Current Betti Table Entry:
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20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
0 |
(4,0,0) |
(10,1,0) |
(16,1,1) |
(21,3,1) |
(26,4,2) |
(31,4,4) |
? |
? |
? |
? |
? |
? |
? |
? |
? |
· |
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· |
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1 |
· |
· |
· |
· |
· |
? |
? |
? |
? |
? |
? |
? |
? |
? |
(63,30,16) |
(66,30,20) |
(68,34,21) |
(70,37,23) |
(72,39,26) |
(74,40,30) |
(76,40,35) |
(77,46,35) |
(78,51,36) |
(79,55,38) |
(80,58,41) |
(81,60,45) |
(82,61,50) |
(83,61,56) |
(83,67,57) |
(83,72,59) |
(83,76,62) |
(83,79,66) |
(83,81,71) |
· |
2 |
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(83,83,83) |
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1 |
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3 |
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7 |
8 |
9 |
10 |
11 |
12 |
13 |
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18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
0 |
1 |
4 |
27 |
55 |
82 |
109 |
? |
? |
? |
? |
? |
? |
? |
? |
? |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
1 |
· |
· |
· |
· |
· |
? |
? |
? |
? |
? |
? |
? |
? |
? |
362 |
372 |
378 |
377 |
371 |
363 |
348 |
333 |
310 |
284 |
256 |
227 |
197 |
162 |
130 |
99 |
67 |
34 |
3 |
· |
2 |
· |
· |
· |
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1 |
\(\lambda=(74,74,73)\)
- Multiplicity: 1
- Dimension: 3
- Dominant: No
\(\lambda=(77,76,68)\)
- Multiplicity: 7
- Dimension: 99
- Dominant: No
\(\lambda=(82,74,65)\)
- Multiplicity: 7
- Dimension: 855
- Dominant: No
\(\lambda=(80,78,63)\)
- Multiplicity: 4
- Dimension: 456
- Dominant: No
\(\lambda=(79,72,70)\)
- Multiplicity: 8
- Dimension: 132
- Dominant: No
\(\lambda=(77,75,69)\)
- Multiplicity: 8
- Dimension: 105
- Dominant: No
\(\lambda=(82,73,66)\)
- Multiplicity: 7
- Dimension: 720
- Dominant: No
\(\lambda=(80,77,64)\)
- Multiplicity: 6
- Dimension: 504
- Dominant: No
\(\lambda=(79,71,71)\)
- Multiplicity: 2
- Dimension: 45
- Dominant: No
\(\lambda=(77,74,70)\)
- Multiplicity: 9
- Dimension: 90
- Dominant: No
\(\lambda=(82,72,67)\)
- Multiplicity: 6
- Dimension: 561
- Dominant: No
\(\lambda=(80,76,65)\)
- Multiplicity: 9
- Dimension: 510
- Dominant: No
\(\lambda=(77,73,71)\)
- Multiplicity: 5
- Dimension: 60
- Dominant: No
\(\lambda=(82,71,68)\)
- Multiplicity: 5
- Dimension: 384
- Dominant: No
\(\lambda=(80,75,66)\)
- Multiplicity: 11
- Dimension: 480
- Dominant: No
\(\lambda=(77,72,72)\)
- Multiplicity: 3
- Dimension: 21
- Dominant: No
\(\lambda=(81,80,60)\)
- Multiplicity: 1
- Dimension: 483
- Dominant: No
\(\lambda=(82,70,69)\)
- Multiplicity: 3
- Dimension: 195
- Dominant: No
\(\lambda=(83,76,62)\)
- Multiplicity: 1
- Dimension: 1380
- Dominant: Yes
\(\lambda=(80,74,67)\)
- Multiplicity: 12
- Dimension: 420
- Dominant: No
\(\lambda=(78,78,65)\)
- Multiplicity: 3
- Dimension: 105
- Dominant: No
\(\lambda=(75,75,71)\)
- Multiplicity: 1
- Dimension: 15
- Dominant: No
\(\lambda=(78,77,66)\)
- Multiplicity: 5
- Dimension: 168
- Dominant: No
\(\lambda=(81,79,61)\)
- Multiplicity: 1
- Dimension: 627
- Dominant: No
\(\lambda=(83,75,63)\)
- Multiplicity: 1
- Dimension: 1287
- Dominant: No
\(\lambda=(80,73,68)\)
- Multiplicity: 11
- Dimension: 336
- Dominant: No
\(\lambda=(75,74,72)\)
- Multiplicity: 2
- Dimension: 15
- Dominant: No
\(\lambda=(78,76,67)\)
- Multiplicity: 9
- Dimension: 195
- Dominant: No
\(\lambda=(81,78,62)\)
- Multiplicity: 3
- Dimension: 714
- Dominant: No
\(\lambda=(83,74,64)\)
- Multiplicity: 2
- Dimension: 1155
- Dominant: No
\(\lambda=(80,72,69)\)
- Multiplicity: 9
- Dimension: 234
- Dominant: No
\(\lambda=(78,75,68)\)
- Multiplicity: 11
- Dimension: 192
- Dominant: No
\(\lambda=(81,77,63)\)
- Multiplicity: 4
- Dimension: 750
- Dominant: No
\(\lambda=(83,73,65)\)
- Multiplicity: 2
- Dimension: 990
- Dominant: No
\(\lambda=(80,71,70)\)
- Multiplicity: 5
- Dimension: 120
- Dominant: No
\(\lambda=(78,74,69)\)
- Multiplicity: 12
- Dimension: 165
- Dominant: No
\(\lambda=(81,76,64)\)
- Multiplicity: 7
- Dimension: 741
- Dominant: No
\(\lambda=(83,72,66)\)
- Multiplicity: 3
- Dimension: 798
- Dominant: No
\(\lambda=(78,73,70)\)
- Multiplicity: 9
- Dimension: 120
- Dominant: No
\(\lambda=(81,75,65)\)
- Multiplicity: 8
- Dimension: 693
- Dominant: No
\(\lambda=(83,71,67)\)
- Multiplicity: 2
- Dimension: 585
- Dominant: No
\(\lambda=(79,79,63)\)
- Multiplicity: 1
- Dimension: 153
- Dominant: No
\(\lambda=(76,76,69)\)
- Multiplicity: 5
- Dimension: 36
- Dominant: No
\(\lambda=(78,72,71)\)
- Multiplicity: 5
- Dimension: 63
- Dominant: No
\(\lambda=(81,74,66)\)
- Multiplicity: 10
- Dimension: 612
- Dominant: No
\(\lambda=(83,70,68)\)
- Multiplicity: 2
- Dimension: 357
- Dominant: No
\(\lambda=(79,78,64)\)
- Multiplicity: 3
- Dimension: 255
- Dominant: No
\(\lambda=(76,75,70)\)
- Multiplicity: 6
- Dimension: 48
- Dominant: No
\(\lambda=(82,79,60)\)
- Multiplicity: 1
- Dimension: 960
- Dominant: Yes
\(\lambda=(81,73,67)\)
- Multiplicity: 9
- Dimension: 504
- Dominant: No
\(\lambda=(79,77,65)\)
- Multiplicity: 5
- Dimension: 312
- Dominant: No
\(\lambda=(76,74,71)\)
- Multiplicity: 6
- Dimension: 42
- Dominant: No
\(\lambda=(82,78,61)\)
- Multiplicity: 2
- Dimension: 1035
- Dominant: No
\(\lambda=(81,72,68)\)
- Multiplicity: 9
- Dimension: 375
- Dominant: No
\(\lambda=(79,76,66)\)
- Multiplicity: 9
- Dimension: 330
- Dominant: No
\(\lambda=(76,73,72)\)
- Multiplicity: 3
- Dimension: 24
- Dominant: No
\(\lambda=(82,77,62)\)
- Multiplicity: 3
- Dimension: 1056
- Dominant: No
\(\lambda=(81,71,69)\)
- Multiplicity: 5
- Dimension: 231
- Dominant: No
\(\lambda=(79,75,67)\)
- Multiplicity: 11
- Dimension: 315
- Dominant: No
\(\lambda=(82,76,63)\)
- Multiplicity: 4
- Dimension: 1029
- Dominant: No
\(\lambda=(81,70,70)\)
- Multiplicity: 3
- Dimension: 78
- Dominant: No
\(\lambda=(80,80,61)\)
- Multiplicity: 1
- Dimension: 210
- Dominant: No
\(\lambda=(79,74,68)\)
- Multiplicity: 12
- Dimension: 273
- Dominant: No
\(\lambda=(77,77,67)\)
- Multiplicity: 2
- Dimension: 66
- Dominant: No
\(\lambda=(82,75,64)\)
- Multiplicity: 6
- Dimension: 960
- Dominant: No
\(\lambda=(80,79,62)\)
- Multiplicity: 2
- Dimension: 360
- Dominant: No
\(\lambda=(79,73,69)\)
- Multiplicity: 10
- Dimension: 210
- Dominant: No
\(\textbf{a}=(68,70,83)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,66,77)\)
- Multiplicity: 284
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,76)\)
- Multiplicity: 883
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,78,63)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,69)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,72,70)\)
- Multiplicity: 585
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,73,82)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,76)\)
- Multiplicity: 883
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,79,75)\)
- Multiplicity: 343
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,69)\)
- Multiplicity: 832
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,81,62)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,66,82)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,81)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,76)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,72,75)\)
- Multiplicity: 1533
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,78,68)\)
- Multiplicity: 567
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,74)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,81)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,79,80)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,65,75)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,71,68)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,67)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,74)\)
- Multiplicity: 1533
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,81)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,72,80)\)
- Multiplicity: 341
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,79)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,67)\)
- Multiplicity: 241
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,80,60)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,78,73)\)
- Multiplicity: 813
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,74)\)
- Multiplicity: 442
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,65,80)\)
- Multiplicity: 124
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,79)\)
- Multiplicity: 343
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,77,66)\)
- Multiplicity: 284
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,72)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,71,73)\)
- Multiplicity: 1116
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,79)\)
- Multiplicity: 442
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,78,78)\)
- Multiplicity: 174
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,65)\)
- Multiplicity: 124
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,72)\)
- Multiplicity: 1533
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,79)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,71,78)\)
- Multiplicity: 872
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,77)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,83,64)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,73,65)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,77,71)\)
- Multiplicity: 1116
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,72)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,64,78)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,77)\)
- Multiplicity: 1004
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,76,64)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,70)\)
- Multiplicity: 366
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,70,71)\)
- Multiplicity: 366
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,71,83)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,77)\)
- Multiplicity: 445
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,77,76)\)
- Multiplicity: 638
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,79,63)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,83,69)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,70)\)
- Multiplicity: 813
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,64,83)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,82)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,70,76)\)
- Multiplicity: 1117
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,75)\)
- Multiplicity: 181
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,76,69)\)
- Multiplicity: 883
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,82,62)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,82)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,77,81)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,63,76)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,75)\)
- Multiplicity: 1589
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,69,69)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,68)\)
- Multiplicity: 442
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,83,74)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,70,81)\)
- Multiplicity: 187
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,80)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,75)\)
- Multiplicity: 181
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,68)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,82,67)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,78,61)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,76,74)\)
- Multiplicity: 1299
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,63,81)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,80)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,75,67)\)
- Multiplicity: 343
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,81,60)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,73)\)
- Multiplicity: 525
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,69,74)\)
- Multiplicity: 705
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,80)\)
- Multiplicity: 181
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,76,79)\)
- Multiplicity: 246
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,66)\)
- Multiplicity: 284
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,82,72)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,72,73)\)
- Multiplicity: 1398
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,69,79)\)
- Multiplicity: 525
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,79,78)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,81,65)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,75,72)\)
- Multiplicity: 1533
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,65,73)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,62,79)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,72,78)\)
- Multiplicity: 872
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,82,77)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,74,65)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,71)\)
- Multiplicity: 872
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,68,72)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,65,78)\)
- Multiplicity: 174
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,75,77)\)
- Multiplicity: 832
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,77,64)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,81,70)\)
- Multiplicity: 187
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,71,71)\)
- Multiplicity: 604
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,72,83)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,68,77)\)
- Multiplicity: 638
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,78,76)\)
- Multiplicity: 420
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,80,63)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,74,70)\)
- Multiplicity: 1004
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,65,83)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,75,82)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,71,76)\)
- Multiplicity: 1299
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,81,75)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,77,69)\)
- Multiplicity: 832
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,83,62)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,68,82)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,78,81)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,64,76)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,74,75)\)
- Multiplicity: 1533
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,70,69)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,80,68)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,76,62)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,61,82)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,71,81)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,81,80)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,67,75)\)
- Multiplicity: 343
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,73,68)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,83,67)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,79,61)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(77,79,65)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,71)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,73,72)\)
- Multiplicity: 1398
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,60,79)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,78)\)
- Multiplicity: 813
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,80,77)\)
- Multiplicity: 77
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,82,64)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,71)\)
- Multiplicity: 1299
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,66,72)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,78)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,73,77)\)
- Multiplicity: 1116
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,76)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,75,64)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,79,70)\)
- Multiplicity: 585
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,71)\)
- Multiplicity: 179
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{30,\lambda}(2,4;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{30,1}(2,4;7)\). 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!
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73 |
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69 |
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70 |
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3
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71 |
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2
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| 2
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72 |
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73 |
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1
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| 11
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| 1
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76 |
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5
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| 9
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| 1
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77 |
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2
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| 5
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78 |
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79 |
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1
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| 1
| 1
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80 |
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1
| 1
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81 |
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Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{30,\textbf{a}}(2,4;7)\). 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!