Current Betti Table Entry:
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0 |
1 |
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3 |
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5 |
6 |
7 |
8 |
9 |
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11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(2,0,0) |
(7,1,0) |
(12,1,1) |
(16,3,1) |
(20,4,2) |
(24,4,4) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
· |
(17,9,0) |
(22,9,1) |
(26,10,2) |
(30,10,4) |
(33,12,5) |
(36,13,7) |
(39,13,10) |
(41,17,10) |
(43,20,11) |
(45,22,13) |
(47,23,16) |
(49,23,20) |
(50,28,20) |
(51,32,21) |
(52,35,23) |
(53,37,26) |
(54,38,30) |
(55,38,35) |
(55,43,36) |
(55,47,38) |
(55,50,41) |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
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· |
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· |
· |
· |
· |
(54,54,44) |
(55,54,49) |
(55,55,54) |
\(\lambda=(38,36,30)\)
- Multiplicity: 1135
- Dimension: 105
- Dominant: No
\(\lambda=(43,34,27)\)
- Multiplicity: 1440
- Dimension: 720
- Dominant: No
\(\lambda=(48,32,24)\)
- Multiplicity: 105
- Dimension: 1989
- Dominant: No
\(\lambda=(44,40,20)\)
- Multiplicity: 68
- Dimension: 1365
- Dominant: No
\(\lambda=(41,37,26)\)
- Multiplicity: 1287
- Dimension: 510
- Dominant: No
\(\lambda=(50,27,27)\)
- Multiplicity: 3
- Dimension: 300
- Dominant: No
\(\lambda=(46,35,23)\)
- Multiplicity: 282
- Dimension: 1950
- Dominant: No
\(\lambda=(38,34,32)\)
- Multiplicity: 851
- Dimension: 60
- Dominant: No
\(\lambda=(43,32,29)\)
- Multiplicity: 1088
- Dimension: 384
- Dominant: No
\(\lambda=(48,30,26)\)
- Multiplicity: 99
- Dimension: 1140
- Dominant: No
\(\lambda=(49,36,19)\)
- Multiplicity: 4
- Dimension: 4032
- Dominant: No
\(\lambda=(44,38,22)\)
- Multiplicity: 283
- Dimension: 1428
- Dominant: No
\(\lambda=(41,35,28)\)
- Multiplicity: 1886
- Dimension: 420
- Dominant: No
\(\lambda=(42,41,21)\)
- Multiplicity: 76
- Dimension: 483
- Dominant: No
\(\lambda=(47,39,18)\)
- Multiplicity: 7
- Dimension: 3069
- Dominant: No
\(\lambda=(51,31,22)\)
- Multiplicity: 1
- Dimension: 3255
- Dominant: No
\(\lambda=(46,33,25)\)
- Multiplicity: 437
- Dimension: 1449
- Dominant: No
\(\lambda=(39,38,27)\)
- Multiplicity: 757
- Dimension: 168
- Dominant: No
\(\lambda=(48,28,28)\)
- Multiplicity: 24
- Dimension: 231
- Dominant: No
\(\lambda=(49,34,21)\)
- Multiplicity: 17
- Dimension: 3360
- Dominant: No
\(\lambda=(45,42,17)\)
- Multiplicity: 3
- Dimension: 1560
- Dominant: No
\(\lambda=(44,36,24)\)
- Multiplicity: 688
- Dimension: 1287
- Dominant: No
\(\lambda=(36,35,33)\)
- Multiplicity: 287
- Dimension: 15
- Dominant: No
\(\lambda=(41,33,30)\)
- Multiplicity: 1469
- Dimension: 234
- Dominant: No
\(\lambda=(42,39,23)\)
- Multiplicity: 401
- Dimension: 714
- Dominant: No
\(\lambda=(47,37,20)\)
- Multiplicity: 40
- Dimension: 2871
- Dominant: No
\(\lambda=(51,29,24)\)
- Multiplicity: 2
- Dimension: 2001
- Dominant: No
\(\lambda=(46,31,27)\)
- Multiplicity: 397
- Dimension: 840
- Dominant: No
\(\lambda=(39,36,29)\)
- Multiplicity: 1529
- Dimension: 192
- Dominant: No
\(\lambda=(49,32,23)\)
- Multiplicity: 36
- Dimension: 2520
- Dominant: No
\(\lambda=(45,40,19)\)
- Multiplicity: 30
- Dimension: 1848
- Dominant: No
\(\lambda=(44,34,26)\)
- Multiplicity: 1047
- Dimension: 990
- Dominant: No
\(\lambda=(42,37,25)\)
- Multiplicity: 1058
- Dimension: 741
- Dominant: No
\(\lambda=(47,35,22)\)
- Multiplicity: 121
- Dimension: 2457
- Dominant: No
\(\lambda=(51,27,26)\)
- Multiplicity: 1
- Dimension: 675
- Dominant: No
\(\lambda=(46,29,29)\)
- Multiplicity: 100
- Dimension: 171
- Dominant: No
\(\lambda=(43,43,18)\)
- Multiplicity: 4
- Dimension: 351
- Dominant: No
\(\lambda=(39,34,31)\)
- Multiplicity: 1329
- Dimension: 120
- Dominant: No
\(\lambda=(40,40,24)\)
- Multiplicity: 171
- Dimension: 153
- Dominant: No
\(\lambda=(49,30,25)\)
- Multiplicity: 42
- Dimension: 1560
- Dominant: No
\(\lambda=(45,38,21)\)
- Multiplicity: 144
- Dimension: 1872
- Dominant: No
\(\lambda=(44,32,28)\)
- Multiplicity: 941
- Dimension: 585
- Dominant: No
\(\lambda=(37,37,30)\)
- Multiplicity: 426
- Dimension: 36
- Dominant: No
\(\lambda=(42,35,27)\)
- Multiplicity: 1675
- Dimension: 612
- Dominant: No
\(\lambda=(47,33,24)\)
- Multiplicity: 216
- Dimension: 1875
- Dominant: No
\(\lambda=(48,39,17)\)
- Multiplicity: 1
- Dimension: 3795
- Dominant: Yes
\(\lambda=(43,41,20)\)
- Multiplicity: 54
- Dimension: 825
- Dominant: No
\(\lambda=(40,38,26)\)
- Multiplicity: 890
- Dimension: 312
- Dominant: No
\(\lambda=(49,28,27)\)
- Multiplicity: 19
- Dimension: 528
- Dominant: No
\(\lambda=(50,34,20)\)
- Multiplicity: 2
- Dimension: 4080
- Dominant: No
\(\lambda=(45,36,23)\)
- Multiplicity: 394
- Dimension: 1680
- Dominant: No
\(\lambda=(44,30,30)\)
- Multiplicity: 225
- Dimension: 120
- Dominant: No
\(\lambda=(37,35,32)\)
- Multiplicity: 682
- Dimension: 42
- Dominant: No
\(\lambda=(42,33,29)\)
- Multiplicity: 1535
- Dimension: 375
- Dominant: No
\(\lambda=(47,31,26)\)
- Multiplicity: 233
- Dimension: 1173
- Dominant: No
\(\lambda=(48,37,19)\)
- Multiplicity: 10
- Dimension: 3534
- Dominant: No
\(\lambda=(43,39,22)\)
- Multiplicity: 273
- Dimension: 1035
- Dominant: No
\(\lambda=(40,36,28)\)
- Multiplicity: 1703
- Dimension: 315
- Dominant: No
\(\lambda=(50,32,22)\)
- Multiplicity: 8
- Dimension: 3135
- Dominant: No
\(\lambda=(46,40,18)\)
- Multiplicity: 9
- Dimension: 2415
- Dominant: No
\(\lambda=(45,34,25)\)
- Multiplicity: 673
- Dimension: 1320
- Dominant: No
\(\lambda=(42,31,31)\)
- Multiplicity: 383
- Dimension: 78
- Dominant: No
\(\lambda=(43,37,24)\)
- Multiplicity: 762
- Dimension: 1029
- Dominant: No
\(\lambda=(48,35,21)\)
- Multiplicity: 40
- Dimension: 3045
- Dominant: No
\(\lambda=(47,29,28)\)
- Multiplicity: 104
- Dimension: 399
- Dominant: No
\(\lambda=(44,43,17)\)
- Multiplicity: 1
- Dimension: 783
- Dominant: No
\(\lambda=(40,34,30)\)
- Multiplicity: 1678
- Dimension: 210
- Dominant: No
\(\lambda=(41,40,23)\)
- Multiplicity: 226
- Dimension: 360
- Dominant: No
\(\lambda=(50,30,24)\)
- Multiplicity: 11
- Dimension: 2058
- Dominant: No
\(\lambda=(46,38,20)\)
- Multiplicity: 57
- Dimension: 2394
- Dominant: No
\(\lambda=(45,32,27)\)
- Multiplicity: 704
- Dimension: 840
- Dominant: No
\(\lambda=(38,37,29)\)
- Multiplicity: 866
- Dimension: 99
- Dominant: No
\(\lambda=(43,35,26)\)
- Multiplicity: 1315
- Dimension: 855
- Dominant: No
\(\lambda=(48,33,23)\)
- Multiplicity: 88
- Dimension: 2376
- Dominant: No
\(\lambda=(44,41,19)\)
- Multiplicity: 27
- Dimension: 1242
- Dominant: No
\(\lambda=(40,32,32)\)
- Multiplicity: 419
- Dimension: 45
- Dominant: No
\(\lambda=(41,38,25)\)
- Multiplicity: 859
- Dimension: 504
- Dominant: No
\(\lambda=(50,28,26)\)
- Multiplicity: 8
- Dimension: 897
- Dominant: No
\(\lambda=(46,36,22)\)
- Multiplicity: 187
- Dimension: 2145
- Dominant: No
\(\lambda=(45,30,29)\)
- Multiplicity: 307
- Dimension: 288
- Dominant: No
\(\lambda=(38,35,31)\)
- Multiplicity: 1161
- Dimension: 90
- Dominant: No
\(\lambda=(43,33,28)\)
- Multiplicity: 1379
- Dimension: 561
- Dominant: No
\(\lambda=(48,31,25)\)
- Multiplicity: 113
- Dimension: 1575
- Dominant: No
\(\lambda=(49,37,18)\)
- Multiplicity: 1
- Dimension: 4290
- Dominant: Yes
\(\lambda=(44,39,21)\)
- Multiplicity: 153
- Dimension: 1425
- Dominant: No
\(\lambda=(41,36,27)\)
- Multiplicity: 1661
- Dimension: 480
- Dominant: No
\(\lambda=(42,42,20)\)
- Multiplicity: 17
- Dimension: 276
- Dominant: No
\(\lambda=(47,40,17)\)
- Multiplicity: 2
- Dimension: 3072
- Dominant: No
\(\lambda=(51,32,21)\)
- Multiplicity: 1
- Dimension: 3840
- Dominant: Yes
\(\lambda=(46,34,24)\)
- Multiplicity: 367
- Dimension: 1716
- Dominant: No
\(\lambda=(38,33,33)\)
- Multiplicity: 324
- Dimension: 21
- Dominant: No
\(\lambda=(39,39,26)\)
- Multiplicity: 333
- Dimension: 105
- Dominant: No
\(\lambda=(43,31,30)\)
- Multiplicity: 603
- Dimension: 195
- Dominant: No
\(\lambda=(48,29,27)\)
- Multiplicity: 71
- Dimension: 690
- Dominant: No
\(\lambda=(49,35,20)\)
- Multiplicity: 9
- Dimension: 3720
- Dominant: No
\(\lambda=(45,43,16)\)
- Multiplicity: 1
- Dimension: 1302
- Dominant: Yes
\(\lambda=(44,37,23)\)
- Multiplicity: 474
- Dimension: 1380
- Dominant: No
\(\lambda=(36,36,32)\)
- Multiplicity: 249
- Dimension: 15
- Dominant: No
\(\lambda=(41,34,29)\)
- Multiplicity: 1831
- Dimension: 336
- Dominant: No
\(\lambda=(42,40,22)\)
- Multiplicity: 190
- Dimension: 627
- Dominant: No
\(\lambda=(47,38,19)\)
- Multiplicity: 18
- Dimension: 3000
- Dominant: No
\(\lambda=(51,30,23)\)
- Multiplicity: 2
- Dimension: 2640
- Dominant: No
\(\lambda=(46,32,26)\)
- Multiplicity: 445
- Dimension: 1155
- Dominant: No
\(\lambda=(39,37,28)\)
- Multiplicity: 1213
- Dimension: 195
- Dominant: No
\(\lambda=(49,33,22)\)
- Multiplicity: 26
- Dimension: 2958
- Dominant: No
\(\lambda=(45,41,18)\)
- Multiplicity: 11
- Dimension: 1740
- Dominant: No
\(\lambda=(44,35,25)\)
- Multiplicity: 907
- Dimension: 1155
- Dominant: No
\(\lambda=(36,34,34)\)
- Multiplicity: 115
- Dimension: 6
- Dominant: No
\(\lambda=(41,32,31)\)
- Multiplicity: 818
- Dimension: 120
- Dominant: No
\(\lambda=(42,38,24)\)
- Multiplicity: 688
- Dimension: 750
- Dominant: No
\(\lambda=(47,36,21)\)
- Multiplicity: 74
- Dimension: 2688
- Dominant: No
\(\lambda=(51,28,25)\)
- Multiplicity: 2
- Dimension: 1344
- Dominant: No
\(\lambda=(46,30,28)\)
- Multiplicity: 268
- Dimension: 510
- Dominant: No
\(\lambda=(39,35,30)\)
- Multiplicity: 1600
- Dimension: 165
- Dominant: No
\(\lambda=(49,31,24)\)
- Multiplicity: 42
- Dimension: 2052
- Dominant: No
\(\lambda=(45,39,20)\)
- Multiplicity: 73
- Dimension: 1890
- Dominant: No
\(\lambda=(44,33,27)\)
- Multiplicity: 1082
- Dimension: 798
- Dominant: No
\(\lambda=(42,36,26)\)
- Multiplicity: 1405
- Dimension: 693
- Dominant: No
\(\lambda=(47,34,23)\)
- Multiplicity: 171
- Dimension: 2184
- Dominant: No
\(\lambda=(43,42,19)\)
- Multiplicity: 16
- Dimension: 624
- Dominant: No
\(\lambda=(39,33,32)\)
- Multiplicity: 759
- Dimension: 63
- Dominant: No
\(\lambda=(40,39,25)\)
- Multiplicity: 484
- Dimension: 255
- Dominant: No
\(\lambda=(50,35,19)\)
- Multiplicity: 1
- Dimension: 4488
- Dominant: Yes
\(\lambda=(49,29,26)\)
- Multiplicity: 34
- Dimension: 1050
- Dominant: No
\(\lambda=(45,37,22)\)
- Multiplicity: 255
- Dimension: 1800
- Dominant: No
\(\lambda=(44,31,29)\)
- Multiplicity: 653
- Dimension: 357
- Dominant: No
\(\lambda=(37,36,31)\)
- Multiplicity: 674
- Dimension: 48
- Dominant: No
\(\lambda=(42,34,28)\)
- Multiplicity: 1723
- Dimension: 504
- Dominant: No
\(\lambda=(47,32,25)\)
- Multiplicity: 242
- Dimension: 1536
- Dominant: No
\(\lambda=(48,38,18)\)
- Multiplicity: 3
- Dimension: 3696
- Dominant: No
\(\lambda=(43,40,21)\)
- Multiplicity: 130
- Dimension: 960
- Dominant: No
\(\lambda=(40,37,27)\)
- Multiplicity: 1351
- Dimension: 330
- Dominant: No
\(\lambda=(50,33,21)\)
- Multiplicity: 5
- Dimension: 3627
- Dominant: No
\(\lambda=(46,41,17)\)
- Multiplicity: 3
- Dimension: 2325
- Dominant: No
\(\lambda=(45,35,24)\)
- Multiplicity: 547
- Dimension: 1518
- Dominant: No
\(\lambda=(37,34,33)\)
- Multiplicity: 419
- Dimension: 24
- Dominant: No
\(\lambda=(42,32,30)\)
- Multiplicity: 1046
- Dimension: 231
- Dominant: No
\(\lambda=(47,30,27)\)
- Multiplicity: 185
- Dimension: 792
- Dominant: No
\(\lambda=(48,36,20)\)
- Multiplicity: 21
- Dimension: 3315
- Dominant: No
\(\lambda=(43,38,23)\)
- Multiplicity: 482
- Dimension: 1056
- Dominant: No
\(\lambda=(40,35,29)\)
- Multiplicity: 1861
- Dimension: 273
- Dominant: No
\(\lambda=(41,41,22)\)
- Multiplicity: 75
- Dimension: 210
- Dominant: No
\(\lambda=(50,31,23)\)
- Multiplicity: 11
- Dimension: 2610
- Dominant: No
\(\lambda=(46,39,19)\)
- Multiplicity: 27
- Dimension: 2436
- Dominant: No
\(\lambda=(45,33,26)\)
- Multiplicity: 740
- Dimension: 1092
- Dominant: No
\(\lambda=(38,38,28)\)
- Multiplicity: 424
- Dimension: 66
- Dominant: No
\(\lambda=(43,36,25)\)
- Multiplicity: 1057
- Dimension: 960
- Dominant: No
\(\lambda=(48,34,22)\)
- Multiplicity: 62
- Dimension: 2730
- Dominant: No
\(\lambda=(44,42,18)\)
- Multiplicity: 7
- Dimension: 1050
- Dominant: No
\(\lambda=(35,35,34)\)
- Multiplicity: 67
- Dimension: 3
- Dominant: No
\(\lambda=(40,33,31)\)
- Multiplicity: 1191
- Dimension: 132
- Dominant: No
\(\lambda=(41,39,24)\)
- Multiplicity: 497
- Dimension: 456
- Dominant: No
\(\lambda=(50,29,25)\)
- Multiplicity: 12
- Dimension: 1485
- Dominant: No
\(\lambda=(46,37,21)\)
- Multiplicity: 114
- Dimension: 2295
- Dominant: No
\(\lambda=(45,31,28)\)
- Multiplicity: 557
- Dimension: 570
- Dominant: No
\(\textbf{a}=(29,46,29)\)
- Multiplicity: 8587
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,24)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,20,38)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,43)\)
- Multiplicity: 37214
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,29)\)
- Multiplicity: 155973
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,43)\)
- Multiplicity: 37214
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,48)\)
- Multiplicity: 255
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,29)\)
- Multiplicity: 52720
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,34)\)
- Multiplicity: 3241
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,20,43)\)
- Multiplicity: 723
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,48)\)
- Multiplicity: 1255
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,29)\)
- Multiplicity: 64
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,34)\)
- Multiplicity: 217505
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,48)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,20)\)
- Multiplicity: 596
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,34)\)
- Multiplicity: 276775
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,46,39)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,20)\)
- Multiplicity: 140
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,25)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,34)\)
- Multiplicity: 8424
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,39)\)
- Multiplicity: 55092
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,25)\)
- Multiplicity: 13521
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,39)\)
- Multiplicity: 232285
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,30)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,25)\)
- Multiplicity: 25456
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,39)\)
- Multiplicity: 33065
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,39,44)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,30)\)
- Multiplicity: 33347
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,25)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,18,39)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,32,44)\)
- Multiplicity: 28964
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,30)\)
- Multiplicity: 220321
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,25,44)\)
- Multiplicity: 13521
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,49)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,30)\)
- Multiplicity: 33347
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,35)\)
- Multiplicity: 13521
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,18,44)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,49)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,30)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,21)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,35)\)
- Multiplicity: 307251
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,18,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,21)\)
- Multiplicity: 1998
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,35)\)
- Multiplicity: 190570
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,44,40)\)
- Multiplicity: 596
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,21)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,26)\)
- Multiplicity: 342
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,35)\)
- Multiplicity: 2068
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,40)\)
- Multiplicity: 77785
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,26)\)
- Multiplicity: 37809
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,40)\)
- Multiplicity: 158608
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,49,31)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,35,26)\)
- Multiplicity: 28012
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,23,40)\)
- Multiplicity: 9745
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,37,45)\)
- Multiplicity: 1994
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,42,31)\)
- Multiplicity: 89782
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,28,26)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,30,45)\)
- Multiplicity: 17689
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,35,31)\)
- Multiplicity: 250804
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,47,17)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,49,36)\)
- Multiplicity: 6
- Dimension: 1
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- Dimension: 1
- Error: 0
\(\textbf{a}=(43,42,19)\)
- Multiplicity: 245
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,44,38)\)
- Multiplicity: 2922
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,23,33)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,35,19)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,49,24)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,37,38)\)
- Multiplicity: 168009
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,42,24)\)
- Multiplicity: 15716
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,30,38)\)
- Multiplicity: 212464
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,44,43)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,49,29)\)
- Multiplicity: 342
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,24)\)
- Multiplicity: 5730
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,23,38)\)
- Multiplicity: 7266
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,37,43)\)
- Multiplicity: 12463
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,29)\)
- Multiplicity: 78424
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,30,43)\)
- Multiplicity: 56469
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,37,48)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,29)\)
- Multiplicity: 134255
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,49,34)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,23,43)\)
- Multiplicity: 7266
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,48)\)
- Multiplicity: 1103
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,28,29)\)
- Multiplicity: 3601
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,42,34)\)
- Multiplicity: 66102
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,16,43)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,48)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,20)\)
- Multiplicity: 140
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,35,34)\)
- Multiplicity: 375433
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,20)\)
- Multiplicity: 596
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,28,34)\)
- Multiplicity: 66102
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,42,39)\)
- Multiplicity: 8844
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,25)\)
- Multiplicity: 2221
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,21,34)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,35,39)\)
- Multiplicity: 190570
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,25)\)
- Multiplicity: 33065
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,39)\)
- Multiplicity: 118951
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,42,44)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,30)\)
- Multiplicity: 3325
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,25)\)
- Multiplicity: 4643
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,21,39)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,35,44)\)
- Multiplicity: 13521
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,30)\)
- Multiplicity: 158608
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,28,44)\)
- Multiplicity: 28964
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,49)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,30)\)
- Multiplicity: 122241
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,16)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,35)\)
- Multiplicity: 607
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,21,44)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,49)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,30)\)
- Multiplicity: 1103
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,35)\)
- Multiplicity: 134255
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,49)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,21)\)
- Multiplicity: 995
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,35)\)
- Multiplicity: 351267
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,47,40)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,21)\)
- Multiplicity: 995
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,35)\)
- Multiplicity: 28012
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,40)\)
- Multiplicity: 18875
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,26)\)
- Multiplicity: 11386
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,19,35)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,40)\)
- Multiplicity: 175203
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,26)\)
- Multiplicity: 52843
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,40)\)
- Multiplicity: 52843
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,40,45)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,31)\)
- Multiplicity: 16452
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,26)\)
- Multiplicity: 2834
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,19,40)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,45)\)
- Multiplicity: 11386
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,31)\)
- Multiplicity: 250804
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,45)\)
- Multiplicity: 11386
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,50)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,31)\)
- Multiplicity: 89782
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,17)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,36)\)
- Multiplicity: 3557
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,19,45)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,50)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,31)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,22)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,36)\)
- Multiplicity: 212464
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,22)\)
- Multiplicity: 3822
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,36)\)
- Multiplicity: 269193
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,45,41)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,27)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,22)\)
- Multiplicity: 1185
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,36)\)
- Multiplicity: 8920
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,41)\)
- Multiplicity: 30323
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,27)\)
- Multiplicity: 37214
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,41)\)
- Multiplicity: 130668
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,38,46)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,32)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,27)\)
- Multiplicity: 66267
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,41)\)
- Multiplicity: 18049
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,46)\)
- Multiplicity: 7381
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,32)\)
- Multiplicity: 52720
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,27)\)
- Multiplicity: 1255
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,17,41)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,46)\)
- Multiplicity: 3241
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,32)\)
- Multiplicity: 318032
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,18)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,51)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,32)\)
- Multiplicity: 52720
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,18)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,37)\)
- Multiplicity: 12463
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,17,46)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,51)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,32)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,23)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,37)\)
- Multiplicity: 269193
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,23)\)
- Multiplicity: 9745
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,37)\)
- Multiplicity: 168009
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,43,42)\)
- Multiplicity: 245
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,28)\)
- Multiplicity: 1308
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,23)\)
- Multiplicity: 1037
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,37)\)
- Multiplicity: 1994
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,42)\)
- Multiplicity: 37809
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,28)\)
- Multiplicity: 87244
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,42)\)
- Multiplicity: 78424
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,47)\)
- Multiplicity: 314
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,28)\)
- Multiplicity: 66102
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,33)\)
- Multiplicity: 433
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,22,42)\)
- Multiplicity: 4465
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,47)\)
- Multiplicity: 3601
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,28)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,33)\)
- Multiplicity: 122241
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,47)\)
- Multiplicity: 607
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,33)\)
- Multiplicity: 328112
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,19)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,48,38)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,33)\)
- Multiplicity: 24245
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,19)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,38)\)
- Multiplicity: 30323
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,24)\)
- Multiplicity: 3241
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,38)\)
- Multiplicity: 276775
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,24)\)
- Multiplicity: 18049
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,27,38)\)
- Multiplicity: 84215
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,41,43)\)
- Multiplicity: 723
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{16,\lambda}(2,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{16,1}(2,2;6)\). 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 \(\beta_{16,\textbf{a}}(2,2;6)\). 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!