Current Betti Table Entry:
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33 |
| 0 |
(1,0,0) |
(7,1,0) |
(13,1,1) |
· |
· |
· |
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· |
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· |
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· |
· |
· |
| 1 |
· |
· |
(17,5,0) |
(23,5,1) |
(28,6,2) |
(33,6,4) |
(37,9,4) |
(41,11,5) |
(45,12,7) |
(49,12,10) |
(52,16,10) |
(55,19,11) |
(58,21,13) |
(61,22,16) |
(64,22,20) |
(66,27,20) |
(68,31,21) |
(70,34,23) |
(72,36,26) |
(74,37,30) |
(76,37,35) |
(77,43,35) |
(78,48,36) |
(79,52,38) |
(80,55,41) |
? |
? |
? |
? |
? |
· |
· |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
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? |
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? |
? |
(82,77,59) |
(83,77,65) |
(83,80,69) |
(83,82,74) |
(83,83,80) |
\(\lambda=(82,75,68)\)
- Multiplicity: 4
- Dimension: 512
- Dominant: No
\(\lambda=(80,79,66)\)
- Multiplicity: 2
- Dimension: 224
- Dominant: No
\(\lambda=(79,73,73)\)
- Multiplicity: 1
- Dimension: 28
- Dominant: No
\(\lambda=(77,77,71)\)
- Multiplicity: 1
- Dimension: 28
- Dominant: No
\(\lambda=(82,74,69)\)
- Multiplicity: 4
- Dimension: 405
- Dominant: No
\(\lambda=(80,78,67)\)
- Multiplicity: 4
- Dimension: 270
- Dominant: No
\(\lambda=(77,76,72)\)
- Multiplicity: 2
- Dimension: 35
- Dominant: No
\(\lambda=(82,73,70)\)
- Multiplicity: 3
- Dimension: 280
- Dominant: No
\(\lambda=(80,77,68)\)
- Multiplicity: 5
- Dimension: 280
- Dominant: No
\(\lambda=(77,75,73)\)
- Multiplicity: 2
- Dimension: 27
- Dominant: No
\(\lambda=(82,72,71)\)
- Multiplicity: 1
- Dimension: 143
- Dominant: No
\(\lambda=(80,76,69)\)
- Multiplicity: 6
- Dimension: 260
- Dominant: No
\(\lambda=(77,74,74)\)
- Multiplicity: 2
- Dimension: 10
- Dominant: No
\(\lambda=(83,77,65)\)
- Multiplicity: 1
- Dimension: 910
- Dominant: Yes
\(\lambda=(80,75,70)\)
- Multiplicity: 6
- Dimension: 216
- Dominant: No
\(\lambda=(81,80,64)\)
- Multiplicity: 1
- Dimension: 323
- Dominant: No
\(\lambda=(80,74,71)\)
- Multiplicity: 5
- Dimension: 154
- Dominant: No
\(\lambda=(78,78,69)\)
- Multiplicity: 2
- Dimension: 55
- Dominant: No
\(\lambda=(81,79,65)\)
- Multiplicity: 2
- Dimension: 405
- Dominant: No
\(\lambda=(83,75,67)\)
- Multiplicity: 1
- Dimension: 729
- Dominant: No
\(\lambda=(80,73,72)\)
- Multiplicity: 2
- Dimension: 80
- Dominant: No
\(\lambda=(78,77,70)\)
- Multiplicity: 2
- Dimension: 80
- Dominant: No
\(\lambda=(81,78,66)\)
- Multiplicity: 3
- Dimension: 442
- Dominant: No
\(\lambda=(83,74,68)\)
- Multiplicity: 1
- Dimension: 595
- Dominant: No
\(\lambda=(78,76,71)\)
- Multiplicity: 4
- Dimension: 81
- Dominant: No
\(\lambda=(81,77,67)\)
- Multiplicity: 4
- Dimension: 440
- Dominant: No
\(\lambda=(83,73,69)\)
- Multiplicity: 1
- Dimension: 440
- Dominant: No
\(\lambda=(78,75,72)\)
- Multiplicity: 4
- Dimension: 64
- Dominant: No
\(\lambda=(81,76,68)\)
- Multiplicity: 5
- Dimension: 405
- Dominant: No
\(\lambda=(78,74,73)\)
- Multiplicity: 2
- Dimension: 35
- Dominant: No
\(\lambda=(81,75,69)\)
- Multiplicity: 6
- Dimension: 343
- Dominant: No
\(\lambda=(83,71,71)\)
- Multiplicity: 1
- Dimension: 91
- Dominant: No
\(\lambda=(79,79,67)\)
- Multiplicity: 1
- Dimension: 91
- Dominant: No
\(\lambda=(81,74,70)\)
- Multiplicity: 5
- Dimension: 260
- Dominant: No
\(\lambda=(82,80,63)\)
- Multiplicity: 1
- Dimension: 567
- Dominant: Yes
\(\lambda=(79,78,68)\)
- Multiplicity: 2
- Dimension: 143
- Dominant: No
\(\lambda=(76,76,73)\)
- Multiplicity: 2
- Dimension: 10
- Dominant: No
\(\lambda=(76,75,74)\)
- Multiplicity: 1
- Dimension: 8
- Dominant: No
\(\lambda=(81,73,71)\)
- Multiplicity: 3
- Dimension: 162
- Dominant: No
\(\lambda=(82,79,64)\)
- Multiplicity: 2
- Dimension: 640
- Dominant: No
\(\lambda=(79,77,69)\)
- Multiplicity: 3
- Dimension: 162
- Dominant: No
\(\lambda=(81,72,72)\)
- Multiplicity: 1
- Dimension: 55
- Dominant: No
\(\lambda=(82,78,65)\)
- Multiplicity: 2
- Dimension: 665
- Dominant: No
\(\lambda=(79,76,70)\)
- Multiplicity: 5
- Dimension: 154
- Dominant: No
\(\lambda=(82,77,66)\)
- Multiplicity: 3
- Dimension: 648
- Dominant: No
\(\lambda=(79,75,71)\)
- Multiplicity: 4
- Dimension: 125
- Dominant: No
\(\lambda=(80,80,65)\)
- Multiplicity: 2
- Dimension: 136
- Dominant: No
\(\lambda=(82,76,67)\)
- Multiplicity: 4
- Dimension: 595
- Dominant: No
\(\lambda=(79,74,72)\)
- Multiplicity: 4
- Dimension: 81
- Dominant: No
\(\textbf{a}=(80,63,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,73,81)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,68)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,79,74)\)
- Multiplicity: 273
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,75)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,66,81)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,80)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,78,67)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,73)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,72,74)\)
- Multiplicity: 273
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,80)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,79,79)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,66)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,73)\)
- Multiplicity: 456
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,72,79)\)
- Multiplicity: 273
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,78)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,78,72)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,65,79)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,71,72)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,71)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,77,65)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,78)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,71)\)
- Multiplicity: 168
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,80,64)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,78,77)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,78)\)
- Multiplicity: 99
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,77,70)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,76)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,71,77)\)
- Multiplicity: 317
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,78,82)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,69)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,76)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,71,82)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,83,68)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,69)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,77,75)\)
- Multiplicity: 456
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,76)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,64,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,81)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,76,68)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,74)\)
- Multiplicity: 168
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,70,75)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,81)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,77,80)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,67)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,83,73)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,74)\)
- Multiplicity: 384
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,70,80)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,79)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,82,66)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,76,73)\)
- Multiplicity: 484
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,63,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,79)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,69,73)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,72)\)
- Multiplicity: 273
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,79)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,72)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,82,71)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,78,65)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,76,78)\)
- Multiplicity: 298
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,75,71)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,81,64)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,77)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,69,78)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,76,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,70)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,82,76)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,77)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,69,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,81,69)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,75,76)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,82)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,74,69)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,75)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,68,76)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,82)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,75,81)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,68)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,81,74)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,75)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,68,81)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,80)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,80,67)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,74,74)\)
- Multiplicity: 479
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,80)\)
- Multiplicity: 168
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,81,79)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,83,66)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,73)\)
- Multiplicity: 456
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,80)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,74,79)\)
- Multiplicity: 273
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,73)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,80,72)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,76,66)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,67,79)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,73,72)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,71)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,79,65)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,77,78)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,76,71)\)
- Multiplicity: 298
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,82,64)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,80,77)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,70,78)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,77,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,79,70)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,83,76)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,73,77)\)
- Multiplicity: 456
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,70,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,80,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,72,70)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,82,69)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,76,76)\)
- Multiplicity: 484
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,66,77)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,73,82)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,75,69)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,79,75)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,69,76)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,66,82)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,76,81)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,78,68)\)
- Multiplicity: 99
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,82,74)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,72,75)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,69,81)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,79,80)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,81,67)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,75,74)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,72,80)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,82,79)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,78,73)\)
- Multiplicity: 384
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,68,74)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,65,80)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,75,79)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,71,73)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,81,72)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,77,66)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,68,79)\)
- Multiplicity: 99
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,74,72)\)
- Multiplicity: 273
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,80,65)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,78,78)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,71)\)
- Multiplicity: 317
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,81,77)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,78)\)
- Multiplicity: 298
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,80,70)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,74,77)\)
- Multiplicity: 479
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,73,70)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,83,69)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,76)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,67,77)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,74,82)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,69)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,80,75)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,76)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,67,82)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,81)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,79,68)\)
- Multiplicity: 99
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,74)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,73,75)\)
- Multiplicity: 456
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,81)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,80,80)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,82,67)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,74)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,73,80)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,75,67)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,79,73)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,74)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,66,80)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,79)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,72,73)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,72)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,78,66)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,79)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,72)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,81,65)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,79,78)\)
- Multiplicity: 99
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,78,71)\)
- Multiplicity: 298
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,77)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,72,78)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,71,71)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,70)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,77)\)
- Multiplicity: 456
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,65,78)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,72,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,70)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,80,63)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,78,76)\)
- Multiplicity: 298
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,77)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,65,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,82)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,77,69)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,75)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,71,76)\)
- Multiplicity: 298
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,82)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,78,81)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,68)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,75)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,71,81)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,80)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,83,67)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,77,74)\)
- Multiplicity: 479
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,75)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,64,81)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,80)\)
- Multiplicity: 168
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,76,67)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,73)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,70,74)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,80)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,77,79)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,73)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,83,72)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,79,66)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,70,79)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,76,72)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,82,65)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,78)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,71)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,83,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,78)\)
- Multiplicity: 384
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,71)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,82,70)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,76,77)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,78)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,75,70)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,81,63)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,76)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,69,77)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,76,82)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,69)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,82,75)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,76)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,69,82)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,81)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,81,68)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,75,75)\)
- Multiplicity: 563
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,81)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,82,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,74,68)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,74)\)
- Multiplicity: 384
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,68,75)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,81)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,75,80)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,77,67)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,81,73)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,74)\)
- Multiplicity: 168
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,68,80)\)
- Multiplicity: 81
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,79)\)
- Multiplicity: 99
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,80,66)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,74,73)\)
- Multiplicity: 384
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,79)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,81,78)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,72)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,83,65)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,79)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,70,72)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,80,71)\)
- Multiplicity: 168
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,74,78)\)
- Multiplicity: 384
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,73,71)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,83,70)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,79,64)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,77)\)
- Multiplicity: 317
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,67,78)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,74,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,70)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,82,63)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,80,76)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,77)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,67,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,82)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,79,69)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,75)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,73,76)\)
- Multiplicity: 484
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,82)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,80,81)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,68)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,75)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,66,76)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{30,\lambda}(2,1;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{30,2}(2,1;7)\). 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!
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Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{30,\textbf{a}}(2,1;7)\). 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!