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 |
(0,0,0) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
(10,2,0) |
(15,2,1) |
(19,4,1) |
(23,5,2) |
(27,5,4) |
(30,8,4) |
(33,10,5) |
(36,11,7) |
(39,11,10) |
(41,15,10) |
(43,18,11) |
(45,20,13) |
(47,21,16) |
(49,21,20) |
(50,26,20) |
(51,30,21) |
(52,33,23) |
(53,35,26) |
(54,36,30) |
(55,36,35) |
(55,41,36) |
· |
· |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(45,45,18) |
(48,45,21) |
(50,46,24) |
(52,46,28) |
(53,48,31) |
(54,49,35) |
(55,49,40) |
(55,52,43) |
(55,54,47) |
(55,55,52) |
\(\lambda=(51,35,28)\)
- Multiplicity: 12
- Dimension: 1700
- Dominant: No
\(\lambda=(46,37,31)\)
- Multiplicity: 39
- Dimension: 595
- Dominant: No
\(\lambda=(49,38,27)\)
- Multiplicity: 18
- Dimension: 1728
- Dominant: No
\(\lambda=(44,40,30)\)
- Multiplicity: 11
- Dimension: 440
- Dominant: No
\(\lambda=(51,33,30)\)
- Multiplicity: 10
- Dimension: 874
- Dominant: No
\(\lambda=(47,41,26)\)
- Multiplicity: 3
- Dimension: 1288
- Dominant: No
\(\lambda=(46,35,33)\)
- Multiplicity: 28
- Dimension: 270
- Dominant: No
\(\lambda=(45,44,25)\)
- Multiplicity: 1
- Dimension: 440
- Dominant: No
\(\lambda=(49,36,29)\)
- Multiplicity: 31
- Dimension: 1232
- Dominant: No
\(\lambda=(44,38,32)\)
- Multiplicity: 27
- Dimension: 343
- Dominant: No
\(\lambda=(52,37,25)\)
- Multiplicity: 1
- Dimension: 3016
- Dominant: No
\(\lambda=(47,39,28)\)
- Multiplicity: 4
- Dimension: 1134
- Dominant: No
\(\lambda=(45,42,27)\)
- Multiplicity: 5
- Dimension: 640
- Dominant: No
\(\lambda=(49,34,31)\)
- Multiplicity: 28
- Dimension: 640
- Dominant: No
\(\lambda=(50,40,24)\)
- Multiplicity: 3
- Dimension: 2618
- Dominant: No
\(\lambda=(44,36,34)\)
- Multiplicity: 23
- Dimension: 162
- Dominant: No
\(\lambda=(52,35,27)\)
- Multiplicity: 4
- Dimension: 2187
- Dominant: No
\(\lambda=(47,37,30)\)
- Multiplicity: 4
- Dimension: 836
- Dominant: No
\(\lambda=(50,38,26)\)
- Multiplicity: 10
- Dimension: 2197
- Dominant: No
\(\lambda=(45,40,29)\)
- Multiplicity: 13
- Dimension: 648
- Dominant: No
\(\lambda=(48,41,25)\)
- Multiplicity: 1
- Dimension: 1700
- Dominant: No
\(\lambda=(52,33,29)\)
- Multiplicity: 4
- Dimension: 1250
- Dominant: No
\(\lambda=(47,35,32)\)
- Multiplicity: 39
- Dimension: 442
- Dominant: No
\(\lambda=(43,43,28)\)
- Multiplicity: 6
- Dimension: 136
- Dominant: No
\(\lambda=(50,36,28)\)
- Multiplicity: 20
- Dimension: 1620
- Dominant: No
\(\lambda=(45,38,31)\)
- Multiplicity: 32
- Dimension: 512
- Dominant: No
\(\lambda=(40,40,34)\)
- Multiplicity: 4
- Dimension: 28
- Dominant: No
\(\lambda=(46,44,24)\)
- Multiplicity: 1
- Dimension: 756
- Dominant: No
\(\lambda=(48,39,27)\)
- Multiplicity: 2
- Dimension: 1495
- Dominant: No
\(\lambda=(52,31,31)\)
- Multiplicity: 1
- Dimension: 253
- Dominant: No
\(\lambda=(50,34,30)\)
- Multiplicity: 22
- Dimension: 935
- Dominant: No
\(\lambda=(51,40,23)\)
- Multiplicity: 1
- Dimension: 3240
- Dominant: Yes
\(\lambda=(45,36,33)\)
- Multiplicity: 31
- Dimension: 280
- Dominant: No
\(\lambda=(40,38,36)\)
- Multiplicity: 2
- Dimension: 27
- Dominant: No
\(\lambda=(46,42,26)\)
- Multiplicity: 4
- Dimension: 935
- Dominant: No
\(\lambda=(48,37,29)\)
- Multiplicity: 2
- Dimension: 1134
- Dominant: No
\(\lambda=(53,35,26)\)
- Multiplicity: 1
- Dimension: 2755
- Dominant: Yes
\(\lambda=(43,39,32)\)
- Multiplicity: 6
- Dimension: 260
- Dominant: No
\(\lambda=(50,32,32)\)
- Multiplicity: 7
- Dimension: 190
- Dominant: No
\(\lambda=(51,38,25)\)
- Multiplicity: 4
- Dimension: 2744
- Dominant: No
\(\lambda=(46,40,28)\)
- Multiplicity: 7
- Dimension: 910
- Dominant: No
\(\lambda=(44,43,27)\)
- Multiplicity: 3
- Dimension: 323
- Dominant: No
\(\lambda=(48,35,31)\)
- Multiplicity: 38
- Dimension: 665
- Dominant: No
\(\lambda=(49,41,24)\)
- Multiplicity: 1
- Dimension: 2187
- Dominant: No
\(\lambda=(53,33,28)\)
- Multiplicity: 1
- Dimension: 1701
- Dominant: No
\(\lambda=(43,37,34)\)
- Multiplicity: 10
- Dimension: 154
- Dominant: No
\(\lambda=(51,36,27)\)
- Multiplicity: 9
- Dimension: 2080
- Dominant: No
\(\lambda=(46,38,30)\)
- Multiplicity: 9
- Dimension: 729
- Dominant: No
\(\lambda=(49,39,26)\)
- Multiplicity: 10
- Dimension: 1925
- Dominant: No
\(\lambda=(53,31,30)\)
- Multiplicity: 1
- Dimension: 575
- Dominant: No
\(\lambda=(48,33,33)\)
- Multiplicity: 7
- Dimension: 136
- Dominant: No
\(\lambda=(44,41,29)\)
- Multiplicity: 17
- Dimension: 442
- Dominant: No
\(\lambda=(51,34,29)\)
- Multiplicity: 12
- Dimension: 1296
- Dominant: No
\(\lambda=(46,36,32)\)
- Multiplicity: 45
- Dimension: 440
- Dominant: No
\(\lambda=(47,42,25)\)
- Multiplicity: 1
- Dimension: 1296
- Dominant: No
\(\lambda=(49,37,28)\)
- Multiplicity: 24
- Dimension: 1495
- Dominant: No
\(\lambda=(44,39,31)\)
- Multiplicity: 14
- Dimension: 405
- Dominant: No
\(\lambda=(52,38,24)\)
- Multiplicity: 1
- Dimension: 3375
- Dominant: Yes
\(\lambda=(51,32,31)\)
- Multiplicity: 6
- Dimension: 440
- Dominant: No
\(\lambda=(47,40,27)\)
- Multiplicity: 3
- Dimension: 1232
- Dominant: No
\(\lambda=(46,34,34)\)
- Multiplicity: 16
- Dimension: 91
- Dominant: No
\(\lambda=(42,42,30)\)
- Multiplicity: 1
- Dimension: 91
- Dominant: No
\(\lambda=(45,43,26)\)
- Multiplicity: 2
- Dimension: 567
- Dominant: No
\(\lambda=(49,35,30)\)
- Multiplicity: 33
- Dimension: 945
- Dominant: No
\(\lambda=(44,37,33)\)
- Multiplicity: 20
- Dimension: 260
- Dominant: No
\(\lambda=(52,36,26)\)
- Multiplicity: 3
- Dimension: 2618
- Dominant: No
\(\lambda=(47,38,29)\)
- Multiplicity: 4
- Dimension: 1000
- Dominant: No
\(\lambda=(42,40,32)\)
- Multiplicity: 6
- Dimension: 162
- Dominant: No
\(\lambda=(45,41,28)\)
- Multiplicity: 10
- Dimension: 665
- Dominant: No
\(\lambda=(49,33,32)\)
- Multiplicity: 15
- Dimension: 323
- Dominant: No
\(\lambda=(50,39,25)\)
- Multiplicity: 4
- Dimension: 2430
- Dominant: No
\(\lambda=(44,35,35)\)
- Multiplicity: 4
- Dimension: 55
- Dominant: No
\(\lambda=(48,42,24)\)
- Multiplicity: 1
- Dimension: 1729
- Dominant: No
\(\lambda=(52,34,28)\)
- Multiplicity: 5
- Dimension: 1729
- Dominant: No
\(\lambda=(47,36,31)\)
- Multiplicity: 46
- Dimension: 648
- Dominant: No
\(\lambda=(42,38,34)\)
- Multiplicity: 9
- Dimension: 125
- Dominant: No
\(\lambda=(50,37,27)\)
- Multiplicity: 13
- Dimension: 1925
- Dominant: No
\(\lambda=(45,39,30)\)
- Multiplicity: 16
- Dimension: 595
- Dominant: No
\(\lambda=(48,40,26)\)
- Multiplicity: 1
- Dimension: 1620
- Dominant: No
\(\lambda=(52,32,30)\)
- Multiplicity: 4
- Dimension: 756
- Dominant: No
\(\lambda=(47,34,33)\)
- Multiplicity: 23
- Dimension: 224
- Dominant: No
\(\lambda=(42,36,36)\)
- Multiplicity: 5
- Dimension: 28
- Dominant: No
\(\lambda=(43,42,29)\)
- Multiplicity: 20
- Dimension: 224
- Dominant: No
\(\lambda=(50,35,29)\)
- Multiplicity: 21
- Dimension: 1288
- Dominant: No
\(\lambda=(45,37,32)\)
- Multiplicity: 33
- Dimension: 405
- Dominant: No
\(\lambda=(46,43,25)\)
- Multiplicity: 1
- Dimension: 874
- Dominant: No
\(\lambda=(48,38,28)\)
- Multiplicity: 1
- Dimension: 1331
- Dominant: No
\(\lambda=(43,40,31)\)
- Multiplicity: 5
- Dimension: 280
- Dominant: No
\(\lambda=(46,41,27)\)
- Multiplicity: 7
- Dimension: 945
- Dominant: No
\(\lambda=(50,33,31)\)
- Multiplicity: 13
- Dimension: 567
- Dominant: No
\(\lambda=(51,39,24)\)
- Multiplicity: 2
- Dimension: 3016
- Dominant: No
\(\lambda=(45,35,34)\)
- Multiplicity: 19
- Dimension: 143
- Dominant: No
\(\lambda=(48,36,30)\)
- Multiplicity: 1
- Dimension: 910
- Dominant: No
\(\lambda=(53,34,27)\)
- Multiplicity: 1
- Dimension: 2240
- Dominant: No
\(\lambda=(44,44,26)\)
- Multiplicity: 1
- Dimension: 190
- Dominant: No
\(\lambda=(43,38,33)\)
- Multiplicity: 13
- Dimension: 216
- Dominant: No
\(\lambda=(51,37,26)\)
- Multiplicity: 6
- Dimension: 2430
- Dominant: No
\(\lambda=(46,39,29)\)
- Multiplicity: 10
- Dimension: 836
- Dominant: No
\(\lambda=(44,42,28)\)
- Multiplicity: 8
- Dimension: 405
- Dominant: No
\(\lambda=(48,34,32)\)
- Multiplicity: 31
- Dimension: 405
- Dominant: No
\(\lambda=(49,40,25)\)
- Multiplicity: 5
- Dimension: 2080
- Dominant: No
\(\lambda=(53,32,29)\)
- Multiplicity: 1
- Dimension: 1144
- Dominant: No
\(\lambda=(43,36,35)\)
- Multiplicity: 7
- Dimension: 80
- Dominant: No
\(\lambda=(38,38,38)\)
- Multiplicity: 1
- Dimension: 1
- Dominant: No
\(\textbf{a}=(39,27,48)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,41)\)
- Multiplicity: 5438
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,27)\)
- Multiplicity: 278
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,34)\)
- Multiplicity: 6618
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,40,46)\)
- Multiplicity: 534
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,26,41)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,39)\)
- Multiplicity: 924
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,27)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,32)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,34)\)
- Multiplicity: 1181
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,33,46)\)
- Multiplicity: 2822
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,32)\)
- Multiplicity: 3088
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,25)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,39)\)
- Multiplicity: 8648
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,40,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,26,46)\)
- Multiplicity: 112
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,44)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,32)\)
- Multiplicity: 3600
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,25)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,52,37)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,39)\)
- Multiplicity: 3939
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,33,51)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,44)\)
- Multiplicity: 2692
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,32)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,30)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,25)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,37)\)
- Multiplicity: 3088
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,39)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,26,51)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,44)\)
- Multiplicity: 3600
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,30)\)
- Multiplicity: 1844
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,37)\)
- Multiplicity: 9104
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,49)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,44)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,45,42)\)
- Multiplicity: 278
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,30)\)
- Multiplicity: 1125
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,35)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,37)\)
- Multiplicity: 1968
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,49)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,38,42)\)
- Multiplicity: 6324
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,28)\)
- Multiplicity: 140
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,35)\)
- Multiplicity: 5177
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,49)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,31,42)\)
- Multiplicity: 2971
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,40)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,28)\)
- Multiplicity: 615
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,35)\)
- Multiplicity: 7008
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,38,47)\)
- Multiplicity: 762
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,24,42)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,40)\)
- Multiplicity: 1844
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,28)\)
- Multiplicity: 140
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,33)\)
- Multiplicity: 304
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,35)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,31,47)\)
- Multiplicity: 1496
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,40)\)
- Multiplicity: 8733
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,26)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,33)\)
- Multiplicity: 4951
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,38,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,24,47)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,45)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,40)\)
- Multiplicity: 1844
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,26)\)
- Multiplicity: 112
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,33)\)
- Multiplicity: 3665
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,50,38)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,31,52)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,45)\)
- Multiplicity: 3088
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,40)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,31)\)
- Multiplicity: 609
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,33)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,38)\)
- Multiplicity: 4951
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,24,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,45)\)
- Multiplicity: 1673
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,31)\)
- Multiplicity: 2971
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,24)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,38)\)
- Multiplicity: 8507
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,50)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,45)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,43,43)\)
- Multiplicity: 615
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,31)\)
- Multiplicity: 1021
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,24)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,36)\)
- Multiplicity: 368
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,38)\)
- Multiplicity: 762
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,50)\)
- Multiplicity: 263
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,36,43)\)
- Multiplicity: 6220
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,29)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,36)\)
- Multiplicity: 7272
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,23,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,43,48)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,29,43)\)
- Multiplicity: 1163
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,49,41)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,41,29)\)
- Multiplicity: 1112
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,36)\)
- Multiplicity: 6220
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,36,48)\)
- Multiplicity: 803
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,41)\)
- Multiplicity: 2971
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,34,29)\)
- Multiplicity: 87
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,48,34)\)
- Multiplicity: 1181
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,36)\)
- Multiplicity: 140
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,29,48)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,41)\)
- Multiplicity: 7530
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,27)\)
- Multiplicity: 240
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,41,34)\)
- Multiplicity: 6618
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,42,46)\)
- Multiplicity: 112
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,28,41)\)
- Multiplicity: 574
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,48,39)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,40,27)\)
- Multiplicity: 240
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,34,34)\)
- Multiplicity: 2960
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,29,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
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- Multiplicity: 117
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,46,43)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,31)\)
- Multiplicity: 2386
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,24)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,52,36)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,38)\)
- Multiplicity: 3600
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,50)\)
- Multiplicity: 304
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,39,43)\)
- Multiplicity: 3939
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,31)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,29)\)
- Multiplicity: 87
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,36)\)
- Multiplicity: 3665
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,25,38)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,50)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,32,43)\)
- Multiplicity: 3939
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,29)\)
- Multiplicity: 1112
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,36)\)
- Multiplicity: 8507
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,39,48)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,25,43)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,41)\)
- Multiplicity: 574
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,29)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,34)\)
- Multiplicity: 87
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,36)\)
- Multiplicity: 1496
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,32,48)\)
- Multiplicity: 1181
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,41)\)
- Multiplicity: 7530
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,27)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,34)\)
- Multiplicity: 4978
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,25,48)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,46)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,41)\)
- Multiplicity: 2971
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,51,39)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,27)\)
- Multiplicity: 288
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,34)\)
- Multiplicity: 5762
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,32,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,46)\)
- Multiplicity: 1434
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,41)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,27)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,32)\)
- Multiplicity: 322
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,34)\)
- Multiplicity: 263
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,39)\)
- Multiplicity: 2692
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,46)\)
- Multiplicity: 1968
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,32)\)
- Multiplicity: 3939
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,25)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,39)\)
- Multiplicity: 9104
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,51)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,46)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,44,44)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,32)\)
- Multiplicity: 2474
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,25)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,37)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,39)\)
- Multiplicity: 1673
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,51)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,37,44)\)
- Multiplicity: 4393
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,32)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,30)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,37)\)
- Multiplicity: 5762
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,51)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,30,44)\)
- Multiplicity: 1844
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,30)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,37)\)
- Multiplicity: 8020
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,37,49)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,23,44)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,42)\)
- Multiplicity: 1163
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,30)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,35)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,37)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,30,49)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,42)\)
- Multiplicity: 7272
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,28)\)
- Multiplicity: 360
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,35)\)
- Multiplicity: 7008
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,23,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,47)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,42)\)
- Multiplicity: 1163
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,49,40)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,28)\)
- Multiplicity: 574
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,35)\)
- Multiplicity: 5177
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,47)\)
- Multiplicity: 1496
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,40)\)
- Multiplicity: 4132
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,28)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,33)\)
- Multiplicity: 1231
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,35)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,47)\)
- Multiplicity: 762
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,40)\)
- Multiplicity: 7787
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,26)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,33)\)
- Multiplicity: 5438
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,52)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,42,45)\)
- Multiplicity: 278
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,28,40)\)
- Multiplicity: 534
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,26)\)
- Multiplicity: 95
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,33)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,38)\)
- Multiplicity: 360
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,52)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,35,45)\)
- Multiplicity: 3998
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,31)\)
- Multiplicity: 1496
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,38)\)
- Multiplicity: 7530
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,28,45)\)
- Multiplicity: 574
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,31)\)
- Multiplicity: 2890
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,24)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,38)\)
- Multiplicity: 6324
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,35,50)\)
- Multiplicity: 202
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,43)\)
- Multiplicity: 1936
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,31)\)
- Multiplicity: 304
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,24)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,36)\)
- Multiplicity: 1496
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,38)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,28,50)\)
- Multiplicity: 140
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,43)\)
- Multiplicity: 5762
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,29)\)
- Multiplicity: 924
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,36)\)
- Multiplicity: 8507
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,48)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,43)\)
- Multiplicity: 288
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,47,41)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,29)\)
- Multiplicity: 924
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,53,34)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,36)\)
- Multiplicity: 3665
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,48)\)
- Multiplicity: 1181
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,40,41)\)
- Multiplicity: 5438
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,27)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,34)\)
- Multiplicity: 2960
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,26,36)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{18,\lambda}(2,0;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{18,1}(2,0;6)\). 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 \(\beta_{18,\textbf{a}}(2,0;6)\). 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!