Current Betti Table Entry:
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25 |
0 |
(5,0,0) |
(10,1,0) |
(15,1,1) |
(19,3,1) |
(23,4,2) |
(27,4,4) |
(30,7,4) |
(33,9,5) |
(36,10,7) |
(39,10,10) |
(41,14,10) |
(43,17,11) |
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(54,45,32) |
(55,45,37) |
(55,49,39) |
(55,52,42) |
(55,54,46) |
(55,55,51) |
2 |
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5 |
26 |
46 |
67 |
85 |
104 |
123 |
137 |
152 |
160 |
166 |
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78 |
60 |
41 |
22 |
4 |
1 |
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\(\lambda=(47,45,39)\)
- Multiplicity: 52
- Dimension: 105
- Dominant: No
\(\lambda=(49,41,41)\)
- Multiplicity: 18
- Dimension: 45
- Dominant: No
\(\lambda=(52,43,36)\)
- Multiplicity: 23
- Dimension: 720
- Dominant: No
\(\lambda=(54,39,38)\)
- Multiplicity: 1
- Dimension: 288
- Dominant: No
\(\lambda=(50,47,34)\)
- Multiplicity: 21
- Dimension: 504
- Dominant: No
\(\lambda=(47,44,40)\)
- Multiplicity: 48
- Dimension: 90
- Dominant: No
\(\lambda=(53,48,30)\)
- Multiplicity: 1
- Dimension: 1425
- Dominant: Yes
\(\lambda=(52,42,37)\)
- Multiplicity: 22
- Dimension: 561
- Dominant: No
\(\lambda=(50,46,35)\)
- Multiplicity: 32
- Dimension: 510
- Dominant: No
\(\lambda=(47,43,41)\)
- Multiplicity: 41
- Dimension: 60
- Dominant: No
\(\lambda=(53,47,31)\)
- Multiplicity: 2
- Dimension: 1428
- Dominant: No
\(\lambda=(52,41,38)\)
- Multiplicity: 18
- Dimension: 384
- Dominant: No
\(\lambda=(51,51,29)\)
- Multiplicity: 1
- Dimension: 276
- Dominant: Yes
\(\lambda=(50,45,36)\)
- Multiplicity: 46
- Dimension: 480
- Dominant: No
\(\lambda=(47,42,42)\)
- Multiplicity: 13
- Dimension: 21
- Dominant: No
\(\lambda=(48,48,35)\)
- Multiplicity: 9
- Dimension: 105
- Dominant: No
\(\lambda=(53,46,32)\)
- Multiplicity: 3
- Dimension: 1380
- Dominant: No
\(\lambda=(52,40,39)\)
- Multiplicity: 10
- Dimension: 195
- Dominant: No
\(\lambda=(51,50,30)\)
- Multiplicity: 1
- Dimension: 483
- Dominant: No
\(\lambda=(50,44,37)\)
- Multiplicity: 52
- Dimension: 420
- Dominant: No
\(\lambda=(45,45,41)\)
- Multiplicity: 15
- Dimension: 15
- Dominant: No
\(\lambda=(48,47,36)\)
- Multiplicity: 26
- Dimension: 168
- Dominant: No
\(\lambda=(53,45,33)\)
- Multiplicity: 6
- Dimension: 1287
- Dominant: No
\(\lambda=(51,49,31)\)
- Multiplicity: 4
- Dimension: 627
- Dominant: No
\(\lambda=(50,43,38)\)
- Multiplicity: 53
- Dimension: 336
- Dominant: No
\(\lambda=(45,44,42)\)
- Multiplicity: 13
- Dimension: 15
- Dominant: No
\(\lambda=(48,46,37)\)
- Multiplicity: 42
- Dimension: 195
- Dominant: No
\(\lambda=(53,44,34)\)
- Multiplicity: 8
- Dimension: 1155
- Dominant: No
\(\lambda=(51,48,32)\)
- Multiplicity: 8
- Dimension: 714
- Dominant: No
\(\lambda=(50,42,39)\)
- Multiplicity: 43
- Dimension: 234
- Dominant: No
\(\lambda=(45,43,43)\)
- Multiplicity: 7
- Dimension: 6
- Dominant: No
\(\lambda=(48,45,38)\)
- Multiplicity: 59
- Dimension: 192
- Dominant: No
\(\lambda=(53,43,35)\)
- Multiplicity: 10
- Dimension: 990
- Dominant: No
\(\lambda=(51,47,33)\)
- Multiplicity: 15
- Dimension: 750
- Dominant: No
\(\lambda=(50,41,40)\)
- Multiplicity: 24
- Dimension: 120
- Dominant: No
\(\lambda=(48,44,39)\)
- Multiplicity: 61
- Dimension: 165
- Dominant: No
\(\lambda=(53,42,36)\)
- Multiplicity: 10
- Dimension: 798
- Dominant: No
\(\lambda=(51,46,34)\)
- Multiplicity: 22
- Dimension: 741
- Dominant: No
\(\lambda=(48,43,40)\)
- Multiplicity: 53
- Dimension: 120
- Dominant: No
\(\lambda=(49,49,33)\)
- Multiplicity: 6
- Dimension: 153
- Dominant: No
\(\lambda=(53,41,37)\)
- Multiplicity: 10
- Dimension: 585
- Dominant: No
\(\lambda=(51,45,35)\)
- Multiplicity: 33
- Dimension: 693
- Dominant: No
\(\lambda=(46,46,39)\)
- Multiplicity: 16
- Dimension: 36
- Dominant: No
\(\lambda=(48,42,41)\)
- Multiplicity: 31
- Dimension: 63
- Dominant: No
\(\lambda=(49,48,34)\)
- Multiplicity: 14
- Dimension: 255
- Dominant: No
\(\lambda=(53,40,38)\)
- Multiplicity: 6
- Dimension: 357
- Dominant: No
\(\lambda=(51,44,36)\)
- Multiplicity: 37
- Dimension: 612
- Dominant: No
\(\lambda=(46,45,40)\)
- Multiplicity: 31
- Dimension: 48
- Dominant: No
\(\lambda=(49,47,35)\)
- Multiplicity: 29
- Dimension: 312
- Dominant: No
\(\lambda=(52,49,30)\)
- Multiplicity: 1
- Dimension: 960
- Dominant: No
\(\lambda=(53,39,39)\)
- Multiplicity: 3
- Dimension: 120
- Dominant: No
\(\lambda=(54,45,32)\)
- Multiplicity: 1
- Dimension: 1680
- Dominant: Yes
\(\lambda=(51,43,37)\)
- Multiplicity: 42
- Dimension: 504
- Dominant: No
\(\lambda=(46,44,41)\)
- Multiplicity: 30
- Dimension: 42
- Dominant: No
\(\lambda=(49,46,36)\)
- Multiplicity: 42
- Dimension: 330
- Dominant: No
\(\lambda=(52,48,31)\)
- Multiplicity: 3
- Dimension: 1035
- Dominant: No
\(\lambda=(54,44,33)\)
- Multiplicity: 1
- Dimension: 1518
- Dominant: No
\(\lambda=(51,42,38)\)
- Multiplicity: 35
- Dimension: 375
- Dominant: No
\(\lambda=(46,43,42)\)
- Multiplicity: 20
- Dimension: 24
- Dominant: No
\(\lambda=(49,45,37)\)
- Multiplicity: 60
- Dimension: 315
- Dominant: No
\(\lambda=(52,47,32)\)
- Multiplicity: 6
- Dimension: 1056
- Dominant: No
\(\lambda=(54,43,34)\)
- Multiplicity: 2
- Dimension: 1320
- Dominant: No
\(\lambda=(51,41,39)\)
- Multiplicity: 27
- Dimension: 231
- Dominant: No
\(\lambda=(49,44,38)\)
- Multiplicity: 62
- Dimension: 273
- Dominant: No
\(\lambda=(52,46,33)\)
- Multiplicity: 10
- Dimension: 1029
- Dominant: No
\(\lambda=(54,42,35)\)
- Multiplicity: 2
- Dimension: 1092
- Dominant: No
\(\lambda=(51,40,40)\)
- Multiplicity: 7
- Dimension: 78
- Dominant: No
\(\lambda=(47,47,37)\)
- Multiplicity: 19
- Dimension: 66
- Dominant: No
\(\lambda=(49,43,39)\)
- Multiplicity: 62
- Dimension: 210
- Dominant: No
\(\lambda=(52,45,34)\)
- Multiplicity: 16
- Dimension: 960
- Dominant: No
\(\lambda=(54,41,36)\)
- Multiplicity: 2
- Dimension: 840
- Dominant: No
\(\lambda=(50,49,32)\)
- Multiplicity: 4
- Dimension: 360
- Dominant: No
\(\lambda=(44,44,43)\)
- Multiplicity: 2
- Dimension: 3
- Dominant: No
\(\lambda=(47,46,38)\)
- Multiplicity: 34
- Dimension: 99
- Dominant: No
\(\lambda=(49,42,40)\)
- Multiplicity: 40
- Dimension: 132
- Dominant: No
\(\lambda=(52,44,35)\)
- Multiplicity: 20
- Dimension: 855
- Dominant: No
\(\lambda=(54,40,37)\)
- Multiplicity: 2
- Dimension: 570
- Dominant: No
\(\lambda=(50,48,33)\)
- Multiplicity: 10
- Dimension: 456
- Dominant: No
\(\textbf{a}=(45,33,53)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,39)\)
- Multiplicity: 3383
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,51,32)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,46)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,38,39)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,44)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,46)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,51)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,37)\)
- Multiplicity: 491
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,44)\)
- Multiplicity: 6720
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,51)\)
- Multiplicity: 678
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,50,30)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,37)\)
- Multiplicity: 854
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,44)\)
- Multiplicity: 1667
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,49)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,51)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,42)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,49)\)
- Multiplicity: 1249
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,42)\)
- Multiplicity: 6720
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,35)\)
- Multiplicity: 394
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,49)\)
- Multiplicity: 1667
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,54)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,42)\)
- Multiplicity: 215
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,43,35)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,47)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,49)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,54)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,40)\)
- Multiplicity: 1389
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,47)\)
- Multiplicity: 4175
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,40)\)
- Multiplicity: 3310
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,49,33)\)
- Multiplicity: 130
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,47)\)
- Multiplicity: 1662
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,52)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,45)\)
- Multiplicity: 611
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,52)\)
- Multiplicity: 215
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,38)\)
- Multiplicity: 1667
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,45)\)
- Multiplicity: 7033
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,48,31)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,38)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,45)\)
- Multiplicity: 611
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,50)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,52)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,43)\)
- Multiplicity: 2050
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,50)\)
- Multiplicity: 1092
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,43)\)
- Multiplicity: 6069
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,36)\)
- Multiplicity: 988
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,50)\)
- Multiplicity: 611
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,43)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,41,36)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,48)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,41)\)
- Multiplicity: 3592
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,54,34)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,48)\)
- Multiplicity: 3592
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,41)\)
- Multiplicity: 2407
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,47,34)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,48)\)
- Multiplicity: 563
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,53)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,54,39)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,48,46)\)
- Multiplicity: 1544
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,53)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,47,39)\)
- Multiplicity: 3383
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,53,32)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,41,46)\)
- Multiplicity: 5567
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,40,39)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,46,32)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,54,44)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,34,46)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,48,51)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,53,37)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,44)\)
- Multiplicity: 4175
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,41,51)\)
- Multiplicity: 678
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,52,30)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,46,37)\)
- Multiplicity: 1544
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,40,44)\)
- Multiplicity: 4175
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,34,51)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,53,42)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,33,44)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,47,49)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,46,42)\)
- Multiplicity: 6069
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,52,35)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,40,49)\)
- Multiplicity: 2308
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,39,42)\)
- Multiplicity: 1283
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,45,35)\)
- Multiplicity: 251
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,53,47)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,33,49)\)
- Multiplicity: 130
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,40,54)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,52,40)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,46,47)\)
- Multiplicity: 2486
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,33,54)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,45,40)\)
- Multiplicity: 4680
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,51,33)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,39,47)\)
- Multiplicity: 3383
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,46,52)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,38,40)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,44,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,52,45)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,32,47)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,39,52)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,51,38)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,45,45)\)
- Multiplicity: 5886
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,32,52)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,50,31)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,44,38)\)
- Multiplicity: 1667
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,38,45)\)
- Multiplicity: 2183
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,51,43)\)
- Multiplicity: 491
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,45,50)\)
- Multiplicity: 611
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,44,43)\)
- Multiplicity: 7367
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,50,36)\)
- Multiplicity: 611
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,38,50)\)
- Multiplicity: 1092
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,37,43)\)
- Multiplicity: 491
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,43,36)\)
- Multiplicity: 167
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,51,48)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,31,50)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,50,41)\)
- Multiplicity: 1389
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,44,48)\)
- Multiplicity: 2807
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,43,41)\)
- Multiplicity: 4743
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,49,34)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,37,48)\)
- Multiplicity: 1544
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,44,53)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,36,41)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,50,46)\)
- Multiplicity: 394
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,30,48)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,37,53)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,49,39)\)
- Multiplicity: 2050
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,43,46)\)
- Multiplicity: 6069
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,30,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,42,39)\)
- Multiplicity: 1283
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,48,32)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,48)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,50)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,41)\)
- Multiplicity: 678
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,48)\)
- Multiplicity: 2183
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,41)\)
- Multiplicity: 5567
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,50,34)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,48)\)
- Multiplicity: 2183
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,53)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,41)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,43,34)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,46)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,48)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,53)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,39)\)
- Multiplicity: 1283
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,46)\)
- Multiplicity: 5567
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,53)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,39)\)
- Multiplicity: 2050
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,49,32)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,46)\)
- Multiplicity: 1544
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,44)\)
- Multiplicity: 854
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,51)\)
- Multiplicity: 366
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,37)\)
- Multiplicity: 1249
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,44)\)
- Multiplicity: 7367
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,51)\)
- Multiplicity: 491
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,48,30)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,42,37)\)
- Multiplicity: 215
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,44)\)
- Multiplicity: 366
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,49)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,51)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,42)\)
- Multiplicity: 2308
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,49)\)
- Multiplicity: 2050
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,42)\)
- Multiplicity: 4939
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,48,35)\)
- Multiplicity: 563
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,49)\)
- Multiplicity: 844
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,54)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,35,42)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,47)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,54)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,40)\)
- Multiplicity: 3310
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,54,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,47)\)
- Multiplicity: 4939
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,52)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,40)\)
- Multiplicity: 1389
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,47,33)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,47)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,52)\)
- Multiplicity: 215
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,54,38)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,45)\)
- Multiplicity: 2183
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,52)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,38)\)
- Multiplicity: 2486
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,53,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,45)\)
- Multiplicity: 5886
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,40,38)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,54,43)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,45)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,50)\)
- Multiplicity: 115
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,53,36)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,43)\)
- Multiplicity: 4743
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,50)\)
- Multiplicity: 1389
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,43)\)
- Multiplicity: 3310
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,36)\)
- Multiplicity: 844
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,50)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,41)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,48)\)
- Multiplicity: 988
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,41)\)
- Multiplicity: 5567
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,52,34)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,48)\)
- Multiplicity: 3310
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,53)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,41)\)
- Multiplicity: 678
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,45,34)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,46)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,48)\)
- Multiplicity: 115
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,53)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,39)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,46)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{20,\lambda}(2,5;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{20,1}(2,5;6)\). 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 \(\beta_{20,\textbf{a}}(2,5;6)\). 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!