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) |
\(\lambda=(41,39,35)\)
- Multiplicity: 159
- Dimension: 60
- Dominant: No
\(\lambda=(51,35,29)\)
- Multiplicity: 23
- Dimension: 1428
- Dominant: No
\(\lambda=(47,43,25)\)
- Multiplicity: 22
- Dimension: 1140
- Dominant: No
\(\lambda=(46,37,32)\)
- Multiplicity: 282
- Dimension: 480
- Dominant: No
\(\lambda=(44,40,31)\)
- Multiplicity: 287
- Dimension: 375
- Dominant: No
\(\lambda=(49,38,28)\)
- Multiplicity: 78
- Dimension: 1518
- Dominant: No
\(\lambda=(41,37,37)\)
- Multiplicity: 45
- Dimension: 15
- Dominant: No
\(\lambda=(52,39,24)\)
- Multiplicity: 1
- Dimension: 3360
- Dominant: Yes
\(\lambda=(51,33,31)\)
- Multiplicity: 14
- Dimension: 627
- Dominant: No
\(\lambda=(47,41,27)\)
- Multiplicity: 81
- Dimension: 1155
- Dominant: No
\(\lambda=(46,35,34)\)
- Multiplicity: 127
- Dimension: 168
- Dominant: No
\(\lambda=(44,38,33)\)
- Multiplicity: 339
- Dimension: 273
- Dominant: No
\(\lambda=(49,36,30)\)
- Multiplicity: 102
- Dimension: 1029
- Dominant: No
\(\lambda=(50,42,23)\)
- Multiplicity: 2
- Dimension: 2610
- Dominant: No
\(\lambda=(45,44,26)\)
- Multiplicity: 23
- Dimension: 399
- Dominant: No
\(\lambda=(42,41,32)\)
- Multiplicity: 155
- Dimension: 120
- Dominant: No
\(\lambda=(48,45,22)\)
- Multiplicity: 1
- Dimension: 1344
- Dominant: No
\(\lambda=(52,37,26)\)
- Multiplicity: 4
- Dimension: 2688
- Dominant: No
\(\lambda=(47,39,29)\)
- Multiplicity: 176
- Dimension: 990
- Dominant: No
\(\lambda=(39,38,38)\)
- Multiplicity: 13
- Dimension: 3
- Dominant: No
\(\lambda=(44,36,35)\)
- Multiplicity: 156
- Dimension: 99
- Dominant: No
\(\lambda=(49,34,32)\)
- Multiplicity: 66
- Dimension: 456
- Dominant: No
\(\lambda=(50,40,25)\)
- Multiplicity: 13
- Dimension: 2376
- Dominant: No
\(\lambda=(45,42,28)\)
- Multiplicity: 109
- Dimension: 570
- Dominant: No
\(\lambda=(42,39,34)\)
- Multiplicity: 250
- Dimension: 120
- Dominant: No
\(\lambda=(52,35,28)\)
- Multiplicity: 8
- Dimension: 1872
- Dominant: No
\(\lambda=(48,43,24)\)
- Multiplicity: 11
- Dimension: 1560
- Dominant: No
\(\lambda=(47,37,31)\)
- Multiplicity: 224
- Dimension: 693
- Dominant: No
\(\lambda=(50,38,27)\)
- Multiplicity: 34
- Dimension: 1950
- Dominant: No
\(\lambda=(46,46,23)\)
- Multiplicity: 1
- Dimension: 300
- Dominant: No
\(\lambda=(45,40,30)\)
- Multiplicity: 256
- Dimension: 561
- Dominant: No
\(\lambda=(42,37,36)\)
- Multiplicity: 126
- Dimension: 48
- Dominant: No
\(\lambda=(43,43,29)\)
- Multiplicity: 43
- Dimension: 120
- Dominant: No
\(\lambda=(52,33,30)\)
- Multiplicity: 7
- Dimension: 960
- Dominant: No
\(\lambda=(48,41,26)\)
- Multiplicity: 45
- Dimension: 1536
- Dominant: No
\(\lambda=(47,35,33)\)
- Multiplicity: 137
- Dimension: 312
- Dominant: No
\(\lambda=(40,40,35)\)
- Multiplicity: 63
- Dimension: 21
- Dominant: No
\(\lambda=(50,36,29)\)
- Multiplicity: 53
- Dimension: 1380
- Dominant: No
\(\lambda=(46,44,25)\)
- Multiplicity: 17
- Dimension: 690
- Dominant: No
\(\lambda=(45,38,32)\)
- Multiplicity: 337
- Dimension: 420
- Dominant: No
\(\lambda=(43,41,31)\)
- Multiplicity: 196
- Dimension: 231
- Dominant: No
\(\lambda=(48,39,28)\)
- Multiplicity: 109
- Dimension: 1320
- Dominant: No
\(\lambda=(40,38,37)\)
- Multiplicity: 55
- Dimension: 15
- Dominant: No
\(\lambda=(50,34,31)\)
- Multiplicity: 43
- Dimension: 714
- Dominant: No
\(\lambda=(51,40,24)\)
- Multiplicity: 4
- Dimension: 2958
- Dominant: No
\(\lambda=(46,42,27)\)
- Multiplicity: 78
- Dimension: 840
- Dominant: No
\(\lambda=(45,36,34)\)
- Multiplicity: 215
- Dimension: 195
- Dominant: No
\(\lambda=(43,39,33)\)
- Multiplicity: 310
- Dimension: 210
- Dominant: No
\(\lambda=(49,43,23)\)
- Multiplicity: 3
- Dimension: 2058
- Dominant: No
\(\lambda=(53,35,27)\)
- Multiplicity: 1
- Dimension: 2394
- Dominant: No
\(\lambda=(48,37,30)\)
- Multiplicity: 159
- Dimension: 960
- Dominant: No
\(\lambda=(51,38,26)\)
- Multiplicity: 12
- Dimension: 2457
- Dominant: No
\(\lambda=(47,46,22)\)
- Multiplicity: 1
- Dimension: 675
- Dominant: No
\(\lambda=(46,40,29)\)
- Multiplicity: 196
- Dimension: 798
- Dominant: No
\(\lambda=(43,37,35)\)
- Multiplicity: 206
- Dimension: 105
- Dominant: No
\(\lambda=(49,41,25)\)
- Multiplicity: 18
- Dimension: 1989
- Dominant: No
\(\lambda=(53,33,29)\)
- Multiplicity: 1
- Dimension: 1365
- Dominant: No
\(\lambda=(48,35,32)\)
- Multiplicity: 125
- Dimension: 504
- Dominant: No
\(\lambda=(44,43,28)\)
- Multiplicity: 63
- Dimension: 288
- Dominant: No
\(\lambda=(41,40,34)\)
- Multiplicity: 146
- Dimension: 63
- Dominant: No
\(\lambda=(51,36,28)\)
- Multiplicity: 23
- Dimension: 1800
- Dominant: No
\(\lambda=(47,44,24)\)
- Multiplicity: 9
- Dimension: 1050
- Dominant: No
\(\lambda=(46,38,31)\)
- Multiplicity: 288
- Dimension: 612
- Dominant: No
\(\lambda=(44,41,30)\)
- Multiplicity: 206
- Dimension: 384
- Dominant: No
\(\lambda=(49,39,27)\)
- Multiplicity: 54
- Dimension: 1716
- Dominant: No
\(\lambda=(41,38,36)\)
- Multiplicity: 130
- Dimension: 42
- Dominant: No
\(\lambda=(51,34,30)\)
- Multiplicity: 24
- Dimension: 1035
- Dominant: No
\(\lambda=(47,42,26)\)
- Multiplicity: 47
- Dimension: 1173
- Dominant: No
\(\lambda=(46,36,33)\)
- Multiplicity: 227
- Dimension: 330
- Dominant: No
\(\lambda=(44,39,32)\)
- Multiplicity: 337
- Dimension: 336
- Dominant: No
\(\lambda=(49,37,29)\)
- Multiplicity: 91
- Dimension: 1287
- Dominant: No
\(\lambda=(50,43,22)\)
- Multiplicity: 1
- Dimension: 2640
- Dominant: Yes
\(\lambda=(45,45,25)\)
- Multiplicity: 5
- Dimension: 231
- Dominant: No
\(\lambda=(42,42,31)\)
- Multiplicity: 73
- Dimension: 78
- Dominant: No
\(\lambda=(52,38,25)\)
- Multiplicity: 2
- Dimension: 3045
- Dominant: No
\(\lambda=(51,32,32)\)
- Multiplicity: 8
- Dimension: 210
- Dominant: No
\(\lambda=(47,40,28)\)
- Multiplicity: 133
- Dimension: 1092
- Dominant: No
\(\lambda=(39,39,37)\)
- Multiplicity: 21
- Dimension: 6
- Dominant: No
\(\lambda=(44,37,34)\)
- Multiplicity: 277
- Dimension: 192
- Dominant: No
\(\lambda=(49,35,31)\)
- Multiplicity: 87
- Dimension: 750
- Dominant: No
\(\lambda=(50,41,24)\)
- Multiplicity: 6
- Dimension: 2520
- Dominant: No
\(\lambda=(45,43,27)\)
- Multiplicity: 55
- Dimension: 510
- Dominant: No
\(\lambda=(42,40,33)\)
- Multiplicity: 226
- Dimension: 132
- Dominant: No
\(\lambda=(48,44,23)\)
- Multiplicity: 4
- Dimension: 1485
- Dominant: No
\(\lambda=(52,36,27)\)
- Multiplicity: 6
- Dimension: 2295
- Dominant: No
\(\lambda=(47,38,30)\)
- Multiplicity: 218
- Dimension: 855
- Dominant: No
\(\lambda=(49,33,33)\)
- Multiplicity: 19
- Dimension: 153
- Dominant: No
\(\lambda=(50,39,26)\)
- Multiplicity: 23
- Dimension: 2184
- Dominant: No
\(\lambda=(45,41,29)\)
- Multiplicity: 175
- Dimension: 585
- Dominant: No
\(\lambda=(42,38,35)\)
- Multiplicity: 218
- Dimension: 90
- Dominant: No
\(\lambda=(52,34,29)\)
- Multiplicity: 8
- Dimension: 1425
- Dominant: No
\(\lambda=(48,42,25)\)
- Multiplicity: 23
- Dimension: 1575
- Dominant: No
\(\lambda=(47,36,32)\)
- Multiplicity: 207
- Dimension: 510
- Dominant: No
\(\lambda=(50,37,28)\)
- Multiplicity: 46
- Dimension: 1680
- Dominant: No
\(\lambda=(46,45,24)\)
- Multiplicity: 5
- Dimension: 528
- Dominant: No
\(\lambda=(45,39,31)\)
- Multiplicity: 309
- Dimension: 504
- Dominant: No
\(\lambda=(43,42,30)\)
- Multiplicity: 116
- Dimension: 195
- Dominant: No
\(\lambda=(52,32,31)\)
- Multiplicity: 4
- Dimension: 483
- Dominant: No
\(\lambda=(48,40,27)\)
- Multiplicity: 75
- Dimension: 1449
- Dominant: No
\(\lambda=(47,34,34)\)
- Multiplicity: 56
- Dimension: 105
- Dominant: No
\(\lambda=(40,39,36)\)
- Multiplicity: 80
- Dimension: 24
- Dominant: No
\(\lambda=(50,35,30)\)
- Multiplicity: 53
- Dimension: 1056
- Dominant: No
\(\lambda=(51,41,23)\)
- Multiplicity: 1
- Dimension: 3135
- Dominant: Yes
\(\lambda=(46,43,26)\)
- Multiplicity: 40
- Dimension: 792
- Dominant: No
\(\lambda=(45,37,33)\)
- Multiplicity: 297
- Dimension: 315
- Dominant: No
\(\lambda=(43,40,32)\)
- Multiplicity: 278
- Dimension: 234
- Dominant: No
\(\lambda=(49,44,22)\)
- Multiplicity: 1
- Dimension: 2001
- Dominant: No
\(\lambda=(53,36,26)\)
- Multiplicity: 1
- Dimension: 2871
- Dominant: Yes
\(\lambda=(48,38,29)\)
- Multiplicity: 140
- Dimension: 1155
- Dominant: No
\(\lambda=(50,33,32)\)
- Multiplicity: 24
- Dimension: 360
- Dominant: No
\(\lambda=(51,39,25)\)
- Multiplicity: 6
- Dimension: 2730
- Dominant: No
\(\lambda=(46,41,28)\)
- Multiplicity: 132
- Dimension: 840
- Dominant: No
\(\lambda=(45,35,35)\)
- Multiplicity: 71
- Dimension: 66
- Dominant: No
\(\lambda=(43,38,34)\)
- Multiplicity: 298
- Dimension: 165
- Dominant: No
\(\lambda=(49,42,24)\)
- Multiplicity: 9
- Dimension: 2052
- Dominant: No
\(\lambda=(53,34,28)\)
- Multiplicity: 2
- Dimension: 1890
- Dominant: No
\(\lambda=(48,36,31)\)
- Multiplicity: 155
- Dimension: 741
- Dominant: No
\(\lambda=(44,44,27)\)
- Multiplicity: 22
- Dimension: 171
- Dominant: No
\(\lambda=(41,41,33)\)
- Multiplicity: 78
- Dimension: 45
- Dominant: No
\(\lambda=(51,37,27)\)
- Multiplicity: 16
- Dimension: 2145
- Dominant: No
\(\lambda=(47,45,23)\)
- Multiplicity: 2
- Dimension: 897
- Dominant: No
\(\lambda=(46,39,30)\)
- Multiplicity: 254
- Dimension: 720
- Dominant: No
\(\lambda=(43,36,36)\)
- Multiplicity: 81
- Dimension: 36
- Dominant: No
\(\lambda=(44,42,29)\)
- Multiplicity: 127
- Dimension: 357
- Dominant: No
\(\lambda=(49,40,26)\)
- Multiplicity: 36
- Dimension: 1875
- Dominant: No
\(\lambda=(53,32,30)\)
- Multiplicity: 2
- Dimension: 825
- Dominant: No
\(\lambda=(48,34,33)\)
- Multiplicity: 70
- Dimension: 255
- Dominant: No
\(\textbf{a}=(39,27,49)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,42)\)
- Multiplicity: 27942
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,28)\)
- Multiplicity: 2599
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,35)\)
- Multiplicity: 44806
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,40,47)\)
- Multiplicity: 1572
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,26,42)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,40)\)
- Multiplicity: 3507
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,28)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,33)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,35)\)
- Multiplicity: 3320
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,33,47)\)
- Multiplicity: 6520
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,40)\)
- Multiplicity: 53635
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,26)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,33)\)
- Multiplicity: 15326
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,26,47)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,45)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,40)\)
- Multiplicity: 19207
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,26)\)
- Multiplicity: 631
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,33)\)
- Multiplicity: 20373
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,52,38)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,33,52)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,45)\)
- Multiplicity: 9743
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,40)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,31)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,26)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,33)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,38)\)
- Multiplicity: 12721
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,26,52)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,45)\)
- Multiplicity: 12721
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,31)\)
- Multiplicity: 12073
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,24)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,38)\)
- Multiplicity: 61808
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,50)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,45)\)
- Multiplicity: 247
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,45,43)\)
- Multiplicity: 1361
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,31)\)
- Multiplicity: 4761
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,24)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,36)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,38)\)
- Multiplicity: 7173
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,50)\)
- Multiplicity: 694
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,38,43)\)
- Multiplicity: 29800
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,29)\)
- Multiplicity: 400
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,36)\)
- Multiplicity: 25365
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,50)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,45,48)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,31,43)\)
- Multiplicity: 13682
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,29)\)
- Multiplicity: 5336
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,36)\)
- Multiplicity: 43029
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,38,48)\)
- Multiplicity: 1573
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,24,43)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,41)\)
- Multiplicity: 8212
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,29)\)
- Multiplicity: 400
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,34)\)
- Multiplicity: 634
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,36)\)
- Multiplicity: 1175
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,31,48)\)
- Multiplicity: 2820
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,41)\)
- Multiplicity: 51627
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,27)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,34)\)
- Multiplicity: 29800
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,24,48)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,46)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,41)\)
- Multiplicity: 8212
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,27)\)
- Multiplicity: 1162
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,34)\)
- Multiplicity: 17145
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,50,39)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,31,53)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,46)\)
- Multiplicity: 9042
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,41)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,32)\)
- Multiplicity: 1655
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,27)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,34)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,39)\)
- Multiplicity: 24839
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,46)\)
- Multiplicity: 5244
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,32)\)
- Multiplicity: 20806
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,25)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,39)\)
- Multiplicity: 53635
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,51)\)
- Multiplicity: 62
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,46)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,43,44)\)
- Multiplicity: 2870
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,32)\)
- Multiplicity: 3320
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,25)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,37)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,39)\)
- Multiplicity: 2490
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,51)\)
- Multiplicity: 190
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,36,44)\)
- Multiplicity: 25365
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,30)\)
- Multiplicity: 2203
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,37)\)
- Multiplicity: 43029
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,23,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,43,49)\)
- Multiplicity: 9
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- Multiplicity: 29800
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,35,50)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,41,43)\)
- Multiplicity: 13682
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,33,31)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,53,29)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,39,24)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,36)\)
- Multiplicity: 5808
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,27,38)\)
- Multiplicity: 167
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,50)\)
- Multiplicity: 274
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,34,43)\)
- Multiplicity: 29800
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,46,29)\)
- Multiplicity: 3507
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,36)\)
- Multiplicity: 53635
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,41,48)\)
- Multiplicity: 310
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,27,43)\)
- Multiplicity: 1361
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,41)\)
- Multiplicity: 885
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,29)\)
- Multiplicity: 2490
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,22)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,53,34)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,36)\)
- Multiplicity: 10528
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,34,48)\)
- Multiplicity: 3598
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,41)\)
- Multiplicity: 37475
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,27)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,34)\)
- Multiplicity: 11358
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,26,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,27,48)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,46)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,41)\)
- Multiplicity: 29035
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,27)\)
- Multiplicity: 1361
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,34)\)
- Multiplicity: 34732
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,34,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,46)\)
- Multiplicity: 3507
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,41)\)
- Multiplicity: 310
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,27)\)
- Multiplicity: 167
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,32)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,34)\)
- Multiplicity: 1655
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,39)\)
- Multiplicity: 5244
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,27,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,46)\)
- Multiplicity: 10528
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,32)\)
- Multiplicity: 12721
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,25)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,39)\)
- Multiplicity: 59646
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,46)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,46,44)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,32)\)
- Multiplicity: 12721
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,25)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,52,37)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,39)\)
- Multiplicity: 16320
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,51)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,39,44)\)
- Multiplicity: 16320
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,32)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,30)\)
- Multiplicity: 190
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,37)\)
- Multiplicity: 15326
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,25,39)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,51)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,32,44)\)
- Multiplicity: 16320
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,30)\)
- Multiplicity: 8212
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,23)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,37)\)
- Multiplicity: 57557
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,39,49)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,25,44)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,42)\)
- Multiplicity: 2599
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,30)\)
- Multiplicity: 2203
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,23)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,35)\)
- Multiplicity: 146
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,37)\)
- Multiplicity: 4761
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,32,49)\)
- Multiplicity: 1655
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,42)\)
- Multiplicity: 40075
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,28)\)
- Multiplicity: 274
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,35)\)
- Multiplicity: 25365
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,25,49)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,47)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,42)\)
- Multiplicity: 14266
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,51,40)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,28)\)
- Multiplicity: 2870
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,35)\)
- Multiplicity: 33179
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,47)\)
- Multiplicity: 3604
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,42)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,40)\)
- Multiplicity: 12073
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,28)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,33)\)
- Multiplicity: 694
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,35)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,47)\)
- Multiplicity: 4761
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,40)\)
- Multiplicity: 57557
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,26)\)
- Multiplicity: 185
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,33)\)
- Multiplicity: 24839
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,47)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,44,45)\)
- Multiplicity: 631
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,40)\)
- Multiplicity: 6882
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,26)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,33)\)
- Multiplicity: 10528
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,38)\)
- Multiplicity: 167
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,52)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,37,45)\)
- Multiplicity: 15326
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,31)\)
- Multiplicity: 1452
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,33)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,38)\)
- Multiplicity: 29800
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,30,45)\)
- Multiplicity: 6882
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,31)\)
- Multiplicity: 14266
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,24)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,38)\)
- Multiplicity: 49854
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,37,50)\)
- Multiplicity: 274
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,23,45)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,43)\)
- Multiplicity: 5336
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,31)\)
- Multiplicity: 1452
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,24)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,36)\)
- Multiplicity: 1175
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,38)\)
- Multiplicity: 1573
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,30,50)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,43)\)
- Multiplicity: 34405
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,29)\)
- Multiplicity: 1573
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,36)\)
- Multiplicity: 43029
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,23,50)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,48)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,43)\)
- Multiplicity: 5336
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,49,41)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,29)\)
- Multiplicity: 4432
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,22)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,36)\)
- Multiplicity: 25365
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,48)\)
- Multiplicity: 2820
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,41)\)
- Multiplicity: 20806
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,29)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,34)\)
- Multiplicity: 3598
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,36)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,48)\)
- Multiplicity: 1573
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,41)\)
- Multiplicity: 44806
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,27)\)
- Multiplicity: 885
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,34)\)
- Multiplicity: 37475
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,48)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,42,46)\)
- Multiplicity: 1162
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,28,41)\)
- Multiplicity: 2132
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,27)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,34)\)
- Multiplicity: 6789
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,39)\)
- Multiplicity: 1024
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,53)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,35,46)\)
- Multiplicity: 11358
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,32)\)
- Multiplicity: 5808
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,39)\)
- Multiplicity: 44806
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,28,46)\)
- Multiplicity: 2132
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,44)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,32)\)
- Multiplicity: 19207
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,25)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,39)\)
- Multiplicity: 34732
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,35,51)\)
- Multiplicity: 146
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,44)\)
- Multiplicity: 8212
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,32)\)
- Multiplicity: 694
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,30)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,25)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,37)\)
- Multiplicity: 4761
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,39)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,28,51)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,44)\)
- Multiplicity: 23588
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,30)\)
- Multiplicity: 5244
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,37)\)
- Multiplicity: 57557
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,49)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,44)\)
- Multiplicity: 1437
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,47,42)\)
- Multiplicity: 446
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,30)\)
- Multiplicity: 5244
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,23)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,53,35)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,37)\)
- Multiplicity: 15326
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,49)\)
- Multiplicity: 1655
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,40,42)\)
- Multiplicity: 27942
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,30)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,28)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,35)\)
- Multiplicity: 11358
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,26,37)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{18,\lambda}(2,1;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{18,1}(2,1;6)\). 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 \(\beta_{18,\textbf{a}}(2,1;6)\). 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!