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 |
(2,0,0) |
(7,1,0) |
(12,1,1) |
(16,3,1) |
(20,4,2) |
(24,4,4) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
1 |
· |
· |
· |
(17,9,0) |
(22,9,1) |
(26,10,2) |
(30,10,4) |
(33,12,5) |
(36,13,7) |
(39,13,10) |
(41,17,10) |
(43,20,11) |
(45,22,13) |
(47,23,16) |
(49,23,20) |
(50,28,20) |
(51,32,21) |
(52,35,23) |
(53,37,26) |
(54,38,30) |
(55,38,35) |
(55,43,36) |
(55,47,38) |
(55,50,41) |
· |
· |
2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(54,54,44) |
(55,54,49) |
(55,55,54) |
\(\lambda=(44,43,41)\)
- Multiplicity: 16
- Dimension: 15
- Dominant: No
\(\lambda=(47,45,36)\)
- Multiplicity: 53
- Dimension: 195
- Dominant: No
\(\lambda=(49,41,38)\)
- Multiplicity: 58
- Dimension: 234
- Dominant: No
\(\lambda=(52,43,33)\)
- Multiplicity: 18
- Dimension: 1155
- Dominant: No
\(\lambda=(54,39,35)\)
- Multiplicity: 3
- Dimension: 840
- Dominant: No
\(\lambda=(50,47,31)\)
- Multiplicity: 9
- Dimension: 714
- Dominant: No
\(\lambda=(44,42,42)\)
- Multiplicity: 5
- Dimension: 6
- Dominant: No
\(\lambda=(47,44,37)\)
- Multiplicity: 66
- Dimension: 192
- Dominant: No
\(\lambda=(49,40,39)\)
- Multiplicity: 32
- Dimension: 120
- Dominant: No
\(\lambda=(52,42,34)\)
- Multiplicity: 21
- Dimension: 990
- Dominant: No
\(\lambda=(54,38,36)\)
- Multiplicity: 2
- Dimension: 510
- Dominant: No
\(\lambda=(50,46,32)\)
- Multiplicity: 17
- Dimension: 750
- Dominant: No
\(\lambda=(47,43,38)\)
- Multiplicity: 73
- Dimension: 165
- Dominant: No
\(\lambda=(52,41,35)\)
- Multiplicity: 25
- Dimension: 798
- Dominant: No
\(\lambda=(54,37,37)\)
- Multiplicity: 1
- Dimension: 171
- Dominant: No
\(\lambda=(50,45,33)\)
- Multiplicity: 30
- Dimension: 741
- Dominant: No
\(\lambda=(47,42,39)\)
- Multiplicity: 61
- Dimension: 120
- Dominant: No
\(\lambda=(48,48,32)\)
- Multiplicity: 3
- Dimension: 153
- Dominant: No
\(\lambda=(53,46,29)\)
- Multiplicity: 1
- Dimension: 1872
- Dominant: Yes
\(\lambda=(52,40,36)\)
- Multiplicity: 20
- Dimension: 585
- Dominant: No
\(\lambda=(50,44,34)\)
- Multiplicity: 41
- Dimension: 693
- Dominant: No
\(\lambda=(45,45,38)\)
- Multiplicity: 22
- Dimension: 36
- Dominant: No
\(\lambda=(47,41,40)\)
- Multiplicity: 35
- Dimension: 63
- Dominant: No
\(\lambda=(48,47,33)\)
- Multiplicity: 16
- Dimension: 255
- Dominant: No
\(\lambda=(53,45,30)\)
- Multiplicity: 2
- Dimension: 1800
- Dominant: No
\(\lambda=(52,39,37)\)
- Multiplicity: 16
- Dimension: 357
- Dominant: No
\(\lambda=(51,49,28)\)
- Multiplicity: 1
- Dimension: 825
- Dominant: Yes
\(\lambda=(50,43,35)\)
- Multiplicity: 54
- Dimension: 612
- Dominant: No
\(\lambda=(45,44,39)\)
- Multiplicity: 32
- Dimension: 48
- Dominant: No
\(\lambda=(48,46,34)\)
- Multiplicity: 30
- Dimension: 312
- Dominant: No
\(\lambda=(53,44,31)\)
- Multiplicity: 4
- Dimension: 1680
- Dominant: No
\(\lambda=(52,38,38)\)
- Multiplicity: 5
- Dimension: 120
- Dominant: No
\(\lambda=(51,48,29)\)
- Multiplicity: 2
- Dimension: 960
- Dominant: No
\(\lambda=(50,42,36)\)
- Multiplicity: 56
- Dimension: 504
- Dominant: No
\(\lambda=(45,43,40)\)
- Multiplicity: 35
- Dimension: 42
- Dominant: No
\(\lambda=(48,45,35)\)
- Multiplicity: 52
- Dimension: 330
- Dominant: No
\(\lambda=(53,43,32)\)
- Multiplicity: 6
- Dimension: 1518
- Dominant: No
\(\lambda=(51,47,30)\)
- Multiplicity: 5
- Dimension: 1035
- Dominant: No
\(\lambda=(50,41,37)\)
- Multiplicity: 53
- Dimension: 375
- Dominant: No
\(\lambda=(45,42,41)\)
- Multiplicity: 21
- Dimension: 24
- Dominant: No
\(\lambda=(48,44,36)\)
- Multiplicity: 65
- Dimension: 315
- Dominant: No
\(\lambda=(53,42,33)\)
- Multiplicity: 9
- Dimension: 1320
- Dominant: No
\(\lambda=(55,38,35)\)
- Multiplicity: 1
- Dimension: 792
- Dominant: Yes
\(\lambda=(51,46,31)\)
- Multiplicity: 10
- Dimension: 1056
- Dominant: No
\(\lambda=(50,40,38)\)
- Multiplicity: 35
- Dimension: 231
- Dominant: No
\(\lambda=(48,43,37)\)
- Multiplicity: 78
- Dimension: 273
- Dominant: No
\(\lambda=(49,49,30)\)
- Multiplicity: 3
- Dimension: 210
- Dominant: No
\(\lambda=(50,39,39)\)
- Multiplicity: 14
- Dimension: 78
- Dominant: No
\(\lambda=(53,41,34)\)
- Multiplicity: 11
- Dimension: 1092
- Dominant: No
\(\lambda=(51,45,32)\)
- Multiplicity: 18
- Dimension: 1029
- Dominant: No
\(\lambda=(46,46,36)\)
- Multiplicity: 16
- Dimension: 66
- Dominant: No
\(\lambda=(48,42,38)\)
- Multiplicity: 69
- Dimension: 210
- Dominant: No
\(\lambda=(49,48,31)\)
- Multiplicity: 6
- Dimension: 360
- Dominant: No
\(\lambda=(53,40,35)\)
- Multiplicity: 11
- Dimension: 840
- Dominant: No
\(\lambda=(51,44,33)\)
- Multiplicity: 26
- Dimension: 960
- Dominant: No
\(\lambda=(43,43,42)\)
- Multiplicity: 4
- Dimension: 3
- Dominant: No
\(\lambda=(46,45,37)\)
- Multiplicity: 39
- Dimension: 99
- Dominant: No
\(\lambda=(48,41,39)\)
- Multiplicity: 53
- Dimension: 132
- Dominant: No
\(\lambda=(49,47,32)\)
- Multiplicity: 15
- Dimension: 456
- Dominant: No
\(\lambda=(53,39,36)\)
- Multiplicity: 9
- Dimension: 570
- Dominant: No
\(\lambda=(51,43,34)\)
- Multiplicity: 35
- Dimension: 855
- Dominant: No
\(\lambda=(46,44,38)\)
- Multiplicity: 50
- Dimension: 105
- Dominant: No
\(\lambda=(48,40,40)\)
- Multiplicity: 16
- Dimension: 45
- Dominant: No
\(\lambda=(49,46,33)\)
- Multiplicity: 27
- Dimension: 504
- Dominant: No
\(\lambda=(53,38,37)\)
- Multiplicity: 5
- Dimension: 288
- Dominant: No
\(\lambda=(51,42,35)\)
- Multiplicity: 40
- Dimension: 720
- Dominant: No
\(\lambda=(46,43,39)\)
- Multiplicity: 56
- Dimension: 90
- Dominant: No
\(\lambda=(49,45,34)\)
- Multiplicity: 45
- Dimension: 510
- Dominant: No
\(\lambda=(52,47,29)\)
- Multiplicity: 2
- Dimension: 1425
- Dominant: No
\(\lambda=(54,43,31)\)
- Multiplicity: 1
- Dimension: 1950
- Dominant: Yes
\(\lambda=(51,41,36)\)
- Multiplicity: 40
- Dimension: 561
- Dominant: No
\(\lambda=(46,42,40)\)
- Multiplicity: 39
- Dimension: 60
- Dominant: No
\(\lambda=(49,44,35)\)
- Multiplicity: 59
- Dimension: 480
- Dominant: No
\(\lambda=(52,46,30)\)
- Multiplicity: 3
- Dimension: 1428
- Dominant: No
\(\lambda=(54,42,32)\)
- Multiplicity: 2
- Dimension: 1716
- Dominant: No
\(\lambda=(51,40,37)\)
- Multiplicity: 32
- Dimension: 384
- Dominant: No
\(\lambda=(46,41,41)\)
- Multiplicity: 17
- Dimension: 21
- Dominant: No
\(\lambda=(47,47,34)\)
- Multiplicity: 14
- Dimension: 105
- Dominant: No
\(\lambda=(49,43,36)\)
- Multiplicity: 71
- Dimension: 420
- Dominant: No
\(\lambda=(52,45,31)\)
- Multiplicity: 8
- Dimension: 1380
- Dominant: No
\(\lambda=(54,41,33)\)
- Multiplicity: 3
- Dimension: 1449
- Dominant: No
\(\lambda=(51,39,38)\)
- Multiplicity: 18
- Dimension: 195
- Dominant: No
\(\lambda=(50,49,29)\)
- Multiplicity: 1
- Dimension: 483
- Dominant: No
\(\lambda=(44,44,40)\)
- Multiplicity: 10
- Dimension: 15
- Dominant: No
\(\lambda=(47,46,35)\)
- Multiplicity: 30
- Dimension: 168
- Dominant: No
\(\lambda=(49,42,37)\)
- Multiplicity: 70
- Dimension: 336
- Dominant: No
\(\lambda=(52,44,32)\)
- Multiplicity: 12
- Dimension: 1287
- Dominant: No
\(\lambda=(54,40,34)\)
- Multiplicity: 3
- Dimension: 1155
- Dominant: No
\(\lambda=(50,48,30)\)
- Multiplicity: 3
- Dimension: 627
- Dominant: No
\(\textbf{a}=(45,33,50)\)
- Multiplicity: 294
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,36)\)
- Multiplicity: 2418
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,51,29)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,43)\)
- Multiplicity: 6200
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,38,36)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,41)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,43)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,48)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,34)\)
- Multiplicity: 291
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,41)\)
- Multiplicity: 8728
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,48)\)
- Multiplicity: 3780
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,34)\)
- Multiplicity: 486
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,41)\)
- Multiplicity: 2303
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,46)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,48)\)
- Multiplicity: 216
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,53)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,39)\)
- Multiplicity: 710
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,46)\)
- Multiplicity: 3768
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,53)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,39)\)
- Multiplicity: 6824
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,32)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,46)\)
- Multiplicity: 5044
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,51)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,39)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,43,32)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,44)\)
- Multiplicity: 182
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,46)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,51)\)
- Multiplicity: 710
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,37)\)
- Multiplicity: 1220
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,44)\)
- Multiplicity: 8410
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,51)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,37)\)
- Multiplicity: 2727
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,49,30)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,44)\)
- Multiplicity: 3387
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,49)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,36,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,42)\)
- Multiplicity: 985
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,49)\)
- Multiplicity: 1953
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,35)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,42)\)
- Multiplicity: 10376
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,35)\)
- Multiplicity: 420
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,42)\)
- Multiplicity: 985
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,47)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,49)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,54)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,40)\)
- Multiplicity: 2496
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,47)\)
- Multiplicity: 4340
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,40)\)
- Multiplicity: 6994
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,33)\)
- Multiplicity: 460
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,47)\)
- Multiplicity: 2418
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,52)\)
- Multiplicity: 88
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,40)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,55,38)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,41,33)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,45)\)
- Multiplicity: 694
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,52)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,38)\)
- Multiplicity: 3344
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,54,31)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,45)\)
- Multiplicity: 8728
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,50)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,38)\)
- Multiplicity: 2303
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,47,31)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,45)\)
- Multiplicity: 1383
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,50)\)
- Multiplicity: 985
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,54,36)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,43)\)
- Multiplicity: 2727
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,50)\)
- Multiplicity: 729
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,47,36)\)
- Multiplicity: 2418
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,53,29)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,41,43)\)
- Multiplicity: 9536
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,46,29)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,40,36)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,54,41)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,34,43)\)
- Multiplicity: 291
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,48,48)\)
- Multiplicity: 216
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,53,34)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,41)\)
- Multiplicity: 5531
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,41,48)\)
- Multiplicity: 3780
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,46,34)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,40,41)\)
- Multiplicity: 5531
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,34,48)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,41,53)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,53,39)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,33,41)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,47,46)\)
- Multiplicity: 1562
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,34,53)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,46,39)\)
- Multiplicity: 6200
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,52,32)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,40,46)\)
- Multiplicity: 6994
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,47,51)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,39,39)\)
- Multiplicity: 1440
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,45,32)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,53,44)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,33,46)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,40,51)\)
- Multiplicity: 651
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,52,37)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,46,44)\)
- Multiplicity: 5044
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,33,51)\)
- Multiplicity: 182
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,45,37)\)
- Multiplicity: 3768
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,51,30)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,39,44)\)
- Multiplicity: 6824
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,46,49)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,38,37)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,52,42)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,32,44)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,39,49)\)
- Multiplicity: 2496
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,51,35)\)
- Multiplicity: 420
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,45,42)\)
- Multiplicity: 8728
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,32,49)\)
- Multiplicity: 202
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,50,28)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,44,35)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,38,42)\)
- Multiplicity: 3344
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,52,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,39,54)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,51,40)\)
- Multiplicity: 651
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,45,47)\)
- Multiplicity: 2418
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,32,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,44,40)\)
- Multiplicity: 8410
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,50,33)\)
- Multiplicity: 294
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,38,47)\)
- Multiplicity: 4340
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,45,52)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,37,40)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(42,36,50)\)
- Multiplicity: 985
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,48,36)\)
- Multiplicity: 2031
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,42,43)\)
- Multiplicity: 10376
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,29,50)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,41,36)\)
- Multiplicity: 548
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,47,29)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,35,43)\)
- Multiplicity: 729
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,49,48)\)
- Multiplicity: 87
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,36,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,54,34)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,48,41)\)
- Multiplicity: 3780
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,42,48)\)
- Multiplicity: 3344
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,47,34)\)
- Multiplicity: 904
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,41,41)\)
- Multiplicity: 7289
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,48)\)
- Multiplicity: 1383
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,53)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,54,39)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,40,34)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,34,41)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,48,46)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,53)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,47,39)\)
- Multiplicity: 5104
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,53,32)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,41,46)\)
- Multiplicity: 7289
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,48,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,40,39)\)
- Multiplicity: 2496
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,46,32)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,34,46)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,41,51)\)
- Multiplicity: 548
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,53,37)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,44)\)
- Multiplicity: 3387
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,34,51)\)
- Multiplicity: 291
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,46,37)\)
- Multiplicity: 3768
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,52,30)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,44)\)
- Multiplicity: 8410
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,49)\)
- Multiplicity: 202
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,39,37)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,45,30)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,53,42)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,33,44)\)
- Multiplicity: 182
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,49)\)
- Multiplicity: 2496
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,52,35)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,46,42)\)
- Multiplicity: 6994
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,49)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,51,28)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,35)\)
- Multiplicity: 1383
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,42)\)
- Multiplicity: 5104
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,54)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,40)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,38,35)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,32,42)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,47)\)
- Multiplicity: 1562
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,40)\)
- Multiplicity: 8045
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,51,33)\)
- Multiplicity: 182
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,47)\)
- Multiplicity: 5104
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,52)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,40)\)
- Multiplicity: 1380
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,44,33)\)
- Multiplicity: 182
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,45)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,47)\)
- Multiplicity: 202
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,52)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,38)\)
- Multiplicity: 710
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,45)\)
- Multiplicity: 5313
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,52)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,38)\)
- Multiplicity: 5044
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,50,31)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,45)\)
- Multiplicity: 5313
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,50)\)
- Multiplicity: 294
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,38)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,43,31)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,43)\)
- Multiplicity: 291
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,45)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,50)\)
- Multiplicity: 1380
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,36)\)
- Multiplicity: 985
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,43)\)
- Multiplicity: 9536
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,50)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,36)\)
- Multiplicity: 1520
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,49,29)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,43)\)
- Multiplicity: 2727
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,48)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,41)\)
- Multiplicity: 1220
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,48)\)
- Multiplicity: 2031
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,34)\)
- Multiplicity: 694
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,41)\)
- Multiplicity: 9536
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,48)\)
- Multiplicity: 2727
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,42,34)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,41)\)
- Multiplicity: 548
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,46)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,48)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,53)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,39)\)
- Multiplicity: 2496
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,46)\)
- Multiplicity: 6200
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,53)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,39)\)
- Multiplicity: 5104
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,48,32)\)
- Multiplicity: 216
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,46)\)
- Multiplicity: 2552
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,51)\)
- Multiplicity: 291
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,35,39)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,55,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,44)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,46)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,51)\)
- Multiplicity: 548
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,37)\)
- Multiplicity: 2727
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,44)\)
- Multiplicity: 9929
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,49)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,37)\)
- Multiplicity: 1220
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,47,30)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,44)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,49)\)
- Multiplicity: 1953
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,54,35)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,42)\)
- Multiplicity: 3344
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,49)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,35)\)
- Multiplicity: 1562
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,42)\)
- Multiplicity: 8728
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,40,35)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,54,40)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,42)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,47)\)
- Multiplicity: 460
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,54)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,40)\)
- Multiplicity: 5531
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,53,33)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,47)\)
- Multiplicity: 5531
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,40)\)
- Multiplicity: 3929
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,33)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,47)\)
- Multiplicity: 904
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,52)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,38)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,45)\)
- Multiplicity: 2418
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,52)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,38)\)
- Multiplicity: 5044
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,52,31)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,45)\)
- Multiplicity: 8045
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,50)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,38)\)
- Multiplicity: 710
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,45,31)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,43)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,45)\)
- Multiplicity: 294
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,50)\)
- Multiplicity: 1380
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,36)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,43)\)
- Multiplicity: 6200
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{20,\lambda}(2,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{20,1}(2,2;6)\). 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 \(\beta_{20,\textbf{a}}(2,2;6)\). 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!