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) |
\(\lambda=(44,42,41)\)
- Multiplicity: 3
- Dimension: 15
- Dominant: No
\(\lambda=(47,44,36)\)
- Multiplicity: 16
- Dimension: 234
- Dominant: No
\(\lambda=(49,40,38)\)
- Multiplicity: 13
- Dimension: 195
- Dominant: No
\(\lambda=(52,42,33)\)
- Multiplicity: 9
- Dimension: 1155
- Dominant: No
\(\lambda=(54,38,35)\)
- Multiplicity: 2
- Dimension: 714
- Dominant: No
\(\lambda=(50,46,31)\)
- Multiplicity: 3
- Dimension: 840
- Dominant: No
\(\lambda=(47,43,37)\)
- Multiplicity: 23
- Dimension: 210
- Dominant: No
\(\lambda=(49,39,39)\)
- Multiplicity: 8
- Dimension: 66
- Dominant: No
\(\lambda=(52,41,34)\)
- Multiplicity: 11
- Dimension: 960
- Dominant: No
\(\lambda=(54,37,36)\)
- Multiplicity: 1
- Dimension: 360
- Dominant: No
\(\lambda=(50,45,32)\)
- Multiplicity: 7
- Dimension: 840
- Dominant: No
\(\lambda=(47,42,38)\)
- Multiplicity: 18
- Dimension: 165
- Dominant: No
\(\lambda=(52,40,35)\)
- Multiplicity: 11
- Dimension: 741
- Dominant: No
\(\lambda=(50,44,33)\)
- Multiplicity: 11
- Dimension: 798
- Dominant: No
\(\lambda=(45,45,37)\)
- Multiplicity: 7
- Dimension: 45
- Dominant: No
\(\lambda=(47,41,39)\)
- Multiplicity: 17
- Dimension: 105
- Dominant: No
\(\lambda=(48,47,32)\)
- Multiplicity: 2
- Dimension: 288
- Dominant: No
\(\lambda=(52,39,36)\)
- Multiplicity: 9
- Dimension: 504
- Dominant: No
\(\lambda=(53,45,29)\)
- Multiplicity: 1
- Dimension: 1989
- Dominant: Yes
\(\lambda=(50,43,34)\)
- Multiplicity: 16
- Dimension: 720
- Dominant: No
\(\lambda=(45,44,38)\)
- Multiplicity: 8
- Dimension: 63
- Dominant: No
\(\lambda=(47,40,40)\)
- Multiplicity: 3
- Dimension: 36
- Dominant: No
\(\lambda=(48,46,33)\)
- Multiplicity: 6
- Dimension: 357
- Dominant: No
\(\lambda=(53,44,30)\)
- Multiplicity: 1
- Dimension: 1875
- Dominant: No
\(\lambda=(52,38,37)\)
- Multiplicity: 5
- Dimension: 255
- Dominant: No
\(\lambda=(50,42,35)\)
- Multiplicity: 20
- Dimension: 612
- Dominant: No
\(\lambda=(45,43,39)\)
- Multiplicity: 12
- Dimension: 60
- Dominant: No
\(\lambda=(48,45,34)\)
- Multiplicity: 12
- Dimension: 384
- Dominant: No
\(\lambda=(53,43,31)\)
- Multiplicity: 3
- Dimension: 1716
- Dominant: No
\(\lambda=(51,47,29)\)
- Multiplicity: 1
- Dimension: 1140
- Dominant: No
\(\lambda=(50,41,36)\)
- Multiplicity: 21
- Dimension: 480
- Dominant: No
\(\lambda=(45,42,40)\)
- Multiplicity: 7
- Dimension: 42
- Dominant: No
\(\lambda=(48,44,35)\)
- Multiplicity: 17
- Dimension: 375
- Dominant: No
\(\lambda=(53,42,32)\)
- Multiplicity: 3
- Dimension: 1518
- Dominant: No
\(\lambda=(51,46,30)\)
- Multiplicity: 1
- Dimension: 1173
- Dominant: No
\(\lambda=(50,40,37)\)
- Multiplicity: 17
- Dimension: 330
- Dominant: No
\(\lambda=(45,41,41)\)
- Multiplicity: 5
- Dimension: 15
- Dominant: No
\(\lambda=(48,43,36)\)
- Multiplicity: 22
- Dimension: 336
- Dominant: No
\(\lambda=(55,37,35)\)
- Multiplicity: 1
- Dimension: 627
- Dominant: Yes
\(\lambda=(53,41,33)\)
- Multiplicity: 7
- Dimension: 1287
- Dominant: No
\(\lambda=(51,45,31)\)
- Multiplicity: 5
- Dimension: 1155
- Dominant: No
\(\lambda=(50,39,38)\)
- Multiplicity: 9
- Dimension: 168
- Dominant: No
\(\lambda=(49,49,29)\)
- Multiplicity: 1
- Dimension: 231
- Dominant: No
\(\lambda=(46,46,35)\)
- Multiplicity: 3
- Dimension: 78
- Dominant: No
\(\lambda=(48,42,37)\)
- Multiplicity: 23
- Dimension: 273
- Dominant: No
\(\lambda=(53,40,34)\)
- Multiplicity: 5
- Dimension: 1029
- Dominant: No
\(\lambda=(51,44,32)\)
- Multiplicity: 7
- Dimension: 1092
- Dominant: No
\(\lambda=(49,48,30)\)
- Multiplicity: 1
- Dimension: 399
- Dominant: No
\(\lambda=(43,43,41)\)
- Multiplicity: 3
- Dimension: 6
- Dominant: No
\(\lambda=(46,45,36)\)
- Multiplicity: 10
- Dimension: 120
- Dominant: No
\(\lambda=(48,41,38)\)
- Multiplicity: 20
- Dimension: 192
- Dominant: No
\(\lambda=(53,39,35)\)
- Multiplicity: 7
- Dimension: 750
- Dominant: No
\(\lambda=(51,43,33)\)
- Multiplicity: 12
- Dimension: 990
- Dominant: No
\(\lambda=(49,47,31)\)
- Multiplicity: 3
- Dimension: 510
- Dominant: No
\(\lambda=(46,44,37)\)
- Multiplicity: 13
- Dimension: 132
- Dominant: No
\(\lambda=(48,40,39)\)
- Multiplicity: 11
- Dimension: 99
- Dominant: No
\(\lambda=(53,38,36)\)
- Multiplicity: 3
- Dimension: 456
- Dominant: No
\(\lambda=(51,42,34)\)
- Multiplicity: 13
- Dimension: 855
- Dominant: No
\(\lambda=(49,46,32)\)
- Multiplicity: 5
- Dimension: 570
- Dominant: No
\(\lambda=(46,43,38)\)
- Multiplicity: 16
- Dimension: 120
- Dominant: No
\(\lambda=(49,45,33)\)
- Multiplicity: 12
- Dimension: 585
- Dominant: No
\(\lambda=(53,37,37)\)
- Multiplicity: 3
- Dimension: 153
- Dominant: No
\(\lambda=(51,41,35)\)
- Multiplicity: 19
- Dimension: 693
- Dominant: No
\(\lambda=(46,42,39)\)
- Multiplicity: 14
- Dimension: 90
- Dominant: No
\(\lambda=(49,44,34)\)
- Multiplicity: 15
- Dimension: 561
- Dominant: No
\(\lambda=(52,46,29)\)
- Multiplicity: 1
- Dimension: 1575
- Dominant: No
\(\lambda=(54,42,31)\)
- Multiplicity: 1
- Dimension: 1950
- Dominant: Yes
\(\lambda=(51,40,36)\)
- Multiplicity: 13
- Dimension: 510
- Dominant: No
\(\lambda=(46,41,40)\)
- Multiplicity: 8
- Dimension: 48
- Dominant: No
\(\lambda=(47,47,33)\)
- Multiplicity: 3
- Dimension: 120
- Dominant: No
\(\lambda=(49,43,35)\)
- Multiplicity: 23
- Dimension: 504
- Dominant: No
\(\lambda=(52,45,30)\)
- Multiplicity: 2
- Dimension: 1536
- Dominant: No
\(\lambda=(54,41,32)\)
- Multiplicity: 2
- Dimension: 1680
- Dominant: No
\(\lambda=(51,39,37)\)
- Multiplicity: 13
- Dimension: 312
- Dominant: No
\(\lambda=(44,44,39)\)
- Multiplicity: 2
- Dimension: 21
- Dominant: No
\(\lambda=(47,46,34)\)
- Multiplicity: 6
- Dimension: 195
- Dominant: No
\(\lambda=(49,42,36)\)
- Multiplicity: 22
- Dimension: 420
- Dominant: No
\(\lambda=(52,44,31)\)
- Multiplicity: 4
- Dimension: 1449
- Dominant: No
\(\lambda=(54,40,33)\)
- Multiplicity: 2
- Dimension: 1380
- Dominant: No
\(\lambda=(51,38,38)\)
- Multiplicity: 2
- Dimension: 105
- Dominant: No
\(\lambda=(44,43,40)\)
- Multiplicity: 5
- Dimension: 24
- Dominant: No
\(\lambda=(47,45,35)\)
- Multiplicity: 14
- Dimension: 231
- Dominant: No
\(\lambda=(49,41,37)\)
- Multiplicity: 25
- Dimension: 315
- Dominant: No
\(\lambda=(52,43,32)\)
- Multiplicity: 6
- Dimension: 1320
- Dominant: No
\(\lambda=(54,39,34)\)
- Multiplicity: 2
- Dimension: 1056
- Dominant: No
\(\lambda=(50,47,30)\)
- Multiplicity: 1
- Dimension: 792
- Dominant: No
\(\textbf{a}=(33,40,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,38,35)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,40)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,42)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,47)\)
- Multiplicity: 412
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,40)\)
- Multiplicity: 3022
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,33)\)
- Multiplicity: 98
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,47)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,52)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,40)\)
- Multiplicity: 968
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,33)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,45)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,47)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,52)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,38)\)
- Multiplicity: 336
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,45)\)
- Multiplicity: 1649
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,52)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,38)\)
- Multiplicity: 2189
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,31)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,45)\)
- Multiplicity: 2189
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,50)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,38)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,43,31)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,43)\)
- Multiplicity: 98
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,45)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,50)\)
- Multiplicity: 612
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,36)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,43)\)
- Multiplicity: 3254
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,50)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,36)\)
- Multiplicity: 876
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,49,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,43)\)
- Multiplicity: 1407
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,36,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,41)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,48)\)
- Multiplicity: 610
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,34)\)
- Multiplicity: 317
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,41)\)
- Multiplicity: 3663
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,48)\)
- Multiplicity: 1146
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,34)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,41)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,46)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,48)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,53)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,39)\)
- Multiplicity: 1016
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,46)\)
- Multiplicity: 2027
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,39)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,32)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,46)\)
- Multiplicity: 1120
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,51)\)
- Multiplicity: 98
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,39)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,55,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,41,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,44)\)
- Multiplicity: 317
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,46)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,51)\)
- Multiplicity: 278
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,37)\)
- Multiplicity: 1146
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,44)\)
- Multiplicity: 3522
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,49)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,37)\)
- Multiplicity: 855
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,47,30)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,44)\)
- Multiplicity: 610
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,49)\)
- Multiplicity: 676
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,54,35)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,42)\)
- Multiplicity: 1146
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,49)\)
- Multiplicity: 492
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,47,35)\)
- Multiplicity: 695
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,41,42)\)
- Multiplicity: 3522
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,40,35)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,54,40)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,34,42)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,48,47)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,54)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,53,33)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,40)\)
- Multiplicity: 2051
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,41,47)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,40,40)\)
- Multiplicity: 2051
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,46,33)\)
- Multiplicity: 211
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,34,47)\)
- Multiplicity: 412
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,41,52)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,33,40)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,53,38)\)
- Multiplicity: 51
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,47,45)\)
- Multiplicity: 695
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,34,52)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,46,38)\)
- Multiplicity: 2027
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,52,31)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,40,45)\)
- Multiplicity: 3022
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,47,50)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,39,38)\)
- Multiplicity: 612
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,45,31)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,53,43)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,33,45)\)
- Multiplicity: 187
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,40,50)\)
- Multiplicity: 560
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,52,36)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,46,43)\)
- Multiplicity: 2027
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,33,50)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,45,36)\)
- Multiplicity: 1120
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,51,29)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,39,43)\)
- Multiplicity: 2687
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,38,36)\)
- Multiplicity: 51
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,52,41)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,32,43)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,46,48)\)
- Multiplicity: 211
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,51,34)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,45,41)\)
- Multiplicity: 3157
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,39,48)\)
- Multiplicity: 1484
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,44,34)\)
- Multiplicity: 317
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,38,41)\)
- Multiplicity: 1364
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,52,46)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,32,48)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,39,53)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,51,39)\)
- Multiplicity: 324
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,45,46)\)
- Multiplicity: 1120
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,32,53)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,44,39)\)
- Multiplicity: 2781
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,50,32)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,38,46)\)
- Multiplicity: 2027
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,45,51)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,37,39)\)
- Multiplicity: 324
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,43,32)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,51,44)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,31,46)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,38,51)\)
- Multiplicity: 336
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,50,37)\)
- Multiplicity: 560
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,44,44)\)
- Multiplicity: 2781
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,31,51)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,43,37)\)
- Multiplicity: 1407
- Dimension: 1
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- Error: 0
\(\textbf{a}=(39,48,40)\)
- Multiplicity: 1484
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,42,47)\)
- Multiplicity: 1734
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,41,40)\)
- Multiplicity: 2597
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,47,33)\)
- Multiplicity: 221
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,47)\)
- Multiplicity: 695
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,52)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,34,40)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,54,38)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,40,33)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,48,45)\)
- Multiplicity: 380
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,52)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,47,38)\)
- Multiplicity: 1734
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,53,31)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,41,45)\)
- Multiplicity: 3157
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,48,50)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,40,38)\)
- Multiplicity: 968
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,46,31)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,34,45)\)
- Multiplicity: 380
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,41,50)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,53,36)\)
- Multiplicity: 51
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,43)\)
- Multiplicity: 1407
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,34,50)\)
- Multiplicity: 235
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,46,36)\)
- Multiplicity: 1120
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,52,29)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,43)\)
- Multiplicity: 3254
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,48)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,39,36)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,45,29)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,53,41)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,33,43)\)
- Multiplicity: 98
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,52,34)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,46,41)\)
- Multiplicity: 2597
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,48)\)
- Multiplicity: 1484
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,34)\)
- Multiplicity: 380
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,41)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,48)\)
- Multiplicity: 211
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,53)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,39)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,32,41)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,46)\)
- Multiplicity: 720
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,53)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,39)\)
- Multiplicity: 2687
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,51,32)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,46)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,51)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,39)\)
- Multiplicity: 612
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,44,32)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,44)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,46)\)
- Multiplicity: 92
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,51)\)
- Multiplicity: 324
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,37)\)
- Multiplicity: 324
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,44)\)
- Multiplicity: 2189
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,51)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,37)\)
- Multiplicity: 1579
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,50,30)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,44)\)
- Multiplicity: 2189
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,49)\)
- Multiplicity: 187
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,37)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,42)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,44)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,49)\)
- Multiplicity: 968
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,35)\)
- Multiplicity: 350
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,42)\)
- Multiplicity: 3522
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,49)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,35)\)
- Multiplicity: 492
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,42)\)
- Multiplicity: 1146
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,54)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,40)\)
- Multiplicity: 560
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,47)\)
- Multiplicity: 1032
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,40)\)
- Multiplicity: 3254
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,33)\)
- Multiplicity: 187
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,47)\)
- Multiplicity: 1407
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,52)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,40)\)
- Multiplicity: 278
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,42,33)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,45)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,47)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,52)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,38)\)
- Multiplicity: 968
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,45)\)
- Multiplicity: 2687
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,52)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,38)\)
- Multiplicity: 1734
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,48,31)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,45)\)
- Multiplicity: 1120
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,50)\)
- Multiplicity: 235
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,35,38)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,55,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,43)\)
- Multiplicity: 492
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,45)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,50)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,36)\)
- Multiplicity: 876
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,43)\)
- Multiplicity: 3796
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,50)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,48)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,36)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,47,29)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,43)\)
- Multiplicity: 492
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,54,34)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,41)\)
- Multiplicity: 1364
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,48)\)
- Multiplicity: 1146
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,34)\)
- Multiplicity: 412
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,41)\)
- Multiplicity: 3157
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,48)\)
- Multiplicity: 610
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,53)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,54,39)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,40,34)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,41)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,46)\)
- Multiplicity: 211
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,53)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,39)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,53,32)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,46)\)
- Multiplicity: 2597
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,39)\)
- Multiplicity: 1484
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,32)\)
- Multiplicity: 92
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,46)\)
- Multiplicity: 412
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,51)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,37)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,44)\)
- Multiplicity: 1032
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,51)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,37)\)
- Multiplicity: 1579
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,52,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,44)\)
- Multiplicity: 3254
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,49)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,37)\)
- Multiplicity: 324
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,45,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,42)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,44)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,49)\)
- Multiplicity: 968
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,35)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,42)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,49)\)
- Multiplicity: 187
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,35)\)
- Multiplicity: 695
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,42)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{20,\lambda}(2,1;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{20,1}(2,1;6)\). 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 \(\beta_{20,\textbf{a}}(2,1;6)\). 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!