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) |
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| 0 |
1 |
6 |
36 |
66 |
95 |
128 |
158 |
193 |
224 |
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280 |
305 |
327 |
344 |
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149 |
118 |
89 |
59 |
32 |
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\(\lambda=(74,74,68)\)
- Multiplicity: 11
- Dimension: 28
- Dominant: No
\(\lambda=(76,70,70)\)
- Multiplicity: 9
- Dimension: 28
- Dominant: No
\(\lambda=(77,76,63)\)
- Multiplicity: 19
- Dimension: 224
- Dominant: No
\(\lambda=(79,72,65)\)
- Multiplicity: 46
- Dimension: 512
- Dominant: No
\(\lambda=(82,74,60)\)
- Multiplicity: 5
- Dimension: 1620
- Dominant: No
\(\lambda=(81,68,67)\)
- Multiplicity: 9
- Dimension: 224
- Dominant: No
\(\lambda=(80,78,58)\)
- Multiplicity: 3
- Dimension: 756
- Dominant: No
\(\lambda=(74,73,69)\)
- Multiplicity: 18
- Dimension: 35
- Dominant: No
\(\lambda=(77,75,64)\)
- Multiplicity: 33
- Dimension: 270
- Dominant: No
\(\lambda=(79,71,66)\)
- Multiplicity: 44
- Dimension: 405
- Dominant: No
\(\lambda=(82,73,61)\)
- Multiplicity: 8
- Dimension: 1495
- Dominant: No
\(\lambda=(80,77,59)\)
- Multiplicity: 8
- Dimension: 874
- Dominant: No
\(\lambda=(74,72,70)\)
- Multiplicity: 14
- Dimension: 27
- Dominant: No
\(\lambda=(77,74,65)\)
- Multiplicity: 44
- Dimension: 280
- Dominant: No
\(\lambda=(79,70,67)\)
- Multiplicity: 34
- Dimension: 280
- Dominant: No
\(\lambda=(82,72,62)\)
- Multiplicity: 9
- Dimension: 1331
- Dominant: No
\(\lambda=(80,76,60)\)
- Multiplicity: 12
- Dimension: 935
- Dominant: No
\(\lambda=(74,71,71)\)
- Multiplicity: 6
- Dimension: 10
- Dominant: No
\(\lambda=(77,73,66)\)
- Multiplicity: 53
- Dimension: 260
- Dominant: No
\(\lambda=(79,69,68)\)
- Multiplicity: 19
- Dimension: 143
- Dominant: No
\(\lambda=(82,71,63)\)
- Multiplicity: 11
- Dimension: 1134
- Dominant: No
\(\lambda=(80,75,61)\)
- Multiplicity: 20
- Dimension: 945
- Dominant: No
\(\lambda=(77,72,67)\)
- Multiplicity: 51
- Dimension: 216
- Dominant: No
\(\lambda=(78,78,60)\)
- Multiplicity: 2
- Dimension: 190
- Dominant: No
\(\lambda=(82,70,64)\)
- Multiplicity: 9
- Dimension: 910
- Dominant: No
\(\lambda=(80,74,62)\)
- Multiplicity: 25
- Dimension: 910
- Dominant: No
\(\lambda=(75,75,66)\)
- Multiplicity: 15
- Dimension: 55
- Dominant: No
\(\lambda=(77,71,68)\)
- Multiplicity: 41
- Dimension: 154
- Dominant: No
\(\lambda=(78,77,61)\)
- Multiplicity: 11
- Dimension: 323
- Dominant: No
\(\lambda=(81,79,56)\)
- Multiplicity: 1
- Dimension: 972
- Dominant: Yes
\(\lambda=(82,69,65)\)
- Multiplicity: 9
- Dimension: 665
- Dominant: No
\(\lambda=(80,73,63)\)
- Multiplicity: 34
- Dimension: 836
- Dominant: No
\(\lambda=(75,74,67)\)
- Multiplicity: 27
- Dimension: 80
- Dominant: No
\(\lambda=(77,70,69)\)
- Multiplicity: 23
- Dimension: 80
- Dominant: No
\(\lambda=(78,76,62)\)
- Multiplicity: 19
- Dimension: 405
- Dominant: No
\(\lambda=(81,78,57)\)
- Multiplicity: 1
- Dimension: 1144
- Dominant: No
\(\lambda=(82,68,66)\)
- Multiplicity: 5
- Dimension: 405
- Dominant: No
\(\lambda=(80,72,64)\)
- Multiplicity: 34
- Dimension: 729
- Dominant: No
\(\lambda=(75,73,68)\)
- Multiplicity: 33
- Dimension: 81
- Dominant: No
\(\lambda=(78,75,63)\)
- Multiplicity: 33
- Dimension: 442
- Dominant: No
\(\lambda=(81,77,58)\)
- Multiplicity: 4
- Dimension: 1250
- Dominant: No
\(\lambda=(82,67,67)\)
- Multiplicity: 3
- Dimension: 136
- Dominant: No
\(\lambda=(83,73,60)\)
- Multiplicity: 1
- Dimension: 1925
- Dominant: Yes
\(\lambda=(80,71,65)\)
- Multiplicity: 36
- Dimension: 595
- Dominant: No
\(\lambda=(75,72,69)\)
- Multiplicity: 28
- Dimension: 64
- Dominant: No
\(\lambda=(78,74,64)\)
- Multiplicity: 42
- Dimension: 440
- Dominant: No
\(\lambda=(81,76,59)\)
- Multiplicity: 6
- Dimension: 1296
- Dominant: No
\(\lambda=(83,72,61)\)
- Multiplicity: 1
- Dimension: 1728
- Dominant: No
\(\lambda=(80,70,66)\)
- Multiplicity: 28
- Dimension: 440
- Dominant: No
\(\lambda=(75,71,70)\)
- Multiplicity: 17
- Dimension: 35
- Dominant: No
\(\lambda=(78,73,65)\)
- Multiplicity: 53
- Dimension: 405
- Dominant: No
\(\lambda=(81,75,60)\)
- Multiplicity: 10
- Dimension: 1288
- Dominant: No
\(\lambda=(83,71,62)\)
- Multiplicity: 1
- Dimension: 1495
- Dominant: No
\(\lambda=(80,69,67)\)
- Multiplicity: 22
- Dimension: 270
- Dominant: No
\(\lambda=(79,79,58)\)
- Multiplicity: 2
- Dimension: 253
- Dominant: No
\(\lambda=(76,76,64)\)
- Multiplicity: 10
- Dimension: 91
- Dominant: No
\(\lambda=(78,72,66)\)
- Multiplicity: 50
- Dimension: 343
- Dominant: No
\(\lambda=(81,74,61)\)
- Multiplicity: 14
- Dimension: 1232
- Dominant: No
\(\lambda=(83,70,63)\)
- Multiplicity: 2
- Dimension: 1232
- Dominant: No
\(\lambda=(80,68,68)\)
- Multiplicity: 5
- Dimension: 91
- Dominant: No
\(\lambda=(79,78,59)\)
- Multiplicity: 4
- Dimension: 440
- Dominant: No
\(\lambda=(73,73,70)\)
- Multiplicity: 6
- Dimension: 10
- Dominant: No
\(\lambda=(76,75,65)\)
- Multiplicity: 27
- Dimension: 143
- Dominant: No
\(\lambda=(78,71,67)\)
- Multiplicity: 49
- Dimension: 260
- Dominant: No
\(\lambda=(83,69,64)\)
- Multiplicity: 2
- Dimension: 945
- Dominant: No
\(\lambda=(81,73,62)\)
- Multiplicity: 19
- Dimension: 1134
- Dominant: No
\(\lambda=(79,77,60)\)
- Multiplicity: 11
- Dimension: 567
- Dominant: No
\(\lambda=(73,72,71)\)
- Multiplicity: 5
- Dimension: 8
- Dominant: No
\(\lambda=(76,74,66)\)
- Multiplicity: 37
- Dimension: 162
- Dominant: No
\(\lambda=(78,70,68)\)
- Multiplicity: 29
- Dimension: 162
- Dominant: No
\(\lambda=(83,68,65)\)
- Multiplicity: 1
- Dimension: 640
- Dominant: No
\(\lambda=(81,72,63)\)
- Multiplicity: 21
- Dimension: 1000
- Dominant: No
\(\lambda=(79,76,61)\)
- Multiplicity: 17
- Dimension: 640
- Dominant: No
\(\lambda=(76,73,67)\)
- Multiplicity: 47
- Dimension: 154
- Dominant: No
\(\lambda=(78,69,69)\)
- Multiplicity: 13
- Dimension: 55
- Dominant: No
\(\lambda=(83,67,66)\)
- Multiplicity: 1
- Dimension: 323
- Dominant: No
\(\lambda=(82,77,57)\)
- Multiplicity: 1
- Dimension: 1701
- Dominant: Yes
\(\lambda=(81,71,64)\)
- Multiplicity: 23
- Dimension: 836
- Dominant: No
\(\lambda=(79,75,62)\)
- Multiplicity: 27
- Dimension: 665
- Dominant: No
\(\lambda=(76,72,68)\)
- Multiplicity: 40
- Dimension: 125
- Dominant: No
\(\lambda=(82,76,58)\)
- Multiplicity: 2
- Dimension: 1729
- Dominant: No
\(\lambda=(81,70,65)\)
- Multiplicity: 20
- Dimension: 648
- Dominant: No
\(\lambda=(79,74,63)\)
- Multiplicity: 36
- Dimension: 648
- Dominant: No
\(\lambda=(76,71,69)\)
- Multiplicity: 32
- Dimension: 81
- Dominant: No
\(\lambda=(77,77,62)\)
- Multiplicity: 9
- Dimension: 136
- Dominant: No
\(\lambda=(79,73,64)\)
- Multiplicity: 45
- Dimension: 595
- Dominant: No
\(\lambda=(82,75,59)\)
- Multiplicity: 4
- Dimension: 1700
- Dominant: No
\(\lambda=(81,69,66)\)
- Multiplicity: 16
- Dimension: 442
- Dominant: No
\(\lambda=(80,79,57)\)
- Multiplicity: 2
- Dimension: 575
- Dominant: No
\(\textbf{a}=(70,82,64)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,71)\)
- Multiplicity: 4835
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,78)\)
- Multiplicity: 2376
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,57)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,64)\)
- Multiplicity: 1333
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,71)\)
- Multiplicity: 4835
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,78)\)
- Multiplicity: 745
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,69)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,71)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,76)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,69)\)
- Multiplicity: 5807
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,62)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,76)\)
- Multiplicity: 4835
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,81)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,69)\)
- Multiplicity: 1452
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,62)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,74)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,76)\)
- Multiplicity: 464
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,81)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,67)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,74)\)
- Multiplicity: 4104
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,81)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,67)\)
- Multiplicity: 4104
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,60)\)
- Multiplicity: 82
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,74)\)
- Multiplicity: 5305
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,79)\)
- Multiplicity: 363
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,67)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,60)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,72)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,74)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,79)\)
- Multiplicity: 1452
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,65)\)
- Multiplicity: 562
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,72)\)
- Multiplicity: 7061
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,79)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,58)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,65)\)
- Multiplicity: 1472
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,72)\)
- Multiplicity: 3003
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,77)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,70)\)
- Multiplicity: 655
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,77)\)
- Multiplicity: 1884
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,70)\)
- Multiplicity: 7378
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,63)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,77)\)
- Multiplicity: 3003
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,74,82)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,70)\)
- Multiplicity: 655
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,63)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,75)\)
- Multiplicity: 145
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,77)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,67,82)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,68)\)
- Multiplicity: 1452
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,75)\)
- Multiplicity: 5064
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,60,82)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,80,80)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,68)\)
- Multiplicity: 4372
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,61)\)
- Multiplicity: 264
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,75)\)
- Multiplicity: 3077
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,73,80)\)
- Multiplicity: 335
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,68)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,73)\)
- Multiplicity: 770
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,59,75)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,66,80)\)
- Multiplicity: 655
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,66)\)
- Multiplicity: 1841
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,73)\)
- Multiplicity: 7937
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,59,80)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,79,78)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,66)\)
- Multiplicity: 1203
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,59)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,73)\)
- Multiplicity: 1472
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,71)\)
- Multiplicity: 2166
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,72,78)\)
- Multiplicity: 1841
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,64)\)
- Multiplicity: 1333
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,71)\)
- Multiplicity: 7321
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,65,78)\)
- Multiplicity: 1472
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,72,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,64)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,71)\)
- Multiplicity: 203
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,78,76)\)
- Multiplicity: 464
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,58,78)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,65,83)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,77,69)\)
- Multiplicity: 3644
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,62)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,71,76)\)
- Multiplicity: 4835
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,78,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,70,69)\)
- Multiplicity: 3644
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,76,62)\)
- Multiplicity: 464
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,64,76)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,71,81)\)
- Multiplicity: 203
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,83,67)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,77,74)\)
- Multiplicity: 1884
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,64,81)\)
- Multiplicity: 203
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,76,67)\)
- Multiplicity: 3705
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,82,60)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,70,74)\)
- Multiplicity: 7061
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,57,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,77,79)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,69,67)\)
- Multiplicity: 723
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,75,60)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,83,72)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,63,74)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,70,79)\)
- Multiplicity: 1364
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,82,65)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,76,72)\)
- Multiplicity: 4372
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,63,79)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,75,65)\)
- Multiplicity: 2123
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,81,58)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,69,72)\)
- Multiplicity: 5807
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,56,79)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,68,65)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(67,74,75)\)
- Multiplicity: 4104
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,61,82)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,73,68)\)
- Multiplicity: 5064
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,79,61)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,67,75)\)
- Multiplicity: 4104
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,74,80)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,66,68)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,72,61)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,80,73)\)
- Multiplicity: 335
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,60,75)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,67,80)\)
- Multiplicity: 723
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,79,66)\)
- Multiplicity: 1203
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,73,73)\)
- Multiplicity: 7378
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,60,80)\)
- Multiplicity: 82
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,80,78)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,72,66)\)
- Multiplicity: 1841
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,78,59)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,66,73)\)
- Multiplicity: 2466
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,79,71)\)
- Multiplicity: 1203
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,73,78)\)
- Multiplicity: 1472
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,78,64)\)
- Multiplicity: 1087
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,72,71)\)
- Multiplicity: 7937
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,66,78)\)
- Multiplicity: 1841
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,73,83)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,77,57)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,71,64)\)
- Multiplicity: 203
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,65,71)\)
- Multiplicity: 562
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,79,76)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,59,78)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,66,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,78,69)\)
- Multiplicity: 2457
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,72,76)\)
- Multiplicity: 4372
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,79,81)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,69)\)
- Multiplicity: 4835
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,62)\)
- Multiplicity: 508
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,65,76)\)
- Multiplicity: 2123
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,72,81)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,69)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,74)\)
- Multiplicity: 1087
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,58,76)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,65,81)\)
- Multiplicity: 246
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,67)\)
- Multiplicity: 3003
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,83,60)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,74)\)
- Multiplicity: 7321
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,58,81)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,78,79)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,67)\)
- Multiplicity: 1364
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,60)\)
- Multiplicity: 82
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,74)\)
- Multiplicity: 1087
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,71,79)\)
- Multiplicity: 1203
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,65)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,72)\)
- Multiplicity: 3003
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,64,79)\)
- Multiplicity: 770
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,65)\)
- Multiplicity: 2123
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,82,58)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,72)\)
- Multiplicity: 7061
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,57,79)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,65)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,83,70)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,72)\)
- Multiplicity: 155
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,77,77)\)
- Multiplicity: 508
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,63)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,70)\)
- Multiplicity: 4989
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,70,77)\)
- Multiplicity: 3644
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,77,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,70)\)
- Multiplicity: 3644
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,81,56)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,63)\)
- Multiplicity: 745
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,63,77)\)
- Multiplicity: 864
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,70,82)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,68)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,75)\)
- Multiplicity: 2123
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,63,82)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,68)\)
- Multiplicity: 5064
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,61)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,75)\)
- Multiplicity: 5807
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,80)\)
- Multiplicity: 82
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,68)\)
- Multiplicity: 743
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,61)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,73)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,75)\)
- Multiplicity: 363
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,80)\)
- Multiplicity: 723
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,66)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,73)\)
- Multiplicity: 5064
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,80)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,66)\)
- Multiplicity: 2908
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,59)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,73)\)
- Multiplicity: 5064
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,75,78)\)
- Multiplicity: 745
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,66)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,71)\)
- Multiplicity: 203
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,73)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,64)\)
- Multiplicity: 448
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,71)\)
- Multiplicity: 7321
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,68,78)\)
- Multiplicity: 2376
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,79,57)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,64)\)
- Multiplicity: 770
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,71)\)
- Multiplicity: 2166
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,76)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,61,78)\)
- Multiplicity: 264
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,68,83)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,69)\)
- Multiplicity: 723
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,76)\)
- Multiplicity: 2908
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,61,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,69)\)
- Multiplicity: 6359
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,62)\)
- Multiplicity: 363
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,76)\)
- Multiplicity: 3705
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,81)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,69)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,62)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,74)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,76)\)
- Multiplicity: 82
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,81)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,67)\)
- Multiplicity: 1364
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,74)\)
- Multiplicity: 6359
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,81)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,79)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,67)\)
- Multiplicity: 3003
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,60)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,74)\)
- Multiplicity: 2908
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,79)\)
- Multiplicity: 770
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,72)\)
- Multiplicity: 995
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,79)\)
- Multiplicity: 1203
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,65)\)
- Multiplicity: 1472
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,72)\)
- Multiplicity: 8236
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,79)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,77,58)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,65)\)
- Multiplicity: 562
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,72)\)
- Multiplicity: 995
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,77)\)
- Multiplicity: 119
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,70)\)
- Multiplicity: 2376
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,77)\)
- Multiplicity: 3003
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,70)\)
- Multiplicity: 6215
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,63)\)
- Multiplicity: 864
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,77)\)
- Multiplicity: 1884
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,82)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,70)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,70,63)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,75)\)
- Multiplicity: 745
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,77)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,82)\)
- Multiplicity: 73
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,68)\)
- Multiplicity: 3418
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,83,61)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,75)\)
- Multiplicity: 6215
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,80)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,68)\)
- Multiplicity: 2376
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,61)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,75)\)
- Multiplicity: 1333
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,80)\)
- Multiplicity: 562
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,66)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,73)\)
- Multiplicity: 2466
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,80)\)
- Multiplicity: 448
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,66)\)
- Multiplicity: 2908
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,59)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,73)\)
- Multiplicity: 7378
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,80)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,78)\)
- Multiplicity: 264
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,66)\)
- Multiplicity: 280
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,59)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,71)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,73)\)
- Multiplicity: 335
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{29,\lambda}(2,6;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{29,1}(2,6;7)\). 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 \(\beta_{29,\textbf{a}}(2,6;7)\). 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!