Current Betti Table Entry:
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(1,0,0) |
(6,1,0) |
(11,1,1) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
(14,5,0) |
(19,5,1) |
(23,6,2) |
(27,6,4) |
(30,9,4) |
(33,11,5) |
(36,12,7) |
(39,12,10) |
(41,16,10) |
(43,19,11) |
(45,21,13) |
(47,22,16) |
(49,22,20) |
(50,27,20) |
(51,31,21) |
(52,34,23) |
(53,36,26) |
(54,37,30) |
(55,37,35) |
(55,42,36) |
(55,46,38) |
· |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(51,51,31) |
(53,51,35) |
(54,52,39) |
(55,52,44) |
(55,54,48) |
(55,55,53) |
\(\lambda=(41,37,25)\)
- Multiplicity: 856
- Dimension: 585
- Dominant: No
\(\lambda=(50,27,26)\)
- Multiplicity: 5
- Dimension: 624
- Dominant: No
\(\lambda=(46,35,22)\)
- Multiplicity: 163
- Dimension: 2184
- Dominant: No
\(\lambda=(45,29,29)\)
- Multiplicity: 126
- Dimension: 153
- Dominant: No
\(\lambda=(38,34,31)\)
- Multiplicity: 912
- Dimension: 90
- Dominant: No
\(\lambda=(43,32,28)\)
- Multiplicity: 966
- Dimension: 510
- Dominant: No
\(\lambda=(48,30,25)\)
- Multiplicity: 83
- Dimension: 1425
- Dominant: No
\(\lambda=(49,36,18)\)
- Multiplicity: 1
- Dimension: 4389
- Dominant: Yes
\(\lambda=(44,38,21)\)
- Multiplicity: 147
- Dimension: 1575
- Dominant: No
\(\lambda=(41,35,27)\)
- Multiplicity: 1432
- Dimension: 504
- Dominant: No
\(\lambda=(42,41,20)\)
- Multiplicity: 34
- Dimension: 528
- Dominant: No
\(\lambda=(47,39,17)\)
- Multiplicity: 2
- Dimension: 3312
- Dominant: No
\(\lambda=(51,31,21)\)
- Multiplicity: 1
- Dimension: 3696
- Dominant: Yes
\(\lambda=(46,33,24)\)
- Multiplicity: 297
- Dimension: 1680
- Dominant: No
\(\lambda=(39,38,26)\)
- Multiplicity: 528
- Dimension: 195
- Dominant: No
\(\lambda=(43,30,30)\)
- Multiplicity: 232
- Dimension: 105
- Dominant: No
\(\lambda=(48,28,27)\)
- Multiplicity: 38
- Dimension: 483
- Dominant: No
\(\lambda=(49,34,20)\)
- Multiplicity: 8
- Dimension: 3720
- Dominant: No
\(\lambda=(45,42,16)\)
- Multiplicity: 1
- Dimension: 1674
- Dominant: Yes
\(\lambda=(44,36,23)\)
- Multiplicity: 419
- Dimension: 1449
- Dominant: No
\(\lambda=(36,35,32)\)
- Multiplicity: 331
- Dimension: 24
- Dominant: No
\(\lambda=(41,33,29)\)
- Multiplicity: 1348
- Dimension: 315
- Dominant: No
\(\lambda=(42,39,22)\)
- Multiplicity: 218
- Dimension: 792
- Dominant: No
\(\lambda=(47,37,19)\)
- Multiplicity: 17
- Dimension: 3135
- Dominant: No
\(\lambda=(51,29,23)\)
- Multiplicity: 2
- Dimension: 2415
- Dominant: No
\(\lambda=(46,31,26)\)
- Multiplicity: 325
- Dimension: 1056
- Dominant: No
\(\lambda=(39,36,28)\)
- Multiplicity: 1204
- Dimension: 234
- Dominant: No
\(\lambda=(49,32,22)\)
- Multiplicity: 22
- Dimension: 2871
- Dominant: No
\(\lambda=(45,40,18)\)
- Multiplicity: 10
- Dimension: 2001
- Dominant: No
\(\lambda=(44,34,25)\)
- Multiplicity: 738
- Dimension: 1155
- Dominant: No
\(\lambda=(41,31,31)\)
- Multiplicity: 341
- Dimension: 66
- Dominant: No
\(\lambda=(42,37,24)\)
- Multiplicity: 665
- Dimension: 840
- Dominant: No
\(\lambda=(47,35,21)\)
- Multiplicity: 66
- Dimension: 2730
- Dominant: No
\(\lambda=(51,27,25)\)
- Multiplicity: 2
- Dimension: 1050
- Dominant: No
\(\lambda=(46,29,28)\)
- Multiplicity: 145
- Dimension: 360
- Dominant: No
\(\lambda=(43,43,17)\)
- Multiplicity: 1
- Dimension: 378
- Dominant: No
\(\lambda=(39,34,30)\)
- Multiplicity: 1259
- Dimension: 165
- Dominant: No
\(\lambda=(40,40,23)\)
- Multiplicity: 101
- Dimension: 171
- Dominant: No
\(\lambda=(49,30,24)\)
- Multiplicity: 31
- Dimension: 1890
- Dominant: No
\(\lambda=(45,38,20)\)
- Multiplicity: 67
- Dimension: 2052
- Dominant: No
\(\lambda=(44,32,27)\)
- Multiplicity: 787
- Dimension: 741
- Dominant: No
\(\lambda=(37,37,29)\)
- Multiplicity: 351
- Dimension: 45
- Dominant: No
\(\lambda=(42,35,26)\)
- Multiplicity: 1204
- Dimension: 720
- Dominant: No
\(\lambda=(47,33,23)\)
- Multiplicity: 143
- Dimension: 2145
- Dominant: No
\(\lambda=(43,41,19)\)
- Multiplicity: 22
- Dimension: 897
- Dominant: No
\(\lambda=(39,32,32)\)
- Multiplicity: 319
- Dimension: 36
- Dominant: No
\(\lambda=(40,38,25)\)
- Multiplicity: 592
- Dimension: 357
- Dominant: No
\(\lambda=(50,34,19)\)
- Multiplicity: 1
- Dimension: 4488
- Dominant: Yes
\(\lambda=(49,28,26)\)
- Multiplicity: 20
- Dimension: 825
- Dominant: No
\(\lambda=(45,36,22)\)
- Multiplicity: 223
- Dimension: 1875
- Dominant: No
\(\lambda=(44,30,29)\)
- Multiplicity: 347
- Dimension: 255
- Dominant: No
\(\lambda=(37,35,31)\)
- Multiplicity: 687
- Dimension: 60
- Dominant: No
\(\lambda=(42,33,28)\)
- Multiplicity: 1297
- Dimension: 480
- Dominant: No
\(\lambda=(47,31,25)\)
- Multiplicity: 185
- Dimension: 1428
- Dominant: No
\(\lambda=(48,37,18)\)
- Multiplicity: 3
- Dimension: 3840
- Dominant: No
\(\lambda=(43,39,21)\)
- Multiplicity: 138
- Dimension: 1140
- Dominant: No
\(\lambda=(40,36,27)\)
- Multiplicity: 1277
- Dimension: 375
- Dominant: No
\(\lambda=(46,40,17)\)
- Multiplicity: 3
- Dimension: 2604
- Dominant: No
\(\lambda=(50,32,21)\)
- Multiplicity: 5
- Dimension: 3534
- Dominant: No
\(\lambda=(45,34,24)\)
- Multiplicity: 447
- Dimension: 1518
- Dominant: No
\(\lambda=(37,33,33)\)
- Multiplicity: 205
- Dimension: 15
- Dominant: No
\(\lambda=(42,31,30)\)
- Multiplicity: 575
- Dimension: 168
- Dominant: No
\(\lambda=(47,29,27)\)
- Multiplicity: 117
- Dimension: 627
- Dominant: No
\(\lambda=(48,35,20)\)
- Multiplicity: 19
- Dimension: 3360
- Dominant: No
\(\lambda=(43,37,23)\)
- Multiplicity: 455
- Dimension: 1155
- Dominant: No
\(\lambda=(40,34,29)\)
- Multiplicity: 1477
- Dimension: 273
- Dominant: No
\(\lambda=(41,40,22)\)
- Multiplicity: 121
- Dimension: 399
- Dominant: No
\(\lambda=(50,30,23)\)
- Multiplicity: 9
- Dimension: 2436
- Dominant: No
\(\lambda=(46,38,19)\)
- Multiplicity: 25
- Dimension: 2610
- Dominant: No
\(\lambda=(45,32,26)\)
- Multiplicity: 550
- Dimension: 1029
- Dominant: No
\(\lambda=(38,37,28)\)
- Multiplicity: 675
- Dimension: 120
- Dominant: No
\(\lambda=(48,33,22)\)
- Multiplicity: 53
- Dimension: 2688
- Dominant: No
\(\lambda=(44,41,18)\)
- Multiplicity: 9
- Dimension: 1344
- Dominant: No
\(\lambda=(43,35,25)\)
- Multiplicity: 904
- Dimension: 990
- Dominant: No
\(\lambda=(35,34,34)\)
- Multiplicity: 48
- Dimension: 3
- Dominant: No
\(\lambda=(40,32,31)\)
- Multiplicity: 673
- Dimension: 99
- Dominant: No
\(\lambda=(41,38,24)\)
- Multiplicity: 535
- Dimension: 570
- Dominant: No
\(\lambda=(50,28,25)\)
- Multiplicity: 8
- Dimension: 1242
- Dominant: No
\(\lambda=(46,36,21)\)
- Multiplicity: 100
- Dimension: 2376
- Dominant: No
\(\lambda=(45,30,28)\)
- Multiplicity: 333
- Dimension: 456
- Dominant: No
\(\lambda=(38,35,30)\)
- Multiplicity: 1061
- Dimension: 120
- Dominant: No
\(\lambda=(48,31,24)\)
- Multiplicity: 83
- Dimension: 1872
- Dominant: No
\(\lambda=(44,39,20)\)
- Multiplicity: 70
- Dimension: 1560
- Dominant: No
\(\lambda=(43,33,27)\)
- Multiplicity: 1105
- Dimension: 693
- Dominant: No
\(\lambda=(41,36,26)\)
- Multiplicity: 1175
- Dimension: 561
- Dominant: No
\(\lambda=(42,42,19)\)
- Multiplicity: 8
- Dimension: 300
- Dominant: No
\(\lambda=(46,34,23)\)
- Multiplicity: 235
- Dimension: 1950
- Dominant: No
\(\lambda=(38,33,32)\)
- Multiplicity: 529
- Dimension: 48
- Dominant: No
\(\lambda=(39,39,25)\)
- Multiplicity: 217
- Dimension: 120
- Dominant: No
\(\lambda=(43,31,29)\)
- Multiplicity: 677
- Dimension: 312
- Dominant: No
\(\lambda=(48,29,26)\)
- Multiplicity: 67
- Dimension: 960
- Dominant: No
\(\lambda=(49,35,19)\)
- Multiplicity: 4
- Dimension: 4080
- Dominant: No
\(\lambda=(44,37,22)\)
- Multiplicity: 263
- Dimension: 1536
- Dominant: No
\(\lambda=(36,36,31)\)
- Multiplicity: 249
- Dimension: 21
- Dominant: No
\(\lambda=(41,34,28)\)
- Multiplicity: 1497
- Dimension: 420
- Dominant: No
\(\lambda=(42,40,21)\)
- Multiplicity: 97
- Dimension: 690
- Dominant: No
\(\lambda=(47,38,18)\)
- Multiplicity: 6
- Dimension: 3255
- Dominant: No
\(\lambda=(51,30,22)\)
- Multiplicity: 1
- Dimension: 3069
- Dominant: No
\(\lambda=(46,32,25)\)
- Multiplicity: 336
- Dimension: 1380
- Dominant: No
\(\lambda=(39,37,27)\)
- Multiplicity: 896
- Dimension: 231
- Dominant: No
\(\lambda=(49,33,21)\)
- Multiplicity: 15
- Dimension: 3315
- Dominant: No
\(\lambda=(45,41,17)\)
- Multiplicity: 3
- Dimension: 1875
- Dominant: No
\(\lambda=(44,35,24)\)
- Multiplicity: 589
- Dimension: 1320
- Dominant: No
\(\lambda=(36,34,33)\)
- Multiplicity: 223
- Dimension: 15
- Dominant: No
\(\lambda=(41,32,30)\)
- Multiplicity: 925
- Dimension: 195
- Dominant: No
\(\lambda=(42,38,23)\)
- Multiplicity: 409
- Dimension: 840
- Dominant: No
\(\lambda=(47,36,20)\)
- Multiplicity: 35
- Dimension: 2958
- Dominant: No
\(\lambda=(51,28,24)\)
- Multiplicity: 1
- Dimension: 1740
- Dominant: No
\(\lambda=(46,30,27)\)
- Multiplicity: 260
- Dimension: 714
- Dominant: No
\(\lambda=(39,35,29)\)
- Multiplicity: 1364
- Dimension: 210
- Dominant: No
\(\lambda=(49,31,23)\)
- Multiplicity: 31
- Dimension: 2394
- Dominant: No
\(\lambda=(45,39,19)\)
- Multiplicity: 30
- Dimension: 2058
- Dominant: No
\(\lambda=(44,33,26)\)
- Multiplicity: 817
- Dimension: 960
- Dominant: No
\(\lambda=(42,36,25)\)
- Multiplicity: 952
- Dimension: 798
- Dominant: No
\(\lambda=(47,34,22)\)
- Multiplicity: 101
- Dimension: 2457
- Dominant: No
\(\lambda=(43,42,18)\)
- Multiplicity: 6
- Dimension: 675
- Dominant: No
\(\lambda=(39,33,31)\)
- Multiplicity: 905
- Dimension: 105
- Dominant: No
\(\lambda=(40,39,24)\)
- Multiplicity: 300
- Dimension: 288
- Dominant: No
\(\lambda=(49,29,25)\)
- Multiplicity: 32
- Dimension: 1365
- Dominant: No
\(\lambda=(45,37,21)\)
- Multiplicity: 133
- Dimension: 1989
- Dominant: No
\(\lambda=(44,31,28)\)
- Multiplicity: 625
- Dimension: 504
- Dominant: No
\(\lambda=(37,36,30)\)
- Multiplicity: 605
- Dimension: 63
- Dominant: No
\(\lambda=(42,34,27)\)
- Multiplicity: 1343
- Dimension: 612
- Dominant: No
\(\lambda=(47,32,24)\)
- Multiplicity: 169
- Dimension: 1800
- Dominant: No
\(\lambda=(48,38,17)\)
- Multiplicity: 1
- Dimension: 3993
- Dominant: Yes
\(\lambda=(43,40,20)\)
- Multiplicity: 59
- Dimension: 1050
- Dominant: No
\(\lambda=(40,37,26)\)
- Multiplicity: 946
- Dimension: 384
- Dominant: No
\(\lambda=(50,33,20)\)
- Multiplicity: 2
- Dimension: 4032
- Dominant: No
\(\lambda=(49,27,27)\)
- Multiplicity: 9
- Dimension: 276
- Dominant: No
\(\lambda=(45,35,23)\)
- Multiplicity: 339
- Dimension: 1716
- Dominant: No
\(\lambda=(37,34,32)\)
- Multiplicity: 529
- Dimension: 42
- Dominant: No
\(\lambda=(42,32,29)\)
- Multiplicity: 1034
- Dimension: 330
- Dominant: No
\(\lambda=(47,30,26)\)
- Multiplicity: 160
- Dimension: 1035
- Dominant: No
\(\lambda=(48,36,19)\)
- Multiplicity: 9
- Dimension: 3627
- Dominant: No
\(\lambda=(43,38,22)\)
- Multiplicity: 266
- Dimension: 1173
- Dominant: No
\(\lambda=(40,35,28)\)
- Multiplicity: 1488
- Dimension: 336
- Dominant: No
\(\lambda=(41,41,21)\)
- Multiplicity: 36
- Dimension: 231
- Dominant: No
\(\lambda=(46,39,18)\)
- Multiplicity: 9
- Dimension: 2640
- Dominant: No
\(\lambda=(50,31,22)\)
- Multiplicity: 7
- Dimension: 3000
- Dominant: No
\(\lambda=(45,33,25)\)
- Multiplicity: 536
- Dimension: 1287
- Dominant: No
\(\lambda=(38,38,27)\)
- Multiplicity: 317
- Dimension: 78
- Dominant: No
\(\lambda=(47,28,28)\)
- Multiplicity: 37
- Dimension: 210
- Dominant: No
\(\lambda=(48,34,21)\)
- Multiplicity: 35
- Dimension: 3045
- Dominant: No
\(\lambda=(44,42,17)\)
- Multiplicity: 2
- Dimension: 1131
- Dominant: No
\(\lambda=(43,36,24)\)
- Multiplicity: 674
- Dimension: 1092
- Dominant: No
\(\lambda=(35,35,33)\)
- Multiplicity: 98
- Dimension: 6
- Dominant: No
\(\lambda=(40,33,30)\)
- Multiplicity: 1197
- Dimension: 192
- Dominant: No
\(\lambda=(41,39,23)\)
- Multiplicity: 289
- Dimension: 510
- Dominant: No
\(\lambda=(50,29,24)\)
- Multiplicity: 9
- Dimension: 1848
- Dominant: No
\(\lambda=(46,37,20)\)
- Multiplicity: 53
- Dimension: 2520
- Dominant: No
\(\lambda=(45,31,27)\)
- Multiplicity: 495
- Dimension: 750
- Dominant: No
\(\lambda=(38,36,29)\)
- Multiplicity: 957
- Dimension: 132
- Dominant: No
\(\lambda=(48,32,23)\)
- Multiplicity: 72
- Dimension: 2295
- Dominant: No
\(\lambda=(44,40,19)\)
- Multiplicity: 28
- Dimension: 1485
- Dominant: No
\(\lambda=(43,34,26)\)
- Multiplicity: 1058
- Dimension: 855
- Dominant: No
\(\textbf{a}=(36,39,28)\)
- Multiplicity: 104656
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,42)\)
- Multiplicity: 43337
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,47)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,28)\)
- Multiplicity: 36423
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,33)\)
- Multiplicity: 2747
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,20,42)\)
- Multiplicity: 800
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,47)\)
- Multiplicity: 2566
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,28)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,33)\)
- Multiplicity: 173807
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,47)\)
- Multiplicity: 128
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,19)\)
- Multiplicity: 209
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,33)\)
- Multiplicity: 220534
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,46,38)\)
- Multiplicity: 95
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,19)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,24)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,33)\)
- Multiplicity: 7031
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,38)\)
- Multiplicity: 51911
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,24)\)
- Multiplicity: 7745
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,38)\)
- Multiplicity: 220534
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,24)\)
- Multiplicity: 14294
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,38)\)
- Multiplicity: 31093
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,39,43)\)
- Multiplicity: 1717
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,29)\)
- Multiplicity: 24273
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,24)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,18,38)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,32,43)\)
- Multiplicity: 36423
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,29)\)
- Multiplicity: 153067
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,25,43)\)
- Multiplicity: 16819
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,48)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,29)\)
- Multiplicity: 24273
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,34)\)
- Multiplicity: 11445
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,18,43)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,48)\)
- Multiplicity: 730
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,20)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,34)\)
- Multiplicity: 252438
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,18,48)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,20)\)
- Multiplicity: 800
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,34)\)
- Multiplicity: 157208
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,44,39)\)
- Multiplicity: 571
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,20)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,25)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,34)\)
- Multiplicity: 1794
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,39)\)
- Multiplicity: 76639
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,25)\)
- Multiplicity: 22491
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,39)\)
- Multiplicity: 157208
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,49,30)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,25)\)
- Multiplicity: 16819
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,23,39)\)
- Multiplicity: 9462
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,37,44)\)
- Multiplicity: 2664
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,30)\)
- Multiplicity: 66166
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,25)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,30,44)\)
- Multiplicity: 24273
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,30)\)
- Multiplicity: 180722
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,49,35)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,23,44)\)
- Multiplicity: 4785
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,49)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,28,30)\)
- Multiplicity: 12581
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,42,35)\)
- Multiplicity: 32481
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,16,44)\)
- Multiplicity: 1
- Dimension: 1
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- Dimension: 1
- Error: 0
\(\textbf{a}=(41,30,32)\)
- Multiplicity: 95495
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,42,18)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,44,37)\)
- Multiplicity: 2664
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,25,51)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,23,32)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,49,23)\)
- Multiplicity: 127
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,37,37)\)
- Multiplicity: 153067
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,42,23)\)
- Multiplicity: 8284
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,30,37)\)
- Multiplicity: 193666
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,44,42)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,49,28)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,23)\)
- Multiplicity: 3116
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,23,37)\)
- Multiplicity: 6614
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,37,42)\)
- Multiplicity: 14294
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,28)\)
- Multiplicity: 53614
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,30,42)\)
- Multiplicity: 66166
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,37,47)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,28)\)
- Multiplicity: 90451
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,49,33)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,23,42)\)
- Multiplicity: 8284
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,47)\)
- Multiplicity: 2256
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,28,28)\)
- Multiplicity: 2670
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,42,33)\)
- Multiplicity: 53614
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,16,42)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,47)\)
- Multiplicity: 898
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,19)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,35,33)\)
- Multiplicity: 298030
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,19)\)
- Multiplicity: 209
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,28,33)\)
- Multiplicity: 53614
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,42,38)\)
- Multiplicity: 8284
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,21,33)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,24)\)
- Multiplicity: 1341
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,35,38)\)
- Multiplicity: 180722
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,24)\)
- Multiplicity: 18403
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,38)\)
- Multiplicity: 112511
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,42,43)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,29)\)
- Multiplicity: 2566
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,24)\)
- Multiplicity: 2747
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,21,38)\)
- Multiplicity: 1324
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,35,43)\)
- Multiplicity: 16819
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,29)\)
- Multiplicity: 111096
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,28,43)\)
- Multiplicity: 36423
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,48)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,29)\)
- Multiplicity: 86169
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,34)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,21,43)\)
- Multiplicity: 1717
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,48)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,29)\)
- Multiplicity: 876
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,34)\)
- Multiplicity: 111096
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,48)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,20)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,34)\)
- Multiplicity: 288281
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,47,39)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,20)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,34)\)
- Multiplicity: 23521
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,39)\)
- Multiplicity: 18403
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,25)\)
- Multiplicity: 7031
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,19,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,39)\)
- Multiplicity: 173807
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,25)\)
- Multiplicity: 31093
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,39)\)
- Multiplicity: 51911
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,40,44)\)
- Multiplicity: 209
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,30)\)
- Multiplicity: 12581
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,25)\)
- Multiplicity: 1826
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,19,39)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,44)\)
- Multiplicity: 15524
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,30)\)
- Multiplicity: 180722
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,44)\)
- Multiplicity: 15524
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,49)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,30)\)
- Multiplicity: 66166
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,16)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,35)\)
- Multiplicity: 3116
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,19,44)\)
- Multiplicity: 209
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,49)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,30)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,21)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,35)\)
- Multiplicity: 180722
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,49)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,21)\)
- Multiplicity: 1717
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,35)\)
- Multiplicity: 228696
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,45,40)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,26)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,21)\)
- Multiplicity: 548
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,35)\)
- Multiplicity: 7745
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,40)\)
- Multiplicity: 31093
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,26)\)
- Multiplicity: 23521
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,40)\)
- Multiplicity: 136116
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,38,45)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,31)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,26)\)
- Multiplicity: 41148
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,40)\)
- Multiplicity: 18403
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,31)\)
- Multiplicity: 40574
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,26)\)
- Multiplicity: 876
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,17,40)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,45)\)
- Multiplicity: 11228
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,31)\)
- Multiplicity: 236576
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,17)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,45)\)
- Multiplicity: 4896
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,50)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,31)\)
- Multiplicity: 40574
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,17)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,36)\)
- Multiplicity: 11035
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,17,45)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,50)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,31)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,22)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,36)\)
- Multiplicity: 236576
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,22)\)
- Multiplicity: 4740
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,36)\)
- Multiplicity: 147754
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,43,41)\)
- Multiplicity: 253
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,27)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,22)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,36)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,41)\)
- Multiplicity: 41148
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,27)\)
- Multiplicity: 56724
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,41)\)
- Multiplicity: 86169
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,46)\)
- Multiplicity: 548
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,32)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,27)\)
- Multiplicity: 43337
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,22,41)\)
- Multiplicity: 4740
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,46)\)
- Multiplicity: 6228
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,32)\)
- Multiplicity: 95495
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,27)\)
- Multiplicity: 286
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,46)\)
- Multiplicity: 1051
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,32)\)
- Multiplicity: 252438
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,18)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,48,37)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,51)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,32)\)
- Multiplicity: 19446
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,18)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,37)\)
- Multiplicity: 27570
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,51)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,23)\)
- Multiplicity: 1794
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,37)\)
- Multiplicity: 252438
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,23)\)
- Multiplicity: 9462
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,27,37)\)
- Multiplicity: 76639
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,41,42)\)
- Multiplicity: 800
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,28)\)
- Multiplicity: 6228
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,23)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,20,37)\)
- Multiplicity: 247
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,42)\)
- Multiplicity: 43337
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{16,\lambda}(2,1;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{16,1}(2,1;6)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{16,\textbf{a}}(2,1;6)\). Here \(\textbf{a}\) is the weight \((a_0,a_1,a_2)\) where \(a_2\) is determined by the fact that \(|\textbf{a}|\) equals \(d(p+q)+b\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!