Current Betti Table Entry:
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33 |
| 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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? |
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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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33 |
| 0 |
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| 1 |
· |
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 |
\(\lambda=(74,74,69)\)
- Multiplicity: 7
- Dimension: 21
- Dominant: No
\(\lambda=(77,76,64)\)
- Multiplicity: 14
- Dimension: 195
- Dominant: No
\(\lambda=(82,74,61)\)
- Multiplicity: 4
- Dimension: 1449
- Dominant: No
\(\lambda=(81,68,68)\)
- Multiplicity: 2
- Dimension: 105
- Dominant: No
\(\lambda=(80,78,59)\)
- Multiplicity: 3
- Dimension: 690
- Dominant: No
\(\lambda=(79,72,66)\)
- Multiplicity: 31
- Dimension: 420
- Dominant: No
\(\lambda=(74,73,70)\)
- Multiplicity: 10
- Dimension: 24
- Dominant: No
\(\lambda=(77,75,65)\)
- Multiplicity: 25
- Dimension: 231
- Dominant: No
\(\lambda=(82,73,62)\)
- Multiplicity: 6
- Dimension: 1320
- Dominant: No
\(\lambda=(80,77,60)\)
- Multiplicity: 7
- Dimension: 792
- Dominant: No
\(\lambda=(79,71,67)\)
- Multiplicity: 31
- Dimension: 315
- Dominant: No
\(\lambda=(74,72,71)\)
- Multiplicity: 6
- Dimension: 15
- Dominant: No
\(\lambda=(77,74,66)\)
- Multiplicity: 31
- Dimension: 234
- Dominant: No
\(\lambda=(82,72,63)\)
- Multiplicity: 7
- Dimension: 1155
- Dominant: No
\(\lambda=(80,76,61)\)
- Multiplicity: 11
- Dimension: 840
- Dominant: No
\(\lambda=(79,70,68)\)
- Multiplicity: 18
- Dimension: 195
- Dominant: No
\(\lambda=(77,73,67)\)
- Multiplicity: 38
- Dimension: 210
- Dominant: No
\(\lambda=(79,69,69)\)
- Multiplicity: 9
- Dimension: 66
- Dominant: No
\(\lambda=(82,71,64)\)
- Multiplicity: 7
- Dimension: 960
- Dominant: No
\(\lambda=(80,75,62)\)
- Multiplicity: 16
- Dimension: 840
- Dominant: No
\(\lambda=(77,72,68)\)
- Multiplicity: 30
- Dimension: 165
- Dominant: No
\(\lambda=(78,78,61)\)
- Multiplicity: 2
- Dimension: 171
- Dominant: No
\(\lambda=(82,70,65)\)
- Multiplicity: 6
- Dimension: 741
- Dominant: No
\(\lambda=(80,74,63)\)
- Multiplicity: 21
- Dimension: 798
- Dominant: No
\(\lambda=(75,75,67)\)
- Multiplicity: 11
- Dimension: 45
- Dominant: No
\(\lambda=(77,71,69)\)
- Multiplicity: 24
- Dimension: 105
- Dominant: No
\(\lambda=(78,77,62)\)
- Multiplicity: 9
- Dimension: 288
- Dominant: No
\(\lambda=(81,79,57)\)
- Multiplicity: 1
- Dimension: 897
- Dominant: Yes
\(\lambda=(82,69,66)\)
- Multiplicity: 5
- Dimension: 504
- Dominant: No
\(\lambda=(80,73,64)\)
- Multiplicity: 26
- Dimension: 720
- Dominant: No
\(\lambda=(75,74,68)\)
- Multiplicity: 18
- Dimension: 63
- Dominant: No
\(\lambda=(77,70,70)\)
- Multiplicity: 7
- Dimension: 36
- Dominant: No
\(\lambda=(78,76,63)\)
- Multiplicity: 16
- Dimension: 357
- Dominant: No
\(\lambda=(81,78,58)\)
- Multiplicity: 1
- Dimension: 1050
- Dominant: No
\(\lambda=(82,68,67)\)
- Multiplicity: 3
- Dimension: 255
- Dominant: No
\(\lambda=(80,72,65)\)
- Multiplicity: 25
- Dimension: 612
- Dominant: No
\(\lambda=(75,73,69)\)
- Multiplicity: 21
- Dimension: 60
- Dominant: No
\(\lambda=(78,75,64)\)
- Multiplicity: 25
- Dimension: 384
- Dominant: No
\(\lambda=(81,77,59)\)
- Multiplicity: 4
- Dimension: 1140
- Dominant: No
\(\lambda=(83,73,61)\)
- Multiplicity: 1
- Dimension: 1716
- Dominant: Yes
\(\lambda=(80,71,66)\)
- Multiplicity: 24
- Dimension: 480
- Dominant: No
\(\lambda=(75,72,70)\)
- Multiplicity: 14
- Dimension: 42
- Dominant: No
\(\lambda=(78,74,65)\)
- Multiplicity: 32
- Dimension: 375
- Dominant: No
\(\lambda=(81,76,60)\)
- Multiplicity: 5
- Dimension: 1173
- Dominant: No
\(\lambda=(80,70,67)\)
- Multiplicity: 19
- Dimension: 330
- Dominant: No
\(\lambda=(75,71,71)\)
- Multiplicity: 6
- Dimension: 15
- Dominant: No
\(\lambda=(78,73,66)\)
- Multiplicity: 37
- Dimension: 336
- Dominant: No
\(\lambda=(81,75,61)\)
- Multiplicity: 9
- Dimension: 1155
- Dominant: No
\(\lambda=(83,71,63)\)
- Multiplicity: 1
- Dimension: 1287
- Dominant: No
\(\lambda=(80,69,68)\)
- Multiplicity: 10
- Dimension: 168
- Dominant: No
\(\lambda=(79,79,59)\)
- Multiplicity: 2
- Dimension: 231
- Dominant: No
\(\lambda=(76,76,65)\)
- Multiplicity: 8
- Dimension: 78
- Dominant: No
\(\lambda=(78,72,67)\)
- Multiplicity: 35
- Dimension: 273
- Dominant: No
\(\lambda=(81,74,62)\)
- Multiplicity: 11
- Dimension: 1092
- Dominant: No
\(\lambda=(83,70,64)\)
- Multiplicity: 1
- Dimension: 1029
- Dominant: No
\(\lambda=(79,78,60)\)
- Multiplicity: 4
- Dimension: 399
- Dominant: No
\(\lambda=(73,73,71)\)
- Multiplicity: 3
- Dimension: 6
- Dominant: No
\(\lambda=(76,75,66)\)
- Multiplicity: 19
- Dimension: 120
- Dominant: No
\(\lambda=(78,71,68)\)
- Multiplicity: 28
- Dimension: 192
- Dominant: No
\(\lambda=(81,73,63)\)
- Multiplicity: 16
- Dimension: 990
- Dominant: No
\(\lambda=(83,69,65)\)
- Multiplicity: 1
- Dimension: 750
- Dominant: No
\(\lambda=(79,77,61)\)
- Multiplicity: 10
- Dimension: 510
- Dominant: No
\(\lambda=(73,72,72)\)
- Multiplicity: 1
- Dimension: 3
- Dominant: No
\(\lambda=(76,74,67)\)
- Multiplicity: 27
- Dimension: 132
- Dominant: No
\(\lambda=(78,70,69)\)
- Multiplicity: 15
- Dimension: 99
- Dominant: No
\(\lambda=(81,72,64)\)
- Multiplicity: 15
- Dimension: 855
- Dominant: No
\(\lambda=(79,76,62)\)
- Multiplicity: 14
- Dimension: 570
- Dominant: No
\(\lambda=(76,73,68)\)
- Multiplicity: 30
- Dimension: 120
- Dominant: No
\(\lambda=(81,71,65)\)
- Multiplicity: 17
- Dimension: 693
- Dominant: No
\(\lambda=(82,77,58)\)
- Multiplicity: 1
- Dimension: 1560
- Dominant: Yes
\(\lambda=(83,67,67)\)
- Multiplicity: 1
- Dimension: 153
- Dominant: No
\(\lambda=(79,75,63)\)
- Multiplicity: 23
- Dimension: 585
- Dominant: No
\(\lambda=(76,72,69)\)
- Multiplicity: 24
- Dimension: 90
- Dominant: No
\(\lambda=(82,76,59)\)
- Multiplicity: 2
- Dimension: 1575
- Dominant: No
\(\lambda=(81,70,66)\)
- Multiplicity: 12
- Dimension: 510
- Dominant: No
\(\lambda=(79,74,64)\)
- Multiplicity: 28
- Dimension: 561
- Dominant: No
\(\lambda=(76,71,70)\)
- Multiplicity: 14
- Dimension: 48
- Dominant: No
\(\lambda=(77,77,63)\)
- Multiplicity: 7
- Dimension: 120
- Dominant: No
\(\lambda=(82,75,60)\)
- Multiplicity: 3
- Dimension: 1536
- Dominant: No
\(\lambda=(81,69,67)\)
- Multiplicity: 11
- Dimension: 312
- Dominant: No
\(\lambda=(80,79,58)\)
- Multiplicity: 2
- Dimension: 528
- Dominant: No
\(\lambda=(79,73,65)\)
- Multiplicity: 35
- Dimension: 504
- Dominant: No
\(\textbf{a}=(70,82,65)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,72)\)
- Multiplicity: 3168
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,79)\)
- Multiplicity: 996
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,58)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,65)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,72)\)
- Multiplicity: 3168
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,79)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,70)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,72)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,77)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,70)\)
- Multiplicity: 4086
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,63)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,77)\)
- Multiplicity: 2468
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,70)\)
- Multiplicity: 996
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,63)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,75)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,77)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,82)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,68)\)
- Multiplicity: 205
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,75)\)
- Multiplicity: 2365
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,82)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,68)\)
- Multiplicity: 3065
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,61)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,75)\)
- Multiplicity: 3065
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,80)\)
- Multiplicity: 124
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,68)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,61)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,73)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,75)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,80)\)
- Multiplicity: 516
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,66)\)
- Multiplicity: 425
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,73)\)
- Multiplicity: 4485
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,80)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,59)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,66)\)
- Multiplicity: 1151
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,73)\)
- Multiplicity: 1890
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,78)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,71)\)
- Multiplicity: 425
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,78)\)
- Multiplicity: 878
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,71)\)
- Multiplicity: 5047
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,64)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,78)\)
- Multiplicity: 1403
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,71)\)
- Multiplicity: 425
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,64)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,76)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,78)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,67,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,69)\)
- Multiplicity: 1032
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,76)\)
- Multiplicity: 2762
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,69)\)
- Multiplicity: 3168
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,62)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,76)\)
- Multiplicity: 1669
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,73,81)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,69)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,74)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,59,76)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,66,81)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,67)\)
- Multiplicity: 1403
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,74)\)
- Multiplicity: 4824
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,59,81)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,79,79)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,67)\)
- Multiplicity: 908
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,60)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,74)\)
- Multiplicity: 878
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,72)\)
- Multiplicity: 1403
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,72,79)\)
- Multiplicity: 769
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,65)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,72)\)
- Multiplicity: 4824
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,65,79)\)
- Multiplicity: 617
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,65)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,72)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,78,77)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,58,79)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,77,70)\)
- Multiplicity: 2546
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,63)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,71,77)\)
- Multiplicity: 2468
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,70,70)\)
- Multiplicity: 2546
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,76,63)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,64,77)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,71,82)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,83,68)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,77,75)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,64,82)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,76,68)\)
- Multiplicity: 2762
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,82,61)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,70,75)\)
- Multiplicity: 4086
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,77,80)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,69,68)\)
- Multiplicity: 516
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,75,61)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,83,73)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,63,75)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,70,80)\)
- Multiplicity: 484
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,82,66)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,76,73)\)
- Multiplicity: 2762
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,63,80)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,75,66)\)
- Multiplicity: 1669
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,81,59)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,69,73)\)
- Multiplicity: 3681
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,68,66)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,82,71)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,62,73)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,76,78)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,75,71)\)
- Multiplicity: 4238
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,81,64)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,69,78)\)
- Multiplicity: 1706
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,68,71)\)
- Multiplicity: 1599
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,80,57)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,74,64)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,82,76)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,62,78)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,69,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,81,69)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,75,76)\)
- Multiplicity: 1669
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,62,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,74,69)\)
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- Error: 0
\(\textbf{a}=(63,72,82)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,70)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,75)\)
- Multiplicity: 618
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,58,77)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,65,82)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,68)\)
- Multiplicity: 2229
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,83,61)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,75)\)
- Multiplicity: 4238
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,58,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,78,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,68)\)
- Multiplicity: 996
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,61)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,75)\)
- Multiplicity: 618
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,71,80)\)
- Multiplicity: 425
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,66)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,73)\)
- Multiplicity: 1890
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,64,80)\)
- Multiplicity: 271
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,66)\)
- Multiplicity: 1669
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,82,59)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,73)\)
- Multiplicity: 4485
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,57,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,66)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,83,71)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,73)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,77,78)\)
- Multiplicity: 232
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,64)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,71)\)
- Multiplicity: 3392
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,70,78)\)
- Multiplicity: 1706
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,71)\)
- Multiplicity: 2468
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,81,57)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,64)\)
- Multiplicity: 618
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,63,78)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,70,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,69)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,76)\)
- Multiplicity: 1149
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,63,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,69)\)
- Multiplicity: 3681
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,62)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,76)\)
- Multiplicity: 3168
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,81)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,69)\)
- Multiplicity: 516
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,62)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,74)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,76)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,81)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,67)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,74)\)
- Multiplicity: 3065
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,81)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,67)\)
- Multiplicity: 2234
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,60)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,74)\)
- Multiplicity: 3065
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,67)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,72)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,74)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,75,79)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,65)\)
- Multiplicity: 351
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,72)\)
- Multiplicity: 4824
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,68,79)\)
- Multiplicity: 996
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,79,58)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,65)\)
- Multiplicity: 617
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,72)\)
- Multiplicity: 1403
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,77)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,61,79)\)
- Multiplicity: 109
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,70)\)
- Multiplicity: 484
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,77)\)
- Multiplicity: 1479
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,70)\)
- Multiplicity: 4485
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,63)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,77)\)
- Multiplicity: 1890
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,82)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,70)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,63)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,75)\)
- Multiplicity: 124
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,77)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,82)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,68)\)
- Multiplicity: 996
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,75)\)
- Multiplicity: 3681
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,82)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,68)\)
- Multiplicity: 2229
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,61)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,75)\)
- Multiplicity: 1669
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,80)\)
- Multiplicity: 271
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,73)\)
- Multiplicity: 617
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,80)\)
- Multiplicity: 425
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,66)\)
- Multiplicity: 1151
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,73)\)
- Multiplicity: 5235
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,77,59)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,66)\)
- Multiplicity: 425
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,73)\)
- Multiplicity: 617
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,78)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,71)\)
- Multiplicity: 1599
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,78)\)
- Multiplicity: 1403
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,71)\)
- Multiplicity: 4238
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,64)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,78)\)
- Multiplicity: 878
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,71)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,70,64)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,76)\)
- Multiplicity: 398
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,78)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,69)\)
- Multiplicity: 2468
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,83,62)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,76)\)
- Multiplicity: 3392
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,69)\)
- Multiplicity: 1706
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,62)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,76)\)
- Multiplicity: 718
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,81)\)
- Multiplicity: 154
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,67)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,74)\)
- Multiplicity: 1479
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,81)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,67)\)
- Multiplicity: 2234
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,60)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,74)\)
- Multiplicity: 4485
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,67)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,60)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,72)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,74)\)
- Multiplicity: 191
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,79)\)
- Multiplicity: 109
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{29,\lambda}(2,0;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{29,2}(2,0;7)\). 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!
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{29,\textbf{a}}(2,0;7)\). 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!