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 |
118 |
89 |
59 |
32 |
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\(\lambda=(68,68,66)\)
- Multiplicity: 38
- Dimension: 6
- Dominant: No
\(\lambda=(73,66,63)\)
- Multiplicity: 476
- Dimension: 192
- Dominant: No
\(\lambda=(74,72,56)\)
- Multiplicity: 210
- Dimension: 510
- Dominant: No
\(\lambda=(79,70,53)\)
- Multiplicity: 56
- Dimension: 2520
- Dominant: No
\(\lambda=(78,64,60)\)
- Multiplicity: 187
- Dimension: 750
- Dominant: No
\(\lambda=(71,69,62)\)
- Multiplicity: 396
- Dimension: 132
- Dominant: No
\(\lambda=(81,65,56)\)
- Multiplicity: 18
- Dimension: 2295
- Dominant: No
\(\lambda=(77,73,52)\)
- Multiplicity: 50
- Dimension: 1485
- Dominant: No
\(\lambda=(76,67,59)\)
- Multiplicity: 484
- Dimension: 855
- Dominant: No
\(\lambda=(74,70,58)\)
- Multiplicity: 471
- Dimension: 585
- Dominant: No
\(\lambda=(79,68,55)\)
- Multiplicity: 101
- Dimension: 2184
- Dominant: No
\(\lambda=(80,74,48)\)
- Multiplicity: 1
- Dimension: 3213
- Dominant: Yes
\(\lambda=(78,62,62)\)
- Multiplicity: 47
- Dimension: 153
- Dominant: No
\(\lambda=(71,67,64)\)
- Multiplicity: 352
- Dimension: 90
- Dominant: No
\(\lambda=(81,63,58)\)
- Multiplicity: 17
- Dimension: 1425
- Dominant: No
\(\lambda=(77,71,54)\)
- Multiplicity: 141
- Dimension: 1575
- Dominant: No
\(\lambda=(76,65,61)\)
- Multiplicity: 383
- Dimension: 510
- Dominant: No
\(\lambda=(74,68,60)\)
- Multiplicity: 653
- Dimension: 504
- Dominant: No
\(\lambda=(79,66,57)\)
- Multiplicity: 131
- Dimension: 1680
- Dominant: No
\(\lambda=(80,72,50)\)
- Multiplicity: 6
- Dimension: 3312
- Dominant: No
\(\lambda=(75,74,53)\)
- Multiplicity: 46
- Dimension: 528
- Dominant: No
\(\lambda=(72,71,59)\)
- Multiplicity: 267
- Dimension: 195
- Dominant: No
\(\lambda=(82,67,53)\)
- Multiplicity: 1
- Dimension: 3720
- Dominant: No
\(\lambda=(81,61,60)\)
- Multiplicity: 7
- Dimension: 483
- Dominant: No
\(\lambda=(78,75,49)\)
- Multiplicity: 5
- Dimension: 1674
- Dominant: No
\(\lambda=(77,69,56)\)
- Multiplicity: 265
- Dimension: 1449
- Dominant: No
\(\lambda=(76,63,63)\)
- Multiplicity: 84
- Dimension: 105
- Dominant: No
\(\lambda=(69,68,65)\)
- Multiplicity: 125
- Dimension: 24
- Dominant: No
\(\lambda=(74,66,62)\)
- Multiplicity: 551
- Dimension: 315
- Dominant: No
\(\lambda=(75,72,55)\)
- Multiplicity: 185
- Dimension: 792
- Dominant: No
\(\lambda=(79,64,59)\)
- Multiplicity: 115
- Dimension: 1056
- Dominant: No
\(\lambda=(80,70,52)\)
- Multiplicity: 19
- Dimension: 3135
- Dominant: No
\(\lambda=(72,69,61)\)
- Multiplicity: 523
- Dimension: 234
- Dominant: No
\(\lambda=(82,65,55)\)
- Multiplicity: 2
- Dimension: 2871
- Dominant: No
\(\lambda=(78,73,51)\)
- Multiplicity: 25
- Dimension: 2001
- Dominant: No
\(\lambda=(77,67,58)\)
- Multiplicity: 355
- Dimension: 1155
- Dominant: No
\(\lambda=(74,64,64)\)
- Multiplicity: 135
- Dimension: 66
- Dominant: No
\(\lambda=(75,70,57)\)
- Multiplicity: 403
- Dimension: 840
- Dominant: No
\(\lambda=(80,68,54)\)
- Multiplicity: 39
- Dimension: 2730
- Dominant: No
\(\lambda=(79,62,61)\)
- Multiplicity: 47
- Dimension: 360
- Dominant: No
\(\lambda=(76,76,50)\)
- Multiplicity: 6
- Dimension: 378
- Dominant: No
\(\lambda=(72,67,63)\)
- Multiplicity: 499
- Dimension: 165
- Dominant: No
\(\lambda=(73,73,56)\)
- Multiplicity: 74
- Dimension: 171
- Dominant: No
\(\lambda=(82,63,57)\)
- Multiplicity: 2
- Dimension: 1890
- Dominant: No
\(\lambda=(78,71,53)\)
- Multiplicity: 76
- Dimension: 2052
- Dominant: No
\(\lambda=(77,65,60)\)
- Multiplicity: 317
- Dimension: 741
- Dominant: No
\(\lambda=(70,70,62)\)
- Multiplicity: 148
- Dimension: 45
- Dominant: No
\(\lambda=(75,68,59)\)
- Multiplicity: 579
- Dimension: 720
- Dominant: No
\(\lambda=(80,66,56)\)
- Multiplicity: 57
- Dimension: 2145
- Dominant: No
\(\lambda=(81,72,49)\)
- Multiplicity: 1
- Dimension: 4080
- Dominant: Yes
\(\lambda=(76,74,52)\)
- Multiplicity: 41
- Dimension: 897
- Dominant: No
\(\lambda=(72,65,65)\)
- Multiplicity: 118
- Dimension: 36
- Dominant: No
\(\lambda=(73,71,58)\)
- Multiplicity: 331
- Dimension: 357
- Dominant: No
\(\lambda=(79,75,48)\)
- Multiplicity: 2
- Dimension: 2310
- Dominant: No
\(\lambda=(82,61,59)\)
- Multiplicity: 1
- Dimension: 825
- Dominant: No
\(\lambda=(78,69,55)\)
- Multiplicity: 153
- Dimension: 1875
- Dominant: No
\(\lambda=(77,63,62)\)
- Multiplicity: 130
- Dimension: 255
- Dominant: No
\(\lambda=(70,68,64)\)
- Multiplicity: 268
- Dimension: 60
- Dominant: No
\(\lambda=(75,66,61)\)
- Multiplicity: 541
- Dimension: 480
- Dominant: No
\(\lambda=(80,64,58)\)
- Multiplicity: 57
- Dimension: 1428
- Dominant: No
\(\lambda=(81,70,51)\)
- Multiplicity: 4
- Dimension: 3840
- Dominant: No
\(\lambda=(76,72,54)\)
- Multiplicity: 142
- Dimension: 1140
- Dominant: No
\(\lambda=(73,69,60)\)
- Multiplicity: 590
- Dimension: 375
- Dominant: No
\(\lambda=(79,73,50)\)
- Multiplicity: 11
- Dimension: 2604
- Dominant: No
\(\lambda=(78,67,57)\)
- Multiplicity: 220
- Dimension: 1518
- Dominant: No
\(\lambda=(70,66,66)\)
- Multiplicity: 80
- Dimension: 15
- Dominant: No
\(\lambda=(75,64,63)\)
- Multiplicity: 223
- Dimension: 168
- Dominant: No
\(\lambda=(80,62,60)\)
- Multiplicity: 33
- Dimension: 627
- Dominant: No
\(\lambda=(81,68,53)\)
- Multiplicity: 10
- Dimension: 3360
- Dominant: No
\(\lambda=(77,76,49)\)
- Multiplicity: 4
- Dimension: 840
- Dominant: No
\(\lambda=(76,70,56)\)
- Multiplicity: 309
- Dimension: 1155
- Dominant: No
\(\lambda=(73,67,62)\)
- Multiplicity: 608
- Dimension: 273
- Dominant: No
\(\lambda=(74,73,55)\)
- Multiplicity: 104
- Dimension: 399
- Dominant: No
\(\lambda=(79,71,52)\)
- Multiplicity: 36
- Dimension: 2610
- Dominant: No
\(\lambda=(78,65,59)\)
- Multiplicity: 216
- Dimension: 1029
- Dominant: No
\(\lambda=(71,70,61)\)
- Multiplicity: 296
- Dimension: 120
- Dominant: No
\(\lambda=(81,66,55)\)
- Multiplicity: 17
- Dimension: 2688
- Dominant: No
\(\lambda=(77,74,51)\)
- Multiplicity: 26
- Dimension: 1344
- Dominant: No
\(\lambda=(76,68,58)\)
- Multiplicity: 464
- Dimension: 990
- Dominant: No
\(\lambda=(68,67,67)\)
- Multiplicity: 17
- Dimension: 3
- Dominant: No
\(\lambda=(73,65,64)\)
- Multiplicity: 258
- Dimension: 99
- Dominant: No
\(\lambda=(74,71,57)\)
- Multiplicity: 331
- Dimension: 570
- Dominant: No
\(\lambda=(79,69,54)\)
- Multiplicity: 76
- Dimension: 2376
- Dominant: No
\(\lambda=(78,63,61)\)
- Multiplicity: 116
- Dimension: 456
- Dominant: No
\(\lambda=(71,68,63)\)
- Multiplicity: 423
- Dimension: 120
- Dominant: No
\(\lambda=(81,64,57)\)
- Multiplicity: 19
- Dimension: 1872
- Dominant: No
\(\lambda=(77,72,53)\)
- Multiplicity: 91
- Dimension: 1560
- Dominant: No
\(\lambda=(76,66,60)\)
- Multiplicity: 475
- Dimension: 693
- Dominant: No
\(\lambda=(74,69,59)\)
- Multiplicity: 578
- Dimension: 561
- Dominant: No
\(\lambda=(79,67,56)\)
- Multiplicity: 118
- Dimension: 1950
- Dominant: No
\(\lambda=(80,73,49)\)
- Multiplicity: 2
- Dimension: 3300
- Dominant: No
\(\lambda=(75,75,52)\)
- Multiplicity: 14
- Dimension: 300
- Dominant: No
\(\lambda=(71,66,65)\)
- Multiplicity: 202
- Dimension: 48
- Dominant: No
\(\lambda=(72,72,58)\)
- Multiplicity: 124
- Dimension: 120
- Dominant: No
\(\lambda=(82,68,52)\)
- Multiplicity: 1
- Dimension: 4080
- Dominant: Yes
\(\lambda=(81,62,59)\)
- Multiplicity: 13
- Dimension: 960
- Dominant: No
\(\lambda=(78,76,48)\)
- Multiplicity: 2
- Dimension: 1392
- Dominant: No
\(\lambda=(77,70,55)\)
- Multiplicity: 204
- Dimension: 1536
- Dominant: No
\(\lambda=(76,64,62)\)
- Multiplicity: 266
- Dimension: 312
- Dominant: No
\(\lambda=(69,69,64)\)
- Multiplicity: 94
- Dimension: 21
- Dominant: No
\(\lambda=(74,67,61)\)
- Multiplicity: 635
- Dimension: 420
- Dominant: No
\(\lambda=(79,65,58)\)
- Multiplicity: 129
- Dimension: 1380
- Dominant: No
\(\lambda=(80,71,51)\)
- Multiplicity: 10
- Dimension: 3255
- Dominant: No
\(\lambda=(75,73,54)\)
- Multiplicity: 100
- Dimension: 690
- Dominant: No
\(\lambda=(72,70,60)\)
- Multiplicity: 421
- Dimension: 231
- Dominant: No
\(\lambda=(82,66,54)\)
- Multiplicity: 2
- Dimension: 3315
- Dominant: No
\(\lambda=(78,74,50)\)
- Multiplicity: 13
- Dimension: 1875
- Dominant: No
\(\lambda=(77,68,57)\)
- Multiplicity: 323
- Dimension: 1320
- Dominant: No
\(\lambda=(69,67,66)\)
- Multiplicity: 84
- Dimension: 15
- Dominant: No
\(\lambda=(74,65,63)\)
- Multiplicity: 359
- Dimension: 195
- Dominant: No
\(\lambda=(75,71,56)\)
- Multiplicity: 286
- Dimension: 840
- Dominant: No
\(\lambda=(80,69,53)\)
- Multiplicity: 26
- Dimension: 2958
- Dominant: No
\(\lambda=(79,63,60)\)
- Multiplicity: 86
- Dimension: 714
- Dominant: No
\(\lambda=(72,68,62)\)
- Multiplicity: 567
- Dimension: 210
- Dominant: No
\(\lambda=(82,64,56)\)
- Multiplicity: 3
- Dimension: 2394
- Dominant: No
\(\lambda=(78,72,52)\)
- Multiplicity: 49
- Dimension: 2058
- Dominant: No
\(\lambda=(77,66,59)\)
- Multiplicity: 358
- Dimension: 960
- Dominant: No
\(\lambda=(75,69,58)\)
- Multiplicity: 505
- Dimension: 798
- Dominant: No
\(\lambda=(80,67,55)\)
- Multiplicity: 46
- Dimension: 2457
- Dominant: No
\(\lambda=(76,75,51)\)
- Multiplicity: 16
- Dimension: 675
- Dominant: No
\(\lambda=(72,66,64)\)
- Multiplicity: 354
- Dimension: 105
- Dominant: No
\(\lambda=(73,72,57)\)
- Multiplicity: 192
- Dimension: 288
- Dominant: No
\(\lambda=(79,76,47)\)
- Multiplicity: 1
- Dimension: 2040
- Dominant: Yes
\(\lambda=(82,62,58)\)
- Multiplicity: 3
- Dimension: 1365
- Dominant: No
\(\lambda=(78,70,54)\)
- Multiplicity: 117
- Dimension: 1989
- Dominant: No
\(\lambda=(77,64,61)\)
- Multiplicity: 240
- Dimension: 504
- Dominant: No
\(\lambda=(70,69,63)\)
- Multiplicity: 241
- Dimension: 63
- Dominant: No
\(\lambda=(75,67,60)\)
- Multiplicity: 594
- Dimension: 612
- Dominant: No
\(\lambda=(80,65,57)\)
- Multiplicity: 56
- Dimension: 1800
- Dominant: No
\(\lambda=(81,71,50)\)
- Multiplicity: 2
- Dimension: 3993
- Dominant: No
\(\lambda=(76,73,53)\)
- Multiplicity: 78
- Dimension: 1050
- Dominant: No
\(\lambda=(73,70,59)\)
- Multiplicity: 478
- Dimension: 384
- Dominant: No
\(\lambda=(79,74,49)\)
- Multiplicity: 6
- Dimension: 2496
- Dominant: No
\(\lambda=(82,60,60)\)
- Multiplicity: 1
- Dimension: 276
- Dominant: No
\(\lambda=(78,68,56)\)
- Multiplicity: 197
- Dimension: 1716
- Dominant: No
\(\lambda=(70,67,65)\)
- Multiplicity: 200
- Dimension: 42
- Dominant: No
\(\lambda=(75,65,62)\)
- Multiplicity: 410
- Dimension: 330
- Dominant: No
\(\lambda=(80,63,59)\)
- Multiplicity: 43
- Dimension: 1035
- Dominant: No
\(\lambda=(81,69,52)\)
- Multiplicity: 6
- Dimension: 3627
- Dominant: No
\(\lambda=(76,71,55)\)
- Multiplicity: 214
- Dimension: 1173
- Dominant: No
\(\lambda=(73,68,61)\)
- Multiplicity: 645
- Dimension: 336
- Dominant: No
\(\lambda=(74,74,54)\)
- Multiplicity: 38
- Dimension: 231
- Dominant: No
\(\lambda=(79,72,51)\)
- Multiplicity: 22
- Dimension: 2640
- Dominant: No
\(\lambda=(78,66,58)\)
- Multiplicity: 238
- Dimension: 1287
- Dominant: No
\(\lambda=(71,71,60)\)
- Multiplicity: 147
- Dimension: 78
- Dominant: No
\(\lambda=(80,61,61)\)
- Multiplicity: 8
- Dimension: 210
- Dominant: No
\(\lambda=(81,67,54)\)
- Multiplicity: 13
- Dimension: 3045
- Dominant: No
\(\lambda=(77,75,50)\)
- Multiplicity: 11
- Dimension: 1131
- Dominant: No
\(\lambda=(76,69,57)\)
- Multiplicity: 387
- Dimension: 1092
- Dominant: No
\(\textbf{a}=(82,56,64)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,55)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,69)\)
- Multiplicity: 97506
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,55)\)
- Multiplicity: 4441
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,69)\)
- Multiplicity: 97506
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,77,74)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,60)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,55)\)
- Multiplicity: 688
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,56,69)\)
- Multiplicity: 3559
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,70,74)\)
- Multiplicity: 18450
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,60)\)
- Multiplicity: 23406
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,63,74)\)
- Multiplicity: 46901
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,70,79)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,82,65)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,60)\)
- Multiplicity: 31695
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,56,74)\)
- Multiplicity: 8313
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,63,79)\)
- Multiplicity: 2057
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,65)\)
- Multiplicity: 30298
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,60)\)
- Multiplicity: 158
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,49,74)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,65)\)
- Multiplicity: 130322
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,51)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,56,79)\)
- Multiplicity: 965
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,65)\)
- Multiplicity: 17741
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,51)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,75,70)\)
- Multiplicity: 10467
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,49,79)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,56)\)
- Multiplicity: 349
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,68,70)\)
- Multiplicity: 112294
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,56)\)
- Multiplicity: 8757
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,61,70)\)
- Multiplicity: 61452
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,75,75)\)
- Multiplicity: 646
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,61)\)
- Multiplicity: 703
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,56)\)
- Multiplicity: 349
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,54,70)\)
- Multiplicity: 922
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,68,75)\)
- Multiplicity: 18972
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,73,61)\)
- Multiplicity: 48526
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,61,75)\)
- Multiplicity: 27343
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,68,80)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,80,66)\)
- Multiplicity: 349
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,66,61)\)
- Multiplicity: 27343
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,78,47)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,54,75)\)
- Multiplicity: 2573
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,61,80)\)
- Multiplicity: 703
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,73,66)\)
- Multiplicity: 63249
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,59,61)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,54,80)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,66,66)\)
- Multiplicity: 125569
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,78,52)\)
- Multiplicity: 305
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,80,71)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(67,66,69)\)
- Multiplicity: 138013
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,80,74)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,55)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,59,69)\)
- Multiplicity: 24894
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,73,74)\)
- Multiplicity: 4982
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,60)\)
- Multiplicity: 4777
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,52,69)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,66,74)\)
- Multiplicity: 43423
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,73,79)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,60)\)
- Multiplicity: 46150
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,59,74)\)
- Multiplicity: 24894
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,66,79)\)
- Multiplicity: 1272
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,78,65)\)
- Multiplicity: 4190
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,60)\)
- Multiplicity: 4777
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,52,74)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,71,65)\)
- Multiplicity: 107020
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,59,79)\)
- Multiplicity: 1851
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,64,65)\)
- Multiplicity: 66642
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,51)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,78,70)\)
- Multiplicity: 922
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,52,79)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,57,65)\)
- Multiplicity: 449
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,71,70)\)
- Multiplicity: 61452
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,56)\)
- Multiplicity: 5358
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,64,70)\)
- Multiplicity: 112294
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,78,75)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,56)\)
- Multiplicity: 3559
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,57,70)\)
- Multiplicity: 10467
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,71,75)\)
- Multiplicity: 7066
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,61)\)
- Multiplicity: 17741
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,64,75)\)
- Multiplicity: 31886
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,71,80)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,61)\)
- Multiplicity: 56833
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,57,75)\)
- Multiplicity: 10467
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,64,80)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,66)\)
- Multiplicity: 15623
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,61)\)
- Multiplicity: 2169
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,50,75)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,57,80)\)
- Multiplicity: 449
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,66)\)
- Multiplicity: 138013
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,52)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,50,80)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,66)\)
- Multiplicity: 43423
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,52)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,76,71)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,55,66)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,57)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,69,71)\)
- Multiplicity: 76935
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,57)\)
- Multiplicity: 12810
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,62,71)\)
- Multiplicity: 76935
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,76,76)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,62)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,57)\)
- Multiplicity: 2745
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,55,71)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,69,76)\)
- Multiplicity: 7647
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,62)\)
- Multiplicity: 43423
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,62,76)\)
- Multiplicity: 19165
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,69,81)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,62)\)
- Multiplicity: 56925
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,48)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,81,67)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,55,76)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,62,81)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,62)\)
- Multiplicity: 687
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,67)\)
- Multiplicity: 38098
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,48,76)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,55,81)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,53)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,67)\)
- Multiplicity: 146672
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,81,72)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,67)\)
- Multiplicity: 23406
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,53)\)
- Multiplicity: 880
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,74,72)\)
- Multiplicity: 8313
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,53,67)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,58)\)
- Multiplicity: 1578
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,67,72)\)
- Multiplicity: 78708
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,58)\)
- Multiplicity: 22241
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,60,72)\)
- Multiplicity: 44309
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,74,77)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,63)\)
- Multiplicity: 2057
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,58)\)
- Multiplicity: 1578
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,53,72)\)
- Multiplicity: 880
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,67,77)\)
- Multiplicity: 6439
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,63)\)
- Multiplicity: 78708
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,60,77)\)
- Multiplicity: 9261
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,67,82)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,63)\)
- Multiplicity: 46901
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,49)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,79,68)\)
- Multiplicity: 688
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,53,77)\)
- Multiplicity: 880
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,60,82)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,63)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,68)\)
- Multiplicity: 68811
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,53,82)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,54)\)
- Multiplicity: 1515
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,68)\)
- Multiplicity: 130322
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,79,73)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,54)\)
- Multiplicity: 922
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,68)\)
- Multiplicity: 10286
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,72,73)\)
- Multiplicity: 14152
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,59)\)
- Multiplicity: 7936
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,65,73)\)
- Multiplicity: 66642
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,59)\)
- Multiplicity: 29724
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,58,73)\)
- Multiplicity: 21219
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,72,78)\)
- Multiplicity: 305
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,64)\)
- Multiplicity: 10258
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,59)\)
- Multiplicity: 629
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,51,73)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,65,78)\)
- Multiplicity: 4190
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,64)\)
- Multiplicity: 112294
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,58,78)\)
- Multiplicity: 3496
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,64)\)
- Multiplicity: 31886
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,50)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,77,69)\)
- Multiplicity: 3559
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,51,78)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{27,\lambda}(2,6;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{27,1}(2,6;7)\). 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 \(\beta_{27,\textbf{a}}(2,6;7)\). 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!