
78: 77/192000
79: 7/32000
80: 7/64000
81: 7/144000
82: 7/384000
83: 1/192000
84: 1/1152000

Dice: [4, 20, 20, 20, 20]
5: 1/1
6: 639999/640000
7: 319997/320000
8: 639979/640000
9: 79993/80000
10: 5119/5120
11: 319877/320000
12: 639559/640000
13: 19977/20000
14: 638839/640000
15: 2553/2560
16: 637459/640000
17: 79553/80000
18: 635099/640000
19: 316717/320000
20: 5051/5120
21: 4913/5000
22: 625839/640000
23: 311117/320000
24: 617979/640000
25: 613/640
26: 607223/640000
27: 300289/320000
28: 593003/640000
29: 2283/2500
30: 4599/5120
31: 282129/320000
32: 552583/640000
33: 67481/80000
34: 526063/640000
35: 409/512
36: 495443/640000
37: 14959/20000
38: 461043/640000
39: 221289/320000
40: 3387/5120
41: 50441/80000
42: 383143/640000
43: 181169/320000
44: 341243/640000
45: 1/2
46: 298757/640000
47: 138831/320000
48: 256857/640000
49: 29559/80000
50: 1733/5120
51: 98711/320000
52: 178957/640000
53: 5041/20000
54: 144557/640000
55: 103/512
56: 113937/640000
57: 12519/80000
58: 87417/640000
59: 37871/320000
60: 521/5120
61: 217/2500
62: 46997/640000
63: 19711/320000
64: 32777/640000
65: 27/640
66: 22021/640000
67: 8883/320000
68: 14161/640000
69: 87/5000
70: 69/5120
71: 3283/320000
72: 4901/640000
73: 447/80000
74: 2541/640000
75: 7/2560
76: 1161/640000
77: 23/20000
78: 441/640000
79: 123/320000
80: 1/5120
81: 7/80000
82: 21/640000
83: 3/320000
84: 1/640000

Dice: [6, 20, 20, 20, 20]
5: 1/1
6: 959999/960000
7: 159999/160000
8: 319993/320000
9: 119993/120000
10: 159979/160000
11: 79979/80000
12: 959539/960000
13: 159869/160000
14: 159789/160000
15: 479027/480000
16: 319041/320000
17: 79657/80000
18: 477137/480000
19: 9919/10000
20: 316553/320000
21: 473249/480000
22: 157109/160000
23: 156339/160000
24: 932539/960000
25: 19293/20000
26: 459251/480000
27: 227437/240000
28: 299901/320000
29: 444139/480000
30: 437699/480000
31: 143501/160000
32: 845063/960000
33: 206887/240000
34: 134743/160000
35: 24619/30000
36: 765631/960000
37: 123663/160000
38: 358459/480000
39: 345269/480000
40: 220981/320000
41: 39641/60000
42: 302309/480000
43: 47849/80000
44: 543143/960000
45: 255839/480000
46: 1/2
47: 224161/480000
48: 416857/960000
49: 32151/80000
50: 177691/480000
51: 20359/60000
52: 99019/320000
53: 134731/480000
54: 121541/480000
55: 36337/160000
56: 194369/960000
57: 5381/30000
58: 25257/160000
59: 33113/240000
60: 114937/960000
61: 16499/160000
62: 42301/480000
63: 35861/480000
64: 20099/320000
65: 12563/240000
66: 20749/480000
67: 707/20000
68: 27461/960000
69: 3661/160000
70: 2891/160000
71: 6751/480000
72: 3447/320000
73: 81/10000
74: 2863/480000
75: 343/80000
76: 959/320000
77: 973/480000
78: 211/160000
79: 131/160000
80: 461/960000
81: 21/80000
82: 21/160000
83: 7/120000
84: 7/320000
85: 1/160000
86: 1/960000

Dice: [8, 20, 20, 20, 20]
5: 1/1
6: 1279999/1280000
7: 639997/640000
8: 1279979/1280000
9: 159993/160000
10: 639937/640000
11: 319937/320000
12: 639769/640000
13: 159901/160000
14: 639357/640000
15: 319501/320000
16: 638509/640000
17: 159461/160000
18: 636969/640000
19: 317921/320000
20: 634417/640000
21: 158161/160000
22: 630469/640000
23: 313917/320000
24: 624677/640000
25: 155233/160000
26: 616531/640000
27: 305703/320000
28: 605491/640000
29: 149681/160000
30: 591049/640000
31: 291209/320000
32: 572793/640000
33: 140537/160000
34: 550469/640000
35: 268877/320000
36: 524013/640000
37: 127317/160000
38: 493553/640000
39: 238457/320000
40: 459409/640000
41: 110277/160000
42: 422093/640000
43: 201229/320000
44: 382309/640000
45: 90441/160000
46: 6819/12800
47: 1/2
48: 5981/12800
49: 69559/160000
50: 257691/640000
51: 118771/320000
52: 217907/640000
53: 49723/160000
54: 180591/640000
55: 81543/320000
56: 146447/640000
57: 32683/160000
58: 115987/640000
59: 51123/320000
60: 89531/640000
61: 19463/160000
62: 67207/640000
63: 28791/320000
64: 48951/640000
65: 10319/160000
66: 34509/640000
67: 14297/320000
68: 23469/640000
69: 4767/160000
70: 15323/640000
71: 6083/320000
72: 9531/640000
73: 1839/160000
74: 5583/640000
75: 2079/320000
76: 3031/640000
77: 539/160000
78: 1491/640000
79: 499/320000
80: 643/640000
81: 99/160000
82: 231/640000
83: 63/320000
84: 63/640000
85: 7/160000
86: 21/1280000
87: 3/640000
88: 1/1280000

Dice: [12, 20, 20, 20, 20]
5: 1/1
6: 1919999/1920000
7: 319999/320000
8: 639993/640000
9: 239993/240000
10: 319979/320000
11: 159979/160000
12: 319923/320000
13: 79967/80000
14: 639571/640000
15: 958999/960000
16: 638999/640000
17: 39909/40000
18: 1913813/1920000
19: 318573/320000
20: 636131/640000
21: 238069/240000
22: 633259/640000
23: 315653/320000
24: 1886813/1920000
25: 39131/40000
26: 1868161/1920000
27: 928123/960000
28: 614119/640000
29: 228289/240000
30: 1807937/1920000
31: 59569/64000
32: 117571/128000
33: 108581/120000
34: 569387/640000
35: 838043/960000
36: 1641029/1920000
37: 66791/80000
38: 1561981/1920000
39: 759043/960000
40: 490467/640000
41: 88879/120000
42: 1370249/1920000
43: 219361/320000
44: 1260061/1920000
45: 150277/240000
46: 380981/640000
47: 541289/960000
48: 40859/76800
49: 1/2
50: 35941/76800
51: 418711/960000
52: 259019/640000
53: 89723/240000
54: 659939/1920000
55: 100639/320000
56: 549751/1920000
57: 31121/120000
58: 149533/640000
59: 200957/960000
60: 358019/1920000
61: 13209/80000
62: 278971/1920000
63: 121957/960000
64: 70613/640000
65: 11419/120000
66: 10429/128000
67: 4431/64000
68: 112063/1920000
69: 11711/240000
70: 25881/640000
71: 31877/960000
72: 51839/1920000
73: 869/40000
74: 33187/1920000
75: 4347/320000
76: 6741/640000
77: 1931/240000
78: 3869/640000
79: 1427/320000
80: 6187/1920000
81: 91/40000
82: 1001/640000
83: 1001/960000
84: 429/640000
85: 33/80000
86: 77/320000
87: 21/160000
88: 21/320000
89: 7/240000
90: 7/640000
91: 1/320000
92: 1/1920000

Dice: [20, 20, 20, 20, 20]
5: 1/1
6: 3199999/3200000
7: 1599997/1600000
8: 3199979/3200000
9: 399993/400000
10: 1599937/1600000
11: 799937/800000
12: 1599769/1600000
13: 399901/400000
14: 3198713/3200000
15: 1598999/1600000
16: 3196997/3200000
17: 199727/200000
18: 798453/800000
19: 398929/400000
20: 797093/800000
21: 199031/200000
22: 3179651/3200000
23: 1586833/1600000
24: 3166351/3200000
25: 394687/400000
26: 1007/1024
27: 12537/12800
28: 4991/5120
29: 1551/1600
30: 4931/5120
31: 1529377/1600000
32: 3032399/3200000
33: 375323/400000
34: 2969099/3200000
35: 1465877/1600000
36: 2890383/3200000
37: 177803/200000
38: 2795043/3200000
39: 1370449/1600000
40: 2682383/3200000
41: 327439/400000
42: 2552347/3200000
43: 1240501/1600000
44: 2405647/3200000
45: 145407/200000
46: 2243881/3200000
47: 1079043/1600000
48: 2069501/3200000
49: 247317/400000
50: 1885631/3200000
51: 1433/2560
52: 13567/25600
53: 1/2
54: 12033/25600
55: 1127/2560
56: 1314369/3200000
57: 152683/400000
58: 1130499/3200000
59: 520957/1600000
60: 956119/3200000
61: 54593/200000
62: 794353/3200000
63: 359499/1600000
64: 647653/3200000
65: 72561/400000
66: 517617/3200000
67: 229551/1600000
68: 404957/3200000
69: 22197/200000
70: 309617/3200000
71: 134123/1600000
72: 230901/3200000
73: 24677/400000
74: 167601/3200000
75: 70623/1600000
76: 189/5120
77: 49/1600
78: 129/5120
79: 263/12800
80: 17/1024
81: 5313/400000
82: 33649/3200000
83: 13167/1600000
84: 20349/3200000
85: 969/200000
86: 2907/800000
87: 1071/400000
88: 1547/800000
89: 273/200000
90: 3003/3200000
91: 1001/1600000
92: 1287/3200000
93: 99/400000
94: 231/1600000
95: 63/800000
96: 63/1600000
97: 7/400000
98: 21/3200000
99: 3/1600000
100: 1/3200000

Dice: [4, 4, 4, 4, 4, 4]
6: 1/1
7: 4095/4096
8: 4089/4096
9: 1017/1024
10: 1003/1024
11: 973/1024
12: 919/1024
13: 835/1024
14: 721/1024
15: 1169/2048
16: 879/2048
17: 303/1024
18: 189/1024
19: 105/1024
20: 51/1024
21: 21/1024
22: 7/1024
23: 7/4096
24: 1/4096

Dice: [4, 4, 4, 4, 4, 6]
6: 1/1
7: 6143/6144
8: 6137/6144
9: 1529/1536
10: 505/512
11: 5939/6144
12: 5717/6144
13: 1787/2048
14: 4855/6144
15: 1403/2048
16: 3463/6144
17: 2681/6144
18: 645/2048
19: 1289/6144
20: 261/2048
21: 427/6144
22: 205/6144
23: 7/512
24: 7/1536
25: 7/6144
26: 1/6144

Dice: [4, 4, 4, 4, 6, 6]
6: 1/1
7: 9215/9216
8: 9209/9216
9: 2297/2304
10: 761/768
11: 4505/4608
12: 4391/4608
13: 467/512
14: 3925/4608
15: 7103/9216
16: 6185/9216
17: 143/256
18: 113/256
19: 3031/9216
20: 2113/9216
21: 683/4608
22: 45/512
23: 217/4608
24: 103/4608
25: 7/768
26: 7/2304
27: 7/9216
28: 1/9216

Dice: [4, 4, 4, 6, 6, 6]
6: 1/1
7: 13823/13824
8: 13817/13824
9: 3449/3456
10: 1145/1152
11: 1513/1536
12: 1487/1536
13: 481/512
14: 4127/4608
15: 961/1152
16: 2609/3456
17: 9125/13824
18: 7667/13824
19: 6157/13824
20: 4699/13824
21: 847/3456
22: 191/1152
23: 481/4608
24: 31/512
25: 49/1536
26: 23/1536
27: 7/1152
28: 7/3456
29: 7/13824
30: 1/13824

Dice: [4, 4, 6, 6, 6, 6]
6: 1/1
7: 20735/20736
8: 20729/20736
9: 5177/5184
10: 1721/1728
11: 1283/1296
12: 317/324
13: 23/24
14: 1201/1296
15: 761/864
16: 2123/2592
17: 3845/5184
18: 125/192
19: 5717/10368
20: 4651/10368
21: 67/192
22: 1339/5184
23: 469/2592
24: 103/864
25: 95/1296
26: 1/24
27: 7/324
28: 13/1296
29: 7/1728
30: 7/5184
31: 7/20736
32: 1/20736

Dice: [4, 6, 6, 6, 6, 6]
6: 1/1
7: 31103/31104
8: 31097/31104
9: 7769/7776
10: 2585/2592
11: 30895/31104
12: 30649/31104
13: 373/384
14: 29507/31104
15: 28451/31104
16: 26981/31104
17: 2785/3456
18: 7573/10368
19: 6671/10368
20: 5689/10368
21: 4679/10368
22: 3697/10368
23: 2795/10368
24: 671/3456
25: 4123/31104
26: 2653/31104
27: 1597/31104
28: 11/384
29: 455/31104
30: 209/31104
31: 7/2592
32: 7/7776
33: 7/31104
34: 1/31104

Dice: [6, 6, 6, 6, 6, 6]
6: 1/1
7: 46655/46656
8: 46649/46656
9: 11657/11664
10: 3881/3888
11: 7741/7776
12: 7699/7776
13: 847/864
14: 833/864
15: 541/576
16: 42155/46656
17: 9977/11664
18: 9263/11664
19: 11207/15552
20: 9905/15552
21: 4249/7776
22: 3527/7776
23: 5647/15552
24: 4345/15552
25: 2401/11664
26: 1687/11664
27: 4501/46656
28: 35/576
29: 31/864
30: 17/864
31: 77/7776
32: 35/7776
33: 7/3888
34: 7/11664
35: 7/46656
36: 1/46656

Dice: [4, 4, 4, 4, 4, 8]
6: 1/1
7: 8191/8192
8: 8185/8192
9: 2041/2048
10: 2027/2048
11: 7987/8192
12: 7765/8192
13: 463/512
14: 431/512
15: 3115/4096
16: 2717/4096
17: 569/1024
18: 455/1024
19: 1379/4096
20: 981/4096
21: 81/512
22: 49/512
23: 427/8192
24: 205/8192
25: 21/2048
26: 7/2048
27: 7/8192
28: 1/8192

Dice: [4, 4, 4, 4, 6, 8]
6: 1/1
7: 12287/12288
8: 12281/12288
9: 3065/3072
10: 1017/1024
11: 6041/6144
12: 5927/6144
13: 11477/12288
14: 10915/12288
15: 2537/3072
16: 765/1024
17: 4021/6144
18: 3395/6144
19: 2749/6144
20: 2123/6144
21: 259/1024
22: 535/3072
23: 1373/12288
24: 811/12288
25: 217/6144
26: 103/6144
27: 7/1024
28: 7/3072
29: 7/12288
30: 1/12288

Dice: [4, 4, 4, 6, 6, 8]
6: 1/1
7: 18431/18432
8: 18425/18432
9: 4601/4608
10: 1529/1536
11: 2025/2048
12: 1999/2048
13: 8797/9216
14: 8491/9216
15: 5371/6144
16: 1663/2048
17: 753/1024
18: 5959/9216
19: 563/1024
20: 461/1024
21: 3257/9216
22: 271/1024
23: 385/2048
24: 773/6144
25: 725/9216
26: 419/9216
27: 49/2048
28: 23/2048
29: 7/1536
30: 7/4608
31: 7/18432
32: 1/18432

Dice: [4, 4, 6, 6, 6, 8]
6: 1/1
7: 27647/27648
8: 27641/27648
9: 6905/6912
10: 2297/2304
11: 1715/1728
12: 425/432
13: 26783/27648
14: 8707/9216
15: 8383/9216
16: 23819/27648
17: 691/864
18: 1253/1728
19: 17689/27648
20: 5045/9216
21: 4171/9216
22: 9959/27648
23: 475/1728
24: 173/864
25: 3829/27648
26: 833/9216
27: 509/9216
28: 865/27648
29: 7/432
30: 13/1728
31: 7/2304
32: 7/6912
33: 7/27648
34: 1/27648

Dice: [4, 6, 6, 6, 6, 8]
6: 1/1
7: 41471/41472
8: 41465/41472
9: 10361/10368
10: 3449/3456
11: 41263/41472
12: 41017/41472
13: 10145/10368
14: 9967/10368
15: 4849/5184
16: 1553/1728
17: 8813/10368
18: 8179/10368
19: 14849/20736
20: 4381/6912
21: 2827/5184
22: 2357/5184
23: 2531/6912
24: 5887/20736
25: 2189/10368
26: 1555/10368
27: 175/1728
28: 335/5184
29: 401/10368
30: 223/10368
31: 455/41472
32: 209/41472
33: 7/3456
34: 7/10368
35: 7/41472
36: 1/41472

Dice: [6, 6, 6, 6, 6, 8]
6: 1/1
7: 62207/62208
8: 62201/62208
9: 15545/15552
10: 5177/5184
11: 10333/10368
12: 10291/10368
13: 61289/62208
14: 60527/62208
15: 1099/1152
16: 9605/10368
17: 3071/3456
18: 26113/31104
19: 3029/3888
20: 2753/3888
21: 6517/10368
22: 5635/10368
23: 4733/10368
24: 3851/10368
25: 1135/3888
26: 859/3888
27: 4991/31104
28: 385/3456
29: 763/10368
30: 53/1152
31: 1681/62208
32: 919/62208
33: 77/10368
34: 35/10368
35: 7/5184
36: 7/15552
37: 7/62208
38: 1/62208

Dice: [4, 4, 4, 4, 8, 8]
6: 1/1
7: 16383/16384
8: 16377/16384
9: 4089/4096
10: 4075/4096
11: 8089/8192
12: 7975/8192
13: 3893/4096
14: 3751/4096
15: 14217/16384
16: 13199/16384
17: 1495/2048
18: 1317/2048
19: 2247/4096
20: 1849/4096
21: 731/2048
22: 553/2048
23: 3185/16384
24: 2167/16384
25: 345/4096
26: 203/4096
27: 217/8192
28: 103/8192
29: 21/4096
30: 7/4096
31: 7/16384
32: 1/16384

Dice: [4, 4, 4, 6, 8, 8]
6: 1/1
7: 24575/24576
8: 24569/24576
9: 6137/6144
10: 2041/2048
11: 8123/8192
12: 8045/8192
13: 23737/24576
14: 23119/24576
15: 3705/4096
16: 10517/12288
17: 19519/24576
18: 17705/24576
19: 7823/12288
20: 6713/12288
21: 5575/12288
22: 4465/12288
23: 6871/24576
24: 5057/24576
25: 1771/12288
26: 391/4096
27: 1457/24576
28: 839/24576
29: 147/8192
30: 69/8192
31: 7/2048
32: 7/6144
33: 7/24576
34: 1/24576

Dice: [4, 4, 6, 6, 8, 8]
6: 1/1
7: 36863/36864
8: 36857/36864
9: 9209/9216
10: 3065/3072
11: 2291/2304
12: 569/576
13: 17999/18432
14: 17665/18432
15: 5723/6144
16: 1831/2048
17: 7787/9216
18: 7225/9216
19: 8749/12288
20: 2585/4096
21: 5017/9216
22: 4199/9216
23: 1511/4096
24: 3539/12288
25: 1991/9216
26: 1429/9216
27: 217/2048
28: 421/6144
29: 767/18432
30: 433/18432
31: 7/576
32: 13/2304
33: 7/3072
34: 7/9216
35: 7/36864
36: 1/36864

Dice: [4, 6, 6, 6, 8, 8]
6: 1/1
7: 55295/55296
8: 55289/55296
9: 13817/13824
10: 4601/4608
11: 55087/55296
12: 54841/55296
13: 54403/55296
14: 5965/6144
15: 52589/55296
16: 51019/55296
17: 48895/55296
18: 46169/55296
19: 21419/27648
20: 19477/27648
21: 34625/55296
22: 30007/55296
23: 25289/55296
24: 20671/55296
25: 8171/27648
26: 6229/27648
27: 9127/55296
28: 6401/55296
29: 4277/55296
30: 2707/55296
31: 179/6144
32: 893/55296
33: 455/55296
34: 209/55296
35: 7/4608
36: 7/13824
37: 7/55296
38: 1/55296

Dice: [6, 6, 6, 6, 8, 8]
6: 1/1
7: 82943/82944
8: 82937/82944
9: 20729/20736
10: 6905/6912
11: 13789/13824
12: 13747/13824
13: 10253/10368
14: 10157/10368
15: 2965/3072
16: 78289/82944
17: 9479/10368
18: 9073/10368
19: 3805/4608
20: 1177/1536
21: 14467/20736
22: 12893/20736
23: 11221/20736
24: 9515/20736
25: 7843/20736
26: 6269/20736
27: 359/1536
28: 803/4608
29: 1295/10368
30: 889/10368
31: 4655/82944
32: 107/3072
33: 211/10368
34: 115/10368
35: 77/13824
36: 35/13824
37: 7/6912
38: 7/20736
39: 7/82944
40: 1/82944

Dice: [4, 4, 4, 8, 8, 8]
6: 1/1
7: 32767/32768
8: 32761/32768
9: 8185/8192
10: 8171/8192
11: 32561/32768
12: 32327/32768
13: 3991/4096
14: 3913/4096
15: 30395/32768
16: 29149/32768
17: 6883/8192
18: 6385/8192
19: 23205/32768
20: 20595/32768
21: 1113/2048
22: 935/2048
23: 12173/32768
24: 9563/32768
25: 1807/8192
26: 1309/8192
27: 3619/32768
28: 2373/32768
29: 183/4096
30: 105/4096
31: 441/32768
32: 207/32768
33: 21/8192
34: 7/8192
35: 7/32768
36: 1/32768

Dice: [4, 4, 6, 8, 8, 8]
6: 1/1
7: 49151/49152
8: 49145/49152
9: 12281/12288
10: 4089/4096
11: 3059/3072
12: 761/768
13: 16095/16384
14: 47611/49152
15: 15533/16384
16: 45169/49152
17: 5407/6144
18: 1701/2048
19: 9469/12288
20: 8615/12288
21: 10223/16384
22: 26635/49152
23: 22517/49152
24: 6161/16384
25: 3673/12288
26: 2819/12288
27: 347/2048
28: 737/6144
29: 3983/49152
30: 851/16384
31: 1541/49152
32: 289/16384
33: 7/768
34: 13/3072
35: 7/4096
36: 7/12288
37: 7/49152
38: 1/49152

Dice: [4, 6, 6, 8, 8, 8]
6: 1/1
7: 73727/73728
8: 73721/73728
9: 18425/18432
10: 6137/6144
11: 73519/73728
12: 73273/73728
13: 12139/12288
14: 36055/36864
15: 35497/36864
16: 34687/36864
17: 11191/12288
18: 10705/12288
19: 20195/24576
20: 6247/8192
21: 1067/1536
22: 119/192
23: 6641/12288
24: 5647/12288
25: 73/192
26: 469/1536
27: 1945/8192
28: 4381/24576
29: 1583/12288
30: 1097/12288
31: 2177/36864
32: 1367/36864
33: 809/36864
34: 149/12288
35: 455/73728
36: 209/73728
37: 7/6144
38: 7/18432
39: 7/73728
40: 1/73728

Dice: [6, 6, 6, 8, 8, 8]
6: 1/1
7: 110591/110592
8: 110585/110592
9: 27641/27648
10: 9209/9216
11: 18397/18432
12: 18355/18432
13: 36557/36864
14: 36299/36864
15: 997/1024
16: 26465/27648
17: 51649/55296
18: 49927/55296
19: 10603/12288
20: 9997/12288
21: 145/192
22: 529/768
23: 22709/36864
24: 6625/12288
25: 5663/12288
26: 14155/36864
27: 239/768
28: 47/192
29: 2291/12288
30: 1685/12288
31: 5369/55296
32: 3647/55296
33: 1183/27648
34: 27/1024
35: 565/36864
36: 307/36864
37: 77/18432
38: 35/18432
39: 7/9216
40: 7/27648
41: 7/110592
42: 1/110592

Dice: [4, 4, 8, 8, 8, 8]
6: 1/1
7: 65535/65536
8: 65529/65536
9: 16377/16384
10: 16363/16384
11: 4083/4096
12: 1017/1024
13: 16167/16384
14: 15997/16384
15: 15739/16384
16: 15369/16384
17: 14865/16384
18: 14211/16384
19: 1675/2048
20: 3109/4096
21: 11335/16384
22: 10125/16384
23: 17689/32768
24: 15079/32768
25: 6259/16384
26: 5049/16384
27: 987/4096
28: 373/2048
29: 2173/16384
30: 1519/16384
31: 1015/16384
32: 645/16384
33: 387/16384
34: 217/16384
35: 7/1024
36: 13/4096
37: 21/16384
38: 7/16384
39: 7/65536
40: 1/65536

Dice: [4, 6, 8, 8, 8, 8]
6: 1/1
7: 98303/98304
8: 98297/98304
9: 24569/24576
10: 8185/8192
11: 98095/98304
12: 97849/98304
13: 97409/98304
14: 96679/98304
15: 95543/98304
16: 31291/32768
17: 91541/98304
18: 88435/98304
19: 84475/98304
20: 26543/32768
21: 73925/98304
22: 67459/98304
23: 20131/32768
24: 52943/98304
25: 45361/98304
26: 12637/32768
27: 30845/98304
28: 24379/98304
29: 6225/32768
30: 13829/98304
31: 9869/98304
32: 6763/98304
33: 1477/32768
34: 2761/98304
35: 1625/98304
36: 895/98304
37: 455/98304
38: 209/98304
39: 7/8192
40: 7/24576
41: 7/98304
42: 1/98304

Dice: [6, 6, 8, 8, 8, 8]
6: 1/1
7: 147455/147456
8: 147449/147456
9: 36857/36864
10: 12281/12288
11: 24541/24576
12: 24499/24576
13: 73267/73728
14: 72877/73728
15: 16057/16384
16: 47549/49152
17: 11665/12288
18: 34085/36864
19: 131579/147456
20: 125597/147456
21: 19727/24576
22: 6107/8192
23: 11159/16384
24: 30035/49152
25: 1651/3072
26: 1421/3072
27: 19117/49152
28: 5225/16384
29: 2085/8192
30: 4849/24576
31: 21859/147456
32: 15877/147456
33: 2779/36864
34: 623/12288
35: 1603/49152
36: 327/16384
37: 851/73728
38: 461/73728
39: 77/24576
40: 35/24576
41: 7/12288
42: 7/36864
43: 7/147456
44: 1/147456

Dice: [4, 8, 8, 8, 8, 8]
6: 1/1
7: 131071/131072
8: 131065/131072
9: 32761/32768
10: 32747/32768
11: 130863/131072
12: 130617/131072
13: 1017/1024
14: 4045/4096
15: 32071/32768
16: 31641/32768
17: 3879/4096
18: 59/64
19: 29139/32768
20: 27805/32768
21: 3275/4096
22: 1521/2048
23: 44489/65536
24: 39951/65536
25: 8797/16384
26: 7587/16384
27: 25585/65536
28: 21047/65536
29: 527/2048
30: 821/4096
31: 4963/32768
32: 3629/32768
33: 5/64
34: 217/4096
35: 1127/32768
36: 697/32768
37: 51/4096
38: 7/1024
39: 455/131072
40: 209/131072
41: 21/32768
42: 7/32768
43: 7/131072
44: 1/131072

Dice: [6, 8, 8, 8, 8, 8]
6: 1/1
7: 196607/196608
8: 196601/196608
9: 49145/49152
10: 16377/16384
11: 32733/32768
12: 32691/32768
13: 195685/196608
14: 194899/196608
15: 32273/32768
16: 95861/98304
17: 94475/98304
18: 92557/98304
19: 30003/32768
20: 28917/32768
21: 82733/98304
22: 77947/98304
23: 36217/49152
24: 33143/49152
25: 19881/32768
26: 52685/98304
27: 45619/98304
28: 12887/32768
29: 16009/49152
30: 12935/49152
31: 20357/98304
32: 15571/98304
33: 3851/32768
34: 2765/32768
35: 5747/98304
36: 3829/98304
37: 2443/98304
38: 495/32768
39: 1709/196608
40: 923/196608
41: 77/32768
42: 35/32768
43: 7/16384
44: 7/49152
45: 7/196608
46: 1/196608

Dice: [8, 8, 8, 8, 8, 8]
6: 1/1
7: 262143/262144
8: 262137/262144
9: 65529/65536
10: 65515/65536
11: 130967/131072
12: 130841/131072
13: 65305/65536
14: 65107/65536
15: 259147/262144
16: 257181/262144
17: 7947/8192
18: 7821/8192
19: 30605/32768
20: 29723/32768
21: 3577/4096
22: 3409/4096
23: 102767/131072
24: 95561/131072
25: 21897/32768
26: 19755/32768
27: 35037/65536
28: 30499/65536
29: 13013/32768
30: 10871/32768
31: 35511/131072
32: 28305/131072
33: 687/4096
34: 519/4096
35: 3045/32768
36: 2163/32768
37: 371/8192
38: 245/8192
39: 4963/262144
40: 2997/262144
41: 429/65536
42: 231/65536
43: 231/131072
44: 105/131072
45: 21/65536
46: 7/65536
47: 7/262144
48: 1/262144

Dice: [4, 4, 4, 4, 4, 12]
6: 1/1
7: 12287/12288
8: 12281/12288
9: 3065/3072
10: 1017/1024
11: 12083/12288
12: 11861/12288
13: 719/768
14: 229/256
15: 10325/12288
16: 9523/12288
17: 2155/3072
18: 1913/3072
19: 3325/6144
20: 2819/6144
21: 1159/3072
22: 917/3072
23: 2765/12288
24: 1963/12288
25: 27/256
26: 49/768
27: 427/12288
28: 205/12288
29: 7/1024
30: 7/3072
31: 7/12288
32: 1/12288

Dice: [4, 4, 4, 4, 6, 12]
6: 1/1
7: 18431/18432
8: 18425/18432
9: 4601/4608
10: 1529/1536
11: 9113/9216
12: 8999/9216
13: 17621/18432
14: 17059/18432
15: 16291/18432
16: 15317/18432
17: 7079/9216
18: 6425/9216
19: 11437/18432
20: 1107/2048
21: 941/2048
22: 6995/18432
23: 2791/9216
24: 2137/9216
25: 3115/18432
26: 2141/18432
27: 1373/18432
28: 811/18432
29: 217/9216
30: 103/9216
31: 7/1536
32: 7/4608
33: 7/18432
34: 1/18432

Dice: [4, 4, 4, 6, 6, 12]
6: 1/1
7: 27647/27648
8: 27641/27648
9: 6905/6912
10: 2297/2304
11: 3049/3072
12: 3023/3072
13: 13405/13824
14: 13099/13824
15: 1583/1728
16: 1511/1728
17: 11371/13824
18: 10525/13824
19: 2393/3456
20: 2135/3456
21: 1865/3456
22: 1591/3456
23: 1321/3456
24: 1063/3456
25: 3299/13824
26: 2453/13824
27: 217/1728
28: 145/1728
29: 725/13824
30: 419/13824
31: 49/3072
32: 23/3072
33: 7/2304
34: 7/6912
35: 7/27648
36: 1/27648

Dice: [4, 4, 6, 6, 6, 12]
6: 1/1
7: 41471/41472
8: 41465/41472
9: 10361/10368
10: 3449/3456
11: 2579/2592
12: 641/648
13: 40607/41472
14: 13315/13824
15: 9743/10368
16: 9409/10368
17: 8977/10368
18: 8447/10368
19: 15653/20736
20: 4753/6912
21: 2125/3456
22: 5585/10368
23: 4783/10368
24: 1331/3456
25: 2159/6912
26: 5083/20736
27: 1921/10368
28: 1391/10368
29: 959/10368
30: 625/10368
31: 509/13824
32: 865/41472
33: 7/648
34: 13/2592
35: 7/3456
36: 7/10368
37: 7/41472
38: 1/41472

Dice: [4, 6, 6, 6, 6, 12]
6: 1/1
7: 62207/62208
8: 62201/62208
9: 15545/15552
10: 5177/5184
11: 61999/62208
12: 61753/62208
13: 15329/15552
14: 15151/15552
15: 59527/62208
16: 58001/62208
17: 6995/7776
18: 6671/7776
19: 8371/10368
20: 23287/31104
21: 5311/7776
22: 4759/7776
23: 5575/10368
24: 4793/10368
25: 3017/7776
26: 2465/7776
27: 7817/31104
28: 1997/10368
29: 1105/7776
30: 781/7776
31: 4207/62208
32: 2681/62208
33: 401/15552
34: 223/15552
35: 455/62208
36: 209/62208
37: 7/5184
38: 7/15552
39: 7/62208
40: 1/62208

Dice: [6, 6, 6, 6, 6, 12]
6: 1/1
7: 93311/93312
8: 93305/93312
9: 23321/23328
10: 7769/7776
11: 15517/15552
12: 15475/15552
13: 92393/93312
14: 91631/93312
15: 90449/93312
16: 88727/93312
17: 43177/46656
18: 41623/46656
19: 26453/31104
20: 24899/31104
21: 23105/31104
22: 63317/93312
23: 56849/93312
24: 50087/93312
25: 43225/93312
26: 36463/93312
27: 29995/93312
28: 7999/31104
29: 6205/31104
30: 4651/31104
31: 5033/46656
32: 3479/46656
33: 4585/93312
34: 2863/93312
35: 1681/93312
36: 919/93312
37: 77/15552
38: 35/15552
39: 7/7776
40: 7/23328
41: 7/93312
42: 1/93312

Dice: [4, 4, 4, 4, 8, 12]
6: 1/1
7: 24575/24576
8: 24569/24576
9: 6137/6144
10: 2041/2048
11: 12185/12288
12: 12071/12288
13: 5941/6144
14: 1933/2048
15: 2801/3072
16: 891/1024
17: 1677/2048
18: 4661/6144
19: 16975/24576
20: 15161/24576
21: 1657/3072
22: 1415/3072
23: 9415/24576
24: 7601/24576
25: 1483/6144
26: 371/2048
27: 133/1024
28: 271/3072
29: 115/2048
30: 203/6144
31: 217/12288
32: 103/12288
33: 7/2048
34: 7/6144
35: 7/24576
36: 1/24576

Dice: [4, 4, 4, 6, 8, 12]
6: 1/1
7: 36863/36864
8: 36857/36864
9: 9209/9216
10: 3065/3072
11: 4073/4096
12: 4047/4096
13: 36025/36864
14: 35407/36864
15: 34517/36864
16: 11105/12288
17: 3531/4096
18: 29909/36864
19: 1733/2304
20: 395/576
21: 22627/36864
22: 2205/4096
23: 1891/4096
24: 14237/36864
25: 181/576
26: 571/2304
27: 6955/36864
28: 565/4096
29: 1183/12288
30: 2347/36864
31: 1457/36864
32: 839/36864
33: 49/4096
34: 23/4096
35: 7/3072
36: 7/9216
37: 7/36864
38: 1/36864

Dice: [4, 4, 6, 6, 8, 12]
6: 1/1
7: 55295/55296
8: 55289/55296
9: 13817/13824
10: 4601/4608
11: 3443/3456
12: 857/864
13: 27215/27648
14: 26881/27648
15: 52769/55296
16: 51383/55296
17: 3097/3456
18: 2953/3456
19: 1853/2304
20: 191/256
21: 6277/9216
22: 16889/27648
23: 619/1152
24: 533/1152
25: 10759/27648
26: 2939/9216
27: 65/256
28: 451/2304
29: 503/3456
30: 359/3456
31: 3913/55296
32: 2527/55296
33: 767/27648
34: 433/27648
35: 7/864
36: 13/3456
37: 7/4608
38: 7/13824
39: 7/55296
40: 1/55296

Dice: [4, 6, 6, 6, 8, 12]
6: 1/1
7: 82943/82944
8: 82937/82944
9: 20729/20736
10: 6905/6912
11: 82735/82944
12: 82489/82944
13: 82051/82944
14: 9037/9216
15: 20059/20736
16: 2185/2304
17: 25505/27648
18: 73733/82944
19: 11713/13824
20: 33077/41472
21: 1919/2592
22: 877/1296
23: 25219/41472
24: 7415/13824
25: 6409/13824
26: 16253/41472
27: 419/1296
28: 673/2592
29: 8395/41472
30: 2111/13824
31: 9211/82944
32: 2143/27648
33: 119/2304
34: 677/20736
35: 179/9216
36: 893/82944
37: 455/82944
38: 209/82944
39: 7/6912
40: 7/20736
41: 7/82944
42: 1/82944

Dice: [6, 6, 6, 6, 8, 12]
6: 1/1
7: 124415/124416
8: 124409/124416
9: 31097/31104
10: 10361/10368
11: 20701/20736
12: 20659/20736
13: 15437/15552
14: 15341/15552
15: 60763/62208
16: 6653/6912
17: 9773/10368
18: 28493/31104
19: 109753/124416
20: 104575/124416
21: 2051/2592
22: 635/864
23: 6973/10368
24: 18833/31104
25: 347/648
26: 301/648
27: 12271/31104
28: 3395/10368
29: 229/864
30: 541/2592
31: 19841/124416
32: 14663/124416
33: 2611/31104
34: 595/10368
35: 259/6912
36: 1445/62208
37: 211/15552
38: 115/15552
39: 77/20736
40: 35/20736
41: 7/10368
42: 7/31104
43: 7/124416
44: 1/124416

Dice: [4, 4, 4, 8, 8, 12]
6: 1/1
7: 49151/49152
8: 49145/49152
9: 12281/12288
10: 4089/4096
11: 16315/16384
12: 16237/16384
13: 2013/2048
14: 1987/2048
15: 23389/24576
16: 22763/24576
17: 2743/3072
18: 2615/3072
19: 39383/49152
20: 36545/49152
21: 8345/12288
22: 2497/4096
23: 13195/24576
24: 11381/24576
25: 1599/4096
26: 3943/12288
27: 12607/49152
28: 9769/49152
29: 457/3072
30: 329/3072
31: 1813/24576
32: 1187/24576
33: 61/2048
34: 35/2048
35: 147/16384
36: 69/16384
37: 7/4096
38: 7/12288
39: 7/49152
40: 1/49152

Dice: [4, 4, 6, 8, 8, 12]
6: 1/1
7: 73727/73728
8: 73721/73728
9: 18425/18432
10: 6137/6144
11: 4595/4608
12: 1145/1152
13: 24287/24576
14: 72187/73728
15: 35587/36864
16: 11623/12288
17: 16951/18432
18: 5443/6144
19: 62245/73728
20: 58595/73728
21: 27203/36864
22: 24877/36864
23: 44747/73728
24: 39517/73728
25: 34211/73728
26: 28981/73728
27: 11987/36864
28: 9661/36864
29: 15133/73728
30: 11483/73728
31: 701/6144
32: 1481/18432
33: 665/12288
34: 1277/36864
35: 1541/73728
36: 289/24576
37: 7/1152
38: 13/4608
39: 7/6144
40: 7/18432
41: 7/73728
42: 1/73728

Dice: [4, 6, 6, 8, 8, 12]
6: 1/1
7: 110591/110592
8: 110585/110592
9: 27641/27648
10: 9209/9216
11: 110383/110592
12: 110137/110592
13: 18283/18432
14: 54487/55296
15: 107857/110592
16: 106231/110592
17: 51991/55296
18: 16835/18432
19: 97241/110592
20: 92639/110592
21: 43607/55296
22: 40513/55296
23: 3091/4608
24: 2785/4608
25: 14795/27648
26: 12853/27648
27: 1823/4608
28: 1517/4608
29: 14783/55296
30: 11689/55296
31: 17953/110592
32: 13351/110592
33: 1597/18432
34: 3305/55296
35: 4361/110592
36: 2735/110592
37: 809/55296
38: 149/18432
39: 455/110592
40: 209/110592
41: 7/9216
42: 7/27648
43: 7/110592
44: 1/110592

Dice: [6, 6, 6, 8, 8, 12]
6: 1/1
7: 165887/165888
8: 165881/165888
9: 41465/41472
10: 13817/13824
11: 27613/27648
12: 27571/27648
13: 54989/55296
14: 54731/55296
15: 162971/165888
16: 161149/165888
17: 79283/82944
18: 77533/82944
19: 75257/82944
20: 72407/82944
21: 137923/165888
22: 14429/18432
23: 30179/41472
24: 27661/41472
25: 49931/82944
26: 44317/82944
27: 38627/82944
28: 33013/82944
29: 13811/41472
30: 11293/41472
31: 4003/18432
32: 27965/165888
33: 10537/82944
34: 7687/82944
35: 5411/82944
36: 3661/82944
37: 4739/165888
38: 2917/165888
39: 565/55296
40: 307/55296
41: 77/27648
42: 35/27648
43: 7/13824
44: 7/41472
45: 7/165888
46: 1/165888

Dice: [4, 4, 8, 8, 8, 12]
6: 1/1
7: 98303/98304
8: 98297/98304
9: 24569/24576
10: 8185/8192
11: 6131/6144
12: 1529/1536
13: 24359/24576
14: 8063/8192
15: 95723/98304
16: 94237/98304
17: 11525/12288
18: 11191/12288
19: 86161/98304
20: 27357/32768
21: 6439/8192
22: 17951/24576
23: 65773/98304
24: 19769/32768
25: 6571/12288
26: 5717/12288
27: 12999/32768
28: 32531/98304
29: 6625/24576
30: 1753/8192
31: 5411/32768
32: 12143/98304
33: 1097/12288
34: 763/12288
35: 4067/98304
36: 2581/98304
37: 129/8192
38: 217/24576
39: 7/1536
40: 13/6144
41: 7/8192
42: 7/24576
43: 7/98304
44: 1/98304

Dice: [4, 6, 8, 8, 8, 12]
6: 1/1
7: 147455/147456
8: 147449/147456
9: 36857/36864
10: 12281/12288
11: 147247/147456
12: 147001/147456
13: 146561/147456
14: 145831/147456
15: 72347/73728
16: 71509/73728
17: 140665/147456
18: 137503/147456
19: 44473/49152
20: 128333/147456
21: 61105/73728
22: 57535/73728
23: 743/1024
24: 511/768
25: 29539/49152
26: 26245/49152
27: 22907/49152
28: 19613/49152
29: 257/768
30: 281/1024
31: 16193/73728
32: 12623/73728
33: 19123/147456
34: 4679/49152
35: 9953/147456
36: 6791/147456
37: 2219/73728
38: 1381/73728
39: 1625/147456
40: 895/147456
41: 455/147456
42: 209/147456
43: 7/12288
44: 7/36864
45: 7/147456
46: 1/147456

Dice: [6, 6, 8, 8, 8, 12]
6: 1/1
7: 221183/221184
8: 221177/221184
9: 55289/55296
10: 18425/18432
11: 36829/36864
12: 36787/36864
13: 110131/110592
14: 109741/110592
15: 1705/1728
16: 13523/13824
17: 13355/13824
18: 3281/3456
19: 34183/36864
20: 33145/36864
21: 5311/6144
22: 45509/55296
23: 171425/221184
24: 159479/221184
25: 2711/4096
26: 22073/36864
27: 273/512
28: 239/512
29: 14791/36864
30: 1385/4096
31: 61705/221184
32: 49759/221184
33: 9787/55296
34: 833/6144
35: 3719/36864
36: 2681/36864
37: 175/3456
38: 469/13824
39: 301/13824
40: 23/1728
41: 851/110592
42: 461/110592
43: 77/36864
44: 35/36864
45: 7/18432
46: 7/55296
47: 7/221184
48: 1/221184

Dice: [4, 8, 8, 8, 8, 12]
6: 1/1
7: 196607/196608
8: 196601/196608
9: 49145/49152
10: 16377/16384
11: 196399/196608
12: 196153/196608
13: 1529/1536
14: 2031/2048
15: 193819/196608
16: 64031/65536
17: 15803/16384
18: 46571/49152
19: 15157/16384
20: 44077/49152
21: 42367/49152
22: 40333/49152
23: 75967/98304
24: 23563/32768
25: 32459/49152
26: 9795/16384
27: 52385/98304
28: 45919/98304
29: 6589/16384
30: 16693/49152
31: 9205/32768
32: 22337/98304
33: 8819/49152
34: 6785/49152
35: 5075/49152
36: 1227/16384
37: 2581/49152
38: 581/16384
39: 1505/65536
40: 2789/196608
41: 17/2048
42: 7/1536
43: 455/196608
44: 209/196608
45: 7/16384
46: 7/49152
47: 7/196608
48: 1/196608

Dice: [6, 8, 8, 8, 8, 12]
6: 1/1
7: 294911/294912
8: 294905/294912
9: 73721/73728
10: 24569/24576
11: 49117/49152
12: 49075/49152
13: 293989/294912
14: 293203/294912
15: 291941/294912
16: 96673/98304
17: 15957/16384
18: 141667/147456
19: 278113/294912
20: 271351/294912
21: 87625/98304
22: 84191/98304
23: 80137/98304
24: 226445/294912
25: 210827/294912
26: 193805/294912
27: 58571/98304
28: 17439/32768
29: 15329/32768
30: 39733/98304
31: 101107/294912
32: 84085/294912
33: 68467/294912
34: 18167/98304
35: 14113/98304
36: 10679/98304
37: 23561/294912
38: 16799/294912
39: 5789/147456
40: 427/16384
41: 1631/98304
42: 2971/294912
43: 1709/294912
44: 923/294912
45: 77/49152
46: 35/49152
47: 7/24576
48: 7/73728
49: 7/294912
50: 1/294912

Dice: [8, 8, 8, 8, 8, 12]
6: 1/1
7: 393215/393216
8: 393209/393216
9: 98297/98304
10: 32761/32768
11: 65501/65536
12: 65459/65536
13: 32691/32768
14: 32625/32768
15: 195109/196608
16: 194123/196608
17: 96337/98304
18: 95315/98304
19: 375703/393216
20: 368401/393216
21: 5611/6144
22: 3621/4096
23: 166909/196608
24: 158843/196608
25: 12471/16384
26: 34859/49152
27: 1337/2048
28: 911/1536
29: 26113/49152
30: 23039/49152
31: 625/1536
32: 711/2048
33: 14293/49152
34: 3913/16384
35: 37765/196608
36: 29699/196608
37: 475/4096
38: 533/6144
39: 24815/393216
40: 17513/393216
41: 2989/98304
42: 1967/98304
43: 2485/196608
44: 1499/196608
45: 143/32768
46: 77/32768
47: 77/65536
48: 35/65536
49: 7/32768
50: 7/98304
51: 7/393216
52: 1/393216

Dice: [4, 4, 4, 4, 12, 12]
6: 1/1
7: 36863/36864
8: 36857/36864
9: 9209/9216
10: 3065/3072
11: 18329/18432
12: 18215/18432
13: 9013/9216
14: 2957/3072
15: 3855/4096
16: 33665/36864
17: 253/288
18: 241/288
19: 4843/6144
20: 13511/18432
21: 3095/4608
22: 2789/4608
23: 1645/3072
24: 1427/3072
25: 1819/4608
26: 1513/4608
27: 4921/18432
28: 1301/6144
29: 47/288
30: 35/288
31: 3199/36864
32: 241/4096
33: 115/3072
34: 203/9216
35: 217/18432
36: 103/18432
37: 7/3072
38: 7/9216
39: 7/36864
40: 1/36864

Dice: [4, 4, 4, 6, 12, 12]
6: 1/1
7: 55295/55296
8: 55289/55296
9: 13817/13824
10: 4601/4608
11: 6121/6144
12: 6095/6144
13: 54457/55296
14: 53839/55296
15: 13237/13824
16: 12935/13824
17: 50183/55296
18: 48257/55296
19: 851/1024
20: 7213/9216
21: 559/768
22: 4613/6912
23: 16655/27648
24: 14777/27648
25: 12871/27648
26: 10993/27648
27: 2299/6912
28: 209/768
29: 2003/9216
30: 173/1024
31: 7039/55296
32: 5113/55296
33: 889/13824
34: 587/13824
35: 1457/55296
36: 839/55296
37: 49/6144
38: 23/6144
39: 7/4608
40: 7/13824
41: 7/55296
42: 1/55296

Dice: [4, 4, 6, 6, 12, 12]
6: 1/1
7: 82943/82944
8: 82937/82944
9: 20729/20736
10: 6905/6912
11: 5171/5184
12: 1289/1296
13: 41039/41472
14: 40705/41472
15: 2513/2592
16: 4939/5184
17: 6431/6912
18: 18703/20736
19: 23971/27648
20: 7607/9216
21: 8059/10368
22: 833/1152
23: 215/324
24: 1555/2592
25: 11065/20736
26: 9671/20736
27: 1037/2592
28: 109/324
29: 319/1152
30: 2309/10368
31: 1609/9216
32: 3677/27648
33: 2033/20736
34: 481/6912
35: 245/5184
36: 79/2592
37: 767/41472
38: 433/41472
39: 7/1296
40: 13/5184
41: 7/6912
42: 7/20736
43: 7/82944
44: 1/82944

Dice: [4, 6, 6, 6, 12, 12]
6: 1/1
7: 124415/124416
8: 124409/124416
9: 31097/31104
10: 10361/10368
11: 124207/124416
12: 123961/124416
13: 123523/124416
14: 13645/13824
15: 13523/13824
16: 120125/124416
17: 117959/124416
18: 115121/124416
19: 55771/62208
20: 17863/20736
21: 11335/13824
22: 96073/124416
23: 44705/62208
24: 41063/62208
25: 37181/62208
26: 3683/6912
27: 3229/6912
28: 25027/62208
29: 21145/62208
30: 17503/62208
31: 28343/124416
32: 2489/13824
33: 2873/20736
34: 6437/62208
35: 9295/124416
36: 6457/124416
37: 4291/124416
38: 301/13824
39: 179/13824
40: 893/124416
41: 455/124416
42: 209/124416
43: 7/10368
44: 7/31104
45: 7/124416
46: 1/124416

Dice: [6, 6, 6, 6, 12, 12]
6: 1/1
7: 186623/186624
8: 186617/186624
9: 46649/46656
10: 15545/15552
11: 31069/31104
12: 31027/31104
13: 23213/23328
14: 23117/23328
15: 183733/186624
16: 181955/186624
17: 701/729
18: 5503/5832
19: 21469/23328
20: 20791/23328
21: 39941/46656
22: 38011/46656
23: 143203/186624
24: 133333/186624
25: 15323/23328
26: 13895/23328
27: 49655/93312
28: 43657/93312
29: 9433/23328
30: 8005/23328
31: 53291/186624
32: 43421/186624
33: 8645/46656
34: 6715/46656
35: 2537/23328
36: 1859/23328
37: 329/5832
38: 28/729
39: 4669/186624
40: 2891/186624
41: 211/23328
42: 115/23328
43: 77/31104
44: 35/31104
45: 7/15552
46: 7/46656
47: 7/186624
48: 1/186624

Dice: [4, 4, 4, 8, 12, 12]
6: 1/1
7: 73727/73728
8: 73721/73728
9: 18425/18432
10: 6137/6144
11: 8169/8192
12: 8143/8192
13: 3037/3072
14: 3011/3072
15: 71353/73728
16: 23365/24576
17: 1901/2048
18: 16583/18432
19: 21251/24576
20: 6743/8192
21: 2381/3072
22: 2215/3072
23: 2711/4096
24: 22073/36864
25: 273/512
26: 239/512
27: 14791/36864
28: 1385/4096
29: 857/3072
30: 691/3072
31: 1449/8192
32: 3325/24576
33: 1849/18432
34: 147/2048
35: 1211/24576
36: 2375/73728
37: 61/3072
38: 35/3072
39: 49/8192
40: 23/8192
41: 7/6144
42: 7/18432
43: 7/73728
44: 1/73728

Dice: [4, 4, 6, 8, 12, 12]
6: 1/1
7: 110591/110592
8: 110585/110592
9: 27641/27648
10: 9209/9216
11: 6899/6912
12: 1721/1728
13: 36575/36864
14: 109051/110592
15: 108037/110592
16: 106595/110592
17: 545/576
18: 709/768
19: 49451/55296
20: 47509/55296
21: 90431/110592
22: 28387/36864
23: 2477/3456
24: 569/864
25: 32995/55296
26: 9815/18432
27: 8617/18432
28: 22301/55296
29: 295/864
30: 979/3456
31: 8477/36864
32: 20161/110592
33: 7787/55296
34: 5845/55296
35: 59/768
36: 31/576
37: 3997/110592
38: 2555/110592
39: 1541/110592
40: 289/36864
41: 7/1728
42: 13/6912
43: 7/9216
44: 7/27648
45: 7/110592
46: 1/110592

Dice: [4, 6, 6, 8, 12, 12]
6: 1/1
7: 165887/165888
8: 165881/165888
9: 41465/41472
10: 13817/13824
11: 165679/165888
12: 165433/165888
13: 27499/27648
14: 82135/82944
15: 1133/1152
16: 3365/3456
17: 79625/82944
18: 2893/3072
19: 152329/165888
20: 147487/165888
21: 35411/41472
22: 33697/41472
23: 126953/165888
24: 118223/165888
25: 9061/13824
26: 24665/41472
27: 919/1728
28: 809/1728
29: 16807/41472
30: 4763/13824
31: 47665/165888
32: 38935/165888
33: 7775/41472
34: 6061/41472
35: 18401/165888
36: 13559/165888
37: 179/3072
38: 3319/82944
39: 91/3456
40: 19/1152
41: 809/82944
42: 149/27648
43: 455/165888
44: 209/165888
45: 7/13824
46: 7/41472
47: 7/165888
48: 1/165888

Dice: [6, 6, 6, 8, 12, 12]
6: 1/1
7: 248831/248832
8: 248825/248832
9: 62201/62208
10: 20729/20736
11: 41437/41472
12: 41395/41472
13: 82637/82944
14: 82379/82944
15: 122957/124416
16: 40681/41472
17: 40247/41472
18: 118963/124416
19: 233249/248832
20: 227303/248832
21: 109987/124416
22: 3911/4608
23: 2791/3456
24: 23663/31104
25: 176377/248832
26: 162367/248832
27: 36883/62208
28: 11015/20736
29: 9721/20736
30: 25325/62208
31: 86465/248832
32: 72455/248832
33: 7441/31104
34: 665/3456
35: 697/4608
36: 14429/124416
37: 21529/248832
38: 15583/248832
39: 5453/124416
40: 1225/41472
41: 791/41472
42: 1459/124416
43: 565/82944
44: 307/82944
45: 77/41472
46: 35/41472
47: 7/20736
48: 7/62208
49: 7/248832
50: 1/248832

Dice: [4, 4, 8, 8, 12, 12]
6: 1/1
7: 147455/147456
8: 147449/147456
9: 36857/36864
10: 12281/12288
11: 9203/9216
12: 2297/2304
13: 36647/36864
14: 4053/4096
15: 72437/73728
16: 23897/24576
17: 11777/12288
18: 34649/36864
19: 67553/73728
20: 21797/24576
21: 10465/12288
22: 29873/36864
23: 37517/49152
24: 104833/147456
25: 4019/6144
26: 3649/6144
27: 19595/36864
28: 17269/36864
29: 2495/6144
30: 2125/6144
31: 42623/147456
32: 11635/49152
33: 6991/36864
34: 1823/12288
35: 2779/24576
36: 6175/73728
37: 2215/36864
38: 511/12288
39: 679/24576
40: 1291/73728
41: 43/4096
42: 217/36864
43: 7/2304
44: 13/9216
45: 7/12288
46: 7/36864
47: 7/147456
48: 1/147456

Dice: [4, 6, 8, 8, 12, 12]
6: 1/1
7: 221183/221184
8: 221177/221184
9: 55289/55296
10: 18425/18432
11: 220975/221184
12: 220729/221184
13: 220289/221184
14: 219559/221184
15: 24269/24576
16: 216739/221184
17: 71455/73728
18: 211147/221184
19: 206939/221184
20: 201613/221184
21: 195071/221184
22: 62419/73728
23: 89083/110592
24: 9325/12288
25: 156421/221184
26: 48017/73728
27: 65483/110592
28: 58717/110592
29: 51875/110592
30: 45109/110592
31: 25711/73728
32: 64763/221184
33: 2963/12288
34: 21509/110592
35: 11309/73728
36: 26113/221184
37: 19571/221184
38: 14245/221184
39: 10037/221184
40: 2273/73728
41: 4445/221184
42: 307/24576
43: 1625/221184
44: 895/221184
45: 455/221184
46: 209/221184
47: 7/18432
48: 7/55296
49: 7/221184
50: 1/221184

Dice: [6, 6, 8, 8, 12, 12]
6: 1/1
7: 331775/331776
8: 331769/331776
9: 82937/82944
10: 27641/27648
11: 55261/55296
12: 55219/55296
13: 165427/165888
14: 165037/165888
15: 328831/331776
16: 326953/331776
17: 81061/82944
18: 80123/82944
19: 315481/331776
20: 309007/331776
21: 50149/55296
22: 145505/165888
23: 46547/55296
24: 44285/55296
25: 31297/41472
26: 9727/13824
27: 215177/331776
28: 195887/331776
29: 21995/41472
30: 19477/41472
31: 135889/331776
32: 116599/331776
33: 4097/13824
34: 10175/41472
35: 11011/55296
36: 8749/55296
37: 20383/165888
38: 5147/55296
39: 22769/331776
40: 16295/331776
41: 2821/82944
42: 1883/82944
43: 4823/331776
44: 2945/331776
45: 851/165888
46: 461/165888
47: 77/55296
48: 35/55296
49: 7/27648
50: 7/82944
51: 7/331776
52: 1/331776

Dice: [4, 8, 8, 8, 12, 12]
6: 1/1
7: 294911/294912
8: 294905/294912
9: 73721/73728
10: 24569/24576
11: 294703/294912
12: 294457/294912
13: 2297/2304
14: 3055/3072
15: 16229/16384
16: 145195/147456
17: 35989/36864
18: 35563/36864
19: 69995/73728
20: 22847/24576
21: 3707/4096
22: 32261/36864
23: 247657/294912
24: 235615/294912
25: 18503/24576
26: 51767/73728
27: 190931/294912
28: 173909/294912
29: 3257/6144
30: 2887/6144
31: 121003/294912
32: 103981/294912
33: 21961/73728
34: 6073/24576
35: 59297/294912
36: 47255/294912
37: 4603/36864
38: 389/4096
39: 1729/24576
40: 3733/73728
41: 1301/36864
42: 875/36864
43: 2261/147456
44: 155/16384
45: 17/3072
46: 7/2304
47: 455/294912
48: 209/294912
49: 7/24576
50: 7/73728
51: 7/294912
52: 1/294912

Dice: [6, 8, 8, 8, 12, 12]
6: 1/1
7: 442367/442368
8: 442361/442368
9: 110585/110592
10: 36857/36864
11: 73693/73728
12: 73651/73728
13: 441445/442368
14: 440659/442368
15: 109849/110592
16: 109367/110592
17: 217327/221184
18: 215353/221184
19: 26585/27648
20: 26147/27648
21: 102359/110592
22: 99601/110592
23: 385105/442368
24: 369463/442368
25: 29291/36864
26: 9203/12288
27: 8587/12288
28: 71321/110592
29: 260171/442368
30: 234269/442368
31: 208099/442368
32: 182197/442368
33: 39271/110592
34: 3701/12288
35: 3085/12288
36: 7573/36864
37: 72905/442368
38: 57263/442368
39: 10991/110592
40: 8233/110592
41: 1501/27648
42: 1063/27648
43: 5831/221184
44: 3857/221184
45: 1225/110592
46: 743/110592
47: 1709/442368
48: 923/442368
49: 77/73728
50: 35/73728
51: 7/36864
52: 7/110592
53: 7/442368
54: 1/442368

Dice: [8, 8, 8, 8, 12, 12]
6: 1/1
7: 589823/589824
8: 589817/589824
9: 147449/147456
10: 49145/49152
11: 98269/98304
12: 98227/98304
13: 49075/49152
14: 49009/49152
15: 586825/589824
16: 64983/65536
17: 24247/24576
18: 72223/73728
19: 286051/294912
20: 282277/294912
21: 8669/9216
22: 471/512
23: 175879/196608
24: 509779/589824
25: 40745/49152
26: 12921/16384
27: 12183/16384
28: 34127/49152
29: 31531/49152
30: 86411/147456
31: 51989/98304
32: 46315/98304
33: 61045/147456
34: 17621/49152
35: 15025/49152
36: 4201/16384
37: 3463/16384
38: 8407/49152
39: 80045/589824
40: 20729/196608
41: 41/512
42: 547/9216
43: 12635/294912
44: 8861/294912
45: 1505/73728
46: 329/24576
47: 553/65536
48: 2999/589824
49: 143/49152
50: 77/49152
51: 77/98304
52: 35/98304
53: 7/49152
54: 7/147456
55: 7/589824
56: 1/589824

Dice: [4, 4, 4, 12, 12, 12]
6: 1/1
7: 110591/110592
8: 110585/110592
9: 27641/27648
10: 9209/9216
11: 12265/12288
12: 12239/12288
13: 4573/4608
14: 4547/4608
15: 501/512
16: 13369/13824
17: 13159/13824
18: 12889/13824
19: 100411/110592
20: 97117/110592
21: 23299/27648
22: 7387/9216
23: 9277/12288
24: 25937/36864
25: 4481/6912
26: 4079/6912
27: 3665/6912
28: 3247/6912
29: 2833/6912
30: 2431/6912
31: 10927/36864
32: 3011/12288
33: 1829/9216
34: 4349/27648
35: 13475/110592
36: 10181/110592
37: 935/13824
38: 665/13824
39: 455/13824
40: 11/512
41: 61/4608
42: 35/4608
43: 49/12288
44: 23/12288
45: 7/9216
46: 7/27648
47: 7/110592
48: 1/110592

Dice: [4, 4, 6, 12, 12, 12]
6: 1/1
7: 165887/165888
8: 165881/165888
9: 41465/41472
10: 13817/13824
11: 10355/10368
12: 2585/2592
13: 55007/55296
14: 164347/165888
15: 4537/4608
16: 40471/41472
17: 39977/41472
18: 13109/13824
19: 153991/165888
20: 149873/165888
21: 6037/6912
22: 17375/20736
23: 33053/41472
24: 10381/13824
25: 116173/165888
26: 107147/165888
27: 4069/6912
28: 10985/20736
29: 9751/20736
30: 2843/6912
31: 58741/165888
32: 49715/165888
33: 3443/13824
34: 8419/41472
35: 3361/20736
36: 875/6912
37: 16015/165888
38: 11897/165888
39: 715/13824
40: 1495/41472
41: 1001/41472
42: 71/4608
43: 1541/165888
44: 289/55296
45: 7/2592
46: 13/10368
47: 7/13824
48: 7/41472
49: 7/165888
50: 1/165888

Dice: [4, 6, 6, 12, 12, 12]
6: 1/1
7: 248831/248832
8: 248825/248832
9: 62201/62208
10: 20729/20736
11: 248623/248832
12: 248377/248832
13: 41323/41472
14: 123607/124416
15: 246095/248832
16: 244457/248832
17: 40361/41472
18: 39847/41472
19: 78355/82944
20: 76661/82944
21: 1381/1536
22: 12011/13824
23: 23041/27648
24: 65749/82944
25: 1291/1728
26: 1807/2592
27: 659/1024
28: 48709/82944
29: 10975/20736
30: 9761/20736
31: 34235/82944
32: 365/1024
33: 785/2592
34: 437/1728
35: 17195/82944
36: 4607/27648
37: 1813/13824
38: 155/1536
39: 6283/82944
40: 4589/82944
41: 1625/41472
42: 1111/41472
43: 4375/248832
44: 2737/248832
45: 809/124416
46: 149/41472
47: 455/248832
48: 209/248832
49: 7/20736
50: 7/62208
51: 7/248832
52: 1/248832

Dice: [6, 6, 6, 12, 12, 12]
6: 1/1
7: 373247/373248
8: 373241/373248
9: 93305/93312
10: 31097/31104
11: 62173/62208
12: 62131/62208
13: 124109/124416
14: 123851/124416
15: 123443/124416
16: 368495/373248
17: 182935/186624
18: 181129/186624
19: 7447/7776
20: 3659/3888
21: 114499/124416
22: 37111/41472
23: 35851/41472
24: 34381/41472
25: 511/648
26: 1927/2592
27: 14393/20736
28: 39893/62208
29: 72889/124416
30: 65791/124416
31: 58625/124416
32: 51527/124416
33: 22315/62208
34: 6343/20736
35: 665/2592
36: 137/648
37: 7091/41472
38: 5621/41472
39: 4361/41472
40: 9917/124416
41: 229/3888
42: 329/7776
43: 5495/186624
44: 3689/186624
45: 4753/373248
46: 973/124416
47: 565/124416
48: 307/124416
49: 77/62208
50: 35/62208
51: 7/31104
52: 7/93312
53: 7/373248
54: 1/373248

Dice: [4, 4, 8, 12, 12, 12]
6: 1/1
7: 221183/221184
8: 221177/221184
9: 55289/55296
10: 18425/18432
11: 13811/13824
12: 3449/3456
13: 55079/55296
14: 6101/6144
15: 24289/24576
16: 217103/221184
17: 13439/13824
18: 13265/13824
19: 208627/221184
20: 68023/73728
21: 5513/6144
22: 47939/55296
23: 5747/6912
24: 10933/13824
25: 13741/18432
26: 38477/55296
27: 142133/221184
28: 129763/221184
29: 1219/2304
30: 1085/2304
31: 91421/221184
32: 79051/221184
33: 16819/55296
34: 4691/18432
35: 2891/13824
36: 1165/6912
37: 7357/55296
38: 631/6144
39: 5705/73728
40: 12557/221184
41: 559/13824
42: 385/13824
43: 4081/221184
44: 287/24576
45: 43/6144
46: 217/55296
47: 7/3456
48: 13/13824
49: 7/18432
50: 7/55296
51: 7/221184
52: 1/221184

Dice: [4, 6, 8, 12, 12, 12]
6: 1/1
7: 331775/331776
8: 331769/331776
9: 82937/82944
10: 27641/27648
11: 331567/331776
12: 331321/331776
13: 330881/331776
14: 330151/331776
15: 82253/82944
16: 27277/27648
17: 324929/331776
18: 321655/331776
19: 317323/331776
20: 103919/110592
21: 76199/82944
22: 74077/82944
23: 95401/110592
24: 274445/331776
25: 261061/331776
26: 82049/110592
27: 57467/82944
28: 53113/82944
29: 64727/110592
30: 175379/331776
31: 156397/331776
32: 45865/110592
33: 29831/82944
34: 25477/82944
35: 28543/110592
36: 70715/331776
37: 57331/331776
38: 15191/110592
39: 8867/82944
40: 6745/82944
41: 6673/110592
42: 14453/331776
43: 10121/331776
44: 6847/331776
45: 371/27648
46: 691/82944
47: 1625/331776
48: 895/331776
49: 455/331776
50: 209/331776
51: 7/27648
52: 7/82944
53: 7/331776
54: 1/331776

Dice: [6, 6, 8, 12, 12, 12]
6: 1/1
7: 497663/497664
8: 497657/497664
9: 124409/124416
10: 41465/41472
11: 82909/82944
12: 82867/82944
13: 248371/248832
14: 247981/248832
15: 82453/82944
16: 82139/82944
17: 2269/2304
18: 60787/62208
19: 60145/62208
20: 59305/62208
21: 4853/5184
22: 9485/10368
23: 73739/82944
24: 23735/27648
25: 22757/27648
26: 64945/82944
27: 20417/27648
28: 57229/82944
29: 26467/41472
30: 24217/41472
31: 43807/82944
32: 39137/82944
33: 17255/41472
34: 15005/41472
35: 25715/82944
36: 7231/27648
37: 17999/82944
38: 4891/27648
39: 3913/27648
40: 9205/82944
41: 883/10368
42: 331/5184
43: 2903/62208
44: 2063/62208
45: 1421/62208
46: 35/2304
47: 805/82944
48: 491/82944
49: 851/248832
50: 461/248832
51: 77/82944
52: 35/82944
53: 7/41472
54: 7/124416
55: 7/497664
56: 1/497664

Dice: [4, 8, 8, 12, 12, 12]
6: 1/1
7: 442367/442368
8: 442361/442368
9: 110585/110592
10: 36857/36864
11: 442159/442368
12: 441913/442368
13: 3449/3456
14: 4591/4608
15: 439577/442368
16: 437839/442368
17: 108835/110592
18: 107969/110592
19: 106807/110592
20: 105293/110592
21: 103373/110592
22: 100999/110592
23: 392531/442368
24: 378997/442368
25: 3785/4608
26: 5401/6912
27: 108679/147456
28: 304691/442368
29: 7831/12288
30: 64517/110592
31: 116777/221184
32: 104407/221184
33: 46075/110592
34: 4457/12288
35: 137677/442368
36: 38777/147456
37: 1511/6912
38: 823/4608
39: 63371/442368
40: 49837/442368
41: 9593/110592
42: 7219/110592
43: 5299/110592
44: 3785/110592
45: 2623/110592
46: 1757/110592
47: 4529/442368
48: 2791/442368
49: 17/4608
50: 7/3456
51: 455/442368
52: 209/442368
53: 7/36864
54: 7/110592
55: 7/442368
56: 1/442368

Dice: [6, 8, 8, 12, 12, 12]
6: 1/1
7: 663551/663552
8: 663545/663552
9: 165881/165888
10: 55289/55296
11: 110557/110592
12: 110515/110592
13: 662629/663552
14: 661843/663552
15: 220193/221184
16: 658645/663552
17: 327905/331776
18: 325903/331776
19: 71815/73728
20: 71009/73728
21: 629725/663552
22: 617963/663552
23: 301763/331776
24: 293101/331776
25: 62873/73728
26: 542455/663552
27: 516071/663552
28: 162299/221184
29: 227621/331776
30: 210763/331776
31: 128755/221184
32: 350047/663552
33: 313505/663552
34: 92429/221184
35: 121013/331776
36: 104155/331776
37: 58885/221184
38: 147481/663552
39: 121097/663552
40: 10855/73728
41: 38675/331776
42: 30013/331776
43: 45589/663552
44: 33827/663552
45: 2719/73728
46: 1913/73728
47: 5873/331776
48: 3871/331776
49: 4907/663552
50: 991/221184
51: 1709/663552
52: 923/663552
53: 77/110592
54: 35/110592
55: 7/55296
56: 7/165888
57: 7/663552
58: 1/663552

Dice: [8, 8, 8, 12, 12, 12]
6: 1/1
7: 884735/884736
8: 884729/884736
9: 221177/221184
10: 73721/73728
11: 147421/147456
12: 147379/147456
13: 73651/73728
14: 73585/73728
15: 36739/36864
16: 109969/110592
17: 219203/221184
18: 218153/221184
19: 288935/294912
20: 286337/294912
21: 4421/4608
22: 8707/9216
23: 273253/294912
24: 266723/294912
25: 194213/221184
26: 187415/221184
27: 89821/110592
28: 28487/36864
29: 53773/73728
30: 50311/73728
31: 559591/884736
32: 513505/884736
33: 58277/110592
34: 52315/110592
35: 371231/884736
36: 325145/884736
37: 23417/73728
38: 19955/73728
39: 8377/36864
40: 20771/110592
41: 33769/221184
42: 26971/221184
43: 28189/294912
44: 21659/294912
45: 509/9216
46: 187/4608
47: 8575/294912
48: 5977/294912
49: 3031/221184
50: 1981/221184
51: 623/110592
52: 125/36864
53: 143/73728
54: 77/73728
55: 77/147456
56: 35/147456
57: 7/73728
58: 7/221184
59: 7/884736
60: 1/884736

Dice: [4, 4, 12, 12, 12, 12]
6: 1/1
7: 331775/331776
8: 331769/331776
9: 82937/82944
10: 27641/27648
11: 20723/20736
12: 5177/5184
13: 82727/82944
14: 9173/9216
15: 41149/41472
16: 40961/41472
17: 81397/82944
18: 80687/82944
19: 79753/82944
20: 26185/27648
21: 25685/27648
22: 75221/82944
23: 36515/41472
24: 435/512
25: 67541/82944
26: 64255/82944
27: 5053/6912
28: 3545/5184
29: 52555/82944
30: 16067/27648
31: 87457/165888
32: 78431/165888
33: 11581/27648
34: 30389/82944
35: 1639/5184
36: 1859/6912
37: 18689/82944
38: 15403/82944
39: 77/512
40: 4957/41472
41: 7723/82944
42: 1963/27648
43: 1463/27648
44: 3191/82944
45: 2257/82944
46: 1547/82944
47: 511/41472
48: 323/41472
49: 43/9216
50: 217/82944
51: 7/5184
52: 13/20736
53: 7/27648
54: 7/82944
55: 7/331776
56: 1/331776

Dice: [4, 6, 12, 12, 12, 12]
6: 1/1
7: 497663/497664
8: 497657/497664
9: 124409/124416
10: 41465/41472
11: 497455/497664
12: 497209/497664
13: 496769/497664
14: 496039/497664
15: 494899/497664
16: 493205/497664
17: 490789/497664
18: 487459/497664
19: 5963/6144
20: 477197/497664
21: 469817/497664
22: 460655/497664
23: 149845/165888
24: 48481/55296
25: 140323/165888
26: 134485/165888
27: 4739/6144
28: 120775/165888
29: 113023/165888
30: 34931/55296
31: 96203/165888
32: 87389/165888
33: 78499/165888
34: 69685/165888
35: 20365/55296
36: 52865/165888
37: 45113/165888
38: 1405/6144
39: 31403/165888
40: 25565/165888
41: 6815/55296
42: 16043/165888
43: 37009/497664
44: 27847/497664
45: 20467/497664
46: 181/6144
47: 10205/497664
48: 6875/497664
49: 4459/497664
50: 2765/497664
51: 1625/497664
52: 895/497664
53: 455/497664
54: 209/497664
55: 7/41472
56: 7/124416
57: 7/497664
58: 1/497664

Dice: [6, 6, 12, 12, 12, 12]
6: 1/1
7: 746495/746496
8: 746489/746496
9: 186617/186624
10: 62201/62208
11: 124381/124416
12: 124339/124416
13: 372787/373248
14: 372397/373248
15: 743549/746496
16: 741659/746496
17: 184727/186624
18: 183761/186624
19: 27029/27648
20: 26771/27648
21: 13219/13824
22: 351247/373248
23: 688529/746496
24: 671687/746496
25: 13579/15552
26: 13099/15552
27: 200857/248832
28: 191119/248832
29: 90221/124416
30: 84467/124416
31: 156737/248832
32: 144023/248832
33: 32747/62208
34: 29461/62208
35: 104809/248832
36: 92095/248832
37: 39949/124416
38: 34195/124416
39: 57713/248832
40: 47975/248832
41: 2453/15552
42: 1973/15552
43: 74809/746496
44: 57967/746496
45: 22001/373248
46: 605/13824
47: 877/27648
48: 619/27648
49: 2863/186624
50: 1897/186624
51: 4837/746496
52: 2947/746496
53: 851/373248
54: 461/373248
55: 77/124416
56: 35/124416
57: 7/62208
58: 7/186624
59: 7/746496
60: 1/746496

Dice: [4, 8, 12, 12, 12, 12]
6: 1/1
7: 663551/663552
8: 663545/663552
9: 165881/165888
10: 55289/55296
11: 663343/663552
12: 663097/663552
13: 5177/5184
14: 6895/6912
15: 82595/82944
16: 1017/1024
17: 4559/4608
18: 40811/41472
19: 54017/55296
20: 160477/165888
21: 39613/41472
22: 38977/41472
23: 152783/165888
24: 49675/55296
25: 36149/41472
26: 11623/13824
27: 66833/82944
28: 63595/82944
29: 139/192
30: 14057/20736
31: 208729/331776
32: 21319/36864
33: 43649/82944
34: 39295/82944
35: 15545/36864
36: 123047/331776
37: 6679/20736
38: 53/192
39: 19349/82944
40: 16111/82944
41: 2201/13824
42: 5323/41472
43: 5621/55296
44: 13105/165888
45: 2495/41472
46: 1859/41472
47: 5411/165888
48: 1279/55296
49: 661/41472
50: 49/4608
51: 7/1024
52: 349/82944
53: 17/6912
54: 7/5184
55: 455/663552
56: 209/663552
57: 7/55296
58: 7/165888
59: 7/663552
60: 1/663552

Dice: [6, 8, 12, 12, 12, 12]
6: 1/1
7: 995327/995328
8: 995321/995328
9: 248825/248832
10: 82937/82944
11: 165853/165888
12: 165811/165888
13: 994405/995328
14: 993619/995328
15: 496177/497664
16: 18341/18432
17: 164593/165888
18: 491749/497664
19: 488951/497664
20: 485201/497664
21: 17789/18432
22: 52673/55296
23: 155423/165888
24: 456763/497664
25: 445393/497664
26: 432055/497664
27: 138899/165888
28: 133109/165888
29: 126673/165888
30: 119639/165888
31: 56039/82944
32: 17347/27648
33: 95761/165888
34: 87239/165888
35: 78649/165888
36: 70127/165888
37: 10301/27648
38: 26905/82944
39: 46249/165888
40: 39215/165888
41: 32779/165888
42: 26989/165888
43: 65609/497664
44: 52271/497664
45: 40901/497664
46: 10465/165888
47: 2623/55296
48: 643/18432
49: 12463/497664
50: 8713/497664
51: 5915/497664
52: 1295/165888
53: 91/18432
54: 1487/497664
55: 1709/995328
56: 923/995328
57: 77/165888
58: 35/165888
59: 7/82944
60: 7/248832
61: 7/995328
62: 1/995328

Dice: [8, 8, 12, 12, 12, 12]
6: 1/1
7: 1327103/1327104
8: 1327097/1327104
9: 331769/331776
10: 110585/110592
11: 221149/221184
12: 221107/221184
13: 110515/110592
14: 110449/110592
15: 1324103/1327104
16: 1322113/1327104
17: 82447/82944
18: 82181/82944
19: 327241/331776
20: 325231/331776
21: 20161/20736
22: 6649/6912
23: 157417/165888
24: 154751/165888
25: 1403/1536
26: 36923/41472
27: 95483/110592
28: 276215/331776
29: 66173/82944
30: 62983/82944
31: 158687/221184
32: 446251/663552
33: 103697/165888
34: 31841/55296
35: 174317/331776
36: 157459/331776
37: 23455/55296
38: 62191/165888
39: 217301/663552
40: 62497/221184
41: 19961/82944
42: 16771/82944
43: 55561/331776
44: 15109/110592
45: 4549/41472
46: 133/1536
47: 11137/165888
48: 8471/165888
49: 263/6912
50: 575/20736
51: 6545/331776
52: 4535/331776
53: 763/82944
54: 497/82944
55: 4991/1327104
56: 3001/1327104
57: 143/110592
58: 77/110592
59: 77/221184
60: 35/221184
61: 7/110592
62: 7/331776
63: 7/1327104
64: 1/1327104

Dice: [4, 12, 12, 12, 12, 12]
6: 1/1
7: 995327/995328
8: 995321/995328
9: 248825/248832
10: 82937/82944
11: 995119/995328
12: 994873/995328
13: 7769/7776
14: 10351/10368
15: 330845/331776
16: 990785/995328
17: 247061/248832
18: 246167/248832
19: 244943/248832
20: 81103/82944
21: 80393/82944
22: 238465/248832
23: 235081/248832
24: 230947/248832
25: 75331/82944
26: 220163/248832
27: 213419/248832
28: 205745/248832
29: 65717/82944
30: 2317/3072
31: 39421/55296
32: 36979/55296
33: 51613/82944
34: 47615/82944
35: 87059/165888
36: 78829/165888
37: 35329/82944
38: 31331/82944
39: 18317/55296
40: 15875/55296
41: 755/3072
42: 17227/82944
43: 43087/248832
44: 35413/248832
45: 28669/248832
46: 7613/82944
47: 17885/248832
48: 13751/248832
49: 10367/248832
50: 2551/82944
51: 1841/82944
52: 3889/248832
53: 2665/248832
54: 1771/248832
55: 4543/995328
56: 931/331776
57: 17/10368
58: 7/7776
59: 455/995328
60: 209/995328
61: 7/82944
62: 7/248832
63: 7/995328
64: 1/995328

Dice: [6, 12, 12, 12, 12, 12]
6: 1/1
7: 1492991/1492992
8: 1492985/1492992
9: 373241/373248
10: 124409/124416
11: 248797/248832
12: 248755/248832
13: 1492069/1492992
14: 1491283/1492992
15: 1490017/1492992
16: 1488071/1492992
17: 742597/746496
18: 740539/746496
19: 1475357/1492992
20: 1467611/1492992
21: 1457375/1492992
22: 1444153/1492992
23: 1427437/1492992
24: 1406731/1492992
25: 460525/497664
26: 450523/497664
27: 438799/497664
28: 1275851/1492992
29: 1229855/1492992
30: 1178489/1492992
31: 124667/165888
32: 117869/165888
33: 110615/165888
34: 308963/497664
35: 285251/497664
36: 261029/497664
37: 236635/497664
38: 212413/497664
39: 188701/497664
40: 55273/165888
41: 48019/165888
42: 41221/165888
43: 314503/1492992
44: 263137/1492992
45: 217141/1492992
46: 58865/497664
47: 47141/497664
48: 37139/497664
49: 86261/1492992
50: 65555/1492992
51: 48839/1492992
52: 35617/1492992
53: 25381/1492992
54: 17635/1492992
55: 5957/746496
56: 3899/746496
57: 4921/1492992
58: 2975/1492992
59: 1709/1492992
60: 923/1492992
61: 77/248832
62: 35/248832
63: 7/124416
64: 7/373248
65: 7/1492992
66: 1/1492992

Dice: [8, 12, 12, 12, 12, 12]
6: 1/1
7: 1990655/1990656
8: 1990649/1990656
9: 497657/497664
10: 165881/165888
11: 331741/331776
12: 331699/331776
13: 165811/165888
14: 165745/165888
15: 993827/995328
16: 330943/331776
17: 165223/165888
18: 494591/497664
19: 1972307/1990656
20: 1964021/1990656
21: 30515/31104
22: 6731/6912
23: 6667/6912
24: 29641/31104
25: 12977/13824
26: 38219/41472
27: 37375/41472
28: 36391/41472
29: 653/768
30: 12745/15552
31: 781627/995328
32: 744301/995328
33: 19555/27648
34: 55087/82944
35: 102661/165888
36: 94883/165888
37: 43471/82944
38: 39473/82944
39: 71005/165888
40: 63227/165888
41: 27857/82944
42: 8093/27648
43: 251027/995328
44: 213701/995328
45: 2807/15552
46: 115/768
47: 5081/41472
48: 4097/41472
49: 3253/41472
50: 847/13824
51: 1463/31104
52: 245/6912
53: 181/6912
54: 589/31104
55: 26635/1990656
56: 18349/1990656
57: 3073/497664
58: 665/165888
59: 833/331776
60: 1501/995328
61: 143/165888
62: 77/165888
63: 77/331776
64: 35/331776
65: 7/165888
66: 7/497664
67: 7/1990656
68: 1/1990656

Dice: [12, 12, 12, 12, 12, 12]
6: 1/1
7: 2985983/2985984
8: 2985977/2985984
9: 746489/746496
10: 248825/248832
11: 497629/497664
12: 497587/497664
13: 248755/248832
14: 248689/248832
15: 994327/995328
16: 2980979/2985984
17: 372247/373248
18: 371701/373248
19: 164857/165888
20: 164383/165888
21: 5117/5184
22: 1909/1944
23: 970877/995328
24: 962603/995328
25: 714233/746496
26: 704795/746496
27: 693443/746496
28: 226667/248832
29: 221441/248832
30: 215435/248832
31: 417263/497664
32: 402065/497664
33: 192661/248832
34: 550685/746496
35: 260701/373248
36: 245197/373248
37: 152659/248832
38: 141505/248832
39: 260273/497664
40: 237391/497664
41: 107327/248832
42: 96173/248832
43: 128051/373248
44: 112547/373248
45: 195811/746496
46: 56171/248832
47: 95599/497664
48: 80401/497664
49: 33397/248832
50: 27391/248832
51: 22165/248832
52: 53053/746496
53: 41701/746496
54: 32263/746496
55: 32725/995328
56: 24451/995328
57: 35/1944
58: 67/5184
59: 1505/165888
60: 1031/165888
61: 1547/373248
62: 1001/373248
63: 5005/2985984
64: 1001/995328
65: 143/248832
66: 77/248832
67: 77/497664
68: 35/497664
69: 7/248832
70: 7/746496
71: 7/2985984
72: 1/2985984

Dice: [4, 4, 4, 4, 4, 20]
6: 1/1
7: 20479/20480
8: 20473/20480
9: 5113/5120
10: 5099/5120
11: 4055/4096
12: 20053/20480
13: 1231/1280
14: 1199/1280
15: 18517/20480
16: 3543/4096
17: 4203/5120
18: 3961/5120
19: 14841/20480
20: 13823/20480
21: 5/8
22: 23/40
23: 21/40
24: 19/40
25: 17/40
26: 3/8
27: 6657/20480
28: 5639/20480
29: 1159/5120
30: 917/5120
31: 553/4096
32: 1963/20480
33: 81/1280
34: 49/1280
35: 427/20480
36: 41/4096
37: 21/5120
38: 7/5120
39: 7/20480
40: 1/20480

Dice: [4, 4, 4, 4, 6, 20]
6: 1/1
7: 30719/30720
8: 30713/30720
9: 7673/7680
10: 2553/2560
11: 15257/15360
12: 15143/15360
13: 29909/30720
14: 29347/30720
15: 28579/30720
16: 5521/6144
17: 13223/15360
18: 12569/15360
19: 1977/2560
20: 5561/7680
21: 20729/30720
22: 19199/30720
23: 23/40
24: 21/40
25: 19/40
26: 17/40
27: 11521/30720
28: 9991/30720
29: 2119/7680
30: 583/2560
31: 2791/15360
32: 2137/15360
33: 623/6144
34: 2141/30720
35: 1373/30720
36: 811/30720
37: 217/15360
38: 103/15360
39: 7/2560
40: 7/7680
41: 7/30720
42: 1/30720

Dice: [4, 4, 4, 6, 6, 20]
6: 1/1
7: 46079/46080
8: 46073/46080
9: 11513/11520
10: 3833/3840
11: 5097/5120
12: 5071/5120
13: 22621/23040
14: 4463/4608
15: 547/576
16: 2663/2880
17: 20587/23040
18: 19741/23040
19: 835/1024
20: 789/1024
21: 2777/3840
22: 7769/11520
23: 28793/46080
24: 5299/9216
25: 21/40
26: 19/40
27: 3917/9216
28: 17287/46080
29: 3751/11520
30: 1063/3840
31: 235/1024
32: 189/1024
33: 3299/23040
34: 2453/23040
35: 217/2880
36: 29/576
37: 145/4608
38: 419/23040
39: 49/5120
40: 23/5120
41: 7/3840
42: 7/11520
43: 7/46080
44: 1/46080

Dice: [4, 4, 6, 6, 6, 20]
6: 1/1
7: 69119/69120
8: 69113/69120
9: 17273/17280
10: 5753/5760
11: 4307/4320
12: 1073/1080
13: 13651/13824
14: 22531/23040
15: 3331/3456
16: 16321/17280
17: 15889/17280
18: 15359/17280
19: 19651/23040
20: 56159/69120
21: 83/108
22: 3119/4320
23: 3881/5760
24: 10793/17280
25: 39737/69120
26: 36287/69120
27: 32833/69120
28: 29383/69120
29: 6487/17280
30: 1879/5760
31: 1201/4320
32: 25/108
33: 12961/69120
34: 3389/23040
35: 1921/17280
36: 1391/17280
37: 959/17280
38: 125/3456
39: 509/23040
40: 173/13824
41: 7/1080
42: 13/4320
43: 7/5760
44: 7/17280
45: 7/69120
46: 1/69120

Dice: [4, 6, 6, 6, 6, 20]
6: 1/1
7: 103679/103680
8: 103673/103680
9: 25913/25920
10: 8633/8640
11: 103471/103680
12: 20645/20736
13: 25697/25920
14: 25519/25920
15: 100999/103680
16: 99473/103680
17: 12179/12960
18: 2371/2592
19: 91697/103680
20: 88039/103680
21: 20983/25920
22: 3973/5184
23: 74713/103680
24: 13955/20736
25: 5393/8640
26: 14897/25920
27: 9071/17280
28: 8209/17280
29: 11023/25920
30: 3247/8640
31: 6781/20736
32: 28967/103680
33: 1211/5184
34: 4937/25920
35: 15641/103680
36: 11983/103680
37: 221/2592
38: 781/12960
39: 4207/103680
40: 2681/103680
41: 401/25920
42: 223/25920
43: 91/20736
44: 209/103680
45: 7/8640
46: 7/25920
47: 7/103680
48: 1/103680

Dice: [6, 6, 6, 6, 6, 20]
6: 1/1
7: 155519/155520
8: 155513/155520
9: 38873/38880
10: 12953/12960
11: 5177/5184
12: 25843/25920
13: 154601/155520
14: 153839/155520
15: 152657/155520
16: 30187/31104
17: 74281/77760
18: 72727/77760
19: 70783/77760
20: 68449/77760
21: 26299/31104
22: 125441/155520
23: 118847/155520
24: 111833/155520
25: 17419/25920
26: 3233/5184
27: 89341/155520
28: 27209/51840
29: 24631/51840
30: 66179/155520
31: 1951/5184
32: 8501/25920
33: 43687/155520
34: 36673/155520
35: 30079/155520
36: 4805/31104
37: 9311/77760
38: 6977/77760
39: 5033/77760
40: 3479/77760
41: 917/31104
42: 2863/155520
43: 1681/155520
44: 919/155520
45: 77/25920
46: 7/5184
47: 7/12960
48: 7/38880
49: 7/155520
50: 1/155520

Dice: [4, 4, 4, 4, 8, 20]
6: 1/1
7: 40959/40960
8: 40953/40960
9: 10233/10240
10: 10219/10240
11: 20377/20480
12: 20263/20480
13: 10037/10240
14: 1979/2048
15: 4849/5120
16: 4721/5120
17: 9127/10240
18: 8757/10240
19: 16679/20480
20: 15769/20480
21: 7403/10240
22: 1381/2048
23: 25593/40960
24: 23551/40960
25: 21/40
26: 19/40
27: 17409/40960
28: 15367/40960
29: 667/2048
30: 2837/10240
31: 4711/20480
32: 3801/20480
33: 1483/10240
34: 1113/10240
35: 399/5120
36: 271/5120
37: 69/2048
38: 203/10240
39: 217/20480
40: 103/20480
41: 21/10240
42: 7/10240
43: 7/40960
44: 1/40960

Dice: [4, 4, 4, 6, 8, 20]
6: 1/1
7: 61439/61440
8: 61433/61440
9: 15353/15360
10: 5113/5120
11: 20411/20480
12: 20333/20480
13: 60601/61440
14: 59983/61440
15: 59093/61440
16: 19297/20480
17: 3757/4096
18: 10897/12288
19: 52303/61440
20: 49849/61440
21: 3145/4096
22: 14779/20480
23: 3449/5120
24: 9593/15360
25: 35321/61440
26: 6451/12288
27: 5837/12288
28: 26119/61440
29: 5767/15360
30: 1671/5120
31: 5701/20480
32: 951/4096
33: 11591/61440
34: 9137/61440
35: 1391/12288
36: 339/4096
37: 1183/20480
38: 2347/61440
39: 1457/61440
40: 839/61440
41: 147/20480
42: 69/20480
43: 7/5120
44: 7/15360
45: 7/61440
46: 1/61440

Dice: [4, 4, 6, 6, 8, 20]
6: 1/1
7: 92159/92160
8: 92153/92160
9: 23033/23040
10: 7673/7680
11: 5747/5760
12: 1433/1440
13: 45647/46080
14: 45313/46080
15: 89633/92160
16: 88247/92160
17: 5401/5760
18: 5257/5760
19: 16267/18432
20: 78113/92160
21: 37249/46080
22: 35279/46080
23: 1037/1440
24: 775/1152
25: 4793/7680
26: 13241/23040
27: 8063/15360
28: 7297/15360
29: 9799/23040
30: 2887/7680
31: 377/1152
32: 403/1440
33: 10801/46080
34: 8831/46080
35: 14047/92160
36: 2165/18432
37: 503/5760
38: 359/5760
39: 3913/92160
40: 2527/92160
41: 767/46080
42: 433/46080
43: 7/1440
44: 13/5760
45: 7/7680
46: 7/23040
47: 7/92160
48: 1/92160

Dice: [4, 6, 6, 6, 8, 20]
6: 1/1
7: 138239/138240
8: 138233/138240
9: 34553/34560
10: 11513/11520
11: 138031/138240
12: 27557/27648
13: 137347/138240
14: 15181/15360
15: 33883/34560
16: 3721/3840
17: 43937/46080
18: 129029/138240
19: 125573/138240
20: 40481/46080
21: 3241/3840
22: 5567/6912
23: 2345/3072
24: 99331/138240
25: 92857/138240
26: 86191/138240
27: 15881/27648
28: 4837/9216
29: 4379/9216
30: 11767/27648
31: 52049/138240
32: 45383/138240
33: 38909/138240
34: 727/3072
35: 1345/6912
36: 599/3840
37: 5599/46080
38: 12667/138240
39: 9211/138240
40: 2143/46080
41: 119/3840
42: 677/34560
43: 179/15360
44: 893/138240
45: 91/27648
46: 209/138240
47: 7/11520
48: 7/34560
49: 7/138240
50: 1/138240

Dice: [6, 6, 6, 6, 8, 20]
6: 1/1
7: 207359/207360
8: 207353/207360
9: 51833/51840
10: 17273/17280
11: 6905/6912
12: 34483/34560
13: 5161/5184
14: 25709/25920
15: 20447/20736
16: 11261/11520
17: 3337/3456
18: 49229/51840
19: 8029/8640
20: 7813/8640
21: 45341/51840
22: 2905/3456
23: 1849/2304
24: 78907/103680
25: 18581/25920
26: 17381/25920
27: 129139/207360
28: 119029/207360
29: 13601/25920
30: 12319/25920
31: 88331/207360
32: 78221/207360
33: 8539/25920
34: 7339/25920
35: 24773/103680
36: 455/2304
37: 551/3456
38: 6499/51840
39: 827/8640
40: 611/8640
41: 2611/51840
42: 119/3456
43: 259/11520
44: 289/20736
45: 211/25920
46: 23/5184
47: 77/34560
48: 7/6912
49: 7/17280
50: 7/51840
51: 7/207360
52: 1/207360

Dice: [4, 4, 4, 8, 8, 20]
6: 1/1
7: 81919/81920
8: 81913/81920
9: 20473/20480
10: 20459/20480
11: 81713/81920
12: 81479/81920
13: 2027/2048
14: 10057/10240
15: 39773/40960
16: 39147/40960
17: 4791/5120
18: 4663/5120
19: 7215/8192
20: 34653/40960
21: 1653/2048
22: 7831/10240
23: 58951/81920
24: 55089/81920
25: 12779/20480
26: 11769/20480
27: 21501/40960
28: 19459/40960
29: 8711/20480
30: 7701/20480
31: 26831/81920
32: 22969/81920
33: 2409/10240
34: 395/2048
35: 6307/40960
36: 977/8192
37: 457/5120
38: 329/5120
39: 1813/40960
40: 1187/40960
41: 183/10240
42: 21/2048
43: 441/81920
44: 207/81920
45: 21/20480
46: 7/20480
47: 7/81920
48: 1/81920

Dice: [4, 4, 6, 8, 8, 20]
6: 1/1
7: 122879/122880
8: 122873/122880
9: 30713/30720
10: 10233/10240
11: 7667/7680
12: 1913/1920
13: 40671/40960
14: 121339/122880
15: 60163/61440
16: 3963/4096
17: 29239/30720
18: 9539/10240
19: 9283/10240
20: 5387/6144
21: 3451/4096
22: 49411/61440
23: 93691/122880
24: 29407/40960
25: 1289/1920
26: 4787/7680
27: 70573/122880
28: 21497/40960
29: 19463/40960
30: 52307/122880
31: 2893/7680
32: 631/1920
33: 11553/40960
34: 29189/122880
35: 12029/61440
36: 645/4096
37: 757/6144
38: 957/10240
39: 701/10240
40: 1481/30720
41: 133/4096
42: 1277/61440
43: 1541/122880
44: 289/40960
45: 7/1920
46: 13/7680
47: 7/10240
48: 7/30720
49: 7/122880
50: 1/122880

Dice: [4, 6, 6, 8, 8, 20]
6: 1/1
7: 184319/184320
8: 184313/184320
9: 46073/46080
10: 15353/15360
11: 184111/184320
12: 36773/36864
13: 30571/30720
14: 91351/92160
15: 36317/36864
16: 179959/184320
17: 17771/18432
18: 29123/30720
19: 21371/23040
20: 4159/4608
21: 26819/30720
22: 15467/18432
23: 147703/184320
24: 140113/184320
25: 66007/92160
26: 20587/30720
27: 57373/92160
28: 52891/92160
29: 12089/23040
30: 10951/23040
31: 39269/92160
32: 34787/92160
33: 10133/30720
34: 26153/92160
35: 44207/184320
36: 36617/184320
37: 2965/18432
38: 3901/30720
39: 449/4608
40: 1669/23040
41: 1597/30720
42: 661/18432
43: 4361/184320
44: 547/36864
45: 809/92160
46: 149/30720
47: 91/36864
48: 209/184320
49: 7/15360
50: 7/46080
51: 7/184320
52: 1/184320

Dice: [6, 6, 6, 8, 8, 20]
6: 1/1
7: 276479/276480
8: 276473/276480
9: 69113/69120
10: 23033/23040
11: 9209/9216
12: 46003/46080
13: 91853/92160
14: 18319/18432
15: 273563/276480
16: 271741/276480
17: 134579/138240
18: 132829/138240
19: 17407/18432
20: 85133/92160
21: 82829/92160
22: 80123/92160
23: 115549/138240
24: 110387/138240
25: 209533/276480
26: 197531/276480
27: 18493/27648
28: 85943/138240
29: 79271/138240
30: 8057/15360
31: 7303/15360
32: 58969/138240
33: 52297/138240
34: 9155/27648
35: 78949/276480
36: 66947/276480
37: 27853/138240
38: 22691/138240
39: 12037/92160
40: 9331/92160
41: 7027/92160
42: 1025/18432
43: 5411/138240
44: 3661/138240
45: 4739/276480
46: 2917/276480
47: 113/18432
48: 307/92160
49: 77/46080
50: 7/9216
51: 7/23040
52: 7/69120
53: 7/276480
54: 1/276480

Dice: [4, 4, 8, 8, 8, 20]
6: 1/1
7: 163839/163840
8: 163833/163840
9: 40953/40960
10: 40939/40960
11: 10227/10240
12: 2553/2560
13: 40743/40960
14: 40573/40960
15: 161259/163840
16: 159773/163840
17: 19717/20480
18: 19383/20480
19: 9481/10240
20: 1845/2048
21: 17847/20480
22: 17157/20480
23: 131101/163840
24: 24879/32768
25: 29309/40960
26: 27431/40960
27: 101953/163840
28: 94007/163840
29: 2149/4096
30: 1947/4096
31: 69833/163840
32: 61887/163840
33: 13529/40960
34: 11651/40960
35: 7889/32768
36: 32739/163840
37: 3323/20480
38: 2633/20480
39: 203/2048
40: 759/10240
41: 1097/20480
42: 763/20480
43: 4067/163840
44: 2581/163840
45: 387/40960
46: 217/40960
47: 7/2560
48: 13/10240
49: 21/40960
50: 7/40960
51: 7/163840
52: 1/163840

Dice: [4, 6, 8, 8, 8, 20]
6: 1/1
7: 245759/245760
8: 245753/245760
9: 61433/61440
10: 20473/20480
11: 245551/245760
12: 49061/49152
13: 48973/49152
14: 48827/49152
15: 121499/122880
16: 120661/122880
17: 238969/245760
18: 235807/245760
19: 115861/122880
20: 22663/24576
21: 110243/122880
22: 21329/24576
23: 205087/245760
24: 195961/245760
25: 93013/122880
26: 87707/122880
27: 20533/30720
28: 6363/10240
29: 28177/49152
30: 128899/245760
31: 116861/245760
32: 20975/49152
33: 3877/10240
34: 10187/30720
35: 35173/122880
36: 29867/122880
37: 49799/245760
38: 40673/245760
39: 3247/24576
40: 12637/122880
41: 1913/24576
42: 7019/122880
43: 9953/245760
44: 6791/245760
45: 2219/122880
46: 1381/122880
47: 325/49152
48: 179/49152
49: 91/49152
50: 209/245760
51: 7/20480
52: 7/61440
53: 7/245760
54: 1/245760

Dice: [6, 6, 8, 8, 8, 20]
6: 1/1
7: 368639/368640
8: 368633/368640
9: 92153/92160
10: 30713/30720
11: 12281/12288
12: 61363/61440
13: 183859/184320
14: 183469/184320
15: 2857/2880
16: 22739/23040
17: 22571/23040
18: 1117/1152
19: 352553/368640
20: 346319/368640
21: 5291/5760
22: 5147/5760
23: 318671/368640
24: 306473/368640
25: 4577/5760
26: 17387/23040
27: 29161/40960
28: 16393/24576
29: 12707/20480
30: 21113/36864
31: 5369/10240
32: 4871/10240
33: 15751/36864
34: 7773/20480
35: 8183/24576
36: 11799/40960
37: 5653/23040
38: 1183/5760
39: 62167/368640
40: 49969/368640
41: 613/5760
42: 469/5760
43: 22321/368640
44: 16087/368640
45: 35/1152
46: 469/23040
47: 301/23040
48: 23/2880
49: 851/184320
50: 461/184320
51: 77/61440
52: 7/12288
53: 7/30720
54: 7/92160
55: 7/368640
56: 1/368640

Dice: [4, 8, 8, 8, 8, 20]
6: 1/1
7: 327679/327680
8: 327673/327680
9: 81913/81920
10: 81899/81920
11: 327471/327680
12: 65445/65536
13: 2553/2560
14: 10189/10240
15: 324891/327680
16: 64633/65536
17: 80177/81920
18: 79339/81920
19: 62591/65536
20: 307373/327680
21: 9391/10240
22: 1827/2048
23: 282797/327680
24: 54399/65536
25: 65003/81920
26: 12349/16384
27: 116527/163840
28: 109201/163840
29: 50799/81920
30: 46901/81920
31: 85893/163840
32: 77947/163840
33: 35019/81920
34: 31121/81920
35: 54639/163840
36: 47313/163840
37: 4035/16384
38: 16917/81920
39: 11137/65536
40: 44883/327680
41: 221/2048
42: 849/10240
43: 20307/327680
44: 2945/65536
45: 2581/81920
46: 1743/81920
47: 903/65536
48: 2789/327680
49: 51/10240
50: 7/2560
51: 91/65536
52: 209/327680
53: 21/81920
54: 7/81920
55: 7/327680
56: 1/327680

Dice: [6, 8, 8, 8, 8, 20]
6: 1/1
7: 491519/491520
8: 491513/491520
9: 122873/122880
10: 40953/40960
11: 16377/16384
12: 81843/81920
13: 490597/491520
14: 489811/491520
15: 488549/491520
16: 162209/163840
17: 80639/81920
18: 239971/245760
19: 989/1024
20: 9749/10240
21: 91891/98304
22: 149699/163840
23: 145603/163840
24: 422591/491520
25: 8469/10240
26: 4049/5120
27: 123117/163840
28: 348673/491520
29: 326911/491520
30: 304313/491520
31: 56225/98304
32: 257587/491520
33: 233933/491520
34: 42079/98304
35: 187207/491520
36: 164609/491520
37: 142847/491520
38: 40723/163840
39: 1071/5120
40: 1771/10240
41: 68929/491520
42: 18237/163840
43: 14141/163840
44: 6413/98304
45: 491/10240
46: 35/1024
47: 5789/245760
48: 1281/81920
49: 1631/163840
50: 2971/491520
51: 1709/491520
52: 923/491520
53: 77/81920
54: 7/16384
55: 7/40960
56: 7/122880
57: 7/491520
58: 1/491520

Dice: [8, 8, 8, 8, 8, 20]
6: 1/1
7: 655359/655360
8: 655353/655360
9: 163833/163840
10: 163819/163840
11: 65515/65536
12: 327449/327680
13: 163609/163840
14: 163411/163840
15: 326181/327680
16: 65039/65536
17: 161873/163840
18: 160851/163840
19: 318923/327680
20: 315269/327680
21: 31061/32768
22: 152419/163840
23: 74469/81920
24: 72421/81920
25: 140131/163840
26: 26965/32768
27: 515851/655360
28: 490397/655360
29: 57901/81920
30: 54323/81920
31: 10121/16384
32: 46787/81920
33: 42909/81920
34: 39011/81920
35: 35133/81920
36: 6263/16384
37: 27597/81920
38: 24019/81920
39: 164963/655360
40: 139509/655360
41: 5803/32768
42: 23709/163840
43: 9499/81920
44: 7451/81920
45: 11421/163840
46: 1707/32768
47: 12411/327680
48: 8757/327680
49: 2989/163840
50: 1967/163840
51: 497/65536
52: 1499/327680
53: 429/163840
54: 231/163840
55: 231/327680
56: 21/65536
57: 21/163840
58: 7/163840
59: 7/655360
60: 1/655360

Dice: [4, 4, 4, 4, 12, 20]
6: 1/1
7: 61439/61440
8: 61433/61440
9: 15353/15360
10: 5113/5120
11: 30617/30720
12: 30503/30720
13: 15157/15360
14: 1001/1024
15: 19757/20480
16: 58241/61440
17: 89/96
18: 433/480
19: 53633/61440
20: 17197/20480
21: 4109/5120
22: 11701/15360
23: 4411/6144
24: 20633/30720
25: 3193/5120
26: 1765/3072
27: 1075/2048
28: 973/2048
29: 1307/3072
30: 1927/5120
31: 10087/30720
32: 1733/6144
33: 3659/15360
34: 1011/5120
35: 3283/20480
36: 7807/61440
37: 47/480
38: 7/96
39: 3199/61440
40: 723/20480
41: 23/1024
42: 203/15360
43: 217/30720
44: 103/30720
45: 7/5120
46: 7/15360
47: 7/61440
48: 1/61440

Dice: [4, 4, 4, 6, 12, 20]
6: 1/1
7: 92159/92160
8: 92153/92160
9: 23033/23040
10: 7673/7680
11: 10217/10240
12: 10191/10240
13: 91321/92160
14: 90703/92160
15: 22453/23040
16: 22151/23040
17: 87047/92160
18: 85121/92160
19: 82817/92160
20: 16027/18432
21: 19271/23040
22: 18421/23040
23: 69967/92160
24: 65977/92160
25: 6863/10240
26: 6377/10240
27: 52909/92160
28: 16121/30720
29: 14599/30720
30: 39251/92160
31: 3863/10240
32: 3377/10240
33: 26183/92160
34: 22193/92160
35: 4619/23040
36: 3769/23040
37: 2405/18432
38: 9343/92160
39: 7039/92160
40: 5113/92160
41: 889/23040
42: 587/23040
43: 1457/92160
44: 839/92160
45: 49/10240
46: 23/10240
47: 7/7680
48: 7/23040
49: 7/92160
50: 1/92160

Dice: [4, 4, 6, 6, 12, 20]
6: 1/1
7: 138239/138240
8: 138233/138240
9: 34553/34560
10: 11513/11520
11: 8627/8640
12: 2153/2160
13: 68687/69120
14: 68353/69120
15: 4241/4320
16: 1679/1728
17: 11039/11520
18: 32527/34560
19: 15901/17280
20: 15469/17280
21: 5987/6912
22: 9599/11520
23: 6883/8640
24: 3269/4320
25: 9869/13824
26: 46223/69120
27: 28651/46080
28: 26429/46080
29: 1813/3456
30: 1643/3456
31: 19651/46080
32: 17429/46080
33: 22897/69120
34: 3955/13824
35: 1051/4320
36: 1757/8640
37: 1921/11520
38: 925/6912
39: 1811/17280
40: 1379/17280
41: 2033/34560
42: 481/11520
43: 49/1728
44: 79/4320
45: 767/69120
46: 433/69120
47: 7/2160
48: 13/8640
49: 7/11520
50: 7/34560
51: 7/138240
52: 1/138240

Dice: [4, 6, 6, 6, 12, 20]
6: 1/1
7: 207359/207360
8: 207353/207360
9: 51833/51840
10: 17273/17280
11: 207151/207360
12: 41381/41472
13: 206467/207360
14: 22861/23040
15: 22739/23040
16: 203069/207360
17: 200903/207360
18: 39613/41472
19: 38897/41472
20: 38023/41472
21: 184931/207360
22: 178933/207360
23: 34429/41472
24: 32923/41472
25: 156413/207360
26: 16403/23040
27: 69179/103680
28: 64357/103680
29: 23761/41472
30: 108739/207360
31: 98621/207360
32: 17711/41472
33: 39323/103680
34: 34501/103680
35: 6637/23040
36: 50947/207360
37: 8549/41472
38: 7043/41472
39: 28427/207360
40: 22429/207360
41: 3449/41472
42: 2575/41472
43: 1859/41472
44: 6457/207360
45: 4291/207360
46: 301/23040
47: 179/23040
48: 893/207360
49: 91/41472
50: 209/207360
51: 7/17280
52: 7/51840
53: 7/207360
54: 1/207360

Dice: [6, 6, 6, 6, 12, 20]
6: 1/1
7: 311039/311040
8: 311033/311040
9: 77753/77760
10: 25913/25920
11: 10361/10368
12: 51763/51840
13: 7753/7776
14: 38669/38880
15: 308149/311040
16: 306371/311040
17: 1187/1215
18: 9391/9720
19: 296167/311040
20: 290737/311040
21: 35519/38880
22: 34547/38880
23: 267409/311040
24: 257287/311040
25: 769/972
26: 7309/9720
27: 18403/25920
28: 51767/77760
29: 9637/15552
30: 44503/77760
31: 4529/8640
32: 4111/8640
33: 33257/77760
34: 5915/15552
35: 25993/77760
36: 7517/25920
37: 2411/9720
38: 203/972
39: 53753/311040
40: 43631/311040
41: 4333/38880
42: 3361/38880
43: 20303/311040
44: 14873/311040
45: 329/9720
46: 28/1215
47: 4669/311040
48: 2891/311040
49: 211/38880
50: 23/7776
51: 77/51840
52: 7/10368
53: 7/25920
54: 7/77760
55: 7/311040
56: 1/311040

Dice: [4, 4, 4, 8, 12, 20]
6: 1/1
7: 122879/122880
8: 122873/122880
9: 30713/30720
10: 10233/10240
11: 40891/40960
12: 40813/40960
13: 1017/1024
14: 5059/5120
15: 24101/24576
16: 39749/40960
17: 9799/10240
18: 28871/30720
19: 14113/15360
20: 13729/15360
21: 26567/30720
22: 8519/10240
23: 32581/40960
24: 92857/122880
25: 3651/5120
26: 3421/5120
27: 1909/3072
28: 8807/15360
29: 8057/15360
30: 7303/15360
31: 6553/15360
32: 1163/3072
33: 1699/5120
34: 1469/5120
35: 30023/122880
36: 8379/40960
37: 1721/10240
38: 4153/30720
39: 1631/15360
40: 1247/15360
41: 1849/30720
42: 441/10240
43: 1211/40960
44: 475/24576
45: 61/5120
46: 7/1024
47: 147/40960
48: 69/40960
49: 7/10240
50: 7/30720
51: 7/122880
52: 1/122880

Dice: [4, 4, 6, 8, 12, 20]
6: 1/1
7: 184319/184320
8: 184313/184320
9: 46073/46080
10: 15353/15360
11: 11507/11520
12: 2873/2880
13: 61151/61440
14: 182779/184320
15: 36353/36864
16: 180323/184320
17: 929/960
18: 1221/1280
19: 19181/20480
20: 168739/184320
21: 164131/184320
22: 3529/4096
23: 1061/1280
24: 761/960
25: 138851/184320
26: 131077/184320
27: 30719/46080
28: 5717/9216
29: 8797/15360
30: 24161/46080
31: 21919/46080
32: 6563/15360
33: 3499/9216
34: 15361/46080
35: 53243/184320
36: 45469/184320
37: 199/960
38: 219/1280
39: 567/4096
40: 20189/184320
41: 15581/184320
42: 1299/20480
43: 59/1280
44: 31/960
45: 3997/184320
46: 511/36864
47: 1541/184320
48: 289/61440
49: 7/2880
50: 13/11520
51: 7/15360
52: 7/46080
53: 7/184320
54: 1/184320

Dice: [4, 6, 6, 8, 12, 20]
6: 1/1
7: 276479/276480
8: 276473/276480
9: 69113/69120
10: 23033/23040
11: 276271/276480
12: 55205/55296
13: 45931/46080
14: 137431/138240
15: 1901/1920
16: 5669/5760
17: 134921/138240
18: 4941/5120
19: 2191/2304
20: 10753/11520
21: 15763/17280
22: 15331/17280
23: 9889/11520
24: 1903/2304
25: 809/1024
26: 103817/138240
27: 196081/276480
28: 36779/55296
29: 5707/9216
30: 2929/5120
31: 24151/46080
32: 21929/46080
33: 2191/5120
34: 3509/9216
35: 18517/55296
36: 80399/276480
37: 34423/138240
38: 215/1024
39: 401/2304
40: 1631/11520
41: 1949/17280
42: 1517/17280
43: 767/11520
44: 113/2304
45: 179/5120
46: 3319/138240
47: 91/5760
48: 19/1920
49: 809/138240
50: 149/46080
51: 91/55296
52: 209/276480
53: 7/23040
54: 7/69120
55: 7/276480
56: 1/276480

Dice: [6, 6, 6, 8, 12, 20]
6: 1/1
7: 414719/414720
8: 414713/414720
9: 103673/103680
10: 34553/34560
11: 13817/13824
12: 69043/69120
13: 137933/138240
14: 27535/27648
15: 205901/207360
16: 68329/69120
17: 13579/13824
18: 201907/207360
19: 12473/12960
20: 12287/12960
21: 192917/207360
22: 62833/69120
23: 12221/13824
24: 35473/41472
25: 10667/12960
26: 2041/2592
27: 103501/138240
28: 293329/414720
29: 137609/207360
30: 128183/207360
31: 8777/15360
32: 8047/15360
33: 7313/15360
34: 6583/15360
35: 79177/207360
36: 69751/207360
37: 121391/414720
38: 34739/138240
39: 551/2592
40: 2293/12960
41: 5999/41472
42: 1603/13824
43: 6287/69120
44: 14443/207360
45: 673/12960
46: 487/12960
47: 5453/207360
48: 245/13824
49: 791/69120
50: 1459/207360
51: 113/27648
52: 307/138240
53: 77/69120
54: 7/13824
55: 7/34560
56: 7/103680
57: 7/414720
58: 1/414720

Dice: [4, 4, 8, 8, 12, 20]
6: 1/1
7: 245759/245760
8: 245753/245760
9: 61433/61440
10: 20473/20480
11: 15347/15360
12: 3833/3840
13: 61223/61440
14: 20351/20480
15: 121589/122880
16: 40281/40960
17: 19969/20480
18: 11845/12288
19: 77803/81920
20: 229079/245760
21: 13991/15360
22: 13607/15360
23: 210647/245760
24: 67563/81920
25: 48473/61440
26: 15361/20480
27: 174103/245760
28: 163313/245760
29: 1901/3072
30: 8783/15360
31: 2683/5120
32: 2437/5120
33: 6577/15360
34: 1171/3072
35: 82447/245760
36: 71657/245760
37: 5119/20480
38: 12967/61440
39: 14357/81920
40: 35113/245760
41: 1753/15360
42: 1369/15360
43: 16681/245760
44: 4117/81920
45: 443/12288
46: 511/20480
47: 679/40960
48: 1291/122880
49: 129/20480
50: 217/61440
51: 7/3840
52: 13/15360
53: 7/20480
54: 7/61440
55: 7/245760
56: 1/245760

Dice: [4, 6, 8, 8, 12, 20]
6: 1/1
7: 368639/368640
8: 368633/368640
9: 92153/92160
10: 30713/30720
11: 368431/368640
12: 73637/73728
13: 73549/73728
14: 73403/73728
15: 40653/40960
16: 72839/73728
17: 120607/122880
18: 358603/368640
19: 177197/184320
20: 58177/61440
21: 342499/368640
22: 37181/40960
23: 36157/40960
24: 314851/368640
25: 50497/61440
26: 144941/184320
27: 13783/18432
28: 65113/92160
29: 48883/73728
30: 75907/122880
31: 8773/15360
32: 24137/46080
33: 21943/46080
34: 6587/15360
35: 46973/122880
36: 24845/73728
37: 27047/92160
38: 4649/18432
39: 39379/184320
40: 10943/61440
41: 53789/368640
42: 4803/40960
43: 3779/40960
44: 26141/368640
45: 3263/61440
46: 7123/184320
47: 10037/368640
48: 2273/122880
49: 889/73728
50: 307/40960
51: 325/73728
52: 179/73728
53: 91/73728
54: 209/368640
55: 7/30720
56: 7/92160
57: 7/368640
58: 1/368640

Dice: [6, 6, 8, 8, 12, 20]
6: 1/1
7: 552959/552960
8: 552953/552960
9: 138233/138240
10: 46073/46080
11: 18425/18432
12: 92083/92160
13: 276019/276480
14: 275629/276480
15: 110003/110592
16: 548137/552960
17: 136357/138240
18: 135419/138240
19: 22361/23040
20: 22091/23040
21: 52205/55296
22: 51211/55296
23: 579/640
24: 563/640
25: 235319/276480
26: 45293/55296
27: 433417/552960
28: 82451/110592
29: 3247/4608
30: 9145/13824
31: 340987/552960
32: 315469/552960
33: 24127/46080
34: 21953/46080
35: 237491/552960
36: 211973/552960
37: 4679/13824
38: 1361/4608
39: 28141/110592
40: 119543/552960
41: 10003/55296
42: 41161/276480
43: 77/640
44: 61/640
45: 4085/55296
46: 3091/55296
47: 949/23040
48: 679/23040
49: 2821/138240
50: 1883/138240
51: 4823/552960
52: 589/110592
53: 851/276480
54: 461/276480
55: 77/92160
56: 7/18432
57: 7/46080
58: 7/138240
59: 7/552960
60: 1/552960

Dice: [4, 8, 8, 8, 12, 20]
6: 1/1
7: 491519/491520
8: 491513/491520
9: 122873/122880
10: 40953/40960
11: 491311/491520
12: 98213/98304
13: 3833/3840
14: 5103/5120
15: 16291/16384
16: 243499/245760
17: 12113/12288
18: 60139/61440
19: 476587/491520
20: 94153/98304
21: 115871/122880
22: 113653/122880
23: 55507/61440
24: 53971/61440
25: 104437/122880
26: 100511/122880
27: 12825/16384
28: 183001/245760
29: 28831/40960
30: 16243/24576
31: 302887/491520
32: 280289/491520
33: 8041/15360
34: 7319/15360
35: 211231/491520
36: 188633/491520
37: 8333/24576
38: 12129/40960
39: 62759/245760
40: 3559/16384
41: 22369/122880
42: 18443/122880
43: 7469/61440
44: 5933/61440
45: 9227/122880
46: 7009/122880
47: 4151/98304
48: 14933/491520
49: 1301/61440
50: 175/12288
51: 2261/245760
52: 93/16384
53: 17/5120
54: 7/3840
55: 91/98304
56: 209/491520
57: 7/40960
58: 7/122880
59: 7/491520
60: 1/491520

Dice: [6, 8, 8, 8, 12, 20]
6: 1/1
7: 737279/737280
8: 737273/737280
9: 184313/184320
10: 61433/61440
11: 24569/24576
12: 122803/122880
13: 736357/737280
14: 735571/737280
15: 183577/184320
16: 36619/36864
17: 364783/368640
18: 362809/368640
19: 720271/737280
20: 713257/737280
21: 2201/2304
22: 43327/46080
23: 679807/737280
24: 663913/737280
25: 645481/737280
26: 624511/737280
27: 601073/737280
28: 575303/737280
29: 547397/737280
30: 517603/737280
31: 121553/184320
32: 113387/184320
33: 419959/737280
34: 128603/245760
35: 117157/245760
36: 317321/737280
37: 70933/184320
38: 62767/184320
39: 219677/737280
40: 189883/737280
41: 161977/737280
42: 136207/737280
43: 112769/737280
44: 91799/737280
45: 73367/737280
46: 57473/737280
47: 2753/46080
48: 103/2304
49: 24023/737280
50: 17009/737280
51: 5831/368640
52: 3857/368640
53: 245/36864
54: 743/184320
55: 1709/737280
56: 923/737280
57: 77/122880
58: 7/24576
59: 7/61440
60: 7/184320
61: 7/737280
62: 1/737280

Dice: [8, 8, 8, 8, 12, 20]
6: 1/1
7: 983039/983040
8: 983033/983040
9: 245753/245760
10: 81913/81920
11: 32761/32768
12: 163763/163840
13: 81843/81920
14: 81777/81920
15: 980041/983040
16: 326021/327680
17: 40631/40960
18: 24275/24576
19: 965317/983040
20: 957763/983040
21: 237001/245760
22: 77977/81920
23: 306881/327680
24: 902533/983040
25: 18359/20480
26: 17847/20480
27: 414403/491520
28: 79777/98304
29: 19093/24576
30: 90863/122880
31: 687637/983040
32: 646291/983040
33: 150821/245760
34: 46589/81920
35: 257059/491520
36: 234461/491520
37: 35331/81920
38: 94939/245760
39: 336749/983040
40: 295403/983040
41: 32017/122880
42: 5483/24576
43: 18527/98304
44: 77117/491520
45: 2633/20480
46: 2121/20480
47: 80507/983040
48: 20799/327680
49: 3943/81920
50: 8759/245760
51: 25277/983040
52: 17723/983040
53: 301/24576
54: 329/40960
55: 1659/327680
56: 2999/983040
57: 143/81920
58: 77/81920
59: 77/163840
60: 7/32768
61: 7/81920
62: 7/245760
63: 7/983040
64: 1/983040

Dice: [4, 4, 4, 12, 12, 20]
6: 1/1
7: 184319/184320
8: 184313/184320
9: 46073/46080
10: 15353/15360
11: 20457/20480
12: 20431/20480
13: 1529/1536
14: 7619/7680
15: 2527/2560
16: 4517/4608
17: 4475/4608
18: 4421/4608
19: 29023/30720
20: 9491/10240
21: 1159/1280
22: 1127/1280
23: 8723/10240
24: 25183/30720
25: 18073/23040
26: 17191/23040
27: 43331/61440
28: 122047/184320
29: 28441/46080
30: 2923/5120
31: 5363/10240
32: 4877/10240
33: 2197/5120
34: 17639/46080
35: 62273/184320
36: 18109/61440
37: 5849/23040
38: 4967/23040
39: 5537/30720
40: 1517/10240
41: 153/1280
42: 121/1280
43: 749/10240
44: 1697/30720
45: 187/4608
46: 133/4608
47: 91/4608
48: 33/2560
49: 61/7680
50: 7/1536
51: 49/20480
52: 23/20480
53: 7/15360
54: 7/46080
55: 7/184320
56: 1/184320

Dice: [4, 4, 6, 12, 12, 20]
6: 1/1
7: 276479/276480
8: 276473/276480
9: 69113/69120
10: 23033/23040
11: 17267/17280
12: 4313/4320
13: 91871/92160
14: 274939/276480
15: 7609/7680
16: 68119/69120
17: 13525/13824
18: 4465/4608
19: 14699/15360
20: 130229/138240
21: 63863/69120
22: 62377/69120
23: 60649/69120
24: 58679/69120
25: 112949/138240
26: 12011/15360
27: 205693/276480
28: 12965/18432
29: 22831/34560
30: 7097/11520
31: 157643/276480
32: 144733/276480
33: 131747/276480
34: 118837/276480
35: 4423/11520
36: 11729/34560
37: 5467/18432
38: 70787/276480
39: 3349/15360
40: 25291/138240
41: 10441/69120
42: 8471/69120
43: 6743/69120
44: 5257/69120
45: 8011/138240
46: 661/15360
47: 143/4608
48: 299/13824
49: 1001/69120
50: 71/7680
51: 1541/276480
52: 289/92160
53: 7/4320
54: 13/17280
55: 7/23040
56: 7/69120
57: 7/276480
58: 1/276480

Dice: [4, 6, 6, 12, 12, 20]
6: 1/1
7: 414719/414720
8: 414713/414720
9: 103673/103680
10: 34553/34560
11: 414511/414720
12: 82853/82944
13: 68971/69120
14: 206551/207360
15: 411983/414720
16: 82069/82944
17: 68009/69120
18: 13499/13824
19: 50119/51840
20: 49483/51840
21: 194791/207360
22: 63667/69120
23: 46631/51840
24: 9067/10368
25: 58483/69120
26: 168871/207360
27: 35921/46080
28: 34183/46080
29: 29095/41472
30: 45559/69120
31: 127517/207360
32: 118091/207360
33: 54251/103680
34: 49429/103680
35: 89269/207360
36: 79843/207360
37: 23561/69120
38: 12377/41472
39: 11897/46080
40: 10159/46080
41: 38489/207360
42: 10637/69120
43: 1301/10368
44: 5209/51840
45: 5453/69120
46: 12569/207360
47: 2357/51840
48: 1721/51840
49: 325/13824
50: 1111/69120
51: 875/82944
52: 2737/414720
53: 809/207360
54: 149/69120
55: 91/82944
56: 209/414720
57: 7/34560
58: 7/103680
59: 7/414720
60: 1/414720

Dice: [6, 6, 6, 12, 12, 20]
6: 1/1
7: 622079/622080
8: 622073/622080
9: 155513/155520
10: 51833/51840
11: 20729/20736
12: 103603/103680
13: 207053/207360
14: 41359/41472
15: 206387/207360
16: 617327/622080
17: 307351/311040
18: 61109/62208
19: 606287/622080
20: 600089/622080
21: 592301/622080
22: 194249/207360
23: 190427/207360
24: 185933/207360
25: 180749/207360
26: 34975/41472
27: 126247/155520
28: 13429/17280
29: 153383/207360
30: 435299/622080
31: 102281/155520
32: 95471/155520
33: 44233/77760
34: 4519/8640
35: 4121/8640
36: 33527/77760
37: 60049/155520
38: 53239/155520
39: 186781/622080
40: 53977/207360
41: 3851/17280
42: 29273/155520
43: 6497/41472
44: 26611/207360
45: 21427/207360
46: 16933/207360
47: 13111/207360
48: 29779/622080
49: 21991/622080
50: 15793/622080
51: 1099/62208
52: 3689/311040
53: 4753/622080
54: 973/207360
55: 113/41472
56: 307/207360
57: 77/103680
58: 7/20736
59: 7/51840
60: 7/155520
61: 7/622080
62: 1/622080

Dice: [4, 4, 8, 12, 12, 20]
6: 1/1
7: 368639/368640
8: 368633/368640
9: 92153/92160
10: 30713/30720
11: 23027/23040
12: 5753/5760
13: 91943/92160
14: 10197/10240
15: 40673/40960
16: 364559/368640
17: 4531/4608
18: 22481/23040
19: 59347/61440
20: 175759/184320
21: 43237/46080
22: 42391/46080
23: 6899/7680
24: 6707/7680
25: 7787/9216
26: 37477/46080
27: 95669/122880
28: 54629/73728
29: 21529/30720
30: 60689/92160
31: 75509/122880
32: 209833/368640
33: 24107/46080
34: 21973/46080
35: 158807/368640
36: 47371/122880
37: 31471/92160
38: 9191/30720
39: 19099/73728
40: 27211/122880
41: 8603/46080
42: 1429/9216
43: 973/7680
44: 781/7680
45: 3689/46080
46: 2843/46080
47: 8561/184320
48: 2093/61440
49: 559/23040
50: 77/4608
51: 4081/368640
52: 287/40960
53: 43/10240
54: 217/92160
55: 7/5760
56: 13/23040
57: 7/30720
58: 7/92160
59: 7/368640
60: 1/368640

Dice: [4, 6, 8, 12, 12, 20]
6: 1/1
7: 552959/552960
8: 552953/552960
9: 138233/138240
10: 46073/46080
11: 552751/552960
12: 110501/110592
13: 110413/110592
14: 110267/110592
15: 137549/138240
16: 45709/46080
17: 546113/552960
18: 542839/552960
19: 29917/30720
20: 266467/276480
21: 4109/4320
22: 16169/17280
23: 253589/276480
24: 82529/92160
25: 16045/18432
26: 232853/276480
27: 448289/552960
28: 429191/552960
29: 22697/30720
30: 64421/92160
31: 15139/23040
32: 42401/69120
33: 62879/110592
34: 57833/110592
35: 52759/110592
36: 47713/110592
37: 26719/69120
38: 7901/23040
39: 27739/92160
40: 8023/30720
41: 123769/552960
42: 104671/552960
43: 43627/276480
44: 2387/18432
45: 9631/92160
46: 22891/276480
47: 1111/17280
48: 211/4320
49: 10013/276480
50: 803/30720
51: 10121/552960
52: 6847/552960
53: 371/46080
54: 691/138240
55: 325/110592
56: 179/110592
57: 91/110592
58: 209/552960
59: 7/46080
60: 7/138240
61: 7/552960
62: 1/552960

Dice: [6, 6, 8, 12, 12, 20]
6: 1/1
7: 829439/829440
8: 829433/829440
9: 207353/207360
10: 69113/69120
11: 27641/27648
12: 138163/138240
13: 414259/414720
14: 413869/414720
15: 137749/138240
16: 27487/27648
17: 761/768
18: 102259/103680
19: 162587/165888
20: 806209/829440
21: 199409/207360
22: 65581/69120
23: 1075/1152
24: 15803/17280
25: 1157/1296
26: 5623/6480
27: 696337/829440
28: 670327/829440
29: 80231/103680
30: 76387/103680
31: 578323/829440
32: 543829/829440
33: 84659/138240
34: 47107/82944
35: 36131/69120
36: 32989/69120
37: 35837/82944
38: 53581/138240
39: 285611/829440
40: 251117/829440
41: 27293/103680
42: 23449/103680
43: 159113/829440
44: 133103/829440
45: 857/6480
46: 139/1296
47: 1477/17280
48: 77/1152
49: 3539/69120
50: 7951/207360
51: 23231/829440
52: 3301/165888
53: 1421/103680
54: 7/768
55: 161/27648
56: 491/138240
57: 851/414720
58: 461/414720
59: 77/138240
60: 7/27648
61: 7/69120
62: 7/207360
63: 7/829440
64: 1/829440

Dice: [4, 8, 8, 12, 12, 20]
6: 1/1
7: 737279/737280
8: 737273/737280
9: 184313/184320
10: 61433/61440
11: 737071/737280
12: 147365/147456
13: 5753/5760
14: 7663/7680
15: 734489/737280
16: 732751/737280
17: 182563/184320
18: 181697/184320
19: 240713/245760
20: 716077/737280
21: 88547/92160
22: 87353/92160
23: 114539/122880
24: 336727/368640
25: 20543/23040
26: 19967/23040
27: 206053/245760
28: 595081/737280
29: 142457/184320
30: 135643/184320
31: 85589/122880
32: 241489/368640
33: 112801/184320
34: 20927/36864
35: 192667/368640
36: 175973/368640
37: 15937/36864
38: 71519/184320
39: 127151/368640
40: 37291/122880
41: 48677/184320
42: 41863/184320
43: 142199/737280
44: 39707/245760
45: 3073/23040
46: 2497/23040
47: 31913/368640
48: 8341/122880
49: 4807/92160
50: 3613/92160
51: 21203/737280
52: 5047/245760
53: 2623/184320
54: 1757/184320
55: 4529/737280
56: 2791/737280
57: 17/7680
58: 7/5760
59: 91/147456
60: 209/737280
61: 7/61440
62: 7/184320
63: 7/737280
64: 1/737280

Dice: [6, 8, 8, 12, 12, 20]
6: 1/1
7: 1105919/1105920
8: 1105913/1105920
9: 276473/276480
10: 92153/92160
11: 36857/36864
12: 184243/184320
13: 1104997/1105920
14: 1104211/1105920
15: 367649/368640
16: 1101013/1105920
17: 549089/552960
18: 547087/552960
19: 544351/552960
20: 540721/552960
21: 71471/73728
22: 1060247/1105920
23: 261421/276480
24: 257027/276480
25: 503651/552960
26: 491557/552960
27: 106163/122880
28: 184873/221184
29: 37079/46080
30: 106529/138240
31: 162325/221184
32: 256133/368640
33: 722941/1105920
34: 675691/1105920
35: 627131/1105920
36: 21399/40960
37: 19561/40960
38: 478789/1105920
39: 430229/1105920
40: 382979/1105920
41: 112507/368640
42: 58859/221184
43: 31711/138240
44: 9001/46080
45: 36311/221184
46: 16717/122880
47: 61403/552960
48: 49309/552960
49: 19453/276480
50: 15059/276480
51: 45673/1105920
52: 2257/73728
53: 12239/552960
54: 8609/552960
55: 5873/552960
56: 3871/552960
57: 4907/1105920
58: 991/368640
59: 1709/1105920
60: 923/1105920
61: 77/184320
62: 7/36864
63: 7/92160
64: 7/276480
65: 7/1105920
66: 1/1105920

Dice: [8, 8, 8, 12, 12, 20]
6: 1/1
7: 1474559/1474560
8: 1474553/1474560
9: 368633/368640
10: 122873/122880
11: 49145/49152
12: 245683/245760
13: 122803/122880
14: 122737/122880
15: 12263/12288
16: 183697/184320
17: 366659/368640
18: 365609/368640
19: 364157/368640
20: 362207/368640
21: 359657/368640
22: 118801/122880
23: 156597/163840
24: 463177/491520
25: 170719/184320
26: 167221/184320
27: 435131/491520
28: 84569/98304
29: 34089/40960
30: 295379/368640
31: 377231/491520
32: 359353/491520
33: 14181/20480
34: 120139/184320
35: 224717/368640
36: 69577/122880
37: 32081/61440
38: 29359/61440
39: 53303/122880
40: 143923/368640
41: 64181/184320
42: 6299/20480
43: 132167/491520
44: 114289/491520
45: 73261/368640
46: 6871/40960
47: 13735/98304
48: 56389/491520
49: 17099/184320
50: 13601/184320
51: 28343/491520
52: 7243/163840
53: 4079/122880
54: 8983/368640
55: 6433/368640
56: 4483/368640
57: 3031/368640
58: 1981/368640
59: 623/184320
60: 25/12288
61: 143/122880
62: 77/122880
63: 77/245760
64: 7/49152
65: 7/122880
66: 7/368640
67: 7/1474560
68: 1/1474560

Dice: [4, 4, 12, 12, 12, 20]
6: 1/1
7: 552959/552960
8: 552953/552960
9: 138233/138240
10: 46073/46080
11: 34547/34560
12: 8633/8640
13: 138023/138240
14: 15317/15360
15: 68797/69120
16: 68609/69120
17: 136693/138240
18: 135983/138240
19: 36013/36864
20: 535397/552960
21: 16543/17280
22: 2039/2160
23: 21379/23040
24: 62827/69120
25: 6131/6912
26: 29791/34560
27: 30743/36864
28: 443983/552960
29: 35437/46080
30: 101261/138240
31: 127847/184320
32: 360931/552960
33: 703/1152
34: 9791/17280
35: 1805/3456
36: 1651/3456
37: 7489/17280
38: 449/1152
39: 192029/552960
40: 56473/184320
41: 36979/138240
42: 10643/46080
43: 108977/552960
44: 6121/36864
45: 4769/34560
46: 781/6912
47: 6293/69120
48: 1661/23040
49: 121/2160
50: 737/17280
51: 17563/552960
52: 851/36864
53: 2257/138240
54: 1547/138240
55: 511/69120
56: 323/69120
57: 43/15360
58: 217/138240
59: 7/8640
60: 13/34560
61: 7/46080
62: 7/138240
63: 7/552960
64: 1/552960

Dice: [4, 6, 12, 12, 12, 20]
6: 1/1
7: 829439/829440
8: 829433/829440
9: 207353/207360
10: 69113/69120
11: 829231/829440
12: 165797/165888
13: 165709/165888
14: 165563/165888
15: 165335/165888
16: 824981/829440
17: 164513/165888
18: 163847/165888
19: 407389/414720
20: 404483/414720
21: 160313/165888
22: 792347/829440
23: 390551/414720
24: 76765/82944
25: 75185/82944
26: 366803/414720
27: 712871/829440
28: 229883/276480
29: 331999/414720
30: 318017/414720
31: 151483/207360
32: 47827/69120
33: 540293/829440
34: 505363/829440
35: 9781/17280
36: 5413/10368
37: 4955/10368
38: 7499/17280
39: 324077/829440
40: 289147/829440
41: 21293/69120
42: 55877/207360
43: 96703/414720
44: 82721/414720
45: 46597/276480
46: 116569/829440
47: 47917/414720
48: 7759/82944
49: 6179/82944
50: 24169/414720
51: 37093/829440
52: 5575/165888
53: 10237/414720
54: 7331/414720
55: 2041/165888
56: 1375/165888
57: 4459/829440
58: 553/165888
59: 325/165888
60: 179/165888
61: 91/165888
62: 209/829440
63: 7/69120
64: 7/207360
65: 7/829440
66: 1/829440

Dice: [6, 6, 12, 12, 12, 20]
6: 1/1
7: 1244159/1244160
8: 1244153/1244160
9: 311033/311040
10: 103673/103680
11: 41465/41472
12: 207283/207360
13: 621619/622080
14: 621229/622080
15: 1241213/1244160
16: 1239323/1244160
17: 309143/311040
18: 308177/311040
19: 613723/622080
20: 610237/622080
21: 605731/622080
22: 600037/622080
23: 1185983/1244160
24: 1168889/1244160
25: 574267/622080
26: 562357/622080
27: 121921/138240
28: 355397/414720
29: 34381/41472
30: 496549/622080
31: 951371/1244160
32: 906509/1244160
33: 23857/34560
34: 7489/11520
35: 252287/414720
36: 46901/82944
37: 5411/10368
38: 4957/10368
39: 36043/82944
40: 162433/414720
41: 4031/11520
42: 10703/34560
43: 337651/1244160
44: 292789/1244160
45: 125531/622080
46: 7091/41472
47: 59323/414720
48: 16319/138240
49: 59723/622080
50: 47813/622080
51: 75271/1244160
52: 58177/1244160
53: 22043/622080
54: 16349/622080
55: 11843/622080
56: 8357/622080
57: 2863/311040
58: 1897/311040
59: 4837/1244160
60: 2947/1244160
61: 851/622080
62: 461/622080
63: 77/207360
64: 7/41472
65: 7/103680
66: 7/311040
67: 7/1244160
68: 1/1244160

Dice: [4, 8, 12, 12, 12, 20]
6: 1/1
7: 1105919/1105920
8: 1105913/1105920
9: 276473/276480
10: 92153/92160
11: 1105711/1105920
12: 221093/221184
13: 8633/8640
14: 11503/11520
15: 137891/138240
16: 5099/5120
17: 7631/7680
18: 68459/69120
19: 1090571/1105920
20: 361423/368640
21: 29893/30720
22: 266479/276480
23: 351097/368640
24: 1038013/1105920
25: 21247/23040
26: 1387/1536
27: 36083/40960
28: 315533/368640
29: 228931/276480
30: 14695/18432
31: 46927/61440
32: 402457/552960
33: 63557/92160
34: 59863/92160
35: 672341/1105920
36: 625091/1105920
37: 9017/17280
38: 8263/17280
39: 480829/1105920
40: 433579/1105920
41: 32297/92160
42: 28603/92160
43: 150503/552960
44: 14513/61440
45: 3737/18432
46: 47549/276480
47: 53107/368640
48: 4877/40960
49: 149/1536
50: 1793/23040
51: 67907/1105920
52: 17543/368640
53: 10001/276480
54: 827/30720
55: 7217/368640
56: 15349/1105920
57: 661/69120
58: 49/7680
59: 21/5120
60: 349/138240
61: 17/11520
62: 7/8640
63: 91/221184
64: 209/1105920
65: 7/92160
66: 7/276480
67: 7/1105920
68: 1/1105920

Dice: [6, 8, 12, 12, 12, 20]
6: 1/1
7: 1658879/1658880
8: 1658873/1658880
9: 414713/414720
10: 138233/138240
11: 55289/55296
12: 276403/276480
13: 1657957/1658880
14: 1657171/1658880
15: 827953/829440
16: 30629/30720
17: 55037/55296
18: 164705/165888
19: 547151/552960
20: 544649/552960
21: 162413/165888
22: 268597/276480
23: 4433/4608
24: 197077/207360
25: 103561/110592
26: 508651/552960
27: 165997/184320
28: 1457299/1658880
29: 176981/207360
30: 34241/41472
31: 439601/552960
32: 46799/61440
33: 1204291/1658880
34: 1141397/1658880
35: 53771/82944
36: 251741/414720
37: 104077/184320
38: 173063/331776
39: 158713/331776
40: 80243/184320
41: 162979/414720
42: 29173/82944
43: 517483/1658880
44: 454589/1658880
45: 14641/61440
46: 113359/552960
47: 7231/41472
48: 30379/207360
49: 201581/1658880
50: 18323/184320
51: 44309/552960
52: 7031/110592
53: 10283/207360
54: 175/4608
55: 7883/276480
56: 3475/165888
57: 8311/552960
58: 5809/552960
59: 1183/165888
60: 259/55296
61: 91/30720
62: 1487/829440
63: 1709/1658880
64: 923/1658880
65: 77/276480
66: 7/55296
67: 7/138240
68: 7/414720
69: 7/1658880
70: 1/1658880

Dice: [8, 8, 12, 12, 12, 20]
6: 1/1
7: 2211839/2211840
8: 2211833/2211840
9: 552953/552960
10: 184313/184320
11: 73721/73728
12: 368563/368640
13: 184243/184320
14: 184177/184320
15: 2208839/2211840
16: 2206849/2211840
17: 137743/138240
18: 137477/138240
19: 731233/737280
20: 728551/737280
21: 20139/20480
22: 12007/12288
23: 1071931/1105920
24: 1061141/1105920
25: 174667/184320
26: 516139/552960
27: 168961/184320
28: 496153/552960
29: 96779/110592
30: 31339/36864
31: 202103/245760
32: 1751513/2211840
33: 209801/276480
34: 22223/30720
35: 1517027/2211840
36: 286001/442368
37: 334943/552960
38: 311797/552960
39: 4271/8192
40: 3921/8192
41: 241163/552960
42: 218017/552960
43: 156367/442368
44: 694813/2211840
45: 8497/30720
46: 66679/276480
47: 460327/2211840
48: 43657/245760
49: 5525/36864
50: 13813/110592
51: 56807/552960
52: 15359/184320
53: 36821/552960
54: 9653/184320
55: 44779/1105920
56: 33989/1105920
57: 281/12288
58: 341/20480
59: 8729/737280
60: 6047/737280
61: 763/138240
62: 497/138240
63: 4991/2211840
64: 3001/2211840
65: 143/184320
66: 77/184320
67: 77/368640
68: 7/73728
69: 7/184320
70: 7/552960
71: 7/2211840
72: 1/2211840

Dice: [4, 12, 12, 12, 12, 20]
6: 1/1
7: 1658879/1658880
8: 1658873/1658880
9: 414713/414720
10: 138233/138240
11: 1658671/1658880
12: 331685/331776
13: 12953/12960
14: 17263/17280
15: 552029/552960
16: 1654337/1658880
17: 412949/414720
18: 82411/82944
19: 1643323/1658880
20: 1636781/1658880
21: 20353/20736
22: 101083/103680
23: 1603667/1658880
24: 317377/331776
25: 391657/414720
26: 385643/414720
27: 126203/138240
28: 370499/414720
29: 24085/27648
30: 350921/414720
31: 226297/276480
32: 130753/165888
33: 313291/414720
34: 298753/414720
35: 566743/829440
36: 59393/92160
37: 250583/414720
38: 8647/15360
39: 86437/165888
40: 79451/165888
41: 6713/15360
42: 164137/414720
43: 32767/92160
44: 262697/829440
45: 115967/414720
46: 101429/414720
47: 35135/165888
48: 50183/276480
49: 63799/414720
50: 3563/27648
51: 44221/414720
52: 12037/138240
53: 29077/414720
54: 23063/414720
55: 14399/331776
56: 55213/1658880
57: 2597/103680
58: 383/20736
59: 22099/1658880
60: 15557/1658880
61: 533/82944
62: 1771/414720
63: 4543/1658880
64: 931/552960
65: 17/17280
66: 7/12960
67: 91/331776
68: 209/1658880
69: 7/138240
70: 7/414720
71: 7/1658880
72: 1/1658880

Dice: [6, 12, 12, 12, 12, 20]
6: 1/1
7: 2488319/2488320
8: 2488313/2488320
9: 622073/622080
10: 207353/207360
11: 82937/82944
12: 414643/414720
13: 2487397/2488320
14: 2486611/2488320
15: 497069/497664
16: 2483399/2488320
17: 1240261/1244160
18: 1238203/1244160
19: 617671/622080
20: 615733/622080
21: 490535/497664
22: 2439397/2488320
23: 484511/497664
24: 2401597/2488320
25: 118799/124416
26: 586297/622080
27: 2308751/2488320
28: 453253/497664
29: 2217413/2488320
30: 2161987/2488320
31: 419981/497664
32: 2031223/2488320
33: 217349/276480
34: 625001/829440
35: 66233/92160
36: 1696613/2488320
37: 1600691/2488320
38: 1501349/2488320
39: 466499/829440
40: 432037/829440
41: 397403/829440
42: 362941/829440
43: 986971/2488320
44: 887629/2488320
45: 791707/2488320
46: 25927/92160
47: 204439/829440
48: 59131/276480
49: 457097/2488320
50: 77683/497664
51: 326333/2488320
52: 270907/2488320
53: 44411/497664
54: 179569/2488320
55: 35783/622080
56: 5617/124416
57: 86723/2488320
58: 13153/497664
59: 48923/2488320
60: 7129/497664
61: 6347/622080
62: 4409/622080
63: 5957/1244160
64: 3899/1244160
65: 4921/2488320
66: 595/497664
67: 1709/2488320
68: 923/2488320
69: 77/414720
70: 7/82944
71: 7/207360
72: 7/622080
73: 7/2488320
74: 1/2488320

Dice: [8, 12, 12, 12, 12, 20]
6: 1/1
7: 3317759/3317760
8: 3317753/3317760
9: 829433/829440
10: 276473/276480
11: 110585/110592
12: 552883/552960
13: 276403/276480
14: 276337/276480
15: 1657379/1658880
16: 552127/552960
17: 55163/55296
18: 826367/829440
19: 329941/331776
20: 1645559/1658880
21: 820009/829440
22: 272129/276480
23: 108233/110592
24: 1611833/1658880
25: 266239/276480
26: 17555/18432
27: 3118103/3317760
28: 3068881/3317760
29: 188233/207360
30: 184141/207360
31: 478703/552960
32: 464921/552960
33: 337283/414720
34: 12031/15360
35: 622817/829440
36: 594151/829440
37: 93979/138240
38: 266111/414720
39: 6937/11520
40: 58237/103680
41: 215917/414720
42: 198803/414720
43: 45443/103680
44: 4583/11520
45: 148609/414720
46: 44261/138240
47: 235289/829440
48: 206623/829440
49: 3329/15360
50: 77437/414720
51: 88039/552960
52: 74257/552960
53: 23219/207360
54: 19127/207360
55: 248879/3317760
56: 199657/3317760
57: 877/18432
58: 10241/276480
59: 47047/1658880
60: 2359/110592
61: 4351/276480
62: 9431/829440
63: 13321/1658880
64: 1835/331776
65: 3073/829440
66: 133/55296
67: 833/552960
68: 1501/1658880
69: 143/276480
70: 77/276480
71: 77/552960
72: 7/110592
73: 7/276480
74: 7/829440
75: 7/3317760
76: 1/3317760

Dice: [12, 12, 12, 12, 12, 20]
6: 1/1
7: 4976639/4976640
8: 4976633/4976640
9: 1244153/1244160
10: 414713/414720
11: 165881/165888
12: 829363/829440
13: 414643/414720
14: 414577/414720
15: 1657879/1658880
16: 994327/995328
17: 621079/622080
18: 620533/622080
19: 4958081/4976640
20: 4949543/4976640
21: 246901/248832
22: 410233/414720
23: 1634359/1658880
24: 1626001/1658880
25: 605833/622080
26: 120203/124416
27: 793571/829440
28: 784277/829440
29: 16111/17280
30: 35653/38880
31: 895177/995328
32: 4376411/4976640
33: 1066223/1244160
34: 1035317/1244160
35: 500713/622080
36: 32155/41472
37: 308383/414720
38: 10903/15360
39: 559273/829440
40: 176173/276480
41: 49675/82944
42: 696359/1244160
43: 143759/276480
44: 132721/276480
45: 547801/1244160
46: 33269/82944
47: 100307/276480
48: 270167/829440
49: 4457/15360
50: 106337/414720
51: 9317/41472
52: 121367/622080
53: 208843/1244160
54: 177937/1244160
55: 600229/4976640
56: 100151/995328
57: 3227/38880
58: 1169/17280
59: 45163/829440
60: 35869/829440
61: 4213/124416
62: 16247/622080
63: 32879/1658880
64: 24521/1658880
65: 4487/414720
66: 1931/248832
67: 27097/4976640
68: 18559/4976640
69: 1547/622080
70: 1001/622080
71: 1001/995328
72: 1001/1658880
73: 143/414720
74: 77/414720
75: 77/829440
76: 7/165888
77: 7/414720
78: 7/1244160
79: 7/4976640
80: 1/4976640

Dice: [4, 4, 4, 4, 20, 20]
6: 1/1
7: 102399/102400
8: 102393/102400
9: 25593/25600
10: 25579/25600
11: 51097/51200
12: 50983/51200
13: 25397/25600
14: 5051/5120
15: 100231/102400
16: 99201/102400
17: 153/160
18: 753/800
19: 739/800
20: 723/800
21: 141/160
22: 137/160
23: 663/800
24: 639/800
25: 613/800
26: 117/160
27: 35521/51200
28: 33479/51200
29: 7831/12800
30: 7269/12800
31: 13383/25600
32: 12217/25600
33: 5531/12800
34: 4969/12800
35: 17721/51200
36: 15679/51200
37: 43/160
38: 187/800
39: 161/800
40: 137/800
41: 23/160
42: 19/160
43: 77/800
44: 61/800
45: 47/800
46: 7/160
47: 3199/102400
48: 2169/102400
49: 69/5120
50: 203/25600
51: 217/51200
52: 103/51200
53: 21/25600
54: 7/25600
55: 7/102400
56: 1/102400

Dice: [4, 4, 4, 6, 20, 20]
6: 1/1
7: 153599/153600
8: 153593/153600
9: 38393/38400
10: 12793/12800
11: 51131/51200
12: 51053/51200
13: 152761/153600
14: 152143/153600
15: 37813/38400
16: 37511/38400
17: 148487/153600
18: 146561/153600
19: 1127/1200
20: 553/600
21: 541/600
22: 211/240
23: 41/48
24: 62/75
25: 239/300
26: 917/1200
27: 18667/25600
28: 17709/25600
29: 4173/6400
30: 11717/19200
31: 8707/15360
32: 40121/76800
33: 36679/76800
34: 6653/15360
35: 7483/19200
36: 2227/6400
37: 7891/25600
38: 6933/25600
39: 283/1200
40: 61/300
41: 13/75
42: 7/48
43: 29/240
44: 59/600
45: 47/600
46: 73/1200
47: 7039/153600
48: 5113/153600
49: 889/38400
50: 587/38400
51: 1457/153600
52: 839/153600
53: 147/51200
54: 69/51200
55: 7/12800
56: 7/38400
57: 7/153600
58: 1/153600

Dice: [4, 4, 6, 6, 20, 20]
6: 1/1
7: 230399/230400
8: 230393/230400
9: 57593/57600
10: 19193/19200
11: 14387/14400
12: 3593/3600
13: 114767/115200
14: 114433/115200
15: 7121/7200
16: 2831/2880
17: 18719/19200
18: 55567/57600
19: 219367/230400
20: 43181/46080
21: 2207/2400
22: 2159/2400
23: 421/480
24: 409/480
25: 1979/2400
26: 1907/2400
27: 87793/115200
28: 83767/115200
29: 19867/28800
30: 2081/3200
31: 137/225
32: 163/288
33: 30073/57600
34: 27527/57600
35: 125/288
36: 88/225
37: 1119/3200
38: 8933/28800
39: 31433/115200
40: 27407/115200
41: 493/2400
42: 421/2400
43: 71/480
44: 59/480
45: 241/2400
46: 193/2400
47: 2899/46080
48: 11033/230400
49: 2033/57600
50: 481/19200
51: 49/2880
52: 79/7200
53: 767/115200
54: 433/115200
55: 7/3600
56: 13/14400
57: 7/19200
58: 7/57600
59: 7/230400
60: 1/230400

Dice: [4, 6, 6, 6, 20, 20]
6: 1/1
7: 345599/345600
8: 345593/345600
9: 86393/86400
10: 28793/28800
11: 345391/345600
12: 69029/69120
13: 344707/345600
14: 38221/38400
15: 38099/38400
16: 341309/345600
17: 339143/345600
18: 67261/69120
19: 27727/28800
20: 82087/86400
21: 323143/345600
22: 317089/345600
23: 359/400
24: 7/8
25: 17/20
26: 329/400
27: 27389/34560
28: 26267/34560
29: 31327/43200
30: 9907/14400
31: 112097/172800
32: 104999/172800
33: 97661/172800
34: 10019/19200
35: 9181/19200
36: 75139/172800
37: 67801/172800
38: 60703/172800
39: 4493/14400
40: 11873/43200
41: 8293/34560
42: 7171/34560
43: 71/400
44: 3/20
45: 1/8
46: 41/400
47: 28511/345600
48: 22457/345600
49: 4313/86400
50: 1073/28800
51: 1859/69120
52: 6457/345600
53: 4291/345600
54: 301/38400
55: 179/38400
56: 893/345600
57: 91/69120
58: 209/345600
59: 7/28800
60: 7/86400
61: 7/345600
62: 1/345600

Dice: [6, 6, 6, 6, 20, 20]
6: 1/1
7: 518399/518400
8: 518393/518400
9: 129593/129600
10: 43193/43200
11: 17273/17280
12: 86323/86400
13: 12937/12960
14: 64589/64800
15: 515509/518400
16: 513731/518400
17: 1997/2025
18: 15871/16200
19: 83921/86400
20: 16603/17280
21: 40957/43200
22: 120913/129600
23: 474559/518400
24: 92837/103680
25: 419/480
26: 407/480
27: 212653/259200
28: 204883/259200
29: 307/405
30: 7811/10800
31: 5929/8640
32: 27959/43200
33: 39299/64800
34: 1463/2592
35: 135191/259200
36: 124009/259200
37: 1129/2592
38: 25501/64800
39: 15241/43200
40: 2711/8640
41: 2989/10800
42: 98/405
43: 54317/259200
44: 46547/259200
45: 73/480
46: 61/480
47: 10843/103680
48: 43841/518400
49: 8687/129600
50: 2243/43200
51: 677/17280
52: 2479/86400
53: 329/16200
54: 28/2025
55: 4669/518400
56: 2891/518400
57: 211/64800
58: 23/12960
59: 77/86400
60: 7/17280
61: 7/43200
62: 7/129600
63: 7/518400
64: 1/518400

Dice: [4, 4, 4, 8, 20, 20]
6: 1/1
7: 204799/204800
8: 204793/204800
9: 51193/51200
10: 51179/51200
11: 204593/204800
12: 204359/204800
13: 5099/5120
14: 25417/25600
15: 8097/8192
16: 201167/204800
17: 49877/51200
18: 49351/51200
19: 194823/204800
20: 38349/40960
21: 147/160
22: 719/800
23: 701/800
24: 681/800
25: 659/800
26: 127/160
27: 77953/102400
28: 2975/4096
29: 17639/25600
30: 16629/25600
31: 62287/102400
32: 57913/102400
33: 6681/12800
34: 6119/12800
35: 44487/102400
36: 40113/102400
37: 8971/25600
38: 7961/25600
39: 1121/4096
40: 24447/102400
41: 33/160
42: 141/800
43: 119/800
44: 99/800
45: 81/800
46: 13/160
47: 2611/40960
48: 9977/204800
49: 1849/51200
50: 1323/51200
51: 3633/204800
52: 95/8192
53: 183/25600
54: 21/5120
55: 441/204800
56: 207/204800
57: 21/51200
58: 7/51200
59: 7/204800
60: 1/204800

Dice: [4, 4, 6, 8, 20, 20]
6: 1/1
7: 307199/307200
8: 307193/307200
9: 76793/76800
10: 25593/25600
11: 19187/19200
12: 4793/4800
13: 102111/102400
14: 305659/307200
15: 60929/61440
16: 303203/307200
17: 1569/1600
18: 6223/6400
19: 73877/76800
20: 24301/25600
21: 95661/102400
22: 93867/102400
23: 269/300
24: 1049/1200
25: 1019/1200
26: 493/600
27: 121601/153600
28: 23323/30720
29: 5563/7680
30: 26389/38400
31: 6221/9600
32: 1457/2400
33: 17351/30720
34: 26711/51200
35: 24489/51200
36: 13369/30720
37: 943/2400
38: 3379/9600
39: 12011/38400
40: 2117/7680
41: 7397/30720
42: 31999/153600
43: 107/600
44: 181/1200
45: 151/1200
46: 31/300
47: 8533/102400
48: 6739/102400
49: 1299/25600
50: 2923/76800
51: 177/6400
52: 31/1600
53: 3997/307200
54: 511/61440
55: 1541/307200
56: 289/102400
57: 7/4800
58: 13/19200
59: 7/25600
60: 7/76800
61: 7/307200
62: 1/307200

Dice: [4, 6, 6, 8, 20, 20]
6: 1/1
7: 460799/460800
8: 460793/460800
9: 115193/115200
10: 38393/38400
11: 460591/460800
12: 92069/92160
13: 76651/76800
14: 229591/230400
15: 3181/3200
16: 9509/9600
17: 227081/230400
18: 25063/25600
19: 447239/460800
20: 88477/92160
21: 485/512
22: 107383/115200
23: 421447/460800
24: 16489/18432
25: 2093/2400
26: 2033/2400
27: 188833/230400
28: 181927/230400
29: 8723/11520
30: 13871/19200
31: 157937/230400
32: 148967/230400
33: 23269/38400
34: 12997/23040
35: 2503/4800
36: 2297/4800
37: 10043/23040
38: 15131/38400
39: 81433/230400
40: 72463/230400
41: 5329/19200
42: 2797/11520
43: 48473/230400
44: 41567/230400
45: 367/2400
46: 307/2400
47: 1943/18432
48: 39353/460800
49: 7817/115200
50: 27/512
51: 3683/92160
52: 13561/460800
53: 537/25600
54: 3319/230400
55: 91/9600
56: 19/3200
57: 809/230400
58: 149/76800
59: 91/92160
60: 209/460800
61: 7/38400
62: 7/115200
63: 7/460800
64: 1/460800

Dice: [6, 6, 6, 8, 20, 20]
6: 1/1
7: 691199/691200
8: 691193/691200
9: 172793/172800
10: 57593/57600
11: 23033/23040
12: 115123/115200
13: 230093/230400
14: 45967/46080
15: 344141/345600
16: 114409/115200
17: 4559/4608
18: 340147/345600
19: 45041/46080
20: 223219/230400
21: 110381/115200
22: 108899/115200
23: 2143/2304
24: 157687/172800
25: 616903/691200
26: 120269/138240
27: 292033/345600
28: 56507/69120
29: 68047/86400
30: 21751/28800
31: 41507/57600
32: 39389/57600
33: 74323/115200
34: 13937/23040
35: 97363/172800
36: 30023/57600
37: 27577/57600
38: 75437/172800
39: 9103/23040
40: 40877/115200
41: 18211/57600
42: 16093/57600
43: 7049/28800
44: 18353/86400
45: 12613/69120
46: 53567/345600
47: 17971/138240
48: 74297/691200
49: 15113/172800
50: 161/2304
51: 6301/115200
52: 4819/115200
53: 7181/230400
54: 1039/46080
55: 5453/345600
56: 49/4608
57: 791/115200
58: 1459/345600
59: 113/46080
60: 307/230400
61: 77/115200
62: 7/23040
63: 7/57600
64: 7/172800
65: 7/691200
66: 1/691200

Dice: [4, 4, 8, 8, 20, 20]
6: 1/1
7: 409599/409600
8: 409593/409600
9: 102393/102400
10: 102379/102400
11: 25587/25600
12: 6393/6400
13: 102183/102400
14: 102013/102400
15: 203509/204800
16: 202763/204800
17: 100867/102400
18: 20037/20480
19: 6207/6400
20: 24557/25600
21: 96917/102400
22: 95367/102400
23: 374279/409600
24: 366081/409600
25: 697/800
26: 677/800
27: 167681/204800
28: 161543/204800
29: 38727/51200
30: 36949/51200
31: 1753/2560
32: 2067/3200
33: 31001/51200
34: 28867/51200
35: 53387/102400
36: 49013/102400
37: 22333/51200
38: 20199/51200
39: 1133/3200
40: 807/2560
41: 14251/51200
42: 12473/51200
43: 43257/204800
44: 37119/204800
45: 123/800
46: 103/800
47: 43519/409600
48: 35321/409600
49: 7033/102400
50: 5483/102400
51: 1043/25600
52: 193/6400
53: 443/20480
54: 1533/102400
55: 2037/204800
56: 1291/204800
57: 387/102400
58: 217/102400
59: 7/6400
60: 13/25600
61: 21/102400
62: 7/102400
63: 7/409600
64: 1/409600

Dice: [4, 6, 8, 8, 20, 20]
6: 1/1
7: 614399/614400
8: 614393/614400
9: 153593/153600
10: 51193/51200
11: 614191/614400
12: 122789/122880
13: 122701/122880
14: 24511/24576
15: 203879/204800
16: 121991/122880
17: 202527/204800
18: 604363/614400
19: 200051/204800
20: 118963/122880
21: 196077/204800
22: 38687/40960
23: 142741/153600
24: 140039/153600
25: 547847/614400
26: 534017/614400
27: 86443/102400
28: 83629/102400
29: 20141/25600
30: 57941/76800
31: 221137/307200
32: 209863/307200
33: 13201/20480
34: 185689/307200
35: 173003/307200
36: 160093/307200
37: 147107/307200
38: 134197/307200
39: 121511/307200
40: 7279/20480
41: 97337/307200
42: 86063/307200
43: 18859/76800
44: 5459/25600
45: 18771/102400
46: 15957/102400
47: 80383/614400
48: 66553/614400
49: 13561/153600
50: 10859/153600
51: 2273/40960
52: 8723/204800
53: 3917/122880
54: 4749/204800
55: 10037/614400
56: 2273/204800
57: 889/122880
58: 921/204800
59: 65/24576
60: 179/122880
61: 91/122880
62: 209/614400
63: 7/51200
64: 7/153600
65: 7/614400
66: 1/614400

Dice: [6, 6, 8, 8, 20, 20]
6: 1/1
7: 921599/921600
8: 921593/921600
9: 230393/230400
10: 76793/76800
11: 30713/30720
12: 153523/153600
13: 460339/460800
14: 459949/460800
15: 183731/184320
16: 916777/921600
17: 228517/230400
18: 227579/230400
19: 905303/921600
20: 898817/921600
21: 445331/460800
22: 440333/460800
23: 144781/153600
24: 28487/30720
25: 69863/76800
26: 204967/230400
27: 266371/307200
28: 86231/102400
29: 93847/115200
30: 2009/2560
31: 3853/5120
32: 18383/25600
33: 157037/230400
34: 148211/230400
35: 278081/460800
36: 259223/460800
37: 60011/115200
38: 55189/115200
39: 201577/460800
40: 182719/460800
41: 82189/230400
42: 73363/230400
43: 7217/25600
44: 1267/5120
45: 551/2560
46: 21353/115200
47: 16169/102400
48: 40829/307200
49: 25433/230400
50: 6937/76800
51: 2233/30720
52: 8819/153600
53: 20467/460800
54: 15469/460800
55: 22783/921600
56: 16297/921600
57: 2821/230400
58: 1883/230400
59: 4823/921600
60: 589/184320
61: 851/460800
62: 461/460800
63: 77/153600
64: 7/30720
65: 7/76800
66: 7/230400
67: 7/921600
68: 1/921600

Dice: [4, 8, 8, 8, 20, 20]
6: 1/1
7: 819199/819200
8: 819193/819200
9: 204793/204800
10: 204779/204800
11: 818991/819200
12: 163749/163840
13: 6393/6400
14: 25549/25600
15: 81641/81920
16: 407339/409600
17: 4061/4096
18: 101099/102400
19: 402133/409600
20: 399219/409600
21: 24723/25600
22: 6111/6400
23: 771527/819200
24: 758993/819200
25: 186133/204800
26: 182023/204800
27: 709641/819200
28: 689167/819200
29: 16667/20480
30: 80277/102400
31: 307921/409600
32: 293831/409600
33: 2179/3200
34: 8227/12800
35: 123507/204800
36: 115157/204800
37: 26667/51200
38: 24533/51200
39: 89643/204800
40: 81293/204800
41: 4573/12800
42: 1021/3200
43: 115769/409600
44: 101679/409600
45: 22123/102400
46: 3813/20480
47: 130033/819200
48: 109559/819200
49: 22777/204800
50: 18667/204800
51: 60207/819200
52: 47673/819200
53: 289/6400
54: 877/25600
55: 10381/409600
56: 7467/409600
57: 1301/102400
58: 35/4096
59: 2261/409600
60: 279/81920
61: 51/25600
62: 7/6400
63: 91/163840
64: 209/819200
65: 21/204800
66: 7/204800
67: 7/819200
68: 1/819200

Dice: [6, 8, 8, 8, 20, 20]
6: 1/1
7: 1228799/1228800
8: 1228793/1228800
9: 307193/307200
10: 102393/102400
11: 40953/40960
12: 204723/204800
13: 1227877/1228800
14: 1227091/1228800
15: 306457/307200
16: 12239/12288
17: 610543/614400
18: 608569/614400
19: 40393/40960
20: 40159/40960
21: 99651/102400
22: 296167/307200
23: 1171117/1228800
24: 1154971/1228800
25: 568039/614400
26: 557161/614400
27: 544811/614400
28: 106193/122880
29: 1031231/1228800
30: 66503/81920
31: 240233/307200
32: 9215/12288
33: 146569/204800
34: 139151/204800
35: 6569/10240
36: 92489/153600
37: 172561/307200
38: 159943/307200
39: 147257/307200
40: 134639/307200
41: 61111/153600
42: 3671/10240
43: 65649/204800
44: 58231/204800
45: 3073/12288
46: 66967/307200
47: 15417/81920
48: 197569/1228800
49: 16687/122880
50: 69589/614400
51: 57239/614400
52: 46361/614400
53: 73829/1228800
54: 57683/1228800
55: 11033/307200
56: 2749/102400
57: 801/40960
58: 567/40960
59: 5831/614400
60: 3857/614400
61: 49/12288
62: 743/307200
63: 1709/1228800
64: 923/1228800
65: 77/204800
66: 7/40960
67: 7/102400
68: 7/307200
69: 7/1228800
70: 1/1228800

Dice: [8, 8, 8, 8, 20, 20]
6: 1/1
7: 1638399/1638400
8: 1638393/1638400
9: 409593/409600
10: 409579/409600
11: 163819/163840
12: 818969/819200
13: 409369/409600
14: 409171/409600
15: 1635401/1638400
16: 1633423/1638400
17: 203813/204800
18: 40659/40960
19: 405169/409600
20: 403279/409600
21: 200417/204800
22: 7955/8192
23: 1575793/1638400
24: 1557431/1638400
25: 383917/409600
26: 15103/16384
27: 92573/102400
28: 9051/10240
29: 352803/409600
30: 342577/409600
31: 1325483/1638400
32: 1276829/1638400
33: 153063/204800
34: 146093/204800
35: 110987/163840
36: 104829/163840
37: 61531/102400
38: 57441/102400
39: 4263/8192
40: 3929/8192
41: 44959/102400
42: 40869/102400
43: 59011/163840
44: 52853/163840
45: 58707/204800
46: 51737/204800
47: 361571/1638400
48: 312917/1638400
49: 67023/409600
50: 56797/409600
51: 1189/10240
52: 9827/102400
53: 1281/16384
54: 25683/409600
55: 80969/1638400
56: 62607/1638400
57: 237/8192
58: 4383/204800
59: 6321/409600
60: 4431/409600
61: 301/40960
62: 987/204800
63: 4977/1638400
64: 2999/1638400
65: 429/409600
66: 231/409600
67: 231/819200
68: 21/163840
69: 21/409600
70: 7/409600
71: 7/1638400
72: 1/1638400

Dice: [4, 4, 4, 12, 20, 20]
6: 1/1
7: 307199/307200
8: 307193/307200
9: 76793/76800
10: 25593/25600
11: 102331/102400
12: 102253/102400
13: 2553/2560
14: 12739/12800
15: 12701/12800
16: 7589/7680
17: 7547/7680
18: 7493/7680
19: 297017/307200
20: 293711/307200
21: 72437/76800
22: 23757/25600
23: 93229/102400
24: 91179/102400
25: 2083/2400
26: 2023/2400
27: 125249/153600
28: 120647/153600
29: 28919/38400
30: 27589/38400
31: 104719/153600
32: 98809/153600
33: 2317/3840
34: 10799/19200
35: 10001/19200
36: 9199/19200
37: 8401/19200
38: 1523/3840
39: 54791/153600
40: 48881/153600
41: 10811/38400
42: 9481/38400
43: 32953/153600
44: 28351/153600
45: 377/2400
46: 317/2400
47: 11221/102400
48: 9171/102400
49: 1843/25600
50: 4363/76800
51: 13489/307200
52: 10183/307200
53: 187/7680
54: 133/7680
55: 91/7680
56: 99/12800
57: 61/12800
58: 7/2560
59: 147/102400
60: 69/102400
61: 7/25600
62: 7/76800
63: 7/307200
64: 1/307200

Dice: [4, 4, 6, 12, 20, 20]
6: 1/1
7: 460799/460800
8: 460793/460800
9: 115193/115200
10: 38393/38400
11: 28787/28800
12: 7193/7200
13: 153311/153600
14: 459259/460800
15: 12729/12800
16: 114199/115200
17: 22741/23040
18: 7537/7680
19: 448901/460800
20: 49419/51200
21: 6871/7200
22: 27109/28800
23: 11853/12800
24: 104647/115200
25: 409351/460800
26: 398977/460800
27: 193729/230400
28: 187399/230400
29: 45127/57600
30: 14423/19200
31: 10321/14400
32: 2449/3600
33: 49313/76800
34: 138821/230400
35: 10789/19200
36: 29993/57600
37: 27607/57600
38: 8411/19200
39: 91579/230400
40: 27487/76800
41: 1151/3600
42: 4079/14400
43: 4777/19200
44: 12473/57600
45: 43001/230400
46: 36671/230400
47: 61823/460800
48: 51449/460800
49: 10553/115200
50: 947/12800
51: 1691/28800
52: 329/7200
53: 1781/51200
54: 11899/460800
55: 143/7680
56: 299/23040
57: 1001/115200
58: 71/12800
59: 1541/460800
60: 289/153600
61: 7/7200
62: 13/28800
63: 7/38400
64: 7/115200
65: 7/460800
66: 1/460800

Dice: [4, 6, 6, 12, 20, 20]
6: 1/1
7: 691199/691200
8: 691193/691200
9: 172793/172800
10: 57593/57600
11: 690991/691200
12: 138149/138240
13: 115051/115200
14: 344791/345600
15: 688463/691200
16: 27473/27648
17: 114089/115200
18: 4543/4608
19: 677431/691200
20: 672337/691200
21: 333017/345600
22: 109733/115200
23: 649319/691200
24: 127741/138240
25: 52207/57600
26: 153151/172800
27: 66337/76800
28: 193253/230400
29: 70099/86400
30: 22507/28800
31: 258977/345600
32: 247127/345600
33: 39101/57600
34: 110753/172800
35: 207937/345600
36: 194023/345600
37: 29983/57600
38: 27617/57600
39: 151577/345600
40: 137663/345600
41: 62047/172800
42: 18499/57600
43: 98473/345600
44: 86623/345600
45: 6293/28800
46: 16301/86400
47: 37147/230400
48: 10463/76800
49: 19649/172800
50: 5393/57600
51: 10499/138240
52: 41881/691200
53: 5467/115200
54: 12583/345600
55: 18863/691200
56: 13769/691200
57: 65/4608
58: 1111/115200
59: 175/27648
60: 2737/691200
61: 809/345600
62: 149/115200
63: 91/138240
64: 209/691200
65: 7/57600
66: 7/172800
67: 7/691200
68: 1/691200

Dice: [6, 6, 6, 12, 20, 20]
6: 1/1
7: 1036799/1036800
8: 1036793/1036800
9: 259193/259200
10: 86393/86400
11: 34553/34560
12: 172723/172800
13: 345293/345600
14: 69007/69120
15: 344627/345600
16: 1032047/1036800
17: 514711/518400
18: 102581/103680
19: 510503/518400
20: 507401/518400
21: 1006993/1036800
22: 332461/345600
23: 328597/345600
24: 324019/345600
25: 159341/172800
26: 6251/6912
27: 91679/103680
28: 148903/172800
29: 96391/115200
30: 839113/1036800
31: 13471/17280
32: 64589/86400
33: 123283/172800
34: 117061/172800
35: 110557/172800
36: 311473/518400
37: 29077/51840
38: 134879/259200
39: 124321/259200
40: 22763/51840
41: 206927/518400
42: 62243/172800
43: 55739/172800
44: 49517/172800
45: 21811/86400
46: 3809/17280
47: 197687/1036800
48: 18809/115200
49: 23897/172800
50: 12001/103680
51: 661/6912
52: 13459/172800
53: 21581/345600
54: 17003/345600
55: 13139/345600
56: 29807/1036800
57: 10999/518400
58: 7897/518400
59: 1099/103680
60: 3689/518400
61: 4753/1036800
62: 973/345600
63: 113/69120
64: 307/345600
65: 77/172800
66: 7/34560
67: 7/86400
68: 7/259200
69: 7/1036800
70: 1/1036800

Dice: [4, 4, 8, 12, 20, 20]
6: 1/1
7: 614399/614400
8: 614393/614400
9: 153593/153600
10: 51193/51200
11: 38387/38400
12: 9593/9600
13: 153383/153600
14: 51071/51200
15: 203939/204800
16: 610319/614400
17: 7603/7680
18: 37841/38400
19: 601841/614400
20: 597271/614400
21: 147907/153600
22: 146201/153600
23: 9011/9600
24: 35453/38400
25: 139093/153600
26: 136007/153600
27: 106037/122880
28: 514831/614400
29: 20749/25600
30: 59957/76800
31: 4791/6400
32: 1143/1600
33: 17363/25600
34: 49187/76800
35: 184727/307200
36: 57467/102400
37: 3331/6400
38: 3069/6400
39: 44933/102400
40: 122473/307200
41: 27613/76800
42: 8237/25600
43: 457/1600
44: 1609/6400
45: 16843/76800
46: 4851/25600
47: 99569/614400
48: 16843/122880
49: 17593/153600
50: 14507/153600
51: 2947/38400
52: 589/9600
53: 7399/153600
54: 5693/153600
55: 17129/614400
56: 12559/614400
57: 559/38400
58: 77/7680
59: 4081/614400
60: 861/204800
61: 129/51200
62: 217/153600
63: 7/9600
64: 13/38400
65: 7/51200
66: 7/153600
67: 7/614400
68: 1/614400

Dice: [4, 6, 8, 12, 20, 20]
6: 1/1
7: 921599/921600
8: 921593/921600
9: 230393/230400
10: 76793/76800
11: 921391/921600
12: 184229/184320
13: 184141/184320
14: 36799/36864
15: 229709/230400
16: 76429/76800
17: 914753/921600
18: 911479/921600
19: 181429/184320
20: 901567/921600
21: 24849/25600
22: 221491/230400
23: 875609/921600
24: 863359/921600
25: 169819/184320
26: 832721/921600
27: 407083/460800
28: 44077/51200
29: 256789/307200
30: 745129/921600
31: 71773/92160
32: 68827/92160
33: 328447/460800
34: 311897/460800
35: 73651/115200
36: 23059/38400
37: 258367/460800
38: 239753/460800
39: 221047/460800
40: 202433/460800
41: 15341/38400
42: 41549/115200
43: 148903/460800
44: 132353/460800
45: 23333/92160
46: 20387/92160
47: 176471/921600
48: 50411/307200
49: 7123/51200
50: 53717/460800
51: 88879/921600
52: 14501/184320
53: 58241/921600
54: 45991/921600
55: 8909/230400
56: 751/25600
57: 20033/921600
58: 2891/184320
59: 10121/921600
60: 6847/921600
61: 371/76800
62: 691/230400
63: 65/36864
64: 179/184320
65: 91/184320
66: 209/921600
67: 7/76800
68: 7/230400
69: 7/921600
70: 1/921600

Dice: [6, 6, 8, 12, 20, 20]
6: 1/1
7: 1382399/1382400
8: 1382393/1382400
9: 345593/345600
10: 115193/115200
11: 46073/46080
12: 230323/230400
13: 690739/691200
14: 690349/691200
15: 229909/230400
16: 45919/46080
17: 1273/1280
18: 171379/172800
19: 75883/76800
20: 75509/76800
21: 168821/172800
22: 6203/6400
23: 8845/9216
24: 218507/230400
25: 646259/691200
26: 635501/691200
27: 77897/86400
28: 38077/43200
29: 296819/345600
30: 288193/345600
31: 1114987/1382400
32: 1074013/1382400
33: 257501/345600
34: 49159/69120
35: 77819/115200
36: 2941/4608
37: 1919/3200
38: 48401/86400
39: 19973/38400
40: 18427/38400
41: 37999/86400
42: 1281/3200
43: 1667/4608
44: 37381/115200
45: 19961/69120
46: 88099/345600
47: 308387/1382400
48: 267413/1382400
49: 57407/345600
50: 48781/345600
51: 5123/43200
52: 8503/86400
53: 55699/691200
54: 44941/691200
55: 11893/230400
56: 371/9216
57: 197/6400
58: 3979/172800
59: 1291/76800
60: 917/76800
61: 1421/172800
62: 7/1280
63: 161/46080
64: 491/230400
65: 851/691200
66: 461/691200
67: 77/230400
68: 7/46080
69: 7/115200
70: 7/345600
71: 7/1382400
72: 1/1382400

Dice: [4, 8, 8, 12, 20, 20]
6: 1/1
7: 1228799/1228800
8: 1228793/1228800
9: 307193/307200
10: 102393/102400
11: 1228591/1228800
12: 245669/245760
13: 9593/9600
14: 12783/12800
15: 1226009/1228800
16: 1224271/1228800
17: 305443/307200
18: 304577/307200
19: 606829/614400
20: 40253/40960
21: 99989/102400
22: 59513/61440
23: 235709/245760
24: 388173/409600
25: 1435/1536
26: 8819/9600
27: 368963/409600
28: 360693/409600
29: 263587/307200
30: 85307/102400
31: 990121/1228800
32: 953743/1228800
33: 1191/1600
34: 13643/19200
35: 82939/122880
36: 130619/204800
37: 30687/51200
38: 17203/30720
39: 159763/307200
40: 147437/307200
41: 13517/30720
42: 20513/51200
43: 74181/204800
44: 39941/122880
45: 5557/19200
46: 409/1600
47: 275057/1228800
48: 238679/1228800
49: 17093/102400
50: 43613/307200
51: 48907/409600
52: 40637/409600
53: 781/9600
54: 101/1536
55: 21427/409600
56: 10051/245760
57: 1927/61440
58: 2411/102400
59: 707/40960
60: 7571/614400
61: 2623/307200
62: 1757/307200
63: 4529/1228800
64: 2791/1228800
65: 17/12800
66: 7/9600
67: 91/245760
68: 209/1228800
69: 7/102400
70: 7/307200
71: 7/1228800
72: 1/1228800

Dice: [6, 8, 8, 12, 20, 20]
6: 1/1
7: 1843199/1843200
8: 1843193/1843200
9: 460793/460800
10: 153593/153600
11: 61433/61440
12: 307123/307200
13: 1842277/1843200
14: 1841491/1843200
15: 613409/614400
16: 1838293/1843200
17: 917729/921600
18: 915727/921600
19: 1825981/1843200
20: 363743/368640
21: 1809317/1843200
22: 1797443/1843200
23: 891377/921600
24: 882463/921600
25: 1743659/1843200
26: 38193/40960
27: 67591/73728
28: 331349/368640
29: 809731/921600
30: 10519/12288
31: 63829/76800
32: 185207/230400
33: 1427261/1843200
34: 1368923/1843200
35: 217823/307200
36: 620843/921600
37: 293407/460800
38: 11033/18432
39: 515651/921600
40: 479141/921600
41: 442459/921600
42: 405949/921600
43: 7399/18432
44: 167393/460800
45: 300757/921600
46: 89377/307200
47: 474277/1843200
48: 415939/1843200
49: 45193/230400
50: 12971/76800
51: 1769/12288
52: 111869/921600
53: 37291/368640
54: 6137/73728
55: 2767/40960
56: 99541/1843200
57: 39137/921600
58: 30223/921600
59: 45757/1843200
60: 33883/1843200
61: 4897/368640
62: 17219/1843200
63: 5873/921600
64: 3871/921600
65: 4907/1843200
66: 991/614400
67: 1709/1843200
68: 923/1843200
69: 77/307200
70: 7/61440
71: 7/153600
72: 7/460800
73: 7/1843200
74: 1/1843200

Dice: [8, 8, 8, 12, 20, 20]
6: 1/1
7: 2457599/2457600
8: 2457593/2457600
9: 614393/614400
10: 204793/204800
11: 81913/81920
12: 409523/409600
13: 204723/204800
14: 204657/204800
15: 4091/4096
16: 306577/307200
17: 612419/614400
18: 611369/614400
19: 2439667/2457600
20: 2431861/2457600
21: 60541/61440
22: 100357/102400
23: 797401/819200
24: 790703/819200
25: 586967/614400
26: 579773/614400
27: 1142717/1228800
28: 374433/409600
29: 183529/204800
30: 538129/614400
31: 209701/245760
32: 1017911/1228800
33: 492259/614400
34: 474209/614400
35: 1819511/2457600
36: 1737457/2457600
37: 68799/102400
38: 65053/102400
39: 734221/1228800
40: 686731/1228800
41: 79823/153600
42: 73777/153600
43: 542069/1228800
44: 494579/1228800
45: 37347/102400
46: 33601/102400
47: 720143/2457600
48: 638089/2457600
49: 140191/614400
50: 122141/614400
51: 210889/1228800
52: 36059/245760
53: 76271/614400
54: 21271/204800
55: 35167/409600
56: 86083/1228800
57: 34627/614400
58: 27433/614400
59: 28497/819200
60: 21799/819200
61: 2043/102400
62: 899/61440
63: 25739/2457600
64: 17933/2457600
65: 3031/614400
66: 1981/614400
67: 623/307200
68: 5/4096
69: 143/204800
70: 77/204800
71: 77/409600
72: 7/81920
73: 7/204800
74: 7/614400
75: 7/2457600
76: 1/2457600

Dice: [4, 4, 12, 12, 20, 20]
6: 1/1
7: 921599/921600
8: 921593/921600
9: 230393/230400
10: 76793/76800
11: 57587/57600
12: 14393/14400
13: 230183/230400
14: 25557/25600
15: 114877/115200
16: 114689/115200
17: 228853/230400
18: 228143/230400
19: 454417/460800
20: 90403/92160
21: 224497/230400
22: 44527/46080
23: 110191/115200
24: 108851/115200
25: 71521/76800
26: 210937/230400
27: 137867/153600
28: 44919/51200
29: 196931/230400
30: 38237/46080
31: 246541/307200
32: 79161/102400
33: 85417/115200
34: 5437/7680
35: 38747/57600
36: 36631/57600
37: 68891/115200
38: 64417/115200
39: 119759/230400
40: 110641/230400
41: 50783/115200
42: 46309/115200
43: 20969/57600
44: 18853/57600
45: 2243/7680
46: 29783/115200
47: 23239/102400
48: 60659/307200
49: 7843/46080
50: 33469/230400
51: 6281/51200
52: 15733/153600
53: 19463/230400
54: 5279/76800
55: 6349/115200
56: 5009/115200
57: 1553/46080
58: 5903/230400
59: 1757/92160
60: 6383/460800
61: 2257/230400
62: 1547/230400
63: 511/115200
64: 323/115200
65: 43/25600
66: 217/230400
67: 7/14400
68: 13/57600
69: 7/76800
70: 7/230400
71: 7/921600
72: 1/921600

Dice: [4, 6, 12, 12, 20, 20]
6: 1/1
7: 1382399/1382400
8: 1382393/1382400
9: 345593/345600
10: 115193/115200
11: 1382191/1382400
12: 276389/276480
13: 276301/276480
14: 55231/55296
15: 275927/276480
16: 1377941/1382400
17: 55021/55296
18: 274439/276480
19: 1367737/1382400
20: 453973/460800
21: 451499/460800
22: 1345223/1382400
23: 1333853/1382400
24: 264031/276480
25: 260783/276480
26: 1284941/1382400
27: 1263067/1382400
28: 137573/153600
29: 1210111/1382400
30: 1178873/1382400
31: 572219/691200
32: 553429/691200
33: 71083/92160
34: 1022771/1382400
35: 488333/691200
36: 464107/691200
37: 17555/27648
38: 412829/691200
39: 386183/691200
40: 119723/230400
41: 110677/230400
42: 305017/691200
43: 278371/691200
44: 10093/27648
45: 227093/691200
46: 202867/691200
47: 359629/1382400
48: 21077/92160
49: 137771/691200
50: 118981/691200
51: 203527/1382400
52: 172289/1382400
53: 16027/153600
54: 119333/1382400
55: 97459/1382400
56: 15697/276480
57: 12449/276480
58: 48547/1382400
59: 37177/1382400
60: 9301/460800
61: 6827/460800
62: 14663/1382400
63: 2041/276480
64: 275/55296
65: 4459/1382400
66: 553/276480
67: 65/55296
68: 179/276480
69: 91/276480
70: 209/1382400
71: 7/115200
72: 7/345600
73: 7/1382400
74: 1/1382400

Dice: [6, 6, 12, 12, 20, 20]
6: 1/1
7: 2073599/2073600
8: 2073593/2073600
9: 518393/518400
10: 172793/172800
11: 69113/69120
12: 345523/345600
13: 1036339/1036800
14: 1035949/1036800
15: 2070653/2073600
16: 2068763/2073600
17: 516503/518400
18: 515537/518400
19: 411377/414720
20: 2049907/2073600
21: 1020437/1036800
22: 202943/207360
23: 2015213/2073600
24: 1997867/2073600
25: 494263/518400
26: 488113/518400
27: 641261/691200
28: 210089/230400
29: 61777/69120
30: 181117/207360
31: 98017/115200
32: 31717/38400
33: 207061/259200
34: 66491/86400
35: 510287/691200
36: 162451/230400
37: 6949/10368
38: 164323/259200
39: 618491/1036800
40: 578813/1036800
41: 269299/518400
42: 249101/518400
43: 457987/1036800
44: 418309/1036800
45: 94877/259200
46: 3419/10368
47: 67949/230400
48: 180913/691200
49: 19909/86400
50: 52139/259200
51: 6683/38400
52: 17183/115200
53: 26243/207360
54: 7343/69120
55: 20311/230400
56: 49939/691200
57: 30287/518400
58: 24137/518400
59: 75733/2073600
60: 58387/2073600
61: 4417/207360
62: 16363/1036800
63: 23693/2073600
64: 3343/414720
65: 2863/518400
66: 1897/518400
67: 4837/2073600
68: 2947/2073600
69: 851/1036800
70: 461/1036800
71: 77/345600
72: 7/69120
73: 7/172800
74: 7/518400
75: 7/2073600
76: 1/2073600

Dice: [4, 8, 12, 12, 20, 20]
6: 1/1
7: 1843199/1843200
8: 1843193/1843200
9: 460793/460800
10: 153593/153600
11: 1842991/1843200
12: 368549/368640
13: 14393/14400
14: 19183/19200
15: 230051/230400
16: 25537/25600
17: 12751/12800
18: 114539/115200
19: 36557/36864
20: 910771/921600
21: 9067/9216
22: 225389/230400
23: 895181/921600
24: 887419/921600
25: 21953/23040
26: 36131/38400
27: 170873/184320
28: 33587/36864
29: 205747/230400
30: 201061/230400
31: 20891/24576
32: 168999/204800
33: 73553/92160
34: 70859/92160
35: 54383/73728
36: 259709/368640
37: 12859/19200
38: 36493/57600
39: 274747/460800
40: 51433/92160
41: 59837/115200
42: 55363/115200
43: 40727/92160
44: 186053/460800
45: 21107/57600
46: 6341/19200
47: 108931/368640
48: 19345/73728
49: 21301/92160
50: 18607/92160
51: 35801/204800
52: 3685/24576
53: 29339/230400
54: 24653/230400
55: 3277/36864
56: 13447/184320
57: 2269/38400
58: 1087/23040
59: 34181/921600
60: 26419/921600
61: 5011/230400
62: 149/9216
63: 10829/921600
64: 307/36864
65: 661/115200
66: 49/12800
67: 63/25600
68: 349/230400
69: 17/19200
70: 7/14400
71: 91/368640
72: 209/1843200
73: 7/153600
74: 7/460800
75: 7/1843200
76: 1/1843200

Dice: [6, 8, 12, 12, 20, 20]
6: 1/1
7: 2764799/2764800
8: 2764793/2764800
9: 691193/691200
10: 230393/230400
11: 92153/92160
12: 460723/460800
13: 2763877/2764800
14: 2763091/2764800
15: 1380913/1382400
16: 51109/51200
17: 91901/92160
18: 275297/276480
19: 686843/691200
20: 136993/138240
21: 1365011/1382400
22: 452903/460800
23: 90053/92160
24: 1341037/1382400
25: 664603/691200
26: 657541/691200
27: 21641/23040
28: 319789/345600
29: 1257013/1382400
30: 1231907/1382400
31: 481501/552960
32: 469003/552960
33: 569089/691200
34: 550411/691200
35: 132569/172800
36: 15899/21600
37: 388799/552960
38: 205381/307200
39: 218629/345600
40: 205819/345600
41: 385453/691200
42: 119641/230400
43: 110759/230400
44: 305747/691200
45: 139781/345600
46: 126971/345600
47: 101819/307200
48: 164161/552960
49: 5701/21600
50: 40231/172800
51: 140789/691200
52: 122111/691200
53: 83957/552960
54: 71459/552960
55: 150493/1382400
56: 125387/1382400
57: 25811/345600
58: 1399/23040
59: 33659/691200
60: 26597/691200
61: 41363/1382400
62: 2107/92160
63: 7897/460800
64: 17389/1382400
65: 1247/138240
66: 4357/691200
67: 1183/276480
68: 259/92160
69: 91/51200
70: 1487/1382400
71: 1709/2764800
72: 923/2764800
73: 77/460800
74: 7/92160
75: 7/230400
76: 7/691200
77: 7/2764800
78: 1/2764800

Dice: [8, 8, 12, 12, 20, 20]
6: 1/1
7: 3686399/3686400
8: 3686393/3686400
9: 921593/921600
10: 307193/307200
11: 122873/122880
12: 614323/614400
13: 307123/307200
14: 307057/307200
15: 3683399/3686400
16: 3681409/3686400
17: 229903/230400
18: 229637/230400
19: 1834129/1843200
20: 1830103/1843200
21: 456193/460800
22: 151489/153600
23: 904553/921600
24: 179819/184320
25: 29747/30720
26: 17687/18432
27: 97197/102400
28: 287849/307200
29: 47253/51200
30: 417847/460800
31: 655111/737280
32: 3200341/3686400
33: 259753/307200
34: 252139/307200
35: 1829/2304
36: 176221/230400
37: 676381/921600
38: 215413/307200
39: 819521/1228800
40: 155147/245760
41: 136991/230400
42: 14261/25600
43: 239191/460800
44: 221609/460800
45: 11339/25600
46: 93409/230400
47: 90613/245760
48: 409279/1228800
49: 91787/307200
50: 245219/921600
51: 54179/230400
52: 475/2304
53: 55061/307200
54: 47447/307200
55: 486059/3686400
56: 82169/737280
57: 42953/460800
58: 3947/51200
59: 19351/307200
60: 5203/102400
61: 745/18432
62: 973/30720
63: 4501/184320
64: 17047/921600
65: 2111/153600
66: 4607/460800
67: 13097/1843200
68: 9071/1843200
69: 763/230400
70: 497/230400
71: 4991/3686400
72: 3001/3686400
73: 143/307200
74: 77/307200
75: 77/614400
76: 7/122880
77: 7/307200
78: 7/921600
79: 7/3686400
80: 1/3686400

Dice: [4, 12, 12, 12, 20, 20]
6: 1/1
7: 2764799/2764800
8: 2764793/2764800
9: 691193/691200
10: 230393/230400
11: 2764591/2764800
12: 552869/552960
13: 21593/21600
14: 28783/28800
15: 920669/921600
16: 2760257/2764800
17: 689429/691200
18: 137707/138240
19: 458207/460800
20: 1371347/1382400
21: 683533/691200
22: 680791/691200
23: 150521/153600
24: 5983/6144
25: 667913/691200
26: 132343/138240
27: 654391/691200
28: 129169/138240
29: 211997/230400
30: 624757/691200
31: 2448353/2764800
32: 2391799/2764800
33: 72791/86400
34: 35327/43200
35: 2186777/2764800
36: 2107087/2764800
37: 505547/691200
38: 53681/76800
39: 1838611/2764800
40: 1741109/2764800
41: 205091/345600
42: 192281/345600
43: 39847/76800
44: 36953/76800
45: 153319/345600
46: 140509/345600
47: 1023691/2764800
48: 926189/2764800
49: 23119/76800
50: 185653/691200
51: 657713/2764800
52: 578023/2764800
53: 7873/43200
54: 13609/86400
55: 373001/2764800
56: 316447/2764800
57: 66443/691200
58: 18403/230400
59: 9071/138240
60: 36809/691200
61: 5897/138240
62: 23287/691200
63: 161/6144
64: 3079/153600
65: 10409/691200
66: 7667/691200
67: 11053/1382400
68: 2593/460800
69: 533/138240
70: 1771/691200
71: 4543/2764800
72: 931/921600
73: 17/28800
74: 7/21600
75: 91/552960
76: 209/2764800
77: 7/230400
78: 7/691200
79: 7/2764800
80: 1/2764800

Dice: [6, 12, 12, 12, 20, 20]
6: 1/1
7: 4147199/4147200
8: 4147193/4147200
9: 1036793/1036800
10: 345593/345600
11: 138233/138240
12: 691123/691200
13: 4146277/4147200
14: 4145491/4147200
15: 165769/165888
16: 4142279/4147200
17: 2069701/2073600
18: 2067643/2073600
19: 1376521/1382400
20: 274787/276480
21: 1370509/1382400
22: 4098193/4147200
23: 163249/165888
24: 812003/829440
25: 4033937/4147200
26: 4002359/4147200
27: 3964657/4147200
28: 3920231/4147200
29: 3868523/4147200
30: 1269679/1382400
31: 1870679/2073600
32: 366517/414720
33: 3580271/4147200
34: 232439/276480
35: 376019/460800
36: 3273229/4147200
37: 1577053/2073600
38: 1513651/2073600
39: 96449/138240
40: 275341/414720
41: 2608057/4147200
42: 2458463/4147200
43: 1152887/2073600
44: 1075601/2073600
45: 997999/2073600
46: 920713/2073600
47: 1688737/4147200
48: 1539143/4147200
49: 139379/414720
50: 41791/138240
51: 559949/2073600
52: 496547/2073600
53: 873971/4147200
54: 84781/460800
55: 44041/276480
56: 566929/4147200
57: 48203/414720
58: 202921/2073600
59: 112721/1382400
60: 278677/4147200
61: 226969/4147200
62: 182543/4147200
63: 144841/4147200
64: 113263/4147200
65: 17437/829440
66: 2639/165888
67: 49007/4147200
68: 11891/1382400
69: 1693/276480
70: 5879/1382400
71: 5957/2073600
72: 3899/2073600
73: 4921/4147200
74: 119/165888
75: 1709/4147200
76: 923/4147200
77: 77/691200
78: 7/138240
79: 7/345600
80: 7/1036800
81: 7/4147200
82: 1/4147200

Dice: [8, 12, 12, 12, 20, 20]
6: 1/1
7: 5529599/5529600
8: 5529593/5529600
9: 1382393/1382400
10: 460793/460800
11: 184313/184320
12: 921523/921600
13: 460723/460800
14: 460657/460800
15: 2763299/2764800
16: 920767/921600
17: 92027/92160
18: 1379327/1382400
19: 612361/614400
20: 203813/204800
21: 228827/230400
22: 228221/230400
23: 90977/92160
24: 1358761/1382400
25: 225241/230400
26: 223751/230400
27: 2663471/2764800
28: 527573/552960
29: 40747/43200
30: 53603/57600
31: 1688639/1843200
32: 1658393/1843200
33: 1218319/1382400
34: 132221/153600
35: 463513/552960
36: 2249443/2764800
37: 4835/6144
38: 1048361/1382400
39: 335449/460800
40: 320683/460800
41: 305243/460800
42: 867691/1382400
43: 3273103/5529600
44: 3071417/5529600
45: 11947/23040
46: 11093/23040
47: 2458183/5529600
48: 2256497/5529600
49: 514709/1382400
50: 155557/460800
51: 140117/460800
52: 125351/460800
53: 334039/1382400
54: 1309/6144
55: 515357/2764800
56: 89447/552960
57: 21379/153600
58: 164081/1382400
59: 184807/1843200
60: 154561/1843200
61: 3997/57600
62: 2453/43200
63: 25387/552960
64: 101329/2764800
65: 6649/230400
66: 5159/230400
67: 23639/1382400
68: 1183/92160
69: 2179/230400
70: 1573/230400
71: 987/204800
72: 2039/614400
73: 3073/1382400
74: 133/92160
75: 833/921600
76: 1501/2764800
77: 143/460800
78: 77/460800
79: 77/921600
80: 7/184320
81: 7/460800
82: 7/1382400
83: 7/5529600
84: 1/5529600

Dice: [12, 12, 12, 12, 20, 20]
6: 1/1
7: 8294399/8294400
8: 8294393/8294400
9: 2073593/2073600
10: 691193/691200
11: 276473/276480
12: 1382323/1382400
13: 691123/691200
14: 691057/691200
15: 2763799/2764800
16: 1657879/1658880
17: 1035799/1036800
18: 1035253/1036800
19: 12931/12960
20: 258353/259200
21: 1031969/1036800
22: 114451/115200
23: 913403/921600
24: 910589/921600
25: 81635/82944
26: 2031041/2073600
27: 1009523/1036800
28: 111367/115200
29: 662479/691200
30: 1967263/2073600
31: 518353/552960
32: 2555843/2764800
33: 78593/86400
34: 231463/259200
35: 3626347/4147200
36: 3541133/4147200
37: 287311/345600
38: 92951/115200
39: 6473741/8294400
40: 1247999/1658880
41: 1498057/2073600
42: 477641/691200
43: 45499/69120
44: 215771/345600
45: 1222367/2073600
46: 382903/691200
47: 2148397/4147200
48: 1998803/4147200
49: 308297/691200
50: 851233/2073600
51: 129829/345600
52: 23621/69120
53: 213559/691200
54: 575543/2073600
55: 410881/1658880
56: 1820659/8294400
57: 22249/115200
58: 58289/345600
59: 606067/4147200
60: 520853/4147200
61: 27737/259200
62: 7807/86400
63: 208957/2764800
64: 34607/552960
65: 106337/2073600
66: 28721/691200
67: 3833/115200
68: 27277/1036800
69: 42559/2073600
70: 1309/82944
71: 11011/921600
72: 8197/921600
73: 749/115200
74: 4831/1036800
75: 847/259200
76: 29/12960
77: 1547/1036800
78: 1001/1036800
79: 1001/1658880
80: 1001/2764800
81: 143/691200
82: 77/691200
83: 77/1382400
84: 7/276480
85: 7/691200
86: 7/2073600
87: 7/8294400
88: 1/8294400

Dice: [4, 4, 4, 20, 20, 20]
6: 1/1
7: 511999/512000
8: 511993/512000
9: 127993/128000
10: 127979/128000
11: 511793/512000
12: 511559/512000
13: 12779/12800
14: 63817/64000
15: 63703/64000
16: 12709/12800
17: 12667/12800
18: 12613/12800
19: 62727/64000
20: 62313/64000
21: 12363/12800
22: 2449/2560
23: 12107/12800
24: 59737/64000
25: 58823/64000
26: 11557/12800
27: 452923/512000
28: 442461/512000
29: 21543/25600
30: 104529/128000
31: 404261/512000
32: 389363/512000
33: 4669/6400
34: 22303/32000
35: 21217/32000
36: 4019/6400
37: 3789/6400
38: 711/1280
39: 16593/32000
40: 15407/32000
41: 569/1280
42: 2611/6400
43: 2381/6400
44: 10783/32000
45: 9697/32000
46: 1731/6400
47: 122637/512000
48: 107739/512000
49: 23471/128000
50: 4057/25600
51: 69539/512000
52: 59077/512000
53: 1243/12800
54: 5177/64000
55: 4263/64000
56: 693/12800
57: 111/2560
58: 437/12800
59: 1687/64000
60: 1273/64000
61: 187/12800
62: 133/12800
63: 91/12800
64: 297/64000
65: 183/64000
66: 21/12800
67: 441/512000
68: 207/512000
69: 21/128000
70: 7/128000
71: 7/512000
72: 1/512000

Dice: [4, 4, 6, 20, 20, 20]
6: 1/1
7: 767999/768000
8: 767993/768000
9: 191993/192000
10: 63993/64000
11: 47987/48000
12: 11993/12000
13: 255711/256000
14: 766459/768000
15: 63787/64000
16: 190999/192000
17: 38101/38400
18: 12657/12800
19: 7561/7680
20: 187991/192000
21: 62243/64000
22: 37043/38400
23: 7337/7680
24: 12089/12800
25: 178921/192000
26: 176159/192000
27: 230701/256000
28: 678001/768000
29: 82783/96000
30: 26869/32000
31: 31289/38400
32: 151271/192000
33: 194287/256000
34: 559243/768000
35: 66799/96000
36: 21187/32000
37: 12043/19200
38: 11357/19200
39: 3553/6400
40: 49769/96000
41: 46231/96000
42: 2847/6400
43: 7843/19200
44: 7157/19200
45: 10813/32000
46: 29201/96000
47: 208757/768000
48: 61713/256000
49: 40729/192000
50: 7111/38400
51: 5131/32000
52: 13217/96000
53: 89999/768000
54: 25299/256000
55: 15841/192000
56: 13079/192000
57: 711/12800
58: 343/7680
59: 1357/38400
60: 1757/64000
61: 4009/192000
62: 119/7680
63: 143/12800
64: 299/38400
65: 1001/192000
66: 213/64000
67: 1541/768000
68: 289/256000
69: 7/12000
70: 13/48000
71: 7/64000
72: 7/192000
73: 7/768000
74: 1/768000

Dice: [4, 6, 6, 20, 20, 20]
6: 1/1
7: 1151999/1152000
8: 1151993/1152000
9: 287993/288000
10: 95993/96000
11: 1151791/1152000
12: 230309/230400
13: 191851/192000
14: 575191/576000
15: 1149263/1152000
16: 9181/9216
17: 190889/192000
18: 1523/1536
19: 12647/12800
20: 37771/38400
21: 187801/192000
22: 62173/64000
23: 36997/38400
24: 7327/7680
25: 12071/12800
26: 178631/192000
27: 117233/128000
28: 345397/384000
29: 169159/192000
30: 165217/192000
31: 321731/384000
32: 104071/128000
33: 18869/24000
34: 9089/12000
35: 279107/384000
36: 88919/128000
37: 21157/32000
38: 12029/19200
39: 11347/19200
40: 3551/6400
41: 49759/96000
42: 46241/96000
43: 2849/6400
44: 7853/19200
45: 7171/19200
46: 10843/32000
47: 39081/128000
48: 104893/384000
49: 2911/12000
50: 5131/24000
51: 23929/128000
52: 62269/384000
53: 26783/192000
54: 22841/192000
55: 38603/384000
56: 10767/128000
57: 13369/192000
58: 729/12800
59: 353/7680
60: 1403/38400
61: 1827/64000
62: 4199/192000
63: 629/38400
64: 153/12800
65: 13/1536
66: 1111/192000
67: 35/9216
68: 2737/1152000
69: 809/576000
70: 149/192000
71: 91/230400
72: 209/1152000
73: 7/96000
74: 7/288000
75: 7/1152000
76: 1/1152000

Dice: [6, 6, 6, 20, 20, 20]
6: 1/1
7: 1727999/1728000
8: 1727993/1728000
9: 431993/432000
10: 143993/144000
11: 57593/57600
12: 287923/288000
13: 575693/576000
14: 115087/115200
15: 575027/576000
16: 1723247/1728000
17: 860311/864000
18: 171701/172800
19: 12683/12800
20: 12637/12800
21: 12579/12800
22: 62537/64000
23: 62103/64000
24: 12317/12800
25: 2439/2560
26: 12053/12800
27: 33439/36000
28: 16457/18000
29: 517123/576000
30: 168823/192000
31: 1319/1536
32: 6421/7680
33: 1217/1500
34: 1883/2400
35: 72569/96000
36: 208949/288000
37: 399481/576000
38: 380287/576000
39: 801/1280
40: 3779/6400
41: 3549/6400
42: 16583/32000
43: 15417/32000
44: 2851/6400
45: 2621/6400
46: 479/1280
47: 195713/576000
48: 176519/576000
49: 79051/288000
50: 23431/96000
51: 517/2400
52: 283/1500
53: 1259/7680
54: 217/1536
55: 23177/192000
56: 58877/576000
57: 1543/18000
58: 2561/36000
59: 747/12800
60: 121/2560
61: 483/12800
62: 1897/64000
63: 1463/64000
64: 221/12800
65: 163/12800
66: 117/12800
67: 1099/172800
68: 3689/864000
69: 4753/1728000
70: 973/576000
71: 113/115200
72: 307/576000
73: 77/288000
74: 7/57600
75: 7/144000
76: 7/432000
77: 7/1728000
78: 1/1728000

Dice: [4, 4, 8, 20, 20, 20]
6: 1/1
7: 1023999/1024000
8: 1023993/1024000
9: 255993/256000
10: 255979/256000
11: 63987/64000
12: 15993/16000
13: 255783/256000
14: 255613/256000
15: 1021417/1024000
16: 1019919/1024000
17: 12723/12800
18: 63441/64000
19: 12643/12800
20: 62929/64000
21: 2503/2560
22: 12429/12800
23: 61631/64000
24: 2441/2560
25: 60319/64000
26: 11901/12800
27: 937203/1024000
28: 920357/1024000
29: 225361/256000
30: 220099/256000
31: 26787/32000
32: 51989/64000
33: 40219/51200
34: 193741/256000
35: 743733/1024000
36: 710883/1024000
37: 4229/6400
38: 20039/32000
39: 3781/6400
40: 17751/32000
41: 3317/6400
42: 3083/6400
43: 14249/32000
44: 2619/6400
45: 11961/32000
46: 2171/6400
47: 313117/1024000
48: 280267/1024000
49: 62259/256000
50: 10981/51200
51: 12011/64000
52: 5213/32000
53: 35901/256000
54: 30639/256000
55: 103643/1024000
56: 86797/1024000
57: 899/12800
58: 3681/64000
59: 119/2560
60: 2369/64000
61: 371/12800
62: 57/2560
63: 1071/64000
64: 157/12800
65: 559/64000
66: 77/12800
67: 4081/1024000
68: 2583/1024000
69: 387/256000
70: 217/256000
71: 7/16000
72: 13/64000
73: 21/256000
74: 7/256000
75: 7/1024000
76: 1/1024000

Dice: [4, 6, 8, 20, 20, 20]
6: 1/1
7: 1535999/1536000
8: 1535993/1536000
9: 383993/384000
10: 127993/128000
11: 1535791/1536000
12: 307109/307200
13: 307021/307200
14: 12275/12288
15: 383309/384000
16: 127629/128000
17: 1529153/1536000
18: 1525879/1536000
19: 190193/192000
20: 12633/12800
21: 188617/192000
22: 37507/38400
23: 2483/2560
24: 184663/192000
25: 7313/7680
26: 60229/64000
27: 1425803/1536000
28: 1403341/1536000
29: 114829/128000
30: 337373/384000
31: 1317883/1536000
32: 85539/102400
33: 9961/12288
34: 1204099/1536000
35: 96681/128000
36: 278393/384000
37: 1064581/1536000
38: 337841/512000
39: 60047/96000
40: 11333/19200
41: 17741/32000
42: 9949/19200
43: 9251/19200
44: 14259/32000
45: 7867/19200
46: 35953/96000
47: 174159/512000
48: 471419/1536000
49: 105607/384000
50: 31319/128000
51: 331901/1536000
52: 2327/12288
53: 16861/102400
54: 218117/1536000
55: 46627/384000
56: 13171/128000
57: 132659/1536000
58: 110197/1536000
59: 3771/64000
60: 367/7680
61: 7337/192000
62: 77/2560
63: 893/38400
64: 3383/192000
65: 167/12800
66: 1807/192000
67: 10121/1536000
68: 6847/1536000
69: 371/128000
70: 691/384000
71: 13/12288
72: 179/307200
73: 91/307200
74: 209/1536000
75: 7/128000
76: 7/384000
77: 7/1536000
78: 1/1536000

Dice: [6, 6, 8, 20, 20, 20]
6: 1/1
7: 2303999/2304000
8: 2303993/2304000
9: 575993/576000
10: 191993/192000
11: 76793/76800
12: 383923/384000
13: 1151539/1152000
14: 1151149/1152000
15: 383509/384000
16: 76639/76800
17: 6379/6400
18: 286579/288000
19: 2287493/2304000
20: 456151/460800
21: 12623/12800
22: 188447/192000
23: 37469/38400
24: 12401/12800
25: 184433/192000
26: 7303/7680
27: 721669/768000
28: 237249/256000
29: 21889/24000
30: 14327/16000
31: 67343/76800
32: 65761/76800
33: 320111/384000
34: 103547/128000
35: 300419/384000
36: 19299/25600
37: 138947/192000
38: 132857/192000
39: 506047/768000
40: 159939/256000
41: 11323/19200
42: 17731/32000
43: 9947/19200
44: 9253/19200
45: 14269/32000
46: 7877/19200
47: 96061/256000
48: 261953/768000
49: 59143/192000
50: 53053/192000
51: 6301/25600
52: 83581/384000
53: 24453/128000
54: 63889/384000
55: 11039/76800
56: 9457/76800
57: 1673/16000
58: 2111/24000
59: 18751/256000
60: 46331/768000
61: 377/7680
62: 7567/192000
63: 399/12800
64: 931/38400
65: 3553/192000
66: 177/12800
67: 4649/460800
68: 16507/2304000
69: 1421/288000
70: 21/6400
71: 161/76800
72: 491/384000
73: 851/1152000
74: 461/1152000
75: 77/384000
76: 7/76800
77: 7/192000
78: 7/576000
79: 7/2304000
80: 1/2304000

Dice: [4, 8, 8, 20, 20, 20]
6: 1/1
7: 2047999/2048000
8: 2047993/2048000
9: 511993/512000
10: 511979/512000
11: 2047791/2048000
12: 409509/409600
13: 15993/16000
14: 63949/64000
15: 2045209/2048000
16: 2043471/2048000
17: 510243/512000
18: 509377/512000
19: 2032857/2048000
20: 2026783/2048000
21: 12619/12800
22: 62793/64000
23: 62423/64000
24: 61977/64000
25: 61447/64000
26: 2433/2560
27: 1923299/2048000
28: 1896757/2048000
29: 466637/512000
30: 458119/512000
31: 1794387/2048000
32: 1752181/2048000
33: 53307/64000
34: 5173/6400
35: 1600917/2048000
36: 1542707/2048000
37: 74051/102400
38: 354053/512000
39: 1348693/2048000
40: 255783/409600
41: 3773/6400
42: 17727/32000
43: 16577/32000
44: 15423/32000
45: 14273/32000
46: 2627/6400
47: 153817/409600
48: 699307/2048000
49: 157947/512000
50: 28349/102400
51: 505293/2048000
52: 447083/2048000
53: 1227/6400
54: 10693/64000
55: 295819/2048000
56: 253613/2048000
57: 53881/512000
58: 45363/512000
59: 151243/2048000
60: 124701/2048000
61: 127/2560
62: 2553/64000
63: 2023/64000
64: 1577/64000
65: 1207/64000
66: 181/12800
67: 21217/2048000
68: 15143/2048000
69: 2623/512000
70: 1757/512000
71: 4529/2048000
72: 2791/2048000
73: 51/64000
74: 7/16000
75: 91/409600
76: 209/2048000
77: 21/512000
78: 7/512000
79: 7/2048000
80: 1/2048000

Dice: [6, 8, 8, 20, 20, 20]
6: 1/1
7: 3071999/3072000
8: 3071993/3072000
9: 767993/768000
10: 255993/256000
11: 102393/102400
12: 511923/512000
13: 3071077/3072000
14: 3070291/3072000
15: 1023009/1024000
16: 3067093/3072000
17: 1532129/1536000
18: 1530127/1536000
19: 50913/51200
20: 253959/256000
21: 3038089/3072000
22: 3026159/3072000
23: 188209/192000
24: 187079/192000
25: 61907/64000
26: 184111/192000
27: 2915603/3072000
28: 192043/204800
29: 710137/768000
30: 698747/768000
31: 457281/512000
32: 1343213/1536000
33: 2623073/3072000
34: 851197/1024000
35: 495611/614400
36: 2396657/3072000
37: 384951/512000
38: 1108811/1536000
39: 530231/768000
40: 168351/256000
41: 1916149/3072000
42: 1809443/3072000
43: 17717/32000
44: 49721/96000
45: 46279/96000
46: 14283/32000
47: 1262557/3072000
48: 1155851/3072000
49: 87649/256000
50: 237769/768000
51: 427189/1536000
52: 127049/512000
53: 675343/3072000
54: 118789/614400
55: 172803/1024000
56: 448927/3072000
57: 192787/1536000
58: 54719/512000
59: 69253/768000
60: 57863/768000
61: 12757/204800
62: 156397/3072000
63: 7889/192000
64: 2093/64000
65: 4921/192000
66: 3791/192000
67: 45841/3072000
68: 33911/3072000
69: 2041/256000
70: 287/51200
71: 5873/1536000
72: 3871/1536000
73: 4907/3072000
74: 991/1024000
75: 1709/3072000
76: 923/3072000
77: 77/512000
78: 7/102400
79: 7/256000
80: 7/768000
81: 7/3072000
82: 1/3072000

Dice: [8, 8, 8, 20, 20, 20]
6: 1/1
7: 4095999/4096000
8: 4095993/4096000
9: 1023993/1024000
10: 1023979/1024000
11: 409579/409600
12: 2047769/2048000
13: 1023769/1024000
14: 1023571/1024000
15: 4093/4096
16: 511377/512000
17: 1022019/1024000
18: 1020969/1024000
19: 2039033/2048000
20: 2035127/2048000
21: 1015003/1024000
22: 1011721/1024000
23: 4030393/4096000
24: 4010047/4096000
25: 62271/64000
26: 61809/64000
27: 784167/819200
28: 3880021/4096000
29: 958213/1024000
30: 944719/1024000
31: 1858843/2048000
32: 1824469/2048000
33: 893093/1024000
34: 871959/1024000
35: 424413/512000
36: 411861/512000
37: 796711/1024000
38: 767893/1024000
39: 294961/409600
40: 1410811/2048000
41: 134419/204800
42: 127537/204800
43: 2409621/4096000
44: 2265987/4096000
45: 16569/32000
46: 15431/32000
47: 1830013/4096000
48: 1686379/4096000
49: 77263/204800
50: 70381/204800
51: 637189/2048000
52: 114639/409600
53: 256107/1024000
54: 227289/1024000
55: 100139/512000
56: 87587/512000
57: 152041/1024000
58: 130907/1024000
59: 223531/2048000
60: 189157/2048000
61: 79281/1024000
62: 65787/1024000
63: 215979/4096000
64: 35033/819200
65: 2191/64000
66: 1729/64000
67: 85953/4096000
68: 65607/4096000
69: 12279/1024000
70: 8997/1024000
71: 12873/2048000
72: 8967/2048000
73: 3031/1024000
74: 1981/1024000
75: 623/512000
76: 3/4096
77: 429/1024000
78: 231/1024000
79: 231/2048000
80: 21/409600
81: 21/1024000
82: 7/1024000
83: 7/4096000
84: 1/4096000

Dice: [4, 4, 12, 20, 20, 20]
6: 1/1
7: 1535999/1536000
8: 1535993/1536000
9: 383993/384000
10: 127993/128000
11: 95987/96000
12: 23993/24000
13: 383783/384000
14: 127871/128000
15: 191677/192000
16: 191489/192000
17: 382453/384000
18: 381743/384000
19: 1523233/1536000
20: 506141/512000
21: 12603/12800
22: 188107/192000
23: 37393/38400
24: 12373/12800
25: 183973/192000
26: 7283/7680
27: 479673/512000
28: 1418861/1536000
29: 348991/384000
30: 114183/128000
31: 167683/192000
32: 32743/38400
33: 106247/128000
34: 309311/384000
35: 74791/96000
36: 6007/8000
37: 2215/3072
38: 264841/384000
39: 336407/512000
40: 191479/307200
41: 11303/19200
42: 17711/32000
43: 9943/19200
44: 9257/19200
45: 14289/32000
46: 7897/19200
47: 115721/307200
48: 175593/512000
49: 119159/384000
50: 857/3072
51: 1993/8000
52: 21209/96000
53: 74689/384000
54: 21753/128000
55: 5657/38400
56: 24317/192000
57: 13817/128000
58: 35009/384000
59: 117139/1536000
60: 32327/512000
61: 397/7680
62: 8027/192000
63: 427/12800
64: 1007/38400
65: 3893/192000
66: 197/12800
67: 5859/512000
68: 12767/1536000
69: 2257/384000
70: 1547/384000
71: 511/192000
72: 323/192000
73: 129/128000
74: 217/384000
75: 7/24000
76: 13/96000
77: 7/128000
78: 7/384000
79: 7/1536000
80: 1/1536000

Dice: [4, 6, 12, 20, 20, 20]
6: 1/1
7: 2303999/2304000
8: 2303993/2304000
9: 575993/576000
10: 191993/192000
11: 2303791/2304000
12: 460709/460800
13: 460621/460800
14: 18419/18432
15: 460247/460800
16: 2299541/2304000
17: 18377/18432
18: 458759/460800
19: 95389/96000
20: 285439/288000
21: 2276069/2304000
22: 2266739/2304000
23: 187937/192000
24: 7471/7680
25: 12359/12800
26: 183743/192000
27: 727301/768000
28: 143687/153600
29: 3689/4000
30: 43549/48000
31: 683861/768000
32: 26779/30720
33: 653603/768000
34: 127249/153600
35: 24697/30720
36: 597191/768000
37: 115123/153600
38: 552793/768000
39: 132211/192000
40: 125977/192000
41: 159381/256000
42: 451721/768000
43: 17701/32000
44: 9941/19200
45: 9259/19200
46: 14299/32000
47: 316279/768000
48: 96619/256000
49: 66023/192000
50: 59789/192000
51: 215207/768000
52: 38477/153600
53: 170809/768000
54: 6023/30720
55: 26351/153600
56: 114397/768000
57: 3941/30720
58: 84139/768000
59: 4451/48000
60: 311/4000
61: 9913/153600
62: 40699/768000
63: 8257/192000
64: 441/12800
65: 209/7680
66: 4063/192000
67: 37261/2304000
68: 27931/2304000
69: 2561/288000
70: 611/96000
71: 2041/460800
72: 55/18432
73: 4459/2304000
74: 553/460800
75: 13/18432
76: 179/460800
77: 91/460800
78: 209/2304000
79: 7/192000
80: 7/576000
81: 7/2304000
82: 1/2304000

Dice: [6, 6, 12, 20, 20, 20]
6: 1/1
7: 3455999/3456000
8: 3455993/3456000
9: 863993/864000
10: 287993/288000
11: 115193/115200
12: 575923/576000
13: 1727539/1728000
14: 1727149/1728000
15: 3453053/3456000
16: 3451163/3456000
17: 862103/864000
18: 861137/864000
19: 286607/288000
20: 11441/11520
21: 570541/576000
22: 1705873/1728000
23: 3397403/3456000
24: 675961/691200
25: 12439/12800
26: 2469/2560
27: 1101079/1152000
28: 1089457/1152000
29: 21521/23040
30: 176789/192000
31: 1739/1920
32: 8533/9600
33: 62647/72000
34: 61159/72000
35: 952537/1152000
36: 924367/1152000
37: 447053/576000
38: 430931/576000
39: 137963/192000
40: 26401/38400
41: 31451/48000
42: 89549/144000
43: 676987/1152000
44: 636877/1152000
45: 3313/6400
46: 3087/6400
47: 515123/1152000
48: 475013/1152000
49: 54451/144000
50: 16549/48000
51: 11999/38400
52: 54037/192000
53: 145069/576000
54: 128947/576000
55: 227633/1152000
56: 199463/1152000
57: 10841/72000
58: 9353/72000
59: 1067/9600
60: 181/1920
61: 15211/192000
62: 1519/23040
63: 62543/1152000
64: 50921/1152000
65: 91/2560
66: 361/12800
67: 15239/691200
68: 58597/3456000
69: 22127/1728000
70: 5459/576000
71: 79/11520
72: 1393/288000
73: 2863/864000
74: 1897/864000
75: 4837/3456000
76: 2947/3456000
77: 851/1728000
78: 461/1728000
79: 77/576000
80: 7/115200
81: 7/288000
82: 7/864000
83: 7/3456000
84: 1/3456000

Dice: [4, 8, 12, 20, 20, 20]
6: 1/1
7: 3071999/3072000
8: 3071993/3072000
9: 767993/768000
10: 255993/256000
11: 3071791/3072000
12: 614309/614400
13: 23993/24000
14: 31983/32000
15: 383651/384000
16: 127811/128000
17: 63853/64000
18: 191339/192000
19: 1018883/1024000
20: 610067/614400
21: 760543/768000
22: 757957/768000
23: 3018953/3072000
24: 1001061/1024000
25: 186509/192000
26: 61697/64000
27: 2934739/3072000
28: 2903621/3072000
29: 238979/256000
30: 706699/768000
31: 2780483/3072000
32: 909527/1024000
33: 166933/192000
34: 32593/38400
35: 21151/25600
36: 307883/384000
37: 18613/24000
38: 23923/32000
39: 2205877/3072000
40: 2110739/3072000
41: 33529/51200
42: 477373/768000
43: 1804661/3072000
44: 113197/204800
45: 49691/96000
46: 46309/96000
47: 91603/204800
48: 1267339/3072000
49: 290627/768000
50: 17671/51200
51: 961261/3072000
52: 866123/3072000
53: 8077/32000
54: 5387/24000
55: 76117/384000
56: 4449/25600
57: 5807/38400
58: 25067/192000
59: 114473/1024000
60: 291517/3072000
61: 61301/768000
62: 17021/256000
63: 168379/3072000
64: 137261/3072000
65: 2303/64000
66: 5491/192000
67: 22939/1024000
68: 53047/3072000
69: 10043/768000
70: 7457/768000
71: 4333/614400
72: 5117/1024000
73: 661/192000
74: 147/64000
75: 189/128000
76: 349/384000
77: 17/32000
78: 7/24000
79: 91/614400
80: 209/3072000
81: 7/256000
82: 7/768000
83: 7/3072000
84: 1/3072000

Dice: [6, 8, 12, 20, 20, 20]
6: 1/1
7: 4607999/4608000
8: 4607993/4608000
9: 1151993/1152000
10: 383993/384000
11: 153593/153600
12: 767923/768000
13: 4607077/4608000
14: 4606291/4608000
15: 2302513/2304000
16: 255727/256000
17: 153341/153600
18: 459617/460800
19: 4590571/4608000
20: 4583053/4608000
21: 762199/768000
22: 253363/256000
23: 75743/76800
24: 1131203/1152000
25: 4500689/4608000
26: 894331/921600
27: 1479049/1536000
28: 293107/307200
29: 120819/128000
30: 119313/128000
31: 705581/768000
32: 138791/153600
33: 1361891/1536000
34: 444343/512000
35: 216881/256000
36: 211111/256000
37: 614609/768000
38: 198173/256000
39: 1146269/1536000
40: 367033/512000
41: 526879/768000
42: 167419/256000
43: 238417/384000
44: 75129/128000
45: 848503/1536000
46: 794897/1536000
47: 741103/1536000
48: 687497/1536000
49: 52871/128000
50: 145583/384000
51: 88581/256000
52: 241121/768000
53: 144967/512000
54: 389731/1536000
55: 57827/256000
56: 153391/768000
57: 44889/256000
58: 39119/256000
59: 67657/512000
60: 174109/1536000
61: 14809/153600
62: 62419/768000
63: 8687/128000
64: 7181/128000
65: 14093/307200
66: 56951/1536000
67: 27269/921600
68: 107311/4608000
69: 20797/1152000
70: 1057/76800
71: 2637/256000
72: 5801/768000
73: 24947/4608000
74: 17429/4608000
75: 1183/460800
76: 259/153600
77: 273/256000
78: 1487/2304000
79: 1709/4608000
80: 923/4608000
81: 77/768000
82: 7/153600
83: 7/384000
84: 7/1152000
85: 7/4608000
86: 1/4608000

Dice: [8, 8, 12, 20, 20, 20]
6: 1/1
7: 6143999/6144000
8: 6143993/6144000
9: 1535993/1536000
10: 511993/512000
11: 204793/204800
12: 1023923/1024000
13: 511923/512000
14: 511857/512000
15: 6140999/6144000
16: 6139009/6144000
17: 383503/384000
18: 383237/384000
19: 6125857/6144000
20: 6117799/6144000
21: 1526779/1536000
22: 507771/512000
23: 3037801/3072000
24: 3026759/3072000
25: 502193/512000
26: 1498321/1536000
27: 496141/512000
28: 1476701/1536000
29: 1462973/1536000
30: 1447063/1536000
31: 952537/1024000
32: 2816101/3072000
33: 1384669/1536000
34: 452853/512000
35: 5318603/6144000
36: 1038329/1228800
37: 105279/128000
38: 306503/384000
39: 4743997/6144000
40: 1524601/2048000
41: 1098551/1536000
42: 42061/61440
43: 668423/1024000
44: 1904347/3072000
45: 900463/1536000
46: 56523/102400
47: 1589353/3072000
48: 1482647/3072000
49: 45877/102400
50: 635537/1536000
51: 1167653/3072000
52: 355577/1024000
53: 19379/61440
54: 437449/1536000
55: 523399/2048000
56: 1400003/6144000
57: 77497/384000
58: 22721/128000
59: 190471/1228800
60: 825397/6144000
61: 59147/512000
62: 151331/1536000
63: 255899/3072000
64: 71463/1024000
65: 88937/1536000
66: 73027/1536000
67: 59299/1536000
68: 15859/512000
69: 37679/1536000
70: 9807/512000
71: 45241/3072000
72: 34199/3072000
73: 4229/512000
74: 9221/1536000
75: 26201/6144000
76: 18143/6144000
77: 763/384000
78: 497/384000
79: 4991/6144000
80: 3001/6144000
81: 143/512000
82: 77/512000
83: 77/1024000
84: 7/204800
85: 7/512000
86: 7/1536000
87: 7/6144000
88: 1/6144000

Dice: [4, 12, 12, 20, 20, 20]
6: 1/1
7: 4607999/4608000
8: 4607993/4608000
9: 1151993/1152000
10: 383993/384000
11: 4607791/4608000
12: 921509/921600
13: 35993/36000
14: 47983/48000
15: 1535069/1536000
16: 4603457/4608000
17: 1150229/1152000
18: 229867/230400
19: 4592441/4608000
20: 509543/512000
21: 190721/192000
22: 114157/115200
23: 4552369/4608000
24: 907019/921600
25: 376163/384000
26: 1122107/1152000
27: 1114493/1152000
28: 1105511/1152000
29: 365009/384000
30: 360971/384000
31: 1425401/1536000
32: 468149/512000
33: 172613/192000
34: 11289/12800
35: 1325713/1536000
36: 17253/20480
37: 314869/384000
38: 305567/384000
39: 394149/512000
40: 380051/512000
41: 68473/96000
42: 65557/96000
43: 1000439/1536000
44: 316811/512000
45: 224801/384000
46: 211771/384000
47: 397211/768000
48: 370789/768000
49: 172229/384000
50: 159199/384000
51: 195189/512000
52: 535561/1536000
53: 30443/96000
54: 27527/96000
55: 131949/512000
56: 117851/512000
57: 78433/384000
58: 69131/384000
59: 3227/20480
60: 210287/1536000
61: 1511/12800
62: 19387/192000
63: 43851/512000
64: 110599/1536000
65: 23029/384000
66: 18991/384000
67: 46489/1152000
68: 37507/1152000
69: 29893/1152000
70: 7837/384000
71: 14581/921600
72: 55631/4608000
73: 1043/115200
74: 1279/192000
75: 2457/512000
76: 15559/4608000
77: 533/230400
78: 1771/1152000
79: 4543/4608000
80: 931/1536000
81: 17/48000
82: 7/36000
83: 91/921600
84: 209/4608000
85: 7/384000
86: 7/1152000
87: 7/4608000
88: 1/4608000

Dice: [6, 12, 12, 20, 20, 20]
6: 1/1
7: 6911999/6912000
8: 6911993/6912000
9: 1727993/1728000
10: 575993/576000
11: 230393/230400
12: 1151923/1152000
13: 6911077/6912000
14: 6910291/6912000
15: 276361/276480
16: 6907079/6912000
17: 3452101/3456000
18: 3450043/3456000
19: 3447181/3456000
20: 3443299/3456000
21: 6876299/6912000
22: 6862909/6912000
23: 1369163/1382400
24: 6824353/6912000
25: 1132969/1152000
26: 45103/46080
27: 249129/256000
28: 6680117/6912000
29: 6625553/6912000
30: 6562007/6912000
31: 72097/76800
32: 71167/76800
33: 2103431/2304000
34: 2068001/2304000
35: 2028587/2304000
36: 1985101/2304000
37: 968753/1152000
38: 942911/1152000
39: 183013/230400
40: 885287/1152000
41: 1707361/2304000
42: 1640759/2304000
43: 1571093/2304000
44: 1498739/2304000
45: 237353/384000
46: 44923/76800
47: 1269947/2304000
48: 79427/153600
49: 74173/153600
50: 1034053/2304000
51: 31877/76800
52: 146647/384000
53: 805261/2304000
54: 732907/2304000
55: 663241/2304000
56: 596639/2304000
57: 266713/1152000
58: 47387/230400
59: 209089/1152000
60: 183247/1152000
61: 318899/2304000
62: 275413/2304000
63: 235999/2304000
64: 200569/2304000
65: 5633/76800
66: 4703/76800
67: 349993/6912000
68: 286447/6912000
69: 231883/6912000
70: 6871/256000
71: 977/46080
72: 19031/1152000
73: 87647/6912000
74: 13237/1382400
75: 49091/6912000
76: 35701/6912000
77: 12701/3456000
78: 8819/3456000
79: 5957/3456000
80: 3899/3456000
81: 4921/6912000
82: 119/276480
83: 1709/6912000
84: 923/6912000
85: 77/1152000
86: 7/230400
87: 7/576000
88: 7/1728000
89: 7/6912000
90: 1/6912000

Dice: [8, 12, 12, 20, 20, 20]
6: 1/1
7: 9215999/9216000
8: 9215993/9216000
9: 2303993/2304000
10: 767993/768000
11: 307193/307200
12: 1535923/1536000
13: 767923/768000
14: 767857/768000
15: 4606499/4608000
16: 1535167/1536000
17: 153467/153600
18: 2300927/2304000
19: 574853/576000
20: 287167/288000
21: 458911/460800
22: 50909/51200
23: 101609/102400
24: 4560491/4608000
25: 50507/51200
26: 754559/768000
27: 1001149/1024000
28: 2985713/3072000
29: 185293/192000
30: 110251/115200
31: 349367/368640
32: 1727077/1843200
33: 47349/51200
34: 699641/768000
35: 458519/512000
36: 449737/512000
37: 132019/153600
38: 644237/768000
39: 3919/4800
40: 50711/64000
41: 588761/768000
42: 37853/51200
43: 1091443/1536000
44: 348431/512000
45: 166231/256000
46: 473999/768000
47: 598287/1024000
48: 1692011/3072000
49: 39703/76800
50: 37097/76800
51: 1379989/3072000
52: 425713/1024000
53: 294001/768000
54: 89769/256000
55: 163569/512000
56: 444557/1536000
57: 13347/51200
58: 179239/768000
59: 13289/64000
60: 881/4800
61: 123763/768000
62: 21581/153600
63: 62263/512000
64: 53481/512000
65: 68359/768000
66: 3851/51200
67: 116123/1843200
68: 19273/368640
69: 4949/115200
70: 6707/192000
71: 86287/3072000
72: 22851/1024000
73: 13441/768000
74: 693/51200
75: 47509/4608000
76: 791/102400
77: 291/51200
78: 1889/460800
79: 833/288000
80: 1147/576000
81: 3073/2304000
82: 133/153600
83: 833/1536000
84: 1501/4608000
85: 143/768000
86: 77/768000
87: 77/1536000
88: 7/307200
89: 7/768000
90: 7/2304000
91: 7/9216000
92: 1/9216000

Dice: [12, 12, 12, 20, 20, 20]
6: 1/1
7: 13823999/13824000
8: 13823993/13824000
9: 3455993/3456000
10: 1151993/1152000
11: 460793/460800
12: 2303923/2304000
13: 1151923/1152000
14: 1151857/1152000
15: 4606999/4608000
16: 2763799/2764800
17: 1726999/1728000
18: 1726453/1728000
19: 4601813/4608000
20: 4598963/4608000
21: 1148777/1152000
22: 1147499/1152000
23: 4583339/4608000
24: 4574813/4608000
25: 855761/864000
26: 853253/864000
27: 6801391/6912000
28: 2257171/2304000
29: 561307/576000
30: 111553/115200
31: 276803/288000
32: 54877/57600
33: 543199/576000
34: 322103/345600
35: 6355657/6912000
36: 1251731/1382400
37: 64069/72000
38: 125651/144000
39: 1311187/1536000
40: 51181/61440
41: 311329/384000
42: 60431/76800
43: 1169533/1536000
44: 1128187/1536000
45: 406781/576000
46: 389783/576000
47: 82703/128000
48: 708041/1152000
49: 335461/576000
50: 105533/192000
51: 66123/128000
52: 61877/128000
53: 86467/192000
54: 240539/576000
55: 443959/1152000
56: 45297/128000
57: 186217/576000
58: 169219/576000
59: 407813/1536000
60: 366467/1536000
61: 16369/76800
62: 72671/384000
63: 10259/61440
64: 224813/1536000
65: 18349/144000
66: 7931/72000
67: 130669/1382400
68: 556343/6912000
69: 23497/345600
70: 32801/576000
71: 2723/57600
72: 11197/288000
73: 3647/115200
74: 14693/576000
75: 46829/2304000
76: 110609/6912000
77: 10747/864000
78: 8239/864000
79: 33187/4608000
80: 24661/4608000
81: 4501/1152000
82: 3223/1152000
83: 9037/4608000
84: 6187/4608000
85: 1547/1728000
86: 1001/1728000
87: 1001/2764800
88: 1001/4608000
89: 143/1152000
90: 77/1152000
91: 77/2304000
92: 7/460800
93: 7/1152000
94: 7/3456000
95: 7/13824000
96: 1/13824000

Dice: [4, 4, 20, 20, 20, 20]
6: 1/1
7: 2559999/2560000
8: 2559993/2560000
9: 639993/640000
10: 639979/640000
11: 159987/160000
12: 39993/40000
13: 639783/640000
14: 639613/640000
15: 319677/320000
16: 319489/320000
17: 638453/640000
18: 637743/640000
19: 79601/80000
20: 158901/160000
21: 634083/640000
22: 632193/640000
23: 314939/320000
24: 313539/320000
25: 623729/640000
26: 619763/640000
27: 615109/640000
28: 121939/128000
29: 603451/640000
30: 596313/640000
31: 294113/320000
32: 289573/320000
33: 569041/640000
34: 557891/640000
35: 68211/80000
36: 133109/160000
37: 518151/640000
38: 502861/640000
39: 243303/320000
40: 234719/320000
41: 451421/640000
42: 432631/640000
43: 103289/160000
44: 49137/80000
45: 372563/640000
46: 351681/640000
47: 661169/1280000
48: 618831/1280000
49: 288319/640000
50: 267437/640000
51: 30863/80000
52: 56711/160000
53: 207369/640000
54: 188579/640000
55: 85281/320000
56: 76697/320000
57: 137139/640000
58: 121849/640000
59: 26891/160000
60: 11789/80000
61: 82109/640000
62: 70959/640000
63: 30427/320000
64: 25887/320000
65: 43687/640000
66: 36549/640000
67: 6061/128000
68: 24891/640000
69: 20237/640000
70: 16271/640000
71: 6461/320000
72: 5061/320000
73: 7807/640000
74: 5917/640000
75: 1099/160000
76: 399/80000
77: 2257/640000
78: 1547/640000
79: 511/320000
80: 323/320000
81: 387/640000
82: 217/640000
83: 7/40000
84: 13/160000
85: 21/640000
86: 7/640000
87: 7/2560000
88: 1/2560000

Dice: [4, 6, 20, 20, 20, 20]
6: 1/1
7: 3839999/3840000
8: 3839993/3840000
9: 959993/960000
10: 319993/320000
11: 3839791/3840000
12: 767909/768000
13: 767821/768000
14: 30707/30720
15: 767447/768000
16: 3835541/3840000
17: 6133/6144
18: 765959/768000
19: 765067/768000
20: 763901/768000
21: 3812041/3840000
22: 760531/768000
23: 758207/768000
24: 755369/768000
25: 150389/153600
26: 3739291/3840000
27: 3715139/3840000
28: 1228951/1280000
29: 3654017/3840000
30: 3616231/3840000
31: 3573127/3840000
32: 234959/256000
33: 693949/768000
34: 681803/768000
35: 44561/51200
36: 3268877/3840000
37: 637889/768000
38: 8277/10240
39: 602467/768000
40: 583013/768000
41: 937459/1280000
42: 540931/768000
43: 518471/768000
44: 165067/256000
45: 471241/768000
46: 2233627/3840000
47: 703003/1280000
48: 1983143/3840000
49: 1856857/3840000
50: 576997/1280000
51: 1606373/3840000
52: 296759/768000
53: 90933/256000
54: 249529/768000
55: 227069/768000
56: 342541/1280000
57: 184987/768000
58: 165533/768000
59: 1963/10240
60: 130111/768000
61: 571123/3840000
62: 6639/51200
63: 86197/768000
64: 74051/768000
65: 21041/256000
66: 266873/3840000
67: 223769/3840000
68: 185983/3840000
69: 51049/1280000
70: 124861/3840000
71: 100709/3840000
72: 3211/153600
73: 12631/768000
74: 9793/768000
75: 7469/768000
76: 27959/3840000
77: 4099/768000
78: 2933/768000
79: 2041/768000
80: 11/6144
81: 4459/3840000
82: 553/768000
83: 13/30720
84: 179/768000
85: 91/768000
86: 209/3840000
87: 7/320000
88: 7/960000
89: 7/3840000
90: 1/3840000

Dice: [6, 6, 20, 20, 20, 20]
6: 1/1
7: 5759999/5760000
8: 5759993/5760000
9: 1439993/1440000
10: 479993/480000
11: 191993/192000
12: 959923/960000
13: 2879539/2880000
14: 2879149/2880000
15: 5757053/5760000
16: 5755163/5760000
17: 1438103/1440000
18: 1437137/1440000
19: 5743283/5760000
20: 5736293/5760000
21: 2863609/2880000
22: 2857831/2880000
23: 5701193/5760000
24: 5683343/5760000
25: 707701/720000
26: 704431/720000
27: 622699/640000
28: 1855847/1920000
29: 184153/192000
30: 2737417/2880000
31: 5417693/5760000
32: 1070527/1152000
33: 439933/480000
34: 144361/160000
35: 1701917/1920000
36: 1668427/1920000
37: 271973/320000
38: 796081/960000
39: 1549447/1920000
40: 501259/640000
41: 181909/240000
42: 175511/240000
43: 450139/640000
44: 1294487/1920000
45: 618281/960000
46: 196157/320000
47: 371987/640000
48: 1053983/1920000
49: 247849/480000
50: 232151/480000
51: 866017/1920000
52: 268013/640000
53: 123843/320000
54: 341719/960000
55: 625513/1920000
56: 189861/640000
57: 64489/240000
58: 58091/240000
59: 138741/640000
60: 370553/1920000
61: 163919/960000
62: 48027/320000
63: 251573/1920000
64: 218083/1920000
65: 15639/160000
66: 40067/480000
67: 81473/1152000
68: 342307/5760000
69: 142583/2880000
70: 7847/192000
71: 64153/1920000
72: 17301/640000
73: 15569/720000
74: 12299/720000
75: 76657/5760000
76: 58807/5760000
77: 22169/2880000
78: 16391/2880000
79: 23707/5760000
80: 16717/5760000
81: 2863/1440000
82: 1897/1440000
83: 4837/5760000
84: 2947/5760000
85: 851/2880000
86: 461/2880000
87: 77/960000
88: 7/192000
89: 7/480000
90: 7/1440000
91: 7/5760000
92: 1/5760000

Dice: [4, 8, 20, 20, 20, 20]
6: 1/1
7: 5119999/5120000
8: 5119993/5120000
9: 1279993/1280000
10: 1279979/1280000
11: 5119791/5120000
12: 1023909/1024000
13: 39993/40000
14: 159949/160000
15: 639651/640000
16: 639433/640000
17: 319559/320000
18: 319339/320000
19: 638081/640000
20: 637291/640000
21: 159067/160000
22: 79371/80000
23: 633343/640000
24: 631341/640000
25: 314453/320000
26: 312989/320000
27: 1244987/1280000
28: 1236773/1280000
29: 61359/64000
30: 304019/320000
31: 240667/256000
32: 1188841/1280000
33: 293123/320000
34: 288551/320000
35: 566957/640000
36: 555791/640000
37: 135899/160000
38: 66297/80000
39: 516147/640000
40: 500937/640000
41: 242393/320000
42: 233873/320000
43: 449881/640000
44: 431267/640000
45: 51499/80000
46: 98039/160000
47: 1487481/2560000
48: 1405023/2560000
49: 330441/640000
50: 309559/640000
51: 1154977/2560000
52: 1072519/2560000
53: 61961/160000
54: 28501/80000
55: 208733/640000
56: 190119/640000
57: 86127/320000
58: 77607/320000
59: 139063/640000
60: 123853/640000
61: 13703/80000
62: 24101/160000
63: 84209/640000
64: 73043/640000
65: 31449/320000
66: 26877/320000
67: 91159/1280000
68: 15333/256000
69: 15981/320000
70: 2641/64000
71: 43227/1280000
72: 35013/1280000
73: 7011/320000
74: 5547/320000
75: 8659/640000
76: 6657/640000
77: 629/80000
78: 933/160000
79: 2709/640000
80: 1919/640000
81: 661/320000
82: 441/320000
83: 567/640000
84: 349/640000
85: 51/160000
86: 7/40000
87: 91/1024000
88: 209/5120000
89: 21/1280000
90: 7/1280000
91: 7/5120000
92: 1/5120000

Dice: [6, 8, 20, 20, 20, 20]
6: 1/1
7: 7679999/7680000
8: 7679993/7680000
9: 1919993/1920000
10: 639993/640000
11: 255993/256000
12: 1279923/1280000
13: 7679077/7680000
14: 7678291/7680000
15: 3838513/3840000
16: 1279181/1280000
17: 255741/256000
18: 766817/768000
19: 255419/256000
20: 1275841/1280000
21: 3822583/3840000
22: 50883/51200
23: 253879/256000
24: 151927/153600
25: 1261961/1280000
26: 1256991/1280000
27: 1251029/1280000
28: 3731849/3840000
29: 3706871/3840000
30: 3677761/3840000
31: 1214711/1280000
32: 1201873/1280000
33: 3561881/3840000
34: 3512623/3840000
35: 3457601/3840000
36: 3396631/3840000
37: 221973/256000
38: 651289/768000
39: 635441/768000
40: 1030657/1280000
41: 3000911/3840000
42: 580853/768000
43: 186823/256000
44: 539107/768000
45: 2584291/3840000
46: 823047/1280000
47: 1175341/1920000
48: 1114787/1920000
49: 702177/1280000
50: 1982309/3840000
51: 1857691/3840000
52: 577823/1280000
53: 805213/1920000
54: 744659/1920000
55: 456953/1280000
56: 1255709/3840000
57: 228893/768000
58: 69177/256000
59: 187147/768000
60: 839089/3840000
61: 249343/1280000
62: 132559/768000
63: 116711/768000
64: 34027/256000
65: 443369/3840000
66: 382399/3840000
67: 327377/3840000
68: 278119/3840000
69: 78127/1280000
70: 65289/1280000
71: 162239/3840000
72: 133129/3840000
73: 108151/3840000
74: 28971/1280000
75: 23009/1280000
76: 18039/1280000
77: 1673/153600
78: 2121/256000
79: 317/51200
80: 17417/3840000
81: 4159/1280000
82: 581/256000
83: 1183/768000
84: 259/256000
85: 819/1280000
86: 1487/3840000
87: 1709/7680000
88: 923/7680000
89: 77/1280000
90: 7/256000
91: 7/640000
92: 7/1920000
93: 7/7680000
94: 1/7680000

Dice: [8, 8, 20, 20, 20, 20]
6: 1/1
7: 10239999/10240000
8: 10239993/10240000
9: 2559993/2560000
10: 2559979/2560000
11: 1023979/1024000
12: 5119769/5120000
13: 2559769/2560000
14: 2559571/2560000
15: 10236999/10240000
16: 10235009/10240000
17: 639503/640000
18: 639237/640000
19: 319433/320000
20: 319181/320000
21: 637693/640000
22: 636823/640000
23: 9933/10000
24: 158579/160000
25: 632587/640000
26: 630473/640000
27: 2511673/2560000
28: 499891/512000
29: 9707/10000
30: 38563/40000
31: 1224161/1280000
32: 1212807/1280000
33: 299959/320000
34: 59257/64000
35: 2337249/2560000
36: 2300423/2560000
37: 564921/640000
38: 553739/640000
39: 33847/40000
40: 132091/160000
41: 514191/640000
42: 499061/640000
43: 241507/320000
44: 233051/320000
45: 448389/640000
46: 429951/640000
47: 657401/1024000
48: 3130091/5120000
49: 742433/1280000
50: 140343/256000
51: 1321229/2560000
52: 1238771/2560000
53: 115657/256000
54: 537567/1280000
55: 1989909/5120000
56: 366599/1024000
57: 210049/640000
58: 191611/640000
59: 86949/320000
60: 78493/320000
61: 140939/640000
62: 125809/640000
63: 27909/160000
64: 6153/40000
65: 86261/640000
66: 75079/640000
67: 259577/2560000
68: 222751/2560000
69: 4743/64000
70: 20041/320000
71: 67193/1280000
72: 55839/1280000
73: 1437/40000
74: 293/10000
75: 12109/512000
76: 48327/2560000
77: 9527/640000
78: 7413/640000
79: 1421/160000
80: 67/10000
81: 3177/640000
82: 2307/640000
83: 819/320000
84: 567/320000
85: 763/640000
86: 497/640000
87: 4991/10240000
88: 3001/10240000
89: 429/2560000
90: 231/2560000
91: 231/5120000
92: 21/1024000
93: 21/2560000
94: 7/2560000
95: 7/10240000
96: 1/10240000

Dice: [4, 12, 20, 20, 20, 20]
6: 1/1
7: 7679999/7680000
8: 7679993/7680000
9: 1919993/1920000
10: 639993/640000
11: 7679791/7680000
12: 1535909/1536000
13: 59993/60000
14: 79983/80000
15: 2559069/2560000
16: 7675457/7680000
17: 1918229/1920000
18: 383467/384000
19: 191611/192000
20: 191447/192000
21: 1912319/1920000
22: 1909549/1920000
23: 47651/48000
24: 95083/96000
25: 379253/384000
26: 1889699/1920000
27: 125453/128000
28: 1872377/1920000
29: 620421/640000
30: 1848269/1920000
31: 611071/640000
32: 1815919/1920000
33: 1796221/1920000
34: 1773967/1920000
35: 1749023/1920000
36: 573759/640000
37: 1690643/1920000
38: 110471/128000
39: 40513/48000
40: 79051/96000
41: 512871/640000
42: 1493383/1920000
43: 28909/38400
44: 46499/64000
45: 268427/384000
46: 1287173/1920000
47: 820231/1280000
48: 2343899/3840000
49: 1112303/1920000
50: 350583/640000
51: 1981289/3840000
52: 1858711/3840000
53: 289417/640000
54: 807697/1920000
55: 1496101/3840000
56: 459769/1280000
57: 632827/1920000
58: 115573/384000
59: 17501/64000
60: 9491/38400
61: 426617/1920000
62: 127129/640000
63: 16949/96000
64: 7487/48000
65: 17529/128000
66: 229357/1920000
67: 66241/640000
68: 170977/1920000
69: 146033/1920000
70: 123779/1920000
71: 104081/1920000
72: 28929/640000
73: 71731/1920000
74: 19579/640000
75: 47623/1920000
76: 2547/128000
77: 30301/1920000
78: 4747/384000
79: 917/96000
80: 349/48000
81: 10451/1920000
82: 7681/1920000
83: 553/192000
84: 389/192000
85: 533/384000
86: 1771/1920000
87: 4543/7680000
88: 931/2560000
89: 17/80000
90: 7/60000
91: 91/1536000
92: 209/7680000
93: 7/640000
94: 7/1920000
95: 7/7680000
96: 1/7680000

Dice: [6, 12, 20, 20, 20, 20]
6: 1/1
7: 11519999/11520000
8: 11519993/11520000
9: 2879993/2880000
10: 959993/960000
11: 383993/384000
12: 1919923/1920000
13: 11519077/11520000
14: 11518291/11520000
15: 460681/460800
16: 11515079/11520000
17: 5756101/5760000
18: 5754043/5760000
19: 11502361/11520000
20: 11494591/11520000
21: 11484271/11520000
22: 458833/460800
23: 2290721/2304000
24: 11431891/11520000
25: 11404891/11520000
26: 11371741/11520000
27: 11331509/11520000
28: 11283203/11520000
29: 11225783/11520000
30: 11158177/11520000
31: 11079301/11520000
32: 10988083/11520000
33: 3627829/3840000
34: 3588179/3840000
35: 1181149/1280000
36: 2096023/2304000
37: 10313207/11520000
38: 10129121/11520000
39: 3309179/3840000
40: 1078703/1280000
41: 3157189/3840000
42: 614503/768000
43: 198817/256000
44: 2886649/3840000
45: 2786009/3840000
46: 893573/1280000
47: 2571233/3840000
48: 819357/1280000
49: 2341813/3840000
50: 2223091/3840000
51: 2102579/3840000
52: 660327/1280000
53: 619673/1280000
54: 1737421/3840000
55: 1616909/3840000
56: 1498187/3840000
57: 460643/1280000
58: 1268767/3840000
59: 386427/1280000
60: 1053991/3840000
61: 953351/3840000
62: 57183/256000
63: 153497/768000
64: 682811/3840000
65: 201297/1280000
66: 530821/3840000
67: 1390879/11520000
68: 1206793/11520000
69: 207977/2304000
70: 98851/1280000
71: 251821/3840000
72: 212171/3840000
73: 531917/11520000
74: 440699/11520000
75: 361823/11520000
76: 294217/11520000
77: 236797/11520000
78: 188491/11520000
79: 148259/11520000
80: 115109/11520000
81: 88109/11520000
82: 13279/2304000
83: 1967/460800
84: 35729/11520000
85: 25409/11520000
86: 17639/11520000
87: 5957/5760000
88: 3899/5760000
89: 4921/11520000
90: 119/460800
91: 1709/11520000
92: 923/11520000
93: 77/1920000
94: 7/384000
95: 7/960000
96: 7/2880000
97: 7/11520000
98: 1/11520000

Dice: [8, 12, 20, 20, 20, 20]
6: 1/1
7: 15359999/15360000
8: 15359993/15360000
9: 3839993/3840000
10: 1279993/1280000
11: 511993/512000
12: 2559923/2560000
13: 1279923/1280000
14: 1279857/1280000
15: 7678499/7680000
16: 2559167/2560000
17: 255867/256000
18: 3836927/3840000
19: 15341647/15360000
20: 15333337/15360000
21: 957637/960000
22: 318907/320000
23: 25481/25600
24: 381613/384000
25: 158691/160000
26: 79151/80000
27: 757567/768000
28: 3774037/3840000
29: 469691/480000
30: 233623/240000
31: 19349/20000
32: 153679/160000
33: 914371/960000
34: 301853/320000
35: 895559/960000
36: 884299/960000
37: 72643/80000
38: 428879/480000
39: 1123181/1280000
40: 3302297/3840000
41: 403657/480000
42: 196903/240000
43: 102199/128000
44: 297599/384000
45: 720187/960000
46: 231713/320000
47: 5351593/7680000
48: 5133839/7680000
49: 409073/640000
50: 1169461/1920000
51: 2220991/3840000
52: 140087/256000
53: 990277/1920000
54: 929723/1920000
55: 115913/256000
56: 1619009/3840000
57: 750539/1920000
58: 230927/640000
59: 2546161/7680000
60: 2328407/7680000
61: 88287/320000
62: 239813/960000
63: 86401/384000
64: 25801/128000
65: 43097/240000
66: 76343/480000
67: 537703/3840000
68: 156819/1280000
69: 51121/480000
70: 7357/80000
71: 75701/960000
72: 64441/960000
73: 18147/320000
74: 45629/960000
75: 6321/160000
76: 651/20000
77: 6377/240000
78: 10309/480000
79: 65963/3840000
80: 10433/768000
81: 849/80000
82: 1309/160000
83: 2387/384000
84: 119/25600
85: 1093/320000
86: 2363/960000
87: 26663/15360000
88: 18353/15360000
89: 3073/3840000
90: 133/256000
91: 833/2560000
92: 1501/7680000
93: 143/1280000
94: 77/1280000
95: 77/2560000
96: 7/512000
97: 7/1280000
98: 7/3840000
99: 7/15360000
100: 1/15360000

Dice: [12, 12, 20, 20, 20, 20]
6: 1/1
7: 23039999/23040000
8: 23039993/23040000
9: 5759993/5760000
10: 1919993/1920000
11: 767993/768000
12: 3839923/3840000
13: 1919923/1920000
14: 1919857/1920000
15: 7678999/7680000
16: 4606999/4608000
17: 2878999/2880000
18: 2878453/2880000
19: 11510719/11520000
20: 11506441/11520000
21: 1437581/1440000
22: 478873/480000
23: 7655269/7680000
24: 7646659/7680000
25: 5726813/5760000
26: 5716583/5760000
27: 380263/384000
28: 1896169/1920000
29: 629983/640000
30: 5647517/5760000
31: 702631/720000
32: 1397489/1440000
33: 5553749/5760000
34: 1102387/1152000
35: 5464031/5760000
36: 1803191/1920000
37: 1782709/1920000
38: 586589/640000
39: 144521/160000
40: 213259/240000
41: 1675159/1920000
42: 984883/1152000
43: 4814993/5760000
44: 4697267/5760000
45: 1523797/1920000
46: 493069/640000
47: 954737/1280000
48: 2765293/3840000
49: 1331017/1920000
50: 255487/384000
51: 1222147/1920000
52: 15539/25600
53: 1107563/1920000
54: 1048873/1920000
55: 659787/1280000
56: 620213/1280000
57: 871127/1920000
58: 812437/1920000
59: 10061/25600
60: 697853/1920000
61: 128513/384000
62: 588983/1920000
63: 1074707/3840000
64: 325263/1280000
65: 146931/640000
66: 396203/1920000
67: 1062733/5760000
68: 945007/5760000
69: 167117/1152000
70: 244841/1920000
71: 26741/240000
72: 15479/160000
73: 53411/640000
74: 137291/1920000
75: 116809/1920000
76: 295969/5760000
77: 49613/1152000
78: 206251/5760000
79: 42511/1440000
80: 17369/720000
81: 112483/5760000
82: 10017/640000
83: 23831/1920000
84: 3737/384000
85: 43417/5760000
86: 33187/5760000
87: 33341/7680000
88: 24731/7680000
89: 1127/480000
90: 2419/1440000
91: 13559/11520000
92: 9281/11520000
93: 1547/2880000
94: 1001/2880000
95: 1001/4608000
96: 1001/7680000
97: 143/1920000
98: 77/1920000
99: 77/3840000
100: 7/768000
101: 7/1920000
102: 7/5760000
103: 7/23040000
104: 1/23040000

Dice: [4, 20, 20, 20, 20, 20]
6: 1/1
7: 12799999/12800000
8: 12799993/12800000
9: 3199993/3200000
10: 3199979/3200000
11: 12799791/12800000
12: 2559909/2560000
13: 99993/100000
14: 399949/400000
15: 12797207/12800000
16: 12795457/12800000
17: 3198229/3200000
18: 639467/640000
19: 12784439/12800000
20: 12777873/12800000
21: 399039/400000
22: 398691/400000
23: 12743951/12800000
24: 2545237/2560000
25: 3176041/3200000
26: 3169291/3200000
27: 3161097/3200000
28: 3151243/3200000
29: 3139499/3200000
30: 5001/5120
31: 995/1024
32: 3090501/3200000
33: 3068757/3200000
34: 3043903/3200000
35: 3015709/3200000
36: 2983959/3200000
37: 589691/640000
38: 2909021/3200000
39: 2865507/3200000
40: 2817793/3200000
41: 2765793/3200000
42: 2709459/3200000
43: 529757/640000
44: 2583811/3200000
45: 2514627/3200000
46: 2441377/3200000
47: 4728521/6400000
48: 4567063/6400000
49: 439899/640000
50: 2112501/3200000
51: 4045877/6400000
52: 3862459/6400000
53: 1837823/3200000
54: 1743189/3200000
55: 5273/10240
56: 4967/10240
57: 1456811/3200000
58: 1362177/3200000
59: 2537541/6400000
60: 2354123/6400000
61: 1087499/3200000
62: 200101/640000
63: 1832937/6400000
64: 1671479/6400000
65: 758623/3200000
66: 685373/3200000
67: 616189/3200000
68: 110243/640000
69: 490541/3200000
70: 434207/3200000
71: 382207/3200000
72: 334493/3200000
73: 290979/3200000
74: 50309/640000
75: 216041/3200000
76: 184291/3200000
77: 156097/3200000
78: 131243/3200000
79: 109499/3200000
80: 29/1024
81: 119/5120
82: 60501/3200000
83: 48757/3200000
84: 38903/3200000
85: 30709/3200000
86: 23959/3200000
87: 14763/2560000
88: 56049/12800000
89: 1309/400000
90: 961/400000
91: 22127/12800000
92: 15561/12800000
93: 533/640000
94: 1771/3200000
95: 4543/12800000
96: 2793/12800000
97: 51/400000
98: 7/100000
99: 91/2560000
100: 209/12800000
101: 21/3200000
102: 7/3200000
103: 7/12800000
104: 1/12800000

Dice: [6, 20, 20, 20, 20, 20]
6: 1/1
7: 19199999/19200000
8: 19199993/19200000
9: 4799993/4800000
10: 1599993/1600000
11: 639993/640000
12: 3199923/3200000
13: 19199077/19200000
14: 19198291/19200000
15: 767881/768000
16: 19195079/19200000
17: 9596101/9600000
18: 9594043/9600000
19: 159853/160000
20: 798941/800000
21: 6388081/6400000
22: 19150741/19200000
23: 3826679/3840000
24: 19111429/19200000
25: 298187/300000
26: 1190627/1200000
27: 3801707/3840000
28: 18958289/19200000
29: 18898013/19200000
30: 6275449/6400000
31: 18741871/19200000
32: 18643129/19200000
33: 18528653/19200000
34: 6132329/6400000
35: 6082237/6400000
36: 3615293/3840000
37: 17884973/19200000
38: 17671067/19200000
39: 5811237/6400000
40: 686881/768000
41: 16885309/19200000
42: 16573067/19200000
43: 5411677/6400000
44: 1058079/1280000
45: 15481789/19200000
46: 15067403/19200000
47: 14628901/19200000
48: 566699/768000
49: 4561543/6400000
50: 13182163/19200000
51: 12662147/19200000
52: 808459/1280000
53: 11578879/19200000
54: 11020793/19200000
55: 3485139/6400000
56: 9885631/19200000
57: 9314369/19200000
58: 2914861/6400000
59: 8179207/19200000
60: 7621121/19200000
61: 471541/1280000
62: 6537853/19200000
63: 6017837/19200000
64: 1838457/6400000
65: 201301/768000
66: 4571099/19200000
67: 4132597/19200000
68: 3718211/19200000
69: 221921/1280000
70: 988323/6400000
71: 2626933/19200000
72: 2314691/19200000
73: 81119/768000
74: 588763/6400000
75: 1528933/19200000
76: 1315027/19200000
77: 224707/3840000
78: 317763/6400000
79: 267671/6400000
80: 671347/19200000
81: 556871/19200000
82: 458129/19200000
83: 124551/6400000
84: 301987/19200000
85: 241711/19200000
86: 38293/3840000
87: 9373/1200000
88: 1813/300000
89: 88571/19200000
90: 13321/3840000
91: 49259/19200000
92: 11919/6400000
93: 1059/800000
94: 147/160000
95: 5957/9600000
96: 3899/9600000
97: 4921/19200000
98: 119/768000
99: 1709/19200000
100: 923/19200000
101: 77/3200000
102: 7/640000
103: 7/1600000
104: 7/4800000
105: 7/19200000
106: 1/19200000

Dice: [8, 20, 20, 20, 20, 20]
6: 1/1
7: 25599999/25600000
8: 25599993/25600000
9: 6399993/6400000
10: 6399979/6400000
11: 2559979/2560000
12: 12799769/12800000
13: 6399769/6400000
14: 6399571/6400000
15: 12798499/12800000
16: 12797501/12800000
17: 1279601/1280000
18: 6396927/6400000
19: 12790823/12800000
20: 2557333/2560000
21: 6390541/6400000
22: 6386863/6400000
23: 2552839/2560000
24: 12752029/12800000
25: 6368353/6400000
26: 6358819/6400000
27: 25388339/25600000
28: 25331157/25600000
29: 315777/320000
30: 1573729/1600000
31: 783809/800000
32: 390109/400000
33: 24251/25000
34: 771191/800000
35: 1531271/1600000
36: 303723/320000
37: 1504303/1600000
38: 1488231/1600000
39: 45947/50000
40: 725219/800000
41: 714281/800000
42: 70231/80000
43: 1378573/1600000
44: 1350401/1600000
45: 264021/320000
46: 1287709/1600000
47: 10026091/12800000
48: 1946937/2560000
49: 2357061/3200000
50: 2276939/3200000
51: 4387199/6400000
52: 4214761/6400000
53: 2018659/3200000
54: 385569/640000
55: 3670751/6400000
56: 3483417/6400000
57: 1647317/3200000
58: 1552683/3200000
59: 2916583/6400000
60: 2729249/6400000
61: 254431/640000
62: 1181341/3200000
63: 2185239/6400000
64: 2012801/6400000
65: 923061/3200000
66: 842939/3200000
67: 613063/2560000
68: 2773909/12800000
69: 312291/1600000
70: 55979/320000
71: 249599/1600000
72: 221427/1600000
73: 9769/80000
74: 85719/800000
75: 74781/800000
76: 4053/50000
77: 111769/1600000
78: 95697/1600000
79: 16277/320000
80: 68729/1600000
81: 28809/800000
82: 749/25000
83: 9891/400000
84: 16191/800000
85: 26271/1600000
86: 4223/320000
87: 268843/25600000
88: 211661/25600000
89: 41181/6400000
90: 31647/6400000
91: 47971/12800000
92: 7161/2560000
93: 13137/6400000
94: 9459/6400000
95: 2667/2560000
96: 9177/12800000
97: 3073/6400000
98: 399/1280000
99: 2499/12800000
100: 1501/12800000
101: 429/6400000
102: 231/6400000
103: 231/12800000
104: 21/2560000
105: 21/6400000
106: 7/6400000
107: 7/25600000
108: 1/25600000

Dice: [12, 20, 20, 20, 20, 20]
6: 1/1
7: 38399999/38400000
8: 38399993/38400000
9: 9599993/9600000
10: 3199993/3200000
11: 1279993/1280000
12: 6399923/6400000
13: 3199923/3200000
14: 3199857/3200000
15: 12798999/12800000
16: 7678999/7680000
17: 4798999/4800000
18: 4798453/4800000
19: 38381437/38400000
20: 306983/307200
21: 9590317/9600000
22: 639097/640000
23: 12775199/12800000
24: 2553301/2560000
25: 4783291/4800000
26: 4778077/4800000
27: 19086389/19200000
28: 1270301/1280000
29: 792321/800000
30: 2371111/2400000
31: 12608613/12800000
32: 12564387/12800000
33: 3128099/3200000
34: 9338819/9600000
35: 9286181/9600000
36: 9225703/9600000
37: 3052237/3200000
38: 3026183/3200000
39: 8990591/9600000
40: 8892253/9600000
41: 1756601/1920000
42: 2887461/3200000
43: 8530001/9600000
44: 8385563/9600000
45: 65831/76800
46: 2686619/3200000
47: 3151421/3840000
48: 15370271/19200000
49: 498661/640000
50: 7263337/9600000
51: 146583/200000
52: 1699643/2400000
53: 1310389/1920000
54: 6297067/9600000
55: 4023341/6400000
56: 11533897/19200000
57: 5494129/9600000
58: 1739289/3200000
59: 9879043/19200000
60: 9320957/19200000
61: 1460711/3200000
62: 4105871/9600000
63: 7666103/19200000
64: 2376659/6400000
65: 3302933/9600000
66: 609611/1920000
67: 700357/2400000
68: 53417/200000
69: 2336663/9600000
70: 141339/640000
71: 3829729/19200000
72: 688579/3840000
73: 513381/3200000
74: 10969/76800
75: 1214437/9600000
76: 1069999/9600000
77: 312539/3200000
78: 163399/1920000
79: 707747/9600000
80: 609409/9600000
81: 173817/3200000
82: 147763/3200000
83: 374297/9600000
84: 313819/9600000
85: 261181/9600000
86: 71901/3200000
87: 235613/12800000
88: 191387/12800000
89: 28889/2400000
90: 7679/800000
91: 9699/1280000
92: 113611/19200000
93: 21923/4800000
94: 16709/4800000
95: 6699/2560000
96: 24801/12800000
97: 903/640000
98: 9683/9600000
99: 217/307200
100: 18563/38400000
101: 1547/4800000
102: 1001/4800000
103: 1001/7680000
104: 1001/12800000
105: 143/3200000
106: 77/3200000
107: 77/6400000
108: 7/1280000
109: 7/3200000
110: 7/9600000
111: 7/38400000
112: 1/38400000

Dice: [20, 20, 20, 20, 20, 20]
6: 1/1
7: 63999999/64000000
8: 63999993/64000000
9: 15999993/16000000
10: 15999979/16000000
11: 6399979/6400000
12: 31999769/32000000
13: 15999769/16000000
14: 15999571/16000000
15: 63996997/64000000
16: 12798999/12800000
17: 7998999/8000000
18: 7998453/8000000
19: 15995359/16000000
20: 15993217/16000000
21: 1599031/1600000
22: 7993217/8000000
23: 63925387/64000000
24: 63899053/64000000
25: 15966351/16000000
26: 638229/640000
27: 3985611/4000000
28: 1990751/2000000
29: 15905857/16000000
30: 15881371/16000000
31: 12681497/12800000
32: 63266491/64000000
33: 7887419/8000000
34: 7862841/8000000
35: 31336557/32000000
36: 6240687/6400000
37: 1940633/2000000
38: 1929671/2000000
39: 61350703/64000000
40: 60900169/64000000
41: 3019709/3200000
42: 14957299/16000000
43: 14800473/16000000
44: 14627307/16000000
45: 14437131/16000000
46: 2845877/3200000
47: 28007273/32000000
48: 27519191/32000000
49: 13497127/16000000
50: 13216261/16000000
51: 32293/40000
52: 3150081/4000000
53: 12266193/16000000
54: 11915547/16000000
55: 23098607/32000000
56: 4467421/6400000
57: 10774549/16000000
58: 10368703/16000000
59: 9952567/16000000
60: 9527821/16000000
61: 1819251/3200000
62: 8659749/16000000
63: 16440501/32000000
64: 15559499/32000000
65: 7340251/16000000
66: 1380749/3200000
67: 6472179/16000000
68: 6047433/16000000
69: 5631297/16000000
70: 5225451/16000000
71: 1932579/6400000
72: 8901393/32000000
73: 4084453/16000000
74: 3733807/16000000
75: 849919/4000000
76: 7707/40000
77: 2783739/16000000
78: 2502873/16000000
79: 4480809/32000000
80: 3992727/32000000
81: 354123/3200000
82: 1562869/16000000
83: 1372693/16000000
84: 1199527/16000000
85: 1042701/16000000
86: 180291/3200000
87: 3099831/64000000
88: 2649297/64000000
89: 70329/2000000
90: 59367/2000000
91: 159313/6400000
92: 663443/32000000
93: 137159/8000000
94: 112581/8000000
95: 733509/64000000
96: 118503/12800000
97: 118629/16000000
98: 94143/16000000
99: 9249/2000000
100: 14389/4000000
101: 1771/640000
102: 33649/16000000
103: 100947/64000000
104: 74613/64000000
105: 6783/8000000
106: 969/1600000
107: 6783/16000000
108: 4641/16000000
109: 1547/8000000
110: 1001/8000000
111: 1001/12800000
112: 3003/64000000
113: 429/16000000
114: 231/16000000
115: 231/32000000
116: 21/6400000
117: 21/16000000
118: 7/16000000
119: 7/64000000
120: 1/64000000

Dice: [4, 4, 4, 4, 4, 4, 4]
7: 1/1
8: 16383/16384
9: 2047/2048
10: 4087/4096
11: 2033/2048
12: 16061/16384
13: 489/512
14: 1865/2048
15: 431/512
16: 6119/8192
17: 645/1024
18: 1/2
19: 379/1024
20: 2073/8192
21: 81/512
22: 183/2048
23: 23/512
24: 323/16384
25: 15/2048
26: 9/4096
27: 1/2048
28: 1/16384

Dice: [4, 4, 4, 4, 4, 4, 6]
7: 1/1
8: 24575/24576
9: 3071/3072
10: 2045/2048
11: 1019/1024
12: 2021/2048
13: 993/1024
14: 23077/24576
15: 1367/1536
16: 3357/4096
17: 559/768
18: 1901/3072
19: 1/2
20: 1171/3072
21: 209/768
22: 739/4096
23: 169/1536
24: 1499/24576
25: 31/1024
26: 27/2048
27: 5/1024
28: 3/2048
29: 1/3072
30: 1/24576

Dice: [4, 4, 4, 4, 4, 6, 6]
7: 1/1
8: 36863/36864
9: 4607/4608
10: 1023/1024
11: 1531/1536
12: 36539/36864
13: 2257/2304
14: 17665/18432
15: 133/144
16: 32141/36864
17: 1231/1536
18: 4381/6144
19: 2813/4608
20: 1/2
21: 1795/4608
22: 1763/6144
23: 305/1536
24: 4723/36864
25: 11/144
26: 767/18432
27: 47/2304
28: 325/36864
29: 5/1536
30: 1/1024
31: 1/4608
32: 1/36864

Dice: [4, 4, 4, 4, 6, 6, 6]
7: 1/1
8: 55295/55296
9: 6911/6912
10: 1535/1536
11: 2299/2304
12: 27485/27648
13: 6817/6912
14: 17909/18432
15: 1091/1152
16: 5587/6144
17: 5917/6912
18: 21737/27648
19: 1615/2304
20: 33385/55296
21: 1/2
22: 21911/55296
23: 689/2304
24: 5911/27648
25: 995/6912
26: 557/6144
27: 61/1152
28: 523/18432
29: 95/6912
30: 163/27648
31: 5/2304
32: 1/1536
33: 1/6912
34: 1/55296

Dice: [4, 4, 4, 6, 6, 6, 6]
7: 1/1
8: 82943/82944
9: 10367/10368
10: 2303/2304
11: 3451/3456
12: 27539/27648
13: 107/108
14: 20335/20736
15: 2497/2592
16: 3235/3456
17: 2323/2592
18: 17461/20736
19: 167/216
20: 28649/41472
21: 3101/5184
22: 1/2
23: 2083/5184
24: 12823/41472
25: 49/216
26: 3275/20736
27: 269/2592
28: 221/3456
29: 95/2592
30: 401/20736
31: 1/108
32: 109/27648
33: 5/3456
34: 1/2304
35: 1/10368
36: 1/82944

Dice: [4, 4, 6, 6, 6, 6, 6]
7: 1/1
8: 124415/124416
9: 15551/15552
10: 3455/3456
11: 5179/5184
12: 15511/15552
13: 15455/15552
14: 122777/124416
15: 7579/7776
16: 29705/31104
17: 2399/2592
18: 9167/10368
19: 6451/7776
20: 47389/62208
21: 221/324
22: 2051/3456
23: 1/2
24: 1405/3456
25: 103/324
26: 14819/62208
27: 1325/7776
28: 1201/10368
29: 193/2592
30: 1399/31104
31: 197/7776
32: 1639/124416
33: 97/15552
34: 41/15552
35: 5/5184
36: 1/3456
37: 1/15552
38: 1/124416

Dice: [4, 6, 6, 6, 6, 6, 6]
7: 1/1
8: 186623/186624
9: 23327/23328
10: 5183/5184
11: 7771/7776
12: 186295/186624
13: 11615/11664
14: 3425/3456
15: 955/972
16: 60245/62208
17: 22087/23328
18: 85433/93312
19: 2263/2592
20: 1591/1944
21: 17537/23328
22: 62941/93312
23: 4583/7776
24: 1/2
25: 3193/7776
26: 30371/93312
27: 5791/23328
28: 353/1944
29: 329/2592
30: 7879/93312
31: 1241/23328
32: 1963/62208
33: 17/972
34: 31/3456
35: 49/11664
36: 329/186624
37: 5/7776
38: 1/5184
39: 1/23328
40: 1/186624

Dice: [6, 6, 6, 6, 6, 6, 6]
7: 1/1
8: 279935/279936
9: 34991/34992
10: 7775/7776
11: 11659/11664
12: 46601/46656
13: 3877/3888
14: 278227/279936
15: 17285/17496
16: 10139/10368
17: 33667/34992
18: 131399/139968
19: 3523/3888
20: 80513/93312
21: 2357/2916
22: 23105/31104
23: 23369/34992
24: 163985/279936
25: 1/2
26: 115951/279936
27: 11623/34992
28: 7999/31104
29: 559/2916
30: 12799/93312
31: 365/3888
32: 8569/139968
33: 1325/34992
34: 229/10368
35: 211/17496
36: 1709/279936
37: 11/3888
38: 55/46656
39: 5/11664
40: 1/7776
41: 1/34992
42: 1/279936

Dice: [4, 4, 4, 4, 4, 4, 8]
7: 1/1
8: 32767/32768
9: 4095/4096
10: 8183/8192
11: 4081/4096
12: 8111/8192
13: 4003/4096
14: 7817/8192
15: 3757/4096
16: 28299/32768
17: 1623/2048
18: 2889/4096
19: 1241/2048
20: 1/2
21: 807/2048
22: 1207/4096
23: 425/2048
24: 4469/32768
25: 339/4096
26: 375/8192
27: 93/4096
28: 81/8192
29: 15/4096
30: 9/8192
31: 1/4096
32: 1/32768

Dice: [4, 4, 4, 4, 4, 6, 8]
7: 1/1
8: 49151/49152
9: 6143/6144
10: 4093/4096
11: 2043/2048
12: 48827/49152
13: 3025/3072
14: 47617/49152
15: 5791/6144
16: 7399/8192
17: 5215/6144
18: 38285/49152
19: 2135/3072
20: 14755/24576
21: 1/2
22: 9821/24576
23: 937/3072
24: 10867/49152
25: 929/6144
26: 793/8192
27: 353/6144
28: 1535/49152
29: 47/3072
30: 325/49152
31: 5/2048
32: 3/4096
33: 1/6144
34: 1/49152

Dice: [4, 4, 4, 4, 6, 6, 8]
7: 1/1
8: 73727/73728
9: 9215/9216
10: 2047/2048
11: 3067/3072
12: 36701/36864
13: 9121/9216
14: 36079/36864
15: 8849/9216
16: 8585/9216
17: 8207/9216
18: 3851/4608
19: 7069/9216
20: 50573/73728
21: 343/576
22: 1/2
23: 233/576
24: 23155/73728
25: 2147/9216
26: 757/4608
27: 1009/9216
28: 631/9216
29: 367/9216
30: 785/36864
31: 95/9216
32: 163/36864
33: 5/3072
34: 1/2048
35: 1/9216
36: 1/73728

Dice: [4, 4, 4, 6, 6, 6, 8]
7: 1/1
8: 110591/110592
9: 13823/13824
10: 3071/3072
11: 4603/4608
12: 36755/36864
13: 143/144
14: 36329/36864
15: 4481/4608
16: 105253/110592
17: 6367/6912
18: 97201/110592
19: 3797/4608
20: 20917/27648
21: 9373/13824
22: 7265/12288
23: 1/2
24: 5023/12288
25: 4451/13824
26: 6731/27648
27: 811/4608
28: 13391/110592
29: 545/6912
30: 5339/110592
31: 127/4608
32: 535/36864
33: 1/144
34: 109/36864
35: 5/4608
36: 1/3072
37: 1/13824
38: 1/110592

Dice: [4, 4, 6, 6, 6, 6, 8]
7: 1/1
8: 165887/165888
9: 20735/20736
10: 4607/4608
11: 6907/6912
12: 20695/20736
13: 20639/20736
14: 20531/20736
15: 20341/20736
16: 53419/55296
17: 4891/5184
18: 9449/10368
19: 4501/5184
20: 67469/82944
21: 7747/10368
22: 27829/41472
23: 6091/10368
24: 1/2
25: 4277/10368
26: 13643/41472
27: 2621/10368
28: 15475/82944
29: 683/5184
30: 919/10368
31: 293/5184
32: 1877/55296
33: 395/20736
34: 205/20736
35: 97/20736
36: 41/20736
37: 5/6912
38: 1/4608
39: 1/20736
40: 1/165888

Dice: [4, 6, 6, 6, 6, 6, 8]
7: 1/1
8: 248831/248832
9: 31103/31104
10: 6911/6912
11: 10363/10368
12: 248503/248832
13: 15503/15552
14: 247157/248832
15: 30695/31104
16: 60727/62208
17: 29849/31104
18: 232781/248832
19: 7015/7776
20: 106799/124416
21: 463/576
22: 1915/2592
23: 10339/15552
24: 72679/124416
25: 1/2
26: 51737/124416
27: 5213/15552
28: 677/2592
29: 113/576
30: 17617/124416
31: 761/7776
32: 16051/248832
33: 1255/31104
34: 1481/62208
35: 409/31104
36: 1675/248832
37: 49/15552
38: 329/248832
39: 5/10368
40: 1/6912
41: 1/31104
42: 1/248832

Dice: [6, 6, 6, 6, 6, 6, 8]
7: 1/1
8: 373247/373248
9: 46655/46656
10: 10367/10368
11: 15547/15552
12: 62153/62208
13: 5173/5184
14: 20641/20736
15: 5137/5184
16: 183515/186624
17: 45317/46656
18: 44477/46656
19: 14429/15552
20: 111157/124416
21: 1651/1944
22: 8243/10368
23: 2843/3888
24: 2563/3888
25: 6779/11664
26: 1/2
27: 4885/11664
28: 1325/3888
29: 1045/3888
30: 2125/10368
31: 293/1944
32: 13259/124416
33: 1123/15552
34: 2179/46656
35: 1339/46656
36: 3109/186624
37: 47/5184
38: 95/20736
39: 11/5184
40: 55/62208
41: 5/15552
42: 1/10368
43: 1/46656
44: 1/373248

Dice: [4, 4, 4, 4, 4, 8, 8]
7: 1/1
8: 65535/65536
9: 8191/8192
10: 16375/16384
11: 8177/8192
12: 65211/65536
13: 4049/4096
14: 125/128
15: 3919/4096
16: 60743/65536
17: 7249/8192
18: 13595/16384
19: 6239/8192
20: 44683/65536
21: 1215/2048
22: 1/2
23: 833/2048
24: 20853/65536
25: 1953/8192
26: 2789/16384
27: 943/8192
28: 4793/65536
29: 177/4096
30: 3/128
31: 47/4096
32: 325/65536
33: 15/8192
34: 9/16384
35: 1/8192
36: 1/65536

Dice: [4, 4, 4, 4, 6, 8, 8]
7: 1/1
8: 98303/98304
9: 12287/12288
10: 8189/8192
11: 4091/4096
12: 48989/49152
13: 12193/12288
14: 96733/98304
15: 745/768
16: 93221/98304
17: 3755/4096
18: 14317/16384
19: 10061/12288
20: 4619/6144
21: 8287/12288
22: 19309/32768
23: 1/2
24: 13459/32768
25: 4001/12288
26: 1525/6144
27: 2227/12288
28: 2067/16384
29: 341/4096
30: 5083/98304
31: 23/768
32: 1571/98304
33: 95/12288
34: 163/49152
35: 5/4096
36: 3/8192
37: 1/12288
38: 1/98304

Dice: [4, 4, 4, 6, 6, 8, 8]
7: 1/1
8: 147455/147456
9: 18431/18432
10: 4095/4096
11: 6139/6144
12: 49043/49152
13: 191/192
14: 72925/73728
15: 9025/9216
16: 71041/73728
17: 361/384
18: 66887/73728
19: 2653/3072
20: 39751/49152
21: 4565/6144
22: 6155/9216
23: 3599/6144
24: 1/2
25: 2545/6144
26: 3061/9216
27: 1579/6144
28: 9401/49152
29: 419/3072
30: 6841/73728
31: 23/384
32: 2687/73728
33: 191/9216
34: 803/73728
35: 1/192
36: 109/49152
37: 5/6144
38: 1/4096
39: 1/18432
40: 1/147456

Dice: [4, 4, 6, 6, 6, 8, 8]
7: 1/1
8: 221183/221184
9: 27647/27648
10: 6143/6144
11: 9211/9216
12: 27607/27648
13: 27551/27648
14: 73181/73728
15: 757/768
16: 107759/110592
17: 13231/13824
18: 51547/55296
19: 4139/4608
20: 188921/221184
21: 7369/9216
22: 81293/110592
23: 6101/9216
24: 128875/221184
25: 1/2
26: 92309/221184
27: 3115/9216
28: 29299/110592
29: 1847/9216
30: 32263/221184
31: 469/4608
32: 3749/55296
33: 593/13824
34: 2833/110592
35: 11/768
36: 547/73728
37: 97/27648
38: 41/27648
39: 5/9216
40: 1/6144
41: 1/27648
42: 1/221184

Dice: [4, 6, 6, 6, 6, 8, 8]
7: 1/1
8: 331775/331776
9: 41471/41472
10: 9215/9216
11: 13819/13824
12: 331447/331776
13: 20687/20736
14: 82525/82944
15: 20531/20736
16: 325817/331776
17: 1489/1536
18: 4381/4608
19: 38345/41472
20: 295195/331776
21: 5843/6912
22: 21875/27648
23: 559/768
24: 108941/165888
25: 167/288
26: 1/2
27: 121/288
28: 56947/165888
29: 209/768
30: 5773/27648
31: 1069/6912
32: 36581/331776
33: 3127/41472
34: 227/4608
35: 47/1536
36: 5959/331776
37: 205/20736
38: 419/82944
39: 49/20736
40: 329/331776
41: 5/13824
42: 1/9216
43: 1/41472
44: 1/331776

Dice: [6, 6, 6, 6, 6, 8, 8]
7: 1/1
8: 497663/497664
9: 62207/62208
10: 13823/13824
11: 20731/20736
12: 82889/82944
13: 6901/6912
14: 495953/497664
15: 7723/7776
16: 491411/497664
17: 20285/20736
18: 239969/248832
19: 19585/20736
20: 228253/248832
21: 54851/62208
22: 416621/497664
23: 8123/10368
24: 9971/13824
25: 751/1152
26: 143657/248832
27: 1/2
28: 105175/248832
29: 401/1152
30: 3853/13824
31: 2245/10368
32: 81043/497664
33: 7357/62208
34: 20579/248832
35: 1151/20736
36: 8863/248832
37: 451/20736
38: 6253/497664
39: 53/7776
40: 1711/497664
41: 11/6912
42: 55/82944
43: 5/20736
44: 1/13824
45: 1/62208
46: 1/497664

Dice: [4, 4, 4, 4, 8, 8, 8]
7: 1/1
8: 131071/131072
9: 16383/16384
10: 32759/32768
11: 16369/16384
12: 65373/65536
13: 16289/16384
14: 32375/32768
15: 16015/16384
16: 62977/65536
17: 15347/16384
18: 29595/32768
19: 14077/16384
20: 52713/65536
21: 12109/16384
22: 21787/32768
23: 9571/16384
24: 1/2
25: 6813/16384
26: 10981/32768
27: 4275/16384
28: 12823/65536
29: 2307/16384
30: 3173/32768
31: 1037/16384
32: 2559/65536
33: 369/16384
34: 393/32768
35: 95/16384
36: 163/65536
37: 15/16384
38: 9/32768
39: 1/16384
40: 1/131072

Dice: [4, 4, 4, 6, 8, 8, 8]
7: 1/1
8: 196607/196608
9: 24575/24576
10: 16381/16384
11: 8187/8192
12: 65427/65536
13: 255/256
14: 195001/196608
15: 24193/24576
16: 63733/65536
17: 11729/12288
18: 182635/196608
19: 7327/8192
20: 167125/196608
21: 611/768
22: 47943/65536
23: 16205/24576
24: 114281/196608
25: 1/2
26: 82327/196608
27: 8371/24576
28: 17593/65536
29: 157/768
30: 29483/196608
31: 865/8192
32: 13973/196608
33: 559/12288
34: 1803/65536
35: 383/24576
36: 1607/196608
37: 1/256
38: 109/65536
39: 5/8192
40: 3/16384
41: 1/24576
42: 1/196608

Dice: [4, 4, 6, 6, 8, 8, 8]
7: 1/1
8: 294911/294912
9: 36863/36864
10: 8191/8192
11: 12283/12288
12: 36823/36864
13: 36767/36864
14: 146635/147456
15: 36467/36864
16: 289211/294912
17: 743/768
18: 11651/12288
19: 2123/2304
20: 261335/294912
21: 3447/4096
22: 12903/16384
23: 8905/12288
24: 64327/98304
25: 1185/2048
26: 1/2
27: 863/2048
28: 33977/98304
29: 3383/12288
30: 3481/16384
31: 649/4096
32: 33577/294912
33: 181/2304
34: 637/12288
35: 25/768
36: 5701/294912
37: 397/36864
38: 821/147456
39: 97/36864
40: 41/36864
41: 5/12288
42: 1/8192
43: 1/36864
44: 1/294912

Dice: [4, 6, 6, 6, 8, 8, 8]
7: 1/1
8: 442367/442368
9: 55295/55296
10: 12287/12288
11: 18427/18432
12: 442039/442368
13: 27599/27648
14: 146897/147456
15: 18295/18432
16: 8081/8192
17: 54013/55296
18: 425731/442368
19: 8681/9216
20: 134813/147456
21: 48569/55296
22: 184387/221184
23: 4793/6144
24: 26483/36864
25: 11977/18432
26: 84965/147456
27: 1/2
28: 62491/147456
29: 6455/18432
30: 10381/36864
31: 1351/6144
32: 36797/221184
33: 6727/55296
34: 12643/147456
35: 535/9216
36: 16637/442368
37: 1283/55296
38: 111/8192
39: 137/18432
40: 559/147456
41: 49/27648
42: 329/442368
43: 5/18432
44: 1/12288
45: 1/55296
46: 1/442368

Dice: [6, 6, 6, 6, 8, 8, 8]
7: 1/1
8: 663551/663552
9: 82943/82944
10: 18431/18432
11: 27643/27648
12: 110537/110592
13: 9205/9216
14: 41365/41472
15: 82519/82944
16: 13693/13824
17: 81577/82944
18: 161383/165888
19: 2941/3072
20: 51751/55296
21: 25087/27648
22: 48161/55296
23: 68531/82944
24: 513077/663552
25: 9851/13824
26: 35699/55296
27: 2645/4608
28: 1/2
29: 1963/4608
30: 19597/55296
31: 3973/13824
32: 150475/663552
33: 14413/82944
34: 7135/55296
35: 2561/27648
36: 3545/55296
37: 131/3072
38: 4505/165888
39: 1367/82944
40: 131/13824
41: 425/82944
42: 107/41472
43: 11/9216
44: 55/110592
45: 5/27648
46: 1/18432
47: 1/82944
48: 1/663552

Dice: [4, 4, 4, 8, 8, 8, 8]
7: 1/1
8: 262143/262144
9: 32767/32768
10: 65527/65536
11: 32753/32768
12: 261817/262144
13: 1021/1024
14: 32567/32768
15: 253/256
16: 64175/65536
17: 7909/8192
18: 30985/32768
19: 7523/8192
20: 57845/65536
21: 429/512
22: 25691/32768
23: 739/1024
24: 85481/131072
25: 9461/16384
26: 1/2
27: 6923/16384
28: 45591/131072
29: 285/1024
30: 7077/32768
31: 83/512
32: 7691/65536
33: 669/8192
34: 1783/32768
35: 283/8192
36: 1361/65536
37: 3/256
38: 201/32768
39: 3/1024
40: 327/262144
41: 15/32768
42: 9/65536
43: 1/32768
44: 1/262144

Dice: [4, 4, 6, 8, 8, 8, 8]
7: 1/1
8: 393215/393216
9: 49151/49152
10: 32765/32768
11: 16379/16384
12: 49111/49152
13: 49055/49152
14: 391573/393216
15: 24377/24576
16: 16145/16384
17: 23969/24576
18: 94409/98304
19: 23087/24576
20: 89581/98304
21: 21505/24576
22: 5101/6144
23: 19093/24576
24: 46901/65536
25: 995/1536
26: 56539/98304
27: 1/2
28: 41765/98304
29: 541/1536
30: 18635/65536
31: 5483/24576
32: 1043/6144
33: 3071/24576
34: 8723/98304
35: 1489/24576
36: 3895/98304
37: 607/24576
38: 239/16384
39: 199/24576
40: 1643/393216
41: 97/49152
42: 41/49152
43: 5/16384
44: 3/32768
45: 1/49152
46: 1/393216

Dice: [4, 6, 6, 8, 8, 8, 8]
7: 1/1
8: 589823/589824
9: 73727/73728
10: 16383/16384
11: 24571/24576
12: 589495/589824
13: 36815/36864
14: 294073/294912
15: 18329/18432
16: 583795/589824
17: 72431/73728
18: 286447/294912
19: 70435/73728
20: 275273/294912
21: 22229/24576
22: 85313/98304
23: 60683/73728
24: 113579/147456
25: 5817/8192
26: 21095/32768
27: 14083/24576
28: 1/2
29: 10493/24576
30: 11673/32768
31: 2375/8192
32: 33877/147456
33: 13045/73728
34: 12991/98304
35: 2347/24576
36: 19639/294912
37: 3293/73728
38: 8465/294912
39: 1297/73728
40: 6029/589824
41: 103/18432
42: 839/294912
43: 49/36864
44: 329/589824
45: 5/24576
46: 1/16384
47: 1/73728
48: 1/589824

Dice: [6, 6, 6, 8, 8, 8, 8]
7: 1/1
8: 884735/884736
9: 110591/110592
10: 24575/24576
11: 36859/36864
12: 147401/147456
13: 12277/12288
14: 294341/294912
15: 18361/18432
16: 878413/884736
17: 109211/110592
18: 433211/442368
19: 35657/36864
20: 280271/294912
21: 5699/6144
22: 264835/294912
23: 31741/36864
24: 240745/294912
25: 21125/27648
26: 623669/884736
27: 7865/12288
28: 56141/98304
29: 1/2
30: 42163/98304
31: 4423/12288
32: 261067/884736
33: 6523/27648
34: 54167/294912
35: 5123/36864
36: 30077/294912
37: 445/6144
38: 14641/294912
39: 1207/36864
40: 9157/442368
41: 1381/110592
42: 6323/884736
43: 71/18432
44: 571/294912
45: 11/12288
46: 55/147456
47: 5/36864
48: 1/24576
49: 1/110592
50: 1/884736

Dice: [4, 4, 8, 8, 8, 8, 8]
7: 1/1
8: 524287/524288
9: 65535/65536
10: 131063/131072
11: 65521/65536
12: 65495/65536
13: 65439/65536
14: 130661/131072
15: 65137/65536
16: 518517/524288
17: 16077/16384
18: 993/1024
19: 15619/16384
20: 30505/32768
21: 14773/16384
22: 14169/16384
23: 13435/16384
24: 201171/262144
25: 23189/32768
26: 42075/65536
27: 18747/32768
28: 1/2
29: 14021/32768
30: 23461/65536
31: 9579/32768
32: 60973/262144
33: 2949/16384
34: 2215/16384
35: 1611/16384
36: 2263/32768
37: 765/16384
38: 31/1024
39: 307/16384
40: 5771/524288
41: 399/65536
42: 411/131072
43: 97/65536
44: 41/65536
45: 15/65536
46: 9/131072
47: 1/65536
48: 1/524288

Dice: [4, 6, 8, 8, 8, 8, 8]
7: 1/1
8: 786431/786432
9: 98303/98304
10: 65533/65536
11: 32763/32768
12: 786103/786432
13: 49103/49152
14: 784753/786432
15: 97891/98304
16: 48773/49152
17: 32331/32768
18: 256403/262144
19: 5933/6144
20: 186451/196608
21: 7579/8192
22: 58675/65536
23: 3515/4096
24: 319865/393216
25: 12475/16384
26: 138155/196608
27: 31381/49152
28: 224233/393216
29: 1/2
30: 168983/393216
31: 17771/49152
32: 58453/196608
33: 3909/16384
34: 73351/393216
35: 581/4096
36: 6861/65536
37: 613/8192
38: 10157/196608
39: 211/6144
40: 5741/262144
41: 437/32768
42: 379/49152
43: 413/98304
44: 1679/786432
45: 49/49152
46: 329/786432
47: 5/32768
48: 3/65536
49: 1/98304
50: 1/786432

Dice: [6, 6, 8, 8, 8, 8, 8]
7: 1/1
8: 1179647/1179648
9: 147455/147456
10: 32767/32768
11: 49147/49152
12: 196553/196608
13: 16373/16384
14: 588967/589824
15: 147029/147456
16: 586645/589824
17: 16229/16384
18: 72565/73728
19: 47917/49152
20: 1134341/1179648
21: 69559/73728
22: 271193/294912
23: 21853/24576
24: 167477/196608
25: 155/192
26: 74299/98304
27: 25733/36864
28: 187307/294912
29: 3493/6144
30: 1/2
31: 2651/6144
32: 107605/294912
33: 11131/36864
34: 24005/98304
35: 37/192
36: 29131/196608
37: 2723/24576
38: 23719/294912
39: 4169/73728
40: 45307/1179648
41: 1235/49152
42: 1163/73728
43: 155/16384
44: 3179/589824
45: 427/147456
46: 857/589824
47: 11/16384
48: 55/196608
49: 5/49152
50: 1/32768
51: 1/147456
52: 1/1179648

Dice: [4, 8, 8, 8, 8, 8, 8]
7: 1/1
8: 1048575/1048576
9: 131071/131072
10: 262135/262144
11: 131057/131072
12: 1048247/1048576
13: 65487/65536
14: 65431/65536
15: 65329/65536
16: 1042477/1048576
17: 129747/131072
18: 257765/262144
19: 127613/131072
20: 1006597/1048576
21: 15425/16384
22: 30057/32768
23: 14527/16384
24: 445211/524288
25: 52735/65536
26: 98751/131072
27: 45617/65536
28: 332243/524288
29: 18605/32768
30: 1/2
31: 14163/32768
32: 192045/524288
33: 19919/65536
34: 32321/131072
35: 12801/65536
36: 79077/524288
37: 1857/16384
38: 2711/32768
39: 959/16384
40: 41979/1048576
41: 3459/131072
42: 4379/262144
43: 1325/131072
44: 6099/1048576
45: 207/65536
46: 105/65536
47: 49/65536
48: 329/1048576
49: 15/131072
50: 9/262144
51: 1/131072
52: 1/1048576

Dice: [6, 8, 8, 8, 8, 8, 8]
7: 1/1
8: 1572863/1572864
9: 196607/196608
10: 131069/131072
11: 65531/65536
12: 262089/262144
13: 65503/65536
14: 1571149/1572864
15: 49045/49152
16: 522157/524288
17: 195199/196608
18: 776981/786432
19: 64273/65536
20: 127181/131072
21: 62647/65536
22: 491103/524288
23: 22411/24576
24: 692767/786432
25: 27633/32768
26: 78545/98304
27: 73561/98304
28: 90683/131072
29: 20667/32768
30: 148431/262144
31: 1/2
32: 113713/262144
33: 12101/32768
34: 40389/131072
35: 24743/98304
36: 19759/98304
37: 5135/32768
38: 93665/786432
39: 2165/24576
40: 33185/524288
41: 2889/65536
42: 3891/131072
43: 1263/65536
44: 9451/786432
45: 1409/196608
46: 2131/524288
47: 107/49152
48: 1715/1572864
49: 33/65536
50: 55/262144
51: 5/65536
52: 3/131072
53: 1/196608
54: 1/1572864

Dice: [8, 8, 8, 8, 8, 8, 8]
7: 1/1
8: 2097151/2097152
9: 262143/262144
10: 524279/524288
11: 262129/262144
12: 1048411/1048576
13: 262045/262144
14: 523859/524288
15: 261715/262144
16: 522681/524288
17: 260721/262144
18: 519489/524288
19: 258271/262144
20: 1024537/1048576
21: 253147/262144
22: 498221/524288
23: 243829/262144
24: 1897019/2097152
25: 114435/131072
26: 218979/262144
27: 103725/131072
28: 388727/524288
29: 89945/131072
30: 164287/262144
31: 73943/131072
32: 1/2
33: 57129/131072
34: 97857/262144
35: 41127/131072
36: 135561/524288
37: 27347/131072
38: 43165/262144
39: 16637/131072
40: 200133/2097152
41: 18315/262144
42: 26067/524288
43: 8997/262144
44: 24039/1048576
45: 3873/262144
46: 4799/524288
47: 1423/262144
48: 1607/524288
49: 429/262144
50: 429/524288
51: 99/262144
52: 165/1048576
53: 15/262144
54: 9/524288
55: 1/262144
56: 1/2097152

Dice: [4, 4, 4, 4, 4, 4, 12]
7: 1/1
8: 49151/49152
9: 6143/6144
10: 4093/4096
11: 2043/2048
12: 4069/4096
13: 2017/2048
14: 3971/4096
15: 1935/2048
16: 7447/8192
17: 5293/6144
18: 9865/12288
19: 1505/2048
20: 10815/16384
21: 595/1024
22: 1/2
23: 429/1024
24: 5569/16384
25: 543/2048
26: 2423/12288
27: 851/6144
28: 745/8192
29: 113/2048
30: 125/4096
31: 31/2048
32: 27/4096
33: 5/2048
34: 3/4096
35: 1/6144
36: 1/49152

Dice: [4, 4, 4, 4, 4, 6, 12]
7: 1/1
8: 73727/73728
9: 9215/9216
10: 2047/2048
11: 3067/3072
12: 73403/73728
13: 4561/4608
14: 72193/73728
15: 8863/9216
16: 68969/73728
17: 1381/1536
18: 62825/73728
19: 7327/9216
20: 26881/36864
21: 2017/3072
22: 42719/73728
23: 1/2
24: 31009/73728
25: 1055/3072
26: 9983/36864
27: 1889/9216
28: 10903/73728
29: 155/1536
30: 4759/73728
31: 353/9216
32: 1535/73728
33: 47/4608
34: 325/73728
35: 5/3072
36: 1/2048
37: 1/9216
38: 1/73728

Dice: [4, 4, 4, 4, 6, 6, 12]
7: 1/1
8: 110591/110592
9: 13823/13824
10: 3071/3072
11: 4603/4608
12: 55133/55296
13: 13729/13824
14: 54511/55296
15: 13457/13824
16: 3909/4096
17: 6407/6912
18: 24611/27648
19: 5831/6912
20: 10889/13824
21: 1667/2304
22: 36097/55296
23: 499/864
24: 1/2
25: 365/864
26: 19199/55296
27: 637/2304
28: 2935/13824
29: 1081/6912
30: 3037/27648
31: 505/6912
32: 187/4096
33: 367/13824
34: 785/55296
35: 95/13824
36: 163/55296
37: 5/4608
38: 1/3072
39: 1/13824
40: 1/110592

Dice: [4, 4, 4, 6, 6, 6, 12]
7: 1/1
8: 165887/165888
9: 20735/20736
10: 4607/4608
11: 6907/6912
12: 55187/55296
13: 215/216
14: 54761/55296
15: 6785/6912
16: 13379/13824
17: 19645/20736
18: 152461/165888
19: 127/144
20: 69319/82944
21: 8095/10368
22: 4963/6912
23: 2243/3456
24: 5305/9216
25: 1/2
26: 3911/9216
27: 1213/3456
28: 1949/6912
29: 2273/10368
30: 13625/82944
31: 17/144
32: 13427/165888
33: 1091/20736
34: 445/13824
35: 127/6912
36: 535/55296
37: 1/216
38: 109/55296
39: 5/6912
40: 1/4608
41: 1/20736
42: 1/165888

Dice: [4, 4, 6, 6, 6, 6, 12]
7: 1/1
8: 248831/248832
9: 31103/31104
10: 6911/6912
11: 10363/10368
12: 31063/31104
13: 31007/31104
14: 30899/31104
15: 30709/31104
16: 475/486
17: 9977/10368
18: 58523/62208
19: 28357/31104
20: 217555/248832
21: 12883/15552
22: 12041/15552
23: 3695/5184
24: 6691/10368
25: 8923/15552
26: 1/2
27: 6629/15552
28: 3677/10368
29: 1489/5184
30: 3511/15552
31: 2669/15552
32: 31277/248832
33: 2747/31104
34: 3685/62208
35: 391/10368
36: 11/486
37: 395/31104
38: 205/31104
39: 97/31104
40: 41/31104
41: 5/10368
42: 1/6912
43: 1/31104
44: 1/248832

Dice: [4, 6, 6, 6, 6, 6, 12]
7: 1/1
8: 373247/373248
9: 46655/46656
10: 10367/10368
11: 15547/15552
12: 372919/373248
13: 23279/23328
14: 371573/373248
15: 46247/46656
16: 122441/124416
17: 5675/5832
18: 357161/373248
19: 43597/46656
20: 56281/62208
21: 40457/46656
22: 306617/373248
23: 8959/11664
24: 132089/186624
25: 4991/7776
26: 106739/186624
27: 1/2
28: 79885/186624
29: 2785/7776
30: 54535/186624
31: 2705/11664
32: 66631/373248
33: 6199/46656
34: 5927/62208
35: 3059/46656
36: 16087/373248
37: 157/5832
38: 1975/124416
39: 409/46656
40: 1675/373248
41: 49/23328
42: 329/373248
43: 5/15552
44: 1/10368
45: 1/46656
46: 1/373248

Dice: [6, 6, 6, 6, 6, 6, 12]
7: 1/1
8: 559871/559872
9: 69983/69984
10: 15551/15552
11: 23323/23328
12: 93257/93312
13: 7765/7776
14: 31009/31104
15: 7729/7776
16: 61517/62208
17: 17161/17496
18: 135601/139968
19: 925/972
20: 259883/279936
21: 31427/34992
22: 26761/31104
23: 4753/5832
24: 142261/186624
25: 5467/7776
26: 178745/279936
27: 39907/69984
28: 1/2
29: 30077/69984
30: 101191/279936
31: 2309/7776
32: 44363/186624
33: 1079/5832
34: 4343/31104
35: 3565/34992
36: 20053/279936
37: 47/972
38: 4367/139968
39: 335/17496
40: 691/62208
41: 47/7776
42: 95/31104
43: 11/7776
44: 55/93312
45: 5/23328
46: 1/15552
47: 1/69984
48: 1/559872

Dice: [4, 4, 4, 4, 4, 8, 12]
7: 1/1
8: 98303/98304
9: 12287/12288
10: 8189/8192
11: 4091/4096
12: 97979/98304
13: 6097/6144
14: 63/64
15: 1989/2048
16: 15585/16384
17: 709/768
18: 10889/12288
19: 215/256
20: 25709/32768
21: 8863/12288
22: 16009/24576
23: 2363/4096
24: 1/2
25: 1733/4096
26: 8567/24576
27: 3425/12288
28: 7059/32768
29: 41/256
30: 1399/12288
31: 59/768
32: 799/16384
33: 59/2048
34: 1/64
35: 47/6144
36: 325/98304
37: 5/4096
38: 3/8192
39: 1/12288
40: 1/98304

Dice: [4, 4, 4, 4, 6, 8, 12]
7: 1/1
8: 147455/147456
9: 18431/18432
10: 4095/4096
11: 6139/6144
12: 73565/73728
13: 18337/18432
14: 145885/147456
15: 1129/1152
16: 35593/36864
17: 17/18
18: 7501/8192
19: 8095/9216
20: 122731/147456
21: 1593/2048
22: 13193/18432
23: 11935/18432
24: 9419/16384
25: 1/2
26: 6965/16384
27: 6497/18432
28: 5239/18432
29: 455/2048
30: 24725/147456
31: 1121/9216
32: 691/8192
33: 1/18
34: 1271/36864
35: 23/1152
36: 1571/147456
37: 95/18432
38: 163/73728
39: 5/6144
40: 1/4096
41: 1/18432
42: 1/147456

Dice: [4, 4, 4, 6, 6, 8, 12]
7: 1/1
8: 221183/221184
9: 27647/27648
10: 6143/6144
11: 9211/9216
12: 73619/73728
13: 287/288
14: 109789/110592
15: 13633/13824
16: 215809/221184
17: 26543/27648
18: 103733/110592
19: 2791/3072
20: 192655/221184
21: 713/864
22: 85319/110592
23: 9823/13824
24: 17801/27648
25: 7921/13824
26: 1/2
27: 5903/13824
28: 9847/27648
29: 4001/13824
30: 25273/110592
31: 151/864
32: 28529/221184
33: 281/3072
34: 6859/110592
35: 1105/27648
36: 5375/221184
37: 191/13824
38: 803/110592
39: 1/288
40: 109/73728
41: 5/9216
42: 1/6144
43: 1/27648
44: 1/221184

Dice: [4, 4, 6, 6, 6, 8, 12]
7: 1/1
8: 331775/331776
9: 41471/41472
10: 9215/9216
11: 13819/13824
12: 41431/41472
13: 41375/41472
14: 110045/110592
15: 1141/1152
16: 108703/110592
17: 40285/41472
18: 39593/41472
19: 12881/13824
20: 149593/165888
21: 11945/13824
22: 271573/331776
23: 5291/6912
24: 14633/20736
25: 13279/20736
26: 31585/55296
27: 1/2
28: 23711/55296
29: 7457/20736
30: 6103/20736
31: 1621/6912
32: 60203/331776
33: 1879/13824
34: 16295/165888
35: 943/13824
36: 1879/41472
37: 1187/41472
38: 1889/110592
39: 11/1152
40: 547/110592
41: 97/41472
42: 41/41472
43: 5/13824
44: 1/9216
45: 1/41472
46: 1/331776

Dice: [4, 6, 6, 6, 6, 8, 12]
7: 1/1
8: 497663/497664
9: 62207/62208
10: 13823/13824
11: 20731/20736
12: 497335/497664
13: 31055/31104
14: 123997/124416
15: 30899/31104
16: 61463/62208
17: 30469/31104
18: 13369/13824
19: 29533/31104
20: 17065/18432
21: 55697/62208
22: 106687/124416
23: 50527/62208
24: 378139/497664
25: 10903/15552
26: 19817/31104
27: 8857/15552
28: 1/2
29: 6695/15552
30: 11287/31104
31: 4649/15552
32: 119525/497664
33: 11681/62208
34: 17729/124416
35: 6511/62208
36: 1367/18432
37: 1571/31104
38: 455/13824
39: 635/31104
40: 745/62208
41: 205/31104
42: 419/124416
43: 49/31104
44: 329/497664
45: 5/20736
46: 1/13824
47: 1/62208
48: 1/497664

Dice: [6, 6, 6, 6, 6, 8, 12]
7: 1/1
8: 746495/746496
9: 93311/93312
10: 20735/20736
11: 31099/31104
12: 124361/124416
13: 10357/10368
14: 744785/746496
15: 11611/11664
16: 370121/373248
17: 45979/46656
18: 364367/373248
19: 7487/7776
20: 235003/248832
21: 28619/31104
22: 331889/373248
23: 79433/93312
24: 75233/93312
25: 70403/93312
26: 173365/248832
27: 14791/23328
28: 35329/62208
29: 1/2
30: 26879/62208
31: 8537/23328
32: 75467/248832
33: 22909/93312
34: 18079/93312
35: 13879/93312
36: 41359/373248
37: 2485/31104
38: 13829/248832
39: 289/7776
40: 8881/373248
41: 677/46656
42: 3127/373248
43: 53/11664
44: 1711/746496
45: 11/10368
46: 55/124416
47: 5/31104
48: 1/20736
49: 1/93312
50: 1/746496

Dice: [4, 4, 4, 4, 8, 8, 12]
7: 1/1
8: 196607/196608
9: 24575/24576
10: 16381/16384
11: 8187/8192
12: 98141/98304
13: 24481/24576
14: 16253/16384
15: 8069/8192
16: 191489/196608
17: 3923/4096
18: 22985/24576
19: 3709/4096
20: 56879/65536
21: 20207/24576
22: 37787/49152
23: 5803/8192
24: 42093/65536
25: 7031/12288
26: 1/2
27: 5257/12288
28: 23443/65536
29: 2389/8192
30: 11365/49152
31: 4369/24576
32: 8657/65536
33: 387/4096
34: 1591/24576
35: 173/4096
36: 5119/196608
37: 123/8192
38: 131/16384
39: 95/24576
40: 163/98304
41: 5/8192
42: 3/16384
43: 1/24576
44: 1/196608

Dice: [4, 4, 4, 6, 8, 8, 12]
7: 1/1
8: 294911/294912
9: 36863/36864
10: 8191/8192
11: 12283/12288
12: 98195/98304
13: 383/384
14: 293305/294912
15: 36481/36864
16: 144751/147456
17: 11915/12288
18: 280903/294912
19: 1903/2048
20: 265103/294912
21: 31745/36864
22: 120281/147456
23: 3125/4096
24: 103751/147456
25: 2617/4096
26: 168229/294912
27: 1/2
28: 126683/294912
29: 1479/4096
30: 43705/147456
31: 971/4096
32: 27175/147456
33: 5119/36864
34: 29809/294912
35: 145/2048
36: 14009/294912
37: 373/12288
38: 2705/147456
39: 383/36864
40: 1607/294912
41: 1/384
42: 109/98304
43: 5/12288
44: 1/8192
45: 1/36864
46: 1/294912

Dice: [4, 4, 6, 6, 8, 8, 12]
7: 1/1
8: 442367/442368
9: 55295/55296
10: 12287/12288
11: 18427/18432
12: 55255/55296
13: 55199/55296
14: 220363/221184
15: 54899/55296
16: 218333/221184
17: 54095/55296
18: 35587/36864
19: 52385/55296
20: 25529/27648
21: 16453/18432
22: 47263/55296
23: 44765/55296
24: 335063/442368
25: 6443/9216
26: 140615/221184
27: 2621/4608
28: 1/2
29: 1987/4608
30: 80569/221184
31: 2773/9216
32: 107305/442368
33: 10531/55296
34: 8033/55296
35: 1979/18432
36: 2119/27648
37: 2911/55296
38: 1277/36864
39: 1201/55296
40: 2851/221184
41: 397/55296
42: 821/221184
43: 97/55296
44: 41/55296
45: 5/18432
46: 1/12288
47: 1/55296
48: 1/442368

Dice: [4, 6, 6, 6, 8, 8, 12]
7: 1/1
8: 663551/663552
9: 82943/82944
10: 18431/18432
11: 27643/27648
12: 663223/663552
13: 41423/41472
14: 220625/221184
15: 27511/27648
16: 657557/663552
17: 6805/6912
18: 646879/663552
19: 26573/27648
20: 625295/663552
21: 9515/10368
22: 588317/663552
23: 869/1024
24: 266657/331776
25: 62393/82944
26: 461083/663552
27: 8747/13824
28: 188197/331776
29: 1/2
30: 143579/331776
31: 5077/13824
32: 202469/663552
33: 20551/82944
34: 65119/331776
35: 155/1024
36: 75235/663552
37: 853/10368
38: 38257/663552
39: 1075/27648
40: 16673/663552
41: 107/6912
42: 5995/663552
43: 137/27648
44: 559/221184
45: 49/41472
46: 329/663552
47: 5/27648
48: 1/18432
49: 1/82944
50: 1/663552

Dice: [6, 6, 6, 6, 8, 8, 12]
7: 1/1
8: 995327/995328
9: 124415/124416
10: 27647/27648
11: 41467/41472
12: 165833/165888
13: 13813/13824
14: 62101/62208
15: 123991/124416
16: 989039/995328
17: 1709/1728
18: 122159/124416
19: 1259/1296
20: 952459/995328
21: 116635/124416
22: 3547/3888
23: 451/512
24: 419447/497664
25: 33103/41472
26: 61985/82944
27: 85955/124416
28: 626971/995328
29: 2933/5184
30: 1/2
31: 2251/5184
32: 368357/995328
33: 38461/124416
34: 20959/82944
35: 8369/41472
36: 78217/497664
37: 61/512
38: 341/3888
39: 7781/124416
40: 42869/995328
41: 37/1296
42: 2257/124416
43: 19/1728
44: 6289/995328
45: 425/124416
46: 107/62208
47: 11/13824
48: 55/165888
49: 5/41472
50: 1/27648
51: 1/124416
52: 1/995328

Dice: [4, 4, 4, 8, 8, 8, 12]
7: 1/1
8: 393215/393216
9: 49151/49152
10: 32765/32768
11: 16379/16384
12: 130963/131072
13: 511/512
14: 16317/16384
15: 127/128
16: 129257/131072
17: 48019/49152
18: 94729/98304
19: 15487/16384
20: 181063/196608
21: 43745/49152
22: 27919/32768
23: 13221/16384
24: 24743/32768
25: 11423/16384
26: 62363/98304
27: 27923/49152
28: 1/2
29: 21229/49152
30: 35941/98304
31: 4961/16384
32: 8025/32768
33: 3163/16384
34: 4849/32768
35: 5407/49152
36: 15545/196608
37: 897/16384
38: 3575/98304
39: 1133/49152
40: 1815/131072
41: 1/128
42: 67/16384
43: 1/512
44: 109/131072
45: 5/16384
46: 3/32768
47: 1/49152
48: 1/393216

Dice: [4, 4, 6, 8, 8, 8, 12]
7: 1/1
8: 589823/589824
9: 73727/73728
10: 16383/16384
11: 24571/24576
12: 73687/73728
13: 73631/73728
14: 588181/589824
15: 36665/36864
16: 584087/589824
17: 8057/8192
18: 2243/2304
19: 70735/73728
20: 554605/589824
21: 33745/36864
22: 521465/589824
23: 6931/8192
24: 157535/196608
25: 27649/36864
26: 408791/589824
27: 5173/8192
28: 111395/196608
29: 1/2
30: 85213/196608
31: 3019/8192
32: 181033/589824
33: 9215/36864
34: 39073/196608
35: 1261/8192
36: 68359/589824
37: 3119/36864
38: 35219/589824
39: 2993/73728
40: 61/2304
41: 135/8192
42: 5737/589824
43: 199/36864
44: 1643/589824
45: 97/73728
46: 41/73728
47: 5/24576
48: 1/16384
49: 1/73728
50: 1/589824

Dice: [4, 6, 6, 8, 8, 8, 12]
7: 1/1
8: 884735/884736
9: 110591/110592
10: 24575/24576
11: 36859/36864
12: 884407/884736
13: 55247/55296
14: 441529/442368
15: 27545/27648
16: 48817/49152
17: 54647/55296
18: 433885/442368
19: 26821/27648
20: 140855/147456
21: 51727/55296
22: 201287/221184
23: 48575/55296
24: 743527/884736
25: 29339/36864
26: 109889/147456
27: 76217/110592
28: 556247/884736
29: 10417/18432
30: 1/2
31: 8015/18432
32: 328489/884736
33: 34375/110592
34: 37567/147456
35: 7525/36864
36: 141209/884736
37: 6721/55296
38: 19897/221184
39: 3569/55296
40: 6601/147456
41: 827/27648
42: 8483/442368
43: 649/55296
44: 335/49152
45: 103/27648
46: 839/442368
47: 49/55296
48: 329/884736
49: 5/36864
50: 1/24576
51: 1/110592
52: 1/884736

Dice: [6, 6, 6, 8, 8, 8, 12]
7: 1/1
8: 1327103/1327104
9: 165887/165888
10: 36863/36864
11: 55291/55296
12: 221129/221184
13: 18421/18432
14: 441797/442368
15: 27577/27648
16: 110065/110592
17: 82253/82944
18: 654377/663552
19: 4507/4608
20: 320713/331776
21: 39445/41472
22: 11437/12288
23: 12509/13824
24: 386203/442368
25: 46171/55296
26: 14575/18432
27: 40957/55296
28: 75809/110592
29: 103865/165888
30: 748241/1327104
31: 1/2
32: 578863/1327104
33: 62023/165888
34: 34783/110592
35: 14339/55296
36: 3857/18432
37: 9125/55296
38: 56165/442368
39: 1315/13824
40: 851/12288
41: 2027/41472
42: 11063/331776
43: 101/4608
44: 9175/663552
45: 691/82944
46: 527/110592
47: 71/27648
48: 571/442368
49: 11/18432
50: 55/221184
51: 5/55296
52: 1/36864
53: 1/165888
54: 1/1327104

Dice: [4, 4, 8, 8, 8, 8, 12]
7: 1/1
8: 786431/786432
9: 98303/98304
10: 65533/65536
11: 32763/32768
12: 98263/98304
13: 98207/98304
14: 65399/65536
15: 32635/32768
16: 65055/65536
17: 97075/98304
18: 192631/196608
19: 31743/32768
20: 749897/786432
21: 7647/8192
22: 89243/98304
23: 7177/8192
24: 329521/393216
25: 39007/49152
26: 18265/24576
27: 33793/49152
28: 41127/65536
29: 27749/49152
30: 1/2
31: 21403/49152
32: 24409/65536
33: 15359/49152
34: 6311/24576
35: 10145/49152
36: 63695/393216
37: 1015/8192
38: 9061/98304
39: 545/8192
40: 36535/786432
41: 1025/32768
42: 3977/196608
43: 1229/98304
44: 481/65536
45: 133/32768
46: 137/65536
47: 97/98304
48: 41/98304
49: 5/32768
50: 3/65536
51: 1/98304
52: 1/786432

Dice: [4, 6, 8, 8, 8, 8, 12]
7: 1/1
8: 1179647/1179648
9: 147455/147456
10: 32767/32768
11: 49147/49152
12: 1179319/1179648
13: 73679/73728
14: 1177969/1179648
15: 147043/147456
16: 1173583/1179648
17: 4567/4608
18: 387463/393216
19: 144065/147456
20: 94891/98304
21: 140003/147456
22: 1095673/1179648
23: 66557/73728
24: 513605/589824
25: 30697/36864
26: 58141/73728
27: 1513/2048
28: 134465/196608
29: 46081/73728
30: 332215/589824
31: 1/2
32: 257609/589824
33: 27647/73728
34: 62143/196608
35: 535/2048
36: 15587/73728
37: 6167/36864
38: 76219/589824
39: 7171/73728
40: 83975/1179648
41: 7453/147456
42: 3413/98304
43: 3391/147456
44: 5753/393216
45: 41/4608
46: 6065/1179648
47: 413/147456
48: 1679/1179648
49: 49/73728
50: 329/1179648
51: 5/49152
52: 1/32768
53: 1/147456
54: 1/1179648

Dice: [6, 6, 8, 8, 8, 8, 12]
7: 1/1
8: 1769471/1769472
9: 221183/221184
10: 49151/49152
11: 73723/73728
12: 294857/294912
13: 24565/24576
14: 883879/884736
15: 220757/221184
16: 1763113/1769472
17: 54947/55296
18: 437707/442368
19: 9061/9216
20: 143653/147456
21: 17729/18432
22: 836459/884736
23: 102217/110592
24: 1588657/1769472
25: 191471/221184
26: 732241/884736
27: 6421/8192
28: 216629/294912
29: 50173/73728
30: 183617/294912
31: 124307/221184
32: 1/2
33: 96877/221184
34: 111295/294912
35: 23555/73728
36: 78283/294912
37: 1771/8192
38: 152495/884736
39: 29713/221184
40: 180815/1769472
41: 8375/110592
42: 48277/884736
43: 703/18432
44: 3803/147456
45: 155/9216
46: 4661/442368
47: 349/55296
48: 6359/1769472
49: 427/221184
50: 857/884736
51: 11/24576
52: 55/294912
53: 5/73728
54: 1/49152
55: 1/221184
56: 1/1769472

Dice: [4, 8, 8, 8, 8, 8, 12]
7: 1/1
8: 1572863/1572864
9: 196607/196608
10: 131069/131072
11: 65531/65536
12: 1572535/1572864
13: 98255/98304
14: 32733/32768
15: 32699/32768
16: 391691/393216
17: 32547/32768
18: 97207/98304
19: 32189/32768
20: 1530557/1572864
21: 188839/196608
22: 371117/393216
23: 60451/65536
24: 1408939/1572864
25: 84889/98304
26: 54101/65536
27: 76855/98304
28: 576283/786432
29: 5563/8192
30: 30553/49152
31: 13799/24576
32: 1/2
33: 10777/24576
34: 18599/49152
35: 2629/8192
36: 210149/786432
37: 21449/98304
38: 11435/65536
39: 13415/98304
40: 163925/1572864
41: 5085/65536
42: 22099/393216
43: 7769/196608
44: 42307/1572864
45: 579/32768
46: 1097/98304
47: 221/32768
48: 1525/393216
49: 69/32768
50: 35/32768
51: 49/98304
52: 329/1572864
53: 5/65536
54: 3/131072
55: 1/196608
56: 1/1572864

Dice: [6, 8, 8, 8, 8, 8, 12]
7: 1/1
8: 2359295/2359296
9: 294911/294912
10: 65535/65536
11: 98299/98304
12: 393161/393216
13: 32757/32768
14: 2357581/2359296
15: 73621/73728
16: 1176451/1179648
17: 48917/49152
18: 1170179/1179648
19: 24259/24576
20: 2312275/2359296
21: 286147/294912
22: 1129031/1179648
23: 92393/98304
24: 1082951/1179648
25: 29199/32768
26: 2025929/2359296
27: 121025/147456
28: 114625/147456
29: 35825/49152
30: 265781/393216
31: 2537/4096
32: 165251/294912
33: 1/2
34: 129661/294912
35: 1559/4096
36: 127435/393216
37: 13327/49152
38: 32831/147456
39: 26431/147456
40: 333367/2359296
41: 3569/32768
42: 96697/1179648
43: 5911/98304
44: 50617/1179648
45: 8765/294912
46: 47021/2359296
47: 317/24576
48: 9469/1179648
49: 235/49152
50: 3197/1179648
51: 107/73728
52: 1715/2359296
53: 11/32768
54: 55/393216
55: 5/98304
56: 1/65536
57: 1/294912
58: 1/2359296

Dice: [8, 8, 8, 8, 8, 8, 12]
7: 1/1
8: 3145727/3145728
9: 393215/393216
10: 262141/262144
11: 131067/131072
12: 524233/524288
13: 131039/131072
14: 262001/262144
15: 130929/131072
16: 1046433/1048576
17: 24487/24576
18: 97703/98304
19: 8111/8192
20: 3097321/3145728
21: 384121/393216
22: 253315/262144
23: 124829/131072
24: 122479/131072
25: 119539/131072
26: 695723/786432
27: 335063/393216
28: 853835/1048576
29: 151645/196608
30: 284515/393216
31: 44017/65536
32: 969499/1572864
33: 13733/24576
34: 1/2
35: 10843/24576
36: 603365/1572864
37: 21519/65536
38: 108701/393216
39: 44963/196608
40: 194741/1048576
41: 58153/393216
42: 90709/786432
43: 11533/131072
44: 8593/131072
45: 6243/131072
46: 8829/262144
47: 9095/393216
48: 48407/3145728
49: 81/8192
50: 601/98304
51: 89/24576
52: 2143/1048576
53: 143/131072
54: 143/262144
55: 33/131072
56: 55/524288
57: 5/131072
58: 3/262144
59: 1/393216
60: 1/3145728

Dice: [4, 4, 4, 4, 4, 12, 12]
7: 1/1
8: 147455/147456
9: 18431/18432
10: 4095/4096
11: 6139/6144
12: 147131/147456
13: 9169/9216
14: 95/96
15: 3013/3072
16: 142661/147456
17: 1943/2048
18: 34057/36864
19: 5483/6144
20: 13995/16384
21: 7457/9216
22: 13961/18432
23: 2149/3072
24: 5213/8192
25: 2623/4608
26: 1/2
27: 1985/4608
28: 2979/8192
29: 923/3072
30: 4471/18432
31: 1759/9216
32: 2389/16384
33: 661/6144
34: 2807/36864
35: 105/2048
36: 4795/147456
37: 59/3072
38: 1/96
39: 47/9216
40: 325/147456
41: 5/6144
42: 1/4096
43: 1/18432
44: 1/147456

Dice: [4, 4, 4, 4, 6, 12, 12]
7: 1/1
8: 221183/221184
9: 27647/27648
10: 6143/6144
11: 9211/9216
12: 110429/110592
13: 27553/27648
14: 219613/221184
15: 1705/1728
16: 24011/24576
17: 26623/27648
18: 3865/4096
19: 25391/27648
20: 32689/36864
21: 23459/27648
22: 177737/221184
23: 10399/13824
24: 38435/55296
25: 2917/4608
26: 62755/110592
27: 1/2
28: 47837/110592
29: 1691/4608
30: 16861/55296
31: 3425/13824
32: 43447/221184
33: 4189/27648
34: 4175/36864
35: 2257/27648
36: 231/4096
37: 1025/27648
38: 565/24576
39: 23/1728
40: 1571/221184
41: 95/27648
42: 163/110592
43: 5/9216
44: 1/6144
45: 1/27648
46: 1/221184

Dice: [4, 4, 4, 6, 6, 12, 12]
7: 1/1
8: 331775/331776
9: 41471/41472
10: 9215/9216
11: 13819/13824
12: 110483/110592
13: 431/432
14: 165085/165888
15: 20545/20736
16: 425/432
17: 20183/20736
18: 159011/165888
19: 811/864
20: 302921/331776
21: 36545/41472
22: 23305/27648
23: 33103/41472
24: 247951/331776
25: 199/288
26: 52259/82944
27: 5867/10368
28: 1/2
29: 4501/10368
30: 30685/82944
31: 89/288
32: 83825/331776
33: 8369/41472
34: 4343/27648
35: 4927/41472
36: 28855/331776
37: 53/864
38: 6877/165888
39: 553/20736
40: 7/432
41: 191/20736
42: 803/165888
43: 1/432
44: 109/110592
45: 5/13824
46: 1/9216
47: 1/41472
48: 1/331776

Dice: [4, 4, 6, 6, 6, 12, 12]
7: 1/1
8: 497663/497664
9: 62207/62208
10: 13823/13824
11: 20731/20736
12: 62167/62208
13: 62111/62208
14: 165341/165888
15: 1717/1728
16: 122999/124416
17: 565/576
18: 120649/124416
19: 1649/1728
20: 464747/497664
21: 6275/6912
22: 27241/31104
23: 5789/6912
24: 98669/124416
25: 15401/20736
26: 341971/497664
27: 271/432
28: 35113/62208
29: 1/2
30: 27095/62208
31: 161/432
32: 155693/497664
33: 5335/20736
34: 25747/124416
35: 1123/6912
36: 3863/31104
37: 637/6912
38: 32917/497664
39: 79/1728
40: 3767/124416
41: 11/576
42: 1417/124416
43: 11/1728
44: 547/165888
45: 97/62208
46: 41/62208
47: 5/20736
48: 1/13824
49: 1/62208
50: 1/497664

Dice: [4, 6, 6, 6, 6, 12, 12]
7: 1/1
8: 746495/746496
9: 93311/93312
10: 20735/20736
11: 31099/31104
12: 746167/746496
13: 46607/46656
14: 186205/186624
15: 46451/46656
16: 246845/248832
17: 92041/93312
18: 845/864
19: 90155/93312
20: 709259/746496
21: 5419/5832
22: 168485/186624
23: 20309/23328
24: 207113/248832
25: 73543/93312
26: 137791/186624
27: 63785/93312
28: 466387/746496
29: 26273/46656
30: 1/2
31: 20383/46656
32: 280109/746496
33: 29527/93312
34: 48833/186624
35: 19769/93312
36: 41719/248832
37: 3019/23328
38: 18139/186624
39: 413/5832
40: 37237/746496
41: 3157/93312
42: 19/864
43: 1271/93312
44: 1987/248832
45: 205/46656
46: 419/186624
47: 49/46656
48: 329/746496
49: 5/31104
50: 1/20736
51: 1/93312
52: 1/746496

Dice: [6, 6, 6, 6, 6, 12, 12]
7: 1/1
8: 1119743/1119744
9: 139967/139968
10: 31103/31104
11: 46651/46656
12: 186569/186624
13: 15541/15552
14: 1118033/1119744
15: 17443/17496
16: 123721/124416
17: 138613/139968
18: 550973/559872
19: 1685/1728
20: 134741/139968
21: 132415/139968
22: 115039/124416
23: 7855/8748
24: 969187/1119744
25: 4289/5184
26: 109657/139968
27: 102761/139968
28: 42313/62208
29: 87113/139968
30: 629165/1119744
31: 1/2
32: 490579/1119744
33: 52855/139968
34: 19895/62208
35: 37207/139968
36: 30311/139968
37: 895/5184
38: 150557/1119744
39: 893/8748
40: 9377/124416
41: 7553/139968
42: 5227/139968
43: 43/1728
44: 8899/559872
45: 1355/139968
46: 695/124416
47: 53/17496
48: 1711/1119744
49: 11/15552
50: 55/186624
51: 5/46656
52: 1/31104
53: 1/139968
54: 1/1119744

Dice: [4, 4, 4, 4, 8, 12, 12]
7: 1/1
8: 294911/294912
9: 36863/36864
10: 8191/8192
11: 12283/12288
12: 147293/147456
13: 36769/36864
14: 24445/24576
15: 4055/4096
16: 283/288
17: 35825/36864
18: 70537/73728
19: 11509/12288
20: 33577/36864
21: 32401/36864
22: 61979/73728
23: 9781/12288
24: 24421/32768
25: 12703/18432
26: 23177/36864
27: 10417/18432
28: 1/2
29: 8015/18432
30: 13687/36864
31: 5729/18432
32: 8347/32768
33: 2507/12288
34: 11749/73728
35: 4463/36864
36: 3287/36864
37: 779/12288
38: 3191/73728
39: 1039/36864
40: 5/288
41: 41/4096
42: 131/24576
43: 95/36864
44: 163/147456
45: 5/12288
46: 1/8192
47: 1/36864
48: 1/294912

Dice: [4, 4, 4, 6, 8, 12, 12]
7: 1/1
8: 442367/442368
9: 55295/55296
10: 12287/12288
11: 18427/18432
12: 147347/147456
13: 575/576
14: 440761/442368
15: 54913/55296
16: 436957/442368
17: 1693/1728
18: 428323/442368
19: 17557/18432
20: 137411/147456
21: 8347/9216
22: 386447/442368
23: 46189/55296
24: 174937/221184
25: 40961/55296
26: 303247/442368
27: 17311/27648
28: 41569/73728
29: 1/2
30: 32159/73728
31: 10337/27648
32: 139121/442368
33: 14335/55296
34: 46247/221184
35: 9107/55296
36: 55921/442368
37: 869/9216
38: 10045/147456
39: 875/18432
40: 14045/442368
41: 35/1728
42: 5411/442368
43: 383/55296
44: 1607/442368
45: 1/576
46: 109/147456
47: 5/18432
48: 1/12288
49: 1/55296
50: 1/442368

Dice: [4, 4, 6, 6, 8, 12, 12]
7: 1/1
8: 663551/663552
9: 82943/82944
10: 18431/18432
11: 27643/27648
12: 82903/82944
13: 82847/82944
14: 330955/331776
15: 82547/82944
16: 219283/221184
17: 40871/41472
18: 211/216
19: 40009/41472
20: 629321/663552
21: 25637/27648
22: 298841/331776
23: 72031/82944
24: 7651/9216
25: 65201/82944
26: 61087/82944
27: 18857/27648
28: 413839/663552
29: 11665/20736
30: 1/2
31: 9071/20736
32: 249713/663552
33: 8791/27648
34: 21857/82944
35: 17743/82944
36: 1565/9216
37: 10913/82944
38: 32935/331776
39: 2011/27648
40: 34231/663552
41: 1463/41472
42: 5/216
43: 601/41472
44: 1901/221184
45: 397/82944
46: 821/331776
47: 97/82944
48: 41/82944
49: 5/27648
50: 1/18432
51: 1/82944
52: 1/663552

Dice: [4, 6, 6, 6, 8, 12, 12]
7: 1/1
8: 995327/995328
9: 124415/124416
10: 27647/27648
11: 41467/41472
12: 994999/995328
13: 62159/62208
14: 331217/331776
15: 41335/41472
16: 247333/248832
17: 123131/124416
18: 978619/995328
19: 187/192
20: 956743/995328
21: 13055/13824
22: 229613/248832
23: 12385/13824
24: 859423/995328
25: 17113/20736
26: 777827/995328
27: 375/512
28: 168895/248832
29: 25769/41472
30: 558731/995328
31: 1/2
32: 436597/995328
33: 15703/41472
34: 79937/248832
35: 137/512
36: 217501/995328
37: 3623/20736
38: 135905/995328
39: 1439/13824
40: 19219/248832
41: 769/13824
42: 38585/995328
43: 5/192
44: 16709/995328
45: 1285/124416
46: 1499/248832
47: 137/41472
48: 559/331776
49: 49/62208
50: 329/995328
51: 5/41472
52: 1/27648
53: 1/124416
54: 1/995328

Dice: [6, 6, 6, 6, 8, 12, 12]
7: 1/1
8: 1492991/1492992
9: 186623/186624
10: 41471/41472
11: 62203/62208
12: 248777/248832
13: 20725/20736
14: 93205/93312
15: 186199/186624
16: 743351/746496
17: 185255/186624
18: 368725/373248
19: 61019/62208
20: 724897/746496
21: 178745/186624
22: 351005/373248
23: 171391/186624
24: 665299/746496
25: 160247/186624
26: 25523/31104
27: 145021/186624
28: 543863/746496
29: 126089/186624
30: 231103/373248
31: 104551/186624
32: 1/2
33: 82073/186624
34: 142145/373248
35: 60535/186624
36: 202633/746496
37: 41603/186624
38: 5581/31104
39: 26377/186624
40: 81197/746496
41: 15233/186624
42: 22243/373248
43: 7879/186624
44: 21599/746496
45: 1189/62208
46: 4523/373248
47: 1369/186624
48: 3145/746496
49: 425/186624
50: 107/93312
51: 11/20736
52: 55/248832
53: 5/62208
54: 1/41472
55: 1/186624
56: 1/1492992

Dice: [4, 4, 4, 8, 8, 12, 12]
7: 1/1
8: 589823/589824
9: 73727/73728
10: 16383/16384
11: 24571/24576
12: 196499/196608
13: 767/768
14: 24509/24576
15: 191/192
16: 292189/294912
17: 4033/4096
18: 281/288
19: 11837/12288
20: 23267/24576
21: 11371/12288
22: 3681/4096
23: 10645/12288
24: 488405/589824
25: 6423/8192
26: 12037/16384
27: 50177/73728
28: 40805/65536
29: 1151/2048
30: 1/2
31: 897/2048
32: 24731/65536
33: 23551/73728
34: 4347/16384
35: 1769/8192
36: 101419/589824
37: 1643/12288
38: 415/4096
39: 917/12288
40: 1309/24576
41: 451/12288
42: 7/288
43: 63/4096
44: 2723/294912
45: 1/192
46: 67/24576
47: 1/768
48: 109/196608
49: 5/24576
50: 1/16384
51: 1/73728
52: 1/589824

Dice: [4, 4, 6, 8, 8, 12, 12]
7: 1/1
8: 884735/884736
9: 110591/110592
10: 24575/24576
11: 36859/36864
12: 110551/110592
13: 110495/110592
14: 883093/884736
15: 55097/55296
16: 439499/442368
17: 1709/1728
18: 217271/221184
19: 1681/1728
20: 424595/442368
21: 52129/55296
22: 45265/49152
23: 24715/27648
24: 762107/884736
25: 91043/110592
26: 114949/147456
27: 2993/4096
28: 74911/110592
29: 68609/110592
30: 496201/884736
31: 1/2
32: 388535/884736
33: 41983/110592
34: 35681/110592
35: 1103/4096
36: 32507/147456
37: 19549/110592
38: 122629/884736
39: 2933/27648
40: 3887/49152
41: 3167/55296
42: 17773/442368
43: 47/1728
44: 3913/221184
45: 19/1728
46: 2869/442368
47: 199/55296
48: 1643/884736
49: 97/110592
50: 41/110592
51: 5/36864
52: 1/24576
53: 1/110592
54: 1/884736

Dice: [4, 6, 6, 8, 8, 12, 12]
7: 1/1
8: 1327103/1327104
9: 165887/165888
10: 36863/36864
11: 55291/55296
12: 1326775/1327104
13: 82895/82944
14: 662713/663552
15: 41369/41472
16: 1321073/1327104
17: 54863/55296
18: 655051/663552
19: 162565/165888
20: 643585/663552
21: 158653/165888
22: 622937/663552
23: 50683/55296
24: 1180193/1327104
25: 4441/5184
26: 181063/221184
27: 64301/82944
28: 964711/1327104
29: 1381/2048
30: 102559/165888
31: 92855/165888
32: 1/2
33: 73033/165888
34: 63329/165888
35: 667/2048
36: 362393/1327104
37: 18643/82944
38: 40121/221184
39: 743/5184
40: 146911/1327104
41: 4613/55296
42: 40615/663552
43: 7235/165888
44: 19967/663552
45: 3323/165888
46: 8501/663552
47: 433/55296
48: 6031/1327104
49: 103/41472
50: 839/663552
51: 49/82944
52: 329/1327104
53: 5/55296
54: 1/36864
55: 1/165888
56: 1/1327104

Dice: [6, 6, 6, 8, 8, 12, 12]
7: 1/1
8: 1990655/1990656
9: 248831/248832
10: 55295/55296
11: 82939/82944
12: 331721/331776
13: 27637/27648
14: 662981/663552
15: 41401/41472
16: 1984331/1990656
17: 82483/82944
18: 986135/995328
19: 81727/82944
20: 1946075/1990656
21: 120313/124416
22: 632357/663552
23: 25849/27648
24: 908083/995328
25: 73391/82944
26: 1696279/1990656
27: 11255/13824
28: 1535003/1990656
29: 59995/82944
30: 668279/995328
31: 631/1024
32: 1112177/1990656
33: 1/2
34: 878479/1990656
35: 393/1024
36: 327049/995328
37: 22949/82944
38: 455653/1990656
39: 2569/13824
40: 294377/1990656
41: 9553/82944
42: 87245/995328
43: 1799/27648
44: 31195/663552
45: 4103/124416
46: 44581/1990656
47: 1217/82944
48: 9193/995328
49: 461/82944
50: 6325/1990656
51: 71/41472
52: 571/663552
53: 11/27648
54: 55/331776
55: 5/82944
56: 1/55296
57: 1/248832
58: 1/1990656

Dice: [4, 4, 8, 8, 8, 12, 12]
7: 1/1
8: 1179647/1179648
9: 147455/147456
10: 32767/32768
11: 49147/49152
12: 147415/147456
13: 147359/147456
14: 98167/98304
15: 49019/49152
16: 1173875/1179648
17: 24371/24576
18: 145463/147456
19: 24061/24576
20: 571393/589824
21: 11735/12288
22: 69097/73728
23: 3747/4096
24: 1046813/1179648
25: 42011/49152
26: 26761/32768
27: 114047/147456
28: 427825/589824
29: 11027/16384
30: 20229/32768
31: 82469/147456
32: 1/2
33: 64987/147456
34: 12539/32768
35: 5357/16384
36: 161999/589824
37: 33409/147456
38: 6007/32768
39: 7141/49152
40: 132835/1179648
41: 349/4096
42: 4631/73728
43: 553/12288
44: 18431/589824
45: 515/24576
46: 1993/147456
47: 205/24576
48: 5773/1179648
49: 133/49152
50: 137/98304
51: 97/147456
52: 41/147456
53: 5/49152
54: 1/32768
55: 1/147456
56: 1/1179648

Dice: [4, 6, 8, 8, 8, 12, 12]
7: 1/1
8: 1769471/1769472
9: 221183/221184
10: 49151/49152
11: 73723/73728
12: 1769143/1769472
13: 110543/110592
14: 1767793/1769472
15: 220771/221184
16: 97967/98304
17: 219871/221184
18: 584059/589824
19: 108889/110592
20: 432047/442368
21: 106817/110592
22: 841927/884736
23: 51611/55296
24: 179033/196608
25: 195301/221184
26: 31343/36864
27: 179671/221184
28: 1361395/1769472
29: 39913/55296
30: 1185895/1769472
31: 5041/8192
32: 987823/1769472
33: 1/2
34: 781649/1769472
35: 3151/8192
36: 583577/1769472
37: 15383/55296
38: 408077/1769472
39: 41513/221184
40: 5521/36864
41: 25883/221184
42: 17575/196608
43: 3685/55296
44: 42809/884736
45: 3775/110592
46: 10321/442368
47: 1703/110592
48: 5765/589824
49: 1313/221184
50: 337/98304
51: 413/221184
52: 1679/1769472
53: 49/110592
54: 329/1769472
55: 5/73728
56: 1/49152
57: 1/221184
58: 1/1769472

Dice: [6, 6, 8, 8, 8, 12, 12]
7: 1/1
8: 2654207/2654208
9: 331775/331776
10: 73727/73728
11: 110587/110592
12: 442313/442368
13: 36853/36864
14: 1326247/1327104
15: 331349/331776
16: 110327/110592
17: 330379/331776
18: 329441/331776
19: 36449/36864
20: 2608243/2654208
21: 161621/165888
22: 106499/110592
23: 157307/165888
24: 2467363/2654208
25: 100255/110592
26: 583063/663552
27: 280651/331776
28: 89371/110592
29: 253973/331776
30: 953425/1327104
31: 73819/110592
32: 1628263/2654208
33: 92447/165888
34: 1/2
35: 73441/165888
36: 1025945/2654208
37: 36773/110592
38: 373679/1327104
39: 77803/331776
40: 21221/110592
41: 51125/331776
42: 80489/663552
43: 10337/110592
44: 186845/2654208
45: 8581/165888
46: 4093/110592
47: 4267/165888
48: 45965/2654208
49: 415/36864
50: 2335/331776
51: 1397/331776
52: 265/110592
53: 427/331776
54: 857/1327104
55: 11/36864
56: 55/442368
57: 5/110592
58: 1/73728
59: 1/331776
60: 1/2654208

Dice: [4, 8, 8, 8, 8, 12, 12]
7: 1/1
8: 2359295/2359296
9: 294911/294912
10: 65535/65536
11: 98299/98304
12: 2358967/2359296
13: 147407/147456
14: 49117/49152
15: 16361/16384
16: 2353195/2359296
17: 293585/294912
18: 585427/589824
19: 97141/98304
20: 2316661/2359296
21: 15947/16384
22: 283657/294912
23: 46543/49152
24: 2189599/2359296
25: 88951/98304
26: 517237/589824
27: 248939/294912
28: 1902463/2359296
29: 18773/24576
30: 23495/32768
31: 49129/73728
32: 722737/1179648
33: 82115/147456
34: 1/2
35: 65341/147456
36: 456911/1179648
37: 24599/73728
38: 9273/32768
39: 5803/24576
40: 456833/2359296
41: 45973/294912
42: 72587/589824
43: 9353/98304
44: 169697/2359296
45: 2609/49152
46: 11255/294912
47: 437/16384
48: 42635/2359296
49: 1163/98304
50: 4397/589824
51: 1327/294912
52: 6101/2359296
53: 23/16384
54: 35/49152
55: 49/147456
56: 329/2359296
57: 5/98304
58: 1/65536
59: 1/294912
60: 1/2359296

Dice: [6, 8, 8, 8, 8, 12, 12]
7: 1/1
8: 3538943/3538944
9: 442367/442368
10: 98303/98304
11: 147451/147456
12: 589769/589824
13: 49141/49152
14: 3537229/3538944
15: 110485/110592
16: 3532549/3538944
17: 440957/442368
18: 1759985/1769472
19: 146183/147456
20: 1745797/1769472
21: 433505/442368
22: 3436031/3538944
23: 212111/221184
24: 3339485/3538944
25: 408935/442368
26: 1594159/1769472
27: 128705/147456
28: 743173/884736
29: 354953/442368
30: 2690359/3538944
31: 157889/221184
32: 1174609/1769472
33: 67561/110592
34: 9109/16384
35: 1/2
36: 7275/16384
37: 43031/110592
38: 594863/1769472
39: 63295/221184
40: 848585/3538944
41: 87415/442368
42: 141563/884736
43: 18751/147456
44: 175313/1769472
45: 33433/442368
46: 199459/3538944
47: 9073/221184
48: 102913/3538944
49: 8863/442368
50: 23675/1769472
51: 1273/147456
52: 9487/1769472
53: 1411/442368
54: 6395/3538944
55: 107/110592
56: 1715/3538944
57: 11/49152
58: 55/589824
59: 5/147456
60: 1/98304
61: 1/442368
62: 1/3538944

Dice: [8, 8, 8, 8, 8, 12, 12]
7: 1/1
8: 4718591/4718592
9: 589823/589824
10: 131071/131072
11: 196603/196608
12: 786377/786432
13: 65525/65536
14: 393073/393216
15: 196465/196608
16: 2356081/2359296
17: 196133/196608
18: 1174831/1179648
19: 195307/196608
20: 145933/147456
21: 580631/589824
22: 384247/393216
23: 63409/65536
24: 1126565/1179648
25: 184633/196608
26: 361517/393216
27: 528197/589824
28: 2046031/2359296
29: 54681/65536
30: 940147/1179648
31: 49495/65536
32: 371993/524288
33: 194753/294912
34: 39879/65536
35: 54533/98304
36: 1/2
37: 43771/98304
38: 25657/65536
39: 100159/294912
40: 152295/524288
41: 16041/65536
42: 239501/1179648
43: 10855/65536
44: 313265/2359296
45: 61627/589824
46: 31699/393216
47: 11975/196608
48: 53083/1179648
49: 2127/65536
50: 8969/393216
51: 9193/589824
52: 1523/147456
53: 1301/196608
54: 4817/1179648
55: 475/196608
56: 3215/2359296
57: 143/196608
58: 143/393216
59: 11/65536
60: 55/786432
61: 5/196608
62: 1/131072
63: 1/589824
64: 1/4718592

Dice: [4, 4, 4, 4, 12, 12, 12]
7: 1/1
8: 442367/442368
9: 55295/55296
10: 12287/12288
11: 18427/18432
12: 221021/221184
13: 55201/55296
14: 36733/36864
15: 6103/6144
16: 48583/49152
17: 3391/3456
18: 839/864
19: 1103/1152
20: 415747/442368
21: 16913/18432
22: 98459/110592
23: 5269/6144
24: 181225/221184
25: 42893/55296
26: 80411/110592
27: 37283/55296
28: 30379/49152
29: 967/1728
30: 1/2
31: 761/1728
32: 18773/49152
33: 18013/55296
34: 30181/110592
35: 12403/55296
36: 39959/221184
37: 875/6144
38: 12133/110592
39: 1519/18432
40: 26621/442368
41: 49/1152
42: 25/864
43: 65/3456
44: 569/49152
45: 41/6144
46: 131/36864
47: 95/55296
48: 163/221184
49: 5/18432
50: 1/12288
51: 1/55296
52: 1/442368

Dice: [4, 4, 4, 6, 12, 12, 12]
7: 1/1
8: 663551/663552
9: 82943/82944
10: 18431/18432
11: 27643/27648
12: 221075/221184
13: 863/864
14: 661945/663552
15: 82561/82944
16: 54845/55296
17: 81823/82944
18: 649471/663552
19: 1673/1728
20: 633091/663552
21: 77635/82944
22: 16835/18432
23: 73469/82944
24: 565973/663552
25: 22/27
26: 511957/663552
27: 60013/82944
28: 37129/55296
29: 51107/82944
30: 370691/663552
31: 1/2
32: 292861/663552
33: 31837/82944
34: 18167/55296
35: 22931/82944
36: 151595/663552
37: 5/27
38: 97579/663552
39: 9475/82944
40: 1597/18432
41: 5309/82944
42: 30461/663552
43: 55/1728
44: 14081/663552
45: 1121/82944
46: 451/55296
47: 383/82944
48: 1607/663552
49: 1/864
50: 109/221184
51: 5/27648
52: 1/18432
53: 1/82944
54: 1/663552

Dice: [4, 4, 6, 6, 12, 12, 12]
7: 1/1
8: 995327/995328
9: 124415/124416
10: 27647/27648
11: 41467/41472
12: 124375/124416
13: 124319/124416
14: 496843/497664
15: 124019/124416
16: 123703/124416
17: 41071/41472
18: 81661/82944
19: 121475/124416
20: 480385/497664
21: 4381/4608
22: 77321/82944
23: 12569/13824
24: 36553/41472
25: 35189/41472
26: 134453/165888
27: 393/512
28: 9955/13824
29: 9245/13824
30: 50953/82944
31: 23129/41472
32: 1/2
33: 18343/41472
34: 31991/82944
35: 4579/13824
36: 3869/13824
37: 119/512
38: 31435/165888
39: 6283/41472
40: 4919/41472
41: 1255/13824
42: 5623/82944
43: 227/4608
44: 17279/497664
45: 2941/124416
46: 1283/82944
47: 401/41472
48: 713/124416
49: 397/124416
50: 821/497664
51: 97/124416
52: 41/124416
53: 5/41472
54: 1/27648
55: 1/124416
56: 1/995328

Dice: [4, 6, 6, 6, 12, 12, 12]
7: 1/1
8: 1492991/1492992
9: 186623/186624
10: 41471/41472
11: 62203/62208
12: 1492663/1492992
13: 93263/93312
14: 497105/497664
15: 62071/62208
16: 495665/497664
17: 92669/93312
18: 1476247/1492992
19: 61123/62208
20: 484693/497664
21: 89803/93312
22: 1414475/1492992
23: 19253/20736
24: 450473/497664
25: 27283/31104
26: 140047/165888
27: 16721/20736
28: 126703/165888
29: 22297/31104
30: 331529/497664
31: 12701/20736
32: 277091/497664
33: 1/2
34: 220573/497664
35: 8035/20736
36: 166135/497664
37: 8807/31104
38: 39185/165888
39: 4015/20736
40: 25841/165888
41: 3821/31104
42: 47191/497664
43: 1483/20736
44: 78517/1492992
45: 3509/93312
46: 12971/497664
47: 1085/62208
48: 16745/1492992
49: 643/93312
50: 1999/497664
51: 137/62208
52: 559/497664
53: 49/93312
54: 329/1492992
55: 5/62208
56: 1/41472
57: 1/186624
58: 1/1492992

Dice: [6, 6, 6, 6, 12, 12, 12]
7: 1/1
8: 2239487/2239488
9: 279935/279936
10: 62207/62208
11: 93307/93312
12: 373193/373248
13: 31093/31104
14: 139861/139968
15: 279511/279936
16: 82711/82944
17: 139283/139968
18: 138835/139968
19: 15353/15552
20: 731987/746496
21: 90653/93312
22: 29845/31104
23: 264293/279936
24: 2071133/2239488
25: 73/81
26: 40733/46656
27: 9799/11664
28: 2465/3072
29: 70931/93312
30: 33299/46656
31: 6881/10368
32: 455945/746496
33: 1621/2916
34: 1/2
35: 1295/2916
36: 290551/746496
37: 3487/10368
38: 13357/46656
39: 22381/93312
40: 607/3072
41: 1865/11664
42: 5923/46656
43: 8/81
44: 168355/2239488
45: 15643/279936
46: 1259/31104
47: 2659/93312
48: 14509/746496
49: 199/15552
50: 1133/139968
51: 685/139968
52: 233/82944
53: 425/279936
54: 107/139968
55: 11/31104
56: 55/373248
57: 5/93312
58: 1/62208
59: 1/279936
60: 1/2239488

Dice: [4, 4, 4, 8, 12, 12, 12]
7: 1/1
8: 884735/884736
9: 110591/110592
10: 24575/24576
11: 36859/36864
12: 294803/294912
13: 1151/1152
14: 36797/36864
15: 287/288
16: 879289/884736
17: 109457/110592
18: 217591/221184
19: 35957/36864
20: 426497/442368
21: 104995/110592
22: 68617/73728
23: 33455/36864
24: 259399/294912
25: 1463/1728
26: 89435/110592
27: 2647/3456
28: 635861/884736
29: 73837/110592
30: 135707/221184
31: 20545/36864
32: 1/2
33: 16319/36864
34: 85477/221184
35: 36755/110592
36: 248875/884736
37: 809/3456
38: 21157/110592
39: 265/1728
40: 35513/294912
41: 3409/36864
42: 5111/73728
43: 5597/110592
44: 15871/442368
45: 907/36864
46: 3593/221184
47: 1135/110592
48: 5447/884736
49: 1/288
50: 67/36864
51: 1/1152
52: 109/294912
53: 5/36864
54: 1/24576
55: 1/110592
56: 1/884736

Dice: [4, 4, 6, 8, 12, 12, 12]
7: 1/1
8: 1327103/1327104
9: 165887/165888
10: 36863/36864
11: 55291/55296
12: 165847/165888
13: 165791/165888
14: 1325461/1327104
15: 82745/82944
16: 440455/442368
17: 164671/165888
18: 163927/165888
19: 162865/165888
20: 1291231/1327104
21: 79729/82944
22: 1255531/1327104
23: 153773/165888
24: 49961/55296
25: 145219/165888
26: 1118017/1327104
27: 22247/27648
28: 1011521/1327104
29: 118691/165888
30: 12259/18432
31: 101485/165888
32: 738409/1327104
33: 1/2
34: 588695/1327104
35: 64403/165888
36: 6173/18432
37: 47197/165888
38: 315583/1327104
39: 5401/27648
40: 209087/1327104
41: 20669/165888
42: 5335/55296
43: 12115/165888
44: 71573/1327104
45: 3215/82944
46: 35873/1327104
47: 3023/165888
48: 1961/165888
49: 1217/165888
50: 1913/442368
51: 199/82944
52: 1643/1327104
53: 97/165888
54: 41/165888
55: 5/55296
56: 1/36864
57: 1/165888
58: 1/1327104

Dice: [4, 6, 6, 8, 12, 12, 12]
7: 1/1
8: 1990655/1990656
9: 248831/248832
10: 55295/55296
11: 82939/82944
12: 1990327/1990656
13: 124367/124416
14: 994489/995328
15: 62105/62208
16: 124039/124416
17: 61883/62208
18: 986809/995328
19: 122747/124416
20: 975197/995328
21: 20125/20736
22: 26497/27648
23: 58649/62208
24: 919021/995328
25: 37309/41472
26: 96365/110592
27: 5795/6912
28: 33209/41472
29: 15731/20736
30: 236359/331776
31: 27481/41472
32: 16867/27648
33: 23039/41472
34: 1/2
35: 18433/41472
36: 10781/27648
37: 13991/41472
38: 95417/331776
39: 5005/20736
40: 8263/41472
41: 1117/6912
42: 14227/110592
43: 4163/41472
44: 76307/995328
45: 3559/62208
46: 1151/27648
47: 611/20736
48: 20131/995328
49: 1669/124416
50: 8519/995328
51: 325/62208
52: 377/124416
53: 103/62208
54: 839/995328
55: 49/124416
56: 329/1990656
57: 5/82944
58: 1/55296
59: 1/248832
60: 1/1990656

Dice: [6, 6, 6, 8, 12, 12, 12]
7: 1/1
8: 2985983/2985984
9: 373247/373248
10: 82943/82944
11: 124411/124416
12: 497609/497664
13: 41461/41472
14: 994757/995328
15: 62137/62208
16: 1489829/1492992
17: 46483/46656
18: 1483781/1492992
19: 61597/62208
20: 163393/165888
21: 7603/7776
22: 481787/497664
23: 59441/62208
24: 155861/165888
25: 42913/46656
26: 1337449/1492992
27: 17987/20736
28: 415291/497664
29: 12395/15552
30: 375835/497664
31: 14711/20736
32: 41075/62208
33: 37849/62208
34: 92017/165888
35: 1/2
36: 73871/165888
37: 24359/62208
38: 21133/62208
39: 6025/20736
40: 121829/497664
41: 3157/15552
42: 82373/497664
43: 2749/20736
44: 155543/1492992
45: 3743/46656
46: 10027/165888
47: 2767/62208
48: 15877/497664
49: 173/7776
50: 2495/165888
51: 611/62208
52: 9211/1492992
53: 173/46656
54: 3163/1492992
55: 71/62208
56: 571/995328
57: 11/41472
58: 55/497664
59: 5/124416
60: 1/82944
61: 1/373248
62: 1/2985984

Dice: [4, 4, 8, 8, 12, 12, 12]
7: 1/1
8: 1769471/1769472
9: 221183/221184
10: 49151/49152
11: 73723/73728
12: 221143/221184
13: 221087/221184
14: 147319/147456
15: 73595/73728
16: 881849/884736
17: 219953/221184
18: 438373/442368
19: 8077/8192
20: 1732283/1769472
21: 5957/6144
22: 211721/221184
23: 17353/18432
24: 1631191/1769472
25: 66209/73728
26: 384721/442368
27: 185069/221184
28: 707029/884736
29: 55823/73728
30: 11651/16384
31: 146339/221184
32: 1078229/1769472
33: 61397/110592
34: 1/2
35: 49195/110592
36: 691243/1769472
37: 74845/221184
38: 4733/16384
39: 17905/73728
40: 177707/884736
41: 36115/221184
42: 57647/442368
43: 7519/73728
44: 138281/1769472
45: 1079/18432
46: 9463/221184
47: 187/6144
48: 37189/1769472
49: 115/8192
50: 3995/442368
51: 1231/221184
52: 2887/884736
53: 133/73728
54: 137/147456
55: 97/221184
56: 41/221184
57: 5/73728
58: 1/49152
59: 1/221184
60: 1/1769472

Dice: [4, 6, 8, 8, 12, 12, 12]
7: 1/1
8: 2654207/2654208
9: 331775/331776
10: 73727/73728
11: 110587/110592
12: 2653879/2654208
13: 165839/165888
14: 2652529/2654208
15: 331363/331776
16: 2648141/2654208
17: 18359/18432
18: 878959/884736
19: 328355/331776
20: 653149/663552
21: 108043/110592
22: 855649/884736
23: 17591/18432
24: 2490295/2654208
25: 33853/36864
26: 593387/663552
27: 287255/331776
28: 2210585/2654208
29: 43985/55296
30: 2000665/2654208
31: 234967/331776
32: 291655/442368
33: 201635/331776
34: 1471343/2654208
35: 1/2
36: 1182865/2654208
37: 130141/331776
38: 150713/442368
39: 96809/331776
40: 653543/2654208
41: 11311/55296
42: 443623/2654208
43: 44521/331776
44: 70165/663552
45: 3011/36864
46: 163913/2654208
47: 841/18432
48: 29087/884736
49: 2549/110592
50: 10403/663552
51: 3421/331776
52: 5777/884736
53: 73/18432
54: 6067/2654208
55: 413/331776
56: 1679/2654208
57: 49/165888
58: 329/2654208
59: 5/110592
60: 1/73728
61: 1/331776
62: 1/2654208

Dice: [6, 6, 8, 8, 12, 12, 12]
7: 1/1
8: 3981311/3981312
9: 497663/497664
10: 110591/110592
11: 165883/165888
12: 663497/663552
13: 55285/55296
14: 1989799/1990656
15: 497237/497664
16: 3974951/3981312
17: 82711/82944
18: 990649/995328
19: 82319/82944
20: 1967509/1990656
21: 61129/62208
22: 1940701/1990656
23: 80015/82944
24: 315703/331776
25: 25853/27648
26: 67451/73728
27: 27701/31104
28: 1716037/1990656
29: 68771/82944
30: 262727/331776
31: 62251/82944
32: 117019/165888
33: 18167/27648
34: 402247/663552
35: 22957/41472
36: 1/2
37: 18515/41472
38: 261305/663552
39: 9481/27648
40: 48869/165888
41: 20693/82944
42: 69049/331776
43: 14173/82944
44: 274619/1990656
45: 3403/31104
46: 6277/73728
47: 1795/27648
48: 16073/331776
49: 2929/82944
50: 49955/1990656
51: 1079/62208
52: 23147/1990656
53: 625/82944
54: 4679/995328
55: 233/82944
56: 6361/3981312
57: 427/497664
58: 857/1990656
59: 11/55296
60: 55/663552
61: 5/165888
62: 1/110592
63: 1/497664
64: 1/3981312

Dice: [4, 8, 8, 8, 12, 12, 12]
7: 1/1
8: 3538943/3538944
9: 442367/442368
10: 98303/98304
11: 147451/147456
12: 3538615/3538944
13: 221135/221184
14: 73693/73728
15: 24553/24576
16: 65423/65536
17: 27565/27648
18: 440165/442368
19: 9143/9216
20: 1165327/1179648
21: 434405/442368
22: 861815/884736
23: 142105/147456
24: 560579/589824
25: 137693/147456
26: 808163/884736
27: 393305/442368
28: 112787/131072
29: 7627/9216
30: 349649/442368
31: 20713/27648
32: 2492287/3538944
33: 290263/442368
34: 19843/32768
35: 244729/442368
36: 1/2
37: 197639/442368
38: 12925/32768
39: 152105/442368
40: 1046657/3538944
41: 6935/27648
42: 92719/442368
43: 1589/9216
44: 18285/131072
45: 49063/442368
46: 76573/884736
47: 9763/147456
48: 29245/589824
49: 5351/147456
50: 22921/884736
51: 7963/442368
52: 14321/1179648
53: 73/9216
54: 2203/442368
55: 83/27648
56: 113/65536
57: 23/24576
58: 35/73728
59: 49/221184
60: 329/3538944
61: 5/147456
62: 1/98304
63: 1/442368
64: 1/3538944

Dice: [6, 8, 8, 8, 12, 12, 12]
7: 1/1
8: 5308415/5308416
9: 663551/663552
10: 147455/147456
11: 221179/221184
12: 884681/884736
13: 73717/73728
14: 5306701/5308416
15: 165781/165888
16: 441835/442368
17: 165535/165888
18: 2644703/2654208
19: 12217/12288
20: 1753579/1769472
21: 218197/221184
22: 108413/110592
23: 644993/663552
24: 5102891/5308416
25: 104801/110592
26: 4940495/5308416
27: 603893/663552
28: 32645/36864
29: 189529/221184
30: 1458071/1769472
31: 87037/110592
32: 3960515/5308416
33: 465545/663552
34: 144667/221184
35: 400855/663552
36: 2932795/5308416
37: 1/2
38: 2375621/5308416
39: 262697/663552
40: 76517/221184
41: 198007/663552
42: 1347901/5308416
43: 23555/110592
44: 311401/1769472
45: 31655/221184
46: 4219/36864
47: 59659/663552
48: 367921/5308416
49: 5791/110592
50: 205525/5308416
51: 18559/663552
52: 2179/110592
53: 2987/221184
54: 15893/1769472
55: 71/12288
56: 9505/2654208
57: 353/165888
58: 533/442368
59: 107/165888
60: 1715/5308416
61: 11/73728
62: 55/884736
63: 5/221184
64: 1/147456
65: 1/663552
66: 1/5308416

Dice: [8, 8, 8, 8, 12, 12, 12]
7: 1/1
8: 7077887/7077888
9: 884735/884736
10: 196607/196608
11: 294907/294912
12: 1179593/1179648
13: 98293/98304
14: 589681/589824
15: 294769/294912
16: 7071457/7077888
17: 441655/442368
18: 882323/884736
19: 146803/147456
20: 2342941/2359296
21: 291815/294912
22: 580715/589824
23: 96131/98304
24: 2286485/2359296
25: 211871/221184
26: 834989/884736
27: 204905/221184
28: 2136241/2359296
29: 86575/98304
30: 502487/589824
31: 241571/294912
32: 21631/27648
33: 656359/884736
34: 1235059/1769472
35: 576137/884736
36: 4261759/7077888
37: 81317/147456
38: 1/2
39: 66139/147456
40: 2816129/7077888
41: 308599/884736
42: 534413/1769472
43: 228377/884736
44: 6017/27648
45: 53341/294912
46: 87337/589824
47: 11729/98304
48: 223055/2359296
49: 16279/221184
50: 49747/884736
51: 9313/221184
52: 72811/2359296
53: 2173/98304
54: 9109/589824
55: 3097/294912
56: 16355/2359296
57: 653/147456
58: 2413/884736
59: 713/442368
60: 6431/7077888
61: 143/294912
62: 143/589824
63: 11/98304
64: 55/1179648
65: 5/294912
66: 1/196608
67: 1/884736
68: 1/7077888

Dice: [4, 4, 4, 12, 12, 12, 12]
7: 1/1
8: 1327103/1327104
9: 165887/165888
10: 36863/36864
11: 55291/55296
12: 442259/442368
13: 1727/1728
14: 55229/55296
15: 431/432
16: 55069/55296
17: 10297/10368
18: 164087/165888
19: 1133/1152
20: 323759/331776
21: 40049/41472
22: 52675/55296
23: 12941/13824
24: 101287/110592
25: 1027/1152
26: 143131/165888
27: 8603/10368
28: 43817/55296
29: 3893/5184
30: 117083/165888
31: 71/108
32: 402409/663552
33: 45925/82944
34: 1/2
35: 37019/82944
36: 261143/663552
37: 37/108
38: 48805/165888
39: 1291/5184
40: 11479/55296
41: 1765/10368
42: 22757/165888
43: 125/1152
44: 9305/110592
45: 883/13824
46: 2621/55296
47: 1423/41472
48: 8017/331776
49: 19/1152
50: 1801/165888
51: 71/10368
52: 227/55296
53: 1/432
54: 67/55296
55: 1/1728
56: 109/442368
57: 5/55296
58: 1/36864
59: 1/165888
60: 1/1327104

Dice: [4, 4, 6, 12, 12, 12, 12]
7: 1/1
8: 1990655/1990656
9: 248831/248832
10: 55295/55296
11: 82939/82944
12: 248791/248832
13: 248735/248832
14: 1989013/1990656
15: 124217/124416
16: 496229/497664
17: 41269/41472
18: 493733/497664
19: 122897/124416
20: 244307/248832
21: 121153/124416
22: 479369/497664
23: 39389/41472
24: 51589/55296
25: 113521/124416
26: 27617/31104
27: 3959/4608
28: 137051/165888
29: 10907/13824
30: 41353/55296
31: 29159/41472
32: 217397/331776
33: 49/81
34: 91721/165888
35: 1/2
36: 74167/165888
37: 32/81
38: 114379/331776
39: 12313/41472
40: 13943/55296
41: 2917/13824
42: 28837/165888
43: 649/4608
44: 3487/31104
45: 10895/124416
46: 3707/55296
47: 2083/41472
48: 18295/497664
49: 3263/124416
50: 4525/248832
51: 1519/124416
52: 3931/497664
53: 203/41472
54: 1435/497664
55: 199/124416
56: 1643/1990656
57: 97/248832
58: 41/248832
59: 5/82944
60: 1/55296
61: 1/248832
62: 1/1990656

Dice: [4, 6, 6, 12, 12, 12, 12]
7: 1/1
8: 2985983/2985984
9: 373247/373248
10: 82943/82944
11: 124411/124416
12: 2985655/2985984
13: 186575/186624
14: 1492153/1492992
15: 93209/93312
16: 993317/995328
17: 371947/373248
18: 1484455/1492992
19: 369895/373248
20: 163633/165888
21: 365819/373248
22: 1450735/1492992
23: 358615/373248
24: 1413833/1492992
25: 38563/41472
26: 452417/497664
27: 330095/373248
28: 1277401/1492992
29: 102353/124416
30: 391001/497664
31: 92669/124416
32: 43577/62208
33: 27089/41472
34: 300341/497664
35: 68699/124416
36: 1/2
37: 55717/124416
38: 197323/497664
39: 14383/41472
40: 18631/62208
41: 31747/124416
42: 106663/497664
43: 22063/124416
44: 215591/1492992
45: 43153/373248
46: 45247/497664
47: 2909/41472
48: 79159/1492992
49: 14633/373248
50: 42257/1492992
51: 7429/373248
52: 2255/165888
53: 3353/373248
54: 8537/1492992
55: 1301/373248
56: 2011/995328
57: 103/93312
58: 839/1492992
59: 49/186624
60: 329/2985984
61: 5/124416
62: 1/82944
63: 1/373248
64: 1/2985984

Dice: [6, 6, 6, 12, 12, 12, 12]
7: 1/1
8: 4478975/4478976
9: 559871/559872
10: 124415/124416
11: 186619/186624
12: 746441/746496
13: 62197/62208
14: 1492421/1492992
15: 93241/93312
16: 496961/497664
17: 558487/559872
18: 2230259/2239488
19: 61799/62208
20: 4433737/4478976
21: 275735/279936
22: 486893/497664
23: 180953/186624
24: 1430831/1492992
25: 29369/31104
26: 1383715/1492992
27: 169045/186624
28: 438425/497664
29: 238543/279936
30: 3669485/4478976
31: 16225/20736
32: 1107673/1492992
33: 16283/23328
34: 4001/6144
35: 37457/62208
36: 274445/497664
37: 1/2
38: 223219/497664
39: 24751/62208
40: 2143/6144
41: 7045/23328
42: 385319/1492992
43: 4511/20736
44: 809491/4478976
45: 41393/279936
46: 59239/497664
47: 17579/186624
48: 109277/1492992
49: 1735/31104
50: 62161/1492992
51: 5671/186624
52: 10771/497664
53: 4201/279936
54: 45239/4478976
55: 409/62208
56: 9229/2239488
57: 1385/559872
58: 703/497664
59: 71/93312
60: 571/1492992
61: 11/62208
62: 55/746496
63: 5/186624
64: 1/124416
65: 1/559872
66: 1/4478976

Dice: [4, 4, 8, 12, 12, 12, 12]
7: 1/1
8: 2654207/2654208
9: 331775/331776
10: 73727/73728
11: 110587/110592
12: 331735/331776
13: 331679/331776
14: 221047/221184
15: 110459/110592
16: 882811/884736
17: 20659/20736
18: 164887/165888
19: 6847/6912
20: 654173/663552
21: 27079/27648
22: 5033/5184
23: 26537/27648
24: 156905/165888
25: 77021/82944
26: 75289/82944
27: 73235/82944
28: 188921/221184
29: 17029/20736
30: 43369/55296
31: 15419/20736
32: 928213/1327104
33: 36071/55296
34: 200027/331776
35: 91547/165888
36: 1/2
37: 74341/165888
38: 131749/331776
39: 19225/55296
40: 398891/1327104
41: 5317/20736
42: 11927/55296
43: 3707/20736
44: 32263/221184
45: 9709/82944
46: 7655/82944
47: 5923/82944
48: 8983/165888
49: 1111/27648
50: 151/5184
51: 569/27648
52: 9379/663552
53: 65/6912
54: 1001/165888
55: 77/20736
56: 1925/884736
57: 133/110592
58: 137/221184
59: 97/331776
60: 41/331776
61: 5/110592
62: 1/73728
63: 1/331776
64: 1/2654208

Dice: [4, 6, 8, 12, 12, 12, 12]
7: 1/1
8: 3981311/3981312
9: 497663/497664
10: 110591/110592
11: 165883/165888
12: 3980983/3981312
13: 248783/248832
14: 3979633/3981312
15: 497251/497664
16: 993811/995328
17: 496349/497664
18: 1321315/1327104
19: 123557/124416
20: 109427/110592
21: 7655/7776
22: 486551/497664
23: 30133/31104
24: 952915/995328
25: 117337/124416
26: 921241/995328
27: 18755/20736
28: 145909/165888
29: 52921/62208
30: 814049/995328
31: 32395/41472
32: 54611/73728
33: 57809/82944
34: 53945/82944
35: 49895/82944
36: 365731/663552
37: 1/2
38: 297821/663552
39: 33049/82944
40: 28999/82944
41: 25135/82944
42: 19117/73728
43: 9077/41472
44: 181279/995328
45: 9287/62208
46: 19979/165888
47: 1981/20736
48: 74087/995328
49: 7079/124416
50: 42413/995328
51: 971/31104
52: 11113/497664
53: 121/7776
54: 1165/110592
55: 859/124416
56: 5789/1327104
57: 1315/497664
58: 1517/995328
59: 413/497664
60: 1679/3981312
61: 49/248832
62: 329/3981312
63: 5/165888
64: 1/110592
65: 1/497664
66: 1/3981312

Dice: [6, 6, 8, 12, 12, 12, 12]
7: 1/1
8: 5971967/5971968
9: 746495/746496
10: 165887/165888
11: 248827/248832
12: 995273/995328
13: 82933/82944
14: 2985127/2985984
15: 746069/746496
16: 2982803/2985984
17: 745097/746496
18: 93019/93312
19: 247577/248832
20: 1975115/1990656
21: 40987/41472
22: 1467595/1492992
23: 364255/373248
24: 1443265/1492992
25: 356443/373248
26: 1403993/1492992
27: 114785/124416
28: 149513/165888
29: 109021/124416
30: 421709/497664
31: 304051/373248
32: 2323249/2985984
33: 45905/62208
34: 345671/497664
35: 20171/31104
36: 74681/124416
37: 17123/31104
38: 1/2
39: 13981/31104
40: 49735/124416
41: 10933/31104
42: 151993/497664
43: 16303/62208
44: 662735/2985984
45: 69197/373248
46: 75955/497664
47: 15395/124416
48: 16375/165888
49: 9631/124416
50: 88999/1492992
51: 16805/373248
52: 49727/1492992
53: 8993/373248
54: 25397/1492992
55: 485/41472
56: 15541/1990656
57: 1255/248832
58: 293/93312
59: 1399/746496
60: 3181/2985984
61: 427/746496
62: 857/2985984
63: 11/82944
64: 55/995328
65: 5/248832
66: 1/165888
67: 1/746496
68: 1/5971968

Dice: [4, 8, 8, 12, 12, 12, 12]
7: 1/1
8: 5308415/5308416
9: 663551/663552
10: 147455/147456
11: 221179/221184
12: 5308087/5308416
13: 331727/331776
14: 110557/110592
15: 36841/36864
16: 5302313/5308416
17: 220741/221184
18: 1322689/1327104
19: 73337/73728
20: 5265125/5308416
21: 163873/165888
22: 325943/331776
23: 17975/18432
24: 1281793/1327104
25: 79129/82944
26: 5771/6144
27: 76423/82944
28: 1194383/1327104
29: 48379/55296
30: 280685/331776
31: 134911/165888
32: 2061739/2654208
33: 244445/331776
34: 460241/663552
35: 71633/110592
36: 1591765/2654208
37: 91277/165888
38: 1/2
39: 74611/165888
40: 1062443/2654208
41: 38959/110592
42: 203311/663552
43: 87331/331776
44: 592469/2654208
45: 30977/165888
46: 51091/331776
47: 6917/55296
48: 132721/1327104
49: 6521/82944
50: 373/6144
51: 3815/82944
52: 45311/1327104
53: 457/18432
54: 5833/331776
55: 2015/165888
56: 43291/5308416
57: 391/73728
58: 4415/1327104
59: 443/221184
60: 6103/5308416
61: 23/36864
62: 35/110592
63: 49/331776
64: 329/5308416
65: 5/221184
66: 1/147456
67: 1/663552
68: 1/5308416

Dice: [6, 8, 8, 12, 12, 12, 12]
7: 1/1
8: 7962623/7962624
9: 995327/995328
10: 221183/221184
11: 331771/331776
12: 1327049/1327104
13: 110581/110592
14: 7960909/7962624
15: 248725/248832
16: 7956227/7962624
17: 110435/110592
18: 3971789/3981312
19: 330493/331776
20: 989327/995328
21: 986269/995328
22: 7856353/7962624
23: 27121/27648
24: 968879/995328
25: 79939/82944
26: 1894343/1990656
27: 116531/124416
28: 1828369/1990656
29: 74393/82944
30: 32135/36864
31: 69905/82944
32: 1075135/1327104
33: 385111/497664
34: 1461389/1990656
35: 114685/165888
36: 428615/663552
37: 99281/165888
38: 243127/442368
39: 1/2
40: 199241/442368
41: 66607/165888
42: 234937/663552
43: 51203/165888
44: 529267/1990656
45: 112553/497664
46: 251969/1327104
47: 13039/82944
48: 4729/36864
49: 8551/82944
50: 162287/1990656
51: 7885/124416
52: 96313/1990656
53: 3005/82944
54: 26449/995328
55: 527/27648
56: 106271/7962624
57: 9059/995328
58: 6001/995328
59: 1283/331776
60: 9523/3981312
61: 157/110592
62: 6397/7962624
63: 107/248832
64: 1715/7962624
65: 11/110592
66: 55/1327104
67: 5/331776
68: 1/221184
69: 1/995328
70: 1/7962624

Dice: [8, 8, 8, 12, 12, 12, 12]
7: 1/1
8: 10616831/10616832
9: 1327103/1327104
10: 294911/294912
11: 442363/442368
12: 1769417/1769472
13: 147445/147456
14: 884593/884736
15: 442225/442368
16: 110525/110592
17: 1325677/1327104
18: 2649373/2654208
19: 147019/147456
20: 5283719/5308416
21: 1317715/1327104
22: 291829/294912
23: 145237/147456
24: 3464099/3538944
25: 107377/110592
26: 637577/663552
27: 314621/331776
28: 51587/55296
29: 303395/331776
30: 592319/663552
31: 31973/36864
32: 4450505/5308416
33: 534719/663552
34: 340537/442368
35: 484721/663552
36: 28543/41472
37: 142333/221184
38: 792017/1327104
39: 364121/663552
40: 1/2
41: 299431/663552
42: 535087/1327104
43: 78851/221184
44: 12929/41472
45: 178831/663552
46: 101831/442368
47: 128833/663552
48: 857911/5308416
49: 4891/36864
50: 71233/663552
51: 28381/331776
52: 3709/55296
53: 17155/331776
54: 25975/663552
55: 3215/110592
56: 74845/3538944
57: 2219/147456
58: 3083/294912
59: 9389/1327104
60: 24697/5308416
61: 437/147456
62: 4835/2654208
63: 1427/1327104
64: 67/110592
65: 143/442368
66: 143/884736
67: 11/147456
68: 55/1769472
69: 5/442368
70: 1/294912
71: 1/1327104
72: 1/10616832

Dice: [4, 4, 12, 12, 12, 12, 12]
7: 1/1
8: 3981311/3981312
9: 497663/497664
10: 110591/110592
11: 165883/165888
12: 497623/497664
13: 497567/497664
14: 331639/331776
15: 165755/165888
16: 248471/248832
17: 55159/55296
18: 991315/995328
19: 164843/165888
20: 3943469/3981312
21: 40895/41472
22: 487799/497664
23: 4481/4608
24: 479017/497664
25: 39403/41472
26: 155081/165888
27: 114023/124416
28: 445261/497664
29: 36055/41472
30: 46471/55296
31: 100499/124416
32: 1535935/1990656
33: 60719/82944
34: 57193/82944
35: 17819/27648
36: 99113/165888
37: 15181/27648
38: 1/2
39: 12467/27648
40: 66775/165888
41: 9829/27648
42: 25751/82944
43: 22225/82944
44: 454721/1990656
45: 23917/124416
46: 8825/55296
47: 5417/41472
48: 52403/497664
49: 10393/124416
50: 10807/165888
51: 2069/41472
52: 18647/497664
53: 127/4608
54: 9865/497664
55: 577/41472
56: 37843/3981312
57: 1045/165888
58: 4013/995328
59: 137/55296
60: 361/248832
61: 133/165888
62: 137/331776
63: 97/497664
64: 41/497664
65: 5/165888
66: 1/110592
67: 1/497664
68: 1/3981312

Dice: [4, 6, 12, 12, 12, 12, 12]
7: 1/1
8: 5971967/5971968
9: 746495/746496
10: 165887/165888
11: 248827/248832
12: 5971639/5971968
13: 373199/373248
14: 5970289/5971968
15: 746083/746496
16: 1988633/1990656
17: 186295/186624
18: 1984855/1990656
19: 743045/746496
20: 1482425/1492992
21: 738655/746496
22: 5881421/5971968
23: 365281/373248
24: 6709/6912
25: 358481/373248
26: 235829/248832
27: 347957/373248
28: 341017/373248
29: 332837/373248
30: 646709/746496
31: 104179/124416
32: 267011/331776
33: 71737/93312
34: 272303/373248
35: 42763/62208
36: 639833/995328
37: 24731/41472
38: 545939/995328
39: 1/2
40: 449389/995328
41: 16741/41472
42: 355495/995328
43: 19445/62208
44: 100945/373248
45: 21575/93312
46: 64765/331776
47: 20237/124416
48: 99787/746496
49: 40411/373248
50: 32231/373248
51: 25291/373248
52: 13003/248832
53: 14767/373248
54: 203/6912
55: 7967/373248
56: 90547/5971968
57: 7841/746496
58: 10567/1492992
59: 3451/746496
60: 5801/1990656
61: 329/186624
62: 2023/1990656
63: 413/746496
64: 1679/5971968
65: 49/373248
66: 329/5971968
67: 5/248832
68: 1/165888
69: 1/746496
70: 1/5971968

Dice: [6, 6, 12, 12, 12, 12, 12]
7: 1/1
8: 8957951/8957952
9: 1119743/1119744
10: 248831/248832
11: 373243/373248
12: 1492937/1492992
13: 124405/124416
14: 4478119/4478976
15: 1119317/1119744
16: 994621/995328
17: 139793/139968
18: 2234791/2239488
19: 10333/10368
20: 1113875/1119744
21: 277729/279936
22: 491927/497664
23: 550673/559872
24: 8753011/8957952
25: 13393/13824
26: 4292441/4478976
27: 1058605/1119744
28: 462659/497664
29: 1019945/1119744
30: 3980989/4478976
31: 107413/124416
32: 622847/746496
33: 299309/373248
34: 381253/497664
35: 814199/1119744
36: 3069745/4478976
37: 26593/41472
38: 888665/1492992
39: 204517/373248
40: 1/2
41: 168731/373248
42: 604327/1492992
43: 14879/41472
44: 1409231/4478976
45: 305545/1119744
46: 116411/497664
47: 73939/373248
48: 123649/746496
49: 17003/124416
50: 497987/4478976
51: 99799/1119744
52: 35005/497664
53: 61139/1119744
54: 186535/4478976
55: 431/13824
56: 204941/8957952
57: 9199/559872
58: 5737/497664
59: 2207/279936
60: 5869/1119744
61: 35/10368
62: 4697/2239488
63: 175/139968
64: 707/995328
65: 427/1119744
66: 857/4478976
67: 11/124416
68: 55/1492992
69: 5/373248
70: 1/248832
71: 1/1119744
72: 1/8957952

Dice: [4, 8, 12, 12, 12, 12, 12]
7: 1/1
8: 7962623/7962624
9: 995327/995328
10: 221183/221184
11: 331771/331776
12: 7962295/7962624
13: 497615/497664
14: 165853/165888
15: 55273/55296
16: 994565/995328
17: 496999/497664
18: 248279/248832
19: 165299/165888
20: 7919005/7962624
21: 329057/331776
22: 1966913/1990656
23: 326159/331776
24: 7775605/7962624
25: 1487/1536
26: 476521/497664
27: 117505/124416
28: 462139/497664
29: 37729/41472
30: 147247/165888
31: 107261/124416
32: 3316979/3981312
33: 132829/165888
34: 253799/331776
35: 361369/497664
36: 2725291/3981312
37: 53131/82944
38: 98665/165888
39: 15143/27648
40: 1/2
41: 12505/27648
42: 67223/165888
43: 29813/82944
44: 1256021/3981312
45: 136295/497664
46: 77977/331776
47: 33059/165888
48: 664333/3981312
49: 17155/124416
50: 18641/165888
51: 3743/41472
52: 35525/497664
53: 6911/124416
54: 21143/497664
55: 49/1536
56: 187019/7962624
57: 5617/331776
58: 23743/1990656
59: 2719/331776
60: 43619/7962624
61: 589/165888
62: 553/248832
63: 665/497664
64: 763/995328
65: 23/55296
66: 35/165888
67: 49/497664
68: 329/7962624
69: 5/331776
70: 1/221184
71: 1/995328
72: 1/7962624

Dice: [6, 8, 12, 12, 12, 12, 12]
7: 1/1
8: 11943935/11943936
9: 1492991/1492992
10: 331775/331776
11: 497659/497664
12: 1990601/1990656
13: 165877/165888
14: 11942221/11943936
15: 373141/373248
16: 5968769/5971968
17: 745789/746496
18: 5962427/5971968
19: 62047/62208
20: 11895599/11943936
21: 1483835/1492992
22: 5917993/5971968
23: 1473607/1492992
24: 2931569/2985984
25: 1455617/1492992
26: 11541317/11943936
27: 118873/124416
28: 703303/746496
29: 345659/373248
30: 338549/373248
31: 330247/373248
32: 5131235/5971968
33: 22955/27648
34: 397105/497664
35: 63235/82944
36: 720433/995328
37: 509527/746496
38: 3816241/5971968
39: 73867/124416
40: 181537/331776
41: 1/2
42: 150239/331776
43: 50549/124416
44: 2155727/5971968
45: 236969/746496
46: 274895/995328
47: 19709/82944
48: 100559/497664
49: 4693/27648
50: 840733/5971968
51: 43001/373248
52: 34699/373248
53: 27589/373248
54: 43193/746496
55: 5543/124416
56: 402619/11943936
57: 37375/1492992
58: 54415/2985984
59: 19385/1492992
60: 53975/5971968
61: 9157/1492992
62: 48337/11943936
63: 161/62208
64: 9541/5971968
65: 707/746496
66: 3199/5971968
67: 107/373248
68: 1715/11943936
69: 11/165888
70: 55/1990656
71: 5/497664
72: 1/331776
73: 1/1492992
74: 1/11943936

Dice: [8, 8, 12, 12, 12, 12, 12]
7: 1/1
8: 15925247/15925248
9: 1990655/1990656
10: 442367/442368
11: 663547/663552
12: 2654153/2654208
13: 221173/221184
14: 1326961/1327104
15: 663409/663552
16: 15918815/15925248
17: 165769/165888
18: 994117/995328
19: 165559/165888
20: 15875525/15925248
21: 1981169/1990656
22: 1317715/1327104
23: 72973/73728
24: 7847305/7962624
25: 650249/663552
26: 430333/442368
27: 1918517/1990656
28: 15169829/15925248
29: 38939/41472
30: 459131/497664
31: 12487/13824
32: 7014091/7962624
33: 283745/331776
34: 548293/663552
35: 263471/331776
36: 1007045/1327104
37: 79697/110592
38: 451129/663552
39: 633943/995328
40: 4715947/7962624
41: 45323/82944
42: 1/2
43: 37621/82944
44: 3246677/7962624
45: 361385/995328
46: 212423/663552
47: 30895/110592
48: 320059/1327104
49: 68305/331776
50: 115259/663552
51: 48031/331776
52: 948533/7962624
53: 1337/13824
54: 38533/497664
55: 2533/41472
56: 755419/15925248
57: 72139/1990656
58: 12035/442368
59: 13303/663552
60: 115319/7962624
61: 755/73728
62: 9389/1327104
63: 9487/1990656
64: 49723/15925248
65: 329/165888
66: 1211/995328
67: 119/165888
68: 6433/15925248
69: 143/663552
70: 143/1327104
71: 11/221184
72: 55/2654208
73: 5/663552
74: 1/442368
75: 1/1990656
76: 1/15925248

Dice: [4, 12, 12, 12, 12, 12, 12]
7: 1/1
8: 11943935/11943936
9: 1492991/1492992
10: 331775/331776
11: 497659/497664
12: 11943607/11943936
13: 746447/746496
14: 248797/248832
15: 82921/82944
16: 3979277/3981312
17: 1491661/1492992
18: 2981551/2985984
19: 496481/497664
20: 1322221/1327104
21: 742369/746496
22: 1480915/1492992
23: 245957/248832
24: 3917047/3981312
25: 162223/165888
26: 2897399/2985984
27: 1434569/1492992
28: 3779231/3981312
29: 116353/124416
30: 1371281/1492992
31: 335509/373248
32: 1744349/1990656
33: 23515/27648
34: 25555/31104
35: 589415/746496
36: 4506335/5971968
37: 44593/62208
38: 336743/497664
39: 118393/186624
40: 3526591/5971968
41: 135749/248832
42: 1/2
43: 113083/248832
44: 2445377/5971968
45: 68231/186624
46: 160921/497664
47: 17615/62208
48: 1465633/5971968
49: 157081/746496
50: 5549/31104
51: 4133/27648
52: 246307/1990656
53: 37739/373248
54: 121711/1492992
55: 8063/124416
56: 202081/3981312
57: 58423/1492992
58: 88585/2985984
59: 3665/165888
60: 64265/3981312
61: 2875/248832
62: 12077/1492992
63: 4127/746496
64: 4883/1327104
65: 1183/497664
66: 4433/2985984
67: 1331/1492992
68: 2035/3981312
69: 23/82944
70: 35/248832
71: 49/746496
72: 329/11943936
73: 5/497664
74: 1/331776
75: 1/1492992
76: 1/11943936

Dice: [6, 12, 12, 12, 12, 12, 12]
7: 1/1
8: 17915903/17915904
9: 2239487/2239488
10: 497663/497664
11: 746491/746496
12: 2985929/2985984
13: 248821/248832
14: 17914189/17915904
15: 559765/559872
16: 221105/221184
17: 2238073/2239488
18: 8948393/8957952
19: 248401/248832
20: 2977873/2985984
21: 743411/746496
22: 1978475/1990656
23: 1109845/1119744
24: 17692175/17915904
25: 81511/82944
26: 8747941/8957952
27: 2169521/2239488
28: 477293/497664
29: 235699/248832
30: 1857221/1990656
31: 113975/124416
32: 8029523/8957952
33: 489133/559872
34: 3907/4608
35: 57317/69984
36: 3525367/4478976
37: 23399/31104
38: 237151/331776
39: 83971/124416
40: 630085/995328
41: 165049/279936
42: 2441363/4478976
43: 1/2
44: 2037613/4478976
45: 114887/279936
46: 365243/995328
47: 40445/124416
48: 94625/331776
49: 7705/31104
50: 953609/4478976
51: 12667/69984
52: 701/4608
53: 70739/559872
54: 928429/8957952
55: 10441/124416
56: 133435/1990656
57: 13133/248832
58: 20371/497664
59: 69967/2239488
60: 210011/8957952
61: 1433/82944
62: 223729/17915904
63: 9899/1119744
64: 12181/1990656
65: 3085/746496
66: 8111/2985984
67: 431/248832
68: 9559/8957952
69: 1415/2239488
70: 79/221184
71: 107/559872
72: 1715/17915904
73: 11/248832
74: 55/2985984
75: 5/746496
76: 1/497664
77: 1/2239488
78: 1/17915904

Dice: [8, 12, 12, 12, 12, 12, 12]
7: 1/1
8: 23887871/23887872
9: 2985983/2985984
10: 663551/663552
11: 995323/995328
12: 3981257/3981312
13: 331765/331776
14: 1990513/1990656
15: 995185/995328
16: 11940719/11943936
17: 2984555/2985984
18: 5967115/5971968
19: 994007/995328
20: 1986485/1990656
21: 110237/110592
22: 1981127/1990656
23: 329465/331776
24: 3941855/3981312
25: 2944745/2985984
26: 5859229/5971968
27: 2910311/2985984
28: 427571/442368
29: 952081/995328
30: 1879987/1990656
31: 925535/995328
32: 2422643/2654208
33: 444341/497664
34: 2597921/2985984
35: 1260433/1492992
36: 4869691/5971968
37: 390007/497664
38: 82847/110592
39: 354329/497664
40: 1338821/1990656
41: 104707/165888
42: 585575/995328
43: 812821/1492992
44: 1/2
45: 680171/1492992
46: 409753/995328
47: 61181/165888
48: 651835/1990656
49: 143335/497664
50: 27745/110592
51: 107657/497664
52: 1102277/5971968
53: 232559/1492992
54: 388063/2985984
55: 53323/497664
56: 231565/2654208
57: 69793/995328
58: 110669/1990656
59: 43247/995328
60: 14797/442368
61: 75673/2985984
62: 112739/5971968
63: 41239/2985984
64: 39457/3981312
65: 2311/331776
66: 9529/1990656
67: 355/110592
68: 4171/1990656
69: 1321/995328
70: 4853/5971968
71: 1429/2985984
72: 3217/11943936
73: 143/995328
74: 143/1990656
75: 11/331776
76: 55/3981312
77: 5/995328
78: 1/663552
79: 1/2985984
80: 1/23887872

Dice: [12, 12, 12, 12, 12, 12, 12]
7: 1/1
8: 35831807/35831808
9: 4478975/4478976
10: 995327/995328
11: 1492987/1492992
12: 5971913/5971968
13: 497653/497664
14: 2985841/2985984
15: 1492849/1492992
16: 3980597/3981312
17: 2238773/2239488
18: 4476545/4478976
19: 248611/248832
20: 35781427/35831808
21: 4469293/4478976
22: 992105/995328
23: 495307/497664
24: 3954329/3981312
25: 246467/248832
26: 2210195/2239488
27: 2199877/2239488
28: 3887647/3981312
29: 4340981/4478976
30: 8601791/8957952
31: 472483/497664
32: 699061/746496
33: 1375351/1492992
34: 899249/995328
35: 3955435/4478976
36: 30816457/35831808
37: 207571/248832
38: 1804075/2239488
39: 1734005/2239488
40: 1473997/1990656
41: 43813/62208
42: 110495/165888
43: 38951/62208
44: 10478303/17915904
45: 1215287/2239488
46: 1/2
47: 1024201/2239488
48: 7437601/17915904
49: 23257/62208
50: 55393/165888
51: 18395/62208
52: 516659/1990656
53: 505483/2239488
54: 435413/2239488
55: 41261/248832
56: 5015351/35831808
57: 523541/4478976
58: 96079/995328
59: 117641/1492992
60: 47435/746496
61: 25181/497664
62: 356161/8957952
63: 137995/4478976
64: 93665/3981312
65: 39611/2239488
66: 29293/2239488
67: 2365/248832
68: 26983/3981312
69: 2357/497664
70: 3223/995328
71: 9683/4478976
72: 50381/35831808
73: 221/248832
74: 2431/4478976
75: 715/2239488
76: 715/3981312
77: 143/1492992
78: 143/2985984
79: 11/497664
80: 55/5971968
81: 5/1492992
82: 1/995328
83: 1/4478976
84: 1/35831808

Dice: [4, 4, 4, 4, 4, 4, 20]
7: 1/1
8: 81919/81920
9: 10239/10240
10: 20471/20480
11: 2045/2048
12: 20399/20480
13: 10147/10240
14: 4021/4096
15: 9901/10240
16: 7745/8192
17: 9389/10240
18: 18057/20480
19: 8611/10240
20: 16303/20480
21: 1533/2048
22: 14327/20480
23: 1331/2048
24: 49151/81920
25: 11/20
26: 1/2
27: 9/20
28: 32769/81920
29: 717/2048
30: 6153/20480
31: 515/2048
32: 4177/20480
33: 1629/10240
34: 2423/20480
35: 851/10240
36: 447/8192
37: 339/10240
38: 75/4096
39: 93/10240
40: 81/20480
41: 3/2048
42: 9/20480
43: 1/10240
44: 1/81920

Dice: [4, 4, 4, 4, 4, 6, 20]
7: 1/1
8: 122879/122880
9: 15359/15360
10: 10237/10240
11: 1023/1024
12: 24511/24576
13: 7633/7680
14: 24269/24576
15: 15007/15360
16: 118121/122880
17: 481/512
18: 111977/122880
19: 13471/15360
20: 102913/122880
21: 6097/7680
22: 18367/24576
23: 3579/5120
24: 6653/10240
25: 1843/3072
26: 67583/122880
27: 1/2
28: 55297/122880
29: 1229/3072
30: 3587/10240
31: 1541/5120
32: 6209/24576
33: 1583/7680
34: 19967/122880
35: 1889/15360
36: 10903/122880
37: 31/512
38: 4759/122880
39: 353/15360
40: 307/24576
41: 47/7680
42: 65/24576
43: 1/1024
44: 3/10240
45: 1/15360
46: 1/122880

Dice: [4, 4, 4, 4, 6, 6, 20]
7: 1/1
8: 184319/184320
9: 23039/23040
10: 5119/5120
11: 1535/1536
12: 91997/92160
13: 4589/4608
14: 18275/18432
15: 22673/23040
16: 19919/20480
17: 2203/2304
18: 43043/46080
19: 10439/11520
20: 17871/20480
21: 19217/23040
22: 72943/92160
23: 3437/4608
24: 64349/92160
25: 4987/7680
26: 3071/5120
27: 12671/23040
28: 1/2
29: 10369/23040
30: 2049/5120
31: 2693/7680
32: 27811/92160
33: 1171/4608
34: 19217/92160
35: 3823/23040
36: 2609/20480
37: 1081/11520
38: 3037/46080
39: 101/2304
40: 561/20480
41: 367/23040
42: 157/18432
43: 19/4608
44: 163/92160
45: 1/1536
46: 1/5120
47: 1/23040
48: 1/184320

Dice: [4, 4, 4, 6, 6, 6, 20]
7: 1/1
8: 276479/276480
9: 34559/34560
10: 7679/7680
11: 2303/2304
12: 92051/92160
13: 359/360
14: 18325/18432
15: 11393/11520
16: 4519/4608
17: 33469/34560
18: 263053/276480
19: 223/240
20: 249229/276480
21: 30013/34560
22: 19139/23040
23: 9089/11520
24: 13717/18432
25: 251/360
26: 11959/18432
27: 6907/11520
28: 152029/276480
29: 1/2
30: 124451/276480
31: 4613/11520
32: 6473/18432
33: 109/360
34: 4715/18432
35: 2431/11520
36: 3901/23040
37: 4547/34560
38: 27251/276480
39: 17/240
40: 13427/276480
41: 1091/34560
42: 89/4608
43: 127/11520
44: 107/18432
45: 1/360
46: 109/92160
47: 1/2304
48: 1/7680
49: 1/34560
50: 1/276480

Dice: [4, 4, 6, 6, 6, 6, 20]
7: 1/1
8: 414719/414720
9: 51839/51840
10: 11519/11520
11: 3455/3456
12: 51799/51840
13: 51743/51840
14: 10327/10368
15: 10289/10368
16: 799/810
17: 16889/17280
18: 19999/20736
19: 49093/51840
20: 63907/69120
21: 46501/51840
22: 89627/103680
23: 14297/17280
24: 637/810
25: 7697/10368
26: 36083/51840
27: 33599/51840
28: 16567/27648
29: 14249/25920
30: 1/2
31: 11671/25920
32: 11081/27648
33: 18241/51840
34: 15757/51840
35: 2671/10368
36: 173/810
37: 2983/17280
38: 14053/103680
39: 5339/51840
40: 5213/69120
41: 2747/51840
42: 737/20736
43: 391/17280
44: 11/810
45: 79/10368
46: 41/10368
47: 97/51840
48: 41/51840
49: 1/3456
50: 1/11520
51: 1/51840
52: 1/414720

Dice: [4, 6, 6, 6, 6, 6, 20]
7: 1/1
8: 622079/622080
9: 77759/77760
10: 17279/17280
11: 5183/5184
12: 621751/622080
13: 38831/38880
14: 124081/124416
15: 77351/77760
16: 41077/41472
17: 9563/9720
18: 605993/622080
19: 74701/77760
20: 586517/622080
21: 1789/1944
22: 555413/622080
23: 13385/15552
24: 512681/622080
25: 7619/9720
26: 30709/41472
27: 54023/77760
28: 7457/11520
29: 46559/77760
30: 341851/622080
31: 1/2
32: 280229/622080
33: 31201/77760
34: 4063/11520
35: 23737/77760
36: 10763/41472
37: 2101/9720
38: 109399/622080
39: 2167/15552
40: 66667/622080
41: 155/1944
42: 35563/622080
43: 3059/77760
44: 16087/622080
45: 157/9720
46: 395/41472
47: 409/77760
48: 335/124416
49: 49/38880
50: 329/622080
51: 1/5184
52: 1/17280
53: 1/77760
54: 1/622080

Dice: [6, 6, 6, 6, 6, 6, 20]
7: 1/1
8: 933119/933120
9: 116639/116640
10: 25919/25920
11: 7775/7776
12: 31093/31104
13: 12949/12960
14: 10349/10368
15: 12913/12960
16: 102989/103680
17: 5765/5832
18: 228913/233280
19: 1573/1620
20: 297671/311040
21: 36503/38880
22: 9499/10368
23: 34559/38880
24: 266567/311040
25: 133/162
26: 182257/233280
27: 4307/5832
28: 323483/466560
29: 37697/58320
30: 10337/17280
31: 5339/9720
32: 1/2
33: 4381/9720
34: 6943/17280
35: 20623/58320
36: 143077/466560
37: 1525/5832
38: 51023/233280
39: 29/162
40: 44473/311040
41: 4321/38880
42: 869/10368
43: 2377/38880
44: 13369/311040
45: 47/1620
46: 4367/233280
47: 67/5832
48: 691/103680
49: 47/12960
50: 19/10368
51: 11/12960
52: 11/31104
53: 1/7776
54: 1/25920
55: 1/116640
56: 1/933120

Dice: [4, 4, 4, 4, 4, 8, 20]
7: 1/1
8: 163839/163840
9: 20479/20480
10: 40951/40960
11: 4093/4096
12: 32703/32768
13: 10193/10240
14: 317/320
15: 10063/10240
16: 79523/81920
17: 1221/1280
18: 19081/20480
19: 1157/1280
20: 71331/81920
21: 8527/10240
22: 253/320
23: 7633/10240
24: 114363/163840
25: 13297/20480
26: 24567/40960
27: 11263/20480
28: 1/2
29: 9217/20480
30: 16393/40960
31: 7183/20480
32: 49477/163840
33: 2607/10240
34: 67/320
35: 1713/10240
36: 10589/81920
37: 123/1280
38: 1399/20480
39: 59/1280
40: 2397/81920
41: 177/10240
42: 3/320
43: 47/10240
44: 65/32768
45: 3/4096
46: 9/40960
47: 1/20480
48: 1/163840

Dice: [4, 4, 4, 4, 6, 8, 20]
7: 1/1
8: 245759/245760
9: 30719/30720
10: 20477/20480
11: 2047/2048
12: 122717/122880
13: 6125/6144
14: 244189/245760
15: 1897/1920
16: 60169/61440
17: 29/30
18: 38887/40960
19: 14239/15360
20: 36839/40960
21: 13/15
22: 50953/61440
23: 1513/1920
24: 182749/245760
25: 21409/30720
26: 79709/122880
27: 6139/10240
28: 135133/245760
29: 1/2
30: 110627/245760
31: 4101/10240
32: 43171/122880
33: 9311/30720
34: 63011/245760
35: 407/1920
36: 10487/61440
37: 2/15
38: 4121/40960
39: 1121/15360
40: 2073/40960
41: 1/30
42: 1271/61440
43: 23/1920
44: 1571/245760
45: 19/6144
46: 163/122880
47: 1/2048
48: 3/20480
49: 1/30720
50: 1/245760

Dice: [4, 4, 4, 6, 6, 8, 20]
7: 1/1
8: 368639/368640
9: 46079/46080
10: 10239/10240
11: 3071/3072
12: 122771/122880
13: 479/480
14: 183517/184320
15: 22849/23040
16: 72653/73728
17: 8995/9216
18: 177461/184320
19: 4839/5120
20: 3779/4096
21: 4583/5120
22: 159029/184320
23: 38063/46080
24: 289537/368640
25: 17089/23040
26: 128221/184320
27: 311/480
28: 110429/184320
29: 2533/4608
30: 1/2
31: 2075/4608
32: 73891/184320
33: 169/480
34: 56099/184320
35: 5951/23040
36: 79103/368640
37: 8017/46080
38: 25291/184320
39: 537/5120
40: 317/4096
41: 281/5120
42: 6859/184320
43: 221/9216
44: 1075/73728
45: 191/23040
46: 803/184320
47: 1/480
48: 109/122880
49: 1/3072
50: 1/10240
51: 1/46080
52: 1/368640

Dice: [4, 4, 6, 6, 6, 8, 20]
7: 1/1
8: 552959/552960
9: 69119/69120
10: 15359/15360
11: 4607/4608
12: 69079/69120
13: 69023/69120
14: 183773/184320
15: 1909/1920
16: 182431/184320
17: 67933/69120
18: 67241/69120
19: 22097/23040
20: 520369/552960
21: 31741/34560
22: 492721/552960
23: 19793/23040
24: 56873/69120
25: 54109/69120
26: 136351/184320
27: 1333/1920
28: 44723/69120
29: 431/720
30: 75959/138240
31: 1/2
32: 62281/138240
33: 289/720
34: 24397/69120
35: 587/1920
36: 47969/184320
37: 15011/69120
38: 12247/69120
39: 3247/23040
40: 60239/552960
41: 2819/34560
42: 32591/552960
43: 943/23040
44: 1879/69120
45: 1187/69120
46: 1889/184320
47: 11/1920
48: 547/184320
49: 97/69120
50: 41/69120
51: 1/4608
52: 1/15360
53: 1/69120
54: 1/552960

Dice: [4, 6, 6, 6, 6, 8, 20]
7: 1/1
8: 829439/829440
9: 103679/103680
10: 23039/23040
11: 6911/6912
12: 829111/829440
13: 51791/51840
14: 206941/207360
15: 10327/10368
16: 20587/20736
17: 10241/10368
18: 4517/4608
19: 50269/51840
20: 79253/82944
21: 6073/6480
22: 94811/103680
23: 5749/6480
24: 354793/414720
25: 42493/51840
26: 17977/23040
27: 7649/10368
28: 574649/829440
29: 66983/103680
30: 62003/103680
31: 56941/103680
32: 1/2
33: 46739/103680
34: 41677/103680
35: 36697/103680
36: 254791/829440
37: 2719/10368
38: 5063/23040
39: 9347/51840
40: 59927/414720
41: 731/6480
42: 8869/103680
43: 407/6480
44: 3691/82944
45: 1571/51840
46: 91/4608
47: 127/10368
48: 149/20736
49: 41/10368
50: 419/207360
51: 49/51840
52: 329/829440
53: 1/6912
54: 1/23040
55: 1/103680
56: 1/829440

Dice: [6, 6, 6, 6, 6, 8, 20]
7: 1/1
8: 1244159/1244160
9: 155519/155520
10: 34559/34560
11: 10367/10368
12: 41461/41472
13: 17269/17280
14: 1242449/1244160
15: 19387/19440
16: 618953/622080
17: 77083/77760
18: 613199/622080
19: 12671/12960
20: 75167/77760
21: 4627/4860
22: 580703/622080
23: 70813/77760
24: 549599/622080
25: 4141/4860
26: 63503/77760
27: 10079/12960
28: 915359/1244160
29: 35837/51840
30: 401243/622080
31: 92903/155520
32: 682907/1244160
33: 1/2
34: 561253/1244160
35: 62617/155520
36: 220837/622080
37: 16003/51840
38: 328801/1244160
39: 2881/12960
40: 14257/77760
41: 719/4860
42: 72481/622080
43: 6947/77760
44: 41377/622080
45: 233/4860
46: 2593/77760
47: 289/12960
48: 8881/622080
49: 677/77760
50: 3127/622080
51: 53/19440
52: 1711/1244160
53: 11/17280
54: 11/41472
55: 1/10368
56: 1/34560
57: 1/155520
58: 1/1244160

Dice: [4, 4, 4, 4, 8, 8, 20]
7: 1/1
8: 327679/327680
9: 40959/40960
10: 81911/81920
11: 8189/8192
12: 163677/163840
13: 8173/8192
14: 81527/81920
15: 40591/40960
16: 322561/327680
17: 19961/20480
18: 39369/40960
19: 19319/20480
20: 75427/81920
21: 3659/4096
22: 35273/40960
23: 16889/20480
24: 51405/65536
25: 30351/40960
26: 56951/81920
27: 26529/40960
28: 196283/327680
29: 11257/20480
30: 1/2
31: 9223/20480
32: 131397/327680
33: 14431/40960
34: 24969/81920
35: 10609/40960
36: 14131/65536
37: 3591/20480
38: 5687/40960
39: 437/4096
40: 6493/81920
41: 1161/20480
42: 1591/40960
43: 519/20480
44: 5119/327680
45: 369/40960
46: 393/81920
47: 19/8192
48: 163/163840
49: 3/8192
50: 9/81920
51: 1/40960
52: 1/327680

Dice: [4, 4, 4, 6, 8, 8, 20]
7: 1/1
8: 491519/491520
9: 61439/61440
10: 40957/40960
11: 4095/4096
12: 163731/163840
13: 639/640
14: 489913/491520
15: 61057/61440
16: 48611/49152
17: 20107/20480
18: 477511/491520
19: 1961/2048
20: 46171/49152
21: 11/12
22: 218567/245760
23: 8781/10240
24: 403783/491520
25: 16011/20480
26: 36323/49152
27: 8525/12288
28: 158941/245760
29: 36769/61440
30: 18003/32768
31: 1/2
32: 14765/32768
33: 24671/61440
34: 86819/245760
35: 3763/12288
36: 12829/49152
37: 4469/20480
38: 87737/491520
39: 1459/10240
40: 27193/245760
41: 1/12
42: 2981/49152
43: 87/2048
44: 14009/491520
45: 373/20480
46: 541/49152
47: 383/61440
48: 1607/491520
49: 1/640
50: 109/163840
51: 1/4096
52: 3/40960
53: 1/61440
54: 1/491520

Dice: [4, 4, 6, 6, 8, 8, 20]
7: 1/1
8: 737279/737280
9: 92159/92160
10: 20479/20480
11: 6143/6144
12: 92119/92160
13: 92063/92160
14: 367819/368640
15: 91763/92160
16: 365789/368640
17: 90959/92160
18: 60163/61440
19: 89249/92160
20: 140675/147456
21: 43111/46080
22: 33649/36864
23: 40807/46080
24: 629647/737280
25: 15085/18432
26: 9575/12288
27: 67919/92160
28: 102079/147456
29: 1653/2560
30: 220381/368640
31: 25303/46080
32: 1/2
33: 20777/46080
34: 148259/368640
35: 907/2560
36: 45377/147456
37: 24241/92160
38: 2713/12288
39: 3347/18432
40: 107633/737280
41: 5273/46080
42: 3215/36864
43: 2969/46080
44: 6781/147456
45: 2911/92160
46: 1277/61440
47: 1201/92160
48: 2851/368640
49: 397/92160
50: 821/368640
51: 97/92160
52: 41/92160
53: 1/6144
54: 1/20480
55: 1/92160
56: 1/737280

Dice: [4, 6, 6, 6, 8, 8, 20]
7: 1/1
8: 1105919/1105920
9: 138239/138240
10: 30719/30720
11: 9215/9216
12: 1105591/1105920
13: 69071/69120
14: 368081/368640
15: 45943/46080
16: 219985/221184
17: 11413/11520
18: 1089247/1105920
19: 9001/9216
20: 533831/552960
21: 8761/9216
22: 1030649/1105920
23: 4189/4608
24: 975353/1105920
25: 39197/46080
26: 450887/552960
27: 35789/46080
28: 25399/34560
29: 19097/27648
30: 712889/1105920
31: 2293/3840
32: 151727/276480
33: 1/2
34: 124753/276480
35: 1547/3840
36: 393031/1105920
37: 8551/27648
38: 9161/34560
39: 10291/46080
40: 102073/552960
41: 6883/46080
42: 130567/1105920
43: 419/4608
44: 75271/1105920
45: 455/9216
46: 19129/552960
47: 215/9216
48: 16673/1105920
49: 107/11520
50: 1199/221184
51: 137/46080
52: 559/368640
53: 49/69120
54: 329/1105920
55: 1/9216
56: 1/30720
57: 1/138240
58: 1/1105920

Dice: [6, 6, 6, 6, 8, 8, 20]
7: 1/1
8: 1658879/1658880
9: 207359/207360
10: 46079/46080
11: 13823/13824
12: 55285/55296
13: 23029/23040
14: 103573/103680
15: 41387/41472
16: 1652591/1658880
17: 2861/2880
18: 205103/207360
19: 2123/2160
20: 53867/55296
21: 33263/34560
22: 392887/414720
23: 32087/34560
24: 375529/414720
25: 30359/34560
26: 70283/82944
27: 28079/34560
28: 256847/331776
29: 151969/207360
30: 285799/414720
31: 44477/69120
32: 989369/1658880
33: 56861/103680
34: 1/2
35: 46819/103680
36: 669511/1658880
37: 24643/69120
38: 128921/414720
39: 55391/207360
40: 74929/331776
41: 6481/34560
42: 12661/82944
43: 4201/34560
44: 39191/414720
45: 2473/34560
46: 21833/414720
47: 1297/34560
48: 1429/55296
49: 37/2160
50: 2257/207360
51: 19/2880
52: 6289/1658880
53: 85/41472
54: 107/103680
55: 11/23040
56: 11/55296
57: 1/13824
58: 1/46080
59: 1/207360
60: 1/1658880

Dice: [4, 4, 4, 8, 8, 8, 20]
7: 1/1
8: 655359/655360
9: 81919/81920
10: 163831/163840
11: 16381/16384
12: 655033/655360
13: 2557/2560
14: 81719/81920
15: 637/640
16: 129983/131072
17: 80787/81920
18: 32053/32768
19: 79229/81920
20: 624269/655360
21: 2391/2560
22: 37321/40960
23: 2263/2560
24: 558733/655360
25: 66941/81920
26: 127497/163840
27: 60307/81920
28: 113327/163840
29: 10573/16384
30: 97911/163840
31: 8995/16384
32: 1/2
33: 7389/16384
34: 65929/163840
35: 5811/16384
36: 50513/163840
37: 21613/81920
38: 36343/163840
39: 14979/81920
40: 96627/655360
41: 297/2560
42: 3639/40960
43: 169/2560
44: 31091/655360
45: 2691/81920
46: 715/32768
47: 1133/81920
48: 1089/131072
49: 3/640
50: 201/81920
51: 3/2560
52: 327/655360
53: 3/16384
54: 9/163840
55: 1/81920
56: 1/655360

Dice: [4, 4, 6, 8, 8, 8, 20]
7: 1/1
8: 983039/983040
9: 122879/122880
10: 81917/81920
11: 8191/8192
12: 122839/122880
13: 122783/122880
14: 981397/983040
15: 61241/61440
16: 977303/983040
17: 8111/8192
18: 3779/3840
19: 119887/122880
20: 15797/16384
21: 116641/122880
22: 182929/196608
23: 9293/10240
24: 865493/983040
25: 104353/122880
26: 66697/81920
27: 95311/122880
28: 48111/65536
29: 42401/61440
30: 126655/196608
31: 14669/24576
32: 539357/983040
33: 1/2
34: 443683/983040
35: 9907/24576
36: 69953/196608
37: 19039/61440
38: 17425/65536
39: 27569/122880
40: 15223/81920
41: 18527/122880
42: 117547/983040
43: 947/10240
44: 13679/196608
45: 6239/122880
46: 587/16384
47: 2993/122880
48: 61/3840
49: 81/8192
50: 5737/983040
51: 199/61440
52: 1643/983040
53: 97/122880
54: 41/122880
55: 1/8192
56: 3/81920
57: 1/122880
58: 1/983040

Dice: [4, 6, 6, 8, 8, 8, 20]
7: 1/1
8: 1474559/1474560
9: 184319/184320
10: 40959/40960
11: 12287/12288
12: 1474231/1474560
13: 92111/92160
14: 736441/737280
15: 45977/46080
16: 16317/16384
17: 91511/92160
18: 728797/737280
19: 45253/46080
20: 1434953/1474560
21: 177181/184320
22: 174367/184320
23: 170863/184320
24: 666511/737280
25: 161647/184320
26: 31187/36864
27: 149533/184320
28: 190007/245760
29: 134933/184320
30: 507631/737280
31: 23705/36864
32: 175807/294912
33: 50531/92160
34: 1/2
35: 41629/92160
36: 119105/294912
37: 13159/36864
38: 229649/737280
39: 49387/184320
40: 55753/245760
41: 34787/184320
42: 5677/36864
43: 22673/184320
44: 70769/737280
45: 13457/184320
46: 9953/184320
47: 7139/184320
48: 39607/1474560
49: 827/46080
50: 8483/737280
51: 649/92160
52: 67/16384
53: 103/46080
54: 839/737280
55: 49/92160
56: 329/1474560
57: 1/12288
58: 1/40960
59: 1/184320
60: 1/1474560

Dice: [6, 6, 6, 8, 8, 8, 20]
7: 1/1
8: 2211839/2211840
9: 276479/276480
10: 61439/61440
11: 18431/18432
12: 73717/73728
13: 30709/30720
14: 736709/737280
15: 46009/46080
16: 183793/184320
17: 137549/138240
18: 219349/221184
19: 7579/7680
20: 80281/81920
21: 29819/30720
22: 29443/30720
23: 1931/2048
24: 136201/147456
25: 41501/46080
26: 644141/737280
27: 8631/10240
28: 1788121/2211840
29: 53269/69120
30: 179407/245760
31: 12661/18432
32: 354919/552960
33: 32921/55296
34: 403967/737280
35: 1/2
36: 333313/737280
37: 22375/55296
38: 198041/552960
39: 5771/18432
40: 66353/245760
41: 15851/69120
42: 423719/2211840
43: 1609/10240
44: 93139/737280
45: 4579/46080
46: 11255/147456
47: 117/2048
48: 1277/30720
49: 901/30720
50: 1639/81920
51: 101/7680
52: 1835/221184
53: 691/138240
54: 527/184320
55: 71/46080
56: 571/737280
57: 11/30720
58: 11/73728
59: 1/18432
60: 1/61440
61: 1/276480
62: 1/2211840

Dice: [4, 4, 8, 8, 8, 8, 20]
7: 1/1
8: 1310719/1310720
9: 163839/163840
10: 327671/327680
11: 32765/32768
12: 163799/163840
13: 163743/163840
14: 327269/327680
15: 163441/163840
16: 326237/327680
17: 162611/163840
18: 323703/327680
19: 32153/32768
20: 159273/163840
21: 157299/163840
22: 309549/327680
23: 30329/32768
24: 591501/655360
25: 143453/163840
26: 276781/327680
27: 132723/163840
28: 1012041/1310720
29: 59903/81920
30: 1761/2560
31: 52641/81920
32: 195247/327680
33: 8981/16384
34: 1/2
35: 7403/16384
36: 132433/327680
37: 29279/81920
38: 799/2560
39: 22017/81920
40: 298679/1310720
41: 31117/163840
42: 50899/327680
43: 20387/163840
44: 63859/655360
45: 2439/32768
46: 18131/327680
47: 6541/163840
48: 4567/163840
49: 615/32768
50: 3977/327680
51: 1229/163840
52: 1443/327680
53: 399/163840
54: 411/327680
55: 97/163840
56: 41/163840
57: 3/32768
58: 9/327680
59: 1/163840
60: 1/1310720

Dice: [4, 6, 8, 8, 8, 8, 20]
7: 1/1
8: 1966079/1966080
9: 245759/245760
10: 163837/163840
11: 16383/16384
12: 1965751/1966080
13: 122831/122880
14: 1964401/1966080
15: 245347/245760
16: 392003/393216
17: 7639/7680
18: 649607/655360
19: 242369/245760
20: 1925123/1966080
21: 119153/122880
22: 1882069/1966080
23: 231403/245760
24: 1813313/1966080
25: 110497/122880
26: 1715009/1966080
27: 206827/245760
28: 793579/983040
29: 37831/49152
30: 1433639/1966080
31: 10541/15360
32: 630511/983040
33: 73121/122880
34: 179493/327680
35: 1/2
36: 148187/327680
37: 49759/122880
38: 352529/983040
39: 4819/15360
40: 532441/1966080
41: 11321/49152
42: 189461/983040
43: 38933/245760
44: 251071/1966080
45: 12383/122880
46: 152767/1966080
47: 14357/245760
48: 84011/1966080
49: 3727/122880
50: 40957/1966080
51: 3391/245760
52: 5753/655360
53: 41/7680
54: 1213/393216
55: 413/245760
56: 1679/1966080
57: 49/122880
58: 329/1966080
59: 1/16384
60: 3/163840
61: 1/245760
62: 1/1966080

Dice: [6, 6, 8, 8, 8, 8, 20]
7: 1/1
8: 2949119/2949120
9: 368639/368640
10: 81919/81920
11: 24575/24576
12: 98293/98304
13: 40949/40960
14: 1473703/1474560
15: 368213/368640
16: 2942761/2949120
17: 91811/92160
18: 732619/737280
19: 3041/3072
20: 2903483/2949120
21: 360203/368640
22: 285253/294912
23: 70375/73728
24: 553595/589824
25: 84707/92160
26: 165151/184320
27: 80099/92160
28: 309133/368640
29: 4943/6144
30: 1131371/1474560
31: 134029/184320
32: 2019077/2949120
33: 15733/24576
34: 876271/1474560
35: 67261/122880
36: 1/2
37: 55619/122880
38: 598289/1474560
39: 8843/24576
40: 930043/2949120
41: 50291/184320
42: 343189/1474560
43: 1201/6144
44: 59507/368640
45: 12061/92160
46: 19169/184320
47: 7453/92160
48: 36229/589824
49: 3353/73728
50: 9659/294912
51: 8437/368640
52: 45637/2949120
53: 31/3072
54: 4661/737280
55: 349/92160
56: 6359/2949120
57: 427/368640
58: 857/1474560
59: 11/40960
60: 11/98304
61: 1/24576
62: 1/81920
63: 1/368640
64: 1/2949120

Dice: [4, 8, 8, 8, 8, 8, 20]
7: 1/1
8: 2621439/2621440
9: 327679/327680
10: 655351/655360
11: 65533/65536
12: 2621111/2621440
13: 163791/163840
14: 32747/32768
15: 163633/163840
16: 130767/131072
17: 163177/163840
18: 162743/163840
19: 162103/163840
20: 644783/655360
21: 31991/32768
22: 158313/163840
23: 31241/32768
24: 1228593/1310720
25: 18797/20480
26: 58633/65536
27: 17773/20480
28: 2195043/2621440
29: 263259/327680
30: 502189/655360
31: 47601/65536
32: 1793029/2621440
33: 13101/20480
34: 3041/5120
35: 11207/20480
36: 1/2
37: 9273/20480
38: 2079/5120
39: 7379/20480
40: 828411/2621440
41: 17935/65536
42: 153171/655360
43: 64421/327680
44: 426397/2621440
45: 2707/20480
46: 6903/65536
47: 1683/20480
48: 82127/1310720
49: 1527/32768
50: 5527/163840
51: 777/32768
52: 10577/655360
53: 1737/163840
54: 1097/163840
55: 663/163840
56: 305/131072
57: 207/163840
58: 21/32768
59: 49/163840
60: 329/2621440
61: 3/65536
62: 9/655360
63: 1/327680
64: 1/2621440

Dice: [6, 8, 8, 8, 8, 8, 20]
7: 1/1
8: 3932159/3932160
9: 491519/491520
10: 327677/327680
11: 32767/32768
12: 131061/131072
13: 163807/163840
14: 786089/786432
15: 122773/122880
16: 1962883/1966080
17: 16337/16384
18: 1956611/1966080
19: 40643/40960
20: 647523/655360
21: 80459/81920
22: 383089/393216
23: 39481/40960
24: 934609/983040
25: 7655/8192
26: 599513/655360
27: 43823/49152
28: 3400471/3932160
29: 410149/491520
30: 393581/491520
31: 125161/163840
32: 142409/196608
33: 111799/163840
34: 2510597/3932160
35: 18221/30720
36: 8399/15360
37: 1/2
38: 6961/15360
39: 12499/30720
40: 1421563/3932160
41: 52041/163840
42: 54199/196608
43: 38679/163840
44: 97939/491520
45: 81371/491520
46: 531689/3932160
47: 5329/49152
48: 55847/655360
49: 537/8192
50: 48431/983040
51: 1479/40960
52: 10127/393216
53: 1461/81920
54: 7837/655360
55: 317/40960
56: 9469/1966080
57: 47/16384
58: 3197/1966080
59: 107/122880
60: 343/786432
61: 33/163840
62: 11/131072
63: 1/32768
64: 3/327680
65: 1/491520
66: 1/3932160

Dice: [8, 8, 8, 8, 8, 8, 20]
7: 1/1
8: 5242879/5242880
9: 655359/655360
10: 1310711/1310720
11: 131069/131072
12: 524255/524288
13: 655261/655360
14: 1310291/1310720
15: 654931/655360
16: 5236451/5242880
17: 40871/40960
18: 163239/163840
19: 40717/40960
20: 649309/655360
21: 80783/81920
22: 10033/10240
23: 79577/81920
24: 2518159/2621440
25: 310331/327680
26: 609791/655360
27: 298389/327680
28: 4652229/5242880
29: 564011/655360
30: 1088519/1310720
31: 522373/655360
32: 498509/655360
33: 94575/131072
34: 891437/1310720
35: 417317/655360
36: 3103749/5242880
37: 11187/20480
38: 1/2
39: 9293/20480
40: 2139131/5242880
41: 238043/655360
42: 419283/1310720
43: 36497/131072
44: 156851/655360
45: 132987/655360
46: 222201/1310720
47: 91349/655360
48: 590651/5242880
49: 29291/327680
50: 45569/655360
51: 17349/327680
52: 103281/2621440
53: 2343/81920
54: 207/10240
55: 1137/81920
56: 6051/655360
57: 243/40960
58: 601/163840
59: 89/40960
60: 6429/5242880
61: 429/655360
62: 429/1310720
63: 99/655360
64: 33/524288
65: 3/131072
66: 9/1310720
67: 1/655360
68: 1/5242880

Dice: [4, 4, 4, 4, 4, 12, 20]
7: 1/1
8: 245759/245760
9: 30719/30720
10: 20477/20480
11: 2047/2048
12: 49087/49152
13: 15313/15360
14: 159/160
15: 5061/5120
16: 48193/49152
17: 1985/2048
18: 58633/61440
19: 9579/10240
20: 112129/122880
21: 9067/10240
22: 52489/61440
23: 8389/10240
24: 191813/245760
25: 3781/5120
26: 111/160
27: 9937/15360
28: 12261/20480
29: 8441/15360
30: 1/2
31: 6919/15360
32: 8219/20480
33: 5423/15360
34: 49/160
35: 1339/5120
36: 53947/245760
37: 1851/10240
38: 8951/61440
39: 1173/10240
40: 10751/122880
41: 661/10240
42: 2807/61440
43: 63/2048
44: 959/49152
45: 59/5120
46: 1/160
47: 47/15360
48: 65/49152
49: 1/2048
50: 3/20480
51: 1/30720
52: 1/245760

Dice: [4, 4, 4, 4, 6, 12, 20]
7: 1/1
8: 368639/368640
9: 46079/46080
10: 10239/10240
11: 3071/3072
12: 184157/184320
13: 9197/9216
14: 367069/368640
15: 2857/2880
16: 8079/8192
17: 9011/9216
18: 19787/20480
19: 43823/46080
20: 343589/368640
21: 4189/4608
22: 325157/368640
23: 7843/9216
24: 3343/4096
25: 35839/46080
26: 6031/8192
27: 1993/2880
28: 119023/184320
29: 13777/23040
30: 101231/184320
31: 1/2
32: 83089/184320
33: 9263/23040
34: 65297/184320
35: 887/2880
36: 2161/8192
37: 10241/46080
38: 753/4096
39: 1373/9216
40: 43483/368640
41: 419/4608
42: 25051/368640
43: 2257/46080
44: 693/20480
45: 205/9216
46: 113/8192
47: 23/2880
48: 1571/368640
49: 19/9216
50: 163/184320
51: 1/3072
52: 1/10240
53: 1/46080
54: 1/368640

Dice: [4, 4, 4, 6, 6, 12, 20]
7: 1/1
8: 552959/552960
9: 69119/69120
10: 15359/15360
11: 4607/4608
12: 184211/184320
13: 719/720
14: 275677/276480
15: 34369/34560
16: 713/720
17: 34007/34560
18: 269603/276480
19: 1387/1440
20: 65513/69120
21: 1003/1080
22: 20867/23040
23: 949/1080
24: 58601/69120
25: 1171/1440
26: 214307/276480
27: 25367/34560
28: 381697/552960
29: 14849/23040
30: 165103/276480
31: 281/512
32: 1/2
33: 231/512
34: 111377/276480
35: 8191/23040
36: 171263/552960
37: 9193/34560
38: 62173/276480
39: 269/1440
40: 10519/69120
41: 131/1080
42: 2173/23040
43: 77/1080
44: 3607/69120
45: 53/1440
46: 6877/276480
47: 553/34560
48: 7/720
49: 191/34560
50: 803/276480
51: 1/720
52: 109/184320
53: 1/4608
54: 1/15360
55: 1/69120
56: 1/552960

Dice: [4, 4, 6, 6, 6, 12, 20]
7: 1/1
8: 829439/829440
9: 103679/103680
10: 23039/23040
11: 6911/6912
12: 103639/103680
13: 103583/103680
14: 275933/276480
15: 2869/2880
16: 205943/207360
17: 949/960
18: 203593/207360
19: 2801/2880
20: 398261/414720
21: 48973/51840
22: 191899/207360
23: 15593/17280
24: 181531/207360
25: 43789/51840
26: 336053/414720
27: 445/576
28: 607013/829440
29: 71389/103680
30: 521/810
31: 20609/34560
32: 454879/829440
33: 1/2
34: 374561/829440
35: 13951/34560
36: 289/810
37: 32291/103680
38: 222427/829440
39: 131/576
40: 78667/414720
41: 8051/51840
42: 25829/207360
43: 1687/17280
44: 15461/207360
45: 2867/51840
46: 16459/414720
47: 79/2880
48: 3767/207360
49: 11/960
50: 1417/207360
51: 11/2880
52: 547/276480
53: 97/103680
54: 41/103680
55: 1/6912
56: 1/23040
57: 1/103680
58: 1/829440

Dice: [4, 6, 6, 6, 6, 12, 20]
7: 1/1
8: 1244159/1244160
9: 155519/155520
10: 34559/34560
11: 10367/10368
12: 1243831/1244160
13: 77711/77760
14: 310621/311040
15: 15511/15552
16: 412733/414720
17: 154249/155520
18: 1421/1440
19: 152363/155520
20: 603461/622080
21: 49637/51840
22: 73223/77760
23: 143429/155520
24: 559337/622080
25: 135653/155520
26: 65447/77760
27: 41861/51840
28: 958091/1244160
29: 9457/12960
30: 23737/34560
31: 12479/19440
32: 1447/2430
33: 3551/6480
34: 1/2
35: 2929/6480
36: 983/2430
37: 6961/19440
38: 10823/34560
39: 3503/12960
40: 286069/1244160
41: 9979/51840
42: 12313/77760
43: 19867/155520
44: 62743/622080
45: 12091/155520
46: 4537/77760
47: 2203/51840
48: 18619/622080
49: 3157/155520
50: 19/1440
51: 1271/155520
52: 1987/414720
53: 41/15552
54: 419/311040
55: 49/77760
56: 329/1244160
57: 1/10368
58: 1/34560
59: 1/155520
60: 1/1244160

Dice: [6, 6, 6, 6, 6, 12, 20]
7: 1/1
8: 1866239/1866240
9: 233279/233280
10: 51839/51840
11: 15551/15552
12: 62197/62208
13: 25909/25920
14: 1864529/1866240
15: 29107/29160
16: 41333/41472
17: 46385/46656
18: 924221/933120
19: 2837/2880
20: 608141/622080
21: 37621/38880
22: 65993/69120
23: 218977/233280
24: 1715353/1866240
25: 2903/3240
26: 1622041/1866240
27: 195649/233280
28: 375469/466560
29: 179071/233280
30: 452633/622080
31: 13319/19440
32: 298897/466560
33: 17339/29160
34: 15967/29160
35: 1/2
36: 13193/29160
37: 11821/29160
38: 167663/466560
39: 6121/19440
40: 169447/622080
41: 54209/233280
42: 91091/466560
43: 37631/233280
44: 244199/1866240
45: 337/3240
46: 150887/1866240
47: 14303/233280
48: 3127/69120
49: 1259/38880
50: 13939/622080
51: 43/2880
52: 8899/933120
53: 271/46656
54: 139/41472
55: 53/29160
56: 1711/1866240
57: 11/25920
58: 11/62208
59: 1/15552
60: 1/51840
61: 1/233280
62: 1/1866240

Dice: [4, 4, 4, 4, 8, 12, 20]
7: 1/1
8: 491519/491520
9: 61439/61440
10: 40957/40960
11: 4095/4096
12: 245597/245760
13: 12269/12288
14: 40829/40960
15: 20357/20480
16: 95/96
17: 60401/61440
18: 119689/122880
19: 19701/20480
20: 465223/491520
21: 1187/1280
22: 55561/61440
23: 1123/1280
24: 416071/491520
25: 16629/20480
26: 95113/122880
27: 45041/61440
28: 67789/98304
29: 2473/3840
30: 191/320
31: 2107/3840
32: 1/2
33: 1733/3840
34: 129/320
35: 1367/3840
36: 30515/98304
37: 16399/61440
38: 27767/122880
39: 3851/20480
40: 75449/491520
41: 157/1280
42: 5879/61440
43: 93/1280
44: 26297/491520
45: 779/20480
46: 3191/122880
47: 1039/61440
48: 1/96
49: 123/20480
50: 131/40960
51: 19/12288
52: 163/245760
53: 1/4096
54: 3/40960
55: 1/61440
56: 1/491520

Dice: [4, 4, 4, 6, 8, 12, 20]
7: 1/1
8: 737279/737280
9: 92159/92160
10: 20479/20480
11: 6143/6144
12: 245651/245760
13: 959/960
14: 735673/737280
15: 91777/92160
16: 731869/737280
17: 569/576
18: 144647/147456
19: 5969/6144
20: 88393/92160
21: 17389/18432
22: 681323/737280
23: 41519/46080
24: 644459/737280
25: 77729/92160
26: 74569/92160
27: 23701/30720
28: 134729/184320
29: 21131/30720
30: 473857/737280
31: 3433/5760
32: 1579/2880
33: 1/2
34: 1301/2880
35: 2327/5760
36: 263423/737280
37: 9589/30720
38: 49591/184320
39: 7019/30720
40: 17591/92160
41: 14431/92160
42: 92821/737280
43: 4561/46080
44: 55957/737280
45: 1043/18432
46: 3767/92160
47: 175/6144
48: 2809/147456
49: 7/576
50: 5411/737280
51: 383/92160
52: 1607/737280
53: 1/960
54: 109/245760
55: 1/6144
56: 1/20480
57: 1/92160
58: 1/737280

Dice: [4, 4, 6, 6, 8, 12, 20]
7: 1/1
8: 1105919/1105920
9: 138239/138240
10: 30719/30720
11: 9215/9216
12: 138199/138240
13: 138143/138240
14: 552139/552960
15: 137843/138240
16: 366739/368640
17: 68519/69120
18: 71/72
19: 67657/69120
20: 133961/138240
21: 66103/69120
22: 520007/552960
23: 7957/8640
24: 62057/69120
25: 1505/1728
26: 464711/552960
27: 11147/13824
28: 170101/221184
29: 2239/3072
30: 12647/18432
31: 88669/138240
32: 658177/1105920
33: 6311/11520
34: 1/2
35: 5209/11520
36: 447743/1105920
37: 49571/138240
38: 5785/18432
39: 833/3072
40: 51083/221184
41: 2677/13824
42: 88249/552960
43: 223/1728
44: 7063/69120
45: 683/8640
46: 32953/552960
47: 3017/69120
48: 4279/138240
49: 1463/69120
50: 1/72
51: 601/69120
52: 1901/368640
53: 397/138240
54: 821/552960
55: 97/138240
56: 41/138240
57: 1/9216
58: 1/30720
59: 1/138240
60: 1/1105920

Dice: [4, 6, 6, 6, 8, 12, 20]
7: 1/1
8: 1658879/1658880
9: 207359/207360
10: 46079/46080
11: 13823/13824
12: 1658551/1658880
13: 103631/103680
14: 552401/552960
15: 68983/69120
16: 413221/414720
17: 41215/41472
18: 1642171/1658880
19: 63/64
20: 270049/276480
21: 100219/103680
22: 98873/103680
23: 32399/34560
24: 761323/829440
25: 46381/51840
26: 719851/829440
27: 28943/34560
28: 444379/552960
29: 17663/23040
30: 40187/55296
31: 47309/69120
32: 29497/46080
33: 123229/207360
34: 181613/331776
35: 1/2
36: 150163/331776
37: 84131/207360
38: 16583/46080
39: 21811/69120
40: 15109/55296
41: 5377/23040
42: 108581/552960
43: 5617/34560
44: 109589/829440
45: 5459/51840
46: 68117/829440
47: 2161/34560
48: 4807/103680
49: 3461/103680
50: 6431/276480
51: 1/64
52: 16709/1658880
53: 257/41472
54: 1499/414720
55: 137/69120
56: 559/552960
57: 49/103680
58: 329/1658880
59: 1/13824
60: 1/46080
61: 1/207360
62: 1/1658880

Dice: [6, 6, 6, 6, 8, 12, 20]
7: 1/1
8: 2488319/2488320
9: 311039/311040
10: 69119/69120
11: 20735/20736
12: 82933/82944
13: 34549/34560
14: 155413/155520
15: 62123/62208
16: 248203/248832
17: 309671/311040
18: 617557/622080
19: 102491/103680
20: 2445121/2488320
21: 7579/7776
22: 149957/155520
23: 18487/19440
24: 581399/622080
25: 71141/77760
26: 13867/15552
27: 67253/77760
28: 138451/165888
29: 249137/311040
30: 475421/622080
31: 45083/62208
32: 339791/497664
33: 16559/25920
34: 41017/69120
35: 10633/19440
36: 1/2
37: 8807/19440
38: 28103/69120
39: 9361/25920
40: 157873/497664
41: 17125/62208
42: 146659/622080
43: 61903/311040
44: 27437/165888
45: 10507/77760
46: 1685/15552
47: 6619/77760
48: 40681/622080
49: 953/19440
50: 5563/155520
51: 197/7776
52: 43199/2488320
53: 1189/103680
54: 4523/622080
55: 1369/311040
56: 629/248832
57: 85/62208
58: 107/155520
59: 11/34560
60: 11/82944
61: 1/20736
62: 1/69120
63: 1/311040
64: 1/2488320

Dice: [4, 4, 4, 8, 8, 12, 20]
7: 1/1
8: 983039/983040
9: 122879/122880
10: 81917/81920
11: 8191/8192
12: 327571/327680
13: 1279/1280
14: 40893/40960
15: 319/320
16: 488797/491520
17: 20291/20480
18: 473/480
19: 20029/20480
20: 951623/983040
21: 117377/122880
22: 76937/81920
23: 37669/40960
24: 440647/491520
25: 35621/40960
26: 13749/16384
27: 19789/24576
28: 31459/40960
29: 17891/24576
30: 168457/245760
31: 26251/40960
32: 116941/196608
33: 701/1280
34: 1/2
35: 579/1280
36: 79667/196608
37: 14709/40960
38: 77303/245760
39: 6685/24576
40: 9501/40960
41: 4787/24576
42: 2635/16384
43: 5339/40960
44: 50873/491520
45: 3291/40960
46: 4983/81920
47: 5503/122880
48: 31417/983040
49: 451/20480
50: 7/480
51: 189/20480
52: 2723/491520
53: 1/320
54: 67/40960
55: 1/1280
56: 109/327680
57: 1/8192
58: 3/81920
59: 1/122880
60: 1/983040

Dice: [4, 4, 6, 8, 8, 12, 20]
7: 1/1
8: 1474559/1474560
9: 184319/184320
10: 40959/40960
11: 12287/12288
12: 184279/184320
13: 184223/184320
14: 1472917/1474560
15: 91961/92160
16: 734411/737280
17: 2861/2880
18: 364727/368640
19: 2833/2880
20: 479671/491520
21: 35597/36864
22: 78031/81920
23: 172573/184320
24: 1351603/1474560
25: 82337/92160
26: 255575/294912
27: 154141/184320
28: 236675/294912
29: 70561/92160
30: 356803/491520
31: 126031/184320
32: 15719/24576
33: 36491/61440
34: 89657/163840
35: 1/2
36: 74183/163840
37: 24949/61440
38: 8857/24576
39: 58289/184320
40: 134717/491520
41: 21599/92160
42: 58237/294912
43: 30179/184320
44: 39337/294912
45: 9823/92160
46: 122957/1474560
47: 11747/184320
48: 3889/81920
49: 1267/36864
50: 11849/491520
51: 47/2880
52: 3913/368640
53: 19/2880
54: 2869/737280
55: 199/92160
56: 1643/1474560
57: 97/184320
58: 41/184320
59: 1/12288
60: 1/40960
61: 1/184320
62: 1/1474560

Dice: [4, 6, 6, 8, 8, 12, 20]
7: 1/1
8: 2211839/2211840
9: 276479/276480
10: 61439/61440
11: 18431/18432
12: 2211511/2211840
13: 138191/138240
14: 1105081/1105920
15: 69017/69120
16: 2205809/2211840
17: 91727/92160
18: 1097419/1105920
19: 273157/276480
20: 434381/442368
21: 2493/2560
22: 1065287/1105920
23: 43771/46080
24: 5735/6144
25: 42101/46080
26: 492359/552960
27: 39797/46080
28: 1843417/2211840
29: 44231/55296
30: 844121/1105920
31: 66713/92160
32: 251447/368640
33: 58829/92160
34: 21863/36864
35: 151177/276480
36: 1/2
37: 125303/276480
38: 15001/36864
39: 33331/92160
40: 117193/368640
41: 25447/92160
42: 261799/1105920
43: 11065/55296
44: 368423/2211840
45: 6283/46080
46: 60601/552960
47: 3979/46080
48: 409/6144
49: 2309/46080
50: 40633/1105920
51: 67/2560
52: 7987/442368
53: 3323/276480
54: 8501/1105920
55: 433/92160
56: 6031/2211840
57: 103/69120
58: 839/1105920
59: 49/138240
60: 329/2211840
61: 1/18432
62: 1/61440
63: 1/276480
64: 1/2211840

Dice: [6, 6, 6, 8, 8, 12, 20]
7: 1/1
8: 3317759/3317760
9: 414719/414720
10: 92159/92160
11: 27647/27648
12: 110581/110592
13: 46069/46080
14: 1105349/1105920
15: 69049/69120
16: 662287/663552
17: 137779/138240
18: 1649687/1658880
19: 137023/138240
20: 1636589/1658880
21: 406513/414720
22: 1074713/1105920
23: 66419/69120
24: 157147/165888
25: 64327/69120
26: 302167/331776
27: 30671/34560
28: 2855783/3317760
29: 344491/414720
30: 41333/51840
31: 7013/9216
32: 798343/1105920
33: 70549/103680
34: 422735/663552
35: 81869/138240
36: 1812707/3317760
37: 1/2
38: 1505053/3317760
39: 56371/138240
40: 240817/663552
41: 33131/103680
42: 307577/1105920
43: 2203/9216
44: 10507/51840
45: 70229/414720
46: 461977/3317760
47: 3889/34560
48: 29609/331776
49: 4793/69120
50: 8741/165888
51: 2701/69120
52: 31207/1105920
53: 8207/414720
54: 22291/1658880
55: 1217/138240
56: 9193/1658880
57: 461/138240
58: 1265/663552
59: 71/69120
60: 571/1105920
61: 11/46080
62: 11/110592
63: 1/27648
64: 1/92160
65: 1/414720
66: 1/3317760

Dice: [4, 4, 8, 8, 8, 12, 20]
7: 1/1
8: 1966079/1966080
9: 245759/245760
10: 163837/163840
11: 16383/16384
12: 245719/245760
13: 245663/245760
14: 163703/163840
15: 81787/81920
16: 1960307/1966080
17: 8151/8192
18: 243767/245760
19: 8089/8192
20: 1929217/1966080
21: 239123/245760
22: 472987/491520
23: 77727/81920
24: 1832917/1966080
25: 2803/3072
26: 72841/81920
27: 13247/15360
28: 163631/196608
29: 98159/122880
30: 93673/122880
31: 88849/122880
32: 1339721/1966080
33: 156751/245760
34: 291337/491520
35: 44779/81920
36: 1/2
37: 37141/81920
38: 200183/491520
39: 89009/245760
40: 626359/1966080
41: 34031/122880
42: 29207/122880
43: 24721/122880
44: 32977/196608
45: 2113/15360
46: 9079/81920
47: 269/3072
48: 133163/1966080
49: 4193/81920
50: 18533/491520
51: 6637/245760
52: 36863/1966080
53: 103/8192
54: 1993/245760
55: 41/8192
56: 5773/1966080
57: 133/81920
58: 137/163840
59: 97/245760
60: 41/245760
61: 1/16384
62: 3/163840
63: 1/245760
64: 1/1966080

Dice: [4, 6, 8, 8, 8, 12, 20]
7: 1/1
8: 2949119/2949120
9: 368639/368640
10: 81919/81920
11: 24575/24576
12: 2948791/2949120
13: 184271/184320
14: 2947441/2949120
15: 368227/368640
16: 163503/163840
17: 367327/368640
18: 195455/196608
19: 182617/184320
20: 581567/589824
21: 40121/40960
22: 1431733/1474560
23: 70777/73728
24: 348827/368640
25: 342659/368640
26: 2682433/2949120
27: 163357/184320
28: 1267489/1474560
29: 25483/30720
30: 587071/737280
31: 70043/92160
32: 425303/589824
33: 50119/73728
34: 312887/491520
35: 218191/368640
36: 536929/983040
37: 1/2
38: 446111/983040
39: 150449/368640
40: 178633/491520
41: 23609/73728
42: 164521/589824
43: 22117/92160
44: 150209/737280
45: 5237/30720
46: 207071/1474560
47: 20963/184320
48: 266687/2949120
49: 25981/368640
50: 19813/368640
51: 2951/73728
52: 42827/1474560
53: 839/40960
54: 8257/589824
55: 1703/184320
56: 1153/196608
57: 1313/368640
58: 337/163840
59: 413/368640
60: 1679/2949120
61: 49/184320
62: 329/2949120
63: 1/24576
64: 1/81920
65: 1/368640
66: 1/2949120

Dice: [6, 6, 8, 8, 8, 12, 20]
7: 1/1
8: 4423679/4423680
9: 552959/552960
10: 122879/122880
11: 36863/36864
12: 147445/147456
13: 61429/61440
14: 2210983/2211840
15: 552533/552960
16: 36811/36864
17: 551563/552960
18: 110125/110592
19: 12205/12288
20: 729619/737280
21: 36295/36864
22: 360451/368640
23: 535783/552960
24: 847301/884736
25: 17395/18432
26: 136667/147456
27: 1741/1920
28: 3908017/4423680
29: 473761/552960
30: 609613/737280
31: 48769/61440
32: 3352099/4423680
33: 198821/276480
34: 1500011/2211840
35: 87829/138240
36: 435767/737280
37: 30179/55296
38: 1/2
39: 25117/55296
40: 301513/737280
41: 50411/138240
42: 711829/2211840
43: 77659/276480
44: 1071581/4423680
45: 12671/61440
46: 127667/737280
47: 79199/552960
48: 515663/4423680
49: 179/1920
50: 10789/147456
51: 1037/18432
52: 37435/884736
53: 17177/552960
54: 8189/368640
55: 569/36864
56: 7661/737280
57: 83/12288
58: 467/110592
59: 1397/552960
60: 53/36864
61: 427/552960
62: 857/2211840
63: 11/61440
64: 11/147456
65: 1/36864
66: 1/122880
67: 1/552960
68: 1/4423680

Dice: [4, 8, 8, 8, 8, 12, 20]
7: 1/1
8: 3932159/3932160
9: 491519/491520
10: 327677/327680
11: 32767/32768
12: 3931831/3932160
13: 245711/245760
14: 16377/16384
15: 81851/81920
16: 3926059/3932160
17: 490193/491520
18: 978643/983040
19: 162677/163840
20: 324127/327680
21: 483653/491520
22: 960521/983040
23: 158617/163840
24: 1881067/1966080
25: 463363/491520
26: 910033/983040
27: 445133/491520
28: 1156409/1310720
29: 70093/81920
30: 405869/491520
31: 38965/49152
32: 2976031/3932160
33: 353069/491520
34: 666029/983040
35: 62407/98304
36: 2322761/3932160
37: 134087/245760
38: 1/2
39: 111673/245760
40: 1609399/3932160
41: 35897/98304
42: 317011/983040
43: 138451/491520
44: 956129/3932160
45: 10187/49152
46: 85651/491520
47: 11827/81920
48: 154311/1310720
49: 46387/491520
50: 73007/983040
51: 28157/491520
52: 85013/1966080
53: 5223/163840
54: 22519/983040
55: 7867/491520
56: 3553/327680
57: 1163/163840
58: 4397/983040
59: 1327/491520
60: 6101/3932160
61: 69/81920
62: 7/16384
63: 49/245760
64: 329/3932160
65: 1/32768
66: 3/327680
67: 1/491520
68: 1/3932160

Dice: [6, 8, 8, 8, 8, 12, 20]
7: 1/1
8: 5898239/5898240
9: 737279/737280
10: 163839/163840
11: 49151/49152
12: 196597/196608
13: 81909/81920
14: 1179305/1179648
15: 184213/184320
16: 1178369/1179648
17: 735869/737280
18: 2939633/2949120
19: 244487/245760
20: 5850889/5898240
21: 22763/23040
22: 5795291/5898240
23: 719119/737280
24: 5698451/5898240
25: 175937/184320
26: 616211/655360
27: 680599/737280
28: 887599/983040
29: 129691/147456
30: 5030717/5898240
31: 303443/368640
32: 1553831/1966080
33: 556391/737280
34: 2112803/2949120
35: 166121/245760
36: 1868651/2949120
37: 86983/147456
38: 71459/131072
39: 1/2
40: 59613/131072
41: 60473/147456
42: 1080469/2949120
43: 79639/245760
44: 836317/2949120
45: 180889/737280
46: 412249/1966080
47: 65197/368640
48: 867523/5898240
49: 17765/147456
50: 95441/983040
51: 56681/737280
52: 39149/655360
53: 8383/184320
54: 199789/5898240
55: 18161/737280
56: 102949/5898240
57: 277/23040
58: 47351/5898240
59: 1273/245760
60: 9487/2949120
61: 1411/737280
62: 1279/1179648
63: 107/184320
64: 343/1179648
65: 11/81920
66: 11/196608
67: 1/49152
68: 1/163840
69: 1/737280
70: 1/5898240

Dice: [8, 8, 8, 8, 8, 12, 20]
7: 1/1
8: 7864319/7864320
9: 983039/983040
10: 655357/655360
11: 65535/65536
12: 262133/262144
13: 327647/327680
14: 655217/655360
15: 327537/327680
16: 785789/786432
17: 65441/65536
18: 1961263/1966080
19: 326379/327680
20: 7815583/7864320
21: 486923/491520
22: 161597/163840
23: 160647/163840
24: 3825829/3932160
25: 39459/40960
26: 311759/327680
27: 115123/122880
28: 7231361/7864320
29: 883921/983040
30: 1721771/1966080
31: 278261/327680
32: 3222629/3932160
33: 773627/983040
34: 492589/655360
35: 46779/65536
36: 220783/327680
37: 207081/327680
38: 1157549/1966080
39: 535381/983040
40: 1/2
41: 447659/983040
42: 808531/1966080
43: 120599/327680
44: 106897/327680
45: 18757/65536
46: 162771/655360
47: 209413/983040
48: 709531/3932160
49: 49419/327680
50: 244309/1966080
51: 99119/983040
52: 632959/7864320
53: 7757/122880
54: 15921/327680
55: 1501/40960
56: 106331/3932160
57: 3193/163840
58: 2243/163840
59: 4597/491520
60: 48737/7864320
61: 1301/327680
62: 4817/1966080
63: 95/65536
64: 643/786432
65: 143/327680
66: 143/655360
67: 33/327680
68: 11/262144
69: 1/65536
70: 3/655360
71: 1/983040
72: 1/7864320

Dice: [4, 4, 4, 4, 12, 12, 20]
7: 1/1
8: 737279/737280
9: 92159/92160
10: 20479/20480
11: 6143/6144
12: 368477/368640
13: 18413/18432
14: 61309/61440
15: 10199/10240
16: 81351/81920
17: 1139/1152
18: 283/288
19: 1871/1920
20: 39481/40960
21: 43801/46080
22: 86089/92160
23: 2809/3072
24: 18251/20480
25: 13277/15360
26: 76873/92160
27: 36889/46080
28: 563203/737280
29: 66769/92160
30: 125833/184320
31: 58879/92160
32: 437573/737280
33: 25207/46080
34: 1/2
35: 20873/46080
36: 299707/737280
37: 33281/92160
38: 58487/184320
39: 25391/92160
40: 174077/737280
41: 9191/46080
42: 15287/92160
43: 2083/15360
44: 2229/20480
45: 263/3072
46: 6071/92160
47: 2279/46080
48: 1479/40960
49: 49/1920
50: 5/288
51: 13/1152
52: 569/81920
53: 41/10240
54: 131/61440
55: 19/18432
56: 163/368640
57: 1/6144
58: 1/20480
59: 1/92160
60: 1/737280

Dice: [4, 4, 4, 6, 12, 12, 20]
7: 1/1
8: 1105919/1105920
9: 138239/138240
10: 30719/30720
11: 9215/9216
12: 368531/368640
13: 1439/1440
14: 1104313/1105920
15: 137857/138240
16: 91709/92160
17: 137119/138240
18: 1091839/1105920
19: 565/576
20: 179243/184320
21: 1477/1536
22: 14561/15360
23: 12875/13824
24: 504007/552960
25: 1279/1440
26: 476359/552960
27: 57463/69120
28: 176501/221184
29: 105283/138240
30: 133169/184320
31: 31381/46080
32: 352547/552960
33: 81919/138240
34: 604451/1105920
35: 1/2
36: 501469/1105920
37: 56321/138240
38: 200413/552960
39: 14699/46080
40: 51151/184320
41: 32957/138240
42: 44683/221184
43: 11657/69120
44: 76601/552960
45: 161/1440
46: 48953/552960
47: 949/13824
48: 799/15360
49: 59/1536
50: 5077/184320
51: 11/576
52: 14081/1105920
53: 1121/138240
54: 451/92160
55: 383/138240
56: 1607/1105920
57: 1/1440
58: 109/368640
59: 1/9216
60: 1/30720
61: 1/138240
62: 1/1105920

Dice: [4, 4, 6, 6, 12, 12, 20]
7: 1/1
8: 1658879/1658880
9: 207359/207360
10: 46079/46080
11: 13823/13824
12: 207319/207360
13: 207263/207360
14: 828619/829440
15: 206963/207360
16: 206647/207360
17: 68719/69120
18: 136957/138240
19: 204419/207360
20: 1624321/1658880
21: 20123/20736
22: 66307/69120
23: 6535/6912
24: 96281/103680
25: 94207/103680
26: 367157/414720
27: 89023/103680
28: 458203/552960
29: 164947/207360
30: 104969/138240
31: 29881/41472
32: 225397/331776
33: 733/1152
34: 490787/829440
35: 56621/103680
36: 1/2
37: 47059/103680
38: 338653/829440
39: 419/1152
40: 106379/331776
41: 11591/41472
42: 33271/138240
43: 42413/207360
44: 94757/552960
45: 14657/103680
46: 47563/414720
47: 9473/103680
48: 7399/103680
49: 377/6912
50: 2813/69120
51: 613/20736
52: 34559/1658880
53: 2941/207360
54: 1283/138240
55: 401/69120
56: 713/207360
57: 397/207360
58: 821/829440
59: 97/207360
60: 41/207360
61: 1/13824
62: 1/46080
63: 1/207360
64: 1/1658880

Dice: [4, 6, 6, 6, 12, 12, 20]
7: 1/1
8: 2488319/2488320
9: 311039/311040
10: 69119/69120
11: 20735/20736
12: 2487991/2488320
13: 155471/155520
14: 828881/829440
15: 103543/103680
16: 827441/829440
17: 154877/155520
18: 494315/497664
19: 20519/20736
20: 1224703/1244160
21: 304021/311040
22: 2409767/2488320
23: 49613/51840
24: 1173209/1244160
25: 18001/19440
26: 375679/414720
27: 45749/51840
28: 2129659/2488320
29: 256913/311040
30: 986603/1244160
31: 5233/6912
32: 111751/155520
33: 23423/34560
34: 1580171/2488320
35: 1021/1728
36: 339457/622080
37: 1/2
38: 282623/622080
39: 707/1728
40: 908149/2488320
41: 11137/34560
42: 43769/155520
43: 1679/6912
44: 257557/1244160
45: 54127/311040
46: 358661/2488320
47: 6091/51840
48: 39041/414720
49: 1439/19440
50: 70951/1244160
51: 2227/51840
52: 78553/2488320
53: 7019/311040
54: 19457/1244160
55: 217/20736
56: 3349/497664
57: 643/155520
58: 1999/829440
59: 137/103680
60: 559/829440
61: 49/155520
62: 329/2488320
63: 1/20736
64: 1/69120
65: 1/311040
66: 1/2488320

Dice: [6, 6, 6, 6, 12, 12, 20]
7: 1/1
8: 3732479/3732480
9: 466559/466560
10: 103679/103680
11: 31103/31104
12: 124405/124416
13: 51829/51840
14: 233173/233280
15: 93227/93312
16: 138007/138240
17: 46519/46656
18: 232147/233280
19: 25721/25920
20: 461119/466560
21: 229291/233280
22: 101161/103680
23: 225451/233280
24: 712759/746496
25: 48757/51840
26: 53851/58320
27: 84275/93312
28: 3283687/3732480
29: 12439/14580
30: 768313/933120
31: 30737/38880
32: 2817629/3732480
33: 334361/466560
34: 630941/933120
35: 295711/466560
36: 2202251/3732480
37: 63599/116640
38: 1/2
39: 53041/116640
40: 1530229/3732480
41: 170849/466560
42: 302179/933120
43: 132199/466560
44: 914851/3732480
45: 8143/38880
46: 164807/933120
47: 2141/14580
48: 448793/3732480
49: 9037/93312
50: 4469/58320
51: 3083/51840
52: 33737/746496
53: 7829/233280
54: 2519/103680
55: 3989/233280
56: 5441/466560
57: 199/25920
58: 1133/233280
59: 137/46656
60: 233/138240
61: 85/93312
62: 107/233280
63: 11/51840
64: 11/124416
65: 1/31104
66: 1/103680
67: 1/466560
68: 1/3732480

Dice: [4, 4, 4, 8, 12, 12, 20]
7: 1/1
8: 1474559/1474560
9: 184319/184320
10: 40959/40960
11: 12287/12288
12: 491411/491520
13: 1919/1920
14: 61373/61440
15: 479/480
16: 1469113/1474560
17: 36637/36864
18: 365047/368640
19: 60533/61440
20: 160313/163840
21: 9929/10240
22: 58883/61440
23: 9671/10240
24: 75983/81920
25: 5227/5760
26: 81481/92160
27: 4939/5760
28: 1220239/1474560
29: 146431/184320
30: 93193/122880
31: 44219/61440
32: 41699/61440
33: 39061/61440
34: 217993/368640
35: 20125/36864
36: 1/2
37: 16739/36864
38: 150647/368640
39: 22379/61440
40: 19741/61440
41: 17221/61440
42: 29687/122880
43: 37889/184320
44: 254321/1474560
45: 821/5760
46: 10679/92160
47: 533/5760
48: 5937/81920
49: 569/10240
50: 2557/61440
51: 311/10240
52: 3527/163840
53: 907/61440
54: 3593/368640
55: 227/36864
56: 5447/1474560
57: 1/480
58: 67/61440
59: 1/1920
60: 109/491520
61: 1/12288
62: 1/40960
63: 1/184320
64: 1/1474560

Dice: [4, 4, 6, 8, 12, 12, 20]
7: 1/1
8: 2211839/2211840
9: 276479/276480
10: 61439/61440
11: 18431/18432
12: 276439/276480
13: 276383/276480
14: 2210197/2211840
15: 138041/138240
16: 735367/737280
17: 275263/276480
18: 274519/276480
19: 273457/276480
20: 120887/122880
21: 270049/276480
22: 2140231/2211840
23: 26435/27648
24: 130217/138240
25: 42619/46080
26: 200111/221184
27: 60919/69120
28: 630173/737280
29: 228067/276480
30: 437933/552960
31: 209069/276480
32: 1587599/2211840
33: 93601/138240
34: 280693/442368
35: 54421/92160
36: 1206563/2211840
37: 1/2
38: 1005277/2211840
39: 37739/92160
40: 161675/442368
41: 44639/138240
42: 624241/2211840
43: 67411/276480
44: 115027/552960
45: 48413/276480
46: 107107/737280
47: 8201/69120
48: 21073/221184
49: 3461/46080
50: 8023/138240
51: 1213/27648
52: 71609/2211840
53: 6431/276480
54: 1993/122880
55: 3023/276480
56: 1961/276480
57: 1217/276480
58: 1913/737280
59: 199/138240
60: 1643/2211840
61: 97/276480
62: 41/276480
63: 1/18432
64: 1/61440
65: 1/276480
66: 1/2211840

Dice: [4, 6, 6, 8, 12, 12, 20]
7: 1/1
8: 3317759/3317760
9: 414719/414720
10: 92159/92160
11: 27647/27648
12: 3317431/3317760
13: 207311/207360
14: 1658041/1658880
15: 103577/103680
16: 206983/207360
17: 20671/20736
18: 1650361/1658880
19: 205691/207360
20: 1092499/1105920
21: 407387/414720
22: 89857/92160
23: 400469/414720
24: 1054939/1105920
25: 97411/103680
26: 764999/829440
27: 23381/25920
28: 583021/663552
29: 117787/138240
30: 42629/51840
31: 327451/414720
32: 1250797/1658880
33: 296887/414720
34: 1120601/1658880
35: 29183/46080
36: 391285/663552
37: 113029/207360
38: 1/2
39: 94331/207360
40: 272267/663552
41: 16897/46080
42: 538279/1658880
43: 117833/414720
44: 408083/1658880
45: 87269/414720
46: 9211/51840
47: 20453/138240
48: 80531/663552
49: 2539/25920
50: 64441/829440
51: 6269/103680
52: 50981/1105920
53: 14251/414720
54: 2303/92160
55: 7333/414720
56: 13421/1105920
57: 1669/207360
58: 8519/1658880
59: 65/20736
60: 377/207360
61: 103/103680
62: 839/1658880
63: 49/207360
64: 329/3317760
65: 1/27648
66: 1/92160
67: 1/414720
68: 1/3317760

Dice: [6, 6, 6, 8, 12, 12, 20]
7: 1/1
8: 4976639/4976640
9: 622079/622080
10: 138239/138240
11: 41471/41472
12: 165877/165888
13: 69109/69120
14: 1658309/1658880
15: 103609/103680
16: 2485157/2488320
17: 77587/77760
18: 2479109/2488320
19: 103069/103680
20: 4931729/4976640
21: 122755/124416
22: 813557/829440
23: 201821/207360
24: 99913/103680
25: 592037/622080
26: 4663841/4976640
27: 47681/51840
28: 4476077/4976640
29: 181643/207360
30: 52841/62208
31: 169993/207360
32: 783535/995328
33: 11693/15552
34: 1184459/1658880
35: 9317/13824
36: 786461/1244160
37: 40703/69120
38: 2710663/4976640
39: 1/2
40: 2265977/4976640
41: 28417/69120
42: 457699/1244160
43: 4507/13824
44: 474421/1658880
45: 3859/15552
46: 211793/995328
47: 37367/207360
48: 9367/62208
49: 25717/207360
50: 500563/4976640
51: 4159/51840
52: 312799/4976640
53: 30043/622080
54: 3767/103680
55: 5539/207360
56: 15883/829440
57: 1661/124416
58: 44911/4976640
59: 611/103680
60: 9211/2488320
61: 173/77760
62: 3163/2488320
63: 71/103680
64: 571/1658880
65: 11/69120
66: 11/165888
67: 1/41472
68: 1/138240
69: 1/622080
70: 1/4976640

Dice: [4, 4, 8, 8, 12, 12, 20]
7: 1/1
8: 2949119/2949120
9: 368639/368640
10: 81919/81920
11: 24575/24576
12: 368599/368640
13: 368543/368640
14: 245623/245760
15: 122747/122880
16: 1471673/1474560
17: 367409/368640
18: 146657/147456
19: 8123/8192
20: 291193/294912
21: 361907/368640
22: 143669/147456
23: 118559/122880
24: 312279/327680
25: 172993/184320
26: 339611/368640
27: 166063/184320
28: 2587933/2949120
29: 6971/8192
30: 605503/737280
31: 58141/73728
32: 444203/589824
33: 131807/184320
34: 124393/184320
35: 116641/184320
36: 72419/122880
37: 100439/184320
38: 1/2
39: 83881/184320
40: 50461/122880
41: 67679/184320
42: 59927/184320
43: 52513/184320
44: 145621/589824
45: 15587/73728
46: 131777/737280
47: 1221/8192
48: 361187/2949120
49: 18257/184320
50: 29029/368640
51: 11327/184320
52: 15401/327680
53: 4321/122880
54: 3787/147456
55: 6733/368640
56: 3719/294912
57: 69/8192
58: 799/147456
59: 1231/368640
60: 2887/1474560
61: 133/122880
62: 137/245760
63: 97/368640
64: 41/368640
65: 1/24576
66: 1/81920
67: 1/368640
68: 1/2949120

Dice: [4, 6, 8, 8, 12, 12, 20]
7: 1/1
8: 4423679/4423680
9: 552959/552960
10: 122879/122880
11: 36863/36864
12: 4423351/4423680
13: 276431/276480
14: 4422001/4423680
15: 552547/552960
16: 4417613/4423680
17: 30647/30720
18: 1468783/1474560
19: 549539/552960
20: 1460689/1474560
21: 17041/17280
22: 1445461/1474560
23: 179269/184320
24: 2129719/2211840
25: 525763/552960
26: 153383/163840
27: 84671/92160
28: 3973991/4423680
29: 483781/552960
30: 1876421/2211840
31: 10061/12288
32: 1739059/2211840
33: 46141/61440
34: 3155197/4423680
35: 93083/138240
36: 1397081/2211840
37: 162721/276480
38: 133819/245760
39: 1/2
40: 111941/245760
41: 113759/276480
42: 814759/2211840
43: 45157/138240
44: 1268483/4423680
45: 15299/61440
46: 472781/2211840
47: 2227/12288
48: 335419/2211840
49: 69179/552960
50: 449689/4423680
51: 7489/92160
52: 10457/163840
53: 27197/552960
54: 82121/2211840
55: 5051/184320
56: 29099/1474560
57: 239/17280
58: 13871/1474560
59: 3421/552960
60: 5777/1474560
61: 73/30720
62: 6067/4423680
63: 413/552960
64: 1679/4423680
65: 49/276480
66: 329/4423680
67: 1/36864
68: 1/122880
69: 1/552960
70: 1/4423680

Dice: [6, 6, 8, 8, 12, 12, 20]
7: 1/1
8: 6635519/6635520
9: 829439/829440
10: 184319/184320
11: 55295/55296
12: 221173/221184
13: 92149/92160
14: 3316903/3317760
15: 829013/829440
16: 6629159/6635520
17: 138007/138240
18: 1654201/1658880
19: 27523/27648
20: 1317845/1327104
21: 820807/829440
22: 3267787/3317760
23: 270617/276480
24: 1073719/1105920
25: 88559/92160
26: 98357/103680
27: 154913/165888
28: 3039961/3317760
29: 148601/165888
30: 1447063/1658880
31: 233849/276480
32: 5416699/6635520
33: 81281/103680
34: 92027/122880
35: 295049/414720
36: 4458019/6635520
37: 11621/18432
38: 1950041/3317760
39: 451309/829440
40: 1/2
41: 378131/829440
42: 1367719/3317760
43: 6811/18432
44: 2177501/6635520
45: 119671/414720
46: 30853/122880
47: 22399/103680
48: 1218821/6635520
49: 42631/276480
50: 211817/1658880
51: 17287/165888
52: 277799/3317760
53: 10975/165888
54: 5323/103680
55: 3601/92160
56: 32201/1105920
57: 5863/276480
58: 49973/3317760
59: 8633/829440
60: 9259/1327104
61: 125/27648
62: 4679/1658880
63: 233/138240
64: 6361/6635520
65: 427/829440
66: 857/3317760
67: 11/92160
68: 11/221184
69: 1/55296
70: 1/184320
71: 1/829440
72: 1/6635520

Dice: [4, 8, 8, 8, 12, 12, 20]
7: 1/1
8: 5898239/5898240
9: 737279/737280
10: 163839/163840
11: 49151/49152
12: 5897911/5898240
13: 368591/368640
14: 24569/24576
15: 40937/40960
16: 327341/327680
17: 45997/46080
18: 735077/737280
19: 15287/15360
20: 1463819/1474560
21: 182329/184320
22: 145163/147456
23: 60101/61440
24: 5722441/5898240
25: 707893/737280
26: 1397567/1474560
27: 687803/737280
28: 1349611/1474560
29: 659681/737280
30: 256945/294912
31: 622831/737280
32: 1202237/1474560
33: 577309/737280
34: 220615/294912
35: 523987/737280
36: 3959071/5898240
37: 116123/184320
38: 216553/368640
39: 100261/184320
40: 1/2
41: 84059/184320
42: 152087/368640
43: 68197/184320
44: 1939169/5898240
45: 213293/737280
46: 74297/294912
47: 159971/737280
48: 272323/1474560
49: 114449/737280
50: 37967/294912
51: 77599/737280
52: 124949/1474560
53: 49477/737280
54: 76993/1474560
55: 29387/737280
56: 175799/5898240
57: 1339/61440
58: 2293/147456
59: 1991/184320
60: 10741/1474560
61: 73/15360
62: 2203/737280
63: 83/46080
64: 339/327680
65: 23/40960
66: 7/24576
67: 49/368640
68: 329/5898240
69: 1/49152
70: 1/163840
71: 1/737280
72: 1/5898240

Dice: [6, 8, 8, 8, 12, 12, 20]
7: 1/1
8: 8847359/8847360
9: 1105919/1105920
10: 245759/245760
11: 73727/73728
12: 294901/294912
13: 122869/122880
14: 1769129/1769472
15: 276373/276480
16: 736747/737280
17: 276127/276480
18: 882835/884736
19: 20409/20480
20: 27499/27648
21: 548479/552960
22: 728561/737280
23: 543673/552960
24: 1728301/1769472
25: 71405/73728
26: 706477/737280
27: 348611/368640
28: 8233429/8847360
29: 126193/138240
30: 7894183/8847360
31: 320257/368640
32: 7452109/8847360
33: 89905/110592
34: 6908039/8847360
35: 825077/1105920
36: 17423/24576
37: 740711/1105920
38: 5563939/8847360
39: 162203/276480
40: 240455/442368
41: 1/2
42: 201913/442368
43: 114277/276480
44: 3283421/8847360
45: 365209/1105920
46: 7153/24576
47: 280843/1105920
48: 1939321/8847360
49: 20687/110592
50: 1395251/8847360
51: 48383/368640
52: 953177/8847360
53: 12047/138240
54: 613931/8847360
55: 20029/368640
56: 30803/737280
57: 2323/73728
58: 41171/1769472
59: 9287/552960
60: 8719/737280
61: 4481/552960
62: 149/27648
63: 71/20480
64: 1901/884736
65: 353/276480
66: 533/737280
67: 107/276480
68: 343/1769472
69: 11/122880
70: 11/294912
71: 1/73728
72: 1/245760
73: 1/1105920
74: 1/8847360

Dice: [8, 8, 8, 8, 12, 12, 20]
7: 1/1
8: 11796479/11796480
9: 1474559/1474560
10: 327679/327680
11: 98303/98304
12: 393205/393216
13: 163829/163840
14: 982897/983040
15: 491377/491520
16: 11790049/11796480
17: 736567/737280
18: 1472147/1474560
19: 245107/245760
20: 5873707/5898240
21: 366317/368640
22: 121741/122880
23: 121249/122880
24: 1286413/1310720
25: 1437209/1474560
26: 2849197/2949120
27: 281803/294912
28: 2224177/2359296
29: 227929/245760
30: 670573/737280
31: 72813/81920
32: 106327/122880
33: 41233/49152
34: 59695/73728
35: 573409/737280
36: 2922673/3932160
37: 347267/491520
38: 656429/983040
39: 925031/1474560
40: 6908191/11796480
41: 100091/184320
42: 1/2
43: 84229/184320
44: 4888289/11796480
45: 549529/1474560
46: 326611/983040
47: 144253/491520
48: 1009487/3932160
49: 163871/737280
50: 14033/73728
51: 7919/49152
52: 16553/122880
53: 9107/81920
54: 66707/737280
55: 17831/245760
56: 135119/2359296
57: 13109/294912
58: 99923/2949120
59: 37351/1474560
60: 24307/1310720
61: 1631/122880
62: 1139/122880
63: 2323/368640
64: 24533/5898240
65: 653/245760
66: 2413/1474560
67: 713/737280
68: 6431/11796480
69: 143/491520
70: 143/983040
71: 11/163840
72: 11/393216
73: 1/98304
74: 1/327680
75: 1/1474560
76: 1/11796480

Dice: [4, 4, 4, 12, 12, 12, 20]
7: 1/1
8: 2211839/2211840
9: 276479/276480
10: 61439/61440
11: 18431/18432
12: 737171/737280
13: 2879/2880
14: 92093/92160
15: 719/720
16: 91933/92160
17: 17209/17280
18: 274679/276480
19: 1901/1920
20: 2179771/2211840
21: 270787/276480
22: 35815/36864
23: 9847/10240
24: 233317/245760
25: 5383/5760
26: 126761/138240
27: 15491/17280
28: 1930897/2211840
29: 78011/92160
30: 451757/552960
31: 24103/30720
32: 138151/184320
33: 13123/18432
34: 123913/184320
35: 174403/276480
36: 1300483/2211840
37: 2351/4320
38: 1/2
39: 1969/4320
40: 911357/2211840
41: 102077/276480
42: 60407/184320
43: 5309/18432
44: 46169/184320
45: 6617/30720
46: 101203/552960
47: 14149/92160
48: 280943/2211840
49: 1789/17280
50: 11479/138240
51: 377/5760
52: 12443/245760
53: 393/10240
54: 1049/36864
55: 5693/276480
56: 32069/2211840
57: 19/1920
58: 1801/276480
59: 71/17280
60: 227/92160
61: 1/720
62: 67/92160
63: 1/2880
64: 109/737280
65: 1/18432
66: 1/61440
67: 1/276480
68: 1/2211840

Dice: [4, 4, 6, 12, 12, 12, 20]
7: 1/1
8: 3317759/3317760
9: 414719/414720
10: 92159/92160
11: 27647/27648
12: 414679/414720
13: 414623/414720
14: 3316117/3317760
15: 207161/207360
16: 165601/165888
17: 68917/69120
18: 825509/829440
19: 205841/207360
20: 1093853/1105920
21: 408193/414720
22: 6337/6480
23: 134069/138240
24: 159199/165888
25: 392833/414720
26: 343661/368640
27: 94819/103680
28: 36617/40960
29: 360997/414720
30: 700031/829440
31: 337819/414720
32: 2595613/3317760
33: 154993/207360
34: 2356183/3317760
35: 278189/414720
36: 174089/276480
37: 243523/414720
38: 1804291/3317760
39: 1/2
40: 1513469/3317760
41: 171197/414720
42: 102391/276480
43: 136531/414720
44: 961577/3317760
45: 52367/207360
46: 722147/3317760
47: 76901/414720
48: 129409/829440
49: 53723/414720
50: 4343/40960
51: 8861/103680
52: 24979/368640
53: 21887/414720
54: 6689/165888
55: 4171/138240
56: 143/6480
57: 6527/414720
58: 12067/1105920
59: 1519/207360
60: 3931/829440
61: 203/69120
62: 287/165888
63: 199/207360
64: 1643/3317760
65: 97/414720
66: 41/414720
67: 1/27648
68: 1/92160
69: 1/414720
70: 1/3317760

Dice: [4, 6, 6, 12, 12, 12, 20]
7: 1/1
8: 4976639/4976640
9: 622079/622080
10: 138239/138240
11: 41471/41472
12: 4976311/4976640
13: 310991/311040
14: 2487481/2488320
15: 155417/155520
16: 1656869/1658880
17: 620779/622080
18: 2479783/2488320
19: 618727/622080
20: 4936049/4976640
21: 61465/62208
22: 489209/497664
23: 75929/77760
24: 4817993/4976640
25: 595801/622080
26: 117587/124416
27: 115703/124416
28: 756571/829440
29: 554591/622080
30: 539953/622080
31: 523501/622080
32: 404209/497664
33: 161767/207360
34: 123661/165888
35: 440693/622080
36: 1665517/2488320
37: 8689/13824
38: 243209/414720
39: 12521/23040
40: 1/2
41: 10519/23040
42: 171511/414720
43: 5135/13824
44: 822803/2488320
45: 181387/622080
46: 42227/165888
47: 45593/207360
48: 93455/497664
49: 98579/622080
50: 82127/622080
51: 67489/622080
52: 72869/829440
53: 8713/124416
54: 6829/124416
55: 26279/622080
56: 158647/4976640
57: 1831/77760
58: 8455/497664
59: 743/62208
60: 40591/4976640
61: 3353/622080
62: 8537/2488320
63: 1301/622080
64: 2011/1658880
65: 103/155520
66: 839/2488320
67: 49/311040
68: 329/4976640
69: 1/41472
70: 1/138240
71: 1/622080
72: 1/4976640

Dice: [6, 6, 6, 12, 12, 12, 20]
7: 1/1
8: 7464959/7464960
9: 933119/933120
10: 207359/207360
11: 62207/62208
12: 248821/248832
13: 103669/103680
14: 2487749/2488320
15: 155449/155520
16: 828737/829440
17: 186347/186624
18: 3723251/3732480
19: 103271/103680
20: 61831/62208
21: 308239/311040
22: 163733/165888
23: 25447/25920
24: 269561/276480
25: 100199/103680
26: 99103/103680
27: 32591/34560
28: 6925483/7464960
29: 84895/93312
30: 2212349/2488320
31: 269219/311040
32: 2088031/2488320
33: 31489/38880
34: 1935817/2488320
35: 231253/311040
36: 195389/276480
37: 15581/23328
38: 4683869/7464960
39: 12145/20736
40: 1351331/2488320
41: 1/2
42: 1136989/2488320
43: 8591/20736
44: 2781091/7464960
45: 7747/23328
46: 81091/276480
47: 79787/311040
48: 552503/2488320
49: 7391/38880
50: 400289/2488320
51: 41821/311040
52: 275971/2488320
53: 8417/93312
54: 539477/7464960
55: 1969/34560
56: 4577/103680
57: 3481/103680
58: 6919/276480
59: 473/25920
60: 2155/165888
61: 2801/311040
62: 377/62208
63: 409/103680
64: 9229/3732480
65: 277/186624
66: 703/829440
67: 71/155520
68: 571/2488320
69: 11/103680
70: 11/248832
71: 1/62208
72: 1/207360
73: 1/933120
74: 1/7464960

Dice: [4, 4, 8, 12, 12, 12, 20]
7: 1/1
8: 4423679/4423680
9: 552959/552960
10: 122879/122880
11: 36863/36864
12: 552919/552960
13: 552863/552960
14: 368503/368640
15: 184187/184320
16: 294527/294912
17: 34483/34560
18: 275479/276480
19: 2291/2304
20: 4386163/4423680
21: 546131/552960
22: 1086583/1105920
23: 59957/61440
24: 534953/552960
25: 529171/552960
26: 1044269/1105920
27: 102745/110592
28: 403075/442368
29: 54713/61440
30: 958801/1105920
31: 464783/552960
32: 3588709/4423680
33: 71813/92160
34: 102937/138240
35: 39133/55296
36: 591659/884736
37: 347309/552960
38: 216073/368640
39: 300419/552960
40: 1/2
41: 252541/552960
42: 152567/368640
43: 205651/552960
44: 293077/884736
45: 16163/55296
46: 35303/138240
47: 20347/92160
48: 834971/4423680
49: 88177/552960
50: 147119/1105920
51: 6727/61440
52: 39293/442368
53: 7847/110592
54: 61651/1105920
55: 23789/552960
56: 18007/552960
57: 1483/61440
58: 19337/1105920
59: 6829/552960
60: 37517/4423680
61: 13/2304
62: 1001/276480
63: 77/34560
64: 385/294912
65: 133/184320
66: 137/368640
67: 97/552960
68: 41/552960
69: 1/36864
70: 1/122880
71: 1/552960
72: 1/4423680

Dice: [4, 6, 8, 12, 12, 12, 20]
7: 1/1
8: 6635519/6635520
9: 829439/829440
10: 184319/184320
11: 55295/55296
12: 6635191/6635520
13: 414671/414720
14: 6633841/6635520
15: 829027/829440
16: 1657363/1658880
17: 165625/165888
18: 2206051/2211840
19: 206501/207360
20: 6593579/6635520
21: 164339/165888
22: 327329/331776
23: 813889/829440
24: 6465539/6635520
25: 400513/414720
26: 6337493/6635520
27: 781483/829440
28: 6149957/6635520
29: 75383/82944
30: 5893073/6635520
31: 143419/165888
32: 556159/663552
33: 223661/276480
34: 572923/737280
35: 25667/34560
36: 4684681/6635520
37: 61501/92160
38: 2080237/3317760
39: 485549/829440
40: 3602537/6635520
41: 1/2
42: 3032983/6635520
43: 343891/829440
44: 1237523/3317760
45: 30659/92160
46: 1950839/6635520
47: 8893/34560
48: 164357/737280
49: 52819/276480
50: 107393/663552
51: 22469/165888
52: 742447/6635520
53: 7561/82944
54: 485563/6635520
55: 47957/829440
56: 298027/6635520
57: 14207/414720
58: 169981/6635520
59: 15551/829440
60: 4447/331776
61: 1549/165888
62: 41941/6635520
63: 859/207360
64: 5789/2211840
65: 263/165888
66: 1517/1658880
67: 413/829440
68: 1679/6635520
69: 49/414720
70: 329/6635520
71: 1/55296
72: 1/184320
73: 1/829440
74: 1/6635520

Dice: [6, 6, 8, 12, 12, 12, 20]
7: 1/1
8: 9953279/9953280
9: 1244159/1244160
10: 276479/276480
11: 82943/82944
12: 331765/331776
13: 138229/138240
14: 4975783/4976640
15: 1243733/1244160
16: 4973459/4976640
17: 1242761/1244160
18: 155227/155520
19: 82693/82944
20: 309583/311040
21: 1235429/1244160
22: 1231457/1244160
23: 1226159/1244160
24: 4877021/4976640
25: 1210451/1244160
26: 959557/995328
27: 1185947/1244160
28: 9357419/9953280
29: 47933/51840
30: 70493/77760
31: 17219/19440
32: 2145379/2488320
33: 259973/311040
34: 4014727/4976640
35: 160699/207360
36: 204809/276480
37: 146051/207360
38: 122747/184320
39: 19469/31104
40: 2909677/4976640
41: 37501/69120
42: 1/2
43: 31619/69120
44: 2066963/4976640
45: 11635/31104
46: 61573/184320
47: 61309/207360
48: 71671/276480
49: 46661/207360
50: 961913/4976640
51: 51067/311040
52: 342941/2488320
53: 2221/19440
54: 7267/77760
55: 3907/51840
56: 595861/9953280
57: 58213/1244160
58: 35771/995328
59: 33709/1244160
60: 99619/4976640
61: 18001/1244160
62: 12703/1244160
63: 8731/1244160
64: 1457/311040
65: 251/82944
66: 293/155520
67: 1399/1244160
68: 3181/4976640
69: 427/1244160
70: 857/4976640
71: 11/138240
72: 11/331776
73: 1/82944
74: 1/276480
75: 1/1244160
76: 1/9953280

Dice: [4, 8, 8, 12, 12, 12, 20]
7: 1/1
8: 8847359/8847360
9: 1105919/1105920
10: 245759/245760
11: 73727/73728
12: 8847031/8847360
13: 552911/552960
14: 36857/36864
15: 61417/61440
16: 8841257/8847360
17: 368197/368640
18: 441485/442368
19: 122489/122880
20: 2201017/2211840
21: 365953/368640
22: 2188499/2211840
23: 363151/368640
24: 8665787/8847360
25: 19913/20480
26: 177571/184320
27: 526669/552960
28: 4155187/4423680
29: 255397/276480
30: 66769/73728
31: 244627/276480
32: 7619459/8847360
33: 61553/73728
34: 66011/81920
35: 285371/368640
36: 1636751/2211840
37: 778187/1105920
38: 294343/442368
39: 76861/122880
40: 1034027/1769472
41: 6665/12288
42: 1/2
43: 5623/12288
44: 735445/1769472
45: 46019/122880
46: 148025/442368
47: 327733/1105920
48: 575089/2211840
49: 83269/368640
50: 15909/81920
51: 12175/73728
52: 1227901/8847360
53: 31853/276480
54: 6959/73728
55: 21083/276480
56: 268493/4423680
57: 26291/552960
58: 6749/184320
59: 567/20480
60: 181573/8847360
61: 5489/368640
62: 23341/2211840
63: 2687/368640
64: 10823/2211840
65: 391/122880
66: 883/442368
67: 443/368640
68: 6103/8847360
69: 23/61440
70: 7/36864
71: 49/552960
72: 329/8847360
73: 1/73728
74: 1/245760
75: 1/1105920
76: 1/8847360

Dice: [6, 8, 8, 12, 12, 12, 20]
7: 1/1
8: 13271039/13271040
9: 1658879/1658880
10: 368639/368640
11: 110591/110592
12: 442357/442368
13: 184309/184320
14: 2653865/2654208
15: 414613/414720
16: 13264643/13271040
17: 184163/184320
18: 6625997/6635520
19: 551677/552960
20: 4407677/4423680
21: 27497/27648
22: 13164733/13271040
23: 546631/552960
24: 6529559/6635520
25: 540907/552960
26: 4294691/4423680
27: 398843/414720
28: 1576937/1658880
29: 194357/207360
30: 6115283/6635520
31: 249763/276480
32: 144587/163840
33: 1424813/1658880
34: 552469/663552
35: 1333103/1658880
36: 10246271/13271040
37: 102041/138240
38: 9316781/13271040
39: 1101557/1658880
40: 153467/245760
41: 107581/184320
42: 799273/1474560
43: 1/2
44: 675287/1474560
45: 76739/184320
46: 92293/245760
47: 557323/1658880
48: 3954259/13271040
49: 36199/138240
50: 3024769/13271040
51: 325777/1658880
52: 111083/663552
53: 234067/1658880
54: 19253/163840
55: 26717/276480
56: 520237/6635520
57: 13003/207360
58: 81943/1658880
59: 15877/414720
60: 128989/4423680
61: 12053/552960
62: 105961/6635520
63: 6329/552960
64: 106307/13271040
65: 151/27648
66: 16003/4423680
67: 1283/552960
68: 9523/6635520
69: 157/184320
70: 6397/13271040
71: 107/414720
72: 343/2654208
73: 11/184320
74: 11/442368
75: 1/110592
76: 1/368640
77: 1/1658880
78: 1/13271040

Dice: [8, 8, 8, 12, 12, 12, 20]
7: 1/1
8: 17694719/17694720
9: 2211839/2211840
10: 491519/491520
11: 147455/147456
12: 589813/589824
13: 245749/245760
14: 1474417/1474560
15: 737137/737280
16: 184253/184320
17: 2210413/2211840
18: 883769/884736
19: 245323/245760
20: 1176355/1179648
21: 73415/73728
22: 40703/40960
23: 365309/368640
24: 388219/393216
25: 724387/737280
26: 4319351/4423680
27: 2142791/2211840
28: 16976161/17694720
29: 209689/221184
30: 688987/737280
31: 338641/368640
32: 15929833/17694720
33: 1944883/2211840
34: 1261789/1474560
35: 1834621/2211840
36: 14166463/17694720
37: 850741/1105920
38: 813503/1105920
39: 257977/368640
40: 3905713/5898240
41: 1378037/2211840
42: 515527/884736
43: 133091/245760
44: 1/2
45: 112669/245760
46: 369209/884736
47: 833803/2211840
48: 1992527/5898240
49: 110663/368640
50: 292417/1105920
51: 255179/1105920
52: 3528257/17694720
53: 377219/2211840
54: 212771/1474560
55: 266957/2211840
56: 1764887/17694720
57: 29999/368640
58: 48293/737280
59: 11495/221184
60: 718559/17694720
61: 69049/2211840
62: 104329/4423680
63: 12893/737280
64: 4997/393216
65: 3331/368640
66: 257/40960
67: 313/73728
68: 3293/1179648
69: 437/245760
70: 967/884736
71: 1427/2211840
72: 67/184320
73: 143/737280
74: 143/1474560
75: 11/245760
76: 11/589824
77: 1/147456
78: 1/491520
79: 1/2211840
80: 1/17694720

Dice: [4, 4, 12, 12, 12, 12, 20]
7: 1/1
8: 6635519/6635520
9: 829439/829440
10: 184319/184320
11: 55295/55296
12: 829399/829440
13: 829343/829440
14: 552823/552960
15: 276347/276480
16: 414359/414720
17: 92023/92160
18: 1654867/1658880
19: 55087/55296
20: 1649419/1658880
21: 164503/165888
22: 1639141/1658880
23: 271903/276480
24: 3167/3240
25: 160903/165888
26: 531209/552960
27: 787469/829440
28: 6210521/6635520
29: 190801/207360
30: 748013/829440
31: 182663/207360
32: 2844281/3317760
33: 114877/138240
34: 66527/82944
35: 106531/138240
36: 611149/829440
37: 290671/414720
38: 137497/207360
39: 258673/414720
40: 322471/552960
41: 224693/414720
42: 1/2
43: 190027/414720
44: 230489/552960
45: 156047/414720
46: 69863/207360
47: 124049/414720
48: 218291/829440
49: 31709/138240
50: 16417/82944
51: 23363/138240
52: 473479/3317760
53: 24697/207360
54: 81427/829440
55: 16559/207360
56: 424999/6635520
57: 41971/829440
58: 21751/552960
59: 4985/165888
60: 73/3240
61: 4577/276480
62: 19739/1658880
63: 1385/165888
64: 9461/1658880
65: 209/55296
66: 4013/1658880
67: 137/92160
68: 361/414720
69: 133/276480
70: 137/552960
71: 97/829440
72: 41/829440
73: 1/55296
74: 1/184320
75: 1/829440
76: 1/6635520

Dice: [4, 6, 12, 12, 12, 12, 20]
7: 1/1
8: 9953279/9953280
9: 1244159/1244160
10: 276479/276480
11: 82943/82944
12: 9952951/9953280
13: 622031/622080
14: 9951601/9953280
15: 1243747/1244160
16: 3315737/3317760
17: 310711/311040
18: 3311959/3317760
19: 1240709/1244160
20: 9911011/9953280
21: 206053/207360
22: 9862697/9953280
23: 1228211/1244160
24: 9777559/9953280
25: 18977/19440
26: 9639529/9953280
27: 238633/248832
28: 2357879/2488320
29: 387341/414720
30: 9137617/9953280
31: 559651/622080
32: 3599/4096
33: 132977/155520
34: 38191/46080
35: 248821/311040
36: 3825329/4976640
37: 457253/622080
38: 3480299/4976640
39: 34307/51840
40: 206605/331776
41: 362353/622080
42: 2694583/4976640
43: 1/2
44: 2282057/4976640
45: 259727/622080
46: 125171/331776
47: 17533/51840
48: 1496341/4976640
49: 164827/622080
50: 1151311/4976640
51: 62219/311040
52: 7889/46080
53: 22543/155520
54: 497/4096
55: 62429/622080
56: 815663/9953280
57: 27379/414720
58: 130441/2488320
59: 10199/248832
60: 313751/9953280
61: 463/19440
62: 175721/9953280
63: 15949/1244160
64: 90583/9953280
65: 1307/207360
66: 42269/9953280
67: 3451/1244160
68: 5801/3317760
69: 329/311040
70: 2023/3317760
71: 413/1244160
72: 1679/9953280
73: 49/622080
74: 329/9953280
75: 1/82944
76: 1/276480
77: 1/1244160
78: 1/9953280

Dice: [6, 6, 12, 12, 12, 12, 20]
7: 1/1
8: 14929919/14929920
9: 1866239/1866240
10: 414719/414720
11: 124415/124416
12: 497653/497664
13: 207349/207360
14: 7464103/7464960
15: 1865813/1866240
16: 1658173/1658880
17: 46621/46656
18: 3727783/3732480
19: 3449/3456
20: 551221/552960
21: 22931/23040
22: 274567/276480
23: 1847827/1866240
24: 14724649/14929920
25: 20347/20736
26: 2369/2430
27: 300779/311040
28: 3573367/3732480
29: 882521/933120
30: 2319199/2488320
31: 71227/77760
32: 4466503/4976640
33: 545231/622080
34: 6366467/7464960
35: 1542709/1866240
36: 397085/497664
37: 1430897/1866240
38: 5473981/7464960
39: 434087/622080
40: 273929/414720
41: 386773/622080
42: 289549/497664
43: 201967/373248
44: 1/2
45: 171281/373248
46: 208115/497664
47: 235307/622080
48: 140791/414720
49: 187993/622080
50: 1990979/7464960
51: 435343/1866240
52: 100579/497664
53: 323531/1866240
54: 1098493/7464960
55: 76849/622080
56: 510137/4976640
57: 6533/77760
58: 169121/2488320
59: 50599/933120
60: 159113/3732480
61: 10261/311040
62: 61/2430
63: 389/20736
64: 205271/14929920
65: 18413/1866240
66: 1913/276480
67: 109/23040
68: 1739/552960
69: 7/3456
70: 4697/3732480
71: 35/46656
72: 707/1658880
73: 427/1866240
74: 857/7464960
75: 11/207360
76: 11/497664
77: 1/124416
78: 1/414720
79: 1/1866240
80: 1/14929920

Dice: [4, 8, 12, 12, 12, 12, 20]
7: 1/1
8: 13271039/13271040
9: 1658879/1658880
10: 368639/368640
11: 110591/110592
12: 13270711/13271040
13: 829391/829440
14: 55289/55296
15: 92137/92160
16: 1658117/1658880
17: 165755/165888
18: 414167/414720
19: 275891/276480
20: 220457/221184
21: 825361/829440
22: 411751/414720
23: 91223/92160
24: 3270923/3317760
25: 162703/165888
26: 3157/3240
27: 801589/829440
28: 4232179/4423680
29: 174191/184320
30: 3089653/3317760
31: 1518121/1658880
32: 3966361/4423680
33: 726233/829440
34: 1413283/1658880
35: 684919/829440
36: 587653/737280
37: 317651/414720
38: 202543/276480
39: 289133/414720
40: 2189711/3317760
41: 42947/69120
42: 241177/414720
43: 22435/41472
44: 1/2
45: 19037/41472
46: 173543/414720
47: 26173/69120
48: 1128049/3317760
49: 125587/414720
50: 73937/276480
51: 97069/414720
52: 149627/737280
53: 144521/829440
54: 245597/1658880
55: 103207/829440
56: 457319/4423680
57: 140759/1658880
58: 228107/3317760
59: 10129/184320
60: 191501/4423680
61: 27851/829440
62: 83/3240
63: 3185/165888
64: 46837/3317760
65: 937/92160
66: 2969/414720
67: 4079/829440
68: 727/221184
69: 589/276480
70: 553/414720
71: 133/165888
72: 763/1658880
73: 23/92160
74: 7/55296
75: 49/829440
76: 329/13271040
77: 1/110592
78: 1/368640
79: 1/1658880
80: 1/13271040

Dice: [6, 8, 12, 12, 12, 12, 20]
7: 1/1
8: 19906559/19906560
9: 2488319/2488320
10: 552959/552960
11: 165887/165888
12: 663541/663552
13: 276469/276480
14: 3980969/3981312
15: 621973/622080
16: 9950081/9953280
17: 1243453/1244160
18: 9943739/9953280
19: 103519/103680
20: 9929111/9953280
21: 1239581/1244160
22: 9899287/9953280
23: 61723/62208
24: 1968857/1990656
25: 1225423/1244160
26: 1083457/1105920
27: 18917/19440
28: 1280605/1327104
29: 2376551/2488320
30: 9388573/9953280
31: 2312467/2488320
32: 9088543/9953280
33: 2225839/2488320
34: 17386873/19906560
35: 4351/5120
36: 4099057/4976640
37: 989161/1244160
38: 7604927/9953280
39: 454663/622080
40: 1731101/2488320
41: 136601/207360
42: 343049/552960
43: 60227/103680
44: 1345283/2488320
45: 1/2
46: 1143037/2488320
47: 43453/103680
48: 209911/552960
49: 70759/207360
50: 757219/2488320
51: 167417/622080
52: 2348353/9953280
53: 254999/1244160
54: 877583/4976640
55: 769/5120
56: 2519687/19906560
57: 262481/2488320
58: 864737/9953280
59: 175853/2488320
60: 564707/9953280
61: 111769/2488320
62: 46499/1327104
63: 523/19440
64: 22463/1105920
65: 18737/1244160
66: 21799/1990656
67: 485/62208
68: 53993/9953280
69: 4579/1244160
70: 24169/9953280
71: 161/103680
72: 9541/9953280
73: 707/1244160
74: 3199/9953280
75: 107/622080
76: 343/3981312
77: 11/276480
78: 11/663552
79: 1/165888
80: 1/552960
81: 1/2488320
82: 1/19906560

Dice: [8, 8, 12, 12, 12, 12, 20]
7: 1/1
8: 26542079/26542080
9: 3317759/3317760
10: 737279/737280
11: 221183/221184
12: 884725/884736
13: 368629/368640
14: 2211697/2211840
15: 1105777/1105920
16: 26535647/26542080
17: 276361/276480
18: 1657669/1658880
19: 276151/276480
20: 6623089/6635520
21: 206767/207360
22: 137653/138240
23: 13739/13824
24: 3288889/3317760
25: 136573/138240
26: 271949/276480
27: 405649/414720
28: 25780229/26542080
29: 3194749/3317760
30: 6322421/6635520
31: 346811/368640
32: 409927/442368
33: 604037/663552
34: 1972073/2211840
35: 962653/1105920
36: 7492279/8847360
37: 90769/110592
38: 2628541/3317760
39: 252637/331776
40: 9668299/13271040
41: 575333/829440
42: 1089983/1658880
43: 171161/276480
44: 3848591/6635520
45: 112013/207360
46: 1/2
47: 95347/207360
48: 2786929/6635520
49: 105319/276480
50: 568897/1658880
51: 254107/829440
52: 3602741/13271040
53: 79139/331776
54: 689219/3317760
55: 19823/110592
56: 1355081/8847360
57: 143267/1105920
58: 239767/2211840
59: 59515/663552
60: 32441/442368
61: 21829/368640
62: 313099/6635520
63: 123011/3317760
64: 761851/26542080
65: 9071/414720
66: 4531/276480
67: 1667/138240
68: 28871/3317760
69: 85/13824
70: 587/138240
71: 593/207360
72: 12431/6635520
73: 329/276480
74: 1211/1658880
75: 119/276480
76: 6433/26542080
77: 143/1105920
78: 143/2211840
79: 11/368640
80: 11/884736
81: 1/221184
82: 1/737280
83: 1/3317760
84: 1/26542080

Dice: [4, 12, 12, 12, 12, 12, 20]
7: 1/1
8: 19906559/19906560
9: 2488319/2488320
10: 552959/552960
11: 165887/165888
12: 19906231/19906560
13: 1244111/1244160
14: 82937/82944
15: 138217/138240
16: 1326697/1327104
17: 2486989/2488320
18: 4972207/4976640
19: 828257/829440
20: 4965653/4976640
21: 496013/497664
22: 4952477/4976640
23: 164737/165888
24: 4928359/4976640
25: 2455237/2488320
26: 977527/995328
27: 2429483/2488320
28: 19294213/19906560
29: 1195117/1244160
30: 2364397/2488320
31: 233383/248832
32: 18385099/19906560
33: 752327/829440
34: 4420193/4976640
35: 2157307/2488320
36: 3357655/3981312
37: 42371/51840
38: 1963271/2488320
39: 117949/155520
40: 2407901/3317760
41: 19111/27648
42: 271663/414720
43: 768293/1244160
44: 1440589/2488320
45: 671411/1244160
46: 1/2
47: 572749/1244160
48: 1047731/2488320
49: 475867/1244160
50: 143057/414720
51: 8537/27648
52: 909859/3317760
53: 37571/155520
54: 525049/2488320
55: 9469/51840
56: 623657/3981312
57: 331013/2488320
58: 556447/4976640
59: 77113/829440
60: 1521461/19906560
61: 15449/248832
62: 123923/2488320
63: 49043/1244160
64: 612347/19906560
65: 58837/2488320
66: 17801/995328
67: 33083/2488320
68: 48281/4976640
69: 1151/165888
70: 24163/4976640
71: 1651/497664
72: 10987/4976640
73: 1183/829440
74: 4433/4976640
75: 1331/2488320
76: 407/1327104
77: 23/138240
78: 7/82944
79: 49/1244160
80: 329/19906560
81: 1/165888
82: 1/552960
83: 1/2488320
84: 1/19906560

Dice: [6, 12, 12, 12, 12, 12, 20]
7: 1/1
8: 29859839/29859840
9: 3732479/3732480
10: 829439/829440
11: 248831/248832
12: 995317/995328
13: 414709/414720
14: 5971625/5971968
15: 933013/933120
16: 368561/368640
17: 746213/746496
18: 14920361/14929920
19: 414289/414720
20: 29811173/29859840
21: 465403/466560
22: 661115/663552
23: 3712667/3732480
24: 29635781/29859840
25: 41041/41472
26: 9812701/9953280
27: 244139/248832
28: 14560043/14929920
29: 3612869/3732480
30: 28639843/29859840
31: 590113/622080
32: 1863643/1990656
33: 127421/138240
34: 13513201/14929920
35: 3307751/3732480
36: 269039/311040
37: 628069/746496
38: 24347471/29859840
39: 489659/622080
40: 11297189/14929920
41: 675757/933120
42: 114439/165888
43: 610183/933120
44: 9206461/14929920
45: 1079333/1866240
46: 2684149/4976640
47: 1/2
48: 2292491/4976640
49: 786907/1866240
50: 5723459/14929920
51: 322937/933120
52: 51449/165888
53: 257363/933120
54: 3632731/14929920
55: 132421/622080
56: 5512369/29859840
57: 118427/746496
58: 42001/311040
59: 424729/3732480
60: 1416719/14929920
61: 10819/138240
62: 127013/1990656
63: 31967/622080
64: 1219997/29859840
65: 119611/3732480
66: 369877/14929920
67: 4693/248832
68: 140579/9953280
69: 431/41472
70: 224059/29859840
71: 19813/3732480
72: 2437/663552
73: 1157/466560
74: 48667/29859840
75: 431/414720
76: 9559/14929920
77: 283/746496
78: 79/368640
79: 107/933120
80: 343/5971968
81: 11/414720
82: 11/995328
83: 1/248832
84: 1/829440
85: 1/3732480
86: 1/29859840

Dice: [8, 12, 12, 12, 12, 12, 20]
7: 1/1
8: 39813119/39813120
9: 4976639/4976640
10: 1105919/1105920
11: 331775/331776
12: 1327093/1327104
13: 552949/552960
14: 3317617/3317760
15: 1658737/1658880
16: 19903343/19906560
17: 4975211/4976640
18: 9948427/9953280
19: 1657559/1658880
20: 39763067/39813120
21: 2483527/2488320
22: 827057/829440
23: 825971/829440
24: 824501/829440
25: 2467651/2488320
26: 615007/622080
27: 2450269/2488320
28: 39007649/39813120
29: 1615157/1658880
30: 9616429/9953280
31: 176419/184320
32: 2354957/2488320
33: 929443/995328
34: 9148987/9953280
35: 4491137/4976640
36: 5862229/6635520
37: 1430263/1658880
38: 185483/221184
39: 4044491/4976640
40: 31235681/39813120
41: 625633/829440
42: 3593249/4976640
43: 342377/497664
44: 12986059/19906560
45: 765703/1244160
46: 479023/829440
47: 223507/414720
48: 1/2
49: 191213/414720
50: 350417/829440
51: 478457/1244160
52: 6920501/19906560
53: 155287/497664
54: 1383391/4976640
55: 203807/829440
56: 8577439/39813120
57: 932149/4976640
58: 35701/221184
59: 228617/1658880
60: 773291/6635520
61: 485503/4976640
62: 804293/9953280
63: 65885/995328
64: 133363/2488320
65: 7901/184320
66: 336851/9953280
67: 43723/1658880
68: 805471/39813120
69: 38051/2488320
70: 7073/622080
71: 20669/2488320
72: 4939/829440
73: 3469/829440
74: 2383/829440
75: 4793/2488320
76: 50053/39813120
77: 1321/1658880
78: 4853/9953280
79: 1429/4976640
80: 3217/19906560
81: 143/1658880
82: 143/3317760
83: 11/552960
84: 11/1327104
85: 1/331776
86: 1/1105920
87: 1/4976640
88: 1/39813120

Dice: [12, 12, 12, 12, 12, 12, 20]
7: 1/1
8: 59719679/59719680
9: 7464959/7464960
10: 1658879/1658880
11: 497663/497664
12: 1990645/1990656
13: 829429/829440
14: 4976497/4976640
15: 2488177/2488320
16: 1326961/1327104
17: 746353/746496
18: 7462529/7464960
19: 414499/414720
20: 368329/368640
21: 207091/207360
22: 206957/207360
23: 620311/622080
24: 19825501/19906560
25: 824699/829440
26: 14812319/14929920
27: 7385309/7464960
28: 58870261/59719680
29: 228923/233280
30: 2428151/2488320
31: 37679/38880
32: 1594243/1658880
33: 591871/622080
34: 2339437/2488320
35: 346031/373248
36: 54467587/59719680
37: 6681023/7464960
38: 13075529/14929920
39: 2126107/2488320
40: 275671/331776
41: 2003593/2488320
42: 3868897/4976640
43: 1860359/2488320
44: 42760393/59719680
45: 254831/373248
46: 4837409/7464960
47: 1142317/1866240
48: 5725661/9953280
49: 669091/1244160
50: 1/2
51: 575069/1244160
52: 4227619/9953280
53: 723923/1866240
54: 2627551/7464960
55: 118417/373248
56: 16959287/59719680
57: 627961/2488320
58: 1107743/4976640
59: 484727/2488320
60: 56105/331776
61: 362213/2488320
62: 1854391/14929920
63: 783937/7464960
64: 5252093/59719680
65: 27217/373248
66: 148883/2488320
67: 30209/622080
68: 64637/1658880
69: 1201/38880
70: 60169/2488320
71: 4357/233280
72: 849419/59719680
73: 79651/7464960
74: 117601/14929920
75: 4741/829440
76: 81059/19906560
77: 1769/622080
78: 403/207360
79: 269/207360
80: 311/368640
81: 221/414720
82: 2431/7464960
83: 143/746496
84: 143/1327104
85: 143/2488320
86: 143/4976640
87: 11/829440
88: 11/1990656
89: 1/497664
90: 1/1658880
91: 1/7464960
92: 1/59719680

Dice: [4, 4, 4, 4, 4, 20, 20]
7: 1/1
8: 409599/409600
9: 51199/51200
10: 102391/102400
11: 10237/10240
12: 16371/16384
13: 25553/25600
14: 797/800
15: 25423/25600
16: 80961/81920
17: 10051/10240
18: 99593/102400
19: 49217/51200
20: 388097/409600
21: 149/160
22: 73/80
23: 713/800
24: 347/400
25: 673/800
26: 13/16
27: 25/32
28: 153089/204800
29: 18209/25600
30: 34441/51200
31: 647/1024
32: 24129/40960
33: 279/512
34: 1/2
35: 233/512
36: 16831/40960
37: 377/1024
38: 16759/51200
39: 7391/25600
40: 51711/204800
41: 7/32
42: 3/16
43: 127/800
44: 53/400
45: 87/800
46: 7/80
47: 11/160
48: 21503/409600
49: 1983/51200
50: 2807/102400
51: 189/10240
52: 959/81920
53: 177/25600
54: 3/800
55: 47/25600
56: 13/16384
57: 3/10240
58: 9/102400
59: 1/51200
60: 1/409600

Dice: [4, 4, 4, 4, 6, 20, 20]
7: 1/1
8: 614399/614400
9: 76799/76800
10: 51197/51200
11: 5119/5120
12: 307037/307200
13: 15341/15360
14: 612829/614400
15: 4777/4800
16: 40621/40960
17: 3031/3072
18: 100321/102400
19: 74543/76800
20: 147337/153600
21: 24203/25600
22: 570881/614400
23: 437/480
24: 1067/1200
25: 2077/2400
26: 1007/1200
27: 389/480
28: 79787/102400
29: 1145/1536
30: 54473/76800
31: 25759/38400
32: 96803/153600
33: 301/512
34: 167203/307200
35: 1/2
36: 139997/307200
37: 211/512
38: 56797/153600
39: 12641/38400
40: 22327/76800
41: 391/1536
42: 22613/102400
43: 91/480
44: 193/1200
45: 323/2400
46: 133/1200
47: 43/480
48: 43519/614400
49: 1397/25600
50: 6263/153600
51: 2257/76800
52: 2079/102400
53: 41/3072
54: 339/40960
55: 23/4800
56: 1571/614400
57: 19/15360
58: 163/307200
59: 1/5120
60: 3/51200
61: 1/76800
62: 1/614400

Dice: [4, 4, 4, 6, 6, 20, 20]
7: 1/1
8: 921599/921600
9: 115199/115200
10: 25599/25600
11: 7679/7680
12: 307091/307200
13: 1199/1200
14: 459997/460800
15: 57409/57600
16: 1193/1200
17: 57047/57600
18: 453923/460800
19: 2347/2400
20: 297581/307200
21: 36757/38400
22: 72451/76800
23: 106801/115200
24: 837121/921600
25: 2129/2400
26: 259/300
27: 2009/2400
28: 372481/460800
29: 44761/57600
30: 28547/38400
31: 4527/6400
32: 6851/10240
33: 503/800
34: 135203/230400
35: 15659/28800
36: 1/2
37: 13141/28800
38: 95197/230400
39: 297/800
40: 3389/10240
41: 1873/6400
42: 9853/38400
43: 12839/57600
44: 88319/460800
45: 391/2400
46: 41/300
47: 271/2400
48: 84479/921600
49: 8399/115200
50: 4349/76800
51: 1643/38400
52: 9619/307200
53: 53/2400
54: 6877/460800
55: 553/57600
56: 7/1200
57: 191/57600
58: 803/460800
59: 1/1200
60: 109/307200
61: 1/7680
62: 1/25600
63: 1/115200
64: 1/921600

Dice: [4, 4, 6, 6, 6, 20, 20]
7: 1/1
8: 1382399/1382400
9: 172799/172800
10: 38399/38400
11: 11519/11520
12: 172759/172800
13: 172703/172800
14: 460253/460800
15: 4789/4800
16: 344183/345600
17: 1589/1600
18: 341833/345600
19: 4721/4800
20: 449827/460800
21: 33413/34560
22: 33013/34560
23: 54221/57600
24: 35521/38400
25: 156601/172800
26: 48937/55296
27: 689/800
28: 577153/691200
29: 69661/86400
30: 14881/19200
31: 21353/28800
32: 60953/86400
33: 57661/86400
34: 144547/230400
35: 703/1200
36: 18773/34560
37: 1/2
38: 15787/34560
39: 497/1200
40: 85853/230400
41: 28739/86400
42: 25447/86400
43: 7447/28800
44: 4319/19200
45: 16739/86400
46: 114047/691200
47: 111/800
48: 6359/55296
49: 16199/172800
50: 2879/38400
51: 3379/57600
52: 1547/34560
53: 1147/34560
54: 10973/460800
55: 79/4800
56: 3767/345600
57: 11/1600
58: 1417/345600
59: 11/4800
60: 547/460800
61: 97/172800
62: 41/172800
63: 1/11520
64: 1/38400
65: 1/172800
66: 1/1382400

Dice: [4, 6, 6, 6, 6, 20, 20]
7: 1/1
8: 2073599/2073600
9: 259199/259200
10: 57599/57600
11: 17279/17280
12: 2073271/2073600
13: 129551/129600
14: 517981/518400
15: 25879/25920
16: 689213/691200
17: 257929/259200
18: 2381/2400
19: 256043/259200
20: 678787/691200
21: 25259/25920
22: 500243/518400
23: 123547/129600
24: 389557/414720
25: 15949/17280
26: 52081/57600
27: 228853/259200
28: 593857/691200
29: 107947/129600
30: 23161/28800
31: 6679/8640
32: 766697/1036800
33: 22799/32400
34: 172571/259200
35: 4057/6480
36: 202147/345600
37: 70337/129600
38: 1/2
39: 59263/129600
40: 143453/345600
41: 2423/6480
42: 86629/259200
43: 9601/32400
44: 270103/1036800
45: 1961/8640
46: 5639/28800
47: 21653/129600
48: 97343/691200
49: 30347/259200
50: 5519/57600
51: 1331/17280
52: 25163/414720
53: 6053/129600
54: 18157/518400
55: 661/25920
56: 12413/691200
57: 3157/259200
58: 19/2400
59: 1271/259200
60: 1987/691200
61: 41/25920
62: 419/518400
63: 49/129600
64: 329/2073600
65: 1/17280
66: 1/57600
67: 1/259200
68: 1/2073600

Dice: [6, 6, 6, 6, 6, 20, 20]
7: 1/1
8: 3110399/3110400
9: 388799/388800
10: 86399/86400
11: 25919/25920
12: 103669/103680
13: 43189/43200
14: 3108689/3110400
15: 48547/48600
16: 68981/69120
17: 77489/77760
18: 1546301/1555200
19: 4757/4800
20: 1534291/1555200
21: 76249/77760
22: 67243/69120
23: 187241/194400
24: 2959183/3110400
25: 40493/43200
26: 95483/103680
27: 23383/25920
28: 1369891/1555200
29: 111079/129600
30: 2584297/3110400
31: 2599/3240
32: 39971/51840
33: 3983/5400
34: 1091647/1555200
35: 129133/194400
36: 4319/6912
37: 5677/9720
38: 16867/31104
39: 1/2
40: 14237/31104
41: 4043/9720
42: 2593/6912
43: 65267/194400
44: 463553/1555200
45: 1417/5400
46: 11869/51840
47: 641/3240
48: 526103/3110400
49: 18521/129600
50: 185309/1555200
51: 2537/25920
52: 8197/103680
53: 2707/43200
54: 151217/3110400
55: 7159/194400
56: 1877/69120
57: 1511/77760
58: 20909/1555200
59: 43/4800
60: 8899/1555200
61: 271/77760
62: 139/69120
63: 53/48600
64: 1711/3110400
65: 11/43200
66: 11/103680
67: 1/25920
68: 1/86400
69: 1/388800
70: 1/3110400

Dice: [4, 4, 4, 4, 8, 20, 20]
7: 1/1
8: 819199/819200
9: 102399/102400
10: 204791/204800
11: 20477/20480
12: 409437/409600
13: 20461/20480
14: 204407/204800
15: 102031/102400
16: 159/160
17: 101361/102400
18: 201609/204800
19: 100063/102400
20: 396451/409600
21: 19587/20480
22: 193033/204800
23: 94849/102400
24: 29737/32768
25: 709/800
26: 69/80
27: 669/800
28: 330753/409600
29: 7949/10240
30: 76041/102400
31: 1447/2048
32: 136867/204800
33: 32159/51200
34: 60041/102400
35: 1113/2048
36: 1/2
37: 935/2048
38: 42359/102400
39: 19041/51200
40: 67933/204800
41: 601/2048
42: 26359/102400
43: 2291/10240
44: 78847/409600
45: 131/800
46: 11/80
47: 91/800
48: 3031/32768
49: 7551/102400
50: 11767/204800
51: 893/20480
52: 13149/409600
53: 2337/102400
54: 3191/204800
55: 1039/102400
56: 1/160
57: 369/102400
58: 393/204800
59: 19/20480
60: 163/409600
61: 3/20480
62: 9/204800
63: 1/102400
64: 1/819200

Dice: [4, 4, 4, 6, 8, 20, 20]
7: 1/1
8: 1228799/1228800
9: 153599/153600
10: 102397/102400
11: 10239/10240
12: 409491/409600
13: 1599/1600
14: 1227193/1228800
15: 153217/153600
16: 1223389/1228800
17: 953/960
18: 242951/245760
19: 2013/2048
20: 1198663/1228800
21: 4637/4800
22: 1172807/1228800
23: 144463/153600
24: 283913/307200
25: 139073/153600
26: 72431/81920
27: 413/480
28: 512513/614400
29: 20619/25600
30: 118921/153600
31: 56879/76800
32: 432967/614400
33: 2/3
34: 25673/40960
35: 44959/76800
36: 111201/204800
37: 1/2
38: 93599/204800
39: 31841/76800
40: 15287/40960
41: 1/3
42: 181433/614400
43: 19921/76800
44: 34679/153600
45: 4981/25600
46: 101887/614400
47: 67/480
48: 9489/81920
49: 14527/153600
50: 23287/307200
51: 9137/153600
52: 55993/1228800
53: 163/4800
54: 30137/1228800
55: 35/2048
56: 2809/245760
57: 7/960
58: 5411/1228800
59: 383/153600
60: 1607/1228800
61: 1/1600
62: 109/409600
63: 1/10240
64: 3/102400
65: 1/153600
66: 1/1228800

Dice: [4, 4, 6, 6, 8, 20, 20]
7: 1/1
8: 1843199/1843200
9: 230399/230400
10: 51199/51200
11: 15359/15360
12: 230359/230400
13: 230303/230400
14: 920779/921600
15: 230003/230400
16: 612499/614400
17: 114599/115200
18: 119/120
19: 113737/115200
20: 602989/614400
21: 44873/46080
22: 888629/921600
23: 219457/230400
24: 216233/230400
25: 23607/25600
26: 27751/30720
27: 203233/230400
28: 175787/204800
29: 95857/115200
30: 61699/76800
31: 29653/38400
32: 85097/115200
33: 80977/115200
34: 61297/92160
35: 72061/115200
36: 11971/20480
37: 31249/57600
38: 1/2
39: 26351/57600
40: 8509/20480
41: 43139/115200
42: 30863/92160
43: 34223/115200
44: 30103/115200
45: 8747/38400
46: 15101/76800
47: 19343/115200
48: 29013/204800
49: 27167/230400
50: 2969/30720
51: 1993/25600
52: 14167/230400
53: 10943/230400
54: 32971/921600
55: 1207/46080
56: 11411/614400
57: 1463/115200
58: 1/120
59: 601/115200
60: 1901/614400
61: 397/230400
62: 821/921600
63: 97/230400
64: 41/230400
65: 1/15360
66: 1/51200
67: 1/230400
68: 1/1843200

Dice: [4, 6, 6, 6, 8, 20, 20]
7: 1/1
8: 2764799/2764800
9: 345599/345600
10: 76799/76800
11: 23039/23040
12: 2764471/2764800
13: 172751/172800
14: 921041/921600
15: 115063/115200
16: 689701/691200
17: 68863/69120
18: 2748091/2764800
19: 317/320
20: 2726213/2764800
21: 338677/345600
22: 671963/691200
23: 110873/115200
24: 876079/921600
25: 161833/172800
26: 508789/552960
27: 103829/115200
28: 1216531/1382400
29: 98641/115200
30: 2294857/2764800
31: 46157/57600
32: 1064777/1382400
33: 63661/86400
34: 323119/460800
35: 1529/2304
36: 215771/345600
37: 100861/172800
38: 749381/1382400
39: 1/2
40: 633019/1382400
41: 71939/172800
42: 129829/345600
43: 775/2304
44: 137681/460800
45: 22739/86400
46: 317623/1382400
47: 11443/57600
48: 469943/2764800
49: 16559/115200
50: 165869/1382400
51: 11371/115200
52: 44171/552960
53: 10967/172800
54: 45521/921600
55: 4327/115200
56: 19237/691200
57: 6923/345600
58: 38587/2764800
59: 3/320
60: 16709/2764800
61: 257/69120
62: 1499/691200
63: 137/115200
64: 559/921600
65: 49/172800
66: 329/2764800
67: 1/23040
68: 1/76800
69: 1/345600
70: 1/2764800

Dice: [6, 6, 6, 6, 8, 20, 20]
7: 1/1
8: 4147199/4147200
9: 518399/518400
10: 115199/115200
11: 34559/34560
12: 138229/138240
13: 57589/57600
14: 259093/259200
15: 20719/20736
16: 414091/414720
17: 517031/518400
18: 1032277/1036800
19: 171611/172800
20: 95/96
21: 170173/172800
22: 1014539/1036800
23: 503137/518400
24: 1992073/2073600
25: 19673/20736
26: 242243/259200
27: 52883/57600
28: 932339/1036800
29: 455129/518400
30: 32801/38400
31: 429223/518400
32: 662993/829440
33: 22127/28800
34: 19051/25920
35: 7253/10368
36: 686569/1036800
37: 161533/259200
38: 302171/518400
39: 46801/86400
40: 1/2
41: 39599/86400
42: 216229/518400
43: 97667/259200
44: 350231/1036800
45: 3115/10368
46: 6869/25920
47: 6673/28800
48: 166447/829440
49: 89177/518400
50: 5599/38400
51: 63271/518400
52: 104461/1036800
53: 4717/57600
54: 16957/259200
55: 1063/20736
56: 81527/2073600
57: 15263/518400
58: 22261/1036800
59: 2627/172800
60: 1/96
61: 1189/172800
62: 4523/1036800
63: 1369/518400
64: 629/414720
65: 17/20736
66: 107/259200
67: 11/57600
68: 11/138240
69: 1/34560
70: 1/115200
71: 1/518400
72: 1/4147200

Dice: [4, 4, 4, 8, 8, 20, 20]
7: 1/1
8: 1638399/1638400
9: 204799/204800
10: 409591/409600
11: 40957/40960
12: 1638073/1638400
13: 6397/6400
14: 204599/204800
15: 1597/1600
16: 816477/819200
17: 101833/102400
18: 793/800
19: 101047/102400
20: 803491/819200
21: 1557/1600
22: 197321/204800
23: 6091/6400
24: 1536327/1638400
25: 188687/204800
26: 369673/409600
27: 180481/204800
28: 1404931/1638400
29: 85121/102400
30: 164361/204800
31: 78991/102400
32: 604487/819200
33: 2247/3200
34: 68041/102400
35: 5/8
36: 239267/409600
37: 27767/51200
38: 1/2
39: 23433/51200
40: 170333/409600
41: 3/8
42: 34359/102400
43: 953/3200
44: 214713/819200
45: 23409/102400
46: 40439/204800
47: 17279/102400
48: 233469/1638400
49: 24319/204800
50: 39927/409600
51: 16113/204800
52: 102073/1638400
53: 309/6400
54: 7479/204800
55: 43/1600
56: 15709/819200
57: 1353/102400
58: 7/800
59: 567/102400
60: 2723/819200
61: 3/1600
62: 201/204800
63: 3/6400
64: 327/1638400
65: 3/40960
66: 9/409600
67: 1/204800
68: 1/1638400

Dice: [4, 4, 6, 8, 8, 20, 20]
7: 1/1
8: 2457599/2457600
9: 307199/307200
10: 204797/204800
11: 20479/20480
12: 307159/307200
13: 307103/307200
14: 2455957/2457600
15: 153401/153600
16: 1225931/1228800
17: 4781/4800
18: 610487/614400
19: 4753/4800
20: 605513/614400
21: 1567/1600
22: 397927/409600
23: 147719/153600
24: 155621/163840
25: 95819/102400
26: 282409/307200
27: 276623/307200
28: 360113/409600
29: 262787/307200
30: 2037833/2457600
31: 122959/153600
32: 7879/10240
33: 113057/153600
34: 860779/1228800
35: 16973/25600
36: 76657/122880
37: 7/12
38: 55491/102400
39: 1/2
40: 46909/102400
41: 5/12
42: 46223/122880
43: 8627/25600
44: 368021/1228800
45: 40543/153600
46: 2361/10240
47: 30641/153600
48: 419767/2457600
49: 44413/307200
50: 49487/409600
51: 30577/307200
52: 24791/307200
53: 6581/102400
54: 8219/163840
55: 5881/153600
56: 11673/409600
57: 33/1600
58: 8887/614400
59: 47/4800
60: 3913/614400
61: 19/4800
62: 2869/1228800
63: 199/153600
64: 1643/2457600
65: 97/307200
66: 41/307200
67: 1/20480
68: 3/204800
69: 1/307200
70: 1/2457600

Dice: [4, 6, 6, 8, 8, 20, 20]
7: 1/1
8: 3686399/3686400
9: 460799/460800
10: 102399/102400
11: 30719/30720
12: 3686071/3686400
13: 230351/230400
14: 1842361/1843200
15: 115097/115200
16: 3680369/3686400
17: 153167/153600
18: 1834699/1843200
19: 457477/460800
20: 1187/1200
21: 453563/460800
22: 1802549/1843200
23: 49659/51200
24: 3538831/3686400
25: 109207/115200
26: 1721159/1843200
27: 42269/46080
28: 3311947/3686400
29: 404177/460800
30: 262153/307200
31: 381151/460800
32: 588727/737280
33: 88417/115200
34: 676679/921600
35: 8051/11520
36: 1219471/1843200
37: 1913/3072
38: 107377/184320
39: 124763/230400
40: 1/2
41: 105637/230400
42: 76943/184320
43: 1159/3072
44: 623729/1843200
45: 3469/11520
46: 244921/921600
47: 26783/115200
48: 148553/737280
49: 79649/460800
50: 45047/307200
51: 56623/460800
52: 374453/3686400
53: 3811/46080
54: 122041/1843200
55: 5993/115200
56: 147569/3686400
57: 1541/51200
58: 40651/1843200
59: 7237/460800
60: 13/1200
61: 3323/460800
62: 8501/1843200
63: 433/153600
64: 6031/3686400
65: 103/115200
66: 839/1843200
67: 49/230400
68: 329/3686400
69: 1/30720
70: 1/102400
71: 1/460800
72: 1/3686400

Dice: [6, 6, 6, 8, 8, 20, 20]
7: 1/1
8: 5529599/5529600
9: 691199/691200
10: 153599/153600
11: 46079/46080
12: 184309/184320
13: 76789/76800
14: 1842629/1843200
15: 115129/115200
16: 220931/221184
17: 229939/230400
18: 2755607/2764800
19: 229183/230400
20: 1828339/1843200
21: 1581/1600
22: 1811981/1843200
23: 224993/230400
24: 107089/110592
25: 220781/230400
26: 5231797/5529600
27: 107351/115200
28: 5061299/5529600
29: 619589/691200
30: 806467/921600
31: 65381/76800
32: 190109/230400
33: 550567/691200
34: 4233571/5529600
35: 42191/57600
36: 1927861/2764800
37: 76061/115200
38: 859369/1382400
39: 2681/4608
40: 498701/921600
41: 1/2
42: 422899/921600
43: 1927/4608
44: 523031/1382400
45: 39139/115200
46: 836939/2764800
47: 15409/57600
48: 1296029/5529600
49: 140633/691200
50: 40291/230400
51: 11419/76800
52: 115133/921600
53: 71611/691200
54: 468301/5529600
55: 7849/115200
56: 297803/5529600
57: 9619/230400
58: 3503/110592
59: 5407/230400
60: 31219/1843200
61: 19/1600
62: 14861/1843200
63: 1217/230400
64: 9193/2764800
65: 461/230400
66: 253/221184
67: 71/115200
68: 571/1843200
69: 11/76800
70: 11/184320
71: 1/46080
72: 1/153600
73: 1/691200
74: 1/5529600

Dice: [4, 4, 8, 8, 8, 20, 20]
7: 1/1
8: 3276799/3276800
9: 409599/409600
10: 819191/819200
11: 81917/81920
12: 409559/409600
13: 409503/409600
14: 818789/819200
15: 409201/409600
16: 3271027/3276800
17: 40837/40960
18: 407607/409600
19: 40651/40960
20: 791/800
21: 201481/204800
22: 400329/409600
23: 198503/204800
24: 3143309/3276800
25: 387983/409600
26: 152863/163840
27: 375393/409600
28: 1470629/1638400
29: 358929/409600
30: 139679/163840
31: 338463/409600
32: 522781/655360
33: 6281/8192
34: 300443/409600
35: 142991/204800
36: 1083021/1638400
37: 63719/102400
38: 119241/204800
39: 55433/102400
40: 1/2
41: 46967/102400
42: 85559/204800
43: 38681/102400
44: 555379/1638400
45: 61809/204800
46: 109157/409600
47: 1911/8192
48: 132579/655360
49: 71137/409600
50: 24161/163840
51: 50671/409600
52: 167771/1638400
53: 34207/409600
54: 10977/163840
55: 21617/409600
56: 133491/3276800
57: 6297/204800
58: 9271/409600
59: 3319/204800
60: 9/800
61: 309/40960
62: 1993/409600
63: 123/40960
64: 5773/3276800
65: 399/409600
66: 411/819200
67: 97/409600
68: 41/409600
69: 3/81920
70: 9/819200
71: 1/409600
72: 1/3276800

Dice: [4, 6, 8, 8, 8, 20, 20]
7: 1/1
8: 4915199/4915200
9: 614399/614400
10: 409597/409600
11: 40959/40960
12: 4914871/4915200
13: 307151/307200
14: 4913521/4915200
15: 613987/614400
16: 818189/819200
17: 613087/614400
18: 326527/327680
19: 305497/307200
20: 812319/819200
21: 4741/4800
22: 482951/491520
23: 59963/61440
24: 4756367/4915200
25: 196107/204800
26: 2323417/2457600
27: 190687/204800
28: 1498331/1638400
29: 137561/153600
30: 859421/983040
31: 522541/614400
32: 675273/819200
33: 162967/204800
34: 3759391/4915200
35: 224797/307200
36: 34241/49152
37: 202657/307200
38: 1526671/2457600
39: 29773/51200
40: 664739/1228800
41: 1/2
42: 564061/1228800
43: 21427/51200
44: 930929/2457600
45: 104543/307200
46: 14911/49152
47: 82403/307200
48: 1155809/4915200
49: 41833/204800
50: 143927/819200
51: 91859/614400
52: 123619/983040
53: 16039/153600
54: 140069/1638400
55: 14113/204800
56: 134183/2457600
57: 8693/204800
58: 158833/4915200
59: 1477/61440
60: 8569/491520
61: 59/4800
62: 6881/819200
63: 1703/307200
64: 1153/327680
65: 1313/614400
66: 1011/819200
67: 413/614400
68: 1679/4915200
69: 49/307200
70: 329/4915200
71: 1/40960
72: 3/409600
73: 1/614400
74: 1/4915200

Dice: [6, 6, 8, 8, 8, 20, 20]
7: 1/1
8: 7372799/7372800
9: 921599/921600
10: 204799/204800
11: 61439/61440
12: 245749/245760
13: 102389/102400
14: 3685543/3686400
15: 921173/921600
16: 61387/61440
17: 920203/921600
18: 183853/184320
19: 20397/20480
20: 7326833/7372800
21: 114133/115200
22: 74/75
23: 113051/115200
24: 1437059/1474560
25: 296797/307200
26: 880927/921600
27: 869621/921600
28: 3425389/3686400
29: 18689/20480
30: 3294077/3686400
31: 267947/307200
32: 1042597/1228800
33: 16841/20480
34: 731569/921600
35: 234397/307200
36: 5382577/7372800
37: 320309/460800
38: 303391/460800
39: 95261/153600
40: 2141071/3686400
41: 31139/57600
42: 1/2
43: 26461/57600
44: 1545329/3686400
45: 58339/153600
46: 157409/460800
47: 140491/460800
48: 1990223/7372800
49: 72803/307200
50: 190031/921600
51: 3639/20480
52: 186203/1228800
53: 39253/307200
54: 392323/3686400
55: 1791/20480
56: 261011/3686400
57: 51979/921600
58: 40673/921600
59: 10403/307200
60: 37501/1474560
61: 2149/115200
62: 1/75
63: 1067/115200
64: 45967/7372800
65: 83/20480
66: 467/184320
67: 1397/921600
68: 53/61440
69: 427/921600
70: 857/3686400
71: 11/102400
72: 11/245760
73: 1/61440
74: 1/204800
75: 1/921600
76: 1/7372800

Dice: [4, 8, 8, 8, 8, 20, 20]
7: 1/1
8: 6553599/6553600
9: 819199/819200
10: 1638391/1638400
11: 163837/163840
12: 6553271/6553600
13: 409551/409600
14: 81899/81920
15: 409393/409600
16: 6547499/6553600
17: 817873/819200
18: 1634003/1638400
19: 815711/819200
20: 6510963/6553600
21: 202833/204800
22: 789/800
23: 200879/204800
24: 1276649/1310720
25: 158189/163840
26: 1564973/1638400
27: 772399/819200
28: 6084567/6553600
29: 23341/25600
30: 146271/163840
31: 5577/6400
32: 5555163/6553600
33: 672979/819200
34: 1299281/1638400
35: 124889/163840
36: 4779947/6553600
37: 284463/409600
38: 21557/32768
39: 253857/409600
40: 1902221/3276800
41: 55343/102400
42: 1/2
43: 47057/102400
44: 1374579/3276800
45: 155743/409600
46: 11211/32768
47: 125137/409600
48: 1773653/6553600
49: 38951/163840
50: 339119/1638400
51: 146221/819200
52: 998437/6553600
53: 823/6400
54: 17569/163840
55: 2259/25600
56: 469033/6553600
57: 46801/819200
58: 73427/1638400
59: 5651/163840
60: 34071/1310720
61: 3921/204800
62: 11/800
63: 1967/204800
64: 42637/6553600
65: 3489/819200
66: 4397/1638400
67: 1327/819200
68: 6101/6553600
69: 207/409600
70: 21/81920
71: 49/409600
72: 329/6553600
73: 3/163840
74: 9/1638400
75: 1/819200
76: 1/6553600

Dice: [6, 8, 8, 8, 8, 20, 20]
7: 1/1
8: 9830399/9830400
9: 1228799/1228800
10: 819197/819200
11: 81919/81920
12: 327669/327680
13: 409567/409600
14: 1965737/1966080
15: 307093/307200
16: 1964801/1966080
17: 1227389/1228800
18: 4905713/4915200
19: 408327/409600
20: 407627/409600
21: 81329/81920
22: 1945483/1966080
23: 4729/4800
24: 9630281/9830400
25: 1195169/1228800
26: 1184543/1228800
27: 1171691/1228800
28: 57821/61440
29: 227713/245760
30: 2981313/3276800
31: 547301/614400
32: 2848877/3276800
33: 207829/245760
34: 503531/614400
35: 64809/81920
36: 3737869/4915200
37: 178843/245760
38: 2270911/3276800
39: 80687/122880
40: 380191/614400
41: 356257/614400
42: 884931/1638400
43: 1/2
44: 753469/1638400
45: 258143/614400
46: 234209/614400
47: 42193/122880
48: 1005889/3276800
49: 66917/245760
50: 1177331/4915200
51: 17111/81920
52: 110869/614400
53: 37931/245760
54: 427923/3276800
55: 67099/614400
56: 295487/3276800
57: 18047/245760
58: 3619/61440
59: 57109/1228800
60: 44257/1228800
61: 33631/1228800
62: 200119/9830400
63: 71/4800
64: 20597/1966080
65: 591/81920
66: 1973/409600
67: 1273/409600
68: 9487/4915200
69: 1411/1228800
70: 1279/1966080
71: 107/307200
72: 343/1966080
73: 33/409600
74: 11/327680
75: 1/81920
76: 3/819200
77: 1/1228800
78: 1/9830400

Dice: [8, 8, 8, 8, 8, 20, 20]
7: 1/1
8: 13107199/13107200
9: 1638399/1638400
10: 3276791/3276800
11: 327677/327680
12: 1310687/1310720
13: 1638301/1638400
14: 3276371/3276800
15: 1637971/1638400
16: 1310077/1310720
17: 65479/65536
18: 3271983/3276800
19: 1634497/1638400
20: 6529231/6553600
21: 325841/327680
22: 129995/131072
23: 1619227/1638400
24: 787/800
25: 1602277/1638400
26: 636169/655360
27: 315183/327680
28: 3116953/3276800
29: 1537857/1638400
30: 3027683/3276800
31: 297251/327680
32: 1163973/1310720
33: 1419891/1638400
34: 2761991/3276800
35: 1338301/1638400
36: 1033511/1310720
37: 248381/327680
38: 2377131/3276800
39: 1132159/1638400
40: 8584389/13107200
41: 101167/163840
42: 37941/65536
43: 88417/163840
44: 1/2
45: 75423/163840
46: 27595/65536
47: 62673/163840
48: 4522811/13107200
49: 506241/1638400
50: 899669/3276800
51: 79299/327680
52: 277209/1310720
53: 300099/1638400
54: 514809/3276800
55: 218509/1638400
56: 146747/1310720
57: 30429/327680
58: 249117/3276800
59: 100543/1638400
60: 159847/3276800
61: 12497/327680
62: 19191/655360
63: 36123/1638400
64: 13/800
65: 19173/1638400
66: 1077/131072
67: 1839/327680
68: 24369/6553600
69: 3903/1638400
70: 4817/3276800
71: 57/65536
72: 643/1310720
73: 429/1638400
74: 429/3276800
75: 99/1638400
76: 33/1310720
77: 3/327680
78: 9/3276800
79: 1/1638400
80: 1/13107200

Dice: [4, 4, 4, 4, 12, 20, 20]
7: 1/1
8: 1228799/1228800
9: 153599/153600
10: 102397/102400
11: 10239/10240
12: 614237/614400
13: 30701/30720
14: 102269/102400
15: 51077/51200
16: 407893/409600
17: 1907/1920
18: 95/96
19: 3151/3200
20: 1202177/1228800
21: 149041/153600
22: 295049/307200
23: 9713/10240
24: 114823/122880
25: 141007/153600
26: 276233/307200
27: 134849/153600
28: 1049603/1228800
29: 4239/5120
30: 122761/153600
31: 58991/76800
32: 75233/102400
33: 10739/15360
34: 101641/153600
35: 1913/3072
36: 357889/614400
37: 2599/4800
38: 1/2
39: 2201/4800
40: 256511/614400
41: 1159/3072
42: 51959/153600
43: 4621/15360
44: 27167/102400
45: 17809/76800
46: 30839/153600
47: 881/5120
48: 179197/1228800
49: 18751/153600
50: 30967/307200
51: 12593/153600
52: 8057/122880
53: 527/10240
54: 12151/307200
55: 4559/153600
56: 26623/1228800
57: 49/3200
58: 1/96
59: 13/1920
60: 1707/409600
61: 123/51200
62: 131/102400
63: 19/30720
64: 163/614400
65: 1/10240
66: 3/102400
67: 1/153600
68: 1/1228800

Dice: [4, 4, 4, 6, 12, 20, 20]
7: 1/1
8: 1843199/1843200
9: 230399/230400
10: 51199/51200
11: 15359/15360
12: 614291/614400
13: 2399/2400
14: 1841593/1843200
15: 230017/230400
16: 153149/153600
17: 229279/230400
18: 1829119/1843200
19: 949/960
20: 1812737/1843200
21: 225089/230400
22: 49601/51200
23: 44179/46080
24: 1744967/1843200
25: 373/400
26: 187599/204800
27: 22967/25600
28: 807187/921600
29: 65441/76800
30: 1522249/1843200
31: 30613/38400
32: 235373/307200
33: 1759/2400
34: 642887/921600
35: 76079/115200
36: 47747/76800
37: 2681/4608
38: 498689/921600
39: 1/2
40: 422911/921600
41: 1927/4608
42: 29053/76800
43: 39121/115200
44: 278713/921600
45: 641/2400
46: 71827/307200
47: 7787/38400
48: 320951/1843200
49: 11359/76800
50: 114413/921600
51: 2633/25600
52: 17201/204800
53: 27/400
54: 98233/1843200
55: 1901/46080
56: 1599/51200
57: 5311/230400
58: 30463/1843200
59: 11/960
60: 14081/1843200
61: 1121/230400
62: 451/153600
63: 383/230400
64: 1607/1843200
65: 1/2400
66: 109/614400
67: 1/15360
68: 1/51200
69: 1/230400
70: 1/1843200

Dice: [4, 4, 6, 6, 12, 20, 20]
7: 1/1
8: 2764799/2764800
9: 345599/345600
10: 76799/76800
11: 23039/23040
12: 345559/345600
13: 345503/345600
14: 1381579/1382400
15: 345203/345600
16: 344887/345600
17: 114799/115200
18: 229117/230400
19: 342659/345600
20: 79/80
21: 339469/345600
22: 224771/230400
23: 4457/4608
24: 330761/345600
25: 326557/345600
26: 1286453/1382400
27: 315889/345600
28: 412471/460800
29: 60397/69120
30: 21761/25600
31: 284719/345600
32: 244297/307200
33: 132073/172800
34: 505397/691200
35: 120277/172800
36: 113897/172800
37: 35753/57600
38: 66947/115200
39: 18689/34560
40: 1/2
41: 15871/34560
42: 48253/115200
43: 21847/57600
44: 58903/172800
45: 52523/172800
46: 185803/691200
47: 40727/172800
48: 62903/307200
49: 60881/345600
50: 3839/25600
51: 8723/69120
52: 48329/460800
53: 29711/345600
54: 95947/1382400
55: 19043/345600
56: 14839/345600
57: 151/4608
58: 5629/230400
59: 6131/345600
60: 1/80
61: 2941/345600
62: 1283/230400
63: 401/115200
64: 713/345600
65: 397/345600
66: 821/1382400
67: 97/345600
68: 41/345600
69: 1/23040
70: 1/76800
71: 1/345600
72: 1/2764800

Dice: [4, 6, 6, 6, 12, 20, 20]
7: 1/1
8: 4147199/4147200
9: 518399/518400
10: 115199/115200
11: 34559/34560
12: 4146871/4147200
13: 259151/259200
14: 1381841/1382400
15: 172663/172800
16: 1380401/1382400
17: 258557/259200
18: 826091/829440
19: 34343/34560
20: 821657/829440
21: 947/960
22: 4068611/4147200
23: 168341/172800
24: 4004969/4147200
25: 247639/259200
26: 1303759/1382400
27: 160481/172800
28: 3782543/4147200
29: 115747/129600
30: 3615377/4147200
31: 9769/11520
32: 340831/414720
33: 82249/103680
34: 3162139/4147200
35: 63029/86400
36: 480079/691200
37: 85261/129600
38: 1285097/2073600
39: 50153/86400
40: 1120643/2073600
41: 1/2
42: 952957/2073600
43: 36247/86400
44: 788503/2073600
45: 44339/129600
46: 211121/691200
47: 23371/86400
48: 985061/4147200
49: 21431/103680
50: 73889/414720
51: 1751/11520
52: 531823/4147200
53: 13853/129600
54: 364657/4147200
55: 12319/172800
56: 78641/1382400
57: 11561/259200
58: 142231/4147200
59: 4459/172800
60: 78589/4147200
61: 13/960
62: 7783/829440
63: 217/34560
64: 3349/829440
65: 643/259200
66: 1999/1382400
67: 137/172800
68: 559/1382400
69: 49/259200
70: 329/4147200
71: 1/34560
72: 1/115200
73: 1/518400
74: 1/4147200

Dice: [6, 6, 6, 6, 12, 20, 20]
7: 1/1
8: 6220799/6220800
9: 777599/777600
10: 172799/172800
11: 51839/51840
12: 207349/207360
13: 86389/86400
14: 388693/388800
15: 31087/31104
16: 230167/230400
17: 77623/77760
18: 387667/388800
19: 43001/43200
20: 6177271/6220800
21: 769621/777600
22: 473/480
23: 761927/777600
24: 1210357/1244160
25: 41653/43200
26: 370817/388800
27: 73199/77760
28: 5765717/6220800
29: 707719/777600
30: 138587/155520
31: 225439/259200
32: 11695/13824
33: 212507/259200
34: 1230769/1555200
35: 591503/777600
36: 4527847/6220800
37: 6737/9720
38: 25531/38880
39: 6683/10800
40: 1803497/3110400
41: 209993/388800
42: 1/2
43: 178807/388800
44: 1306903/3110400
45: 4117/10800
46: 13349/38880
47: 2983/9720
48: 1692953/6220800
49: 186097/777600
50: 324431/1555200
51: 46693/259200
52: 2129/13824
53: 33761/259200
54: 16933/155520
55: 69881/777600
56: 455083/6220800
57: 4561/77760
58: 17983/388800
59: 1547/43200
60: 33803/1244160
61: 15673/777600
62: 7/480
63: 7979/777600
64: 43529/6220800
65: 199/43200
66: 1133/388800
67: 137/77760
68: 233/230400
69: 17/31104
70: 107/388800
71: 11/86400
72: 11/207360
73: 1/51840
74: 1/172800
75: 1/777600
76: 1/6220800

Dice: [4, 4, 4, 8, 12, 20, 20]
7: 1/1
8: 2457599/2457600
9: 307199/307200
10: 204797/204800
11: 20479/20480
12: 819091/819200
13: 3199/3200
14: 102333/102400
15: 799/800
16: 2452153/2457600
17: 61213/61440
18: 610807/614400
19: 101493/102400
20: 2369/2400
21: 301601/307200
22: 199683/204800
23: 98981/102400
24: 783469/819200
25: 1133/1200
26: 285641/307200
27: 8767/9600
28: 732611/819200
29: 268177/307200
30: 104351/122880
31: 84277/102400
32: 1952399/2457600
33: 733/960
34: 112201/153600
35: 1669/2400
36: 809287/1228800
37: 95279/153600
38: 178441/307200
39: 83041/153600
40: 1/2
41: 70559/153600
42: 128759/307200
43: 58321/153600
44: 419513/1228800
45: 731/2400
46: 41399/153600
47: 227/960
48: 505201/2457600
49: 18123/102400
50: 18529/122880
51: 39023/307200
52: 86589/819200
53: 833/9600
54: 21559/307200
55: 67/1200
56: 35731/819200
57: 3419/102400
58: 5117/204800
59: 5599/307200
60: 31/2400
61: 907/102400
62: 3593/614400
63: 227/61440
64: 5447/2457600
65: 1/800
66: 67/102400
67: 1/3200
68: 109/819200
69: 1/20480
70: 3/204800
71: 1/307200
72: 1/2457600

Dice: [4, 4, 6, 8, 12, 20, 20]
7: 1/1
8: 3686399/3686400
9: 460799/460800
10: 102399/102400
11: 30719/30720
12: 460759/460800
13: 460703/460800
14: 3684757/3686400
15: 230201/230400
16: 1226887/1228800
17: 459583/460800
18: 458839/460800
19: 457777/460800
20: 146021/147456
21: 4733/4800
22: 722951/737280
23: 89731/92160
24: 444713/460800
25: 439937/460800
26: 386003/409600
27: 213799/230400
28: 3359341/3686400
29: 137057/153600
30: 40133/46080
31: 130127/153600
32: 756653/921600
33: 121729/153600
34: 2808023/3686400
35: 83959/115200
36: 426361/614400
37: 151457/230400
38: 142697/230400
39: 133679/230400
40: 39835/73728
41: 1/2
42: 33893/73728
43: 96721/230400
44: 87703/230400
45: 78943/230400
46: 188039/614400
47: 31241/115200
48: 878377/3686400
49: 31871/153600
50: 164947/921600
51: 23473/153600
52: 5947/46080
53: 16543/153600
54: 327059/3686400
55: 16601/230400
56: 23597/409600
57: 20863/460800
58: 16087/460800
59: 2429/92160
60: 14329/737280
61: 67/4800
62: 1435/147456
63: 3023/460800
64: 1961/460800
65: 1217/460800
66: 1913/1228800
67: 199/230400
68: 1643/3686400
69: 97/460800
70: 41/460800
71: 1/30720
72: 1/102400
73: 1/460800
74: 1/3686400

Dice: [4, 6, 6, 8, 12, 20, 20]
7: 1/1
8: 5529599/5529600
9: 691199/691200
10: 153599/153600
11: 46079/46080
12: 5529271/5529600
13: 345551/345600
14: 2763961/2764800
15: 172697/172800
16: 345223/345600
17: 6899/6912
18: 2756281/2764800
19: 343931/345600
20: 686167/691200
21: 341933/345600
22: 197/200
23: 338467/345600
24: 672041/691200
25: 333013/345600
26: 2635079/2764800
27: 162541/172800
28: 2560457/2764800
29: 34919/38400
30: 2461547/2764800
31: 18769/21600
32: 1557833/1843200
33: 566131/691200
34: 68309/86400
35: 175091/230400
36: 160841/221184
37: 59833/86400
38: 907079/1382400
39: 106861/172800
40: 200297/345600
41: 93307/172800
42: 1/2
43: 79493/172800
44: 145303/345600
45: 65939/172800
46: 475321/1382400
47: 26567/86400
48: 60343/221184
49: 55309/230400
50: 18091/86400
51: 125069/691200
52: 285367/1843200
53: 2831/21600
54: 303253/2764800
55: 3481/38400
56: 204343/2764800
57: 10259/172800
58: 129721/2764800
59: 12587/345600
60: 19159/691200
61: 7133/345600
62: 3/200
63: 3667/345600
64: 5033/691200
65: 1669/345600
66: 8519/2764800
67: 13/6912
68: 377/345600
69: 103/172800
70: 839/2764800
71: 49/345600
72: 329/5529600
73: 1/46080
74: 1/153600
75: 1/691200
76: 1/5529600

Dice: [6, 6, 6, 8, 12, 20, 20]
7: 1/1
8: 8294399/8294400
9: 1036799/1036800
10: 230399/230400
11: 69119/69120
12: 276469/276480
13: 115189/115200
14: 2764229/2764800
15: 172729/172800
16: 4144037/4147200
17: 129427/129600
18: 4137989/4147200
19: 172189/172800
20: 515593/518400
21: 514247/518400
22: 1366511/1382400
23: 4723/4800
24: 1352209/1382400
25: 503329/518400
26: 498743/518400
27: 164411/172800
28: 973439/1036800
29: 53237/57600
30: 3763327/4147200
31: 38377/43200
32: 2396951/2764800
33: 10793/12800
34: 564793/691200
35: 272593/345600
36: 393049/518400
37: 250763/345600
38: 5732333/8294400
39: 56591/86400
40: 32011/51840
41: 150061/259200
42: 373009/691200
43: 1/2
44: 318191/691200
45: 109139/259200
46: 19829/51840
47: 29809/86400
48: 2562067/8294400
49: 94837/345600
50: 125351/518400
51: 73007/345600
52: 126407/691200
53: 2007/12800
54: 367849/2764800
55: 4823/43200
56: 383873/4147200
57: 4363/57600
58: 63361/1036800
59: 8389/172800
60: 19657/518400
61: 15071/518400
62: 30191/1382400
63: 77/4800
64: 15889/1382400
65: 4153/518400
66: 2807/518400
67: 611/172800
68: 9211/4147200
69: 173/129600
70: 3163/4147200
71: 71/172800
72: 571/2764800
73: 11/115200
74: 11/276480
75: 1/69120
76: 1/230400
77: 1/1036800
78: 1/8294400

Dice: [4, 4, 8, 8, 12, 20, 20]
7: 1/1
8: 4915199/4915200
9: 614399/614400
10: 409597/409600
11: 40959/40960
12: 614359/614400
13: 614303/614400
14: 409463/409600
15: 204667/204800
16: 2454713/2457600
17: 613169/614400
18: 244961/245760
19: 40753/40960
20: 1626003/1638400
21: 303833/307200
22: 2363/2400
23: 100237/102400
24: 4776263/4915200
25: 591649/614400
26: 1170331/1228800
27: 577487/614400
28: 18951/20480
29: 7443/8192
30: 1093037/1228800
31: 21335/24576
32: 518779/614400
33: 167579/204800
34: 970559/1228800
35: 466463/614400
36: 3570973/4915200
37: 70853/102400
38: 134281/204800
39: 189857/307200
40: 1423687/2457600
41: 82919/153600
42: 1/2
43: 70681/153600
44: 1033913/2457600
45: 117343/307200
46: 70519/204800
47: 31547/102400
48: 1344227/4915200
49: 147937/614400
50: 258241/1228800
51: 37221/204800
52: 95621/614400
53: 3241/24576
54: 135763/1228800
55: 749/8192
56: 1529/20480
57: 36913/614400
58: 58469/1228800
59: 22751/614400
60: 138937/4915200
61: 2163/102400
62: 37/2400
63: 3367/307200
64: 12397/1638400
65: 207/40960
66: 799/245760
67: 1231/614400
68: 2887/2457600
69: 133/204800
70: 137/409600
71: 97/614400
72: 41/614400
73: 1/40960
74: 3/409600
75: 1/614400
76: 1/4915200

Dice: [4, 6, 8, 8, 12, 20, 20]
7: 1/1
8: 7372799/7372800
9: 921599/921600
10: 204799/204800
11: 61439/61440
12: 7372471/7372800
13: 460751/460800
14: 7371121/7372800
15: 921187/921600
16: 7366733/7372800
17: 51127/51200
18: 2451823/2457600
19: 918179/921600
20: 3665593/3686400
21: 913951/921600
22: 2428489/2457600
23: 4721/4800
24: 2402743/2457600
25: 178861/184320
26: 3544391/3686400
27: 876253/921600
28: 1383409/1474560
29: 212777/230400
30: 6684667/7372800
31: 817979/921600
32: 2128651/2457600
33: 43131/51200
34: 2006221/2457600
35: 726217/921600
36: 2792389/3686400
37: 668101/921600
38: 203647/294912
39: 301597/460800
40: 1137479/1843200
41: 266657/460800
42: 220989/409600
43: 1/2
44: 188611/409600
45: 194143/460800
46: 705721/1843200
47: 159203/460800
48: 91265/294912
49: 253499/921600
50: 894011/3686400
51: 195383/921600
52: 451379/2457600
53: 8069/51200
54: 328949/2457600
55: 103621/921600
56: 688133/7372800
57: 17623/230400
58: 91151/1474560
59: 45347/921600
60: 142009/3686400
61: 5459/184320
62: 54857/2457600
63: 79/4800
64: 29111/2457600
65: 7649/921600
66: 20807/3686400
67: 3421/921600
68: 5777/2457600
69: 73/51200
70: 6067/7372800
71: 413/921600
72: 1679/7372800
73: 49/460800
74: 329/7372800
75: 1/61440
76: 1/204800
77: 1/921600
78: 1/7372800

Dice: [6, 6, 8, 8, 12, 20, 20]
7: 1/1
8: 11059199/11059200
9: 1382399/1382400
10: 307199/307200
11: 92159/92160
12: 368629/368640
13: 153589/153600
14: 5528743/5529600
15: 1381973/1382400
16: 11052839/11059200
17: 230167/230400
18: 2760121/2764800
19: 9191/9216
20: 152957/153600
21: 228961/230400
22: 5479609/5529600
23: 12637/12800
24: 393/400
25: 12499/12800
26: 5358407/5529600
27: 221183/230400
28: 5248621/5529600
29: 161821/172800
30: 2548313/2764800
31: 104231/115200
32: 9794413/11059200
33: 1194673/1382400
34: 309829/368640
35: 1125881/1382400
36: 2173631/2764800
37: 69653/92160
38: 2000023/2764800
39: 952717/1382400
40: 7225777/11059200
41: 70991/115200
42: 1598279/2764800
43: 3451/6400
44: 1/2
45: 2949/6400
46: 1166521/2764800
47: 44209/115200
48: 3833423/11059200
49: 429683/1382400
50: 764777/2764800
51: 22507/92160
52: 591169/2764800
53: 256519/1382400
54: 58811/368640
55: 187727/1382400
56: 1264787/11059200
57: 10969/115200
58: 216487/2764800
59: 10979/172800
60: 280979/5529600
61: 9217/230400
62: 171193/5529600
63: 301/12800
64: 7/400
65: 163/12800
66: 49991/5529600
67: 1439/230400
68: 643/153600
69: 25/9216
70: 4679/2764800
71: 233/230400
72: 6361/11059200
73: 427/1382400
74: 857/5529600
75: 11/153600
76: 11/368640
77: 1/92160
78: 1/307200
79: 1/1382400
80: 1/11059200

Dice: [4, 8, 8, 8, 12, 20, 20]
7: 1/1
8: 9830399/9830400
9: 1228799/1228800
10: 819197/819200
11: 81919/81920
12: 9830071/9830400
13: 614351/614400
14: 40953/40960
15: 204731/204800
16: 1637383/1638400
17: 76717/76800
18: 1226597/1228800
19: 25527/25600
20: 1957487/1966080
21: 81389/81920
22: 2434661/2457600
23: 404239/409600
24: 2357/2400
25: 239863/245760
26: 2380187/2457600
27: 1178909/1228800
28: 9324503/9830400
29: 574937/614400
30: 94307/102400
31: 555431/614400
32: 1087309/1228800
33: 176827/204800
34: 515899/614400
35: 499919/614400
36: 514747/655360
37: 61857/81920
38: 355249/491520
39: 282059/409600
40: 2139449/3276800
41: 378397/614400
42: 236681/409600
43: 331219/614400
44: 1/2
45: 283181/614400
46: 172919/409600
47: 236003/614400
48: 1137351/3276800
49: 127541/409600
50: 136271/491520
51: 20063/81920
52: 140613/655360
53: 114481/614400
54: 98501/614400
55: 27973/204800
56: 141491/1228800
57: 58969/614400
58: 8093/102400
59: 39463/614400
60: 505897/9830400
61: 49891/1228800
62: 77413/2457600
63: 5897/245760
64: 43/2400
65: 5361/409600
66: 22939/2457600
67: 531/81920
68: 8593/1966080
69: 73/25600
70: 2203/1228800
71: 83/76800
72: 1017/1638400
73: 69/204800
74: 7/40960
75: 49/614400
76: 329/9830400
77: 1/81920
78: 3/819200
79: 1/1228800
80: 1/9830400

Dice: [6, 8, 8, 8, 12, 20, 20]
7: 1/1
8: 14745599/14745600
9: 1843199/1843200
10: 409599/409600
11: 122879/122880
12: 491509/491520
13: 204789/204800
14: 2948777/2949120
15: 460693/460800
16: 1228267/1228800
17: 460447/460800
18: 1472659/1474560
19: 102187/102400
20: 14697919/14745600
21: 1834237/1843200
22: 610039/614400
23: 1824611/1843200
24: 2907883/2949120
25: 4709/4800
26: 14374249/14745600
27: 356537/368640
28: 7062637/7372800
29: 1745413/1843200
30: 13773449/14745600
31: 23531/25600
32: 6651499/7372800
33: 813733/921600
34: 1270333/1474560
35: 128683/153600
36: 11970731/14745600
37: 1444459/1843200
38: 5554919/7372800
39: 443137/614400
40: 5067347/7372800
41: 240283/368640
42: 9068977/14745600
43: 531997/921600
44: 3972457/7372800
45: 1/2
46: 3400343/7372800
47: 389603/921600
48: 5676623/14745600
49: 128357/368640
50: 2305453/7372800
51: 171263/614400
52: 1817881/7372800
53: 398741/1843200
54: 2774869/14745600
55: 24917/153600
56: 204227/1474560
57: 107867/921600
58: 721301/7372800
59: 2069/25600
60: 972151/14745600
61: 97787/1843200
62: 310163/7372800
63: 12103/368640
64: 371351/14745600
65: 91/4800
66: 41237/2949120
67: 18589/1843200
68: 4361/614400
69: 8963/1843200
70: 47681/14745600
71: 213/102400
72: 1901/1474560
73: 353/460800
74: 533/1228800
75: 107/460800
76: 343/2949120
77: 11/204800
78: 11/491520
79: 1/122880
80: 1/409600
81: 1/1843200
82: 1/14745600

Dice: [8, 8, 8, 8, 12, 20, 20]
7: 1/1
8: 19660799/19660800
9: 2457599/2457600
10: 1638397/1638400
11: 163839/163840
12: 655349/655360
13: 819167/819200
14: 1638257/1638400
15: 819057/819200
16: 19654369/19660800
17: 1228087/1228800
18: 2455187/2457600
19: 408947/409600
20: 19611733/19660800
21: 2448307/2457600
22: 325857/327680
23: 812671/819200
24: 6480569/6553600
25: 48403/49152
26: 2351/2400
27: 1195813/1228800
28: 759151/786432
29: 783063/819200
30: 928711/983040
31: 763257/819200
32: 720919/786432
33: 552709/614400
34: 1081741/1228800
35: 21107/24576
36: 16419677/19660800
37: 662939/819200
38: 1279947/1638400
39: 369203/491520
40: 147287/204800
41: 1684649/2457600
42: 3196331/4915200
43: 301723/491520
44: 3777849/6553600
45: 110263/204800
46: 1/2
47: 94537/204800
48: 2775751/6553600
49: 189797/491520
50: 1718869/4915200
51: 772951/2457600
52: 57513/204800
53: 122317/491520
54: 358453/1638400
55: 156261/819200
56: 3241123/19660800
57: 3469/24576
58: 147059/1228800
59: 61691/614400
60: 65513/786432
61: 55943/819200
62: 54329/983040
63: 36137/819200
64: 27281/786432
65: 32987/1228800
66: 49/2400
67: 749/49152
68: 73031/6553600
69: 6529/819200
70: 1823/327680
71: 9293/2457600
72: 49067/19660800
73: 653/409600
74: 2413/2457600
75: 713/1228800
76: 6431/19660800
77: 143/819200
78: 143/1638400
79: 33/819200
80: 11/655360
81: 1/163840
82: 3/1638400
83: 1/2457600
84: 1/19660800

Dice: [4, 4, 4, 12, 12, 20, 20]
7: 1/1
8: 3686399/3686400
9: 460799/460800
10: 102399/102400
11: 30719/30720
12: 1228691/1228800
13: 4799/4800
14: 153533/153600
15: 1199/1200
16: 153373/153600
17: 28729/28800
18: 458999/460800
19: 3181/3200
20: 121811/122880
21: 75851/76800
22: 2359/2400
23: 75029/76800
24: 595681/614400
25: 9221/9600
26: 437641/460800
27: 26987/28800
28: 340001/368640
29: 208609/230400
30: 22689/25600
31: 66421/76800
32: 1033543/1228800
33: 125189/153600
34: 241679/307200
35: 348481/460800
36: 2668177/3686400
37: 9929/14400
38: 150601/230400
39: 2959/4800
40: 59211/102400
41: 6903/12800
42: 1/2
43: 5897/12800
44: 43189/102400
45: 1841/4800
46: 79799/230400
47: 4471/14400
48: 1018223/3686400
49: 112319/460800
50: 65521/307200
51: 28411/153600
52: 195257/1228800
53: 10379/76800
54: 2911/25600
55: 21791/230400
56: 28639/368640
57: 1813/28800
58: 23159/460800
59: 379/9600
60: 18719/614400
61: 1771/76800
62: 41/2400
63: 949/76800
64: 1069/122880
65: 19/3200
66: 1801/460800
67: 71/28800
68: 227/153600
69: 1/1200
70: 67/153600
71: 1/4800
72: 109/1228800
73: 1/30720
74: 1/102400
75: 1/460800
76: 1/3686400

Dice: [4, 4, 6, 12, 12, 20, 20]
7: 1/1
8: 5529599/5529600
9: 691199/691200
10: 153599/153600
11: 46079/46080
12: 691159/691200
13: 691103/691200
14: 5527957/5529600
15: 345401/345600
16: 276193/276480
17: 114997/115200
18: 1378469/1382400
19: 344081/345600
20: 2746699/2764800
21: 1783/1800
22: 1364087/1382400
23: 1571/1600
24: 1348873/1382400
25: 6971/7200
26: 2651573/2764800
27: 327679/345600
28: 862013/921600
29: 31813/34560
30: 1249069/1382400
31: 152819/172800
32: 4771579/5529600
33: 38669/46080
34: 2248207/2764800
35: 542539/691200
36: 208627/276480
37: 499237/691200
38: 1268467/1843200
39: 112759/172800
40: 850997/1382400
41: 4159/7200
42: 372553/691200
43: 1/2
44: 318647/691200
45: 3041/7200
46: 531403/1382400
47: 60041/172800
48: 574733/1843200
49: 191963/691200
50: 67853/276480
51: 148661/691200
52: 516593/2764800
53: 7411/46080
54: 758021/5529600
55: 19981/172800
56: 133331/1382400
57: 2747/34560
58: 59587/921600
59: 17921/345600
60: 113227/2764800
61: 229/7200
62: 33527/1382400
63: 29/1600
64: 18313/1382400
65: 17/1800
66: 18101/2764800
67: 1519/345600
68: 3931/1382400
69: 203/115200
70: 287/276480
71: 199/345600
72: 1643/5529600
73: 97/691200
74: 41/691200
75: 1/46080
76: 1/153600
77: 1/691200
78: 1/5529600

Dice: [4, 6, 6, 12, 12, 20, 20]
7: 1/1
8: 8294399/8294400
9: 1036799/1036800
10: 230399/230400
11: 69119/69120
12: 8294071/8294400
13: 518351/518400
14: 4146361/4147200
15: 259097/259200
16: 2762789/2764800
17: 1035499/1036800
18: 4138663/4147200
19: 1033447/1036800
20: 515863/518400
21: 343123/345600
22: 4104907/4147200
23: 1022137/1036800
24: 1177/1200
25: 1010423/1036800
26: 4009781/4147200
27: 330941/345600
28: 3925577/4147200
29: 968011/1036800
30: 3810173/4147200
31: 934883/1036800
32: 7319587/8294400
33: 55793/64800
34: 1157447/1382400
35: 420581/518400
36: 6495851/8294400
37: 780649/1036800
38: 747313/1036800
39: 712163/1036800
40: 216137/331776
41: 106229/172800
42: 1196597/2073600
43: 279263/518400
44: 1/2
45: 239137/518400
46: 877003/2073600
47: 66571/172800
48: 115639/331776
49: 324637/1036800
50: 289487/1036800
51: 256151/1036800
52: 1798549/8294400
53: 97819/518400
54: 224953/1382400
55: 9007/64800
56: 974813/8294400
57: 101917/1036800
58: 337027/4147200
59: 68789/1036800
60: 221623/4147200
61: 14659/345600
62: 137419/4147200
63: 26377/1036800
64: 23/1200
65: 14663/1036800
66: 42293/4147200
67: 2477/345600
68: 2537/518400
69: 3353/1036800
70: 8537/4147200
71: 1301/1036800
72: 2011/2764800
73: 103/259200
74: 839/4147200
75: 49/518400
76: 329/8294400
77: 1/69120
78: 1/230400
79: 1/1036800
80: 1/8294400

Dice: [6, 6, 6, 12, 12, 20, 20]
7: 1/1
8: 12441599/12441600
9: 1555199/1555200
10: 345599/345600
11: 103679/103680
12: 414709/414720
13: 172789/172800
14: 4146629/4147200
15: 259129/259200
16: 1381697/1382400
17: 310763/311040
18: 6211571/6220800
19: 172391/172800
20: 12396359/12441600
21: 386699/388800
22: 457207/460800
23: 512719/518400
24: 4084819/4147200
25: 4703/4800
26: 4036781/4147200
27: 500537/518400
28: 11895797/12441600
29: 81647/86400
30: 2319053/2488320
31: 475357/518400
32: 5597911/6220800
33: 1369511/1555200
34: 3562931/4147200
35: 72179/86400
36: 3357109/4147200
37: 1215277/1555200
38: 934771/1244160
39: 372899/518400
40: 853007/1244160
41: 337163/518400
42: 7638247/12441600
43: 149429/259200
44: 1116461/2073600
45: 1/2
46: 957139/2073600
47: 109771/259200
48: 4803353/12441600
49: 181237/518400
50: 391153/1244160
51: 145501/518400
52: 309389/1244160
53: 339923/1555200
54: 790091/4147200
55: 14221/86400
56: 584269/4147200
57: 185689/1555200
58: 622889/6220800
59: 43043/518400
60: 169267/2488320
61: 4753/86400
62: 545803/12441600
63: 17863/518400
64: 110419/4147200
65: 97/4800
66: 62381/4147200
67: 5681/518400
68: 3593/460800
69: 2101/388800
70: 45241/12441600
71: 409/172800
72: 9229/6220800
73: 277/311040
74: 703/1382400
75: 71/259200
76: 571/4147200
77: 11/172800
78: 11/414720
79: 1/103680
80: 1/345600
81: 1/1555200
82: 1/12441600

Dice: [4, 4, 8, 12, 12, 20, 20]
7: 1/1
8: 7372799/7372800
9: 921599/921600
10: 204799/204800
11: 61439/61440
12: 921559/921600
13: 921503/921600
14: 614263/614400
15: 307067/307200
16: 98227/98304
17: 57523/57600
18: 459799/460800
19: 3827/3840
20: 1222547/1228800
21: 91477/92160
22: 911927/921600
23: 151373/153600
24: 2353/2400
25: 49873/51200
26: 890569/921600
27: 440983/460800
28: 435881/460800
29: 429913/460800
30: 846043/921600
31: 415159/460800
32: 6500639/7372800
33: 158557/184320
34: 513947/614400
35: 747007/921600
36: 2884403/3686400
37: 138659/184320
38: 1327441/1843200
39: 126509/184320
40: 4799773/7372800
41: 141559/230400
42: 265801/460800
43: 41363/76800
44: 1/2
45: 35437/76800
46: 194999/460800
47: 88841/230400
48: 2573027/7372800
49: 57811/184320
50: 515759/1843200
51: 45661/184320
52: 801997/3686400
53: 174593/921600
54: 100453/614400
55: 25763/184320
56: 872161/7372800
57: 45641/460800
58: 75557/921600
59: 30887/460800
60: 24919/460800
61: 19817/460800
62: 31031/921600
63: 1327/51200
64: 47/2400
65: 2227/153600
66: 9673/921600
67: 683/92160
68: 6253/1228800
69: 13/3840
70: 1001/460800
71: 77/57600
72: 77/98304
73: 133/307200
74: 137/614400
75: 97/921600
76: 41/921600
77: 1/61440
78: 1/204800
79: 1/921600
80: 1/7372800

Dice: [4, 6, 8, 12, 12, 20, 20]
7: 1/1
8: 11059199/11059200
9: 1382399/1382400
10: 307199/307200
11: 92159/92160
12: 11058871/11059200
13: 691151/691200
14: 11057521/11059200
15: 1381987/1382400
16: 2763283/2764800
17: 276217/276480
18: 3680611/3686400
19: 344741/345600
20: 5508629/5529600
21: 229109/230400
22: 685639/691200
23: 683417/691200
24: 362963/368640
25: 1567/1600
26: 1793249/1843200
27: 133403/138240
28: 1056757/1105920
29: 326369/345600
30: 5149711/5529600
31: 633317/691200
32: 9943657/11059200
33: 243259/276480
34: 316423/368640
35: 76921/92160
36: 993791/1228800
37: 134909/172800
38: 1660363/2211840
39: 39743/55296
40: 473533/691200
41: 898501/1382400
42: 271433/442368
43: 199159/345600
44: 496097/921600
45: 1/2
46: 425503/921600
47: 146441/345600
48: 170935/442368
49: 483899/1382400
50: 217667/691200
51: 15553/55296
52: 551477/2211840
53: 37891/172800
54: 235009/1228800
55: 15239/92160
56: 52217/368640
57: 33221/276480
58: 1115543/11059200
59: 57883/691200
60: 379889/5529600
61: 19231/345600
62: 49163/1105920
63: 4837/138240
64: 49951/1843200
65: 33/1600
66: 5677/368640
67: 7783/691200
68: 5561/691200
69: 1291/230400
70: 20971/5529600
71: 859/345600
72: 5789/3686400
73: 263/276480
74: 1517/2764800
75: 413/1382400
76: 1679/11059200
77: 49/691200
78: 329/11059200
79: 1/92160
80: 1/307200
81: 1/1382400
82: 1/11059200

Dice: [6, 6, 8, 12, 12, 20, 20]
7: 1/1
8: 16588799/16588800
9: 2073599/2073600
10: 460799/460800
11: 138239/138240
12: 552949/552960
13: 230389/230400
14: 8293543/8294400
15: 2073173/2073600
16: 8291219/8294400
17: 2072201/2073600
18: 258907/259200
19: 137989/138240
20: 661687/663552
21: 516217/518400
22: 824357/829440
23: 64237/64800
24: 1024327/1036800
25: 127487/129600
26: 587/600
27: 25187/25920
28: 7993289/8294400
29: 109913/115200
30: 3909977/4147200
31: 963853/1036800
32: 15170741/16588800
33: 620233/691200
34: 3641257/4147200
35: 118403/138240
36: 2302573/2764800
37: 557779/691200
38: 6461593/8294400
39: 20711/27648
40: 2974819/4147200
41: 1418023/2073600
42: 2691223/4147200
43: 423563/691200
44: 382025/663552
45: 2179/4050
46: 1/2
47: 1871/4050
48: 281527/663552
49: 267637/691200
50: 1455977/4147200
51: 655577/2073600
52: 1172381/4147200
53: 6937/27648
54: 1832807/8294400
55: 133421/691200
56: 462227/2764800
57: 19837/138240
58: 505943/4147200
59: 70967/691200
60: 1418059/16588800
61: 72947/1036800
62: 237223/4147200
63: 5287/115200
64: 301111/8294400
65: 733/25920
66: 13/600
67: 2113/129600
68: 12473/1036800
69: 563/64800
70: 5083/829440
71: 2183/518400
72: 1865/663552
73: 251/138240
74: 293/259200
75: 1399/2073600
76: 3181/8294400
77: 427/2073600
78: 857/8294400
79: 11/230400
80: 11/552960
81: 1/138240
82: 1/460800
83: 1/2073600
84: 1/16588800

Dice: [4, 8, 8, 12, 12, 20, 20]
7: 1/1
8: 14745599/14745600
9: 1843199/1843200
10: 409599/409600
11: 122879/122880
12: 14745271/14745600
13: 921551/921600
14: 61433/61440
15: 102377/102400
16: 14739497/14745600
17: 613957/614400
18: 736397/737280
19: 204409/204800
20: 4900769/4915200
21: 917569/921600
22: 73261/73728
23: 304453/307200
24: 2427283/2457600
25: 453121/460800
26: 2347/2400
27: 447551/460800
28: 887657/921600
29: 87877/92160
30: 434153/460800
31: 428071/460800
32: 2694947/2949120
33: 1652611/1843200
34: 3233927/3686400
35: 21031/24576
36: 817963/983040
37: 129/160
38: 1434641/1843200
39: 43111/57600
40: 10568579/14745600
41: 1259531/1843200
42: 478129/737280
43: 1128901/1843200
44: 8486173/14745600
45: 24787/46080
46: 1/2
47: 21293/46080
48: 6259427/14745600
49: 714299/1843200
50: 259151/737280
51: 583669/1843200
52: 4177021/14745600
53: 14489/57600
54: 408559/1843200
55: 31/160
56: 165077/983040
57: 3545/24576
58: 452473/3686400
59: 190589/1843200
60: 254173/2949120
61: 32729/460800
62: 26647/460800
63: 4283/92160
64: 33943/921600
65: 13249/460800
66: 53/2400
67: 7679/460800
68: 30317/2457600
69: 2747/307200
70: 467/73728
71: 4031/921600
72: 14431/4915200
73: 391/204800
74: 883/737280
75: 443/614400
76: 6103/14745600
77: 23/102400
78: 7/61440
79: 49/921600
80: 329/14745600
81: 1/122880
82: 1/409600
83: 1/1843200
84: 1/14745600

Dice: [6, 8, 8, 12, 12, 20, 20]
7: 1/1
8: 22118399/22118400
9: 2764799/2764800
10: 614399/614400
11: 184319/184320
12: 737269/737280
13: 307189/307200
14: 4423337/4423680
15: 691093/691200
16: 22112003/22118400
17: 307043/307200
18: 11049677/11059200
19: 920317/921600
20: 2207039/2211840
21: 2755739/2764800
22: 22012057/22118400
23: 457633/460800
24: 5476537/5529600
25: 454757/460800
26: 10864859/11059200
27: 1563/1600
28: 1072823/1105920
29: 664841/691200
30: 5264729/5529600
31: 108361/115200
32: 20511227/22118400
33: 2521771/2764800
34: 1237007/1382400
35: 2420449/2764800
36: 590243/691200
37: 85021/102400
38: 3558901/4423680
39: 214739/276480
40: 16520647/22118400
41: 1977773/2764800
42: 377191/552960
43: 596737/921600
44: 3382423/5529600
45: 1589701/2764800
46: 11891861/22118400
47: 1/2
48: 10226539/22118400
49: 1175099/2764800
50: 2147177/5529600
51: 324863/921600
52: 175769/552960
53: 787027/2764800
54: 5597753/22118400
55: 61741/276480
56: 864779/4423680
57: 17379/102400
58: 100957/691200
59: 344351/2764800
60: 145393/1382400
61: 243029/2764800
62: 1607173/22118400
63: 6839/115200
64: 264871/5529600
65: 26359/691200
66: 33097/1105920
67: 37/1600
68: 194341/11059200
69: 6043/460800
70: 53063/5529600
71: 3167/460800
72: 106343/22118400
73: 9061/2764800
74: 4801/2211840
75: 1283/921600
76: 9523/11059200
77: 157/307200
78: 6397/22118400
79: 107/691200
80: 343/4423680
81: 11/307200
82: 11/737280
83: 1/184320
84: 1/614400
85: 1/2764800
86: 1/22118400

Dice: [8, 8, 8, 12, 12, 20, 20]
7: 1/1
8: 29491199/29491200
9: 3686399/3686400
10: 819199/819200
11: 245759/245760
12: 983029/983040
13: 409589/409600
14: 2457457/2457600
15: 1228657/1228800
16: 307133/307200
17: 3684973/3686400
18: 1473593/1474560
19: 409163/409600
20: 7360451/7372800
21: 3677009/3686400
22: 163223/163840
23: 1222133/1228800
24: 1951067/1966080
25: 607937/614400
26: 3634021/3686400
27: 1808461/1843200
28: 2876621/2949120
29: 148751/153600
30: 884777/921600
31: 145937/153600
32: 9225749/9830400
33: 1136717/1228800
34: 745239/819200
35: 3289609/3686400
36: 1287209/1474560
37: 3138691/3686400
38: 2034403/2457600
39: 2956877/3686400
40: 2854753/3686400
41: 2745611/3686400
42: 1753309/2457600
43: 278717/409600
44: 198487/307200
45: 750337/1228800
46: 846769/1474560
47: 220069/409600
48: 1/2
49: 189531/409600
50: 627791/1474560
51: 478463/1228800
52: 108713/307200
53: 130883/409600
54: 704291/2457600
55: 940789/3686400
56: 831647/3686400
57: 729523/3686400
58: 423197/2457600
59: 547709/3686400
60: 187351/1474560
61: 396791/3686400
62: 73961/819200
63: 92083/1228800
64: 604651/9830400
65: 7663/153600
66: 36823/921600
67: 4849/153600
68: 72499/2949120
69: 34739/1843200
70: 52379/3686400
71: 6463/614400
72: 15013/1966080
73: 6667/1228800
74: 617/163840
75: 9391/3686400
76: 12349/7372800
77: 437/409600
78: 967/1474560
79: 1427/3686400
80: 67/307200
81: 143/1228800
82: 143/2457600
83: 11/409600
84: 11/983040
85: 1/245760
86: 1/819200
87: 1/3686400
88: 1/29491200

Dice: [4, 4, 12, 12, 12, 20, 20]
7: 1/1
8: 11059199/11059200
9: 1382399/1382400
10: 307199/307200
11: 92159/92160
12: 1382359/1382400
13: 1382303/1382400
14: 921463/921600
15: 460667/460800
16: 690839/691200
17: 153463/153600
18: 2760787/2764800
19: 91951/92160
20: 244919/245760
21: 687737/691200
22: 686263/691200
23: 228109/230400
24: 151519/153600
25: 678689/691200
26: 781/800
27: 134003/138240
28: 5314213/5529600
29: 328733/345600
30: 1298971/1382400
31: 320123/345600
32: 402989/442368
33: 1235393/1382400
34: 2417123/2764800
35: 392933/460800
36: 191017/230400
37: 370171/460800
38: 428849/552960
39: 1031071/1382400
40: 3950201/5529600
41: 941803/1382400
42: 1788241/2764800
43: 844837/1382400
44: 6354577/11059200
45: 185743/345600
46: 1/2
47: 159857/345600
48: 4704623/11059200
49: 537563/1382400
50: 976559/2764800
51: 440597/1382400
52: 1579399/5529600
53: 351329/1382400
54: 124111/552960
55: 90629/460800
56: 39383/230400
57: 67867/460800
58: 347677/2764800
59: 147007/1382400
60: 39379/442368
61: 25477/345600
62: 83429/1382400
63: 16867/345600
64: 215387/5529600
65: 4237/138240
66: 19/800
67: 12511/691200
68: 2081/153600
69: 2291/230400
70: 4937/691200
71: 3463/691200
72: 841/245760
73: 209/92160
74: 4013/2764800
75: 137/153600
76: 361/691200
77: 133/460800
78: 137/921600
79: 97/1382400
80: 41/1382400
81: 1/92160
82: 1/307200
83: 1/1382400
84: 1/11059200

Dice: [4, 6, 12, 12, 12, 20, 20]
7: 1/1
8: 16588799/16588800
9: 2073599/2073600
10: 460799/460800
11: 138239/138240
12: 16588471/16588800
13: 1036751/1036800
14: 16587121/16588800
15: 2073187/2073600
16: 5527577/5529600
17: 518071/518400
18: 5523799/5529600
19: 2070149/2073600
20: 551551/552960
21: 2065757/2073600
22: 16498181/16588800
23: 514409/518400
24: 328255/331776
25: 68129/69120
26: 1627337/1658880
27: 4681/4800
28: 223069/230400
29: 497537/518400
30: 1575577/1658880
31: 972653/1036800
32: 15339149/16588800
33: 1885511/2073600
34: 3698959/4147200
35: 1809173/2073600
36: 4705399/5529600
37: 142961/172800
38: 4432697/5529600
39: 1604851/2073600
40: 12348107/16588800
41: 184817/259200
42: 11282239/16588800
43: 53567/82944
44: 1265713/2073600
45: 1190437/2073600
46: 2970479/5529600
47: 1/2
48: 2559121/5529600
49: 883163/2073600
50: 807887/2073600
51: 29377/82944
52: 5306561/16588800
53: 74383/259200
54: 4240693/16588800
55: 468749/2073600
56: 1096903/5529600
57: 29839/172800
58: 824201/5529600
59: 264427/2073600
60: 448241/4147200
61: 188089/2073600
62: 1249651/16588800
63: 64147/1036800
64: 83303/1658880
65: 20863/518400
66: 7331/230400
67: 119/4800
68: 31543/1658880
69: 991/69120
70: 3521/331776
71: 3991/518400
72: 90619/16588800
73: 7843/2073600
74: 1409/552960
75: 3451/2073600
76: 5801/5529600
77: 329/518400
78: 2023/5529600
79: 413/2073600
80: 1679/16588800
81: 49/1036800
82: 329/16588800
83: 1/138240
84: 1/460800
85: 1/2073600
86: 1/16588800

Dice: [6, 6, 12, 12, 12, 20, 20]
7: 1/1
8: 24883199/24883200
9: 3110399/3110400
10: 691199/691200
11: 207359/207360
12: 829429/829440
13: 345589/345600
14: 12440743/12441600
15: 3109973/3110400
16: 2764093/2764800
17: 15545/15552
18: 6216103/6220800
19: 5753/5760
20: 12418123/12441600
21: 310157/311040
22: 1376659/1382400
23: 772993/777600
24: 24677599/24883200
25: 341699/345600
26: 12253351/12441600
27: 3048407/3110400
28: 12120193/12441600
29: 1002601/1036800
30: 11924861/12441600
31: 983281/1036800
32: 4661233/4976640
33: 1435561/1555200
34: 2258459/2488320
35: 76913/86400
36: 677081/777600
37: 660337/777600
38: 1711961/2073600
39: 155513/194400
40: 19218863/24883200
41: 770237/1036800
42: 8854787/12441600
43: 2111851/3110400
44: 4011619/6220800
45: 632099/1036800
46: 1784113/3110400
47: 111341/207360
48: 1/2
49: 96019/207360
50: 1326287/3110400
51: 404701/1036800
52: 2209181/6220800
53: 998549/3110400
54: 3586813/12441600
55: 266563/1036800
56: 5664337/24883200
57: 38887/194400
58: 361639/2073600
59: 117263/777600
60: 100519/777600
61: 9487/86400
62: 229861/2488320
63: 119639/1555200
64: 315407/4976640
65: 53519/1036800
66: 516739/12441600
67: 34199/1036800
68: 321407/12441600
69: 61993/3110400
70: 188249/12441600
71: 3901/345600
72: 205601/24883200
73: 4607/777600
74: 5741/1382400
75: 883/311040
76: 23477/12441600
77: 7/5760
78: 4697/6220800
79: 7/15552
80: 707/2764800
81: 427/3110400
82: 857/12441600
83: 11/345600
84: 11/829440
85: 1/207360
86: 1/691200
87: 1/3110400
88: 1/24883200

Dice: [4, 8, 12, 12, 12, 20, 20]
7: 1/1
8: 22118399/22118400
9: 2764799/2764800
10: 614399/614400
11: 184319/184320
12: 22118071/22118400
13: 1382351/1382400
14: 92153/92160
15: 153577/153600
16: 2764037/2764800
17: 276347/276480
18: 690647/691200
19: 460211/460800
20: 22074779/22118400
21: 2756641/2764800
22: 5505839/5529600
23: 915973/921600
24: 812249/819200
25: 683213/691200
26: 1361047/1382400
27: 677171/691200
28: 10768897/11059200
29: 89077/92160
30: 2648539/2764800
31: 1310261/1382400
32: 20703151/22118400
33: 102013/110592
34: 1003013/1105920
35: 2459291/2764800
36: 19243541/22118400
37: 1172953/1382400
38: 190057/230400
39: 220987/276480
40: 8534609/11059200
41: 513079/691200
42: 1966243/2764800
43: 468977/691200
44: 14254979/22118400
45: 67391/110592
46: 3170641/5529600
47: 98951/184320
48: 1/2
49: 85369/184320
50: 2358959/5529600
51: 43201/110592
52: 7863421/22118400
53: 222223/691200
54: 798557/2764800
55: 178121/691200
56: 2524591/11059200
57: 55493/276480
58: 40343/230400
59: 209447/1382400
60: 2874859/22118400
61: 305509/2764800
62: 102907/1105920
63: 8579/110592
64: 1415249/22118400
65: 72139/1382400
66: 116261/2764800
67: 3083/92160
68: 290303/11059200
69: 14029/691200
70: 21353/1382400
71: 7987/691200
72: 6951/819200
73: 5627/921600
74: 23761/5529600
75: 8159/2764800
76: 43621/22118400
77: 589/460800
78: 553/691200
79: 133/276480
80: 763/2764800
81: 23/153600
82: 7/92160
83: 49/1382400
84: 329/22118400
85: 1/184320
86: 1/614400
87: 1/2764800
88: 1/22118400

Dice: [6, 8, 12, 12, 12, 20, 20]
7: 1/1
8: 33177599/33177600
9: 4147199/4147200
10: 921599/921600
11: 276479/276480
12: 1105909/1105920
13: 460789/460800
14: 6635177/6635520
15: 1036693/1036800
16: 16585601/16588800
17: 2072893/2073600
18: 16579259/16588800
19: 172639/172800
20: 3681029/3686400
21: 1379347/1382400
22: 16534789/16588800
23: 825557/829440
24: 411991/414720
25: 4109627/4147200
26: 32771551/33177600
27: 1019957/1036800
28: 16236859/16588800
29: 2017009/2073600
30: 533819/552960
31: 1983749/2073600
32: 31400117/33177600
33: 3875659/4147200
34: 15275803/16588800
35: 1251493/1382400
36: 14727673/16588800
37: 3601043/4147200
38: 28093927/33177600
39: 47417/57600
40: 1654019/2073600
41: 798517/1036800
42: 2458033/3317760
43: 18173/25600
44: 22473811/33177600
45: 2668973/4147200
46: 5048419/8294400
47: 95039/165888
48: 17803067/33177600
49: 1/2
50: 15374533/33177600
51: 70849/165888
52: 3245981/8294400
53: 1478227/4147200
54: 10703789/33177600
55: 7427/25600
56: 859727/3317760
57: 238283/1036800
58: 419581/2073600
59: 10183/57600
60: 5083673/33177600
61: 546157/4147200
62: 1861127/16588800
63: 130907/1382400
64: 1312997/16588800
65: 271541/4147200
66: 1777483/33177600
67: 89851/2073600
68: 19141/552960
69: 56591/2073600
70: 351941/16588800
71: 16843/1036800
72: 406049/33177600
73: 37573/4147200
74: 2729/414720
75: 3883/829440
76: 54011/16588800
77: 3053/1382400
78: 5371/3686400
79: 161/172800
80: 9541/16588800
81: 707/2073600
82: 3199/16588800
83: 107/1036800
84: 343/6635520
85: 11/460800
86: 11/1105920
87: 1/276480
88: 1/921600
89: 1/4147200
90: 1/33177600

Dice: [8, 8, 12, 12, 12, 20, 20]
7: 1/1
8: 44236799/44236800
9: 5529599/5529600
10: 1228799/1228800
11: 368639/368640
12: 1474549/1474560
13: 614389/614400
14: 3686257/3686400
15: 1843057/1843200
16: 44230367/44236800
17: 460681/460800
18: 2763589/2764800
19: 460471/460800
20: 196387/196608
21: 1840037/1843200
22: 735401/737280
23: 367279/368640
24: 22002751/22118400
25: 1829831/1843200
26: 3650009/3686400
27: 5456603/5529600
28: 43468517/44236800
29: 2702581/2764800
30: 596737/614400
31: 98689/102400
32: 2816063/2949120
33: 1044527/1105920
34: 3437381/3686400
35: 1693271/1843200
36: 3328891/3686400
37: 1632077/1843200
38: 9576433/11059200
39: 1556387/1843200
40: 1344917/1638400
41: 733037/921600
42: 4246927/5529600
43: 680963/921600
44: 10441399/14745600
45: 1245697/1843200
46: 2367709/3686400
47: 3360173/5529600
48: 25314179/44236800
49: 296531/552960
50: 1/2
51: 256429/552960
52: 18922621/44236800
53: 2169427/5529600
54: 1318691/3686400
55: 597503/1843200
56: 4304201/14745600
57: 240637/921600
58: 1282673/5529600
59: 188563/921600
60: 293483/1638400
61: 286813/1843200
62: 1482767/11059200
63: 211123/1843200
64: 357509/3686400
65: 149929/1843200
66: 249019/3686400
67: 61393/1105920
68: 133057/2949120
69: 3711/102400
70: 17663/614400
71: 62219/2764800
72: 768283/44236800
73: 72997/5529600
74: 36391/3686400
75: 13369/1843200
76: 115649/22118400
77: 1361/368640
78: 1879/737280
79: 3163/1843200
80: 221/196608
81: 329/460800
82: 1211/2764800
83: 119/460800
84: 6433/44236800
85: 143/1843200
86: 143/3686400
87: 11/614400
88: 11/1474560
89: 1/368640
90: 1/1228800
91: 1/5529600
92: 1/44236800

Dice: [4, 12, 12, 12, 12, 20, 20]
7: 1/1
8: 33177599/33177600
9: 4147199/4147200
10: 921599/921600
11: 276479/276480
12: 33177271/33177600
13: 2073551/2073600
14: 138233/138240
15: 230377/230400
16: 2211433/2211840
17: 4145869/4147200
18: 8289967/8294400
19: 1381217/1382400
20: 33133651/33177600
21: 21557/21600
22: 2067557/2073600
23: 239/240
24: 32984147/33177600
25: 4114019/4147200
26: 328199/331776
27: 4087949/4147200
28: 32559149/33177600
29: 505973/518400
30: 89357/92160
31: 498647/518400
32: 31612519/33177600
33: 3907703/4147200
34: 7714201/8294400
35: 3799321/4147200
36: 29871967/33177600
37: 1830419/2073600
38: 715931/829440
39: 193909/230400
40: 9047981/11059200
41: 40589/51200
42: 6349609/8294400
43: 3054707/4147200
44: 4684759/6635520
45: 349411/518400
46: 2657443/4147200
47: 314417/518400
48: 9479801/16588800
49: 1111169/2073600
50: 1/2
51: 962431/2073600
52: 7108999/16588800
53: 203983/518400
54: 1489757/4147200
55: 168989/518400
56: 1950761/6635520
57: 1092493/4147200
58: 1944791/8294400
59: 10611/51200
60: 2011219/11059200
61: 36491/230400
62: 113509/829440
63: 243181/2073600
64: 3305633/33177600
65: 347879/4147200
66: 580199/8294400
67: 239497/4147200
68: 1565081/33177600
69: 19753/518400
70: 2803/92160
71: 12427/518400
72: 618451/33177600
73: 59251/4147200
74: 3577/331776
75: 33181/4147200
76: 193453/33177600
77: 1/240
78: 6043/2073600
79: 43/21600
80: 43949/33177600
81: 1183/1382400
82: 4433/8294400
83: 1331/4147200
84: 407/2211840
85: 23/230400
86: 7/138240
87: 49/2073600
88: 329/33177600
89: 1/276480
90: 1/921600
91: 1/4147200
92: 1/33177600

Dice: [6, 12, 12, 12, 12, 20, 20]
7: 1/1
8: 49766399/49766400
9: 6220799/6220800
10: 1382399/1382400
11: 414719/414720
12: 1658869/1658880
13: 691189/691200
14: 9952937/9953280
15: 1555093/1555200
16: 614321/614400
17: 1243877/1244160
18: 24873641/24883200
19: 690769/691200
20: 12429433/12441600
21: 6211543/6220800
22: 1839137/1843200
23: 1550243/1555200
24: 49542011/49766400
25: 686879/691200
26: 12335737/12441600
27: 6149977/6220800
28: 6127531/6220800
29: 243991/248832
30: 48527321/49766400
31: 1004189/1036800
32: 47812867/49766400
33: 5919529/6220800
34: 2926561/3110400
35: 1925557/2073600
36: 22758157/24883200
37: 5591191/6220800
38: 43849697/49766400
39: 535933/622080
40: 41803453/49766400
41: 1693193/2073600
42: 19688083/24883200
43: 4753199/6220800
44: 4573751/6220800
45: 876901/1244160
46: 33491767/49766400
47: 8191/12800
48: 15075587/24883200
49: 444017/777600
50: 6664193/12441600
51: 1/2
52: 5777407/12441600
53: 333583/777600
54: 9807613/24883200
55: 4609/12800
56: 16274633/49766400
57: 367259/1244160
58: 1647049/6220800
59: 1467601/6220800
60: 5195117/24883200
61: 380407/2073600
62: 7962947/49766400
63: 86147/622080
64: 5916703/49766400
65: 629609/6220800
66: 2125043/24883200
67: 148043/2073600
68: 183839/3110400
69: 301271/6220800
70: 1953533/49766400
71: 32611/1036800
72: 1239079/49766400
73: 4841/248832
74: 93269/6220800
75: 70823/6220800
76: 105863/12441600
77: 4321/691200
78: 224389/49766400
79: 4957/1555200
80: 4063/1843200
81: 9257/6220800
82: 12167/12441600
83: 431/691200
84: 9559/24883200
85: 283/1244160
86: 79/614400
87: 107/1555200
88: 343/9953280
89: 11/691200
90: 11/1658880
91: 1/414720
92: 1/1382400
93: 1/6220800
94: 1/49766400

Dice: [8, 12, 12, 12, 12, 20, 20]
7: 1/1
8: 66355199/66355200
9: 8294399/8294400
10: 1843199/1843200
11: 552959/552960
12: 2211829/2211840
13: 921589/921600
14: 5529457/5529600
15: 2764657/2764800
16: 33174383/33177600
17: 8292971/8294400
18: 16583947/16588800
19: 2763479/2764800
20: 33152573/33177600
21: 8284813/8294400
22: 1104013/1105920
23: 2757857/2764800
24: 3673211/3686400
25: 8252963/8294400
26: 16475203/16588800
27: 8217869/8294400
28: 512057/518400
29: 100763/102400
30: 3249421/3317760
31: 107695/110592
32: 5347639/5529600
33: 883943/921600
34: 15756331/16588800
35: 7788497/8294400
36: 30742243/33177600
37: 840949/921600
38: 4957837/5529600
39: 7289683/8294400
40: 5701591/6635520
41: 6948547/8294400
42: 1500991/1843200
43: 6545069/8294400
44: 25283869/33177600
45: 6082997/8294400
46: 259211/368640
47: 1856681/2764800
48: 14127799/22118400
49: 30973/51200
50: 4731043/8294400
51: 740033/1382400
52: 1/2
53: 642367/1382400
54: 3563357/8294400
55: 20227/51200
56: 7990601/22118400
57: 908119/2764800
58: 109429/368640
59: 2211403/8294400
60: 7893731/33177600
61: 1749331/8294400
62: 342209/1843200
63: 1345853/8294400
64: 933929/6635520
65: 1004717/8294400
66: 571763/5529600
67: 80651/921600
68: 2435357/33177600
69: 505903/8294400
70: 832469/16588800
71: 37657/921600
72: 181961/5529600
73: 2897/110592
74: 68339/3317760
75: 1637/102400
76: 6343/518400
77: 76531/8294400
78: 113597/16588800
79: 41437/8294400
80: 13189/3686400
81: 6943/2764800
82: 1907/1105920
83: 9587/8294400
84: 25027/33177600
85: 1321/2764800
86: 4853/16588800
87: 1429/8294400
88: 3217/33177600
89: 143/2764800
90: 143/5529600
91: 11/921600
92: 11/2211840
93: 1/552960
94: 1/1843200
95: 1/8294400
96: 1/66355200

Dice: [12, 12, 12, 12, 12, 20, 20]
7: 1/1
8: 99532799/99532800
9: 12441599/12441600
10: 2764799/2764800
11: 829439/829440
12: 3317749/3317760
13: 1382389/1382400
14: 8294257/8294400
15: 4147057/4147200
16: 2211697/2211840
17: 1244017/1244160
18: 12439169/12441600
19: 690979/691200
20: 99482417/99532800
21: 2486383/2488320
22: 36821/36864
23: 4140119/4147200
24: 33096431/33177600
25: 3189/3200
26: 2476517/2488320
27: 154519/155520
28: 98676947/99532800
29: 4100249/4147200
30: 24517333/24883200
31: 813803/829440
32: 19431163/19906560
33: 6034753/6220800
34: 3993551/4147200
35: 5938223/6220800
36: 18808727/19906560
37: 464653/497664
38: 7638547/8294400
39: 11278859/12441600
40: 88628429/99532800
41: 24125/27648
42: 265289/311040
43: 344813/414720
44: 1787549/2211840
45: 649589/829440
46: 3764761/4976640
47: 604027/829440
48: 386263/552960
49: 20507/30720
50: 351371/552960
51: 1498981/2488320
52: 11320279/19906560
53: 664949/1244160
54: 1/2
55: 579211/1244160
56: 8586281/19906560
57: 989339/2488320
58: 201589/552960
59: 10213/30720
60: 166697/552960
61: 225413/829440
62: 1211879/4976640
63: 179851/829440
64: 424291/2211840
65: 69907/414720
66: 45751/311040
67: 3523/27648
68: 10904371/99532800
69: 1162741/12441600
70: 655853/8294400
71: 33011/497664
72: 1097833/19906560
73: 282577/6220800
74: 153649/4147200
75: 186047/6220800
76: 475397/19906560
77: 15637/829440
78: 365867/24883200
79: 46951/4147200
80: 855853/99532800
81: 1001/155520
82: 11803/2488320
83: 11/3200
84: 81169/33177600
85: 7081/4147200
86: 43/36864
87: 1937/2488320
88: 50383/99532800
89: 221/691200
90: 2431/12441600
91: 143/1244160
92: 143/2211840
93: 143/4147200
94: 143/8294400
95: 11/1382400
96: 11/3317760
97: 1/829440
98: 1/2764800
99: 1/12441600
100: 1/99532800

Dice: [4, 4, 4, 4, 20, 20, 20]
7: 1/1
8: 2047999/2048000
9: 255999/256000
10: 511991/512000
11: 51197/51200
12: 1023837/1024000
13: 51181/51200
14: 511607/512000
15: 255631/256000
16: 2042879/2048000
17: 3187/3200
18: 159/160
19: 15853/16000
20: 987/1000
21: 3143/3200
22: 781/800
23: 3101/3200
24: 1921/2000
25: 15207/16000
26: 751/800
27: 2961/3200
28: 1863683/2048000
29: 228531/256000
30: 447131/512000
31: 43609/51200
32: 847849/1024000
33: 8213/10240
34: 79263/102400
35: 190499/256000
36: 1459203/2048000
37: 1087/1600
38: 129/200
39: 4877/8000
40: 1147/2000
41: 859/1600
42: 1/2
43: 741/1600
44: 853/2000
45: 3123/8000
46: 71/200
47: 513/1600
48: 588797/2048000
49: 65501/256000
50: 23137/102400
51: 2027/10240
52: 176151/1024000
53: 7591/51200
54: 64869/512000
55: 27469/256000
56: 184317/2048000
57: 239/3200
58: 49/800
59: 793/16000
60: 79/2000
61: 99/3200
62: 19/800
63: 57/3200
64: 13/1000
65: 147/16000
66: 1/160
67: 13/3200
68: 5121/2048000
69: 369/256000
70: 393/512000
71: 19/51200
72: 163/1024000
73: 3/51200
74: 9/512000
75: 1/256000
76: 1/2048000

Dice: [4, 4, 4, 6, 20, 20, 20]
7: 1/1
8: 3071999/3072000
9: 383999/384000
10: 255997/256000
11: 25599/25600
12: 1023891/1024000
13: 3999/4000
14: 3070393/3072000
15: 383617/384000
16: 255549/256000
17: 382879/384000
18: 3057919/3072000
19: 1589/1600
20: 11881/12000
21: 5917/6000
22: 157/160
23: 4681/4800
24: 2323/2400
25: 3837/4000
26: 11389/12000
27: 4499/4800
28: 945921/1024000
29: 348803/384000
30: 684251/768000
31: 111551/128000
32: 2610901/3072000
33: 4957/6000
34: 819527/1024000
35: 296621/384000
36: 114079/153600
37: 91041/128000
38: 2083843/3072000
39: 773/1200
40: 609/1000
41: 6877/12000
42: 161/300
43: 1/2
44: 139/300
45: 5123/12000
46: 391/1000
47: 427/1200
48: 988157/3072000
49: 36959/128000
50: 39521/153600
51: 87379/384000
52: 204473/1024000
53: 1043/6000
54: 461099/3072000
55: 16449/128000
56: 83749/768000
57: 35197/384000
58: 78079/1024000
59: 301/4800
60: 611/12000
61: 163/4000
62: 77/2400
63: 119/4800
64: 3/160
65: 83/6000
66: 119/12000
67: 11/1600
68: 14081/3072000
69: 1121/384000
70: 451/256000
71: 383/384000
72: 1607/3072000
73: 1/4000
74: 109/1024000
75: 1/25600
76: 3/256000
77: 1/384000
78: 1/3072000

Dice: [4, 4, 6, 6, 20, 20, 20]
7: 1/1
8: 4607999/4608000
9: 575999/576000
10: 127999/128000
11: 38399/38400
12: 575959/576000
13: 575903/576000
14: 2303179/2304000
15: 575603/576000
16: 575287/576000
17: 191599/192000
18: 382717/384000
19: 573059/576000
20: 4573439/4608000
21: 47489/48000
22: 739/750
23: 3137/3200
24: 1169/1200
25: 9281/9600
26: 479/500
27: 45491/48000
28: 479147/512000
29: 177061/192000
30: 348169/384000
31: 170731/192000
32: 33397/38400
33: 54279/64000
34: 211047/256000
35: 153337/192000
36: 148009/192000
37: 142327/192000
38: 90883/128000
39: 43347/64000
40: 329387/512000
41: 4867/8000
42: 859/1500
43: 103/192
44: 1/2
45: 89/192
46: 641/1500
47: 3133/8000
48: 182613/512000
49: 20653/64000
50: 37117/128000
51: 49673/192000
52: 43991/192000
53: 38663/192000
54: 44953/256000
55: 9721/64000
56: 5003/38400
57: 21269/192000
58: 35831/384000
59: 14939/192000
60: 32853/512000
61: 2509/48000
62: 21/500
63: 319/9600
64: 31/1200
65: 63/3200
66: 11/750
67: 511/48000
68: 34561/4608000
69: 2941/576000
70: 1283/384000
71: 401/192000
72: 713/576000
73: 397/576000
74: 821/2304000
75: 97/576000
76: 41/576000
77: 1/38400
78: 1/128000
79: 1/576000
80: 1/4608000

Dice: [4, 6, 6, 6, 20, 20, 20]
7: 1/1
8: 6911999/6912000
9: 863999/864000
10: 191999/192000
11: 57599/57600
12: 6911671/6912000
13: 431951/432000
14: 2303441/2304000
15: 287863/288000
16: 2302001/2304000
17: 431357/432000
18: 1379051/1382400
19: 57383/57600
20: 190919/192000
21: 856979/864000
22: 54667/55296
23: 1969/2000
24: 1567/1600
25: 1557/1600
26: 309/320
27: 3827/4000
28: 2180449/2304000
29: 269101/288000
30: 58921/64000
31: 17377/19200
32: 2044841/2304000
33: 124987/144000
34: 649999/768000
35: 78977/96000
36: 612079/768000
37: 22157/28800
38: 1704713/2304000
39: 13609/19200
40: 43281/64000
41: 185041/288000
42: 1400257/2304000
43: 2289/4000
44: 429/800
45: 1/2
46: 371/800
47: 1711/4000
48: 903743/2304000
49: 102959/288000
50: 20719/64000
51: 5591/19200
52: 599287/2304000
53: 6643/28800
54: 155921/768000
55: 17023/96000
56: 118001/768000
57: 19013/144000
58: 259159/2304000
59: 1823/19200
60: 5079/64000
61: 18899/288000
62: 123551/2304000
63: 173/4000
64: 11/320
65: 43/1600
66: 33/1600
67: 31/2000
68: 629/55296
69: 7021/864000
70: 1081/192000
71: 217/57600
72: 3349/1382400
73: 643/432000
74: 1999/2304000
75: 137/288000
76: 559/2304000
77: 49/432000
78: 329/6912000
79: 1/57600
80: 1/192000
81: 1/864000
82: 1/6912000

Dice: [6, 6, 6, 6, 20, 20, 20]
7: 1/1
8: 10367999/10368000
9: 1295999/1296000
10: 287999/288000
11: 86399/86400
12: 345589/345600
13: 143989/144000
14: 647893/648000
15: 51823/51840
16: 383767/384000
17: 129463/129600
18: 646867/648000
19: 71801/72000
20: 344149/345600
21: 21467/21600
22: 285479/288000
23: 160039/162000
24: 2039731/2073600
25: 3131/3200
26: 2333/2400
27: 9259/9600
28: 3302209/3456000
29: 1633/1728
30: 89561/96000
31: 2647/2880
32: 4163/4608
33: 1063/1200
34: 187109/216000
35: 4561/5400
36: 315259/384000
37: 68719/86400
38: 165851/216000
39: 35449/48000
40: 16303/23040
41: 19447/28800
42: 61601/96000
43: 262279/432000
44: 1976257/3456000
45: 2573/4800
46: 1/2
47: 2227/4800
48: 1479743/3456000
49: 169721/432000
50: 34399/96000
51: 9353/28800
52: 6737/23040
53: 12551/48000
54: 50149/216000
55: 17681/86400
56: 68741/384000
57: 839/5400
58: 28891/216000
59: 137/1200
60: 445/4608
61: 233/2880
62: 6439/96000
63: 95/1728
64: 153791/3456000
65: 341/9600
66: 67/2400
67: 69/3200
68: 33869/2073600
69: 1961/162000
70: 2521/288000
71: 133/21600
72: 1451/345600
73: 199/72000
74: 1133/648000
75: 137/129600
76: 233/384000
77: 17/51840
78: 107/648000
79: 11/144000
80: 11/345600
81: 1/86400
82: 1/288000
83: 1/1296000
84: 1/10368000

Dice: [4, 4, 4, 8, 20, 20, 20]
7: 1/1
8: 4095999/4096000
9: 511999/512000
10: 1023991/1024000
11: 102397/102400
12: 4095673/4096000
13: 15997/16000
14: 511799/512000
15: 3997/4000
16: 4090553/4096000
17: 102173/102400
18: 1020407/1024000
19: 509279/512000
20: 812851/819200
21: 633/640
22: 197/200
23: 15679/16000
24: 779/800
25: 15461/16000
26: 383/400
27: 3031/3200
28: 3830787/4096000
29: 471843/512000
30: 927771/1024000
31: 18197/20480
32: 3559381/4096000
33: 6779/8000
34: 421723/512000
35: 12767/16000
36: 3154901/4096000
37: 75849/102400
38: 145311/204800
39: 346563/512000
40: 2633731/4096000
41: 973/1600
42: 229/400
43: 4291/8000
44: 1/2
45: 3709/8000
46: 171/400
47: 627/1600
48: 1462269/4096000
49: 165437/512000
50: 59489/204800
51: 26551/102400
52: 941099/4096000
53: 3233/16000
54: 90277/512000
55: 1221/8000
56: 536619/4096000
57: 2283/20480
58: 96229/1024000
59: 40157/512000
60: 265213/4096000
61: 169/3200
62: 17/400
63: 539/16000
64: 21/800
65: 321/16000
66: 3/200
67: 7/640
68: 6349/819200
69: 2721/512000
70: 3593/1024000
71: 227/102400
72: 5447/4096000
73: 3/4000
74: 201/512000
75: 3/16000
76: 327/4096000
77: 3/102400
78: 9/1024000
79: 1/512000
80: 1/4096000

Dice: [4, 4, 6, 8, 20, 20, 20]
7: 1/1
8: 6143999/6144000
9: 767999/768000
10: 511997/512000
11: 51199/51200
12: 767959/768000
13: 767903/768000
14: 6142357/6144000
15: 383801/384000
16: 2046087/2048000
17: 766783/768000
18: 766039/768000
19: 764977/768000
20: 1527031/1536000
21: 761567/768000
22: 6072319/6144000
23: 1181/1200
24: 979/1000
25: 4669/4800
26: 5791/6000
27: 153/160
28: 5811203/6144000
29: 143431/153600
30: 471049/512000
31: 694573/768000
32: 681083/768000
33: 222017/256000
34: 1039117/1228800
35: 315637/384000
36: 1630827/2048000
37: 590371/768000
38: 567803/768000
39: 181327/256000
40: 1038107/1536000
41: 493187/768000
42: 1244161/2048000
43: 1373/2400
44: 3217/6000
45: 1/2
46: 2783/6000
47: 1027/2400
48: 803839/2048000
49: 274813/768000
50: 497893/1536000
51: 74673/256000
52: 200197/768000
53: 177629/768000
54: 417173/2048000
55: 68363/384000
56: 189683/1228800
57: 33983/256000
58: 86917/768000
59: 73427/768000
60: 40951/512000
61: 10169/153600
62: 332797/6144000
63: 7/160
64: 209/6000
65: 131/4800
66: 21/1000
67: 19/1200
68: 71681/6144000
69: 6433/768000
70: 8969/1536000
71: 3023/768000
72: 1961/768000
73: 1217/768000
74: 1913/2048000
75: 199/384000
76: 1643/6144000
77: 97/768000
78: 41/768000
79: 1/51200
80: 3/512000
81: 1/768000
82: 1/6144000

Dice: [4, 6, 6, 8, 20, 20, 20]
7: 1/1
8: 9215999/9216000
9: 1151999/1152000
10: 255999/256000
11: 76799/76800
12: 9215671/9216000
13: 575951/576000
14: 4607161/4608000
15: 287897/288000
16: 575623/576000
17: 11507/11520
18: 4599481/4608000
19: 574331/576000
20: 1835147/1843200
21: 25437/25600
22: 50739/51200
23: 1137719/1152000
24: 9062399/9216000
25: 15649/16000
26: 583/600
27: 46273/48000
28: 2933761/3072000
29: 362681/384000
30: 716041/768000
31: 23513/25600
32: 2773321/3072000
33: 169949/192000
34: 1329479/1536000
35: 81017/96000
36: 52499/64000
37: 76291/96000
38: 392813/512000
39: 141689/192000
40: 2172233/3072000
41: 51827/76800
42: 492553/768000
43: 233041/384000
44: 585387/1024000
45: 12863/24000
46: 1/2
47: 11137/24000
48: 438613/1024000
49: 150959/384000
50: 275447/768000
51: 24973/76800
52: 899767/3072000
53: 50311/192000
54: 119187/512000
55: 19709/96000
56: 11501/64000
57: 14983/96000
58: 206521/1536000
59: 22051/192000
60: 298679/3072000
61: 2087/25600
62: 51959/768000
63: 21319/384000
64: 138239/3072000
65: 1727/48000
66: 17/600
67: 351/16000
68: 153601/9216000
69: 14281/1152000
70: 461/51200
71: 163/25600
72: 8053/1843200
73: 1669/576000
74: 8519/4608000
75: 13/11520
76: 377/576000
77: 103/288000
78: 839/4608000
79: 49/576000
80: 329/9216000
81: 1/76800
82: 1/256000
83: 1/1152000
84: 1/9216000

Dice: [6, 6, 6, 8, 20, 20, 20]
7: 1/1
8: 13823999/13824000
9: 1727999/1728000
10: 383999/384000
11: 115199/115200
12: 460789/460800
13: 191989/192000
14: 4607429/4608000
15: 287929/288000
16: 6908837/6912000
17: 215827/216000
18: 6902789/6912000
19: 287389/288000
20: 4593029/4608000
21: 191077/192000
22: 457621/460800
23: 570451/576000
24: 378959/384000
25: 1697759/1728000
26: 540311/552960
27: 1553/1600
28: 4436929/4608000
29: 549361/576000
30: 120721/128000
31: 178733/192000
32: 140843/153600
33: 2307/2560
34: 1357051/1536000
35: 82931/96000
36: 1940539/2304000
37: 58943/72000
38: 365471/460800
39: 73511/96000
40: 1131451/1536000
41: 45179/64000
42: 103499/153600
43: 122981/192000
44: 77601/128000
45: 329041/576000
46: 2468737/4608000
47: 1/2
48: 2139263/4608000
49: 246959/576000
50: 50399/128000
51: 69019/192000
52: 50101/153600
53: 18821/64000
54: 404549/1536000
55: 22489/96000
56: 95329/460800
57: 13057/72000
58: 363461/2304000
59: 13069/96000
60: 178949/1536000
61: 253/2560
62: 12757/153600
63: 13267/192000
64: 7279/128000
65: 26639/576000
66: 171071/4608000
67: 47/1600
68: 12649/552960
69: 30241/1728000
70: 5041/384000
71: 5549/576000
72: 3179/460800
73: 923/192000
74: 14971/4608000
75: 611/288000
76: 9211/6912000
77: 173/216000
78: 3163/6912000
79: 71/288000
80: 571/4608000
81: 11/192000
82: 11/460800
83: 1/115200
84: 1/384000
85: 1/1728000
86: 1/13824000

Dice: [4, 4, 8, 8, 20, 20, 20]
7: 1/1
8: 8191999/8192000
9: 1023999/1024000
10: 2047991/2048000
11: 204797/204800
12: 1023959/1024000
13: 1023903/1024000
14: 2047589/2048000
15: 1023601/1024000
16: 4093113/4096000
17: 1022769/1024000
18: 408801/409600
19: 204179/204800
20: 1019351/1024000
21: 203453/204800
22: 2029047/2048000
23: 1011007/1024000
24: 1610547/1638400
25: 15643/16000
26: 777/800
27: 15417/16000
28: 7819267/8192000
29: 193319/204800
30: 1908251/2048000
31: 187977/204800
32: 923771/1024000
33: 905699/1024000
34: 1771217/2048000
35: 863469/1024000
36: 3357141/4096000
37: 813101/1024000
38: 1570001/2048000
39: 755107/1024000
40: 723579/1024000
41: 138121/204800
42: 262559/409600
43: 621187/1024000
44: 4681731/8192000
45: 4287/8000
46: 1/2
47: 3713/8000
48: 3510269/8192000
49: 402813/1024000
50: 147041/409600
51: 66679/204800
52: 300421/1024000
53: 268893/1024000
54: 477999/2048000
55: 210899/1024000
56: 738859/4096000
57: 160531/1024000
58: 276783/2048000
59: 118301/1024000
60: 100229/1024000
61: 16823/204800
62: 139749/2048000
63: 11481/204800
64: 372733/8192000
65: 583/16000
66: 23/800
67: 357/16000
68: 27853/1638400
69: 12993/1024000
70: 18953/2048000
71: 1347/204800
72: 4649/1024000
73: 621/204800
74: 799/409600
75: 1231/1024000
76: 2887/4096000
77: 399/1024000
78: 411/2048000
79: 97/1024000
80: 41/1024000
81: 3/204800
82: 9/2048000
83: 1/1024000
84: 1/8192000

Dice: [4, 6, 8, 8, 20, 20, 20]
7: 1/1
8: 12287999/12288000
9: 1535999/1536000
10: 1023997/1024000
11: 102399/102400
12: 12287671/12288000
13: 767951/768000
14: 12286321/12288000
15: 1535587/1536000
16: 12281933/12288000
17: 255781/256000
18: 4090223/4096000
19: 1532579/1536000
20: 2449277/2457600
21: 10189/10240
22: 4066877/4096000
23: 506939/512000
24: 121231/122880
25: 502869/512000
26: 12002303/12288000
27: 4657/4800
28: 11826179/12288000
29: 97613/102400
30: 2895643/3072000
31: 1428973/1536000
32: 3753289/4096000
33: 691603/768000
34: 10848173/12288000
35: 441949/512000
36: 2068229/2457600
37: 628211/768000
38: 3246003/4096000
39: 235051/307200
40: 9044909/12288000
41: 180593/256000
42: 8274907/12288000
43: 983341/1536000
44: 620553/1024000
45: 877187/1536000
46: 263291/491520
47: 1/2
48: 228229/491520
49: 658813/1536000
50: 403447/1024000
51: 552659/1536000
52: 4013093/12288000
53: 75407/256000
54: 3243091/12288000
55: 72149/307200
56: 849997/4096000
57: 139789/768000
58: 389371/2457600
59: 70051/512000
60: 1439827/12288000
61: 76397/768000
62: 342711/4096000
63: 107027/1536000
64: 176357/3072000
65: 4787/102400
66: 461821/12288000
67: 143/4800
68: 285697/12288000
69: 9131/512000
70: 1649/122880
71: 5061/512000
72: 29123/4096000
73: 51/10240
74: 8323/2457600
75: 3421/1536000
76: 5777/4096000
77: 219/256000
78: 6067/12288000
79: 413/1536000
80: 1679/12288000
81: 49/768000
82: 329/12288000
83: 1/102400
84: 3/1024000
85: 1/1536000
86: 1/12288000

Dice: [6, 6, 8, 8, 20, 20, 20]
7: 1/1
8: 18431999/18432000
9: 2303999/2304000
10: 511999/512000
11: 153599/153600
12: 614389/614400
13: 255989/256000
14: 9215143/9216000
15: 2303573/2304000
16: 18425639/18432000
17: 383767/384000
18: 4603321/4608000
19: 3067/3072
20: 18385703/18432000
21: 459073/460800
22: 9165991/9216000
23: 762127/768000
24: 3039689/3072000
25: 252377/256000
26: 60293/61440
27: 2248271/2304000
28: 8931841/9216000
29: 738257/768000
30: 487427/512000
31: 722879/768000
32: 2853541/3072000
33: 234193/256000
34: 2761561/3072000
35: 676763/768000
36: 5293273/6144000
37: 322531/384000
38: 1253959/1536000
39: 101241/128000
40: 938437/1228800
41: 564299/768000
42: 432709/614400
43: 516419/768000
44: 1964197/3072000
45: 154981/256000
46: 876553/1536000
47: 411233/768000
48: 1/2
49: 356767/768000
50: 659447/1536000
51: 101019/256000
52: 1107803/3072000
53: 251581/768000
54: 181691/614400
55: 203701/768000
56: 290363/1228800
57: 26759/128000
58: 282041/1536000
59: 61469/384000
60: 850727/6144000
61: 91237/768000
62: 310439/3072000
63: 21807/256000
64: 218459/3072000
65: 45121/768000
66: 24573/512000
67: 29743/768000
68: 284159/9216000
69: 55729/2304000
70: 1147/61440
71: 3623/256000
72: 32311/3072000
73: 5873/768000
74: 50009/9216000
75: 1727/460800
76: 46297/18432000
77: 5/3072
78: 4679/4608000
79: 233/384000
80: 6361/18432000
81: 427/2304000
82: 857/9216000
83: 11/256000
84: 11/614400
85: 1/153600
86: 1/512000
87: 1/2304000
88: 1/18432000

Dice: [4, 8, 8, 8, 20, 20, 20]
7: 1/1
8: 16383999/16384000
9: 2047999/2048000
10: 4095991/4096000
11: 409597/409600
12: 16383671/16384000
13: 1023951/1024000
14: 204779/204800
15: 1023793/1024000
16: 8188949/8192000
17: 127917/128000
18: 2045797/2048000
19: 127781/128000
20: 8170517/8192000
21: 1020017/1024000
22: 1018263/1024000
23: 1015951/1024000
24: 16207543/16384000
25: 2018417/2048000
26: 4018167/4096000
27: 399539/409600
28: 7936001/8192000
29: 1967747/2048000
30: 3897371/4096000
31: 1926573/2048000
32: 3041887/3276800
33: 936147/1024000
34: 919867/1024000
35: 901677/1024000
36: 282089/327680
37: 4297/5120
38: 1670609/2048000
39: 101161/128000
40: 6251457/8192000
41: 751853/1024000
42: 720699/1024000
43: 688147/1024000
44: 10470363/16384000
45: 1239341/2048000
46: 467359/819200
47: 1096451/2048000
48: 1/2
49: 951549/2048000
50: 351841/819200
51: 808659/2048000
52: 5913637/16384000
53: 335853/1024000
54: 303301/1024000
55: 272147/1024000
56: 1940543/8192000
57: 26839/128000
58: 377391/2048000
59: 823/5120
60: 45591/327680
61: 122323/1024000
62: 104133/1024000
63: 87853/1024000
64: 234913/3276800
65: 121427/2048000
66: 198629/4096000
67: 80253/2048000
68: 255999/8192000
69: 10061/409600
70: 77833/4096000
71: 29583/2048000
72: 176457/16384000
73: 8049/1024000
74: 5737/1024000
75: 3983/1024000
76: 21483/8192000
77: 219/128000
78: 2203/2048000
79: 83/128000
80: 3051/8192000
81: 207/1024000
82: 21/204800
83: 49/1024000
84: 329/16384000
85: 3/409600
86: 9/4096000
87: 1/2048000
88: 1/16384000

Dice: [6, 8, 8, 8, 20, 20, 20]
7: 1/1
8: 24575999/24576000
9: 3071999/3072000
10: 2047997/2048000
11: 204799/204800
12: 819189/819200
13: 1023967/1024000
14: 4914857/4915200
15: 767893/768000
16: 2047467/2048000
17: 767647/768000
18: 2455699/2457600
19: 511361/512000
20: 4088053/4096000
21: 255253/256000
22: 81571/81920
23: 763349/768000
24: 4873897/4915200
25: 1012319/1024000
26: 12101467/12288000
27: 3011057/3072000
28: 7983093/8192000
29: 495467/512000
30: 62893/65536
31: 973071/1024000
32: 11543023/12288000
33: 2847401/3072000
34: 1495383/1638400
35: 137741/153600
36: 5400253/6144000
37: 219969/256000
38: 10293091/12288000
39: 1250551/1536000
40: 3231009/4096000
41: 116999/153600
42: 4503229/6144000
43: 179883/256000
44: 3298309/4915200
45: 392149/614400
46: 2476197/4096000
47: 1751341/3072000
48: 13152361/24576000
49: 1/2
50: 11423639/24576000
51: 1320659/3072000
52: 1619803/4096000
53: 222251/614400
54: 1616891/4915200
55: 76117/256000
56: 1640771/6144000
57: 36601/153600
58: 864991/4096000
59: 285449/1536000
60: 1994909/12288000
61: 36031/256000
62: 743747/6144000
63: 15859/153600
64: 143017/1638400
65: 224599/3072000
66: 744977/12288000
67: 50929/1024000
68: 2643/65536
69: 16533/512000
70: 208907/8192000
71: 60943/3072000
72: 186533/12288000
73: 11681/1024000
74: 41303/4915200
75: 4651/768000
76: 349/81920
77: 747/256000
78: 7947/4096000
79: 639/512000
80: 1901/2457600
81: 353/768000
82: 533/2048000
83: 107/768000
84: 343/4915200
85: 33/1024000
86: 11/819200
87: 1/204800
88: 3/2048000
89: 1/3072000
90: 1/24576000

Dice: [8, 8, 8, 8, 20, 20, 20]
7: 1/1
8: 32767999/32768000
9: 4095999/4096000
10: 8191991/8192000
11: 819197/819200
12: 3276767/3276800
13: 4095901/4096000
14: 8191571/8192000
15: 4095571/4096000
16: 32761569/32768000
17: 2047287/2048000
18: 4093587/4096000
19: 2046041/2048000
20: 8179733/8192000
21: 2043353/2048000
22: 4082323/4096000
23: 2038199/2048000
24: 32548577/32768000
25: 4058451/4096000
26: 8091219/8192000
27: 4029597/4096000
28: 6415909/6553600
29: 996541/1024000
30: 3957769/4096000
31: 981067/1024000
32: 31081437/32768000
33: 3840041/4096000
34: 7576839/8192000
35: 3729927/4096000
36: 5862777/6553600
37: 1795547/2048000
38: 3510343/4096000
39: 342193/409600
40: 6651841/8192000
41: 1611253/2048000
42: 3112007/4096000
43: 299487/409600
44: 22973277/32768000
45: 2743047/4096000
46: 5219591/8192000
47: 494549/819200
48: 18662363/32768000
49: 219089/409600
50: 1/2
51: 190511/409600
52: 14105637/32768000
53: 324651/819200
54: 2972409/8192000
55: 1352953/4096000
56: 9794723/32768000
57: 110113/409600
58: 983993/4096000
59: 436747/2048000
60: 1540159/8192000
61: 67407/409600
62: 585657/4096000
63: 252453/2048000
64: 690823/6553600
65: 366073/4096000
66: 615161/8192000
67: 255959/4096000
68: 1686563/32768000
69: 42933/1024000
70: 138231/4096000
71: 27459/1024000
72: 137691/6553600
73: 66403/4096000
74: 100781/8192000
75: 37549/4096000
76: 219423/32768000
77: 9801/2048000
78: 13677/4096000
79: 4647/2048000
80: 12267/8192000
81: 1959/2048000
82: 2413/4096000
83: 713/2048000
84: 6431/32768000
85: 429/4096000
86: 429/8192000
87: 99/4096000
88: 33/3276800
89: 3/819200
90: 9/8192000
91: 1/4096000
92: 1/32768000

Dice: [4, 4, 4, 12, 20, 20, 20]
7: 1/1
8: 6143999/6144000
9: 767999/768000
10: 511997/512000
11: 51199/51200
12: 2047891/2048000
13: 7999/8000
14: 255933/256000
15: 1999/2000
16: 255773/256000
17: 47929/48000
18: 766199/768000
19: 15943/16000
20: 6111929/6144000
21: 152461/153600
22: 506749/512000
23: 252453/256000
24: 2010453/2048000
25: 15619/16000
26: 2327/2400
27: 46163/48000
28: 1950721/2048000
29: 723283/768000
30: 1427611/1536000
31: 46867/51200
32: 1105297/1228800
33: 42323/48000
34: 220681/256000
35: 40339/48000
36: 627323/768000
37: 6331/8000
38: 586843/768000
39: 4411/6000
40: 1443143/2048000
41: 103337/153600
42: 196511/307200
43: 155041/256000
44: 3507203/6144000
45: 12853/24000
46: 1/2
47: 11147/24000
48: 2636797/6144000
49: 100959/256000
50: 110689/307200
51: 50263/153600
52: 604857/2048000
53: 1589/6000
54: 181157/768000
55: 1669/8000
56: 140677/768000
57: 7661/48000
58: 35319/256000
59: 5677/48000
60: 123503/1228800
61: 4333/51200
62: 108389/1536000
63: 44717/768000
64: 97279/2048000
65: 1837/48000
66: 73/2400
67: 381/16000
68: 37547/2048000
69: 3547/256000
70: 5251/512000
71: 1139/153600
72: 32071/6144000
73: 57/16000
74: 1801/768000
75: 71/48000
76: 227/256000
77: 1/2000
78: 67/256000
79: 1/8000
80: 109/2048000
81: 1/51200
82: 3/512000
83: 1/768000
84: 1/6144000

Dice: [4, 4, 6, 12, 20, 20, 20]
7: 1/1
8: 9215999/9216000
9: 1151999/1152000
10: 255999/256000
11: 76799/76800
12: 1151959/1152000
13: 1151903/1152000
14: 9214357/9216000
15: 575801/576000
16: 460513/460800
17: 191797/192000
18: 2300069/2304000
19: 574481/576000
20: 9179797/9216000
21: 1145471/1152000
22: 1142839/1152000
23: 379819/384000
24: 756797/768000
25: 1129919/1152000
26: 8987903/9216000
27: 4649/4800
28: 2950913/3072000
29: 365281/384000
30: 722249/768000
31: 356351/384000
32: 350921/384000
33: 344801/384000
34: 901241/1024000
35: 165199/192000
36: 214729/256000
37: 156529/192000
38: 606619/768000
39: 48813/64000
40: 751481/1024000
41: 54029/76800
42: 85987/128000
43: 245327/384000
44: 154883/256000
45: 219041/384000
46: 328909/614400
47: 1/2
48: 285491/614400
49: 164959/384000
50: 101117/256000
51: 138673/384000
52: 42013/128000
53: 22771/76800
54: 272519/1024000
55: 15187/64000
56: 161381/768000
57: 35471/192000
58: 41271/256000
59: 26801/192000
60: 122759/1024000
61: 39199/384000
62: 33079/384000
63: 27649/384000
64: 45751/768000
65: 18719/384000
66: 121087/3072000
67: 151/4800
68: 228097/9216000
69: 22081/1152000
70: 11203/768000
71: 4181/384000
72: 9161/1152000
73: 6529/1152000
74: 36203/9216000
75: 1519/576000
76: 3931/2304000
77: 203/192000
78: 287/460800
79: 199/576000
80: 1643/9216000
81: 97/1152000
82: 41/1152000
83: 1/76800
84: 1/256000
85: 1/1152000
86: 1/9216000

Dice: [4, 6, 6, 12, 20, 20, 20]
7: 1/1
8: 13823999/13824000
9: 1727999/1728000
10: 383999/384000
11: 115199/115200
12: 13823671/13824000
13: 863951/864000
14: 6911161/6912000
15: 431897/432000
16: 4605989/4608000
17: 1726699/1728000
18: 6903463/6912000
19: 1724647/1728000
20: 4594469/4608000
21: 215071/216000
22: 6869689/6912000
23: 856661/864000
24: 2732939/2764800
25: 22687/23040
26: 376319/384000
27: 1683611/1728000
28: 6687361/6912000
29: 552637/576000
30: 121601/128000
31: 36061/38400
32: 4269641/4608000
33: 262759/288000
34: 2065223/2304000
35: 31627/36000
36: 1319131/1536000
37: 19289/23040
38: 1874777/2304000
39: 454109/576000
40: 1169371/1536000
41: 105493/144000
42: 1618247/2304000
43: 193189/288000
44: 2940233/4608000
45: 23209/38400
46: 72961/128000
47: 308233/576000
48: 1/2
49: 267767/576000
50: 55039/128000
51: 15191/38400
52: 1667767/4608000
53: 94811/288000
54: 685753/2304000
55: 38507/144000
56: 366629/1536000
57: 121891/576000
58: 429223/2304000
59: 3751/23040
60: 216869/1536000
61: 4373/36000
62: 238777/2304000
63: 25241/288000
64: 338359/4608000
65: 2339/38400
66: 6399/128000
67: 23363/576000
68: 224639/6912000
69: 44389/1728000
70: 7681/384000
71: 353/23040
72: 31861/2764800
73: 7339/864000
74: 42311/6912000
75: 929/216000
76: 13531/4608000
77: 3353/1728000
78: 8537/6912000
79: 1301/1728000
80: 2011/4608000
81: 103/432000
82: 839/6912000
83: 49/864000
84: 329/13824000
85: 1/115200
86: 1/384000
87: 1/1728000
88: 1/13824000

Dice: [6, 6, 6, 12, 20, 20, 20]
7: 1/1
8: 20735999/20736000
9: 2591999/2592000
10: 575999/576000
11: 172799/172800
12: 691189/691200
13: 287989/288000
14: 6911429/6912000
15: 431929/432000
16: 2303297/2304000
17: 518123/518400
18: 10358771/10368000
19: 287591/288000
20: 10345379/10368000
21: 516719/518400
22: 2293217/2304000
23: 429157/432000
24: 6849509/6912000
25: 284497/288000
26: 680101/691200
27: 169199/172800
28: 6727957/6912000
29: 1252531/1296000
30: 19871243/20736000
31: 54649/57600
32: 216059/230400
33: 5921/6400
34: 2098651/2304000
35: 25771/28800
36: 224501/256000
37: 148129/172800
38: 2887933/3456000
39: 77969/96000
40: 2719597/3456000
41: 131317/172800
42: 187221/256000
43: 100979/144000
44: 1543291/2304000
45: 20393/32000
46: 27823/46080
47: 32809/57600
48: 3697379/6912000
49: 1/2
50: 3214621/6912000
51: 24791/57600
52: 18257/46080
53: 11607/32000
54: 760709/2304000
55: 43021/144000
56: 68779/256000
57: 41483/172800
58: 736403/3456000
59: 18031/96000
60: 568067/3456000
61: 24671/172800
62: 31499/256000
63: 3029/28800
64: 205349/2304000
65: 479/6400
66: 14341/230400
67: 2951/57600
68: 864757/20736000
69: 43469/1296000
70: 184043/6912000
71: 3601/172800
72: 11099/691200
73: 3503/288000
74: 62491/6912000
75: 2843/432000
76: 10783/2304000
77: 1681/518400
78: 22621/10368000
79: 409/288000
80: 9229/10368000
81: 277/518400
82: 703/2304000
83: 71/432000
84: 571/6912000
85: 11/288000
86: 11/691200
87: 1/172800
88: 1/576000
89: 1/2592000
90: 1/20736000

Dice: [4, 4, 8, 12, 20, 20, 20]
7: 1/1
8: 12287999/12288000
9: 1535999/1536000
10: 1023997/1024000
11: 102399/102400
12: 1535959/1536000
13: 1535903/1536000
14: 1023863/1024000
15: 511867/512000
16: 163763/163840
17: 95923/96000
18: 766999/768000
19: 6387/6400
20: 12250481/12288000
21: 509723/512000
22: 610529/614400
23: 507541/512000
24: 1517911/1536000
25: 1512017/1536000
26: 3009527/3072000
27: 1495967/1536000
28: 1980587/2048000
29: 294599/307200
30: 972297/1024000
31: 1441613/1536000
32: 1422331/1536000
33: 466817/512000
34: 2751697/3072000
35: 1348429/1536000
36: 3515023/4096000
37: 80309/96000
38: 624443/768000
39: 25209/32000
40: 9348013/12288000
41: 1124461/1536000
42: 718747/1024000
43: 1029731/1536000
44: 979579/1536000
45: 309327/512000
46: 350111/614400
47: 821827/1536000
48: 1/2
49: 714173/1536000
50: 264289/614400
51: 202673/512000
52: 556421/1536000
53: 506269/1536000
54: 305253/1024000
55: 411539/1536000
56: 2939987/12288000
57: 6791/32000
58: 143557/768000
59: 15691/96000
60: 580977/4096000
61: 187571/1536000
62: 320303/3072000
63: 45183/512000
64: 113669/1536000
65: 94387/1536000
66: 51703/1024000
67: 12601/307200
68: 67413/2048000
69: 40033/1536000
70: 62473/3072000
71: 23983/1536000
72: 18089/1536000
73: 4459/512000
74: 3871/614400
75: 2277/512000
76: 37519/12288000
77: 13/6400
78: 1001/768000
79: 77/96000
80: 77/163840
81: 133/512000
82: 137/1024000
83: 97/1536000
84: 41/1536000
85: 1/102400
86: 3/1024000
87: 1/1536000
88: 1/12288000

Dice: [4, 6, 8, 12, 20, 20, 20]
7: 1/1
8: 18431999/18432000
9: 2303999/2304000
10: 511999/512000
11: 153599/153600
12: 18431671/18432000
13: 1151951/1152000
14: 18430321/18432000
15: 2303587/2304000
16: 4606483/4608000
17: 460537/460800
18: 6138211/6144000
19: 575141/576000
20: 6130019/6144000
21: 2296253/2304000
22: 4585747/4608000
23: 2288419/2304000
24: 18261361/18432000
25: 227539/230400
26: 3626123/3686400
27: 751739/768000
28: 5978101/6144000
29: 1112881/1152000
30: 17654891/18432000
31: 242757/256000
32: 1919427/2048000
33: 118347/128000
34: 5592719/6144000
35: 686749/768000
36: 1346029/1536000
37: 657859/768000
38: 5130199/6144000
39: 155819/192000
40: 1610397/2048000
41: 194401/256000
42: 1122541/1536000
43: 107641/153600
44: 1371013/2048000
45: 81531/128000
46: 3708233/6144000
47: 437327/768000
48: 3286051/6144000
49: 1/2
50: 2857949/6144000
51: 330673/768000
52: 2435767/6144000
53: 46469/128000
54: 676987/2048000
55: 45959/153600
56: 413459/1536000
57: 61599/256000
58: 437603/2048000
59: 36181/192000
60: 1013801/6144000
61: 110141/768000
62: 189971/1536000
63: 81251/768000
64: 551281/6144000
65: 9653/128000
66: 128573/2048000
67: 13243/256000
68: 777109/18432000
69: 39119/1152000
70: 165899/6144000
71: 16261/768000
72: 60277/3686400
73: 2861/230400
74: 170639/18432000
75: 15581/2304000
76: 22253/4608000
77: 7747/2304000
78: 13981/6144000
79: 859/576000
80: 5789/6144000
81: 263/460800
82: 1517/4608000
83: 413/2304000
84: 1679/18432000
85: 49/1152000
86: 329/18432000
87: 1/153600
88: 1/512000
89: 1/2304000
90: 1/18432000

Dice: [6, 6, 8, 12, 20, 20, 20]
7: 1/1
8: 27647999/27648000
9: 3455999/3456000
10: 767999/768000
11: 230399/230400
12: 921589/921600
13: 383989/384000
14: 13823143/13824000
15: 3455573/3456000
16: 13820819/13824000
17: 3454601/3456000
18: 431707/432000
19: 230149/230400
20: 4600229/4608000
21: 1149089/1152000
22: 430411/432000
23: 3437969/3456000
24: 13724051/13824000
25: 3422093/3456000
26: 13643431/13824000
27: 377437/384000
28: 9013139/9216000
29: 279953/288000
30: 370561/384000
31: 826589/864000
32: 5236729/5529600
33: 23959/25600
34: 4254041/4608000
35: 1046947/1152000
36: 4113517/4608000
37: 1007743/1152000
38: 985/1152
39: 320047/384000
40: 1244251/1536000
41: 301399/384000
42: 109157/144000
43: 840487/1152000
44: 3224173/4608000
45: 770107/1152000
46: 586309/921600
47: 77179/128000
48: 5244233/9216000
49: 307951/576000
50: 1/2
51: 268049/576000
52: 3971767/9216000
53: 50821/128000
54: 335291/921600
55: 381893/1152000
56: 1383827/4608000
57: 311513/1152000
58: 34843/144000
59: 82601/384000
60: 291749/1536000
61: 63953/384000
62: 167/1152
63: 144257/1152000
64: 494483/4608000
65: 105053/1152000
66: 353959/4608000
67: 1641/25600
68: 292871/5529600
69: 37411/864000
70: 13439/384000
71: 8047/288000
72: 202861/9216000
73: 6563/384000
74: 180569/13824000
75: 33907/3456000
76: 99949/13824000
77: 18031/3456000
78: 1589/432000
79: 2911/1152000
80: 7771/4608000
81: 251/230400
82: 293/432000
83: 1399/3456000
84: 3181/13824000
85: 427/3456000
86: 857/13824000
87: 11/384000
88: 11/921600
89: 1/230400
90: 1/768000
91: 1/3456000
92: 1/27648000

Dice: [4, 8, 8, 12, 20, 20, 20]
7: 1/1
8: 24575999/24576000
9: 3071999/3072000
10: 2047997/2048000
11: 204799/204800
12: 24575671/24576000
13: 1535951/1536000
14: 102393/102400
15: 511931/512000
16: 24569897/24576000
17: 1023557/1024000
18: 1227917/1228800
19: 1022827/1024000
20: 12266353/12288000
21: 3063937/3072000
22: 6120641/6144000
23: 1018501/1024000
24: 24393769/24576000
25: 1520593/1536000
26: 505181/512000
27: 301859/307200
28: 2402681/2457600
29: 248751/256000
30: 2963209/3072000
31: 146879/153600
32: 2326217/2457600
33: 1436723/1536000
34: 1417147/1536000
35: 465007/512000
36: 21923717/24576000
37: 537079/614400
38: 1749823/2048000
39: 2558461/3072000
40: 9946541/12288000
41: 160627/204800
42: 4654013/6144000
43: 2239763/3072000
44: 1145643/1638400
45: 1026221/1536000
46: 976699/1536000
47: 308593/512000
48: 1747579/3072000
49: 821077/1536000
50: 1/2
51: 714923/1536000
52: 1324421/3072000
53: 203407/512000
54: 559301/1536000
55: 509779/1536000
56: 492757/1638400
57: 832237/3072000
58: 1489987/6144000
59: 44173/204800
60: 2341459/12288000
61: 513539/3072000
62: 298177/2048000
63: 77321/614400
64: 2652283/24576000
65: 46993/512000
66: 118853/1536000
67: 99277/1536000
68: 131383/2457600
69: 6721/153600
70: 108791/3072000
71: 7249/256000
72: 54919/2457600
73: 5341/307200
74: 6819/512000
75: 15407/1536000
76: 182231/24576000
77: 5499/1024000
78: 23359/6144000
79: 8063/3072000
80: 21647/12288000
81: 1173/1024000
82: 883/1228800
83: 443/1024000
84: 6103/24576000
85: 69/512000
86: 7/102400
87: 49/1536000
88: 329/24576000
89: 1/204800
90: 3/2048000
91: 1/3072000
92: 1/24576000

Dice: [6, 8, 8, 12, 20, 20, 20]
7: 1/1
8: 36863999/36864000
9: 4607999/4608000
10: 1023999/1024000
11: 307199/307200
12: 1228789/1228800
13: 511989/512000
14: 7372457/7372800
15: 1151893/1152000
16: 36857603/36864000
17: 511843/512000
18: 18422477/18432000
19: 1534717/1536000
20: 36815989/36864000
21: 2299469/2304000
22: 36757621/36864000
23: 509887/512000
24: 18325709/18432000
25: 1523881/1536000
26: 36473603/36864000
27: 1135909/1152000
28: 2262229/2304000
29: 15629/16000
30: 5964251/6144000
31: 148001/153600
32: 5868191/6144000
33: 544501/576000
34: 4304131/4608000
35: 70751/76800
36: 11142397/12288000
37: 1367941/1536000
38: 1787153/2048000
39: 17467/20480
40: 10215307/12288000
41: 620531/768000
42: 9620363/12288000
43: 1161481/1536000
44: 298141/409600
45: 357463/512000
46: 2732799/4096000
47: 243883/384000
48: 739909/1228800
49: 145531/256000
50: 3283091/6144000
51: 1/2
52: 2860909/6144000
53: 110469/256000
54: 488891/1228800
55: 140117/384000
56: 1363201/4096000
57: 154537/512000
58: 111459/409600
59: 374519/1536000
60: 2667637/12288000
61: 147469/768000
62: 2072693/12288000
63: 3013/20480
64: 260847/2048000
65: 168059/1536000
66: 1145603/12288000
67: 6049/76800
68: 303869/4608000
69: 31499/576000
70: 275809/6144000
71: 5599/153600
72: 179749/6144000
73: 371/16000
74: 41771/2304000
75: 16091/1152000
76: 390397/36864000
77: 12119/1536000
78: 106291/18432000
79: 2113/512000
80: 106379/36864000
81: 4531/2304000
82: 48011/36864000
83: 1283/1536000
84: 9523/18432000
85: 157/512000
86: 6397/36864000
87: 107/1152000
88: 343/7372800
89: 11/512000
90: 11/1228800
91: 1/307200
92: 1/1024000
93: 1/4608000
94: 1/36864000

Dice: [8, 8, 8, 12, 20, 20, 20]
7: 1/1
8: 49151999/49152000
9: 6143999/6144000
10: 4095997/4096000
11: 409599/409600
12: 1638389/1638400
13: 2047967/2048000
14: 4095857/4096000
15: 2047857/2048000
16: 511933/512000
17: 6142573/6144000
18: 2456633/2457600
19: 2046689/2048000
20: 49102603/49152000
21: 383413/384000
22: 2043371/2048000
23: 127583/128000
24: 652353/655360
25: 2035041/2048000
26: 12182813/12288000
27: 6074093/6144000
28: 16140193/16384000
29: 3013099/3072000
30: 1198859/1228800
31: 198539/204800
32: 2364449/2457600
33: 2929229/3072000
34: 1932501/2048000
35: 2863811/3072000
36: 45185887/49152000
37: 1852947/2048000
38: 10918057/12288000
39: 5348503/6144000
40: 13938933/16384000
41: 12737/15360
42: 4951741/6144000
43: 99963/128000
44: 37077727/49152000
45: 4461847/6144000
46: 2853603/4096000
47: 4091321/6144000
48: 31165277/49152000
49: 307883/512000
50: 1744699/3072000
51: 820351/1536000
52: 1/2
53: 715649/1536000
54: 1327301/3072000
55: 204117/512000
56: 17986723/49152000
57: 2052679/6144000
58: 1242397/4096000
59: 1682153/6144000
60: 12074273/49152000
61: 28037/128000
62: 1192259/6144000
63: 2623/15360
64: 2445067/16384000
65: 795497/6144000
66: 1369943/12288000
67: 195053/2048000
68: 3966113/49152000
69: 208189/3072000
70: 115499/2048000
71: 142771/3072000
72: 93151/2457600
73: 6261/204800
74: 29941/1228800
75: 58901/3072000
76: 243807/16384000
77: 69907/6144000
78: 105187/12288000
79: 12959/2048000
80: 3007/655360
81: 417/128000
82: 4629/2048000
83: 587/384000
84: 49397/49152000
85: 1311/2048000
86: 967/2457600
87: 1427/6144000
88: 67/512000
89: 143/2048000
90: 143/4096000
91: 33/2048000
92: 11/1638400
93: 1/409600
94: 3/4096000
95: 1/6144000
96: 1/49152000

Dice: [4, 4, 12, 12, 20, 20, 20]
7: 1/1
8: 18431999/18432000
9: 2303999/2304000
10: 511999/512000
11: 153599/153600
12: 2303959/2304000
13: 2303903/2304000
14: 1535863/1536000
15: 767867/768000
16: 1151639/1152000
17: 255863/256000
18: 4603987/4608000
19: 153391/153600
20: 9197077/9216000
21: 765691/768000
22: 4588243/4608000
23: 254471/256000
24: 228523/230400
25: 253209/256000
26: 60559/61440
27: 2261231/2304000
28: 17995451/18432000
29: 7451/7680
30: 739523/768000
31: 549743/576000
32: 17410007/18432000
33: 238907/256000
34: 1413659/1536000
35: 231893/256000
36: 341609/384000
37: 669409/768000
38: 1308461/1536000
39: 637679/768000
40: 826361/1024000
41: 200181/256000
42: 386703/512000
43: 111677/153600
44: 267817/384000
45: 511919/768000
46: 974747/1536000
47: 92429/153600
48: 3491143/6144000
49: 68381/128000
50: 1/2
51: 59619/128000
52: 2652857/6144000
53: 61171/153600
54: 561253/1536000
55: 256081/768000
56: 116183/384000
57: 41923/153600
58: 125297/512000
59: 55819/256000
60: 197639/1024000
61: 130321/768000
62: 227539/1536000
63: 98591/768000
64: 42391/384000
65: 24107/256000
66: 122341/1536000
67: 17093/256000
68: 1021993/18432000
69: 26257/576000
70: 28477/768000
71: 229/7680
72: 436549/18432000
73: 42769/2304000
74: 881/61440
75: 2791/256000
76: 1877/230400
77: 1529/256000
78: 19757/4608000
79: 2309/768000
80: 18923/9216000
81: 209/153600
82: 4013/4608000
83: 137/256000
84: 361/1152000
85: 133/768000
86: 137/1536000
87: 97/2304000
88: 41/2304000
89: 1/153600
90: 1/512000
91: 1/2304000
92: 1/18432000

Dice: [4, 6, 12, 12, 20, 20, 20]
7: 1/1
8: 27647999/27648000
9: 3455999/3456000
10: 767999/768000
11: 230399/230400
12: 27647671/27648000
13: 1727951/1728000
14: 27646321/27648000
15: 3455587/3456000
16: 9213977/9216000
17: 863671/864000
18: 9210199/9216000
19: 3452549/3456000
20: 27605729/27648000
21: 862039/864000
22: 5511469/5529600
23: 3440021/3456000
24: 9157207/9216000
25: 856543/864000
26: 9110297/9216000
27: 3404179/3456000
28: 271141/276480
29: 3371233/3456000
30: 26797603/27648000
31: 110809/115200
32: 8785469/9216000
33: 652033/691200
34: 1288303/1382400
35: 1058669/1152000
36: 2778343/3072000
37: 51157/57600
38: 534613/614400
39: 979627/1152000
40: 7638559/9216000
41: 232001/288000
42: 7193887/9216000
43: 868603/1152000
44: 2229929/3072000
45: 200561/288000
46: 2044903/3072000
47: 146041/230400
48: 2770247/4608000
49: 130829/230400
50: 4921637/9216000
51: 1/2
52: 4294363/9216000
53: 99571/230400
54: 1837753/4608000
55: 84359/230400
56: 1027097/3072000
57: 87439/288000
58: 842071/3072000
59: 283397/1152000
60: 2022113/9216000
61: 55999/288000
62: 1577441/9216000
63: 172373/1152000
64: 79787/614400
65: 6443/57600
66: 293657/3072000
67: 93331/1152000
68: 94097/1382400
69: 39167/691200
70: 430531/9216000
71: 4391/115200
72: 850397/27648000
73: 84767/3456000
74: 5339/276480
75: 51821/3456000
76: 105703/9216000
77: 7457/864000
78: 58793/9216000
79: 15979/3456000
80: 18131/5529600
81: 1961/864000
82: 42271/27648000
83: 3451/3456000
84: 5801/9216000
85: 329/864000
86: 2023/9216000
87: 413/3456000
88: 1679/27648000
89: 49/1728000
90: 329/27648000
91: 1/230400
92: 1/768000
93: 1/3456000
94: 1/27648000

Dice: [6, 6, 12, 12, 20, 20, 20]
7: 1/1
8: 41471999/41472000
9: 5183999/5184000
10: 1151999/1152000
11: 345599/345600
12: 1382389/1382400
13: 575989/576000
14: 20735143/20736000
15: 5183573/5184000
16: 4607293/4608000
17: 25913/25920
18: 10363303/10368000
19: 9593/9600
20: 8285009/8294400
21: 5175169/5184000
22: 2298257/2304000
23: 5165557/5184000
24: 41266069/41472000
25: 23837/24000
26: 10273447/10368000
27: 256079/259200
28: 1700951/1728000
29: 1270001/1296000
30: 4041977/4147200
31: 92957/96000
32: 664139/691200
33: 164533/172800
34: 1302391/1382400
35: 1206113/1296000
36: 2378489/2592000
37: 78019/86400
38: 3064409/3456000
39: 1303/1500
40: 11735147/13824000
41: 285943/345600
42: 205861/256000
43: 1346519/1728000
44: 10405739/13824000
45: 34787/48000
46: 2403161/3456000
47: 14359/21600
48: 4376173/6912000
49: 172979/288000
50: 3922247/6912000
51: 76873/144000
52: 1/2
53: 67127/144000
54: 2989753/6912000
55: 115021/288000
56: 2535827/6912000
57: 7241/21600
58: 1052839/3456000
59: 13213/48000
60: 3418261/13824000
61: 381481/1728000
62: 50139/256000
63: 59657/345600
64: 2088853/13824000
65: 197/1500
66: 391591/3456000
67: 8381/86400
68: 213511/2592000
69: 89887/1296000
70: 80009/1382400
71: 8267/172800
72: 27061/691200
73: 3043/96000
74: 105223/4147200
75: 25999/1296000
76: 27049/1728000
77: 3121/259200
78: 94553/10368000
79: 163/24000
80: 205931/41472000
81: 18443/5184000
82: 5743/2304000
83: 8831/5184000
84: 9391/8294400
85: 7/9600
86: 4697/10368000
87: 7/25920
88: 707/4608000
89: 427/5184000
90: 857/20736000
91: 11/576000
92: 11/1382400
93: 1/345600
94: 1/1152000
95: 1/5184000
96: 1/41472000

Dice: [4, 8, 12, 12, 20, 20, 20]
7: 1/1
8: 36863999/36864000
9: 4607999/4608000
10: 1023999/1024000
11: 307199/307200
12: 36863671/36864000
13: 2303951/2304000
14: 153593/153600
15: 255977/256000
16: 4607237/4608000
17: 460667/460800
18: 1151447/1152000
19: 767411/768000
20: 18410189/18432000
21: 9583/9600
22: 919223/921600
23: 2989/3000
24: 18337997/18432000
25: 762659/768000
26: 1141271/1152000
27: 455147/460800
28: 36277291/36864000
29: 1504727/1536000
30: 2993021/3072000
31: 4460203/4608000
32: 17702729/18432000
33: 1461821/1536000
34: 192847/204800
35: 4286009/4608000
36: 33807239/36864000
37: 138613/153600
38: 68053/76800
39: 666679/768000
40: 1042391/1228800
41: 19843/24000
42: 246857/307200
43: 12459/16000
44: 4621619/6144000
45: 556231/768000
46: 266857/384000
47: 102053/153600
48: 1555243/2457600
49: 184441/307200
50: 1742747/3072000
51: 819859/1536000
52: 1/2
53: 716141/1536000
54: 1329253/3072000
55: 122759/307200
56: 902357/2457600
57: 51547/153600
58: 117143/384000
59: 211769/768000
60: 1522381/6144000
61: 3541/16000
62: 60343/307200
63: 4157/24000
64: 186409/1228800
65: 101321/768000
66: 8747/76800
67: 14987/153600
68: 3056761/36864000
69: 321991/4608000
70: 11953/204800
71: 74179/1536000
72: 729271/18432000
73: 147797/4608000
74: 78979/3072000
75: 31273/1536000
76: 586709/36864000
77: 5653/460800
78: 10729/1152000
79: 5341/768000
80: 94003/18432000
81: 11/3000
82: 2377/921600
83: 17/9600
84: 21811/18432000
85: 589/768000
86: 553/1152000
87: 133/460800
88: 763/4608000
89: 23/256000
90: 7/153600
91: 49/2304000
92: 329/36864000
93: 1/307200
94: 1/1024000
95: 1/4608000
96: 1/36864000

Dice: [6, 8, 12, 12, 20, 20, 20]
7: 1/1
8: 55295999/55296000
9: 6911999/6912000
10: 1535999/1536000
11: 460799/460800
12: 1843189/1843200
13: 767989/768000
14: 11058857/11059200
15: 1727893/1728000
16: 27644801/27648000
17: 3455293/3456000
18: 27638459/27648000
19: 287839/288000
20: 2762383/2764800
21: 172571/172800
22: 27593971/27648000
23: 689257/691200
24: 1101547/1105920
25: 859291/864000
26: 13722059/13824000
27: 11407/11520
28: 54585721/55296000
29: 1359481/1382400
30: 27064247/27648000
31: 6728449/6912000
32: 53470507/55296000
33: 368411/384000
34: 5840407/6144000
35: 240751/256000
36: 8560249/9216000
37: 1265917/1382400
38: 9964729/11059200
39: 84929/96000
40: 3993397/4608000
41: 243893/288000
42: 7606541/9216000
43: 184823/230400
44: 7164173/9216000
45: 216281/288000
46: 3332149/4608000
47: 66617/96000
48: 12230281/18432000
49: 161821/256000
50: 5528173/9216000
51: 261241/460800
52: 9834857/18432000
53: 1/2
54: 8597143/18432000
55: 199559/460800
56: 3687827/9216000
57: 94179/256000
58: 6201719/18432000
59: 29383/96000
60: 1275851/4608000
61: 71719/288000
62: 2051827/9216000
63: 45577/230400
64: 1609459/9216000
65: 44107/288000
66: 614603/4608000
67: 11071/96000
68: 1094471/11059200
69: 116483/1382400
70: 655751/9216000
71: 15249/256000
72: 303593/6144000
73: 15589/384000
74: 1825493/55296000
75: 183551/6912000
76: 583753/27648000
77: 22919/1382400
78: 710279/55296000
79: 113/11520
80: 101941/13824000
81: 4709/864000
82: 4373/1105920
83: 1943/691200
84: 54029/27648000
85: 229/172800
86: 2417/2764800
87: 161/288000
88: 9541/27648000
89: 707/3456000
90: 3199/27648000
91: 107/1728000
92: 343/11059200
93: 11/768000
94: 11/1843200
95: 1/460800
96: 1/1536000
97: 1/6912000
98: 1/55296000

Dice: [8, 8, 12, 12, 20, 20, 20]
7: 1/1
8: 73727999/73728000
9: 9215999/9216000
10: 2047999/2048000
11: 614399/614400
12: 2457589/2457600
13: 1023989/1024000
14: 6143857/6144000
15: 3071857/3072000
16: 73721567/73728000
17: 767881/768000
18: 4606789/4608000
19: 767671/768000
20: 36839137/36864000
21: 920651/921600
22: 3067301/3072000
23: 102173/102400
24: 18374093/18432000
25: 1529299/1536000
26: 1017911/1024000
27: 4571287/4608000
28: 14590657/14745600
29: 202003/204800
30: 18109231/18432000
31: 1001297/1024000
32: 71682749/73728000
33: 741637/768000
34: 2942863/3072000
35: 728851/768000
36: 23070899/24576000
37: 949317/1024000
38: 224593/245760
39: 8286083/9216000
40: 65078969/73728000
41: 1328041/1536000
42: 173023/204800
43: 1264711/1536000
44: 1638929/2048000
45: 397069/512000
46: 2301713/3072000
47: 1108297/1536000
48: 5673151/8192000
49: 2034667/3072000
50: 3877603/6144000
51: 613463/1024000
52: 2784043/4915200
53: 819173/1536000
54: 1/2
55: 716827/1536000
56: 2131157/4915200
57: 410537/1024000
58: 2266397/6144000
59: 1037333/3072000
60: 2518849/8192000
61: 427703/1536000
62: 770287/3072000
63: 114931/512000
64: 409071/2048000
65: 271289/1536000
66: 31777/204800
67: 207959/1536000
68: 8649031/73728000
69: 929917/9216000
70: 21167/245760
71: 74683/1024000
72: 1505101/24576000
73: 39149/768000
74: 129137/3072000
75: 26363/768000
76: 2045251/73728000
77: 22703/1024000
78: 322769/18432000
79: 2797/204800
80: 154943/14745600
81: 36713/4608000
82: 6089/1024000
83: 6701/1536000
84: 57907/18432000
85: 227/102400
86: 4699/3072000
87: 949/921600
88: 24863/36864000
89: 329/768000
90: 1211/4608000
91: 119/768000
92: 6433/73728000
93: 143/3072000
94: 143/6144000
95: 11/1024000
96: 11/2457600
97: 1/614400
98: 1/2048000
99: 1/9216000
100: 1/73728000

Dice: [4, 12, 12, 12, 20, 20, 20]
7: 1/1
8: 55295999/55296000
9: 6911999/6912000
10: 1535999/1536000
11: 460799/460800
12: 55295671/55296000
13: 3455951/3456000
14: 230393/230400
15: 383977/384000
16: 3685993/3686400
17: 6910669/6912000
18: 13819567/13824000
19: 2302817/2304000
20: 368347/368640
21: 6903743/6912000
22: 13799819/13824000
23: 459647/460800
24: 9183703/9216000
25: 2292907/2304000
26: 2746831/2764800
27: 1370467/1382400
28: 1214921/1228800
29: 378403/384000
30: 6783653/6912000
31: 3375221/3456000
32: 8947883/9216000
33: 277681/288000
34: 110167/115200
35: 163681/172800
36: 5180269/5529600
37: 71041/76800
38: 2100583/2304000
39: 3099523/3456000
40: 48681737/55296000
41: 1986673/2304000
42: 3882229/4608000
43: 630581/768000
44: 2451497/3072000
45: 593957/768000
46: 3443317/4608000
47: 1658209/2304000
48: 12734381/18432000
49: 380687/576000
50: 362857/576000
51: 344561/576000
52: 651817/1152000
53: 61403/115200
54: 1/2
55: 53797/115200
56: 500183/1152000
57: 231439/576000
58: 213143/576000
59: 195313/576000
60: 5697619/18432000
61: 645791/2304000
62: 1164683/4608000
63: 174043/768000
64: 620503/3072000
65: 137419/768000
66: 725771/4608000
67: 317327/2304000
68: 6614263/55296000
69: 356477/3456000
70: 203417/2304000
71: 5759/76800
72: 349331/5529600
73: 9119/172800
74: 5033/115200
75: 10319/288000
76: 268117/9216000
77: 80779/3456000
78: 128347/6912000
79: 5597/384000
80: 13879/1228800
81: 11933/1382400
82: 17969/2764800
83: 11093/2304000
84: 32297/9216000
85: 1153/460800
86: 24181/13824000
87: 8257/6912000
88: 293/368640
89: 1183/2304000
90: 4433/13824000
91: 1331/6912000
92: 407/3686400
93: 23/384000
94: 7/230400
95: 49/3456000
96: 329/55296000
97: 1/460800
98: 1/1536000
99: 1/6912000
100: 1/55296000

Dice: [6, 12, 12, 12, 20, 20, 20]
7: 1/1
8: 82943999/82944000
9: 10367999/10368000
10: 2303999/2304000
11: 691199/691200
12: 2764789/2764800
13: 1151989/1152000
14: 16588457/16588800
15: 2591893/2592000
16: 1023921/1024000
17: 2073317/2073600
18: 41462441/41472000
19: 1151569/1152000
20: 27631777/27648000
21: 1726457/1728000
22: 9203807/9216000
23: 10348157/10368000
24: 82719281/82944000
25: 95639/96000
26: 82518833/82944000
27: 10296749/10368000
28: 547943/552960
29: 3415187/3456000
30: 27228613/27648000
31: 37661/38400
32: 5058883/5184000
33: 1005757/1036800
34: 13315759/13824000
35: 1238057/1296000
36: 39237797/41472000
37: 1616803/1728000
38: 44341/48000
39: 1573193/1728000
40: 8253019/9216000
41: 9113597/10368000
42: 35702653/41472000
43: 2906899/3456000
44: 181307/221184
45: 76483/96000
46: 21347791/27648000
47: 515687/691200
48: 496721/691200
49: 2384393/3456000
50: 6083411/9216000
51: 90617/144000
52: 4131161/6912000
53: 488561/864000
54: 3682963/6912000
55: 1/2
56: 3229037/6912000
57: 375439/864000
58: 2780839/6912000
59: 53383/144000
60: 3132589/9216000
61: 1071607/3456000
62: 194479/691200
63: 175513/691200
64: 6300209/27648000
65: 19517/96000
66: 39877/221184
67: 549101/3456000
68: 5769347/41472000
69: 1254403/10368000
70: 962981/9216000
71: 154807/1728000
72: 3659/48000
73: 111197/1728000
74: 2234203/41472000
75: 57943/1296000
76: 508241/13824000
77: 31043/1036800
78: 125117/5184000
79: 739/38400
80: 419387/27648000
81: 40813/3456000
82: 5017/552960
83: 71251/10368000
84: 425167/82944000
85: 361/96000
86: 224719/82944000
87: 19843/10368000
88: 12193/9216000
89: 1543/1728000
90: 16223/27648000
91: 431/1152000
92: 9559/41472000
93: 283/2073600
94: 79/1024000
95: 107/2592000
96: 343/16588800
97: 11/1152000
98: 11/2764800
99: 1/691200
100: 1/2304000
101: 1/10368000
102: 1/82944000

Dice: [8, 12, 12, 12, 20, 20, 20]
7: 1/1
8: 110591999/110592000
9: 13823999/13824000
10: 3071999/3072000
11: 921599/921600
12: 3686389/3686400
13: 1535989/1536000
14: 9215857/9216000
15: 4607857/4608000
16: 55292783/55296000
17: 13822571/13824000
18: 27643147/27648000
19: 4606679/4608000
20: 7369463/7372800
21: 1151201/1152000
22: 4603231/4608000
23: 127807/128000
24: 9196189/9216000
25: 215351/216000
26: 13766987/13824000
27: 85919/86400
28: 36591221/36864000
29: 182533/184320
30: 9100487/9216000
31: 4534259/4608000
32: 36119581/36864000
33: 2245933/2304000
34: 13393673/13824000
35: 6648841/6912000
36: 26372497/27648000
37: 2176339/2304000
38: 1434641/1536000
39: 708127/768000
40: 33494809/36864000
41: 4117903/4608000
42: 179631/204800
43: 474971/552960
44: 92808683/110592000
45: 117767/144000
46: 3662773/4608000
47: 13867/18000
48: 27443363/36864000
49: 3304619/4608000
50: 2115391/3072000
51: 1012151/1536000
52: 2573717/4096000
53: 114617/192000
54: 650857/1152000
55: 306773/576000
56: 1/2
57: 269227/576000
58: 501143/1152000
59: 77383/192000
60: 1522283/4096000
61: 523849/1536000
62: 956609/3072000
63: 1303381/4608000
64: 9420637/36864000
65: 4133/18000
66: 945227/4608000
67: 26233/144000
68: 17783317/110592000
69: 77989/552960
70: 25169/204800
71: 490097/4608000
72: 3369191/36864000
73: 59873/768000
74: 101359/1536000
75: 127661/2304000
76: 1275503/27648000
77: 263159/6912000
78: 430327/13824000
79: 58067/2304000
80: 744419/36864000
81: 73741/4608000
82: 115513/9216000
83: 1787/184320
84: 272779/36864000
85: 481/86400
86: 57013/13824000
87: 649/216000
88: 19811/9216000
89: 193/128000
90: 4769/4608000
91: 799/1152000
92: 3337/7372800
93: 1321/4608000
94: 4853/27648000
95: 1429/13824000
96: 3217/55296000
97: 143/4608000
98: 143/9216000
99: 11/1536000
100: 11/3686400
101: 1/921600
102: 1/3072000
103: 1/13824000
104: 1/110592000

Dice: [12, 12, 12, 12, 20, 20, 20]
7: 1/1
8: 165887999/165888000
9: 20735999/20736000
10: 4607999/4608000
11: 1382399/1382400
12: 5529589/5529600
13: 2303989/2304000
14: 13823857/13824000
15: 6911857/6912000
16: 3686257/3686400
17: 2073457/2073600
18: 20733569/20736000
19: 1151779/1152000
20: 10364851/10368000
21: 10363157/10368000
22: 2302387/2304000
23: 1150819/1152000
24: 6134969/6144000
25: 2299237/2304000
26: 41353541/41472000
27: 20655491/20736000
28: 55008571/55296000
29: 10296859/10368000
30: 256883/259200
31: 379583/384000
32: 18162329/18432000
33: 2261591/2304000
34: 4502389/4608000
35: 20150017/20736000
36: 160161433/165888000
37: 827887/864000
38: 9847711/10368000
39: 2437091/2592000
40: 2055623/2211840
41: 2113117/2304000
42: 499603/552960
43: 409367/460800
44: 48203791/55296000
45: 2949887/3456000
46: 1440839/1728000
47: 8424451/10368000
48: 65505913/82944000
49: 440941/576000
50: 5114201/6912000
51: 410683/576000
52: 2524829/3686400
53: 167877/256000
54: 2883391/4608000
55: 4112393/6912000
56: 31166381/55296000
57: 919141/1728000
58: 1/2
59: 808859/1728000
60: 24129619/55296000
61: 2799607/6912000
62: 1724609/4608000
63: 88123/256000
64: 1161571/3686400
65: 165317/576000
66: 1797799/6912000
67: 135059/576000
68: 17438087/82944000
69: 1943549/10368000
70: 287161/1728000
71: 506113/3456000
72: 7092209/55296000
73: 51433/460800
74: 53357/552960
75: 190883/2304000
76: 156217/2211840
77: 154909/2592000
78: 520289/10368000
79: 36113/864000
80: 5726567/165888000
81: 585983/20736000
82: 105611/4608000
83: 42409/2304000
84: 269671/18432000
85: 4417/384000
86: 2317/259200
87: 71141/10368000
88: 287429/55296000
89: 80509/20736000
90: 118459/41472000
91: 4763/2304000
92: 9031/6144000
93: 1181/1152000
94: 1613/2304000
95: 4843/10368000
96: 3149/10368000
97: 221/1152000
98: 2431/20736000
99: 143/2073600
100: 143/3686400
101: 143/6912000
102: 143/13824000
103: 11/2304000
104: 11/5529600
105: 1/1382400
106: 1/4608000
107: 1/20736000
108: 1/165888000

Dice: [4, 4, 4, 20, 20, 20, 20]
7: 1/1
8: 10239999/10240000
9: 1279999/1280000
10: 2559991/2560000
11: 255997/256000
12: 10239673/10240000
13: 39997/40000
14: 1279799/1280000
15: 9997/10000
16: 1279319/1280000
17: 79929/80000
18: 1278199/1280000
19: 79829/80000
20: 1275991/1280000
21: 19911/20000
22: 1272119/1280000
23: 39667/40000
24: 1265879/1280000
25: 78851/80000
26: 1256439/1280000
27: 78139/80000
28: 2485679/2560000
29: 308537/320000
30: 1224009/1280000
31: 303071/320000
32: 479537/512000
33: 73973/80000
34: 1166363/1280000
35: 71697/80000
36: 1125883/1280000
37: 17227/20000
38: 1077083/1280000
39: 32799/40000
40: 1020027/1280000
41: 61783/80000
42: 955163/1280000
43: 57503/80000
44: 883323/1280000
45: 26411/40000
46: 805723/1280000
47: 11957/20000
48: 2895849/5120000
49: 341061/640000
50: 1/2
51: 298939/640000
52: 2224151/5120000
53: 8043/20000
54: 474277/1280000
55: 13589/40000
56: 396677/1280000
57: 22497/80000
58: 324837/1280000
59: 18217/80000
60: 259973/1280000
61: 7201/40000
62: 202917/1280000
63: 2773/20000
64: 154117/1280000
65: 8303/80000
66: 113637/1280000
67: 6027/80000
68: 32463/512000
69: 16929/320000
70: 55991/1280000
71: 11463/320000
72: 74321/2560000
73: 1861/80000
74: 23561/1280000
75: 1149/80000
76: 14121/1280000
77: 333/40000
78: 7881/1280000
79: 89/20000
80: 4009/1280000
81: 171/80000
82: 1801/1280000
83: 71/80000
84: 681/1280000
85: 3/10000
86: 201/1280000
87: 3/40000
88: 327/10240000
89: 3/256000
90: 9/2560000
91: 1/1280000
92: 1/10240000

Dice: [4, 4, 6, 20, 20, 20, 20]
7: 1/1
8: 15359999/15360000
9: 1919999/1920000
10: 1279997/1280000
11: 127999/128000
12: 1919959/1920000
13: 1919903/1920000
14: 15358357/15360000
15: 959801/960000
16: 767713/768000
17: 319797/320000
18: 3836069/3840000
19: 958481/960000
20: 1276983/1280000
21: 191347/192000
22: 3821669/3840000
23: 317907/320000
24: 3806309/3840000
25: 948911/960000
26: 252171/256000
27: 941681/960000
28: 4997/5120
29: 931313/960000
30: 147953/153600
31: 183403/192000
32: 3632557/3840000
33: 179597/192000
34: 221617/240000
35: 873517/960000
36: 229087/256000
37: 843107/960000
38: 3302353/3840000
39: 268839/320000
40: 3143633/3840000
41: 152759/192000
42: 986971/1280000
43: 715277/960000
44: 2756113/3840000
45: 220529/320000
46: 506461/768000
47: 603637/960000
48: 1529141/2560000
49: 16957/30000
50: 2045659/3840000
51: 1/2
52: 1794341/3840000
53: 13043/30000
54: 1030859/2560000
55: 356363/960000
56: 261539/768000
57: 99471/320000
58: 1083887/3840000
59: 244723/960000
60: 293029/1280000
61: 39241/192000
62: 696367/3840000
63: 51161/320000
64: 537647/3840000
65: 116893/960000
66: 26913/256000
67: 86483/960000
68: 18383/240000
69: 12403/192000
70: 207443/3840000
71: 8597/192000
72: 5647/153600
73: 28687/960000
74: 123/5120
75: 18319/960000
76: 3829/256000
77: 11089/960000
78: 33691/3840000
79: 2093/320000
80: 18331/3840000
81: 653/192000
82: 3017/1280000
83: 1519/960000
84: 3931/3840000
85: 203/320000
86: 287/768000
87: 199/960000
88: 1643/15360000
89: 97/1920000
90: 41/1920000
91: 1/128000
92: 3/1280000
93: 1/1920000
94: 1/15360000

Dice: [4, 6, 6, 20, 20, 20, 20]
7: 1/1
8: 23039999/23040000
9: 2879999/2880000
10: 639999/640000
11: 191999/192000
12: 23039671/23040000
13: 1439951/1440000
14: 11519161/11520000
15: 719897/720000
16: 7677989/7680000
17: 2878699/2880000
18: 11511463/11520000
19: 2876647/2880000
20: 11499703/11520000
21: 2872567/2880000
22: 11477671/11520000
23: 2865307/2880000
24: 11440183/11520000
25: 2853427/2880000
26: 11380903/11520000
27: 2835199/2880000
28: 250941/256000
29: 2808611/2880000
30: 2233187/2304000
31: 2771407/2880000
32: 10992329/11520000
33: 907073/960000
34: 3587393/3840000
35: 531163/576000
36: 10467289/11520000
37: 857801/960000
38: 1122419/1280000
39: 824293/960000
40: 3220937/3840000
41: 261551/320000
42: 3050329/3840000
43: 739073/960000
44: 952259/1280000
45: 688033/960000
46: 2642777/3840000
47: 210767/320000
48: 100499/160000
49: 190977/320000
50: 723047/1280000
51: 511243/960000
52: 1/2
53: 448757/960000
54: 556953/1280000
55: 129023/320000
56: 59501/160000
57: 109233/320000
58: 1197223/3840000
59: 271967/960000
60: 327741/1280000
61: 220927/960000
62: 789671/3840000
63: 58449/320000
64: 619063/3840000
65: 135707/960000
66: 157581/1280000
67: 102199/960000
68: 1052711/11520000
69: 44837/576000
70: 252607/3840000
71: 52927/960000
72: 527671/11520000
73: 108593/2880000
74: 70813/2304000
75: 71389/2880000
76: 5059/256000
77: 44801/2880000
78: 139097/11520000
79: 26573/2880000
80: 79817/11520000
81: 14693/2880000
82: 42329/11520000
83: 7433/2880000
84: 20297/11520000
85: 3353/2880000
86: 8537/11520000
87: 1301/2880000
88: 2011/7680000
89: 103/720000
90: 839/11520000
91: 49/1440000
92: 329/23040000
93: 1/192000
94: 1/640000
95: 1/2880000
96: 1/23040000

Dice: [6, 6, 6, 20, 20, 20, 20]
7: 1/1
8: 34559999/34560000
9: 4319999/4320000
10: 959999/960000
11: 287999/288000
12: 1151989/1152000
13: 479989/480000
14: 11519429/11520000
15: 719929/720000
16: 3839297/3840000
17: 863723/864000
18: 17270771/17280000
19: 479591/480000
20: 3834973/3840000
21: 239533/240000
22: 3829213/3840000
23: 478103/480000
24: 3819133/3840000
25: 238243/240000
26: 3802813/3840000
27: 473951/480000
28: 6800309/6912000
29: 2115839/2160000
30: 3741869/3840000
31: 1394513/1440000
32: 11074799/11520000
33: 228761/240000
34: 10872163/11520000
35: 1343581/1440000
36: 707269/768000
37: 1959847/2160000
38: 30835373/34560000
39: 140089/160000
40: 1097347/1280000
41: 66997/80000
42: 1044547/1280000
43: 126897/160000
44: 983907/1280000
45: 59427/80000
46: 916067/1280000
47: 109969/160000
48: 7578457/11520000
49: 112943/180000
50: 763259/1280000
51: 270977/480000
52: 2044301/3840000
53: 1/2
54: 1795699/3840000
55: 209023/480000
56: 516741/1280000
57: 67057/180000
58: 3941543/11520000
59: 50031/160000
60: 363933/1280000
61: 20573/80000
62: 296093/1280000
63: 33103/160000
64: 235453/1280000
65: 13003/80000
66: 182653/1280000
67: 19911/160000
68: 3724627/34560000
69: 200153/2160000
70: 60731/768000
71: 96419/1440000
72: 647837/11520000
73: 11239/240000
74: 445201/11520000
75: 45487/1440000
76: 98131/3840000
77: 44161/2160000
78: 111691/6912000
79: 6049/480000
80: 37187/3840000
81: 1757/240000
82: 20867/3840000
83: 1897/480000
84: 10787/3840000
85: 467/240000
86: 5027/3840000
87: 409/480000
88: 9229/17280000
89: 277/864000
90: 703/3840000
91: 71/720000
92: 571/11520000
93: 11/480000
94: 11/1152000
95: 1/288000
96: 1/960000
97: 1/4320000
98: 1/34560000

Dice: [4, 4, 8, 20, 20, 20, 20]
7: 1/1
8: 20479999/20480000
9: 2559999/2560000
10: 5119991/5120000
11: 511997/512000
12: 2559959/2560000
13: 2559903/2560000
14: 5119589/5120000
15: 2559601/2560000
16: 818969/819200
17: 159923/160000
18: 1278999/1280000
19: 31961/32000
20: 255531/256000
21: 159573/160000
22: 1275159/1280000
23: 159163/160000
24: 254187/256000
25: 31699/32000
26: 1264279/1280000
27: 157473/160000
28: 5017437/5120000
29: 623941/640000
30: 38757/40000
31: 615627/640000
32: 1220841/1280000
33: 604429/640000
34: 597593/640000
35: 589859/640000
36: 4649451/5120000
37: 142881/160000
38: 1121723/1280000
39: 27459/32000
40: 214591/256000
41: 130691/160000
42: 1016123/1280000
43: 123101/160000
44: 38067/51200
45: 22921/32000
46: 880443/1280000
47: 105331/160000
48: 6429141/10240000
49: 763637/1280000
50: 1445723/2560000
51: 681563/1280000
52: 1/2
53: 598437/1280000
54: 1114277/2560000
55: 516363/1280000
56: 3810859/10240000
57: 54669/160000
58: 399557/1280000
59: 9079/32000
60: 13133/51200
61: 36899/160000
62: 263877/1280000
63: 29309/160000
64: 41409/256000
65: 4541/32000
66: 158277/1280000
67: 17119/160000
68: 470549/5120000
69: 50141/640000
70: 42407/640000
71: 35571/640000
72: 59159/1280000
73: 24373/640000
74: 1243/40000
75: 16059/640000
76: 102563/5120000
77: 2527/160000
78: 15721/1280000
79: 301/32000
80: 1813/256000
81: 837/160000
82: 4841/1280000
83: 427/160000
84: 469/256000
85: 39/32000
86: 1001/1280000
87: 77/160000
88: 231/819200
89: 399/2560000
90: 411/5120000
91: 97/2560000
92: 41/2560000
93: 3/512000
94: 9/5120000
95: 1/2560000
96: 1/20480000

Dice: [4, 6, 8, 20, 20, 20, 20]
7: 1/1
8: 30719999/30720000
9: 3839999/3840000
10: 2559997/2560000
11: 255999/256000
12: 30719671/30720000
13: 1919951/1920000
14: 30718321/30720000
15: 3839587/3840000
16: 7678483/7680000
17: 767737/768000
18: 10234211/10240000
19: 959141/960000
20: 3834757/3840000
21: 958063/960000
22: 3828869/3840000
23: 956101/960000
24: 3818629/3840000
25: 952823/960000
26: 3802117/3840000
27: 947701/960000
28: 7554059/7680000
29: 58757/60000
30: 748139/768000
31: 232337/240000
32: 7380307/7680000
33: 304883/320000
34: 2414899/2560000
35: 149211/160000
36: 3534431/3840000
37: 145091/160000
38: 273929/307200
39: 840017/960000
40: 3289969/3840000
41: 267817/320000
42: 3131633/3840000
43: 760897/960000
44: 983291/1280000
45: 712691/960000
46: 2746609/3840000
47: 219819/320000
48: 10099649/15360000
49: 1204211/1920000
50: 381497/640000
51: 1083637/1920000
52: 1635221/3072000
53: 1/2
54: 1436779/3072000
55: 836363/1920000
56: 258503/640000
57: 715789/1920000
58: 5260351/15360000
59: 100181/320000
60: 1093391/3840000
61: 247309/960000
62: 296709/1280000
63: 199103/960000
64: 708367/3840000
65: 52183/320000
66: 550031/3840000
67: 119983/960000
68: 33271/307200
69: 14909/160000
70: 305569/3840000
71: 10789/160000
72: 145101/2560000
73: 15117/320000
74: 299693/7680000
75: 7663/240000
76: 19861/768000
77: 1243/60000
78: 125941/7680000
79: 12299/960000
80: 37883/3840000
81: 7177/960000
82: 21371/3840000
83: 3899/960000
84: 11131/3840000
85: 1937/960000
86: 5243/3840000
87: 859/960000
88: 5789/10240000
89: 263/768000
90: 1517/7680000
91: 413/3840000
92: 1679/30720000
93: 49/1920000
94: 329/30720000
95: 1/256000
96: 3/2560000
97: 1/3840000
98: 1/30720000

Dice: [6, 6, 8, 20, 20, 20, 20]
7: 1/1
8: 46079999/46080000
9: 5759999/5760000
10: 1279999/1280000
11: 383999/384000
12: 1535989/1536000
13: 639989/640000
14: 23039143/23040000
15: 5759573/5760000
16: 23036819/23040000
17: 5758601/5760000
18: 719707/720000
19: 383749/384000
20: 46033373/46080000
21: 2875633/2880000
22: 11494567/11520000
23: 2870977/2880000
24: 11469943/11520000
25: 2862997/2880000
26: 11429287/11520000
27: 2850253/2880000
28: 1420783/1440000
29: 943673/960000
30: 11273419/11520000
31: 2803303/2880000
32: 11142337/11520000
33: 552983/576000
34: 10964057/11520000
35: 904537/960000
36: 1192201/1280000
37: 882437/960000
38: 139093/153600
39: 2564347/2880000
40: 201301/230400
41: 821227/960000
42: 3208793/3840000
43: 260561/320000
44: 3038857/3840000
45: 736343/960000
46: 948851/1280000
47: 685687/960000
48: 1756251/2560000
49: 315241/480000
50: 2405959/3840000
51: 142943/240000
52: 180499/320000
53: 127711/240000
54: 1/2
55: 112289/240000
56: 139501/320000
57: 97057/240000
58: 1434041/3840000
59: 164759/480000
60: 803749/2560000
61: 274313/960000
62: 331149/1280000
63: 223657/960000
64: 801143/3840000
65: 59439/320000
66: 631207/3840000
67: 138773/960000
68: 29099/230400
69: 315653/2880000
70: 14507/153600
71: 77563/960000
72: 87799/1280000
73: 55463/960000
74: 555943/11520000
75: 23017/576000
76: 377663/11520000
77: 76697/2880000
78: 246581/11520000
79: 16327/960000
80: 19217/1440000
81: 29747/2880000
82: 90713/11520000
83: 17003/2880000
84: 50057/11520000
85: 9023/2880000
86: 25433/11520000
87: 4367/2880000
88: 46627/46080000
89: 251/384000
90: 293/720000
91: 1399/5760000
92: 3181/23040000
93: 427/5760000
94: 857/23040000
95: 11/640000
96: 11/1536000
97: 1/384000
98: 1/1280000
99: 1/5760000
100: 1/46080000

Dice: [4, 8, 8, 20, 20, 20, 20]
7: 1/1
8: 40959999/40960000
9: 5119999/5120000
10: 10239991/10240000
11: 1023997/1024000
12: 40959671/40960000
13: 2559951/2560000
14: 511979/512000
15: 2559793/2560000
16: 40953897/40960000
17: 5118671/5120000
18: 2047117/2048000
19: 5116481/5120000
20: 8183341/8192000
21: 39937/40000
22: 1277079/1280000
23: 39871/40000
24: 254859/256000
25: 79517/80000
26: 1269719/1280000
27: 79159/80000
28: 10101177/10240000
29: 1257921/1280000
30: 2504503/2560000
31: 1245519/1280000
32: 9900801/10240000
33: 122837/128000
34: 243541/256000
35: 602743/640000
36: 1906563/2048000
37: 1175953/1280000
38: 2316909/2560000
39: 1139039/1280000
40: 8941271/10240000
41: 68393/80000
42: 1068923/1280000
43: 65099/80000
44: 202463/256000
45: 15331/20000
46: 948283/1280000
47: 14277/20000
48: 14042541/20480000
49: 1680477/2560000
50: 3206609/5120000
51: 1524211/2560000
52: 11549141/20480000
53: 681037/1280000
54: 1/2
55: 598963/1280000
56: 8930859/20480000
57: 1035789/2560000
58: 1913391/5120000
59: 879523/2560000
60: 6437459/20480000
61: 5723/20000
62: 331717/1280000
63: 4669/20000
64: 53537/256000
65: 14901/80000
66: 211077/1280000
67: 11607/80000
68: 1298729/10240000
69: 140961/1280000
70: 243091/2560000
71: 104047/1280000
72: 141437/2048000
73: 37257/640000
74: 12459/256000
75: 5163/128000
76: 339199/10240000
77: 34481/1280000
78: 55497/2560000
79: 22079/1280000
80: 138823/10240000
81: 841/80000
82: 10281/1280000
83: 483/80000
84: 1141/256000
85: 129/40000
86: 2921/1280000
87: 63/40000
88: 8659/8192000
89: 3519/5120000
90: 883/2048000
91: 1329/5120000
92: 6103/40960000
93: 207/2560000
94: 21/512000
95: 49/2560000
96: 329/40960000
97: 3/1024000
98: 9/10240000
99: 1/5120000
100: 1/40960000

Dice: [6, 8, 8, 20, 20, 20, 20]
7: 1/1
8: 61439999/61440000
9: 7679999/7680000
10: 5119997/5120000
11: 511999/512000
12: 2047989/2048000
13: 2559967/2560000
14: 12287657/12288000
15: 1919893/1920000
16: 61433603/61440000
17: 2559529/2560000
18: 30710477/30720000
19: 2558717/2560000
20: 5115999/5120000
21: 2556979/2560000
22: 12266717/12288000
23: 319207/320000
24: 3826693/3840000
25: 318481/320000
26: 1271831/1280000
27: 951901/960000
28: 15191317/15360000
29: 378587/384000
30: 1885703/1920000
31: 625683/640000
32: 2489061/2560000
33: 1854761/1920000
34: 14726087/15360000
35: 912307/960000
36: 14449169/15360000
37: 119013/128000
38: 7046461/7680000
39: 1735283/1920000
40: 5687/6400
41: 557999/640000
42: 4370497/5120000
43: 266819/320000
44: 3119921/3840000
45: 758071/960000
46: 979707/1280000
47: 710177/960000
48: 21899141/30720000
49: 876531/1280000
50: 5035591/7680000
51: 2402551/3840000
52: 3045959/5120000
53: 2164211/3840000
54: 16339823/30720000
55: 1/2
56: 14380177/30720000
57: 1675789/3840000
58: 2074041/5120000
59: 1437449/3840000
60: 2644409/7680000
61: 403469/1280000
62: 8820859/30720000
63: 249823/960000
64: 300293/1280000
65: 201929/960000
66: 720079/3840000
67: 53181/320000
68: 749503/5120000
69: 82001/640000
70: 713/6400
71: 184717/1920000
72: 633539/7680000
73: 8987/128000
74: 910831/15360000
75: 47693/960000
76: 633913/15360000
77: 65239/1920000
78: 70939/2560000
79: 14317/640000
80: 34297/1920000
81: 5413/384000
82: 168683/15360000
83: 8099/960000
84: 8169/1280000
85: 1519/320000
86: 13307/3840000
87: 793/320000
88: 21283/12288000
89: 3021/2560000
90: 4001/5120000
91: 1283/2560000
92: 9523/30720000
93: 471/2560000
94: 6397/61440000
95: 107/1920000
96: 343/12288000
97: 33/2560000
98: 11/2048000
99: 1/512000
100: 3/5120000
101: 1/7680000
102: 1/61440000

Dice: [8, 8, 8, 20, 20, 20, 20]
7: 1/1
8: 81919999/81920000
9: 10239999/10240000
10: 20479991/20480000
11: 2047997/2048000
12: 8191967/8192000
13: 10239901/10240000
14: 20479571/20480000
15: 10239571/10240000
16: 2559799/2560000
17: 10238573/10240000
18: 4095033/4096000
19: 10236067/10240000
20: 40935301/40960000
21: 10230607/10240000
22: 20452217/20480000
23: 10219969/10240000
24: 16338829/16384000
25: 159391/160000
26: 1273399/1280000
27: 158901/160000
28: 20295537/20480000
29: 2530193/2560000
30: 5043941/5120000
31: 2512063/2560000
32: 10000989/10240000
33: 2486291/2560000
34: 4939913/5120000
35: 490201/512000
36: 1214601/1280000
37: 2404323/2560000
38: 4752319/5120000
39: 93781/102400
40: 9237043/10240000
41: 2270241/2560000
42: 890951/1024000
43: 2180623/2560000
44: 17039791/20480000
45: 129717/160000
46: 1008603/1280000
47: 122207/160000
48: 30239581/40960000
49: 728569/1024000
50: 6999741/10240000
51: 3351667/5120000
52: 12795841/20480000
53: 3042551/5120000
54: 5766609/10240000
55: 2722137/5120000
56: 1/2
57: 2397863/5120000
58: 4473391/10240000
59: 2077449/5120000
60: 7684159/20480000
61: 1768333/5120000
62: 3240259/10240000
63: 295431/1024000
64: 10720419/40960000
65: 37793/160000
66: 271397/1280000
67: 30283/160000
68: 3440209/20480000
69: 379377/2560000
70: 133049/1024000
71: 289759/2560000
72: 1002957/10240000
73: 8619/102400
74: 367681/5120000
75: 155677/2560000
76: 65399/1280000
77: 21799/512000
78: 180087/5120000
79: 73709/2560000
80: 239011/10240000
81: 47937/2560000
82: 76059/5120000
83: 29807/2560000
84: 184463/20480000
85: 1099/160000
86: 6601/1280000
87: 609/160000
88: 45171/16384000
89: 20031/10240000
90: 27783/20480000
91: 9393/10240000
92: 24699/40960000
93: 3933/10240000
94: 967/4096000
95: 1427/10240000
96: 201/2560000
97: 429/10240000
98: 429/20480000
99: 99/10240000
100: 33/8192000
101: 3/2048000
102: 9/20480000
103: 1/10240000
104: 1/81920000

Dice: [4, 4, 12, 20, 20, 20, 20]
7: 1/1
8: 30719999/30720000
9: 3839999/3840000
10: 2559997/2560000
11: 255999/256000
12: 3839959/3840000
13: 3839903/3840000
14: 2559863/2560000
15: 1279867/1280000
16: 1919639/1920000
17: 1279589/1280000
18: 7675987/7680000
19: 255791/256000
20: 30682153/30720000
21: 239567/240000
22: 3830117/3840000
23: 79713/80000
24: 3821189/3840000
25: 29803/30000
26: 1268919/1280000
27: 118651/120000
28: 7569419/7680000
29: 942517/960000
30: 3752567/3840000
31: 932963/960000
32: 3707561/3840000
33: 306611/320000
34: 3646811/3840000
35: 60161/64000
36: 713513/768000
37: 880061/960000
38: 693491/768000
39: 852251/960000
40: 445967/512000
41: 25583/30000
42: 1066203/1280000
43: 97399/120000
44: 3029233/3840000
45: 61171/80000
46: 2837969/3840000
47: 170929/240000
48: 3503083/5120000
49: 1257901/1920000
50: 1200443/1920000
51: 380529/640000
52: 2163323/3840000
53: 1021013/1920000
54: 1/2
55: 898987/1920000
56: 1676677/3840000
57: 259471/640000
58: 719557/1920000
59: 662099/1920000
60: 1616917/5120000
61: 69071/240000
62: 1002031/3840000
63: 18829/80000
64: 810767/3840000
65: 22601/120000
66: 213797/1280000
67: 4417/30000
68: 66033/512000
69: 107749/960000
70: 74509/768000
71: 79939/960000
72: 54487/768000
73: 3839/64000
74: 193189/3840000
75: 13389/320000
76: 132439/3840000
77: 27037/960000
78: 87433/3840000
79: 17483/960000
80: 110581/7680000
81: 1349/120000
82: 11081/1280000
83: 197/30000
84: 18811/3840000
85: 287/80000
86: 9883/3840000
87: 433/240000
88: 37847/30720000
89: 209/256000
90: 4013/7680000
91: 411/1280000
92: 361/1920000
93: 133/1280000
94: 137/2560000
95: 97/3840000
96: 41/3840000
97: 1/256000
98: 3/2560000
99: 1/3840000
100: 1/30720000

Dice: [4, 6, 12, 20, 20, 20, 20]
7: 1/1
8: 46079999/46080000
9: 5759999/5760000
10: 1279999/1280000
11: 383999/384000
12: 46079671/46080000
13: 2879951/2880000
14: 46078321/46080000
15: 5759587/5760000
16: 15357977/15360000
17: 1439671/1440000
18: 15354199/15360000
19: 5756549/5760000
20: 1438679/1440000
21: 383477/384000
22: 45989309/46080000
23: 2872003/2880000
24: 11475823/11520000
25: 2865037/2880000
26: 11440303/11520000
27: 2853883/2880000
28: 711563/720000
29: 945653/960000
30: 11303059/11520000
31: 2812417/2880000
32: 466109/480000
33: 2778209/2880000
34: 1837877/1920000
35: 2732213/2880000
36: 2704153/2880000
37: 534481/576000
38: 210941/230400
39: 288561/320000
40: 680833/768000
41: 2504887/2880000
42: 4904569/5760000
43: 798437/960000
44: 1037339/1280000
45: 756163/960000
46: 2931857/3840000
47: 236159/320000
48: 1092461/1536000
49: 328001/480000
50: 837653/1280000
51: 299819/480000
52: 4562777/7680000
53: 540529/960000
54: 272189/512000
55: 1/2
56: 239811/512000
57: 419471/960000
58: 3117223/7680000
59: 180181/480000
60: 442347/1280000
61: 151999/480000
62: 443539/1536000
63: 83841/320000
64: 908143/3840000
65: 203837/960000
66: 242661/1280000
67: 161563/960000
68: 855431/5760000
69: 375113/2880000
70: 87167/768000
71: 31439/320000
72: 19459/230400
73: 41519/576000
74: 175847/2880000
75: 147787/2880000
76: 82123/1920000
77: 101791/2880000
78: 13891/480000
79: 67583/2880000
80: 216941/11520000
81: 14347/960000
82: 8437/720000
83: 26117/2880000
84: 79697/11520000
85: 14963/2880000
86: 44177/11520000
87: 7997/2880000
88: 90691/46080000
89: 523/384000
90: 1321/1440000
91: 3451/5760000
92: 5801/15360000
93: 329/1440000
94: 2023/15360000
95: 413/5760000
96: 1679/46080000
97: 49/2880000
98: 329/46080000
99: 1/384000
100: 1/1280000
101: 1/5760000
102: 1/46080000

Dice: [6, 6, 12, 20, 20, 20, 20]
7: 1/1
8: 69119999/69120000
9: 8639999/8640000
10: 1919999/1920000
11: 575999/576000
12: 2303989/2304000
13: 959989/960000
14: 34559143/34560000
15: 8639573/8640000
16: 7679293/7680000
17: 43193/43200
18: 17275303/17280000
19: 15993/16000
20: 5756087/5760000
21: 22477/22500
22: 255617/256000
23: 4310771/4320000
24: 68913739/69120000
25: 956077/960000
26: 3818893/3840000
27: 953017/960000
28: 34232231/34560000
29: 1706921/1728000
30: 1260167/1280000
31: 2823971/2880000
32: 11241619/11520000
33: 310491/320000
34: 33309017/34560000
35: 8262421/8640000
36: 3639107/3840000
37: 8103233/8640000
38: 6405977/6912000
39: 877789/960000
40: 10374143/11520000
41: 2549527/2880000
42: 3334993/3840000
43: 7345913/8640000
44: 28700431/34560000
45: 258943/320000
46: 1006707/1280000
47: 243963/320000
48: 848969/1152000
49: 2045617/2880000
50: 873583/1280000
51: 627539/960000
52: 2396251/3840000
53: 189969/320000
54: 6482777/11520000
55: 1530613/2880000
56: 1/2
57: 1349387/2880000
58: 5037223/11520000
59: 130031/320000
60: 1443749/3840000
61: 332461/960000
62: 406417/1280000
63: 834383/2880000
64: 303031/1152000
65: 76037/320000
66: 273293/1280000
67: 61057/320000
68: 5859569/34560000
69: 1294087/8640000
70: 505007/3840000
71: 330473/2880000
72: 1145857/11520000
73: 82211/960000
74: 506023/6912000
75: 536767/8640000
76: 200893/3840000
77: 377579/8640000
78: 1250983/34560000
79: 9509/320000
80: 278381/11520000
81: 56029/2880000
82: 19833/1280000
83: 21079/1728000
84: 327769/34560000
85: 6983/960000
86: 21107/3840000
87: 3923/960000
88: 206261/69120000
89: 9229/4320000
90: 383/256000
91: 23/22500
92: 3913/5760000
93: 7/16000
94: 4697/17280000
95: 7/43200
96: 707/7680000
97: 427/8640000
98: 857/34560000
99: 11/960000
100: 11/2304000
101: 1/576000
102: 1/1920000
103: 1/8640000
104: 1/69120000

Dice: [4, 8, 12, 20, 20, 20, 20]
7: 1/1
8: 61439999/61440000
9: 7679999/7680000
10: 5119997/5120000
11: 511999/512000
12: 61439671/61440000
13: 3839951/3840000
14: 255993/256000
15: 1279931/1280000
16: 7679237/7680000
17: 767867/768000
18: 1919447/1920000
19: 1279411/1280000
20: 20465459/20480000
21: 7671839/7680000
22: 15336221/15360000
23: 2554363/2560000
24: 12250333/12288000
25: 477991/480000
26: 3818437/3840000
27: 476441/480000
28: 5070599/5120000
29: 632071/640000
30: 1889831/1920000
31: 1882171/1920000
32: 4994847/5120000
33: 37247/38400
34: 3699689/3840000
35: 917689/960000
36: 1212521/1280000
37: 899947/960000
38: 1185711/1280000
39: 877333/960000
40: 2764927/3072000
41: 566239/640000
42: 416629/480000
43: 1631443/1920000
44: 12747971/15360000
45: 388177/480000
46: 3018289/3840000
47: 121909/160000
48: 22626181/30720000
49: 545201/768000
50: 349257/512000
51: 2509019/3840000
52: 19162541/30720000
53: 379819/640000
54: 2160443/3840000
55: 1020287/1920000
56: 1/2
57: 899713/1920000
58: 1679557/3840000
59: 260181/640000
60: 11557459/30720000
61: 1330981/3840000
62: 162743/512000
63: 222799/768000
64: 8093819/30720000
65: 38091/160000
66: 821711/3840000
67: 91823/480000
68: 2612029/15360000
69: 288557/1920000
70: 63371/480000
71: 73761/640000
72: 307073/3072000
73: 82667/960000
74: 94289/1280000
75: 60053/960000
76: 67479/1280000
77: 42311/960000
78: 140311/3840000
79: 1153/38400
80: 125153/5120000
81: 37829/1920000
82: 30169/1920000
83: 7929/640000
84: 49401/5120000
85: 3559/480000
86: 21563/3840000
87: 2009/480000
88: 37667/12288000
89: 5637/2560000
90: 23779/15360000
91: 8161/7680000
92: 14541/20480000
93: 589/1280000
94: 553/1920000
95: 133/768000
96: 763/7680000
97: 69/1280000
98: 7/256000
99: 49/3840000
100: 329/61440000
101: 1/512000
102: 3/5120000
103: 1/7680000
104: 1/61440000

Dice: [6, 8, 12, 20, 20, 20, 20]
7: 1/1
8: 92159999/92160000
9: 11519999/11520000
10: 2559999/2560000
11: 767999/768000
12: 3071989/3072000
13: 1279989/1280000
14: 18431657/18432000
15: 2879893/2880000
16: 46076801/46080000
17: 5759293/5760000
18: 46070459/46080000
19: 479839/480000
20: 92111659/92160000
21: 11510839/11520000
22: 46025953/46080000
23: 2300111/2304000
24: 4597051/4608000
25: 11482229/11520000
26: 30583507/30720000
27: 2862943/2880000
28: 7620277/7680000
29: 1425499/1440000
30: 11371681/11520000
31: 56663/57600
32: 2821453/2880000
33: 87737/90000
34: 22330321/23040000
35: 61607/64000
36: 5500807/5760000
37: 2725307/2880000
38: 2696789/2880000
39: 2664631/2880000
40: 21029107/23040000
41: 431441/480000
42: 1696349/1920000
43: 41603/48000
44: 3258091/3840000
45: 9323/11250
46: 18604709/23040000
47: 753457/960000
48: 11686339/15360000
49: 282433/384000
50: 340301/480000
51: 261623/384000
52: 1670847/2560000
53: 1196531/1920000
54: 3036251/5120000
55: 539819/960000
56: 4079971/7680000
57: 1/2
58: 3600029/7680000
59: 420181/960000
60: 2083749/5120000
61: 723469/1920000
62: 889153/2560000
63: 122377/384000
64: 139699/480000
65: 101567/384000
66: 3673661/15360000
67: 206543/960000
68: 4435291/23040000
69: 1927/11250
70: 581909/3840000
71: 6397/48000
72: 223651/1920000
73: 48559/480000
74: 2010893/23040000
75: 215369/2880000
76: 183211/2880000
77: 154693/2880000
78: 259193/5760000
79: 2393/64000
80: 709679/23040000
81: 2263/90000
82: 58547/2880000
83: 937/57600
84: 148319/11520000
85: 14501/1440000
86: 59723/7680000
87: 17057/2880000
88: 136493/30720000
89: 37771/11520000
90: 10949/4608000
91: 3889/2304000
92: 54047/46080000
93: 9161/11520000
94: 48341/92160000
95: 161/480000
96: 9541/46080000
97: 707/5760000
98: 3199/46080000
99: 107/2880000
100: 343/18432000
101: 11/1280000
102: 11/3072000
103: 1/768000
104: 1/2560000
105: 1/11520000
106: 1/92160000

Dice: [8, 8, 12, 20, 20, 20, 20]
7: 1/1
8: 122879999/122880000
9: 15359999/15360000
10: 10239997/10240000
11: 1023999/1024000
12: 4095989/4096000
13: 5119967/5120000
14: 10239857/10240000
15: 5119857/5120000
16: 122873567/122880000
17: 1279881/1280000
18: 7678789/7680000
19: 1279671/1280000
20: 122830273/122880000
21: 15350509/15360000
22: 10230599/10240000
23: 1022637/1024000
24: 61324021/61440000
25: 1021313/1024000
26: 10203323/10240000
27: 3057229/3072000
28: 122098853/122880000
29: 3808177/3840000
30: 7598099/7680000
31: 252529/256000
32: 5032723/5120000
33: 3758563/3840000
34: 2493117/2560000
35: 1239183/1280000
36: 9844931/10240000
37: 305187/320000
38: 3628411/3840000
39: 897511/960000
40: 28374887/30720000
41: 3498611/3840000
42: 1378033/1536000
43: 1128703/1280000
44: 13286303/15360000
45: 130057/153600
46: 2117107/2560000
47: 3094351/3840000
48: 48122123/61440000
49: 1943807/2560000
50: 11275433/15360000
51: 1086967/1536000
52: 6964787/10240000
53: 5004919/7680000
54: 9559741/15360000
55: 1516531/2560000
56: 34522541/61440000
57: 203917/384000
58: 1/2
59: 180083/384000
60: 26917459/61440000
61: 1043469/2560000
62: 5800259/15360000
63: 2675081/7680000
64: 3275213/10240000
65: 449033/1536000
66: 4084567/15360000
67: 616193/2560000
68: 13317877/61440000
69: 745649/3840000
70: 442893/2560000
71: 23543/153600
72: 2073697/15360000
73: 151297/1280000
74: 157967/1536000
75: 341389/3840000
76: 2345113/30720000
77: 62489/960000
78: 211589/3840000
79: 14813/320000
80: 395069/10240000
81: 40817/1280000
82: 66883/2560000
83: 81437/3840000
84: 87277/5120000
85: 3471/256000
86: 81901/7680000
87: 31823/3840000
88: 781147/122880000
89: 14771/3072000
90: 36677/10240000
91: 2687/1024000
92: 115979/61440000
93: 1363/1024000
94: 9401/10240000
95: 9491/15360000
96: 49727/122880000
97: 329/1280000
98: 1211/7680000
99: 119/1280000
100: 6433/122880000
101: 143/5120000
102: 143/10240000
103: 33/5120000
104: 11/4096000
105: 1/1024000
106: 3/10240000
107: 1/15360000
108: 1/122880000

Dice: [4, 12, 12, 20, 20, 20, 20]
7: 1/1
8: 92159999/92160000
9: 11519999/11520000
10: 2559999/2560000
11: 767999/768000
12: 92159671/92160000
13: 5759951/5760000
14: 383993/384000
15: 639977/640000
16: 6143593/6144000
17: 11518669/11520000
18: 23035567/23040000
19: 3838817/3840000
20: 92116049/92160000
21: 5755871/5760000
22: 2301581/2304000
23: 383423/384000
24: 91965889/92160000
25: 11486623/11520000
26: 4589947/4608000
27: 11459921/11520000
28: 91529341/92160000
29: 2854481/2880000
30: 11389441/11520000
31: 2838727/2880000
32: 22626919/23040000
33: 156447/160000
34: 2241227/2304000
35: 1392293/1440000
36: 22119671/23040000
37: 914137/960000
38: 10866833/11520000
39: 2687629/2880000
40: 2359973/2560000
41: 5819/6400
42: 9167/10240
43: 1266929/1440000
44: 19883101/23040000
45: 810923/960000
46: 3168011/3840000
47: 2315159/2880000
48: 36005191/46080000
49: 484813/640000
50: 117187/160000
51: 1355801/1920000
52: 3475497/5120000
53: 624503/960000
54: 477257/768000
55: 568001/960000
56: 2874361/5120000
57: 339703/640000
58: 1/2
59: 300297/640000
60: 2245639/5120000
61: 391999/960000
62: 290743/768000
63: 335497/960000
64: 1644503/5120000
65: 564199/1920000
66: 42813/160000
67: 155187/640000
68: 10074809/46080000
69: 564841/2880000
70: 671989/3840000
71: 149077/960000
72: 3156899/23040000
73: 173071/1440000
74: 1073/10240
75: 581/6400
76: 200027/2560000
77: 192371/2880000
78: 653167/11520000
79: 45863/960000
80: 920329/23040000
81: 47707/1440000
82: 62773/2304000
83: 3553/160000
84: 413081/23040000
85: 41273/2880000
86: 130559/11520000
87: 25519/2880000
88: 630659/92160000
89: 60079/11520000
90: 18053/4608000
91: 33377/11520000
92: 194111/92160000
93: 577/384000
94: 2419/2304000
95: 4129/5760000
96: 43951/92160000
97: 1183/3840000
98: 4433/23040000
99: 1331/11520000
100: 407/6144000
101: 23/640000
102: 7/384000
103: 49/5760000
104: 329/92160000
105: 1/768000
106: 1/2560000
107: 1/11520000
108: 1/92160000

Dice: [6, 12, 12, 20, 20, 20, 20]
7: 1/1
8: 138239999/138240000
9: 17279999/17280000
10: 3839999/3840000
11: 1151999/1152000
12: 4607989/4608000
13: 1919989/1920000
14: 27647657/27648000
15: 4319893/4320000
16: 5119763/5120000
17: 3455717/3456000
18: 69110441/69120000
19: 1919569/1920000
20: 13819133/13824000
21: 17270741/17280000
22: 15347803/15360000
23: 8630071/8640000
24: 138014951/138240000
25: 1915657/1920000
26: 22968853/23040000
27: 5736107/5760000
28: 34370263/34560000
29: 17156147/17280000
30: 136962757/138240000
31: 2846101/2880000
32: 11349149/11520000
33: 188449/192000
34: 263833/270000
35: 8398513/8640000
36: 927451/960000
37: 8287573/8640000
38: 32877371/34560000
39: 904631/960000
40: 32215723/34560000
41: 7955501/8640000
42: 23247/25600
43: 7724573/8640000
44: 15182579/17280000
45: 827309/960000
46: 9717253/11520000
47: 2372597/2880000
48: 18494669/23040000
49: 3370691/4320000
50: 13071793/17280000
51: 87773/120000
52: 1354093/1920000
53: 108483/160000
54: 14972467/23040000
55: 357623/576000
56: 1513583/2560000
57: 808001/1440000
58: 1528247/2880000
59: 1/2
60: 1351753/2880000
61: 631999/1440000
62: 1046417/2560000
63: 218377/576000
64: 8067533/23040000
65: 51517/160000
66: 565907/1920000
67: 32227/120000
68: 4208207/17280000
69: 949309/4320000
70: 4545331/23040000
71: 507403/2880000
72: 1802747/11520000
73: 132691/960000
74: 2097421/17280000
75: 915427/8640000
76: 2353/25600
77: 684499/8640000
78: 2344277/34560000
79: 55369/960000
80: 1682629/34560000
81: 352427/8640000
82: 32549/960000
83: 241487/8640000
84: 6167/270000
85: 3551/192000
86: 170851/11520000
87: 33899/2880000
88: 1277243/138240000
89: 123853/17280000
90: 189737/34560000
91: 23893/5760000
92: 71147/23040000
93: 4343/1920000
94: 225049/138240000
95: 9929/8640000
96: 12197/15360000
97: 9259/17280000
98: 4867/13824000
99: 431/1920000
100: 9559/69120000
101: 283/3456000
102: 237/5120000
103: 107/4320000
104: 343/27648000
105: 11/1920000
106: 11/4608000
107: 1/1152000
108: 1/3840000
109: 1/17280000
110: 1/138240000

Dice: [8, 12, 12, 20, 20, 20, 20]
7: 1/1
8: 184319999/184320000
9: 23039999/23040000
10: 5119999/5120000
11: 1535999/1536000
12: 6143989/6144000
13: 2559989/2560000
14: 15359857/15360000
15: 7679857/7680000
16: 92156783/92160000
17: 23038571/23040000
18: 46075147/46080000
19: 7678679/7680000
20: 23033743/23040000
21: 23030411/23040000
22: 15350459/15360000
23: 7673047/7680000
24: 30680323/30720000
25: 4599673/4608000
26: 9193109/9216000
27: 22962611/23040000
28: 18349523/18432000
29: 7634849/7680000
30: 45728617/46080000
31: 2534981/2560000
32: 182037017/184320000
33: 5670527/5760000
34: 2824447/2880000
35: 5623313/5760000
36: 1491553/1536000
37: 1852819/1920000
38: 306569/320000
39: 1094443/1152000
40: 10839857/11520000
41: 1786987/1920000
42: 5294927/5760000
43: 5221487/5760000
44: 20561429/23040000
45: 1683773/1920000
46: 1651409/1920000
47: 1616339/1920000
48: 25257131/30720000
49: 615257/768000
50: 5980499/7680000
51: 8697721/11520000
52: 8410583/11520000
53: 540689/768000
54: 5198773/7680000
55: 830601/1280000
56: 3174929/5120000
57: 453623/768000
58: 861257/1536000
59: 2036893/3840000
60: 1/2
61: 1803107/3840000
62: 674743/1536000
63: 314377/768000
64: 1945071/5120000
65: 449399/1280000
66: 2481227/7680000
67: 227311/768000
68: 3109417/11520000
69: 2822279/11520000
70: 1699501/7680000
71: 152743/768000
72: 5462869/30720000
73: 303661/1920000
74: 268591/1920000
75: 236227/1920000
76: 2478571/23040000
77: 538513/5760000
78: 465073/5760000
79: 133013/1920000
80: 680143/11520000
81: 57557/1152000
82: 13431/320000
83: 67181/1920000
84: 44447/1536000
85: 136687/5760000
86: 55553/2880000
87: 89473/5760000
88: 2282983/184320000
89: 25019/2560000
90: 351383/46080000
91: 45151/7680000
92: 82477/18432000
93: 77389/23040000
94: 22891/9216000
95: 8327/4608000
96: 39677/30720000
97: 6953/7680000
98: 9541/15360000
99: 9589/23040000
100: 6257/23040000
101: 1321/7680000
102: 4853/46080000
103: 1429/23040000
104: 3217/92160000
105: 143/7680000
106: 143/15360000
107: 11/2560000
108: 11/6144000
109: 1/1536000
110: 1/5120000
111: 1/23040000
112: 1/184320000

Dice: [12, 12, 12, 20, 20, 20, 20]
7: 1/1
8: 276479999/276480000
9: 34559999/34560000
10: 7679999/7680000
11: 2303999/2304000
12: 9215989/9216000
13: 3839989/3840000
14: 23039857/23040000
15: 11519857/11520000
16: 6143857/6144000
17: 3455857/3456000
18: 34557569/34560000
19: 1919779/1920000
20: 18428641/18432000
21: 11516771/11520000
22: 7676773/7680000
23: 11512909/11520000
24: 92078611/92160000
25: 1917613/1920000
26: 8625139/8640000
27: 17239531/17280000
28: 275611279/276480000
29: 34416289/34560000
30: 22914809/23040000
31: 11439173/11520000
32: 45667151/46080000
33: 11389577/11520000
34: 22713629/23040000
35: 33953173/34560000
36: 270515701/276480000
37: 4206469/4320000
38: 33462409/34560000
39: 461719/480000
40: 21995449/23040000
41: 2725669/2880000
42: 3598427/3840000
43: 2668691/2880000
44: 21080843/23040000
45: 86597/96000
46: 30683741/34560000
47: 3768323/4320000
48: 39416969/46080000
49: 964397/1152000
50: 2354531/2880000
51: 509831/640000
52: 17841811/23040000
53: 4325291/5760000
54: 43577/60000
55: 12105727/17280000
56: 93153913/138240000
57: 1861277/2880000
58: 7118773/11520000
59: 188483/320000
60: 8595497/15360000
61: 1017371/1920000
62: 1/2
63: 902629/1920000
64: 6764503/15360000
65: 131517/320000
66: 4401227/11520000
67: 1018723/2880000
68: 45086087/138240000
69: 5174273/17280000
70: 16423/60000
71: 1434709/5760000
72: 5198189/23040000
73: 130169/640000
74: 525469/2880000
75: 187603/1152000
76: 6663031/46080000
77: 551677/4320000
78: 3876259/34560000
79: 9403/96000
80: 1959157/23040000
81: 211309/2880000
82: 241573/3840000
83: 154331/2880000
84: 1044551/23040000
85: 18281/480000
86: 1097591/34560000
87: 113531/4320000
88: 5964299/276480000
89: 606827/34560000
90: 326371/23040000
91: 130423/11520000
92: 412849/46080000
93: 80827/11520000
94: 125191/23040000
95: 143711/34560000
96: 868721/276480000
97: 40469/17280000
98: 14861/8640000
99: 2387/1920000
100: 81389/92160000
101: 7091/11520000
102: 3227/7680000
103: 3229/11520000
104: 3359/18432000
105: 221/1920000
106: 2431/34560000
107: 143/3456000
108: 143/6144000
109: 143/11520000
110: 143/23040000
111: 11/3840000
112: 11/9216000
113: 1/2304000
114: 1/7680000
115: 1/34560000
116: 1/276480000

Dice: [4, 4, 20, 20, 20, 20, 20]
7: 1/1
8: 51199999/51200000
9: 6399999/6400000
10: 12799991/12800000
11: 1279997/1280000
12: 6399959/6400000
13: 6399903/6400000
14: 12799589/12800000
15: 6399601/6400000
16: 3199639/3200000
17: 6398767/6400000
18: 12795987/12800000
19: 1279373/1280000
20: 6395269/6400000
21: 6393071/6400000
22: 511209/512000
23: 6386209/6400000
24: 1595287/1600000
25: 6374687/6400000
26: 12733103/12800000
27: 6356433/6400000
28: 50751901/51200000
29: 1582209/1600000
30: 1262113/1280000
31: 1572183/1600000
32: 6262871/6400000
33: 2493/2560
34: 6197129/6400000
35: 1539067/1600000
36: 1221887/1280000
37: 1514041/1600000
38: 5996013/6400000
39: 1482143/1600000
40: 5853471/6400000
41: 1442597/1600000
42: 5679057/6400000
43: 1394819/1600000
44: 1094183/1280000
45: 1338481/1600000
46: 5228341/6400000
47: 50943/64000
48: 19808151/25600000
49: 2400949/3200000
50: 1161083/1600000
51: 2239947/3200000
52: 4309233/6400000
53: 2066541/3200000
54: 1976123/3200000
55: 376759/640000
56: 3580027/6400000
57: 1695253/3200000
58: 1/2
59: 1504747/3200000
60: 2819973/6400000
61: 263241/640000
62: 1223877/3200000
63: 1133459/3200000
64: 2090767/6400000
65: 960053/3200000
66: 438917/1600000
67: 799051/3200000
68: 5791849/25600000
69: 13057/64000
70: 1171659/6400000
71: 261519/1600000
72: 185817/1280000
73: 205181/1600000
74: 720943/6400000
75: 157403/1600000
76: 546529/6400000
77: 117857/1600000
78: 403987/6400000
79: 85959/1600000
80: 58113/1280000
81: 60933/1600000
82: 202871/6400000
83: 67/2560
84: 137129/6400000
85: 27817/1600000
86: 17887/1280000
87: 17791/1600000
88: 448099/51200000
89: 43567/6400000
90: 66897/12800000
91: 25313/6400000
92: 4713/1600000
93: 13791/6400000
94: 791/512000
95: 6929/6400000
96: 4731/6400000
97: 627/1280000
98: 4013/12800000
99: 1233/6400000
100: 361/3200000
101: 399/6400000
102: 411/12800000
103: 97/6400000
104: 41/6400000
105: 3/1280000
106: 9/12800000
107: 1/6400000
108: 1/51200000

Dice: [4, 6, 20, 20, 20, 20, 20]
7: 1/1
8: 76799999/76800000
9: 9599999/9600000
10: 6399997/6400000
11: 639999/640000
12: 76799671/76800000
13: 4799951/4800000
14: 76798321/76800000
15: 9599587/9600000
16: 25597977/25600000
17: 2399671/2400000
18: 25594199/25600000
19: 9596549/9600000
20: 25585909/25600000
21: 4796077/4800000
22: 76709273/76800000
23: 9583991/9600000
24: 76622963/76800000
25: 398749/400000
26: 76479533/76800000
27: 3182451/3200000
28: 6354497/6400000
29: 9512603/9600000
30: 75914869/76800000
31: 4730699/4800000
32: 1885613/1920000
33: 938867/960000
34: 3737/3840
35: 928883/960000
36: 615129/640000
37: 1526017/1600000
38: 1512607/1600000
39: 4492451/4800000
40: 8883277/9600000
41: 4385111/4800000
42: 540329/600000
43: 4254007/4800000
44: 8358179/9600000
45: 1365929/1600000
46: 1336689/1600000
47: 1305321/1600000
48: 30524639/38400000
49: 618183/800000
50: 7193551/9600000
51: 869737/1200000
52: 26848207/38400000
53: 1076163/1600000
54: 24775037/38400000
55: 1480897/2400000
56: 7530329/12800000
57: 536759/960000
58: 4067621/7680000
59: 1/2
60: 3612379/7680000
61: 423241/960000
62: 5269671/12800000
63: 919103/2400000
64: 13624963/38400000
65: 523837/1600000
66: 11551793/38400000
67: 330263/1200000
68: 2406449/9600000
69: 181817/800000
70: 7875361/38400000
71: 294679/1600000
72: 263311/1600000
73: 234071/1600000
74: 1241821/9600000
75: 545993/4800000
76: 59671/600000
77: 414889/4800000
78: 716723/9600000
79: 307549/4800000
80: 87393/1600000
81: 73983/1600000
82: 24871/640000
83: 31117/960000
84: 103/3840
85: 21133/960000
86: 34387/1920000
87: 69301/4800000
88: 885131/76800000
89: 87397/9600000
90: 45503/6400000
91: 17549/3200000
92: 320467/76800000
93: 1251/400000
94: 177037/76800000
95: 16009/9600000
96: 90727/76800000
97: 3923/4800000
98: 14091/25600000
99: 3451/9600000
100: 5801/25600000
101: 329/2400000
102: 2023/25600000
103: 413/9600000
104: 1679/76800000
105: 49/4800000
106: 329/76800000
107: 1/640000
108: 3/6400000
109: 1/9600000
110: 1/76800000

Dice: [6, 6, 20, 20, 20, 20, 20]
7: 1/1
8: 115199999/115200000
9: 14399999/14400000
10: 3199999/3200000
11: 959999/960000
12: 3839989/3840000
13: 1599989/1600000
14: 57599143/57600000
15: 14399573/14400000
16: 12799293/12800000
17: 71993/72000
18: 28795303/28800000
19: 79979/80000
20: 115153043/115200000
21: 14391167/14400000
22: 6394253/6400000
23: 14381527/14400000
24: 114993409/115200000
25: 798033/800000
26: 2870459/2880000
27: 7168363/7200000
28: 1145381/1152000
29: 794067/800000
30: 57055133/57600000
31: 1185679/1200000
32: 113483087/115200000
33: 14134523/14400000
34: 56298151/57600000
35: 7469/7680
36: 55691849/57600000
37: 13829227/14400000
38: 18296153/19200000
39: 13600607/14400000
40: 53854957/57600000
41: 4436873/4800000
42: 2102471/2304000
43: 12952519/14400000
44: 3399007/3840000
45: 12521291/14400000
46: 49109203/57600000
47: 4004741/4800000
48: 977681/1200000
49: 3810491/4800000
50: 14816897/19200000
51: 2155309/2880000
52: 41696359/57600000
53: 134087/192000
54: 4300121/6400000
55: 3093979/4800000
56: 5918857/9600000
57: 940691/1600000
58: 10730329/19200000
59: 2541653/4800000
60: 1/2
61: 2258347/4800000
62: 8469671/19200000
63: 659309/1600000
64: 3681143/9600000
65: 1706021/4800000
66: 2099879/6400000
67: 57913/192000
68: 15903641/57600000
69: 724691/2880000
70: 4383103/19200000
71: 989509/4800000
72: 222319/1200000
73: 795259/4800000
74: 8490797/57600000
75: 1878709/14400000
76: 440993/3840000
77: 1447481/14400000
78: 201529/2304000
79: 363127/4800000
80: 3745043/57600000
81: 799393/14400000
82: 903847/19200000
83: 570773/14400000
84: 1908151/57600000
85: 211/7680
86: 1301849/57600000
87: 265477/14400000
88: 1716913/115200000
89: 14321/1200000
90: 544867/57600000
91: 5933/800000
92: 6619/1152000
93: 31637/7200000
94: 9541/2880000
95: 1967/800000
96: 206591/115200000
97: 18473/14400000
98: 5747/6400000
99: 8833/14400000
100: 46957/115200000
101: 21/80000
102: 4697/28800000
103: 7/72000
104: 707/12800000
105: 427/14400000
106: 857/57600000
107: 11/1600000
108: 11/3840000
109: 1/960000
110: 1/3200000
111: 1/14400000
112: 1/115200000

Dice: [4, 8, 20, 20, 20, 20, 20]
7: 1/1
8: 102399999/102400000
9: 12799999/12800000
10: 25599991/25600000
11: 2559997/2560000
12: 102399671/102400000
13: 6399951/6400000
14: 1279979/1280000
15: 6399793/6400000
16: 12799237/12800000
17: 1279867/1280000
18: 3199447/3200000
19: 6398233/6400000
20: 12794547/12800000
21: 6395919/6400000
22: 6394053/6400000
23: 6391537/6400000
24: 12776417/12800000
25: 6383879/6400000
26: 1594583/1600000
27: 6371321/6400000
28: 20360217/20480000
29: 12703523/12800000
30: 25354233/25600000
31: 2529033/2560000
32: 100854869/102400000
33: 1570167/1600000
34: 6253847/6400000
35: 2489/2560
36: 6186153/6400000
37: 1536083/1600000
38: 6096571/6400000
39: 302121/320000
40: 5981453/6400000
41: 1478319/1600000
42: 1167507/1280000
43: 1438481/1600000
44: 5662193/6400000
45: 1390539/1600000
46: 5453699/6400000
47: 1334197/1600000
48: 41691811/51200000
49: 5077911/6400000
50: 9872673/12800000
51: 4787097/6400000
52: 37045083/51200000
53: 446749/640000
54: 4298289/6400000
55: 2061871/3200000
56: 394463/640000
57: 1880897/3200000
58: 3576123/6400000
59: 1694271/3200000
60: 1/2
61: 1505729/3200000
62: 2823877/6400000
63: 1319103/3200000
64: 245537/640000
65: 1138129/3200000
66: 2101711/6400000
67: 193251/640000
68: 14154917/51200000
69: 1612903/6400000
70: 2927327/12800000
71: 1322089/6400000
72: 9508189/51200000
73: 265803/1600000
74: 946301/6400000
75: 209461/1600000
76: 737807/6400000
77: 161519/1600000
78: 112493/1280000
79: 121681/1600000
80: 418547/6400000
81: 17879/320000
82: 303429/6400000
83: 63917/1600000
84: 213847/6400000
85: 71/2560
86: 146153/6400000
87: 29833/1600000
88: 1545131/102400000
89: 30967/2560000
90: 245767/25600000
91: 96477/12800000
92: 119783/20480000
93: 28679/6400000
94: 5417/1600000
95: 16121/6400000
96: 23583/12800000
97: 8463/6400000
98: 5947/6400000
99: 4081/6400000
100: 5453/12800000
101: 1767/6400000
102: 553/3200000
103: 133/1280000
104: 763/12800000
105: 207/6400000
106: 21/1280000
107: 49/6400000
108: 329/102400000
109: 3/2560000
110: 9/25600000
111: 1/12800000
112: 1/102400000

Dice: [6, 8, 20, 20, 20, 20, 20]
7: 1/1
8: 153599999/153600000
9: 19199999/19200000
10: 12799997/12800000
11: 1279999/1280000
12: 5119989/5120000
13: 6399967/6400000
14: 30719657/30720000
15: 4799893/4800000
16: 76796801/76800000
17: 9599293/9600000
18: 76790459/76800000
19: 799839/800000
20: 25591943/25600000
21: 3198473/3200000
22: 15349187/15360000
23: 959027/960000
24: 15338069/15360000
25: 1916213/1920000
26: 76594403/76800000
27: 1195709/1200000
28: 152876927/153600000
29: 19082579/19200000
30: 25399067/25600000
31: 19008751/19200000
32: 37919621/38400000
33: 18901273/19200000
34: 150654869/153600000
35: 1562519/1600000
36: 3731/3840
37: 4636193/4800000
38: 9209071/9600000
39: 1522811/1600000
40: 4527553/4800000
41: 4481581/4800000
42: 8860453/9600000
43: 1457743/1600000
44: 359197/400000
45: 4241449/4800000
46: 8332699/9600000
47: 816997/960000
48: 12791471/15360000
49: 520459/640000
50: 3042737/3840000
51: 7394911/9600000
52: 9562141/12800000
53: 2312529/3200000
54: 17849747/25600000
55: 1073457/1600000
56: 24719597/38400000
57: 1478071/2400000
58: 7518857/12800000
59: 2680897/4800000
60: 20326441/38400000
61: 1/2
62: 18073559/38400000
63: 2119103/4800000
64: 5281143/12800000
65: 921929/2400000
66: 13680403/38400000
67: 526543/1600000
68: 7750253/25600000
69: 887471/3200000
70: 3237859/12800000
71: 2205089/9600000
72: 797263/3840000
73: 119541/640000
74: 2568529/15360000
75: 143003/960000
76: 1267301/9600000
77: 558551/4800000
78: 40803/400000
79: 142257/1600000
80: 739547/9600000
81: 318419/4800000
82: 272447/4800000
83: 77189/1600000
84: 390929/9600000
85: 163807/4800000
86: 109/3840
87: 37481/1600000
88: 2945131/153600000
89: 298727/19200000
90: 480379/38400000
91: 191249/19200000
92: 200933/25600000
93: 117421/19200000
94: 723073/153600000
95: 4291/1200000
96: 205597/76800000
97: 3787/1920000
98: 21931/15360000
99: 973/960000
100: 10813/15360000
101: 1527/3200000
102: 8057/25600000
103: 161/800000
104: 9541/76800000
105: 707/9600000
106: 3199/76800000
107: 107/4800000
108: 343/30720000
109: 33/6400000
110: 11/5120000
111: 1/1280000
112: 3/12800000
113: 1/19200000
114: 1/153600000

Dice: [8, 8, 20, 20, 20, 20, 20]
7: 1/1
8: 204799999/204800000
9: 25599999/25600000
10: 51199991/51200000
11: 5119997/5120000
12: 20479967/20480000
13: 25599901/25600000
14: 51199571/51200000
15: 25599571/25600000
16: 204793567/204800000
17: 6399643/6400000
18: 12798789/12800000
19: 6399013/6400000
20: 3199223/3200000
21: 6397627/6400000
22: 12792947/12800000
23: 1278977/1280000
24: 6392741/6400000
25: 6389899/6400000
26: 2554477/2560000
27: 6381429/6400000
28: 204012421/204800000
29: 25471281/25600000
30: 50867561/51200000
31: 25387807/25600000
32: 101327977/102400000
33: 25264859/25600000
34: 50369621/51200000
35: 5018033/5120000
36: 199833317/204800000
37: 497/512
38: 6175209/6400000
39: 306623/320000
40: 6083803/6400000
41: 1507201/1600000
42: 5967053/6400000
43: 1474543/1600000
44: 5821823/6400000
45: 1434429/1600000
46: 5645617/6400000
47: 1386339/1600000
48: 17397871/20480000
49: 10640067/12800000
50: 20780071/25600000
51: 2024777/2560000
52: 39368447/51200000
53: 9545401/12800000
54: 18469251/25600000
55: 8910839/12800000
56: 68602123/102400000
57: 2057321/3200000
58: 1968603/3200000
59: 1878071/3200000
60: 714463/1280000
61: 1693313/3200000
62: 1/2
63: 1506687/3200000
64: 565537/1280000
65: 1321929/3200000
66: 1231397/3200000
67: 1142679/3200000
68: 33797877/102400000
69: 3889161/12800000
70: 7130749/25600000
71: 3254599/12800000
72: 11831553/51200000
73: 535223/2560000
74: 4819929/25600000
75: 2159933/12800000
76: 3082129/20480000
77: 213661/1600000
78: 754383/6400000
79: 165571/1600000
80: 578177/6400000
81: 125457/1600000
82: 432947/6400000
83: 92799/1600000
84: 316197/6400000
85: 13377/320000
86: 224791/6400000
87: 15/512
88: 4966683/204800000
89: 101967/5120000
90: 830379/51200000
91: 335141/25600000
92: 1072023/102400000
93: 212193/25600000
94: 332439/51200000
95: 128719/25600000
96: 787579/204800000
97: 18571/6400000
98: 5523/2560000
99: 10101/6400000
100: 7259/6400000
101: 1023/1280000
102: 7053/12800000
103: 2373/6400000
104: 777/3200000
105: 987/6400000
106: 1211/12800000
107: 357/6400000
108: 6433/204800000
109: 429/25600000
110: 429/51200000
111: 99/25600000
112: 33/20480000
113: 3/5120000
114: 9/51200000
115: 1/25600000
116: 1/204800000

Dice: [4, 12, 20, 20, 20, 20, 20]
7: 1/1
8: 153599999/153600000
9: 19199999/19200000
10: 12799997/12800000
11: 1279999/1280000
12: 153599671/153600000
13: 9599951/9600000
14: 639993/640000
15: 3199931/3200000
16: 10239593/10240000
17: 19198669/19200000
18: 38395567/38400000
19: 6398817/6400000
20: 9597253/9600000
21: 6397247/6400000
22: 38375801/38400000
23: 255769/256000
24: 3835139/3840000
25: 766661/768000
26: 7661863/7680000
27: 19139507/19200000
28: 152963237/153600000
29: 9548297/9600000
30: 6355743/6400000
31: 9515687/9600000
32: 151904053/153600000
33: 18936023/19200000
34: 37748491/38400000
35: 18801433/19200000
36: 149730349/153600000
37: 7447/7680
38: 18503707/19200000
39: 1531131/1600000
40: 6075259/6400000
41: 1504921/1600000
42: 17872199/19200000
43: 4416029/4800000
44: 17433821/19200000
45: 4295119/4800000
46: 16903411/19200000
47: 4150537/4800000
48: 13021139/15360000
49: 1592621/1920000
50: 518391/640000
51: 1515347/1920000
52: 58928743/76800000
53: 595371/800000
54: 13824919/19200000
55: 1667723/2400000
56: 51365191/76800000
57: 6162743/9600000
58: 5898289/9600000
59: 1876163/3200000
60: 10709233/19200000
61: 5077999/9600000
62: 1/2
63: 4522001/9600000
64: 8490767/19200000
65: 1323837/3200000
66: 3701711/9600000
67: 3437257/9600000
68: 25434809/76800000
69: 732277/2400000
70: 5375081/19200000
71: 204629/800000
72: 17871257/76800000
73: 404653/1920000
74: 121609/640000
75: 327379/1920000
76: 2338861/15360000
77: 649463/4800000
78: 2296589/19200000
79: 504881/4800000
80: 1766179/19200000
81: 383971/4800000
82: 1327801/19200000
83: 95079/1600000
84: 324741/6400000
85: 68869/1600000
86: 696293/19200000
87: 233/7680
88: 3869651/153600000
89: 398567/19200000
90: 651509/38400000
91: 263977/19200000
92: 1695947/153600000
93: 84313/9600000
94: 44257/6400000
95: 51703/9600000
96: 636763/153600000
97: 60493/19200000
98: 18137/7680000
99: 1339/768000
100: 4861/3840000
101: 231/256000
102: 24199/38400000
103: 2753/6400000
104: 2747/9600000
105: 1183/6400000
106: 4433/38400000
107: 1331/19200000
108: 407/10240000
109: 69/3200000
110: 7/640000
111: 49/9600000
112: 329/153600000
113: 1/1280000
114: 3/12800000
115: 1/19200000
116: 1/153600000

Dice: [6, 12, 20, 20, 20, 20, 20]
7: 1/1
8: 230399999/230400000
9: 28799999/28800000
10: 6399999/6400000
11: 1919999/1920000
12: 7679989/7680000
13: 3199989/3200000
14: 46079657/46080000
15: 7199893/7200000
16: 25599289/25600000
17: 5759717/5760000
18: 115190441/115200000
19: 3199569/3200000
20: 230351329/230400000
21: 1439537/1440000
22: 25587799/25600000
23: 28780127/28800000
24: 230174621/230400000
25: 1597823/1600000
26: 229971403/230400000
27: 28727893/28800000
28: 114817327/115200000
29: 28674733/28800000
30: 9164147/9216000
31: 4765457/4800000
32: 228301447/230400000
33: 28471249/28800000
34: 113567201/115200000
35: 9432527/9600000
36: 56373491/57600000
37: 224459/230400
38: 44652001/46080000
39: 2773513/2880000
40: 27538277/28800000
41: 4552499/4800000
42: 13531703/14400000
43: 13390873/14400000
44: 8822797/9600000
45: 13060949/14400000
46: 321763/360000
47: 4220807/4800000
48: 99490463/115200000
49: 3047999/3600000
50: 7952983/9600000
51: 5824459/7200000
52: 45402781/57600000
53: 1839229/2400000
54: 28543259/38400000
55: 230149/320000
56: 26654611/38400000
57: 4810691/7200000
58: 36943673/57600000
59: 1473457/2400000
60: 7500121/12800000
61: 2676163/4800000
62: 4061477/7680000
63: 1/2
64: 3618523/7680000
65: 2123837/4800000
66: 5299879/12800000
67: 926543/2400000
68: 20656327/57600000
69: 2389309/7200000
70: 11745389/38400000
71: 89851/320000
72: 9856741/38400000
73: 560771/2400000
74: 12197219/57600000
75: 1375541/7200000
76: 1647017/9600000
77: 552001/3600000
78: 15709537/115200000
79: 579193/4800000
80: 38237/360000
81: 1339051/14400000
82: 777203/9600000
83: 1009127/14400000
84: 868297/14400000
85: 247501/4800000
86: 1261723/28800000
87: 106487/2880000
88: 1427999/46080000
89: 5941/230400
90: 1226509/57600000
91: 167473/9600000
92: 1632799/115200000
93: 328751/28800000
94: 2098553/230400000
95: 34543/4800000
96: 51853/9216000
97: 125267/28800000
98: 382673/115200000
99: 72107/28800000
100: 428597/230400000
101: 2177/1600000
102: 225379/230400000
103: 19873/28800000
104: 12201/25600000
105: 463/1440000
106: 48671/230400000
107: 431/3200000
108: 9559/115200000
109: 283/5760000
110: 711/25600000
111: 107/7200000
112: 343/46080000
113: 11/3200000
114: 11/7680000
115: 1/1920000
116: 1/6400000
117: 1/28800000
118: 1/230400000

Dice: [8, 12, 20, 20, 20, 20, 20]
7: 1/1
8: 307199999/307200000
9: 38399999/38400000
10: 25599997/25600000
11: 2559999/2560000
12: 10239989/10240000
13: 12799967/12800000
14: 25599857/25600000
15: 12799857/12800000
16: 153596783/153600000
17: 38398571/38400000
18: 76795147/76800000
19: 12798679/12800000
20: 307149943/307200000
21: 3839041/3840000
22: 3198807/3200000
23: 6396521/6400000
24: 12790067/12800000
25: 19179133/19200000
26: 19171279/19200000
27: 19161091/19200000
28: 306368797/307200000
29: 12754373/12800000
30: 76443773/76800000
31: 12723627/12800000
32: 10162243/10240000
33: 12677539/12800000
34: 75882949/76800000
35: 37832807/38400000
36: 150817201/153600000
37: 12517841/12800000
38: 4983727/5120000
39: 7435001/7680000
40: 59107313/61440000
41: 4584569/4800000
42: 6062651/6400000
43: 4504711/4800000
44: 17829799/19200000
45: 4404941/4800000
46: 1159187/1280000
47: 1427761/1600000
48: 44946993/51200000
49: 5517781/6400000
50: 32455141/38400000
51: 5292603/6400000
52: 62017219/76800000
53: 15107557/19200000
54: 29376649/38400000
55: 4749209/6400000
56: 55146967/76800000
57: 2661439/3840000
58: 8540499/12800000
59: 12299381/19200000
60: 94202123/153600000
61: 1873457/3200000
62: 10698289/19200000
63: 1015049/1920000
64: 1/2
65: 904951/1920000
66: 8501711/19200000
67: 1326543/3200000
68: 59397877/153600000
69: 6900619/19200000
70: 4259501/12800000
71: 1178561/3840000
72: 21653033/76800000
73: 1650791/6400000
74: 9023351/38400000
75: 4092443/19200000
76: 14782781/76800000
77: 1107397/6400000
78: 5944859/38400000
79: 882219/6400000
80: 6253007/51200000
81: 172239/1600000
82: 120813/1280000
83: 395059/4800000
84: 1370201/19200000
85: 295289/4800000
86: 337349/6400000
87: 215431/4800000
88: 2332687/61440000
89: 244999/7680000
90: 136273/5120000
91: 282159/12800000
92: 2782799/153600000
93: 567193/38400000
94: 917051/76800000
95: 122461/12800000
96: 77757/10240000
97: 76373/12800000
98: 356227/76800000
99: 45627/12800000
100: 831203/307200000
101: 38909/19200000
102: 28721/19200000
103: 20867/19200000
104: 9933/12800000
105: 3479/6400000
106: 1193/3200000
107: 959/3840000
108: 50057/307200000
109: 1321/12800000
110: 4853/76800000
111: 1429/38400000
112: 3217/153600000
113: 143/12800000
114: 143/25600000
115: 33/12800000
116: 11/10240000
117: 1/2560000
118: 3/25600000
119: 1/38400000
120: 1/307200000

Dice: [12, 12, 20, 20, 20, 20, 20]
7: 1/1
8: 460799999/460800000
9: 57599999/57600000
10: 12799999/12800000
11: 3839999/3840000
12: 15359989/15360000
13: 6399989/6400000
14: 38399857/38400000
15: 19199857/19200000
16: 10239857/10240000
17: 5759857/5760000
18: 57597569/57600000
19: 3199779/3200000
20: 230374807/230400000
21: 7198789/7200000
22: 3199193/3200000
23: 2399113/2400000
24: 153518501/153600000
25: 1279043/1280000
26: 115080683/115200000
27: 57518633/57600000
28: 91984969/92160000
29: 957581/960000
30: 57409787/57600000
31: 4779463/4800000
32: 9165457/9216000
33: 28599571/28800000
34: 4758011/4800000
35: 28486157/28800000
36: 454597639/460800000
37: 56650117/57600000
38: 37630121/38400000
39: 56206379/57600000
40: 223720309/230400000
41: 247167/256000
42: 110500303/115200000
43: 18279707/19200000
44: 435007133/460800000
45: 13464257/14400000
46: 53279317/57600000
47: 4386653/4800000
48: 69248029/76800000
49: 2842541/3200000
50: 838789/960000
51: 24709867/28800000
52: 96884861/115200000
53: 1579853/1920000
54: 2314003/2880000
55: 22548701/28800000
56: 58466543/76800000
57: 70901/96000
58: 4574803/6400000
59: 1656343/2400000
60: 25521811/38400000
61: 3064199/4800000
62: 11740499/19200000
63: 8410691/14400000
64: 128165191/230400000
65: 5070751/9600000
66: 1/2
67: 4529249/9600000
68: 102234809/230400000
69: 5989309/14400000
70: 7459501/19200000
71: 1735801/4800000
72: 12878189/38400000
73: 743657/2400000
74: 1825197/6400000
75: 25099/96000
76: 18333457/76800000
77: 6251299/28800000
78: 565997/2880000
79: 340147/1920000
80: 18315139/115200000
81: 4090133/28800000
82: 121211/960000
83: 357459/3200000
84: 7551971/76800000
85: 413347/4800000
86: 4320683/57600000
87: 935743/14400000
88: 25792867/460800000
89: 920293/19200000
90: 4699697/115200000
91: 8833/256000
92: 6679691/230400000
93: 1393621/57600000
94: 769879/38400000
95: 949883/57600000
96: 6202361/460800000
97: 313843/28800000
98: 41989/4800000
99: 200429/28800000
100: 50543/9216000
101: 20537/4800000
102: 190213/57600000
103: 2419/960000
104: 175031/92160000
105: 81367/57600000
106: 119317/115200000
107: 957/1280000
108: 81499/153600000
109: 887/2400000
110: 807/3200000
111: 1211/7200000
112: 25193/230400000
113: 221/3200000
114: 2431/57600000
115: 143/5760000
116: 143/10240000
117: 143/19200000
118: 143/38400000
119: 11/6400000
120: 11/15360000
121: 1/3840000
122: 1/12800000
123: 1/57600000
124: 1/460800000

Dice: [4, 20, 20, 20, 20, 20, 20]
7: 1/1
8: 255999999/256000000
9: 31999999/32000000
10: 63999991/64000000
11: 6399997/6400000
12: 255999671/256000000
13: 15999951/16000000
14: 3199979/3200000
15: 15999793/16000000
16: 51198779/51200000
17: 31998669/32000000
18: 63995567/64000000
19: 31996451/32000000
20: 255956047/256000000
21: 1599587/1600000
22: 3998487/4000000
23: 1599133/1600000
24: 255805231/256000000
25: 31966427/32000000
26: 12781779/12800000
27: 31939093/32000000
28: 255357133/256000000
29: 996727/1000000
30: 31865017/32000000
31: 49731/50000
32: 254260429/256000000
33: 31727861/32000000
34: 63324703/64000000
35: 31584507/32000000
36: 50388337/51200000
37: 15692629/16000000
38: 31260371/32000000
39: 15558107/16000000
40: 247607301/256000000
41: 1230503/1280000
42: 61098631/64000000
43: 30309281/32000000
44: 240325437/256000000
45: 7435453/8000000
46: 5882221/6400000
47: 7261787/8000000
48: 114594919/128000000
49: 14107437/16000000
50: 3468109/4000000
51: 2723831/3200000
52: 106780367/128000000
53: 204027/250000
54: 25499989/32000000
55: 776551/1000000
56: 19332547/25600000
57: 11724899/16000000
58: 2837997/4000000
59: 10965277/16000000
60: 84528743/128000000
61: 1015591/1600000
62: 19472673/32000000
63: 4654549/8000000
64: 71008151/128000000
65: 8439001/16000000
66: 1/2
67: 7560999/16000000
68: 56991849/128000000
69: 3345451/8000000
70: 12527327/32000000
71: 584409/1600000
72: 43471257/128000000
73: 5034723/16000000
74: 1162003/4000000
75: 4275101/16000000
76: 6267453/25600000
77: 223449/1000000
78: 6500011/32000000
79: 45973/250000
80: 21219633/128000000
81: 476169/3200000
82: 531891/4000000
83: 1892563/16000000
84: 13405081/128000000
85: 738213/8000000
86: 517779/6400000
87: 564547/8000000
88: 15674563/256000000
89: 1690719/32000000
90: 2901369/64000000
91: 49497/1280000
92: 8392699/256000000
93: 441893/16000000
94: 739629/32000000
95: 307371/16000000
96: 811663/51200000
97: 415493/32000000
98: 675297/64000000
99: 272139/32000000
100: 1739571/256000000
101: 269/50000
102: 134983/32000000
103: 3273/1000000
104: 642867/256000000
105: 60907/32000000
106: 18221/12800000
107: 33573/32000000
108: 194769/256000000
109: 867/1600000
110: 1513/4000000
111: 413/1600000
112: 43953/256000000
113: 3549/32000000
114: 4433/64000000
115: 1331/32000000
116: 1221/51200000
117: 207/16000000
118: 21/3200000
119: 49/16000000
120: 329/256000000
121: 3/6400000
122: 9/64000000
123: 1/32000000
124: 1/256000000

Dice: [6, 20, 20, 20, 20, 20, 20]
7: 1/1
8: 383999999/384000000
9: 47999999/48000000
10: 31999997/32000000
11: 3199999/3200000
12: 12799989/12800000
13: 15999967/16000000
14: 76799657/76800000
15: 11999893/12000000
16: 127997867/128000000
17: 9599717/9600000
18: 191990441/192000000
19: 15998707/16000000
20: 3999493/4000000
21: 15996913/16000000
22: 25592677/25600000
23: 2998757/3000000
24: 383774291/384000000
25: 3197381/3200000
26: 47946211/48000000
27: 9585493/9600000
28: 3991961/4000000
29: 15957773/16000000
30: 127561531/128000000
31: 7964813/8000000
32: 76370621/76800000
33: 47662087/48000000
34: 3964857/4000000
35: 47478121/48000000
36: 189437327/192000000
37: 3147967/3200000
38: 125482937/128000000
39: 7811079/8000000
40: 124394381/128000000
41: 46397573/48000000
42: 7378033/7680000
43: 15263499/16000000
44: 90856403/96000000
45: 45023171/48000000
46: 118861063/128000000
47: 1469169/1600000
48: 58036821/64000000
49: 3577397/4000000
50: 42277091/48000000
51: 2598223/3000000
52: 5441547/6400000
53: 2499817/3000000
54: 156513401/192000000
55: 6367721/8000000
56: 49643219/64000000
57: 150869/200000
58: 23424823/32000000
59: 2126339/3000000
60: 32864611/48000000
61: 2639229/4000000
62: 24355379/38400000
63: 14594911/24000000
64: 37216897/64000000
65: 2218183/4000000
66: 4218673/8000000
67: 1/2
68: 3781327/8000000
69: 1781817/4000000
70: 26783103/64000000
71: 9405089/24000000
72: 14044621/38400000
73: 1360771/4000000
74: 15135389/48000000
75: 873661/3000000
76: 8575177/32000000
77: 49131/200000
78: 14356781/64000000
79: 1632279/8000000
80: 35486599/192000000
81: 500183/3000000
82: 958453/6400000
83: 401777/3000000
84: 5722909/48000000
85: 422603/4000000
86: 5963179/64000000
87: 130831/1600000
88: 9138937/128000000
89: 2976829/48000000
90: 5143597/96000000
91: 736501/16000000
92: 301967/7680000
93: 1602427/48000000
94: 3605619/128000000
95: 188921/8000000
96: 2517063/128000000
97: 52033/3200000
98: 2562673/192000000
99: 521879/48000000
100: 35143/4000000
101: 337913/48000000
102: 429379/76800000
103: 35187/8000000
104: 438469/128000000
105: 42227/16000000
106: 8039/4000000
107: 14507/9600000
108: 53789/48000000
109: 2619/3200000
110: 225709/384000000
111: 1243/3000000
112: 7323/25600000
113: 3087/16000000
114: 507/4000000
115: 1293/16000000
116: 9559/192000000
117: 283/9600000
118: 2133/128000000
119: 107/12000000
120: 343/76800000
121: 33/16000000
122: 11/12800000
123: 1/3200000
124: 3/32000000
125: 1/48000000
126: 1/384000000

Dice: [8, 20, 20, 20, 20, 20, 20]
7: 1/1
8: 511999999/512000000
9: 63999999/64000000
10: 127999991/128000000
11: 12799997/12800000
12: 51199967/51200000
13: 63999901/64000000
14: 127999571/128000000
15: 63999571/64000000
16: 255996783/256000000
17: 63998571/64000000
18: 127995147/128000000
19: 63996037/64000000
20: 255974971/256000000
21: 63990409/64000000
22: 127971359/128000000
23: 63979111/64000000
24: 255880639/256000000
25: 63958167/64000000
26: 127884687/128000000
27: 63921753/64000000
28: 127790591/128000000
29: 63861691/64000000
30: 127638929/128000000
31: 63766933/64000000
32: 254808781/256000000
33: 101797/102400
34: 127054737/128000000
35: 63412347/64000000
36: 253101057/256000000
37: 63113119/64000000
38: 25169089/25600000
39: 62700721/64000000
40: 249774493/256000000
41: 62147833/64000000
42: 123619373/128000000
43: 12285099/12800000
44: 243966369/256000000
45: 60504387/64000000
46: 119920841/128000000
47: 59356429/64000000
48: 18780611/20480000
49: 28978343/32000000
50: 57155977/64000000
51: 28142729/32000000
52: 110687643/128000000
53: 5433033/6400000
54: 53244861/64000000
55: 26043971/32000000
56: 101721551/128000000
57: 24782627/32000000
58: 9640793/12800000
59: 23390093/32000000
60: 90595739/128000000
61: 21880809/32000000
62: 42176649/64000000
63: 32439/51200
64: 77768447/128000000
65: 18594911/32000000
66: 35472673/64000000
67: 16870097/32000000
68: 1/2
69: 15129903/32000000
70: 28527327/64000000
71: 13405089/32000000
72: 50231553/128000000
73: 18761/51200
74: 21823351/64000000
75: 10119191/32000000
76: 37404261/128000000
77: 8609907/32000000
78: 3159207/12800000
79: 7217373/32000000
80: 26278449/128000000
81: 5956029/32000000
82: 10755139/64000000
83: 966967/6400000
84: 17312357/128000000
85: 3857271/32000000
86: 6844023/64000000
87: 3021657/32000000
88: 1699389/20480000
89: 4643571/64000000
90: 8079159/128000000
91: 3495613/64000000
92: 12033631/256000000
93: 514901/12800000
94: 4380627/128000000
95: 1852167/64000000
96: 6225507/256000000
97: 1299279/64000000
98: 430911/25600000
99: 886881/64000000
100: 2898943/256000000
101: 587653/64000000
102: 945263/128000000
103: 603/102400
104: 1191219/256000000
105: 233067/64000000
106: 361071/128000000
107: 138309/64000000
108: 209409/128000000
109: 78247/64000000
110: 115313/128000000
111: 41833/64000000
112: 119361/256000000
113: 20889/64000000
114: 28641/128000000
115: 9591/64000000
116: 25029/256000000
117: 3963/64000000
118: 4853/128000000
119: 1429/64000000
120: 3217/256000000
121: 429/64000000
122: 429/128000000
123: 99/64000000
124: 33/51200000
125: 3/12800000
126: 9/128000000
127: 1/64000000
128: 1/512000000

Dice: [12, 20, 20, 20, 20, 20, 20]
7: 1/1
8: 767999999/768000000
9: 95999999/96000000
10: 63999997/64000000
11: 6399999/6400000
12: 25599989/25600000
13: 31999967/32000000
14: 63999857/64000000
15: 31999857/32000000
16: 51199571/51200000
17: 9599857/9600000
18: 95997569/96000000
19: 15999337/16000000
20: 767949613/768000000
21: 95990311/96000000
22: 63990313/64000000
23: 31992899/32000000
24: 255918391/256000000
25: 7996403/8000000
26: 95940127/96000000
27: 23979551/24000000
28: 255706137/256000000
29: 95853431/96000000
30: 191614721/192000000
31: 31916531/32000000
32: 255140931/256000000
33: 1991449/2000000
34: 3978409/4000000
35: 1191893/1200000
36: 761559247/768000000
37: 31669461/32000000
38: 189575479/192000000
39: 94528561/96000000
40: 50253961/51200000
41: 15645949/16000000
42: 15578673/16000000
43: 15501667/16000000
44: 739874423/768000000
45: 18377929/19200000
46: 60813861/64000000
47: 90472643/96000000
48: 44820161/48000000
49: 29573087/32000000
50: 11694039/12800000
51: 28864913/32000000
52: 227692003/256000000
53: 42036071/48000000
54: 41327983/48000000
55: 2704503/3200000
56: 318038021/384000000
57: 2430629/3000000
58: 25316279/32000000
59: 385513/500000
60: 19198123/25600000
61: 11646179/16000000
62: 33838319/48000000
63: 32699191/48000000
64: 84066543/128000000
65: 3031981/4800000
66: 58176649/96000000
67: 4639229/8000000
68: 212528743/384000000
69: 25285813/48000000
70: 1/2
71: 22714187/48000000
72: 171471257/384000000
73: 3360771/8000000
74: 37823351/96000000
75: 1768019/4800000
76: 43933457/128000000
77: 15300809/48000000
78: 14161681/48000000
79: 4353821/16000000
80: 6401877/25600000
81: 114487/500000
82: 6683721/32000000
83: 569371/3000000
84: 65961979/384000000
85: 495497/3200000
86: 6672017/48000000
87: 5963929/48000000
88: 28307997/256000000
89: 3135087/32000000
90: 1105961/12800000
91: 2426913/32000000
92: 3179839/48000000
93: 5527357/96000000
94: 3186139/64000000
95: 822071/19200000
96: 28125577/768000000
97: 498333/16000000
98: 421327/16000000
99: 354051/16000000
100: 946039/51200000
101: 1471439/96000000
102: 2424521/192000000
103: 330539/32000000
104: 6440753/768000000
105: 8107/1200000
106: 21591/4000000
107: 8551/2000000
108: 859069/256000000
109: 83469/32000000
110: 385279/192000000
111: 146569/96000000
112: 293863/256000000
113: 20449/24000000
114: 59873/96000000
115: 3597/8000000
116: 81609/256000000
117: 7101/32000000
118: 9687/64000000
119: 9689/96000000
120: 50387/768000000
121: 663/16000000
122: 2431/96000000
123: 143/9600000
124: 429/51200000
125: 143/32000000
126: 143/64000000
127: 33/32000000
128: 11/25600000
129: 1/6400000
130: 3/64000000
131: 1/96000000
132: 1/768000000

Dice: [20, 20, 20, 20, 20, 20, 20]
7: 1/1
8: 1279999999/1280000000
9: 159999999/160000000
10: 319999991/320000000
11: 31999997/32000000
12: 127999967/128000000
13: 159999901/160000000
14: 319999571/320000000
15: 159999571/160000000
16: 255998713/256000000
17: 15999857/16000000
18: 159997569/160000000
19: 79998011/80000000
20: 319987403/320000000
21: 15999031/16000000
22: 31997093/32000000
23: 79989341/80000000
24: 1279754843/1280000000
25: 159956737/160000000
26: 12795193/12800000
27: 6396711/6400000
28: 1279111977/1280000000
29: 79926001/80000000
30: 79902467/80000000
31: 15974563/16000000
32: 255474547/256000000
33: 159579961/160000000
34: 318934991/320000000
35: 159330551/160000000
36: 50932821/51200000
37: 3179331/3200000
38: 158730083/160000000
39: 79225157/80000000
40: 1264971779/1280000000
41: 31547477/32000000
42: 62916601/64000000
43: 31355387/32000000
44: 249898397/256000000
45: 15551277/16000000
46: 120897/125000
47: 15388499/16000000
48: 122332469/128000000
49: 7591619/8000000
50: 30125603/32000000
51: 7464773/8000000
52: 236524999/256000000
53: 5848799/6400000
54: 57786261/64000000
55: 28512117/32000000
56: 56200439/64000000
57: 27656903/32000000
58: 54363703/64000000
59: 5334997/6400000
60: 209091793/256000000
61: 798961/1000000
62: 24966523/32000000
63: 190131/250000
64: 94714983/128000000
65: 2299399/3200000
66: 11142151/16000000
67: 10775869/16000000
68: 83194369/128000000
69: 1251711/2000000
70: 19240793/32000000
71: 1152607/2000000
72: 70532547/128000000
73: 8409087/16000000
74: 1/2
75: 7590913/16000000
76: 57467453/128000000
77: 847393/2000000
78: 12759207/32000000
79: 748289/2000000
80: 44805631/128000000
81: 5224131/16000000
82: 4857849/16000000
83: 900601/3200000
84: 33285017/128000000
85: 59869/250000
86: 7033477/32000000
87: 201039/1000000
88: 46908207/256000000
89: 1065003/6400000
90: 9636297/64000000
91: 4343097/32000000
92: 7799561/64000000
93: 3487883/32000000
94: 6213739/64000000
95: 551201/6400000
96: 19475001/256000000
97: 535227/8000000
98: 1874397/32000000
99: 408381/8000000
100: 5667531/128000000
101: 611501/16000000
102: 4103/125000
103: 448723/16000000
104: 6101603/256000000
105: 644613/32000000
106: 1083399/64000000
107: 452523/32000000
108: 15028221/1280000000
109: 774843/80000000
110: 1269917/160000000
111: 20669/3200000
112: 267179/51200000
113: 669449/160000000
114: 1065009/320000000
115: 420039/160000000
116: 525453/256000000
117: 25437/16000000
118: 97533/80000000
119: 73999/80000000
120: 888023/1280000000
121: 3289/6400000
122: 4807/12800000
123: 43263/160000000
124: 245157/1280000000
125: 10659/80000000
126: 2907/32000000
127: 969/16000000
128: 12597/320000000
129: 1989/80000000
130: 2431/160000000
131: 143/16000000
132: 1287/256000000
133: 429/160000000
134: 429/320000000
135: 99/160000000
136: 33/128000000
137: 3/32000000
138: 9/320000000
139: 1/160000000
140: 1/1280000000