Current Betti Table Entry:
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| 0 |
(6,0,0) |
(12,1,0) |
(18,1,1) |
(23,3,1) |
(28,4,2) |
(33,4,4) |
(37,7,4) |
(41,9,5) |
(45,10,7) |
(49,10,10) |
(52,14,10) |
(55,17,11) |
(58,19,13) |
(61,20,16) |
? |
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(82,68,52) |
(83,68,58) |
(83,73,60) |
(83,77,63) |
(83,80,67) |
(83,82,72) |
(83,83,78) |
| 2 |
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| 0 |
1 |
6 |
36 |
66 |
95 |
128 |
158 |
193 |
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254 |
280 |
305 |
327 |
344 |
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149 |
118 |
89 |
59 |
32 |
5 |
1 |
| 2 |
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\(\lambda=(77,76,70)\)
- Multiplicity: 6
- Dimension: 63
- Dominant: No
\(\lambda=(82,74,67)\)
- Multiplicity: 8
- Dimension: 612
- Dominant: No
\(\lambda=(80,78,65)\)
- Multiplicity: 6
- Dimension: 357
- Dominant: No
\(\lambda=(79,72,72)\)
- Multiplicity: 3
- Dimension: 36
- Dominant: No
\(\lambda=(77,75,71)\)
- Multiplicity: 6
- Dimension: 60
- Dominant: No
\(\lambda=(82,73,68)\)
- Multiplicity: 7
- Dimension: 480
- Dominant: No
\(\lambda=(80,77,66)\)
- Multiplicity: 8
- Dimension: 384
- Dominant: No
\(\lambda=(77,74,72)\)
- Multiplicity: 6
- Dimension: 42
- Dominant: No
\(\lambda=(82,72,69)\)
- Multiplicity: 5
- Dimension: 330
- Dominant: No
\(\lambda=(80,76,67)\)
- Multiplicity: 11
- Dimension: 375
- Dominant: No
\(\lambda=(77,73,73)\)
- Multiplicity: 1
- Dimension: 15
- Dominant: No
\(\lambda=(82,71,70)\)
- Multiplicity: 3
- Dimension: 168
- Dominant: No
\(\lambda=(83,77,63)\)
- Multiplicity: 1
- Dimension: 1155
- Dominant: Yes
\(\lambda=(80,75,68)\)
- Multiplicity: 12
- Dimension: 336
- Dominant: No
\(\lambda=(81,80,62)\)
- Multiplicity: 1
- Dimension: 399
- Dominant: No
\(\lambda=(83,76,64)\)
- Multiplicity: 1
- Dimension: 1092
- Dominant: No
\(\lambda=(80,74,69)\)
- Multiplicity: 12
- Dimension: 273
- Dominant: No
\(\lambda=(78,78,67)\)
- Multiplicity: 4
- Dimension: 78
- Dominant: No
\(\lambda=(81,79,63)\)
- Multiplicity: 2
- Dimension: 510
- Dominant: No
\(\lambda=(83,75,65)\)
- Multiplicity: 2
- Dimension: 990
- Dominant: No
\(\lambda=(80,73,70)\)
- Multiplicity: 9
- Dimension: 192
- Dominant: No
\(\lambda=(78,77,68)\)
- Multiplicity: 6
- Dimension: 120
- Dominant: No
\(\lambda=(75,74,74)\)
- Multiplicity: 1
- Dimension: 3
- Dominant: No
\(\lambda=(81,78,64)\)
- Multiplicity: 4
- Dimension: 570
- Dominant: No
\(\lambda=(83,74,66)\)
- Multiplicity: 2
- Dimension: 855
- Dominant: No
\(\lambda=(80,72,71)\)
- Multiplicity: 5
- Dimension: 99
- Dominant: No
\(\lambda=(78,76,69)\)
- Multiplicity: 10
- Dimension: 132
- Dominant: No
\(\lambda=(81,77,65)\)
- Multiplicity: 6
- Dimension: 585
- Dominant: No
\(\lambda=(83,73,67)\)
- Multiplicity: 3
- Dimension: 693
- Dominant: No
\(\lambda=(78,75,70)\)
- Multiplicity: 10
- Dimension: 120
- Dominant: No
\(\lambda=(78,74,71)\)
- Multiplicity: 9
- Dimension: 90
- Dominant: No
\(\lambda=(81,76,66)\)
- Multiplicity: 8
- Dimension: 561
- Dominant: No
\(\lambda=(83,72,68)\)
- Multiplicity: 2
- Dimension: 510
- Dominant: No
\(\lambda=(78,73,72)\)
- Multiplicity: 5
- Dimension: 48
- Dominant: No
\(\lambda=(81,75,67)\)
- Multiplicity: 10
- Dimension: 504
- Dominant: No
\(\lambda=(83,71,69)\)
- Multiplicity: 2
- Dimension: 312
- Dominant: No
\(\lambda=(79,79,65)\)
- Multiplicity: 1
- Dimension: 120
- Dominant: No
\(\lambda=(76,76,71)\)
- Multiplicity: 4
- Dimension: 21
- Dominant: No
\(\lambda=(81,74,68)\)
- Multiplicity: 10
- Dimension: 420
- Dominant: No
\(\lambda=(82,80,61)\)
- Multiplicity: 1
- Dimension: 690
- Dominant: Yes
\(\lambda=(79,78,66)\)
- Multiplicity: 4
- Dimension: 195
- Dominant: No
\(\lambda=(76,75,72)\)
- Multiplicity: 4
- Dimension: 24
- Dominant: No
\(\lambda=(82,79,62)\)
- Multiplicity: 2
- Dimension: 792
- Dominant: No
\(\lambda=(81,73,69)\)
- Multiplicity: 9
- Dimension: 315
- Dominant: No
\(\lambda=(79,77,67)\)
- Multiplicity: 7
- Dimension: 231
- Dominant: No
\(\lambda=(76,74,73)\)
- Multiplicity: 3
- Dimension: 15
- Dominant: No
\(\lambda=(82,78,63)\)
- Multiplicity: 3
- Dimension: 840
- Dominant: No
\(\lambda=(81,72,70)\)
- Multiplicity: 6
- Dimension: 195
- Dominant: No
\(\lambda=(79,76,68)\)
- Multiplicity: 10
- Dimension: 234
- Dominant: No
\(\lambda=(82,77,64)\)
- Multiplicity: 5
- Dimension: 840
- Dominant: No
\(\lambda=(81,71,71)\)
- Multiplicity: 2
- Dimension: 66
- Dominant: No
\(\lambda=(79,75,69)\)
- Multiplicity: 11
- Dimension: 210
- Dominant: No
\(\lambda=(82,76,65)\)
- Multiplicity: 6
- Dimension: 798
- Dominant: No
\(\lambda=(80,80,63)\)
- Multiplicity: 2
- Dimension: 171
- Dominant: No
\(\lambda=(79,74,70)\)
- Multiplicity: 11
- Dimension: 165
- Dominant: No
\(\lambda=(77,77,69)\)
- Multiplicity: 2
- Dimension: 45
- Dominant: No
\(\lambda=(82,75,66)\)
- Multiplicity: 7
- Dimension: 720
- Dominant: No
\(\lambda=(80,79,64)\)
- Multiplicity: 3
- Dimension: 288
- Dominant: No
\(\lambda=(79,73,71)\)
- Multiplicity: 7
- Dimension: 105
- Dominant: No
\(\textbf{a}=(78,66,79)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,78)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,78,65)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,71)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,72,72)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,78)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,79,77)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,64)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,71)\)
- Multiplicity: 927
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,72,77)\)
- Multiplicity: 1046
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,76)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,78,70)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,83)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,79,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,65,77)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,71,70)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,69)\)
- Multiplicity: 166
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,77,63)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,76)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,72,82)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,69)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,80,62)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,78,75)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,76)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,65,82)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,81)\)
- Multiplicity: 106
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,77,68)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,74)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,71,75)\)
- Multiplicity: 927
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,81)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,78,80)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,67)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,74)\)
- Multiplicity: 1390
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,71,80)\)
- Multiplicity: 370
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,79)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,83,66)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,67)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,77,73)\)
- Multiplicity: 1087
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,74)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,64,80)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,79)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,76,66)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,72)\)
- Multiplicity: 370
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,70,73)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,79)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,77,78)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,65)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,83,71)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,72)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,70,78)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,77)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,82,64)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,76,71)\)
- Multiplicity: 983
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,77,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,63,78)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,77)\)
- Multiplicity: 1087
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,83,76)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,69,71)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,70)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,70,83)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,77)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,70)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,82,69)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,78,63)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,76,76)\)
- Multiplicity: 983
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,63,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,82)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,75,69)\)
- Multiplicity: 429
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,81,62)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,75)\)
- Multiplicity: 429
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,69,76)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,82)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,76,81)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,68)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,82,74)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,75)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,69,81)\)
- Multiplicity: 166
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,80)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,81,67)\)
- Multiplicity: 106
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,75,74)\)
- Multiplicity: 1390
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,75)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,62,81)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,80)\)
- Multiplicity: 370
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,82,79)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,74,67)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,73)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,68,74)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,80)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,75,79)\)
- Multiplicity: 429
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,66)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,81,72)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,73)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,68,79)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,78)\)
- Multiplicity: 249
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,80,65)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,74,72)\)
- Multiplicity: 1046
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,78)\)
- Multiplicity: 782
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,81,77)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,83,64)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,71)\)
- Multiplicity: 927
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,78)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,74,77)\)
- Multiplicity: 1046
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,71)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,80,70)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,76,64)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,71,83)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,67,77)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,73,70)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,69)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,79,63)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,77,76)\)
- Multiplicity: 757
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,64,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,74,82)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,76,69)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,82,62)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,80,75)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,70,76)\)
- Multiplicity: 757
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,67,82)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,77,81)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,79,68)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,83,74)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,73,75)\)
- Multiplicity: 1328
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,70,81)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,80,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,72,68)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,82,67)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,76,74)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,66,75)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,63,81)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,73,80)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,75,67)\)
- Multiplicity: 106
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,79,73)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,69,74)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,66,80)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,76,79)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,78,66)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,82,72)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,72,73)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,69,79)\)
- Multiplicity: 429
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,79,78)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,81,65)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,75,72)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,62,79)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,72,78)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,82,77)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,78,71)\)
- Multiplicity: 782
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,68,72)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,65,78)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,75,77)\)
- Multiplicity: 927
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,71,71)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,81,70)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,77,64)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,72,83)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,68,77)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,74,70)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,80,63)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,78,76)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,65,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,75,82)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,69)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,81,75)\)
- Multiplicity: 106
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,76)\)
- Multiplicity: 983
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,68,82)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,81)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,80,68)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,74,75)\)
- Multiplicity: 1390
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,76)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,61,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,81)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,81,80)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,73,68)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,83,67)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,74)\)
- Multiplicity: 1046
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,67,75)\)
- Multiplicity: 106
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,81)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,74,80)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,67)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,80,73)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,74)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,67,80)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,79)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,79,66)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,72)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,73,73)\)
- Multiplicity: 1087
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,79)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,80,78)\)
- Multiplicity: 72
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,82,65)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,72)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,79)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,73,78)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,83,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,75,65)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,79,71)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,72)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,66,78)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,77)\)
- Multiplicity: 757
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,72,71)\)
- Multiplicity: 370
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,70)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,78,64)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,73,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,77)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,70)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,81,63)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,79,76)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,66,83)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,82)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,78,69)\)
- Multiplicity: 529
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,75)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,72,76)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,82)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,79,81)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,71,69)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,68)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,75)\)
- Multiplicity: 1328
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,65,76)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,72,81)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,68)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,80,61)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,78,74)\)
- Multiplicity: 782
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,75)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,65,81)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,80)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,77,67)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,73)\)
- Multiplicity: 166
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,71,74)\)
- Multiplicity: 782
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,80)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,78,79)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,66)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,73)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,71,79)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,78)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,83,65)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,77,72)\)
- Multiplicity: 1046
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,73)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,64,79)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,78)\)
- Multiplicity: 782
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,76,65)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,71)\)
- Multiplicity: 370
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,70,72)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,78)\)
- Multiplicity: 249
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,77,77)\)
- Multiplicity: 564
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,71)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,83,70)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,79,64)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,83)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,70,77)\)
- Multiplicity: 757
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,76)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,76,70)\)
- Multiplicity: 757
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,82,63)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,77,82)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,63,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,69)\)
- Multiplicity: 429
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,83,75)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,76)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,70,82)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,81)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,69)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,82,68)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,76,75)\)
- Multiplicity: 1164
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,76)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,63,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,81)\)
- Multiplicity: 166
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,75,68)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,81,61)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,74)\)
- Multiplicity: 518
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,69,75)\)
- Multiplicity: 429
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,81)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,76,80)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,67)\)
- Multiplicity: 249
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,82,73)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,74)\)
- Multiplicity: 1046
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,69,80)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,79)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,81,66)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,75,73)\)
- Multiplicity: 1328
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,62,80)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,79)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,82,78)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,74,66)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,72)\)
- Multiplicity: 843
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,68,73)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,79)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,75,78)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,77,65)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,81,71)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,72)\)
- Multiplicity: 370
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,68,78)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,77)\)
- Multiplicity: 381
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,80,64)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,74,71)\)
- Multiplicity: 782
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,75,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,77)\)
- Multiplicity: 927
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,81,76)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,70)\)
- Multiplicity: 757
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,83,63)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,68,83)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,77)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,70,70)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,80,69)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,74,76)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,82)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,81,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,73,69)\)
- Multiplicity: 166
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,83,68)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,79,62)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,75)\)
- Multiplicity: 927
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,67,76)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,82)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,74,81)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,68)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,82,61)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,80,74)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,75)\)
- Multiplicity: 670
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,67,81)\)
- Multiplicity: 106
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,80)\)
- Multiplicity: 118
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,79,67)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,73)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,73,74)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,80)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,80,79)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,66)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,73)\)
- Multiplicity: 1266
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,66,74)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,73,79)\)
- Multiplicity: 578
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,66)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,79,72)\)
- Multiplicity: 599
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,73)\)
- Multiplicity: 166
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{30,\lambda}(2,6;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{30,1}(2,6;7)\). 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 \(\beta_{30,\textbf{a}}(2,6;7)\). 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!