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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6 |
36 |
66 |
95 |
128 |
158 |
193 |
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280 |
305 |
327 |
344 |
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149 |
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89 |
59 |
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\(\lambda=(71,71,67)\)
- Multiplicity: 29
- Dimension: 15
- Dominant: No
\(\lambda=(82,73,54)\)
- Multiplicity: 1
- Dimension: 3000
- Dominant: Yes
\(\lambda=(81,67,61)\)
- Multiplicity: 26
- Dimension: 1155
- Dominant: No
\(\lambda=(77,75,57)\)
- Multiplicity: 37
- Dimension: 627
- Dominant: No
\(\lambda=(76,69,64)\)
- Multiplicity: 189
- Dimension: 336
- Dominant: No
\(\lambda=(74,72,63)\)
- Multiplicity: 134
- Dimension: 195
- Dominant: No
\(\lambda=(80,76,53)\)
- Multiplicity: 3
- Dimension: 1740
- Dominant: No
\(\lambda=(79,70,60)\)
- Multiplicity: 95
- Dimension: 1155
- Dominant: No
\(\lambda=(71,69,69)\)
- Multiplicity: 14
- Dimension: 6
- Dominant: No
\(\lambda=(81,65,63)\)
- Multiplicity: 14
- Dimension: 510
- Dominant: No
\(\lambda=(82,71,56)\)
- Multiplicity: 3
- Dimension: 2688
- Dominant: No
\(\lambda=(77,73,59)\)
- Multiplicity: 99
- Dimension: 750
- Dominant: No
\(\lambda=(76,67,66)\)
- Multiplicity: 82
- Dimension: 120
- Dominant: No
\(\lambda=(74,70,65)\)
- Multiplicity: 166
- Dimension: 165
- Dominant: No
\(\lambda=(80,74,55)\)
- Multiplicity: 12
- Dimension: 1890
- Dominant: No
\(\lambda=(79,68,62)\)
- Multiplicity: 98
- Dimension: 798
- Dominant: No
\(\lambda=(82,69,58)\)
- Multiplicity: 6
- Dimension: 2184
- Dominant: No
\(\lambda=(78,77,54)\)
- Multiplicity: 4
- Dimension: 624
- Dominant: No
\(\lambda=(77,71,61)\)
- Multiplicity: 165
- Dimension: 693
- Dominant: No
\(\lambda=(74,68,67)\)
- Multiplicity: 77
- Dimension: 63
- Dominant: No
\(\lambda=(80,72,57)\)
- Multiplicity: 31
- Dimension: 1800
- Dominant: No
\(\lambda=(79,66,64)\)
- Multiplicity: 54
- Dimension: 357
- Dominant: No
\(\lambda=(75,74,60)\)
- Multiplicity: 64
- Dimension: 255
- Dominant: No
\(\lambda=(72,71,66)\)
- Multiplicity: 70
- Dimension: 48
- Dominant: No
\(\lambda=(82,67,60)\)
- Multiplicity: 8
- Dimension: 1536
- Dominant: No
\(\lambda=(78,75,56)\)
- Multiplicity: 25
- Dimension: 960
- Dominant: No
\(\lambda=(77,69,63)\)
- Multiplicity: 180
- Dimension: 504
- Dominant: No
\(\lambda=(80,70,59)\)
- Multiplicity: 51
- Dimension: 1518
- Dominant: No
\(\lambda=(81,76,52)\)
- Multiplicity: 1
- Dimension: 2325
- Dominant: Yes
\(\lambda=(75,72,62)\)
- Multiplicity: 158
- Dimension: 330
- Dominant: No
\(\lambda=(72,69,68)\)
- Multiplicity: 42
- Dimension: 24
- Dominant: No
\(\lambda=(79,79,51)\)
- Multiplicity: 1
- Dimension: 435
- Dominant: Yes
\(\lambda=(82,65,62)\)
- Multiplicity: 5
- Dimension: 792
- Dominant: No
\(\lambda=(78,73,58)\)
- Multiplicity: 70
- Dimension: 1056
- Dominant: No
\(\lambda=(77,67,65)\)
- Multiplicity: 103
- Dimension: 231
- Dominant: No
\(\lambda=(80,68,61)\)
- Multiplicity: 58
- Dimension: 1092
- Dominant: No
\(\lambda=(81,74,54)\)
- Multiplicity: 4
- Dimension: 2436
- Dominant: No
\(\lambda=(76,76,57)\)
- Multiplicity: 11
- Dimension: 210
- Dominant: No
\(\lambda=(75,70,64)\)
- Multiplicity: 197
- Dimension: 273
- Dominant: No
\(\lambda=(73,73,63)\)
- Multiplicity: 56
- Dimension: 66
- Dominant: No
\(\lambda=(79,77,53)\)
- Multiplicity: 4
- Dimension: 1050
- Dominant: No
\(\lambda=(78,71,60)\)
- Multiplicity: 122
- Dimension: 960
- Dominant: No
\(\lambda=(70,70,69)\)
- Multiplicity: 6
- Dimension: 3
- Dominant: No
\(\lambda=(80,66,63)\)
- Multiplicity: 40
- Dimension: 570
- Dominant: No
\(\lambda=(81,72,56)\)
- Multiplicity: 12
- Dimension: 2295
- Dominant: No
\(\lambda=(76,74,59)\)
- Multiplicity: 67
- Dimension: 456
- Dominant: No
\(\lambda=(75,68,66)\)
- Multiplicity: 119
- Dimension: 132
- Dominant: No
\(\lambda=(73,71,65)\)
- Multiplicity: 126
- Dimension: 105
- Dominant: No
\(\lambda=(79,75,55)\)
- Multiplicity: 17
- Dimension: 1365
- Dominant: No
\(\lambda=(78,69,62)\)
- Multiplicity: 144
- Dimension: 720
- Dominant: No
\(\lambda=(81,70,58)\)
- Multiplicity: 22
- Dimension: 1950
- Dominant: No
\(\lambda=(76,72,61)\)
- Multiplicity: 152
- Dimension: 510
- Dominant: No
\(\lambda=(73,69,67)\)
- Multiplicity: 92
- Dimension: 60
- Dominant: No
\(\lambda=(79,73,57)\)
- Multiplicity: 45
- Dimension: 1428
- Dominant: No
\(\lambda=(78,67,64)\)
- Multiplicity: 100
- Dimension: 384
- Dominant: No
\(\lambda=(81,68,60)\)
- Multiplicity: 28
- Dimension: 1449
- Dominant: No
\(\lambda=(77,76,56)\)
- Multiplicity: 17
- Dimension: 483
- Dominant: No
\(\lambda=(76,70,63)\)
- Multiplicity: 200
- Dimension: 420
- Dominant: No
\(\lambda=(74,73,62)\)
- Multiplicity: 92
- Dimension: 168
- Dominant: No
\(\lambda=(79,71,59)\)
- Multiplicity: 81
- Dimension: 1287
- Dominant: No
\(\lambda=(80,77,52)\)
- Multiplicity: 1
- Dimension: 1560
- Dominant: No
\(\lambda=(71,70,68)\)
- Multiplicity: 28
- Dimension: 15
- Dominant: No
\(\lambda=(82,72,55)\)
- Multiplicity: 2
- Dimension: 2871
- Dominant: No
\(\lambda=(81,66,62)\)
- Multiplicity: 23
- Dimension: 840
- Dominant: No
\(\lambda=(77,74,58)\)
- Multiplicity: 62
- Dimension: 714
- Dominant: No
\(\lambda=(76,68,65)\)
- Multiplicity: 145
- Dimension: 234
- Dominant: No
\(\lambda=(74,71,64)\)
- Multiplicity: 167
- Dimension: 192
- Dominant: No
\(\lambda=(80,75,54)\)
- Multiplicity: 7
- Dimension: 1848
- Dominant: No
\(\lambda=(79,69,61)\)
- Multiplicity: 102
- Dimension: 990
- Dominant: No
\(\lambda=(81,64,64)\)
- Multiplicity: 6
- Dimension: 171
- Dominant: No
\(\lambda=(82,70,57)\)
- Multiplicity: 5
- Dimension: 2457
- Dominant: No
\(\lambda=(77,72,60)\)
- Multiplicity: 133
- Dimension: 741
- Dominant: No
\(\lambda=(74,69,66)\)
- Multiplicity: 138
- Dimension: 120
- Dominant: No
\(\lambda=(80,73,56)\)
- Multiplicity: 21
- Dimension: 1872
- Dominant: No
\(\lambda=(79,67,63)\)
- Multiplicity: 83
- Dimension: 585
- Dominant: No
\(\lambda=(75,75,59)\)
- Multiplicity: 29
- Dimension: 153
- Dominant: No
\(\lambda=(72,72,65)\)
- Multiplicity: 41
- Dimension: 36
- Dominant: No
\(\lambda=(82,68,59)\)
- Multiplicity: 7
- Dimension: 1875
- Dominant: No
\(\lambda=(78,76,55)\)
- Multiplicity: 11
- Dimension: 825
- Dominant: No
\(\lambda=(77,70,62)\)
- Multiplicity: 180
- Dimension: 612
- Dominant: No
\(\lambda=(80,71,58)\)
- Multiplicity: 42
- Dimension: 1680
- Dominant: No
\(\lambda=(79,65,65)\)
- Multiplicity: 18
- Dimension: 120
- Dominant: No
\(\lambda=(75,73,61)\)
- Multiplicity: 117
- Dimension: 312
- Dominant: No
\(\lambda=(72,70,67)\)
- Multiplicity: 68
- Dimension: 42
- Dominant: No
\(\lambda=(82,66,61)\)
- Multiplicity: 7
- Dimension: 1173
- Dominant: No
\(\lambda=(78,74,57)\)
- Multiplicity: 42
- Dimension: 1035
- Dominant: No
\(\lambda=(77,68,64)\)
- Multiplicity: 150
- Dimension: 375
- Dominant: No
\(\lambda=(80,69,60)\)
- Multiplicity: 58
- Dimension: 1320
- Dominant: No
\(\lambda=(81,75,53)\)
- Multiplicity: 2
- Dimension: 2415
- Dominant: No
\(\lambda=(75,71,63)\)
- Multiplicity: 195
- Dimension: 315
- Dominant: No
\(\lambda=(79,78,52)\)
- Multiplicity: 1
- Dimension: 783
- Dominant: No
\(\lambda=(82,64,63)\)
- Multiplicity: 3
- Dimension: 399
- Dominant: No
\(\lambda=(78,72,59)\)
- Multiplicity: 95
- Dimension: 1029
- Dominant: No
\(\lambda=(77,66,66)\)
- Multiplicity: 35
- Dimension: 78
- Dominant: No
\(\lambda=(80,67,62)\)
- Multiplicity: 53
- Dimension: 840
- Dominant: No
\(\lambda=(81,73,55)\)
- Multiplicity: 7
- Dimension: 2394
- Dominant: No
\(\lambda=(76,75,58)\)
- Multiplicity: 36
- Dimension: 360
- Dominant: No
\(\lambda=(75,69,65)\)
- Multiplicity: 178
- Dimension: 210
- Dominant: No
\(\lambda=(73,72,64)\)
- Multiplicity: 95
- Dimension: 99
- Dominant: No
\(\lambda=(79,76,54)\)
- Multiplicity: 9
- Dimension: 1242
- Dominant: No
\(\lambda=(83,68,58)\)
- Multiplicity: 1
- Dimension: 2376
- Dominant: Yes
\(\lambda=(78,70,61)\)
- Multiplicity: 138
- Dimension: 855
- Dominant: No
\(\lambda=(75,67,67)\)
- Multiplicity: 47
- Dimension: 45
- Dominant: No
\(\lambda=(80,65,64)\)
- Multiplicity: 21
- Dimension: 288
- Dominant: No
\(\lambda=(81,71,57)\)
- Multiplicity: 16
- Dimension: 2145
- Dominant: No
\(\lambda=(76,73,60)\)
- Multiplicity: 113
- Dimension: 504
- Dominant: No
\(\lambda=(73,70,66)\)
- Multiplicity: 120
- Dimension: 90
- Dominant: No
\(\lambda=(79,74,56)\)
- Multiplicity: 28
- Dimension: 1425
- Dominant: No
\(\lambda=(83,66,60)\)
- Multiplicity: 1
- Dimension: 1575
- Dominant: No
\(\lambda=(78,68,63)\)
- Multiplicity: 130
- Dimension: 561
- Dominant: No
\(\lambda=(81,69,59)\)
- Multiplicity: 25
- Dimension: 1716
- Dominant: No
\(\lambda=(77,77,55)\)
- Multiplicity: 7
- Dimension: 276
- Dominant: No
\(\lambda=(76,71,62)\)
- Multiplicity: 188
- Dimension: 480
- Dominant: No
\(\lambda=(73,68,68)\)
- Multiplicity: 30
- Dimension: 21
- Dominant: No
\(\lambda=(74,74,61)\)
- Multiplicity: 37
- Dimension: 105
- Dominant: No
\(\lambda=(79,72,58)\)
- Multiplicity: 63
- Dimension: 1380
- Dominant: No
\(\lambda=(83,64,62)\)
- Multiplicity: 1
- Dimension: 690
- Dominant: No
\(\lambda=(78,66,65)\)
- Multiplicity: 53
- Dimension: 195
- Dominant: No
\(\textbf{a}=(74,57,78)\)
- Multiplicity: 498
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,77,76)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,64)\)
- Multiplicity: 10224
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,57)\)
- Multiplicity: 643
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,71)\)
- Multiplicity: 10966
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,64,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,76)\)
- Multiplicity: 8603
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,64)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,62)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,69)\)
- Multiplicity: 10224
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,56,71)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,76)\)
- Multiplicity: 8603
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,62)\)
- Multiplicity: 8362
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,55)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,69)\)
- Multiplicity: 36875
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,70,81)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,56,76)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,74)\)
- Multiplicity: 2234
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,62)\)
- Multiplicity: 1739
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,55)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,67)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,69)\)
- Multiplicity: 3167
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,63,81)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,74)\)
- Multiplicity: 21701
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,60)\)
- Multiplicity: 177
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,67)\)
- Multiplicity: 17489
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,56,81)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,76,79)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,74)\)
- Multiplicity: 9243
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,82,72)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,60)\)
- Multiplicity: 3929
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,67)\)
- Multiplicity: 23016
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,69,79)\)
- Multiplicity: 1423
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,55,74)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,72)\)
- Multiplicity: 8362
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,60)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,65)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,67)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,62,79)\)
- Multiplicity: 1739
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,58)\)
- Multiplicity: 258
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,65)\)
- Multiplicity: 19277
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,72)\)
- Multiplicity: 33233
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,55,79)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,75,77)\)
- Multiplicity: 643
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,58)\)
- Multiplicity: 845
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,65)\)
- Multiplicity: 7586
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,70)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,72)\)
- Multiplicity: 5052
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,68,77)\)
- Multiplicity: 6977
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,63)\)
- Multiplicity: 863
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,70)\)
- Multiplicity: 19277
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,61,77)\)
- Multiplicity: 3817
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,81,75)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,63)\)
- Multiplicity: 13248
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,56)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,70)\)
- Multiplicity: 31236
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,68,82)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,54,77)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,74,75)\)
- Multiplicity: 3929
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,63)\)
- Multiplicity: 863
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,56)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,68)\)
- Multiplicity: 645
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,70)\)
- Multiplicity: 1096
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,61,82)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,67,75)\)
- Multiplicity: 17489
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,61)\)
- Multiplicity: 1423
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,68)\)
- Multiplicity: 28746
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,54,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,74,80)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,60,75)\)
- Multiplicity: 3929
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,80,73)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,61)\)
- Multiplicity: 5052
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,54)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,68)\)
- Multiplicity: 16987
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,67,80)\)
- Multiplicity: 769
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,53,75)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,73,73)\)
- Multiplicity: 13248
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,61)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,66)\)
- Multiplicity: 2178
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- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,63)\)
- Multiplicity: 8603
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,56)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,70,70)\)
- Multiplicity: 38151
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,71,82)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,57,77)\)
- Multiplicity: 643
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,77,75)\)
- Multiplicity: 643
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,63)\)
- Multiplicity: 6060
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,56)\)
- Multiplicity: 269
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,83,68)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,63,70)\)
- Multiplicity: 8603
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,64,82)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,70,75)\)
- Multiplicity: 13475
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,61)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,68)\)
- Multiplicity: 11450
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,57,82)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,77,80)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,63,75)\)
- Multiplicity: 10966
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,61)\)
- Multiplicity: 5957
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,54)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,68)\)
- Multiplicity: 33233
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,70,80)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,56,75)\)
- Multiplicity: 269
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,73)\)
- Multiplicity: 3497
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,61)\)
- Multiplicity: 645
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,54)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,66)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,68)\)
- Multiplicity: 1739
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,63,80)\)
- Multiplicity: 863
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,73)\)
- Multiplicity: 27903
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,59)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,66)\)
- Multiplicity: 16987
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,56,80)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,76,78)\)
- Multiplicity: 128
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,73)\)
- Multiplicity: 9243
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,52)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,59)\)
- Multiplicity: 2234
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,66)\)
- Multiplicity: 16987
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,82,71)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,69,78)\)
- Multiplicity: 3167
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,55,73)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,64)\)
- Multiplicity: 289
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,59)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,66)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,75,71)\)
- Multiplicity: 10966
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,62,78)\)
- Multiplicity: 3167
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,64)\)
- Multiplicity: 16115
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,57)\)
- Multiplicity: 163
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,68,71)\)
- Multiplicity: 35707
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,55,78)\)
- Multiplicity: 128
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,75,76)\)
- Multiplicity: 1314
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,64)\)
- Multiplicity: 4198
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,57)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,69)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,61,71)\)
- Multiplicity: 3817
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,62,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,68,76)\)
- Multiplicity: 11450
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,62)\)
- Multiplicity: 769
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,69)\)
- Multiplicity: 21701
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,75,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,61,76)\)
- Multiplicity: 5052
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,81,74)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,62)\)
- Multiplicity: 9243
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,55)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,69)\)
- Multiplicity: 27903
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,68,81)\)
- Multiplicity: 177
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,54,76)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,74)\)
- Multiplicity: 6273
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,62)\)
- Multiplicity: 256
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,55)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,67)\)
- Multiplicity: 769
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,69)\)
- Multiplicity: 509
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,61,81)\)
- Multiplicity: 219
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,74)\)
- Multiplicity: 23016
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,60)\)
- Multiplicity: 1096
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,67)\)
- Multiplicity: 27903
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,54,81)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,74,79)\)
- Multiplicity: 184
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,74)\)
- Multiplicity: 3929
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,72)\)
- Multiplicity: 163
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,60)\)
- Multiplicity: 2750
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,53)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,67)\)
- Multiplicity: 12118
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,67,79)\)
- Multiplicity: 2003
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,72)\)
- Multiplicity: 17611
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,65)\)
- Multiplicity: 2236
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,59,67)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,60,79)\)
- Multiplicity: 1096
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,80,77)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,58)\)
- Multiplicity: 845
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,65)\)
- Multiplicity: 22794
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,72)\)
- Multiplicity: 27567
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,53,79)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,73,77)\)
- Multiplicity: 1843
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,58)\)
- Multiplicity: 258
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,65)\)
- Multiplicity: 2236
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,70)\)
- Multiplicity: 1096
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,72)\)
- Multiplicity: 1307
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,66,77)\)
- Multiplicity: 7799
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,63)\)
- Multiplicity: 3753
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,70)\)
- Multiplicity: 31236
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,73,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,59,77)\)
- Multiplicity: 1843
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,79,75)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,63)\)
- Multiplicity: 10966
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,56)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,70)\)
- Multiplicity: 19277
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,66,82)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,52,77)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,75)\)
- Multiplicity: 8362
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,63)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,68)\)
- Multiplicity: 3753
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,70)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,59,82)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,75)\)
- Multiplicity: 15583
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,61)\)
- Multiplicity: 3817
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,68)\)
- Multiplicity: 35707
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,72,80)\)
- Multiplicity: 163
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,75)\)
- Multiplicity: 1314
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,73)\)
- Multiplicity: 845
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,61)\)
- Multiplicity: 2516
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,54)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,68)\)
- Multiplicity: 6977
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,65,80)\)
- Multiplicity: 913
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,73)\)
- Multiplicity: 21878
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,59)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,66)\)
- Multiplicity: 7799
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,58,80)\)
- Multiplicity: 258
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,78,78)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,73)\)
- Multiplicity: 17611
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,59)\)
- Multiplicity: 2234
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,66)\)
- Multiplicity: 25476
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,71,78)\)
- Multiplicity: 1878
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,73)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,59)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,64)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,66)\)
- Multiplicity: 863
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,71)\)
- Multiplicity: 3817
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,64,78)\)
- Multiplicity: 4198
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,64)\)
- Multiplicity: 10224
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,57)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,71)\)
- Multiplicity: 35707
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{28,\lambda}(2,6;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{28,1}(2,6;7)\). 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 \(\beta_{28,\textbf{a}}(2,6;7)\). 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!