Current Betti Table Entry:
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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) |
· |
· |
· |
· |
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· |
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· |
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| 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) |
\(\lambda=(44,43,42)\)
- Multiplicity: 13
- Dimension: 8
- Dominant: No
\(\lambda=(47,45,37)\)
- Multiplicity: 76
- Dimension: 162
- Dominant: No
\(\lambda=(49,41,39)\)
- Multiplicity: 66
- Dimension: 162
- Dominant: No
\(\lambda=(52,43,34)\)
- Multiplicity: 28
- Dimension: 1000
- Dominant: No
\(\lambda=(54,39,36)\)
- Multiplicity: 3
- Dimension: 640
- Dominant: No
\(\lambda=(50,47,32)\)
- Multiplicity: 18
- Dimension: 640
- Dominant: No
\(\lambda=(47,44,38)\)
- Multiplicity: 88
- Dimension: 154
- Dominant: No
\(\lambda=(49,40,40)\)
- Multiplicity: 19
- Dimension: 55
- Dominant: No
\(\lambda=(54,38,37)\)
- Multiplicity: 2
- Dimension: 323
- Dominant: No
\(\lambda=(52,42,35)\)
- Multiplicity: 33
- Dimension: 836
- Dominant: No
\(\lambda=(50,46,33)\)
- Multiplicity: 33
- Dimension: 665
- Dominant: No
\(\lambda=(47,43,39)\)
- Multiplicity: 92
- Dimension: 125
- Dominant: No
\(\lambda=(53,47,29)\)
- Multiplicity: 1
- Dimension: 1729
- Dominant: Yes
\(\lambda=(52,41,36)\)
- Multiplicity: 32
- Dimension: 648
- Dominant: No
\(\lambda=(50,45,34)\)
- Multiplicity: 51
- Dimension: 648
- Dominant: No
\(\lambda=(47,42,40)\)
- Multiplicity: 63
- Dimension: 81
- Dominant: No
\(\lambda=(48,48,33)\)
- Multiplicity: 9
- Dimension: 136
- Dominant: No
\(\lambda=(53,46,30)\)
- Multiplicity: 2
- Dimension: 1700
- Dominant: No
\(\lambda=(52,40,37)\)
- Multiplicity: 25
- Dimension: 442
- Dominant: No
\(\lambda=(51,50,28)\)
- Multiplicity: 1
- Dimension: 575
- Dominant: Yes
\(\lambda=(50,44,35)\)
- Multiplicity: 67
- Dimension: 595
- Dominant: No
\(\lambda=(45,45,39)\)
- Multiplicity: 27
- Dimension: 28
- Dominant: No
\(\lambda=(47,41,41)\)
- Multiplicity: 25
- Dimension: 28
- Dominant: No
\(\lambda=(48,47,34)\)
- Multiplicity: 29
- Dimension: 224
- Dominant: No
\(\lambda=(53,45,31)\)
- Multiplicity: 5
- Dimension: 1620
- Dominant: No
\(\lambda=(52,39,38)\)
- Multiplicity: 15
- Dimension: 224
- Dominant: No
\(\lambda=(51,49,29)\)
- Multiplicity: 2
- Dimension: 756
- Dominant: No
\(\lambda=(50,43,36)\)
- Multiplicity: 79
- Dimension: 512
- Dominant: No
\(\lambda=(45,44,40)\)
- Multiplicity: 38
- Dimension: 35
- Dominant: No
\(\lambda=(48,46,35)\)
- Multiplicity: 52
- Dimension: 270
- Dominant: No
\(\lambda=(53,44,32)\)
- Multiplicity: 7
- Dimension: 1495
- Dominant: No
\(\lambda=(51,48,30)\)
- Multiplicity: 5
- Dimension: 874
- Dominant: No
\(\lambda=(50,42,37)\)
- Multiplicity: 77
- Dimension: 405
- Dominant: No
\(\lambda=(45,43,41)\)
- Multiplicity: 36
- Dimension: 27
- Dominant: No
\(\lambda=(48,45,36)\)
- Multiplicity: 79
- Dimension: 280
- Dominant: No
\(\lambda=(50,41,38)\)
- Multiplicity: 62
- Dimension: 280
- Dominant: No
\(\lambda=(53,43,33)\)
- Multiplicity: 12
- Dimension: 1331
- Dominant: No
\(\lambda=(55,39,35)\)
- Multiplicity: 1
- Dimension: 935
- Dominant: Yes
\(\lambda=(51,47,31)\)
- Multiplicity: 12
- Dimension: 935
- Dominant: No
\(\lambda=(45,42,42)\)
- Multiplicity: 11
- Dimension: 10
- Dominant: No
\(\lambda=(48,44,37)\)
- Multiplicity: 98
- Dimension: 260
- Dominant: No
\(\lambda=(50,40,39)\)
- Multiplicity: 36
- Dimension: 143
- Dominant: No
\(\lambda=(53,42,34)\)
- Multiplicity: 13
- Dimension: 1134
- Dominant: No
\(\lambda=(51,46,32)\)
- Multiplicity: 20
- Dimension: 945
- Dominant: No
\(\lambda=(48,43,38)\)
- Multiplicity: 102
- Dimension: 216
- Dominant: No
\(\lambda=(49,49,31)\)
- Multiplicity: 4
- Dimension: 190
- Dominant: No
\(\lambda=(53,41,35)\)
- Multiplicity: 16
- Dimension: 910
- Dominant: No
\(\lambda=(51,45,33)\)
- Multiplicity: 32
- Dimension: 910
- Dominant: No
\(\lambda=(46,46,37)\)
- Multiplicity: 24
- Dimension: 55
- Dominant: No
\(\lambda=(48,42,39)\)
- Multiplicity: 84
- Dimension: 154
- Dominant: No
\(\lambda=(49,48,32)\)
- Multiplicity: 12
- Dimension: 323
- Dominant: No
\(\lambda=(53,40,36)\)
- Multiplicity: 13
- Dimension: 665
- Dominant: No
\(\lambda=(51,44,34)\)
- Multiplicity: 44
- Dimension: 836
- Dominant: No
\(\lambda=(43,43,43)\)
- Multiplicity: 1
- Dimension: 1
- Dominant: No
\(\lambda=(46,45,38)\)
- Multiplicity: 54
- Dimension: 80
- Dominant: No
\(\lambda=(48,41,40)\)
- Multiplicity: 49
- Dimension: 80
- Dominant: No
\(\lambda=(49,47,33)\)
- Multiplicity: 28
- Dimension: 405
- Dominant: No
\(\lambda=(53,39,37)\)
- Multiplicity: 11
- Dimension: 405
- Dominant: No
\(\lambda=(51,43,35)\)
- Multiplicity: 55
- Dimension: 729
- Dominant: No
\(\lambda=(46,44,39)\)
- Multiplicity: 66
- Dimension: 81
- Dominant: No
\(\lambda=(49,46,34)\)
- Multiplicity: 46
- Dimension: 442
- Dominant: No
\(\lambda=(52,48,29)\)
- Multiplicity: 2
- Dimension: 1250
- Dominant: No
\(\lambda=(53,38,38)\)
- Multiplicity: 2
- Dimension: 136
- Dominant: No
\(\lambda=(54,44,31)\)
- Multiplicity: 1
- Dimension: 1925
- Dominant: Yes
\(\lambda=(51,42,36)\)
- Multiplicity: 55
- Dimension: 595
- Dominant: No
\(\lambda=(46,43,40)\)
- Multiplicity: 61
- Dimension: 64
- Dominant: No
\(\lambda=(49,45,35)\)
- Multiplicity: 73
- Dimension: 440
- Dominant: No
\(\lambda=(52,47,30)\)
- Multiplicity: 4
- Dimension: 1296
- Dominant: No
\(\lambda=(54,43,32)\)
- Multiplicity: 2
- Dimension: 1728
- Dominant: No
\(\lambda=(51,41,37)\)
- Multiplicity: 53
- Dimension: 440
- Dominant: No
\(\lambda=(46,42,41)\)
- Multiplicity: 38
- Dimension: 35
- Dominant: No
\(\lambda=(49,44,36)\)
- Multiplicity: 88
- Dimension: 405
- Dominant: No
\(\lambda=(52,46,31)\)
- Multiplicity: 8
- Dimension: 1288
- Dominant: No
\(\lambda=(54,42,33)\)
- Multiplicity: 3
- Dimension: 1495
- Dominant: No
\(\lambda=(51,40,38)\)
- Multiplicity: 34
- Dimension: 270
- Dominant: No
\(\lambda=(47,47,35)\)
- Multiplicity: 21
- Dimension: 91
- Dominant: No
\(\lambda=(49,43,37)\)
- Multiplicity: 100
- Dimension: 343
- Dominant: No
\(\lambda=(52,45,32)\)
- Multiplicity: 15
- Dimension: 1232
- Dominant: No
\(\lambda=(54,41,34)\)
- Multiplicity: 4
- Dimension: 1232
- Dominant: No
\(\lambda=(51,39,39)\)
- Multiplicity: 14
- Dimension: 91
- Dominant: No
\(\lambda=(50,49,30)\)
- Multiplicity: 3
- Dimension: 440
- Dominant: No
\(\lambda=(44,44,41)\)
- Multiplicity: 11
- Dimension: 10
- Dominant: No
\(\lambda=(47,46,36)\)
- Multiplicity: 47
- Dimension: 143
- Dominant: No
\(\lambda=(49,42,38)\)
- Multiplicity: 88
- Dimension: 260
- Dominant: No
\(\lambda=(52,44,33)\)
- Multiplicity: 22
- Dimension: 1134
- Dominant: No
\(\lambda=(54,40,35)\)
- Multiplicity: 4
- Dimension: 945
- Dominant: No
\(\lambda=(50,48,31)\)
- Multiplicity: 8
- Dimension: 567
- Dominant: No
\(\textbf{a}=(45,33,51)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,37)\)
- Multiplicity: 3992
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,51,30)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,44)\)
- Multiplicity: 7641
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,49)\)
- Multiplicity: 778
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,38,37)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,42)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,44)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,35)\)
- Multiplicity: 519
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,42)\)
- Multiplicity: 11725
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,49)\)
- Multiplicity: 3404
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,50,28)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,35)\)
- Multiplicity: 882
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,42)\)
- Multiplicity: 3015
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,47)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,49)\)
- Multiplicity: 205
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,54)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,40)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,47)\)
- Multiplicity: 3992
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,40)\)
- Multiplicity: 9932
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,33)\)
- Multiplicity: 331
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,47)\)
- Multiplicity: 5331
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,52)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,40)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,43,33)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,45)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,47)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,52)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,38)\)
- Multiplicity: 1857
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,45)\)
- Multiplicity: 9932
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,52)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,38)\)
- Multiplicity: 4264
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,49,31)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,45)\)
- Multiplicity: 3992
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,50)\)
- Multiplicity: 882
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,36,38)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,43)\)
- Multiplicity: 1235
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,50)\)
- Multiplicity: 1580
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,36)\)
- Multiplicity: 1848
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,43)\)
- Multiplicity: 13416
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,50)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,48,29)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,36)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,43)\)
- Multiplicity: 1235
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,48)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,41)\)
- Multiplicity: 3404
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,48)\)
- Multiplicity: 4264
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,41)\)
- Multiplicity: 9762
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,34)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,48)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,53)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,41)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,55,39)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,41,34)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,46)\)
- Multiplicity: 778
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,48)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,53)\)
- Multiplicity: 102
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,39)\)
- Multiplicity: 5006
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,54,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,46)\)
- Multiplicity: 9762
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,39)\)
- Multiplicity: 3404
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,47,32)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,46)\)
- Multiplicity: 1555
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,51)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,54,37)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,44)\)
- Multiplicity: 3340
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,51)\)
- Multiplicity: 519
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,47,37)\)
- Multiplicity: 3992
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,53,30)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,41,44)\)
- Multiplicity: 11790
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,48,49)\)
- Multiplicity: 205
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,40,37)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,46,30)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,54,42)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,34,44)\)
- Multiplicity: 348
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,53,35)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,42)\)
- Multiplicity: 7372
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,41,49)\)
- Multiplicity: 3404
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,46,35)\)
- Multiplicity: 1555
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,40,42)\)
- Multiplicity: 7372
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,34,49)\)
- Multiplicity: 778
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,41,54)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,53,40)\)
- Multiplicity: 102
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,39,35)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,33,42)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,47,47)\)
- Multiplicity: 1668
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,34,54)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,46,40)\)
- Multiplicity: 9001
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,52,33)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,40,47)\)
- Multiplicity: 7372
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,47,52)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,39,40)\)
- Multiplicity: 2013
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,45,33)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,53,45)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,33,47)\)
- Multiplicity: 430
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,40,52)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,52,38)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,46,45)\)
- Multiplicity: 5948
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,33,52)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,45,38)\)
- Multiplicity: 5948
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,51,31)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,39,45)\)
- Multiplicity: 8053
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,46,50)\)
- Multiplicity: 331
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,38,38)\)
- Multiplicity: 123
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,44,31)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,52,43)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,32,45)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,39,50)\)
- Multiplicity: 2013
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,51,36)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,45,43)\)
- Multiplicity: 11260
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,32,50)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,50,29)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,44,36)\)
- Multiplicity: 1848
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,38,43)\)
- Multiplicity: 4264
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,52,48)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,39,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,51,41)\)
- Multiplicity: 860
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,45,48)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,50,34)\)
- Multiplicity: 570
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,44,41)\)
- Multiplicity: 11790
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,38,48)\)
- Multiplicity: 4264
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,45,53)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,37,41)\)
- Multiplicity: 860
- Dimension: 1
- Error: 0
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- Multiplicity: 860
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,47,30)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,35,44)\)
- Multiplicity: 882
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,54,35)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,48,42)\)
- Multiplicity: 5006
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,42,49)\)
- Multiplicity: 3015
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,47,35)\)
- Multiplicity: 1668
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,41,42)\)
- Multiplicity: 9762
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,49)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,54)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,54,40)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,40,35)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,34,42)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,48,47)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,54)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,47,40)\)
- Multiplicity: 7372
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,53,33)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,41,47)\)
- Multiplicity: 7679
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,48,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,40,40)\)
- Multiplicity: 3535
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,46,33)\)
- Multiplicity: 331
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,34,47)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,41,52)\)
- Multiplicity: 312
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,53,38)\)
- Multiplicity: 123
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,45)\)
- Multiplicity: 3992
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,34,52)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,46,38)\)
- Multiplicity: 5948
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,52,31)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,45)\)
- Multiplicity: 9932
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,50)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,39,38)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,45,31)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,53,43)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,33,45)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,50)\)
- Multiplicity: 2013
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,52,36)\)
- Multiplicity: 312
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,46,43)\)
- Multiplicity: 9001
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,50)\)
- Multiplicity: 331
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,51,29)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,36)\)
- Multiplicity: 2392
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,43)\)
- Multiplicity: 6543
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,38,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,41)\)
- Multiplicity: 312
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,32,43)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,48)\)
- Multiplicity: 1555
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,51,34)\)
- Multiplicity: 348
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,41)\)
- Multiplicity: 11260
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,48)\)
- Multiplicity: 5006
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,53)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,41)\)
- Multiplicity: 1857
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,44,34)\)
- Multiplicity: 348
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,46)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,48)\)
- Multiplicity: 205
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,53)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,39)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,46)\)
- Multiplicity: 5948
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,53)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,39)\)
- Multiplicity: 7641
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,50,32)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,46)\)
- Multiplicity: 5948
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,51)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,39)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,43,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,44)\)
- Multiplicity: 348
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,46)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,51)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,37)\)
- Multiplicity: 1580
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,44)\)
- Multiplicity: 11790
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,51)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,49)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,37)\)
- Multiplicity: 2469
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,49,30)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,44)\)
- Multiplicity: 3340
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,42)\)
- Multiplicity: 1580
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,49)\)
- Multiplicity: 1848
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,35)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,42)\)
- Multiplicity: 12835
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,49)\)
- Multiplicity: 2469
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,42,35)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,42)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,47)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,49)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,54)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,40)\)
- Multiplicity: 3535
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,47)\)
- Multiplicity: 6543
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,40)\)
- Multiplicity: 7372
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,48,33)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,47)\)
- Multiplicity: 2713
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,52)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,35,40)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,55,38)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,45)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,47)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,52)\)
- Multiplicity: 312
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,38)\)
- Multiplicity: 4264
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,54,31)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,45)\)
- Multiplicity: 11725
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,50)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,38)\)
- Multiplicity: 1857
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,47,31)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,45)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,50)\)
- Multiplicity: 1580
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,54,36)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,43)\)
- Multiplicity: 4264
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,50)\)
- Multiplicity: 882
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,53,29)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,36)\)
- Multiplicity: 2713
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,43)\)
- Multiplicity: 11260
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,40,36)\)
- Multiplicity: 102
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,54,41)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,43)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,48)\)
- Multiplicity: 466
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,53,34)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,41)\)
- Multiplicity: 7679
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,48)\)
- Multiplicity: 5419
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,41)\)
- Multiplicity: 5419
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,34)\)
- Multiplicity: 778
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,48)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,53)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,39)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,46)\)
- Multiplicity: 2713
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,53)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,39)\)
- Multiplicity: 7641
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,52,32)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,46)\)
- Multiplicity: 9001
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,51)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,39)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,45,32)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,44)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,46)\)
- Multiplicity: 331
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,51)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,37)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,44)\)
- Multiplicity: 7641
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{20,\lambda}(2,3;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{20,1}(2,3;6)\). 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 \(\beta_{20,\textbf{a}}(2,3;6)\). 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!