Current Betti Table Entry:
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| 0 |
(0,0,0) |
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| 1 |
· |
(12,2,0) |
(18,2,1) |
(23,4,1) |
(28,5,2) |
(33,5,4) |
(37,8,4) |
(41,10,5) |
(45,11,7) |
(49,11,10) |
(52,15,10) |
(55,18,11) |
(58,20,13) |
(61,21,16) |
(64,21,20) |
(66,26,20) |
(68,30,21) |
(70,33,23) |
(72,35,26) |
(74,36,30) |
? |
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? |
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? |
(82,73,55) |
(83,73,61) |
(83,77,64) |
(83,80,68) |
(83,82,73) |
(83,83,79) |
|
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| 1 |
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3 |
34 |
67 |
99 |
130 |
162 |
197 |
227 |
256 |
284 |
310 |
333 |
348 |
363 |
371 |
377 |
378 |
372 |
362 |
? |
? |
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109 |
82 |
55 |
27 |
4 |
1 |
\(\lambda=(77,77,70)\)
- Multiplicity: 1
- Dimension: 36
- Dominant: No
\(\lambda=(82,75,67)\)
- Multiplicity: 6
- Dimension: 612
- Dominant: No
\(\lambda=(80,79,65)\)
- Multiplicity: 3
- Dimension: 255
- Dominant: No
\(\lambda=(79,73,72)\)
- Multiplicity: 4
- Dimension: 63
- Dominant: No
\(\lambda=(77,76,71)\)
- Multiplicity: 4
- Dimension: 48
- Dominant: No
\(\lambda=(82,74,68)\)
- Multiplicity: 6
- Dimension: 504
- Dominant: No
\(\lambda=(80,78,66)\)
- Multiplicity: 5
- Dimension: 312
- Dominant: No
\(\lambda=(77,75,72)\)
- Multiplicity: 4
- Dimension: 42
- Dominant: No
\(\lambda=(82,73,69)\)
- Multiplicity: 5
- Dimension: 375
- Dominant: No
\(\lambda=(80,77,67)\)
- Multiplicity: 7
- Dimension: 330
- Dominant: No
\(\lambda=(77,74,73)\)
- Multiplicity: 3
- Dimension: 24
- Dominant: No
\(\lambda=(82,72,70)\)
- Multiplicity: 3
- Dimension: 231
- Dominant: No
\(\lambda=(80,76,68)\)
- Multiplicity: 9
- Dimension: 315
- Dominant: No
\(\lambda=(82,71,71)\)
- Multiplicity: 1
- Dimension: 78
- Dominant: No
\(\lambda=(83,77,64)\)
- Multiplicity: 1
- Dimension: 1029
- Dominant: Yes
\(\lambda=(80,75,69)\)
- Multiplicity: 9
- Dimension: 273
- Dominant: No
\(\lambda=(81,80,63)\)
- Multiplicity: 1
- Dimension: 360
- Dominant: No
\(\lambda=(83,76,65)\)
- Multiplicity: 1
- Dimension: 960
- Dominant: No
\(\lambda=(80,74,70)\)
- Multiplicity: 9
- Dimension: 210
- Dominant: No
\(\lambda=(78,78,68)\)
- Multiplicity: 3
- Dimension: 66
- Dominant: No
\(\lambda=(81,79,64)\)
- Multiplicity: 2
- Dimension: 456
- Dominant: No
\(\lambda=(83,75,66)\)
- Multiplicity: 1
- Dimension: 855
- Dominant: No
\(\lambda=(80,73,71)\)
- Multiplicity: 5
- Dimension: 132
- Dominant: No
\(\lambda=(78,77,69)\)
- Multiplicity: 4
- Dimension: 99
- Dominant: No
\(\lambda=(81,78,65)\)
- Multiplicity: 4
- Dimension: 504
- Dominant: No
\(\lambda=(83,74,67)\)
- Multiplicity: 2
- Dimension: 720
- Dominant: No
\(\lambda=(80,72,72)\)
- Multiplicity: 2
- Dimension: 45
- Dominant: No
\(\lambda=(78,76,70)\)
- Multiplicity: 7
- Dimension: 105
- Dominant: No
\(\lambda=(81,77,66)\)
- Multiplicity: 5
- Dimension: 510
- Dominant: No
\(\lambda=(83,73,68)\)
- Multiplicity: 2
- Dimension: 561
- Dominant: No
\(\lambda=(78,75,71)\)
- Multiplicity: 6
- Dimension: 90
- Dominant: No
\(\lambda=(81,76,67)\)
- Multiplicity: 7
- Dimension: 480
- Dominant: No
\(\lambda=(83,72,69)\)
- Multiplicity: 1
- Dimension: 384
- Dominant: No
\(\lambda=(78,74,72)\)
- Multiplicity: 6
- Dimension: 60
- Dominant: No
\(\lambda=(81,75,68)\)
- Multiplicity: 8
- Dimension: 420
- Dominant: No
\(\lambda=(83,71,70)\)
- Multiplicity: 1
- Dimension: 195
- Dominant: No
\(\lambda=(79,79,66)\)
- Multiplicity: 1
- Dimension: 105
- Dominant: No
\(\lambda=(78,73,73)\)
- Multiplicity: 1
- Dimension: 21
- Dominant: No
\(\lambda=(76,76,72)\)
- Multiplicity: 3
- Dimension: 15
- Dominant: No
\(\lambda=(81,74,69)\)
- Multiplicity: 8
- Dimension: 336
- Dominant: No
\(\lambda=(82,80,62)\)
- Multiplicity: 1
- Dimension: 627
- Dominant: Yes
\(\lambda=(79,78,67)\)
- Multiplicity: 4
- Dimension: 168
- Dominant: No
\(\lambda=(76,75,73)\)
- Multiplicity: 2
- Dimension: 15
- Dominant: No
\(\lambda=(82,79,63)\)
- Multiplicity: 2
- Dimension: 714
- Dominant: No
\(\lambda=(81,73,70)\)
- Multiplicity: 6
- Dimension: 234
- Dominant: No
\(\lambda=(79,77,68)\)
- Multiplicity: 5
- Dimension: 195
- Dominant: No
\(\lambda=(76,74,74)\)
- Multiplicity: 2
- Dimension: 6
- Dominant: No
\(\lambda=(82,78,64)\)
- Multiplicity: 3
- Dimension: 750
- Dominant: No
\(\lambda=(81,72,71)\)
- Multiplicity: 3
- Dimension: 120
- Dominant: No
\(\lambda=(79,76,69)\)
- Multiplicity: 8
- Dimension: 192
- Dominant: No
\(\lambda=(82,77,65)\)
- Multiplicity: 4
- Dimension: 741
- Dominant: No
\(\lambda=(79,75,70)\)
- Multiplicity: 8
- Dimension: 165
- Dominant: No
\(\lambda=(82,76,66)\)
- Multiplicity: 5
- Dimension: 693
- Dominant: No
\(\lambda=(80,80,64)\)
- Multiplicity: 2
- Dimension: 153
- Dominant: No
\(\lambda=(79,74,71)\)
- Multiplicity: 7
- Dimension: 120
- Dominant: No
\(\textbf{a}=(80,63,81)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,73,80)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,67)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,79,73)\)
- Multiplicity: 441
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,74)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,66,80)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,79)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,78,66)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,72)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,72,73)\)
- Multiplicity: 441
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,79)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,79,78)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,65)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,72)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,72,78)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,77)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,78,71)\)
- Multiplicity: 530
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,65,78)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,71,71)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,70)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,77,64)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,77)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,72,83)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,70)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,80,63)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,78,76)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,77)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,65,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,82)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,77,69)\)
- Multiplicity: 321
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,75)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,71,76)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,82)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,78,81)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,68)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,75)\)
- Multiplicity: 948
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,71,81)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,80)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,83,67)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,68)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,77,74)\)
- Multiplicity: 773
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,75)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,64,81)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,80)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,76,67)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,73)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,70,74)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,80)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,77,79)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,66)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,83,72)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,73)\)
- Multiplicity: 622
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,70,79)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,78)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,82,65)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,76,72)\)
- Multiplicity: 753
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,63,79)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,78)\)
- Multiplicity: 622
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,83,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,69,72)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,71)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,78)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,71)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,82,70)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,78,64)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,76,77)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,83)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,75,70)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,81,63)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,76)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,69,77)\)
- Multiplicity: 321
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,76,82)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,69)\)
- Multiplicity: 321
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,82,75)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,76)\)
- Multiplicity: 753
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,69,82)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,81)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,81,68)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,75,75)\)
- Multiplicity: 948
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,76)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,62,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,81)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,82,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,74,68)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,74)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,68,75)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,81)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,75,80)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,67)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,81,73)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,74)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,68,80)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,79)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,80,66)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,74,73)\)
- Multiplicity: 773
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,79)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,81,78)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,83,65)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,72)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,79)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,74,78)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,72)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,80,71)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,76,65)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,67,78)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,73,71)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,70)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,79,64)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,77,77)\)
- Multiplicity: 460
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,74,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,76,70)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,82,63)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,80,76)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,70,77)\)
- Multiplicity: 460
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,67,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,77,82)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,79,69)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,83,75)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,73,76)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,70,82)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,80,81)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,72,69)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,82,68)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,76,75)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,66,76)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,63,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,73,81)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,75,68)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,79,74)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,69,75)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,66,81)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,76,80)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,78,67)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,82,73)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,72,74)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,69,80)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,79,79)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,81,66)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,75,73)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,62,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,72,79)\)
- Multiplicity: 441
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,82,78)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,78,72)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,68,73)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,65,79)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,75,78)\)
- Multiplicity: 530
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,71,72)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,81,71)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,77,65)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,68,78)\)
- Multiplicity: 217
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,74,71)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,80,64)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,78,77)\)
- Multiplicity: 321
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,75,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,70)\)
- Multiplicity: 460
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,81,76)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,77)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,68,83)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,80,69)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,74,76)\)
- Multiplicity: 904
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,82)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,81,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,73,69)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,83,68)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,75)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,67,76)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,74,81)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,68)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,80,74)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,75)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,67,81)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,80)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,79,67)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,73)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,73,74)\)
- Multiplicity: 773
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,80)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,80,79)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,82,66)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,73)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,80)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,73,79)\)
- Multiplicity: 441
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,75,66)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,79,72)\)
- Multiplicity: 441
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,73)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,66,79)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,78)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,72,72)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,71)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,78,65)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,78)\)
- Multiplicity: 321
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,71)\)
- Multiplicity: 530
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,81,64)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,79,77)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,78,70)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,76)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,72,77)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,83)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,79,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,71,70)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,69)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,76)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,65,77)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,72,82)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,69)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,80,62)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,78,75)\)
- Multiplicity: 530
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,76)\)
- Multiplicity: 152
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,65,82)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,81)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,77,68)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,74)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,71,75)\)
- Multiplicity: 530
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,81)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,78,80)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,67)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,74)\)
- Multiplicity: 904
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,71,80)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,79)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,83,66)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,77,73)\)
- Multiplicity: 773
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,74)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,64,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,79)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,76,66)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,72)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,70,73)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,79)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,77,78)\)
- Multiplicity: 321
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,72)\)
- Multiplicity: 441
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,83,71)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,79,65)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,70,78)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,77)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,76,71)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,82,64)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,77,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,70)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,83,76)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,77)\)
- Multiplicity: 773
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,70,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,70)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,82,69)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,76,76)\)
- Multiplicity: 753
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,77)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,82)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,75,69)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,81,62)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,75)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,69,76)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,82)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,76,81)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,68)\)
- Multiplicity: 217
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,82,74)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,75)\)
- Multiplicity: 709
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,69,81)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,80)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,81,67)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,75,74)\)
- Multiplicity: 948
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,62,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,80)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,82,79)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,74,67)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,73)\)
- Multiplicity: 622
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,68,74)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,80)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,75,79)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,77,66)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,81,72)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,73)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,68,79)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,78)\)
- Multiplicity: 217
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,80,65)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,74,72)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,78)\)
- Multiplicity: 530
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,81,77)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,71)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,83,64)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,78)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,70,71)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,80,70)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,74,77)\)
- Multiplicity: 773
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,73,70)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,83,69)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,79,63)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,76)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,67,77)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,74,82)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,69)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,82,62)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,80,75)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,76)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,67,82)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,81)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,79,68)\)
- Multiplicity: 198
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,74)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,73,75)\)
- Multiplicity: 861
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,81)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,80,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,67)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,74)\)
- Multiplicity: 904
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,66,75)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{30,\lambda}(2,0;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{30,2}(2,0;7)\). 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!
|
75 |
76 |
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78 |
79 |
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81 |
82 |
83 |
84 |
| 70 |
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3
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| 7
| 5
| 1
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| 77 |
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1
| 4
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| 7
| 5
| 4
| 1
| · |
| 78 |
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3
| 4
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| 4
| 3
| · |
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| 79 |
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1
| 3
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| · |
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| 80 |
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Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{30,\textbf{a}}(2,0;7)\). 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!