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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? |
? |
? |
(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 |
\(\lambda=(71,71,68)\)
- Multiplicity: 14
- Dimension: 10
- Dominant: No
\(\lambda=(82,73,55)\)
- Multiplicity: 1
- Dimension: 2755
- Dominant: Yes
\(\lambda=(81,67,62)\)
- Multiplicity: 16
- Dimension: 945
- Dominant: No
\(\lambda=(77,75,58)\)
- Multiplicity: 30
- Dimension: 567
- Dominant: No
\(\lambda=(76,69,65)\)
- Multiplicity: 113
- Dimension: 260
- Dominant: No
\(\lambda=(79,70,61)\)
- Multiplicity: 67
- Dimension: 1000
- Dominant: No
\(\lambda=(80,76,54)\)
- Multiplicity: 3
- Dimension: 1610
- Dominant: No
\(\lambda=(74,72,64)\)
- Multiplicity: 87
- Dimension: 162
- Dominant: No
\(\lambda=(82,71,57)\)
- Multiplicity: 2
- Dimension: 2430
- Dominant: No
\(\lambda=(81,65,64)\)
- Multiplicity: 6
- Dimension: 323
- Dominant: No
\(\lambda=(77,73,60)\)
- Multiplicity: 75
- Dimension: 665
- Dominant: No
\(\lambda=(76,67,67)\)
- Multiplicity: 31
- Dimension: 55
- Dominant: No
\(\lambda=(79,68,63)\)
- Multiplicity: 62
- Dimension: 648
- Dominant: No
\(\lambda=(80,74,56)\)
- Multiplicity: 10
- Dimension: 1729
- Dominant: No
\(\lambda=(74,70,66)\)
- Multiplicity: 94
- Dimension: 125
- Dominant: No
\(\lambda=(82,69,59)\)
- Multiplicity: 3
- Dimension: 1925
- Dominant: No
\(\lambda=(78,77,55)\)
- Multiplicity: 4
- Dimension: 575
- Dominant: No
\(\lambda=(77,71,62)\)
- Multiplicity: 115
- Dimension: 595
- Dominant: No
\(\lambda=(74,68,68)\)
- Multiplicity: 22
- Dimension: 28
- Dominant: No
\(\lambda=(80,72,58)\)
- Multiplicity: 24
- Dimension: 1620
- Dominant: No
\(\lambda=(79,66,65)\)
- Multiplicity: 24
- Dimension: 224
- Dominant: No
\(\lambda=(75,74,61)\)
- Multiplicity: 47
- Dimension: 224
- Dominant: No
\(\lambda=(72,71,67)\)
- Multiplicity: 38
- Dimension: 35
- Dominant: No
\(\lambda=(82,67,61)\)
- Multiplicity: 4
- Dimension: 1288
- Dominant: No
\(\lambda=(78,75,57)\)
- Multiplicity: 21
- Dimension: 874
- Dominant: No
\(\lambda=(77,69,64)\)
- Multiplicity: 112
- Dimension: 405
- Dominant: No
\(\lambda=(80,70,60)\)
- Multiplicity: 36
- Dimension: 1331
- Dominant: No
\(\lambda=(81,76,53)\)
- Multiplicity: 1
- Dimension: 2160
- Dominant: Yes
\(\lambda=(75,72,63)\)
- Multiplicity: 109
- Dimension: 280
- Dominant: No
\(\lambda=(72,69,69)\)
- Multiplicity: 14
- Dimension: 10
- Dominant: No
\(\lambda=(79,79,52)\)
- Multiplicity: 1
- Dimension: 406
- Dominant: Yes
\(\lambda=(82,65,63)\)
- Multiplicity: 2
- Dimension: 567
- Dominant: No
\(\lambda=(78,73,59)\)
- Multiplicity: 55
- Dimension: 945
- Dominant: No
\(\lambda=(77,67,66)\)
- Multiplicity: 48
- Dimension: 143
- Dominant: No
\(\lambda=(80,68,62)\)
- Multiplicity: 37
- Dimension: 910
- Dominant: No
\(\lambda=(81,74,55)\)
- Multiplicity: 3
- Dimension: 2240
- Dominant: No
\(\lambda=(76,76,58)\)
- Multiplicity: 9
- Dimension: 190
- Dominant: No
\(\lambda=(75,70,65)\)
- Multiplicity: 121
- Dimension: 216
- Dominant: No
\(\lambda=(73,73,64)\)
- Multiplicity: 38
- Dimension: 55
- Dominant: No
\(\lambda=(79,77,54)\)
- Multiplicity: 4
- Dimension: 972
- Dominant: No
\(\lambda=(78,71,61)\)
- Multiplicity: 88
- Dimension: 836
- Dominant: No
\(\lambda=(70,70,70)\)
- Multiplicity: 1
- Dimension: 1
- Dominant: No
\(\lambda=(80,66,64)\)
- Multiplicity: 20
- Dimension: 405
- Dominant: No
\(\lambda=(81,72,57)\)
- Multiplicity: 9
- Dimension: 2080
- Dominant: No
\(\lambda=(76,74,60)\)
- Multiplicity: 50
- Dimension: 405
- Dominant: No
\(\lambda=(75,68,67)\)
- Multiplicity: 55
- Dimension: 80
- Dominant: No
\(\lambda=(73,71,66)\)
- Multiplicity: 74
- Dimension: 81
- Dominant: No
\(\lambda=(79,75,56)\)
- Multiplicity: 15
- Dimension: 1250
- Dominant: No
\(\lambda=(78,69,63)\)
- Multiplicity: 95
- Dimension: 595
- Dominant: No
\(\lambda=(81,70,59)\)
- Multiplicity: 15
- Dimension: 1728
- Dominant: No
\(\lambda=(76,72,62)\)
- Multiplicity: 106
- Dimension: 440
- Dominant: No
\(\lambda=(73,69,68)\)
- Multiplicity: 38
- Dimension: 35
- Dominant: No
\(\lambda=(79,73,58)\)
- Multiplicity: 37
- Dimension: 1288
- Dominant: No
\(\lambda=(78,67,65)\)
- Multiplicity: 54
- Dimension: 270
- Dominant: No
\(\lambda=(81,68,61)\)
- Multiplicity: 17
- Dimension: 1232
- Dominant: No
\(\lambda=(77,76,57)\)
- Multiplicity: 14
- Dimension: 440
- Dominant: No
\(\lambda=(76,70,64)\)
- Multiplicity: 126
- Dimension: 343
- Dominant: No
\(\lambda=(79,71,60)\)
- Multiplicity: 60
- Dimension: 1134
- Dominant: No
\(\lambda=(80,77,53)\)
- Multiplicity: 1
- Dimension: 1450
- Dominant: No
\(\lambda=(74,73,63)\)
- Multiplicity: 65
- Dimension: 143
- Dominant: No
\(\lambda=(71,70,69)\)
- Multiplicity: 11
- Dimension: 8
- Dominant: No
\(\lambda=(82,72,56)\)
- Multiplicity: 1
- Dimension: 2618
- Dominant: No
\(\lambda=(81,66,63)\)
- Multiplicity: 12
- Dimension: 640
- Dominant: No
\(\lambda=(77,74,59)\)
- Multiplicity: 48
- Dimension: 640
- Dominant: No
\(\lambda=(76,68,66)\)
- Multiplicity: 74
- Dimension: 162
- Dominant: No
\(\lambda=(79,69,62)\)
- Multiplicity: 69
- Dimension: 836
- Dominant: No
\(\lambda=(80,75,55)\)
- Multiplicity: 6
- Dimension: 1701
- Dominant: No
\(\lambda=(74,71,65)\)
- Multiplicity: 105
- Dimension: 154
- Dominant: No
\(\lambda=(82,70,58)\)
- Multiplicity: 3
- Dimension: 2197
- Dominant: No
\(\lambda=(77,72,61)\)
- Multiplicity: 96
- Dimension: 648
- Dominant: No
\(\lambda=(79,67,64)\)
- Multiplicity: 48
- Dimension: 442
- Dominant: No
\(\lambda=(80,73,57)\)
- Multiplicity: 17
- Dimension: 1700
- Dominant: No
\(\lambda=(75,75,60)\)
- Multiplicity: 22
- Dimension: 136
- Dominant: No
\(\lambda=(74,69,67)\)
- Multiplicity: 72
- Dimension: 81
- Dominant: No
\(\lambda=(72,72,66)\)
- Multiplicity: 23
- Dimension: 28
- Dominant: No
\(\lambda=(82,68,60)\)
- Multiplicity: 4
- Dimension: 1620
- Dominant: No
\(\lambda=(78,76,56)\)
- Multiplicity: 10
- Dimension: 756
- Dominant: No
\(\lambda=(77,70,63)\)
- Multiplicity: 120
- Dimension: 512
- Dominant: No
\(\lambda=(80,71,59)\)
- Multiplicity: 31
- Dimension: 1495
- Dominant: No
\(\lambda=(75,73,62)\)
- Multiplicity: 84
- Dimension: 270
- Dominant: No
\(\lambda=(72,70,68)\)
- Multiplicity: 30
- Dimension: 27
- Dominant: No
\(\lambda=(82,66,62)\)
- Multiplicity: 3
- Dimension: 935
- Dominant: No
\(\lambda=(78,74,58)\)
- Multiplicity: 34
- Dimension: 935
- Dominant: No
\(\lambda=(77,68,65)\)
- Multiplicity: 85
- Dimension: 280
- Dominant: No
\(\lambda=(80,69,61)\)
- Multiplicity: 39
- Dimension: 1134
- Dominant: No
\(\lambda=(81,75,54)\)
- Multiplicity: 2
- Dimension: 2233
- Dominant: No
\(\lambda=(75,71,64)\)
- Multiplicity: 126
- Dimension: 260
- Dominant: No
\(\lambda=(79,78,53)\)
- Multiplicity: 1
- Dimension: 728
- Dominant: No
\(\lambda=(82,64,64)\)
- Multiplicity: 1
- Dimension: 190
- Dominant: No
\(\lambda=(78,72,60)\)
- Multiplicity: 71
- Dimension: 910
- Dominant: No
\(\lambda=(80,67,63)\)
- Multiplicity: 32
- Dimension: 665
- Dominant: No
\(\lambda=(81,73,56)\)
- Multiplicity: 6
- Dimension: 2187
- Dominant: No
\(\lambda=(76,75,59)\)
- Multiplicity: 28
- Dimension: 323
- Dominant: No
\(\lambda=(75,69,66)\)
- Multiplicity: 99
- Dimension: 154
- Dominant: No
\(\lambda=(73,72,65)\)
- Multiplicity: 60
- Dimension: 80
- Dominant: No
\(\lambda=(79,76,55)\)
- Multiplicity: 8
- Dimension: 1144
- Dominant: No
\(\lambda=(78,70,62)\)
- Multiplicity: 94
- Dimension: 729
- Dominant: No
\(\lambda=(80,65,65)\)
- Multiplicity: 7
- Dimension: 136
- Dominant: No
\(\lambda=(81,71,58)\)
- Multiplicity: 12
- Dimension: 1925
- Dominant: No
\(\lambda=(76,73,61)\)
- Multiplicity: 84
- Dimension: 442
- Dominant: No
\(\lambda=(73,70,67)\)
- Multiplicity: 65
- Dimension: 64
- Dominant: No
\(\lambda=(79,74,57)\)
- Multiplicity: 23
- Dimension: 1296
- Dominant: No
\(\lambda=(78,68,64)\)
- Multiplicity: 77
- Dimension: 440
- Dominant: No
\(\lambda=(81,69,60)\)
- Multiplicity: 17
- Dimension: 1495
- Dominant: No
\(\lambda=(77,77,56)\)
- Multiplicity: 6
- Dimension: 253
- Dominant: No
\(\lambda=(76,71,63)\)
- Multiplicity: 128
- Dimension: 405
- Dominant: No
\(\lambda=(79,72,59)\)
- Multiplicity: 48
- Dimension: 1232
- Dominant: No
\(\lambda=(78,66,66)\)
- Multiplicity: 17
- Dimension: 91
- Dominant: No
\(\lambda=(74,74,62)\)
- Multiplicity: 26
- Dimension: 91
- Dominant: No
\(\textbf{a}=(74,57,79)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,77,77)\)
- Multiplicity: 130
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,65)\)
- Multiplicity: 7049
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,58)\)
- Multiplicity: 538
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,72)\)
- Multiplicity: 6116
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,77)\)
- Multiplicity: 3573
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,63)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,70)\)
- Multiplicity: 6091
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,56,72)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,77)\)
- Multiplicity: 3573
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,63)\)
- Multiplicity: 6116
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,56)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,70)\)
- Multiplicity: 22433
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,70,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,56,77)\)
- Multiplicity: 130
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,75)\)
- Multiplicity: 1067
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,63)\)
- Multiplicity: 1201
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,56)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,68)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,70)\)
- Multiplicity: 1835
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,63,82)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,75)\)
- Multiplicity: 10536
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,61)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,68)\)
- Multiplicity: 11180
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,56,82)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,76,80)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,75)\)
- Multiplicity: 4469
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,61)\)
- Multiplicity: 3023
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,54)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,68)\)
- Multiplicity: 14791
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,82,73)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,69,80)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,55,75)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,61)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,66)\)
- Multiplicity: 154
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,68)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,73)\)
- Multiplicity: 4469
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,62,80)\)
- Multiplicity: 437
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,66)\)
- Multiplicity: 13095
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,59)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,73)\)
- Multiplicity: 18003
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,55,80)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,75,78)\)
- Multiplicity: 231
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,66)\)
- Multiplicity: 5037
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,52)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,59)\)
- Multiplicity: 677
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,71)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,73)\)
- Multiplicity: 2684
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,68,78)\)
- Multiplicity: 2588
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,64)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,71)\)
- Multiplicity: 11238
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,61,78)\)
- Multiplicity: 1411
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,81,76)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,64)\)
- Multiplicity: 9493
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,57)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,71)\)
- Multiplicity: 18326
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,54,78)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,74,76)\)
- Multiplicity: 1762
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,64)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,57)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,69)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,71)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,67,76)\)
- Multiplicity: 7916
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,62)\)
- Multiplicity: 1012
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,69)\)
- Multiplicity: 18003
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,74,81)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,60,76)\)
- Multiplicity: 1762
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,80,74)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,62)\)
- Multiplicity: 3771
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,55)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,69)\)
- Multiplicity: 10536
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,67,81)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,53,76)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,73,74)\)
- Multiplicity: 6781
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,67)\)
- Multiplicity: 1345
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,59,69)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,60,81)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,66,74)\)
- Multiplicity: 13095
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,60)\)
- Multiplicity: 1013
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,67)\)
- Multiplicity: 18326
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,53,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,73,79)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,53)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,60)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,67)\)
- Multiplicity: 2816
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,79,72)\)
- Multiplicity: 415
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,59,74)\)
- Multiplicity: 920
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,66,79)\)
- Multiplicity: 1419
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,65)\)
- Multiplicity: 2816
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\(\textbf{a}=(80,60,70)\)
- Multiplicity: 272
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,61,82)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,75)\)
- Multiplicity: 11180
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,61)\)
- Multiplicity: 803
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,68)\)
- Multiplicity: 18003
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,74,80)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,75)\)
- Multiplicity: 1886
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,54)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,61)\)
- Multiplicity: 2094
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,68)\)
- Multiplicity: 7683
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,73)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,67,80)\)
- Multiplicity: 506
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,66)\)
- Multiplicity: 1419
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,73)\)
- Multiplicity: 9493
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,60,80)\)
- Multiplicity: 272
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,66)\)
- Multiplicity: 15543
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,59)\)
- Multiplicity: 677
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,73)\)
- Multiplicity: 14909
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,53,80)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,73,78)\)
- Multiplicity: 677
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,66)\)
- Multiplicity: 1419
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,59)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,71)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,73)\)
- Multiplicity: 677
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,66,78)\)
- Multiplicity: 2892
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,64)\)
- Multiplicity: 2588
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,71)\)
- Multiplicity: 18326
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,59,78)\)
- Multiplicity: 677
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,79,76)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,64)\)
- Multiplicity: 7815
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,57)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,71)\)
- Multiplicity: 11238
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,76)\)
- Multiplicity: 3771
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,64)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,69)\)
- Multiplicity: 2247
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,71)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,76)\)
- Multiplicity: 7049
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,62)\)
- Multiplicity: 2826
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,69)\)
- Multiplicity: 22433
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,72,81)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,76)\)
- Multiplicity: 583
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,74)\)
- Multiplicity: 413
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,62)\)
- Multiplicity: 1835
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,55)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,69)\)
- Multiplicity: 4249
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,65,81)\)
- Multiplicity: 163
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,74)\)
- Multiplicity: 11238
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,67)\)
- Multiplicity: 5037
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,58,81)\)
- Multiplicity: 44
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,78,79)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,74)\)
- Multiplicity: 9031
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,60)\)
- Multiplicity: 1762
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,67)\)
- Multiplicity: 16913
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,71,79)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,60)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,67)\)
- Multiplicity: 506
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,72)\)
- Multiplicity: 2094
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,74)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,64,79)\)
- Multiplicity: 1345
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,65)\)
- Multiplicity: 7049
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,58)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,72)\)
- Multiplicity: 20187
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{28,\lambda}(2,0;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{28,2}(2,0;7)\). 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 \(\beta_{28,\textbf{a}}(2,0;7)\). 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!