Current Betti Table Entry:
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| 0 |
(5,0,0) |
(11,1,0) |
(17,1,1) |
(22,3,1) |
(27,4,2) |
(32,4,4) |
(36,7,4) |
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(75,47,30) |
(77,47,35) |
(78,52,36) |
(79,56,38) |
(80,59,41) |
(81,61,45) |
(82,62,50) |
(83,62,56) |
(83,68,57) |
(83,73,59) |
(83,77,62) |
(83,80,66) |
(83,82,71) |
(83,83,77) |
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| 0 |
1 |
5 |
32 |
59 |
89 |
118 |
149 |
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344 |
327 |
305 |
280 |
254 |
224 |
193 |
158 |
128 |
95 |
66 |
36 |
6 |
1 |
| 2 |
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\(\lambda=(71,71,66)\)
- Multiplicity: 47
- Dimension: 21
- Dominant: No
\(\lambda=(81,67,60)\)
- Multiplicity: 37
- Dimension: 1380
- Dominant: No
\(\lambda=(82,73,53)\)
- Multiplicity: 1
- Dimension: 3255
- Dominant: Yes
\(\lambda=(77,75,56)\)
- Multiplicity: 40
- Dimension: 690
- Dominant: No
\(\lambda=(76,69,63)\)
- Multiplicity: 268
- Dimension: 420
- Dominant: No
\(\lambda=(74,72,62)\)
- Multiplicity: 172
- Dimension: 231
- Dominant: No
\(\lambda=(80,76,52)\)
- Multiplicity: 3
- Dimension: 1875
- Dominant: No
\(\lambda=(79,70,59)\)
- Multiplicity: 116
- Dimension: 1320
- Dominant: No
\(\lambda=(71,69,68)\)
- Multiplicity: 38
- Dimension: 15
- Dominant: No
\(\lambda=(81,65,62)\)
- Multiplicity: 25
- Dimension: 714
- Dominant: No
\(\lambda=(82,71,55)\)
- Multiplicity: 4
- Dimension: 2958
- Dominant: No
\(\lambda=(77,73,58)\)
- Multiplicity: 114
- Dimension: 840
- Dominant: No
\(\lambda=(76,67,65)\)
- Multiplicity: 156
- Dimension: 195
- Dominant: No
\(\lambda=(74,70,64)\)
- Multiplicity: 239
- Dimension: 210
- Dominant: No
\(\lambda=(80,74,54)\)
- Multiplicity: 13
- Dimension: 2058
- Dominant: No
\(\lambda=(79,68,61)\)
- Multiplicity: 131
- Dimension: 960
- Dominant: No
\(\lambda=(82,69,57)\)
- Multiplicity: 8
- Dimension: 2457
- Dominant: No
\(\lambda=(78,77,53)\)
- Multiplicity: 4
- Dimension: 675
- Dominant: No
\(\lambda=(77,71,60)\)
- Multiplicity: 203
- Dimension: 798
- Dominant: No
\(\lambda=(74,68,66)\)
- Multiplicity: 148
- Dimension: 105
- Dominant: No
\(\lambda=(75,74,59)\)
- Multiplicity: 76
- Dimension: 288
- Dominant: No
\(\lambda=(80,72,56)\)
- Multiplicity: 35
- Dimension: 1989
- Dominant: No
\(\lambda=(79,66,63)\)
- Multiplicity: 89
- Dimension: 504
- Dominant: No
\(\lambda=(72,71,65)\)
- Multiplicity: 107
- Dimension: 63
- Dominant: No
\(\lambda=(82,67,59)\)
- Multiplicity: 11
- Dimension: 1800
- Dominant: No
\(\lambda=(78,75,55)\)
- Multiplicity: 26
- Dimension: 1050
- Dominant: No
\(\lambda=(77,69,62)\)
- Multiplicity: 241
- Dimension: 612
- Dominant: No
\(\lambda=(75,72,61)\)
- Multiplicity: 198
- Dimension: 384
- Dominant: No
\(\lambda=(80,70,58)\)
- Multiplicity: 62
- Dimension: 1716
- Dominant: No
\(\lambda=(81,76,51)\)
- Multiplicity: 1
- Dimension: 2496
- Dominant: Yes
\(\lambda=(72,69,67)\)
- Multiplicity: 92
- Dimension: 42
- Dominant: No
\(\lambda=(79,79,50)\)
- Multiplicity: 1
- Dimension: 465
- Dominant: Yes
\(\lambda=(82,65,61)\)
- Multiplicity: 9
- Dimension: 1035
- Dominant: No
\(\lambda=(78,73,57)\)
- Multiplicity: 78
- Dimension: 1173
- Dominant: No
\(\lambda=(77,67,64)\)
- Multiplicity: 169
- Dimension: 330
- Dominant: No
\(\lambda=(75,70,63)\)
- Multiplicity: 274
- Dimension: 336
- Dominant: No
\(\lambda=(80,68,60)\)
- Multiplicity: 77
- Dimension: 1287
- Dominant: No
\(\lambda=(81,74,53)\)
- Multiplicity: 4
- Dimension: 2640
- Dominant: No
\(\lambda=(76,76,56)\)
- Multiplicity: 12
- Dimension: 231
- Dominant: No
\(\lambda=(73,73,62)\)
- Multiplicity: 71
- Dimension: 78
- Dominant: No
\(\lambda=(79,77,52)\)
- Multiplicity: 4
- Dimension: 1131
- Dominant: No
\(\lambda=(82,63,63)\)
- Multiplicity: 2
- Dimension: 210
- Dominant: No
\(\lambda=(78,71,59)\)
- Multiplicity: 146
- Dimension: 1092
- Dominant: No
\(\lambda=(70,70,68)\)
- Multiplicity: 14
- Dimension: 6
- Dominant: No
\(\lambda=(75,68,65)\)
- Multiplicity: 203
- Dimension: 192
- Dominant: No
\(\lambda=(80,66,62)\)
- Multiplicity: 61
- Dimension: 750
- Dominant: No
\(\lambda=(81,72,55)\)
- Multiplicity: 13
- Dimension: 2520
- Dominant: No
\(\lambda=(76,74,58)\)
- Multiplicity: 77
- Dimension: 510
- Dominant: No
\(\lambda=(73,71,64)\)
- Multiplicity: 178
- Dimension: 132
- Dominant: No
\(\lambda=(83,67,58)\)
- Multiplicity: 1
- Dimension: 2295
- Dominant: No
\(\lambda=(79,75,54)\)
- Multiplicity: 18
- Dimension: 1485
- Dominant: No
\(\lambda=(78,69,61)\)
- Multiplicity: 188
- Dimension: 855
- Dominant: No
\(\lambda=(80,64,64)\)
- Multiplicity: 14
- Dimension: 153
- Dominant: No
\(\lambda=(81,70,57)\)
- Multiplicity: 26
- Dimension: 2184
- Dominant: No
\(\lambda=(76,72,60)\)
- Multiplicity: 185
- Dimension: 585
- Dominant: No
\(\lambda=(73,69,66)\)
- Multiplicity: 158
- Dimension: 90
- Dominant: No
\(\lambda=(83,65,60)\)
- Multiplicity: 1
- Dimension: 1425
- Dominant: No
\(\lambda=(79,73,56)\)
- Multiplicity: 50
- Dimension: 1575
- Dominant: No
\(\lambda=(78,67,63)\)
- Multiplicity: 153
- Dimension: 510
- Dominant: No
\(\lambda=(81,68,59)\)
- Multiplicity: 36
- Dimension: 1680
- Dominant: No
\(\lambda=(77,76,55)\)
- Multiplicity: 18
- Dimension: 528
- Dominant: No
\(\lambda=(76,70,62)\)
- Multiplicity: 264
- Dimension: 504
- Dominant: No
\(\lambda=(74,73,61)\)
- Multiplicity: 115
- Dimension: 195
- Dominant: No
\(\lambda=(80,77,51)\)
- Multiplicity: 1
- Dimension: 1674
- Dominant: No
\(\lambda=(83,63,62)\)
- Multiplicity: 1
- Dimension: 483
- Dominant: No
\(\lambda=(79,71,58)\)
- Multiplicity: 96
- Dimension: 1449
- Dominant: No
\(\lambda=(78,65,65)\)
- Multiplicity: 36
- Dimension: 105
- Dominant: No
\(\lambda=(71,70,67)\)
- Multiplicity: 57
- Dimension: 24
- Dominant: No
\(\lambda=(81,66,61)\)
- Multiplicity: 33
- Dimension: 1056
- Dominant: No
\(\lambda=(82,72,54)\)
- Multiplicity: 2
- Dimension: 3135
- Dominant: No
\(\lambda=(77,74,57)\)
- Multiplicity: 69
- Dimension: 792
- Dominant: No
\(\lambda=(76,68,64)\)
- Multiplicity: 224
- Dimension: 315
- Dominant: No
\(\lambda=(74,71,63)\)
- Multiplicity: 228
- Dimension: 234
- Dominant: No
\(\lambda=(80,75,53)\)
- Multiplicity: 7
- Dimension: 2001
- Dominant: No
\(\lambda=(79,69,60)\)
- Multiplicity: 130
- Dimension: 1155
- Dominant: No
\(\lambda=(81,64,63)\)
- Multiplicity: 14
- Dimension: 360
- Dominant: No
\(\lambda=(82,70,56)\)
- Multiplicity: 6
- Dimension: 2730
- Dominant: No
\(\lambda=(77,72,59)\)
- Multiplicity: 157
- Dimension: 840
- Dominant: No
\(\lambda=(76,66,66)\)
- Multiplicity: 51
- Dimension: 66
- Dominant: No
\(\lambda=(74,69,65)\)
- Multiplicity: 221
- Dimension: 165
- Dominant: No
\(\lambda=(80,73,55)\)
- Multiplicity: 23
- Dimension: 2052
- Dominant: No
\(\lambda=(79,67,62)\)
- Multiplicity: 119
- Dimension: 741
- Dominant: No
\(\lambda=(75,75,58)\)
- Multiplicity: 33
- Dimension: 171
- Dominant: No
\(\lambda=(72,72,64)\)
- Multiplicity: 57
- Dimension: 45
- Dominant: No
\(\lambda=(82,68,58)\)
- Multiplicity: 10
- Dimension: 2145
- Dominant: No
\(\lambda=(78,76,54)\)
- Multiplicity: 11
- Dimension: 897
- Dominant: No
\(\lambda=(77,70,61)\)
- Multiplicity: 231
- Dimension: 720
- Dominant: No
\(\lambda=(74,67,67)\)
- Multiplicity: 59
- Dimension: 36
- Dominant: No
\(\lambda=(75,73,60)\)
- Multiplicity: 141
- Dimension: 357
- Dominant: No
\(\lambda=(80,71,57)\)
- Multiplicity: 49
- Dimension: 1875
- Dominant: No
\(\lambda=(79,65,64)\)
- Multiplicity: 48
- Dimension: 255
- Dominant: No
\(\lambda=(72,70,66)\)
- Multiplicity: 113
- Dimension: 60
- Dominant: No
\(\lambda=(82,66,60)\)
- Multiplicity: 11
- Dimension: 1428
- Dominant: No
\(\lambda=(78,74,56)\)
- Multiplicity: 46
- Dimension: 1140
- Dominant: No
\(\lambda=(77,68,63)\)
- Multiplicity: 219
- Dimension: 480
- Dominant: No
\(\lambda=(75,71,62)\)
- Multiplicity: 253
- Dimension: 375
- Dominant: No
\(\lambda=(80,69,59)\)
- Multiplicity: 73
- Dimension: 1518
- Dominant: No
\(\lambda=(81,75,52)\)
- Multiplicity: 2
- Dimension: 2604
- Dominant: No
\(\lambda=(72,68,68)\)
- Multiplicity: 30
- Dimension: 15
- Dominant: No
\(\lambda=(79,78,51)\)
- Multiplicity: 1
- Dimension: 840
- Dominant: No
\(\lambda=(82,64,62)\)
- Multiplicity: 6
- Dimension: 627
- Dominant: No
\(\lambda=(78,72,58)\)
- Multiplicity: 110
- Dimension: 1155
- Dominant: No
\(\lambda=(77,66,65)\)
- Multiplicity: 90
- Dimension: 168
- Dominant: No
\(\lambda=(75,69,64)\)
- Multiplicity: 262
- Dimension: 273
- Dominant: No
\(\lambda=(80,67,61)\)
- Multiplicity: 74
- Dimension: 1029
- Dominant: No
\(\lambda=(81,73,54)\)
- Multiplicity: 8
- Dimension: 2610
- Dominant: No
\(\lambda=(76,75,57)\)
- Multiplicity: 40
- Dimension: 399
- Dominant: No
\(\lambda=(73,72,63)\)
- Multiplicity: 128
- Dimension: 120
- Dominant: No
\(\lambda=(79,76,53)\)
- Multiplicity: 9
- Dimension: 1344
- Dominant: No
\(\lambda=(83,68,57)\)
- Multiplicity: 1
- Dimension: 2688
- Dominant: Yes
\(\lambda=(78,70,60)\)
- Multiplicity: 172
- Dimension: 990
- Dominant: No
\(\lambda=(70,69,69)\)
- Multiplicity: 10
- Dimension: 3
- Dominant: No
\(\lambda=(75,67,66)\)
- Multiplicity: 114
- Dimension: 99
- Dominant: No
\(\lambda=(80,65,63)\)
- Multiplicity: 41
- Dimension: 456
- Dominant: No
\(\lambda=(81,71,56)\)
- Multiplicity: 19
- Dimension: 2376
- Dominant: No
\(\lambda=(76,73,59)\)
- Multiplicity: 134
- Dimension: 570
- Dominant: No
\(\lambda=(73,70,65)\)
- Multiplicity: 186
- Dimension: 120
- Dominant: No
\(\lambda=(83,66,59)\)
- Multiplicity: 1
- Dimension: 1872
- Dominant: No
\(\lambda=(79,74,55)\)
- Multiplicity: 30
- Dimension: 1560
- Dominant: No
\(\lambda=(78,68,62)\)
- Multiplicity: 179
- Dimension: 693
- Dominant: No
\(\lambda=(81,69,58)\)
- Multiplicity: 32
- Dimension: 1950
- Dominant: No
\(\lambda=(77,77,54)\)
- Multiplicity: 7
- Dimension: 300
- Dominant: No
\(\lambda=(76,71,61)\)
- Multiplicity: 239
- Dimension: 561
- Dominant: No
\(\lambda=(73,68,67)\)
- Multiplicity: 90
- Dimension: 48
- Dominant: No
\(\lambda=(74,74,60)\)
- Multiplicity: 45
- Dimension: 120
- Dominant: No
\(\lambda=(83,64,61)\)
- Multiplicity: 1
- Dimension: 960
- Dominant: No
\(\lambda=(79,72,57)\)
- Multiplicity: 71
- Dimension: 1536
- Dominant: No
\(\lambda=(78,66,64)\)
- Multiplicity: 99
- Dimension: 312
- Dominant: No
\(\textbf{a}=(55,71,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,57,77)\)
- Multiplicity: 1243
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,77,75)\)
- Multiplicity: 687
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,63)\)
- Multiplicity: 12773
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,56)\)
- Multiplicity: 687
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,83,68)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,70)\)
- Multiplicity: 16734
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,64,82)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,75)\)
- Multiplicity: 16734
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,63)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,61)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,68)\)
- Multiplicity: 14667
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,56,70)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,57,82)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,77,80)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,75)\)
- Multiplicity: 16734
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,61)\)
- Multiplicity: 9917
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,54)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,68)\)
- Multiplicity: 51663
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,70,80)\)
- Multiplicity: 439
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,56,75)\)
- Multiplicity: 687
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,73)\)
- Multiplicity: 3981
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,61)\)
- Multiplicity: 2150
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,54)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,66)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,68)\)
- Multiplicity: 4673
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,63,80)\)
- Multiplicity: 1226
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,73)\)
- Multiplicity: 37066
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,59)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,66)\)
- Multiplicity: 23443
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,56,80)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,76,78)\)
- Multiplicity: 131
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,73)\)
- Multiplicity: 16002
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,82,71)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,59)\)
- Multiplicity: 4462
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,52)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,66)\)
- Multiplicity: 30688
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,69,78)\)
- Multiplicity: 3848
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,55,73)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,71)\)
- Multiplicity: 13300
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,59)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,64)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,66)\)
- Multiplicity: 338
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,62,78)\)
- Multiplicity: 4673
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,71)\)
- Multiplicity: 51663
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,57)\)
- Multiplicity: 293
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,64)\)
- Multiplicity: 24424
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,55,78)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,75,76)\)
- Multiplicity: 1430
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,57)\)
- Multiplicity: 930
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,64)\)
- Multiplicity: 9810
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,69)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,71)\)
- Multiplicity: 8116
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,62,83)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,68,76)\)
- Multiplicity: 14667
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,62)\)
- Multiplicity: 1126
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,69)\)
- Multiplicity: 28191
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,75,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,61,76)\)
- Multiplicity: 8116
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,81,74)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,62)\)
- Multiplicity: 16002
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,55)\)
- Multiplicity: 195
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,69)\)
- Multiplicity: 45289
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,68,81)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,54,76)\)
- Multiplicity: 131
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,74,74)\)
- Multiplicity: 7272
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,62)\)
- Multiplicity: 1126
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,55)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,67)\)
- Multiplicity: 977
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,69)\)
- Multiplicity: 1716
- Dimension: 1
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- Error: 0
\(\textbf{a}=(73,53,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,73,80)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,59,75)\)
- Multiplicity: 4462
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,79,73)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,61)\)
- Multiplicity: 8116
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,54)\)
- Multiplicity: 147
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,65,68)\)
- Multiplicity: 22174
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,66,80)\)
- Multiplicity: 1126
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,52,75)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,72,73)\)
- Multiplicity: 21744
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,61)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,66)\)
- Multiplicity: 5816
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,58,68)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,59,80)\)
- Multiplicity: 612
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,79,78)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,65,73)\)
- Multiplicity: 32988
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,59)\)
- Multiplicity: 3147
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,66)\)
- Multiplicity: 42974
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,52,80)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,72,78)\)
- Multiplicity: 1475
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,58,73)\)
- Multiplicity: 2062
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,78,71)\)
- Multiplicity: 2172
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,59)\)
- Multiplicity: 1287
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,52)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,66)\)
- Multiplicity: 5816
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,65,78)\)
- Multiplicity: 5976
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,71,71)\)
- Multiplicity: 42974
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,83,57)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,64)\)
- Multiplicity: 9810
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,58,78)\)
- Multiplicity: 1475
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,78,76)\)
- Multiplicity: 131
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,57)\)
- Multiplicity: 1430
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,64)\)
- Multiplicity: 24424
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,64,71)\)
- Multiplicity: 27645
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,65,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,51,78)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,71,76)\)
- Multiplicity: 8116
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,83,62)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,57)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,64)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,77,69)\)
- Multiplicity: 7450
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,57,71)\)
- Multiplicity: 293
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,58,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,64,76)\)
- Multiplicity: 14667
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,62)\)
- Multiplicity: 10490
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,55)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,70,69)\)
- Multiplicity: 55144
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,71,81)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,57,76)\)
- Multiplicity: 1430
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,77,74)\)
- Multiplicity: 1243
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,62)\)
- Multiplicity: 7450
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,55)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,83,67)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,63,69)\)
- Multiplicity: 12773
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,64,81)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,70,74)\)
- Multiplicity: 24424
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,60)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,67)\)
- Multiplicity: 15931
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,57,81)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,77,79)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,63,74)\)
- Multiplicity: 19938
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,60)\)
- Multiplicity: 6912
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,67)\)
- Multiplicity: 45289
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,70,79)\)
- Multiplicity: 1287
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,56,74)\)
- Multiplicity: 536
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,72)\)
- Multiplicity: 5882
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,60)\)
- Multiplicity: 798
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,65)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,67)\)
- Multiplicity: 2541
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,63,79)\)
- Multiplicity: 2836
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,72)\)
- Multiplicity: 45289
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,58)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,65)\)
- Multiplicity: 22174
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,56,79)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,76,77)\)
- Multiplicity: 340
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,72)\)
- Multiplicity: 15267
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,80,51)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,58)\)
- Multiplicity: 2488
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,65)\)
- Multiplicity: 22174
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,82,70)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,69,77)\)
- Multiplicity: 7450
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,55,72)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,63)\)
- Multiplicity: 405
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,58)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,65)\)
- Multiplicity: 71
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,75,70)\)
- Multiplicity: 16734
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,62,77)\)
- Multiplicity: 7450
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,63)\)
- Multiplicity: 19938
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,56)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,68,70)\)
- Multiplicity: 53423
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,69,82)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,55,77)\)
- Multiplicity: 340
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,75,75)\)
- Multiplicity: 2654
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,63)\)
- Multiplicity: 5363
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,56)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,68)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,61,70)\)
- Multiplicity: 5953
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,62,82)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,68,75)\)
- Multiplicity: 22174
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,61)\)
- Multiplicity: 977
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,68)\)
- Multiplicity: 30688
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,55,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,75,80)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,61,75)\)
- Multiplicity: 9917
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,81,73)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,61)\)
- Multiplicity: 10941
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,54)\)
- Multiplicity: 97
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,68)\)
- Multiplicity: 39277
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,68,80)\)
- Multiplicity: 798
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,54,75)\)
- Multiplicity: 97
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,73)\)
- Multiplicity: 10941
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,61)\)
- Multiplicity: 338
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,66)\)
- Multiplicity: 1126
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,68)\)
- Multiplicity: 798
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,61,80)\)
- Multiplicity: 977
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,73)\)
- Multiplicity: 39277
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,59)\)
- Multiplicity: 1287
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,66)\)
- Multiplicity: 37066
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,54,80)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,74,78)\)
- Multiplicity: 536
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,73)\)
- Multiplicity: 6912
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,71)\)
- Multiplicity: 293
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,59)\)
- Multiplicity: 3147
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,52)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,66)\)
- Multiplicity: 16366
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,67,78)\)
- Multiplicity: 5363
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,53,73)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,71)\)
- Multiplicity: 27645
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,64)\)
- Multiplicity: 2995
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,59,66)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,60,78)\)
- Multiplicity: 2983
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,80,76)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,57)\)
- Multiplicity: 930
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,64)\)
- Multiplicity: 28773
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,71)\)
- Multiplicity: 42974
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,67,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,53,78)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,73,76)\)
- Multiplicity: 3981
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,57)\)
- Multiplicity: 293
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,64)\)
- Multiplicity: 2995
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,69)\)
- Multiplicity: 1716
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,71)\)
- Multiplicity: 2172
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,60,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,66,76)\)
- Multiplicity: 16366
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,62)\)
- Multiplicity: 4673
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,69)\)
- Multiplicity: 45289
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,73,81)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,59,76)\)
- Multiplicity: 3981
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,79,74)\)
- Multiplicity: 195
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,62)\)
- Multiplicity: 13300
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,55)\)
- Multiplicity: 340
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,69)\)
- Multiplicity: 28191
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,66,81)\)
- Multiplicity: 338
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,52,76)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,74)\)
- Multiplicity: 15267
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,62)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,67)\)
- Multiplicity: 5363
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,69)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,59,81)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,79,79)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,74)\)
- Multiplicity: 28191
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,60)\)
- Multiplicity: 4475
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,67)\)
- Multiplicity: 48604
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,52,81)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,72,79)\)
- Multiplicity: 590
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,74)\)
- Multiplicity: 2488
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,72)\)
- Multiplicity: 1475
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,60)\)
- Multiplicity: 2983
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,53)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,67)\)
- Multiplicity: 9810
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,65,79)\)
- Multiplicity: 2995
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,72)\)
- Multiplicity: 35638
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,58)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,65)\)
- Multiplicity: 10354
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,58,79)\)
- Multiplicity: 904
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,78,77)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,72)\)
- Multiplicity: 28773
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,58)\)
- Multiplicity: 2488
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,65)\)
- Multiplicity: 32988
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,51,79)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,71,77)\)
- Multiplicity: 4475
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,72)\)
- Multiplicity: 590
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,58)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,63)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,65)\)
- Multiplicity: 1226
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,70)\)
- Multiplicity: 5953
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,64,77)\)
- Multiplicity: 9810
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,63)\)
- Multiplicity: 12773
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,56)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,70)\)
- Multiplicity: 53423
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{28,\lambda}(2,5;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{28,1}(2,5;7)\). 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 \(\beta_{28,\textbf{a}}(2,5;7)\). 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!