Current Betti Table Entry:
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| 0 |
(5,0,0) |
(11,1,0) |
(17,1,1) |
(22,3,1) |
(27,4,2) |
(32,4,4) |
(36,7,4) |
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(75,47,30) |
(77,47,35) |
(78,52,36) |
(79,56,38) |
(80,59,41) |
(81,61,45) |
(82,62,50) |
(83,62,56) |
(83,68,57) |
(83,73,59) |
(83,77,62) |
(83,80,66) |
(83,82,71) |
(83,83,77) |
| 2 |
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| 0 |
1 |
5 |
32 |
59 |
89 |
118 |
149 |
? |
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344 |
327 |
305 |
280 |
254 |
224 |
193 |
158 |
128 |
95 |
66 |
36 |
6 |
1 |
| 2 |
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\(\lambda=(74,73,68)\)
- Multiplicity: 26
- Dimension: 48
- Dominant: No
\(\lambda=(77,75,63)\)
- Multiplicity: 39
- Dimension: 312
- Dominant: No
\(\lambda=(79,71,65)\)
- Multiplicity: 59
- Dimension: 504
- Dominant: No
\(\lambda=(82,73,60)\)
- Multiplicity: 9
- Dimension: 1680
- Dominant: No
\(\lambda=(81,67,67)\)
- Multiplicity: 7
- Dimension: 120
- Dominant: No
\(\lambda=(80,77,58)\)
- Multiplicity: 8
- Dimension: 960
- Dominant: No
\(\lambda=(74,72,69)\)
- Multiplicity: 25
- Dimension: 42
- Dominant: No
\(\lambda=(77,74,64)\)
- Multiplicity: 53
- Dimension: 330
- Dominant: No
\(\lambda=(79,70,66)\)
- Multiplicity: 47
- Dimension: 375
- Dominant: No
\(\lambda=(82,72,61)\)
- Multiplicity: 11
- Dimension: 1518
- Dominant: No
\(\lambda=(80,76,59)\)
- Multiplicity: 13
- Dimension: 1035
- Dominant: No
\(\lambda=(74,71,70)\)
- Multiplicity: 16
- Dimension: 24
- Dominant: No
\(\lambda=(77,73,65)\)
- Multiplicity: 68
- Dimension: 315
- Dominant: No
\(\lambda=(79,69,67)\)
- Multiplicity: 35
- Dimension: 231
- Dominant: No
\(\lambda=(82,71,62)\)
- Multiplicity: 13
- Dimension: 1320
- Dominant: No
\(\lambda=(80,75,60)\)
- Multiplicity: 21
- Dimension: 1056
- Dominant: No
\(\lambda=(77,72,66)\)
- Multiplicity: 66
- Dimension: 273
- Dominant: No
\(\lambda=(78,78,59)\)
- Multiplicity: 2
- Dimension: 210
- Dominant: No
\(\lambda=(79,68,68)\)
- Multiplicity: 10
- Dimension: 78
- Dominant: No
\(\lambda=(82,70,63)\)
- Multiplicity: 13
- Dimension: 1092
- Dominant: No
\(\lambda=(80,74,61)\)
- Multiplicity: 29
- Dimension: 1029
- Dominant: No
\(\lambda=(75,75,65)\)
- Multiplicity: 19
- Dimension: 66
- Dominant: No
\(\lambda=(77,71,67)\)
- Multiplicity: 64
- Dimension: 210
- Dominant: No
\(\lambda=(78,77,60)\)
- Multiplicity: 11
- Dimension: 360
- Dominant: No
\(\lambda=(81,79,55)\)
- Multiplicity: 1
- Dimension: 1050
- Dominant: Yes
\(\lambda=(82,69,64)\)
- Multiplicity: 12
- Dimension: 840
- Dominant: No
\(\lambda=(80,73,62)\)
- Multiplicity: 38
- Dimension: 960
- Dominant: No
\(\lambda=(72,72,71)\)
- Multiplicity: 2
- Dimension: 3
- Dominant: No
\(\lambda=(75,74,66)\)
- Multiplicity: 34
- Dimension: 99
- Dominant: No
\(\lambda=(77,70,68)\)
- Multiplicity: 40
- Dimension: 132
- Dominant: No
\(\lambda=(78,76,61)\)
- Multiplicity: 21
- Dimension: 456
- Dominant: No
\(\lambda=(81,78,56)\)
- Multiplicity: 1
- Dimension: 1242
- Dominant: No
\(\lambda=(82,68,65)\)
- Multiplicity: 9
- Dimension: 570
- Dominant: No
\(\lambda=(80,72,63)\)
- Multiplicity: 42
- Dimension: 855
- Dominant: No
\(\lambda=(75,73,67)\)
- Multiplicity: 46
- Dimension: 105
- Dominant: No
\(\lambda=(77,69,69)\)
- Multiplicity: 17
- Dimension: 45
- Dominant: No
\(\lambda=(78,75,62)\)
- Multiplicity: 36
- Dimension: 504
- Dominant: No
\(\lambda=(81,77,57)\)
- Multiplicity: 4
- Dimension: 1365
- Dominant: No
\(\lambda=(82,67,66)\)
- Multiplicity: 5
- Dimension: 288
- Dominant: No
\(\lambda=(83,73,59)\)
- Multiplicity: 1
- Dimension: 2145
- Dominant: Yes
\(\lambda=(80,71,64)\)
- Multiplicity: 45
- Dimension: 720
- Dominant: No
\(\lambda=(75,72,68)\)
- Multiplicity: 42
- Dimension: 90
- Dominant: No
\(\lambda=(78,74,63)\)
- Multiplicity: 50
- Dimension: 510
- Dominant: No
\(\lambda=(81,76,58)\)
- Multiplicity: 6
- Dimension: 1425
- Dominant: No
\(\lambda=(83,72,60)\)
- Multiplicity: 1
- Dimension: 1950
- Dominant: No
\(\lambda=(80,70,65)\)
- Multiplicity: 40
- Dimension: 561
- Dominant: No
\(\lambda=(75,71,69)\)
- Multiplicity: 34
- Dimension: 60
- Dominant: No
\(\lambda=(78,73,64)\)
- Multiplicity: 63
- Dimension: 480
- Dominant: No
\(\lambda=(81,75,59)\)
- Multiplicity: 11
- Dimension: 1428
- Dominant: No
\(\lambda=(83,71,61)\)
- Multiplicity: 2
- Dimension: 1716
- Dominant: No
\(\lambda=(80,69,66)\)
- Multiplicity: 31
- Dimension: 384
- Dominant: No
\(\lambda=(79,79,57)\)
- Multiplicity: 2
- Dimension: 276
- Dominant: No
\(\lambda=(75,70,70)\)
- Multiplicity: 11
- Dimension: 21
- Dominant: No
\(\lambda=(76,76,63)\)
- Multiplicity: 13
- Dimension: 105
- Dominant: No
\(\lambda=(78,72,65)\)
- Multiplicity: 66
- Dimension: 420
- Dominant: No
\(\lambda=(81,74,60)\)
- Multiplicity: 15
- Dimension: 1380
- Dominant: No
\(\lambda=(83,70,62)\)
- Multiplicity: 2
- Dimension: 1449
- Dominant: No
\(\lambda=(80,68,67)\)
- Multiplicity: 17
- Dimension: 195
- Dominant: No
\(\lambda=(79,78,58)\)
- Multiplicity: 4
- Dimension: 483
- Dominant: No
\(\lambda=(73,73,69)\)
- Multiplicity: 10
- Dimension: 15
- Dominant: No
\(\lambda=(76,75,64)\)
- Multiplicity: 32
- Dimension: 168
- Dominant: No
\(\lambda=(78,71,66)\)
- Multiplicity: 64
- Dimension: 336
- Dominant: No
\(\lambda=(83,69,63)\)
- Multiplicity: 3
- Dimension: 1155
- Dominant: No
\(\lambda=(81,73,61)\)
- Multiplicity: 22
- Dimension: 1287
- Dominant: No
\(\lambda=(79,77,59)\)
- Multiplicity: 11
- Dimension: 627
- Dominant: No
\(\lambda=(73,72,70)\)
- Multiplicity: 10
- Dimension: 15
- Dominant: No
\(\lambda=(76,74,65)\)
- Multiplicity: 48
- Dimension: 195
- Dominant: No
\(\lambda=(78,70,67)\)
- Multiplicity: 50
- Dimension: 234
- Dominant: No
\(\lambda=(83,68,64)\)
- Multiplicity: 2
- Dimension: 840
- Dominant: No
\(\lambda=(81,72,62)\)
- Multiplicity: 24
- Dimension: 1155
- Dominant: No
\(\lambda=(79,76,60)\)
- Multiplicity: 18
- Dimension: 714
- Dominant: No
\(\lambda=(73,71,71)\)
- Multiplicity: 5
- Dimension: 6
- Dominant: No
\(\lambda=(76,73,66)\)
- Multiplicity: 60
- Dimension: 192
- Dominant: No
\(\lambda=(78,69,68)\)
- Multiplicity: 27
- Dimension: 120
- Dominant: No
\(\lambda=(83,67,65)\)
- Multiplicity: 2
- Dimension: 510
- Dominant: No
\(\lambda=(82,77,56)\)
- Multiplicity: 1
- Dimension: 1848
- Dominant: Yes
\(\lambda=(81,71,63)\)
- Multiplicity: 29
- Dimension: 990
- Dominant: No
\(\lambda=(79,75,61)\)
- Multiplicity: 30
- Dimension: 750
- Dominant: No
\(\lambda=(76,72,67)\)
- Multiplicity: 60
- Dimension: 165
- Dominant: No
\(\lambda=(79,74,62)\)
- Multiplicity: 40
- Dimension: 741
- Dominant: No
\(\lambda=(82,76,57)\)
- Multiplicity: 2
- Dimension: 1890
- Dominant: No
\(\lambda=(81,70,64)\)
- Multiplicity: 26
- Dimension: 798
- Dominant: No
\(\lambda=(76,71,68)\)
- Multiplicity: 50
- Dimension: 120
- Dominant: No
\(\lambda=(77,77,61)\)
- Multiplicity: 10
- Dimension: 153
- Dominant: No
\(\lambda=(79,73,63)\)
- Multiplicity: 53
- Dimension: 693
- Dominant: No
\(\lambda=(82,75,58)\)
- Multiplicity: 4
- Dimension: 1872
- Dominant: No
\(\lambda=(81,69,65)\)
- Multiplicity: 24
- Dimension: 585
- Dominant: No
\(\lambda=(80,79,56)\)
- Multiplicity: 2
- Dimension: 624
- Dominant: No
\(\lambda=(74,74,67)\)
- Multiplicity: 16
- Dimension: 36
- Dominant: No
\(\lambda=(76,70,69)\)
- Multiplicity: 28
- Dimension: 63
- Dominant: No
\(\lambda=(77,76,62)\)
- Multiplicity: 21
- Dimension: 255
- Dominant: No
\(\lambda=(79,72,64)\)
- Multiplicity: 56
- Dimension: 612
- Dominant: No
\(\lambda=(82,74,59)\)
- Multiplicity: 6
- Dimension: 1800
- Dominant: No
\(\lambda=(81,68,66)\)
- Multiplicity: 14
- Dimension: 357
- Dominant: No
\(\lambda=(80,78,57)\)
- Multiplicity: 3
- Dimension: 825
- Dominant: No
\(\textbf{a}=(56,77,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,56)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,63)\)
- Multiplicity: 1481
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,70)\)
- Multiplicity: 6470
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,77)\)
- Multiplicity: 1481
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,82)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,68)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,70)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,75)\)
- Multiplicity: 2408
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,56,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,82)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,68)\)
- Multiplicity: 7270
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,61)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,75)\)
- Multiplicity: 8025
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,56,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,80)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,68)\)
- Multiplicity: 1872
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,61)\)
- Multiplicity: 249
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,73)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,75)\)
- Multiplicity: 811
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,80)\)
- Multiplicity: 894
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,66)\)
- Multiplicity: 379
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,73)\)
- Multiplicity: 6174
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,80)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,66)\)
- Multiplicity: 4873
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,59)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,73)\)
- Multiplicity: 7947
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,55,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,78)\)
- Multiplicity: 811
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,66)\)
- Multiplicity: 111
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,59)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,71)\)
- Multiplicity: 237
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,73)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,78)\)
- Multiplicity: 3127
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,64)\)
- Multiplicity: 659
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,71)\)
- Multiplicity: 9728
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,78)\)
- Multiplicity: 496
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,57)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,64)\)
- Multiplicity: 1681
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,71)\)
- Multiplicity: 4199
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,76)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,68,83)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,69)\)
- Multiplicity: 894
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,76)\)
- Multiplicity: 3384
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,61,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,69)\)
- Multiplicity: 9491
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,62)\)
- Multiplicity: 604
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,76)\)
- Multiplicity: 5347
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,74,81)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,69)\)
- Multiplicity: 894
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,62)\)
- Multiplicity: 175
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,74)\)
- Multiplicity: 249
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,76)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,67,81)\)
- Multiplicity: 393
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,67)\)
- Multiplicity: 1820
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,74)\)
- Multiplicity: 7947
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,60,81)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,80,79)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,67)\)
- Multiplicity: 5347
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,60)\)
- Multiplicity: 274
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,74)\)
- Multiplicity: 4873
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,73,79)\)
- Multiplicity: 867
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,67)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,72)\)
- Multiplicity: 1148
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,59,74)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,66,79)\)
- Multiplicity: 1659
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,65)\)
- Multiplicity: 2162
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,72)\)
- Multiplicity: 11313
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,59,79)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,79,77)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,65)\)
- Multiplicity: 1429
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,58)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,72)\)
- Multiplicity: 2162
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,72,77)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,70)\)
- Multiplicity: 2943
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,63)\)
- Multiplicity: 1481
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,70)\)
- Multiplicity: 9728
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,65,77)\)
- Multiplicity: 2876
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,72,82)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,63)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,70)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,78,75)\)
- Multiplicity: 811
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,58,77)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,65,82)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,77,68)\)
- Multiplicity: 4601
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,61)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,71,75)\)
- Multiplicity: 8025
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,58,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,78,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,70,68)\)
- Multiplicity: 4601
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,76,61)\)
- Multiplicity: 496
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,64,75)\)
- Multiplicity: 2408
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,71,80)\)
- Multiplicity: 659
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,83,66)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,77,73)\)
- Multiplicity: 2876
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,64,80)\)
- Multiplicity: 659
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,76,66)\)
- Multiplicity: 4406
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,82,59)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,70,73)\)
- Multiplicity: 10527
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,57,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,77,78)\)
- Multiplicity: 274
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,69,66)\)
- Multiplicity: 894
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,75,59)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,83,71)\)
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\(\textbf{a}=(62,82,71)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,62,73)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,69,78)\)
- Multiplicity: 3127
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,81,64)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,75,71)\)
- Multiplicity: 8025
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,62,78)\)
- Multiplicity: 811
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,80,57)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,74,64)\)
- Multiplicity: 2141
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,68,71)\)
- Multiplicity: 6075
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,82,76)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,69,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,81,69)\)
- Multiplicity: 347
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,61,71)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,75,76)\)
- Multiplicity: 2408
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,62,83)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,74,69)\)
- Multiplicity: 9095
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,80,62)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,68,76)\)
- Multiplicity: 6075
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,75,81)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,67,69)\)
- Multiplicity: 1820
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,79,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,73,62)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,81,74)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,61,76)\)
- Multiplicity: 496
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,68,81)\)
- Multiplicity: 379
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,80,67)\)
- Multiplicity: 950
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,74,74)\)
- Multiplicity: 6465
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,61,81)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,81,79)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,73,67)\)
- Multiplicity: 6174
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,79,60)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,67,74)\)
- Multiplicity: 6465
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,74,79)\)
- Multiplicity: 604
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,66,67)\)
- Multiplicity: 111
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,72,60)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,80,72)\)
- Multiplicity: 512
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,60,74)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,67,79)\)
- Multiplicity: 1820
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,79,65)\)
- Multiplicity: 1429
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,73,72)\)
- Multiplicity: 10527
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,60,79)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,80,77)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,72,65)\)
- Multiplicity: 2162
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,78,58)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,66,72)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,73,77)\)
- Multiplicity: 2876
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,79,70)\)
- Multiplicity: 1659
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,78,63)\)
- Multiplicity: 1214
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,72,70)\)
- Multiplicity: 10527
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,66,77)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,73,82)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,77,56)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,71,63)\)
- Multiplicity: 237
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,65,70)\)
- Multiplicity: 792
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,79,75)\)
- Multiplicity: 391
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,59,77)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,66,82)\)
- Multiplicity: 111
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,78,68)\)
- Multiplicity: 3127
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,72,75)\)
- Multiplicity: 7270
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,59,82)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,79,80)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,68)\)
- Multiplicity: 6075
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,61)\)
- Multiplicity: 541
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,65,75)\)
- Multiplicity: 3576
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,72,80)\)
- Multiplicity: 512
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,68)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,73)\)
- Multiplicity: 1681
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,58,75)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,65,80)\)
- Multiplicity: 792
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,66)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,83,59)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,73)\)
- Multiplicity: 10908
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,58,80)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,78,78)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,66)\)
- Multiplicity: 1659
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,59)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,73)\)
- Multiplicity: 1681
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,71,78)\)
- Multiplicity: 2604
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,64)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,71)\)
- Multiplicity: 4199
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,64,78)\)
- Multiplicity: 1681
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,64)\)
- Multiplicity: 2408
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,82,57)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,71)\)
- Multiplicity: 9728
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,71,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,57,78)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,64)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,83,69)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,71)\)
- Multiplicity: 237
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,77,76)\)
- Multiplicity: 937
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,64,83)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,62)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,69)\)
- Multiplicity: 6470
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,70,76)\)
- Multiplicity: 6470
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,77,81)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,69)\)
- Multiplicity: 4750
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,81,55)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,62)\)
- Multiplicity: 811
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,63,76)\)
- Multiplicity: 1575
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,70,81)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,67)\)
- Multiplicity: 111
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,74)\)
- Multiplicity: 3384
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,63,81)\)
- Multiplicity: 237
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,67)\)
- Multiplicity: 6174
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,60)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,74)\)
- Multiplicity: 9095
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,56,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,79)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,67)\)
- Multiplicity: 950
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,60)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,72)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,74)\)
- Multiplicity: 604
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,79)\)
- Multiplicity: 1820
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,65)\)
- Multiplicity: 347
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,72)\)
- Multiplicity: 7270
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,79)\)
- Multiplicity: 604
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,82,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,65)\)
- Multiplicity: 3384
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,58)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,72)\)
- Multiplicity: 7270
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,55,79)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,75,77)\)
- Multiplicity: 1481
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,65)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,70)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,72)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,63)\)
- Multiplicity: 512
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,70)\)
- Multiplicity: 9728
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,68,77)\)
- Multiplicity: 4601
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,75,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,79,56)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,63)\)
- Multiplicity: 867
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,70)\)
- Multiplicity: 2943
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,75)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,61,77)\)
- Multiplicity: 541
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,68,82)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,68)\)
- Multiplicity: 950
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,75)\)
- Multiplicity: 4873
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,61,82)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,68)\)
- Multiplicity: 7947
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,61)\)
- Multiplicity: 391
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,75)\)
- Multiplicity: 6174
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,80)\)
- Multiplicity: 249
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,68)\)
- Multiplicity: 379
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,61)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,73)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,75)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,80)\)
- Multiplicity: 950
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,66)\)
- Multiplicity: 1659
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,73)\)
- Multiplicity: 9491
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,80)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,78)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,66)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,59)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,73)\)
- Multiplicity: 4406
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,78)\)
- Multiplicity: 1681
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,71)\)
- Multiplicity: 1429
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,59,73)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,78)\)
- Multiplicity: 2604
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,64)\)
- Multiplicity: 1681
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,71)\)
- Multiplicity: 11313
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,73,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,78)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,77,57)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,64)\)
- Multiplicity: 659
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,71)\)
- Multiplicity: 1429
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,76)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,66,83)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,69)\)
- Multiplicity: 3127
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,76)\)
- Multiplicity: 5347
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,59,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,79,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,69)\)
- Multiplicity: 8025
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,62)\)
- Multiplicity: 937
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,76)\)
- Multiplicity: 3384
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,81)\)
- Multiplicity: 175
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,69)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,70,62)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,74)\)
- Multiplicity: 1214
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,76)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,81)\)
- Multiplicity: 347
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,67)\)
- Multiplicity: 4199
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,83,60)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,74)\)
- Multiplicity: 9728
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,81)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,79)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,67)\)
- Multiplicity: 2943
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,60)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,74)\)
- Multiplicity: 2141
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,79)\)
- Multiplicity: 1429
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,65)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,72)\)
- Multiplicity: 3584
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,79)\)
- Multiplicity: 1148
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,65)\)
- Multiplicity: 3384
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,58)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,72)\)
- Multiplicity: 10527
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,79)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,77)\)
- Multiplicity: 541
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,65)\)
- Multiplicity: 347
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,58)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,70)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,72)\)
- Multiplicity: 512
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,63)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,70)\)
- Multiplicity: 6470
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,77)\)
- Multiplicity: 4601
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{29,\lambda}(2,5;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{29,1}(2,5;7)\). 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 \(\beta_{29,\textbf{a}}(2,5;7)\). 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!