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 |
(3,0,0) |
(8,1,0) |
(13,1,1) |
(17,3,1) |
(21,4,2) |
(25,4,4) |
(28,7,4) |
(31,9,5) |
(34,10,7) |
(37,10,10) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
· |
· |
(19,14,0) |
(24,14,1) |
(28,15,2) |
(32,15,4) |
(35,17,5) |
(38,18,7) |
(41,18,10) |
(43,21,11) |
(45,23,13) |
(47,24,16) |
(49,24,20) |
(50,29,20) |
(51,33,21) |
(52,36,23) |
(53,38,26) |
(54,39,30) |
(55,39,35) |
(55,44,36) |
(55,48,38) |
(55,51,41) |
(55,53,45) |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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(55,55,55) |
\(\lambda=(44,42,37)\)
- Multiplicity: 166
- Dimension: 81
- Dominant: No
\(\lambda=(50,46,27)\)
- Multiplicity: 8
- Dimension: 1250
- Dominant: No
\(\lambda=(54,38,31)\)
- Multiplicity: 1
- Dimension: 1700
- Dominant: No
\(\lambda=(49,40,34)\)
- Multiplicity: 173
- Dimension: 595
- Dominant: No
\(\lambda=(52,41,30)\)
- Multiplicity: 18
- Dimension: 1728
- Dominant: No
\(\lambda=(47,43,33)\)
- Multiplicity: 196
- Dimension: 440
- Dominant: No
\(\lambda=(44,40,39)\)
- Multiplicity: 91
- Dimension: 35
- Dominant: No
\(\lambda=(50,44,29)\)
- Multiplicity: 34
- Dimension: 1288
- Dominant: No
\(\lambda=(54,36,33)\)
- Multiplicity: 1
- Dimension: 874
- Dominant: No
\(\lambda=(49,38,36)\)
- Multiplicity: 106
- Dimension: 270
- Dominant: No
\(\lambda=(52,39,32)\)
- Multiplicity: 28
- Dimension: 1232
- Dominant: No
\(\lambda=(48,47,28)\)
- Multiplicity: 12
- Dimension: 440
- Dominant: No
\(\lambda=(47,41,35)\)
- Multiplicity: 265
- Dimension: 343
- Dominant: No
\(\lambda=(50,42,31)\)
- Multiplicity: 80
- Dimension: 1134
- Dominant: No
\(\lambda=(45,44,34)\)
- Multiplicity: 122
- Dimension: 143
- Dominant: No
\(\lambda=(42,41,40)\)
- Multiplicity: 28
- Dimension: 8
- Dominant: No
\(\lambda=(53,43,27)\)
- Multiplicity: 1
- Dimension: 2618
- Dominant: Yes
\(\lambda=(52,37,34)\)
- Multiplicity: 22
- Dimension: 640
- Dominant: No
\(\lambda=(48,45,30)\)
- Multiplicity: 60
- Dimension: 640
- Dominant: No
\(\lambda=(47,39,37)\)
- Multiplicity: 169
- Dimension: 162
- Dominant: No
\(\lambda=(50,40,33)\)
- Multiplicity: 113
- Dimension: 836
- Dominant: No
\(\lambda=(51,46,26)\)
- Multiplicity: 3
- Dimension: 1701
- Dominant: No
\(\lambda=(45,42,36)\)
- Multiplicity: 228
- Dimension: 154
- Dominant: No
\(\lambda=(53,41,29)\)
- Multiplicity: 4
- Dimension: 2197
- Dominant: No
\(\lambda=(48,43,32)\)
- Multiplicity: 154
- Dimension: 648
- Dominant: No
\(\lambda=(50,38,35)\)
- Multiplicity: 87
- Dimension: 442
- Dominant: No
\(\lambda=(51,44,28)\)
- Multiplicity: 14
- Dimension: 1700
- Dominant: No
\(\lambda=(46,46,31)\)
- Multiplicity: 28
- Dimension: 136
- Dominant: No
\(\lambda=(45,40,38)\)
- Multiplicity: 161
- Dimension: 81
- Dominant: No
\(\lambda=(43,43,37)\)
- Multiplicity: 63
- Dimension: 28
- Dominant: No
\(\lambda=(53,39,31)\)
- Multiplicity: 8
- Dimension: 1620
- Dominant: No
\(\lambda=(49,47,27)\)
- Multiplicity: 7
- Dimension: 756
- Dominant: No
\(\lambda=(48,41,34)\)
- Multiplicity: 226
- Dimension: 512
- Dominant: No
\(\lambda=(51,42,30)\)
- Multiplicity: 38
- Dimension: 1495
- Dominant: No
\(\lambda=(46,44,33)\)
- Multiplicity: 143
- Dimension: 270
- Dominant: No
\(\lambda=(43,41,39)\)
- Multiplicity: 82
- Dimension: 27
- Dominant: No
\(\lambda=(53,37,33)\)
- Multiplicity: 8
- Dimension: 935
- Dominant: No
\(\lambda=(49,45,29)\)
- Multiplicity: 37
- Dimension: 935
- Dominant: No
\(\lambda=(48,39,36)\)
- Multiplicity: 178
- Dimension: 280
- Dominant: No
\(\lambda=(51,40,32)\)
- Multiplicity: 61
- Dimension: 1134
- Dominant: No
\(\lambda=(46,42,35)\)
- Multiplicity: 256
- Dimension: 260
- Dominant: No
\(\lambda=(53,35,35)\)
- Multiplicity: 2
- Dimension: 190
- Dominant: No
\(\lambda=(49,43,31)\)
- Multiplicity: 102
- Dimension: 910
- Dominant: No
\(\lambda=(51,38,34)\)
- Multiplicity: 57
- Dimension: 665
- Dominant: No
\(\lambda=(52,44,27)\)
- Multiplicity: 3
- Dimension: 2187
- Dominant: No
\(\lambda=(47,46,30)\)
- Multiplicity: 36
- Dimension: 323
- Dominant: No
\(\lambda=(46,40,37)\)
- Multiplicity: 217
- Dimension: 154
- Dominant: No
\(\lambda=(44,43,36)\)
- Multiplicity: 133
- Dimension: 80
- Dominant: No
\(\lambda=(50,47,26)\)
- Multiplicity: 3
- Dimension: 1144
- Dominant: No
\(\lambda=(54,39,30)\)
- Multiplicity: 1
- Dimension: 2080
- Dominant: Yes
\(\lambda=(49,41,33)\)
- Multiplicity: 165
- Dimension: 729
- Dominant: No
\(\lambda=(51,36,36)\)
- Multiplicity: 14
- Dimension: 136
- Dominant: No
\(\lambda=(52,42,29)\)
- Multiplicity: 12
- Dimension: 1925
- Dominant: No
\(\lambda=(47,44,32)\)
- Multiplicity: 134
- Dimension: 442
- Dominant: No
\(\lambda=(44,41,38)\)
- Multiplicity: 153
- Dimension: 64
- Dominant: No
\(\lambda=(50,45,28)\)
- Multiplicity: 18
- Dimension: 1296
- Dominant: No
\(\lambda=(54,37,32)\)
- Multiplicity: 1
- Dimension: 1296
- Dominant: No
\(\lambda=(49,39,35)\)
- Multiplicity: 154
- Dimension: 440
- Dominant: No
\(\lambda=(52,40,31)\)
- Multiplicity: 24
- Dimension: 1495
- Dominant: No
\(\lambda=(48,48,27)\)
- Multiplicity: 3
- Dimension: 253
- Dominant: No
\(\lambda=(47,42,34)\)
- Multiplicity: 245
- Dimension: 405
- Dominant: No
\(\lambda=(50,43,30)\)
- Multiplicity: 56
- Dimension: 1232
- Dominant: No
\(\lambda=(54,35,34)\)
- Multiplicity: 1
- Dimension: 440
- Dominant: No
\(\lambda=(49,37,37)\)
- Multiplicity: 38
- Dimension: 91
- Dominant: No
\(\lambda=(45,45,33)\)
- Multiplicity: 54
- Dimension: 91
- Dominant: No
\(\lambda=(42,42,39)\)
- Multiplicity: 32
- Dimension: 10
- Dominant: No
\(\lambda=(52,38,33)\)
- Multiplicity: 27
- Dimension: 945
- Dominant: No
\(\lambda=(48,46,29)\)
- Multiplicity: 29
- Dimension: 567
- Dominant: No
\(\lambda=(47,40,36)\)
- Multiplicity: 239
- Dimension: 260
- Dominant: No
\(\lambda=(50,41,32)\)
- Multiplicity: 101
- Dimension: 1000
- Dominant: No
\(\lambda=(51,47,25)\)
- Multiplicity: 1
- Dimension: 1610
- Dominant: Yes
\(\lambda=(45,43,35)\)
- Multiplicity: 190
- Dimension: 162
- Dominant: No
\(\lambda=(53,42,28)\)
- Multiplicity: 2
- Dimension: 2430
- Dominant: No
\(\lambda=(52,36,35)\)
- Multiplicity: 12
- Dimension: 323
- Dominant: No
\(\lambda=(48,44,31)\)
- Multiplicity: 103
- Dimension: 665
- Dominant: No
\(\lambda=(47,38,38)\)
- Multiplicity: 60
- Dimension: 55
- Dominant: No
\(\lambda=(50,39,34)\)
- Multiplicity: 110
- Dimension: 648
- Dominant: No
\(\lambda=(51,45,27)\)
- Multiplicity: 7
- Dimension: 1729
- Dominant: No
\(\lambda=(45,41,37)\)
- Multiplicity: 223
- Dimension: 125
- Dominant: No
\(\lambda=(53,40,30)\)
- Multiplicity: 6
- Dimension: 1925
- Dominant: No
\(\lambda=(49,48,26)\)
- Multiplicity: 2
- Dimension: 575
- Dominant: No
\(\lambda=(48,42,33)\)
- Multiplicity: 199
- Dimension: 595
- Dominant: No
\(\lambda=(50,37,36)\)
- Multiplicity: 48
- Dimension: 224
- Dominant: No
\(\lambda=(51,43,29)\)
- Multiplicity: 25
- Dimension: 1620
- Dominant: No
\(\lambda=(46,45,32)\)
- Multiplicity: 78
- Dimension: 224
- Dominant: No
\(\lambda=(45,39,39)\)
- Multiplicity: 61
- Dimension: 28
- Dominant: No
\(\lambda=(43,42,38)\)
- Multiplicity: 93
- Dimension: 35
- Dominant: No
\(\lambda=(53,38,32)\)
- Multiplicity: 9
- Dimension: 1288
- Dominant: No
\(\lambda=(49,46,28)\)
- Multiplicity: 18
- Dimension: 874
- Dominant: No
\(\lambda=(48,40,35)\)
- Multiplicity: 221
- Dimension: 405
- Dominant: No
\(\lambda=(51,41,31)\)
- Multiplicity: 51
- Dimension: 1331
- Dominant: No
\(\lambda=(46,43,34)\)
- Multiplicity: 210
- Dimension: 280
- Dominant: No
\(\lambda=(43,40,40)\)
- Multiplicity: 31
- Dimension: 10
- Dominant: No
\(\lambda=(53,36,34)\)
- Multiplicity: 6
- Dimension: 567
- Dominant: No
\(\lambda=(49,44,30)\)
- Multiplicity: 66
- Dimension: 945
- Dominant: No
\(\lambda=(48,38,37)\)
- Multiplicity: 99
- Dimension: 143
- Dominant: No
\(\lambda=(51,39,33)\)
- Multiplicity: 64
- Dimension: 910
- Dominant: No
\(\lambda=(52,45,26)\)
- Multiplicity: 1
- Dimension: 2240
- Dominant: Yes
\(\lambda=(47,47,29)\)
- Multiplicity: 11
- Dimension: 190
- Dominant: No
\(\lambda=(46,41,36)\)
- Multiplicity: 263
- Dimension: 216
- Dominant: No
\(\lambda=(44,44,35)\)
- Multiplicity: 68
- Dimension: 55
- Dominant: No
\(\lambda=(50,48,25)\)
- Multiplicity: 1
- Dimension: 972
- Dominant: No
\(\lambda=(49,42,32)\)
- Multiplicity: 138
- Dimension: 836
- Dominant: No
\(\lambda=(41,41,41)\)
- Multiplicity: 4
- Dimension: 1
- Dominant: No
\(\lambda=(51,37,35)\)
- Multiplicity: 39
- Dimension: 405
- Dominant: No
\(\lambda=(52,43,28)\)
- Multiplicity: 7
- Dimension: 2080
- Dominant: No
\(\lambda=(47,45,31)\)
- Multiplicity: 78
- Dimension: 405
- Dominant: No
\(\lambda=(46,39,38)\)
- Multiplicity: 124
- Dimension: 80
- Dominant: No
\(\textbf{a}=(33,40,50)\)
- Multiplicity: 1268
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,36)\)
- Multiplicity: 258
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,38,31)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,38)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,43)\)
- Multiplicity: 8408
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,26,45)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,50)\)
- Multiplicity: 1268
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,36)\)
- Multiplicity: 17446
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,29)\)
- Multiplicity: 95
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,43)\)
- Multiplicity: 34509
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,26,50)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,48)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,36)\)
- Multiplicity: 4088
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,29)\)
- Multiplicity: 188
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,41)\)
- Multiplicity: 62
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,43)\)
- Multiplicity: 2375
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,48)\)
- Multiplicity: 7038
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,34)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,41)\)
- Multiplicity: 21070
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,48)\)
- Multiplicity: 2375
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,34)\)
- Multiplicity: 9360
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,27)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,41)\)
- Multiplicity: 28161
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,53)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,48)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,46)\)
- Multiplicity: 3459
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,34)\)
- Multiplicity: 236
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,43,27)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,39)\)
- Multiplicity: 576
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,41)\)
- Multiplicity: 289
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,53)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,46)\)
- Multiplicity: 17945
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,32)\)
- Multiplicity: 916
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,39)\)
- Multiplicity: 30364
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,45,51)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,46)\)
- Multiplicity: 1898
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,49,25)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,32)\)
- Multiplicity: 2375
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,39)\)
- Multiplicity: 11897
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,44)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,38,51)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,37)\)
- Multiplicity: 2036
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,30,39)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,44)\)
- Multiplicity: 14024
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,31,51)\)
- Multiplicity: 289
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,30)\)
- Multiplicity: 581
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,37)\)
- Multiplicity: 25332
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,44)\)
- Multiplicity: 24195
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,49)\)
- Multiplicity: 581
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,37)\)
- Multiplicity: 2036
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,30)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,42)\)
- Multiplicity: 603
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,44)\)
- Multiplicity: 581
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,49)\)
- Multiplicity: 4244
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,35)\)
- Multiplicity: 3650
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,42)\)
- Multiplicity: 30755
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,49)\)
- Multiplicity: 581
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,50,47)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,35)\)
- Multiplicity: 11444
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,28)\)
- Multiplicity: 158
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,42)\)
- Multiplicity: 17446
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,47)\)
- Multiplicity: 4759
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,35)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,40)\)
- Multiplicity: 3012
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,42)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,47)\)
- Multiplicity: 10643
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,33)\)
- Multiplicity: 3535
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,40)\)
- Multiplicity: 38914
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,43,52)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,47)\)
- Multiplicity: 415
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,45)\)
- Multiplicity: 294
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,33)\)
- Multiplicity: 2291
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,47,26)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,40)\)
- Multiplicity: 6057
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,36,52)\)
- Multiplicity: 258
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,45)\)
- Multiplicity: 17446
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,54,31)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,38)\)
- Multiplicity: 7580
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,29,52)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,45)\)
- Multiplicity: 13337
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,47,31)\)
- Multiplicity: 1776
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,41,38)\)
- Multiplicity: 28161
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,50)\)
- Multiplicity: 603
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,45)\)
- Multiplicity: 86
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,54,36)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,40,31)\)
- Multiplicity: 102
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,34,38)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,48,43)\)
- Multiplicity: 2375
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,50)\)
- Multiplicity: 1885
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,36)\)
- Multiplicity: 10643
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,53,29)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,41,43)\)
- Multiplicity: 34509
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,28,50)\)
- Multiplicity: 86
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,48,48)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,40,36)\)
- Multiplicity: 10643
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,46,29)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,34,43)\)
- Multiplicity: 8408
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,41,48)\)
- Multiplicity: 4821
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,33,36)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,53,34)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,47,41)\)
- Multiplicity: 8825
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,27,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,34,48)\)
- Multiplicity: 4821
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,46,34)\)
- Multiplicity: 8408
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,52,27)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,40,41)\)
- Multiplicity: 38914
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,37)\)
- Multiplicity: 236
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,54,35)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,40,30)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,42)\)
- Multiplicity: 3535
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,44)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,49)\)
- Multiplicity: 3650
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,35)\)
- Multiplicity: 8825
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,53,28)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,42)\)
- Multiplicity: 38914
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,28,49)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,47)\)
- Multiplicity: 158
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,35)\)
- Multiplicity: 6057
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,28)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,42)\)
- Multiplicity: 6759
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,35,54)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,47)\)
- Multiplicity: 8825
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,33)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,40)\)
- Multiplicity: 10643
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,47)\)
- Multiplicity: 6759
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,33)\)
- Multiplicity: 5657
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,52,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,40)\)
- Multiplicity: 35846
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,52)\)
- Multiplicity: 62
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,47)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,45)\)
- Multiplicity: 1776
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,33)\)
- Multiplicity: 576
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,45,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,38)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,40)\)
- Multiplicity: 1268
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,52)\)
- Multiplicity: 236
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,45)\)
- Multiplicity: 23567
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,31)\)
- Multiplicity: 102
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,38)\)
- Multiplicity: 17945
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,52)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,47,50)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,45)\)
- Multiplicity: 5990
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,31)\)
- Multiplicity: 1776
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,38)\)
- Multiplicity: 17945
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,53,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{19,\lambda}(2,3;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{19,1}(2,3;6)\). 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 \(\beta_{19,\textbf{a}}(2,3;6)\). 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!