Current Betti Table Entry:
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25 |
0 |
(4,0,0) |
(9,1,0) |
(14,1,1) |
(18,3,1) |
(22,4,2) |
(26,4,4) |
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(48,30,16) |
(50,30,20) |
(51,34,21) |
(52,37,23) |
(53,39,26) |
(54,40,30) |
(55,40,35) |
(55,45,36) |
(55,49,38) |
(55,52,41) |
(55,54,45) |
(55,55,50) |
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41 |
60 |
78 |
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85 |
67 |
46 |
26 |
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\(\lambda=(41,39,38)\)
- Multiplicity: 85
- Dimension: 15
- Dominant: No
\(\lambda=(51,35,32)\)
- Multiplicity: 30
- Dimension: 714
- Dominant: No
\(\lambda=(52,41,25)\)
- Multiplicity: 2
- Dimension: 2958
- Dominant: No
\(\lambda=(47,43,28)\)
- Multiplicity: 119
- Dimension: 840
- Dominant: No
\(\lambda=(46,37,35)\)
- Multiplicity: 283
- Dimension: 195
- Dominant: No
\(\lambda=(44,40,34)\)
- Multiplicity: 483
- Dimension: 210
- Dominant: No
\(\lambda=(50,44,24)\)
- Multiplicity: 6
- Dimension: 2058
- Dominant: No
\(\lambda=(49,38,31)\)
- Multiplicity: 172
- Dimension: 960
- Dominant: No
\(\lambda=(52,39,27)\)
- Multiplicity: 7
- Dimension: 2457
- Dominant: No
\(\lambda=(48,47,23)\)
- Multiplicity: 2
- Dimension: 675
- Dominant: No
\(\lambda=(47,41,30)\)
- Multiplicity: 271
- Dimension: 798
- Dominant: No
\(\lambda=(44,38,36)\)
- Multiplicity: 322
- Dimension: 105
- Dominant: No
\(\lambda=(50,42,26)\)
- Multiplicity: 26
- Dimension: 1989
- Dominant: No
\(\lambda=(49,36,33)\)
- Multiplicity: 129
- Dimension: 504
- Dominant: No
\(\lambda=(45,44,29)\)
- Multiplicity: 99
- Dimension: 288
- Dominant: No
\(\lambda=(42,41,35)\)
- Multiplicity: 225
- Dimension: 63
- Dominant: No
\(\lambda=(52,37,29)\)
- Multiplicity: 12
- Dimension: 1800
- Dominant: No
\(\lambda=(48,45,25)\)
- Multiplicity: 17
- Dimension: 1050
- Dominant: No
\(\lambda=(47,39,32)\)
- Multiplicity: 378
- Dimension: 612
- Dominant: No
\(\lambda=(50,40,28)\)
- Multiplicity: 61
- Dimension: 1716
- Dominant: No
\(\lambda=(45,42,31)\)
- Multiplicity: 316
- Dimension: 384
- Dominant: No
\(\lambda=(42,39,37)\)
- Multiplicity: 199
- Dimension: 42
- Dominant: No
\(\lambda=(52,35,31)\)
- Multiplicity: 11
- Dimension: 1035
- Dominant: No
\(\lambda=(48,43,27)\)
- Multiplicity: 73
- Dimension: 1173
- Dominant: No
\(\lambda=(47,37,34)\)
- Multiplicity: 287
- Dimension: 330
- Dominant: No
\(\lambda=(50,38,30)\)
- Multiplicity: 92
- Dimension: 1287
- Dominant: No
\(\lambda=(51,44,23)\)
- Multiplicity: 1
- Dimension: 2640
- Dominant: Yes
\(\lambda=(46,46,26)\)
- Multiplicity: 14
- Dimension: 231
- Dominant: No
\(\lambda=(45,40,33)\)
- Multiplicity: 495
- Dimension: 336
- Dominant: No
\(\lambda=(43,43,32)\)
- Multiplicity: 107
- Dimension: 78
- Dominant: No
\(\lambda=(53,39,26)\)
- Multiplicity: 1
- Dimension: 3045
- Dominant: Yes
\(\lambda=(52,33,33)\)
- Multiplicity: 3
- Dimension: 210
- Dominant: No
\(\lambda=(48,41,29)\)
- Multiplicity: 175
- Dimension: 1092
- Dominant: No
\(\lambda=(40,40,38)\)
- Multiplicity: 41
- Dimension: 6
- Dominant: No
\(\lambda=(45,38,35)\)
- Multiplicity: 397
- Dimension: 192
- Dominant: No
\(\lambda=(50,36,32)\)
- Multiplicity: 82
- Dimension: 750
- Dominant: No
\(\lambda=(51,42,25)\)
- Multiplicity: 7
- Dimension: 2520
- Dominant: No
\(\lambda=(46,44,28)\)
- Multiplicity: 95
- Dimension: 510
- Dominant: No
\(\lambda=(43,41,34)\)
- Multiplicity: 341
- Dimension: 132
- Dominant: No
\(\lambda=(49,45,24)\)
- Multiplicity: 6
- Dimension: 1485
- Dominant: No
\(\lambda=(53,37,28)\)
- Multiplicity: 2
- Dimension: 2295
- Dominant: No
\(\lambda=(48,39,31)\)
- Multiplicity: 267
- Dimension: 855
- Dominant: No
\(\lambda=(50,34,34)\)
- Multiplicity: 21
- Dimension: 153
- Dominant: No
\(\lambda=(51,40,27)\)
- Multiplicity: 20
- Dimension: 2184
- Dominant: No
\(\lambda=(46,42,30)\)
- Multiplicity: 276
- Dimension: 585
- Dominant: No
\(\lambda=(43,39,36)\)
- Multiplicity: 332
- Dimension: 90
- Dominant: No
\(\lambda=(49,43,26)\)
- Multiplicity: 33
- Dimension: 1575
- Dominant: No
\(\lambda=(53,35,30)\)
- Multiplicity: 2
- Dimension: 1425
- Dominant: No
\(\lambda=(48,37,33)\)
- Multiplicity: 238
- Dimension: 510
- Dominant: No
\(\lambda=(51,38,29)\)
- Multiplicity: 36
- Dimension: 1680
- Dominant: No
\(\lambda=(47,46,25)\)
- Multiplicity: 11
- Dimension: 528
- Dominant: No
\(\lambda=(46,40,32)\)
- Multiplicity: 450
- Dimension: 504
- Dominant: No
\(\lambda=(44,43,31)\)
- Multiplicity: 183
- Dimension: 195
- Dominant: No
\(\lambda=(49,41,28)\)
- Multiplicity: 91
- Dimension: 1449
- Dominant: No
\(\lambda=(53,33,32)\)
- Multiplicity: 1
- Dimension: 483
- Dominant: No
\(\lambda=(48,35,35)\)
- Multiplicity: 55
- Dimension: 105
- Dominant: No
\(\lambda=(41,40,37)\)
- Multiplicity: 127
- Dimension: 24
- Dominant: No
\(\lambda=(51,36,31)\)
- Multiplicity: 38
- Dimension: 1056
- Dominant: No
\(\lambda=(52,42,24)\)
- Multiplicity: 1
- Dimension: 3135
- Dominant: Yes
\(\lambda=(47,44,27)\)
- Multiplicity: 65
- Dimension: 792
- Dominant: No
\(\lambda=(46,38,34)\)
- Multiplicity: 419
- Dimension: 315
- Dominant: No
\(\lambda=(44,41,33)\)
- Multiplicity: 419
- Dimension: 234
- Dominant: No
\(\lambda=(50,45,23)\)
- Multiplicity: 2
- Dimension: 2001
- Dominant: No
\(\lambda=(49,39,30)\)
- Multiplicity: 158
- Dimension: 1155
- Dominant: No
\(\lambda=(51,34,33)\)
- Multiplicity: 17
- Dimension: 360
- Dominant: No
\(\lambda=(52,40,26)\)
- Multiplicity: 4
- Dimension: 2730
- Dominant: No
\(\lambda=(48,48,22)\)
- Multiplicity: 1
- Dimension: 378
- Dominant: No
\(\lambda=(47,42,29)\)
- Multiplicity: 196
- Dimension: 840
- Dominant: No
\(\lambda=(46,36,36)\)
- Multiplicity: 108
- Dimension: 66
- Dominant: No
\(\lambda=(44,39,35)\)
- Multiplicity: 441
- Dimension: 165
- Dominant: No
\(\lambda=(50,43,25)\)
- Multiplicity: 13
- Dimension: 2052
- Dominant: No
\(\lambda=(49,37,32)\)
- Multiplicity: 163
- Dimension: 741
- Dominant: No
\(\lambda=(45,45,28)\)
- Multiplicity: 29
- Dimension: 171
- Dominant: No
\(\lambda=(42,42,34)\)
- Multiplicity: 135
- Dimension: 45
- Dominant: No
\(\lambda=(52,38,28)\)
- Multiplicity: 10
- Dimension: 2145
- Dominant: No
\(\lambda=(48,46,24)\)
- Multiplicity: 8
- Dimension: 897
- Dominant: No
\(\lambda=(47,40,31)\)
- Multiplicity: 344
- Dimension: 720
- Dominant: No
\(\lambda=(44,37,37)\)
- Multiplicity: 110
- Dimension: 36
- Dominant: No
\(\lambda=(50,41,27)\)
- Multiplicity: 40
- Dimension: 1875
- Dominant: No
\(\lambda=(49,35,34)\)
- Multiplicity: 70
- Dimension: 255
- Dominant: No
\(\lambda=(45,43,30)\)
- Multiplicity: 193
- Dimension: 357
- Dominant: No
\(\lambda=(42,40,36)\)
- Multiplicity: 263
- Dimension: 60
- Dominant: No
\(\lambda=(52,36,30)\)
- Multiplicity: 13
- Dimension: 1428
- Dominant: No
\(\lambda=(48,44,26)\)
- Multiplicity: 40
- Dimension: 1140
- Dominant: No
\(\lambda=(47,38,33)\)
- Multiplicity: 364
- Dimension: 480
- Dominant: No
\(\lambda=(50,39,29)\)
- Multiplicity: 78
- Dimension: 1518
- Dominant: No
\(\lambda=(45,41,32)\)
- Multiplicity: 420
- Dimension: 375
- Dominant: No
\(\lambda=(42,38,38)\)
- Multiplicity: 81
- Dimension: 15
- Dominant: No
\(\lambda=(52,34,32)\)
- Multiplicity: 8
- Dimension: 627
- Dominant: No
\(\lambda=(48,42,28)\)
- Multiplicity: 124
- Dimension: 1155
- Dominant: No
\(\lambda=(47,36,35)\)
- Multiplicity: 159
- Dimension: 168
- Dominant: No
\(\lambda=(45,39,34)\)
- Multiplicity: 488
- Dimension: 273
- Dominant: No
\(\lambda=(50,37,31)\)
- Multiplicity: 92
- Dimension: 1029
- Dominant: No
\(\lambda=(51,43,24)\)
- Multiplicity: 3
- Dimension: 2610
- Dominant: No
\(\lambda=(46,45,27)\)
- Multiplicity: 39
- Dimension: 399
- Dominant: No
\(\lambda=(43,42,33)\)
- Multiplicity: 244
- Dimension: 120
- Dominant: No
\(\lambda=(49,46,23)\)
- Multiplicity: 2
- Dimension: 1344
- Dominant: No
\(\lambda=(53,38,27)\)
- Multiplicity: 1
- Dimension: 2688
- Dominant: No
\(\lambda=(48,40,30)\)
- Multiplicity: 234
- Dimension: 990
- Dominant: No
\(\lambda=(40,39,39)\)
- Multiplicity: 18
- Dimension: 3
- Dominant: No
\(\lambda=(45,37,36)\)
- Multiplicity: 222
- Dimension: 99
- Dominant: No
\(\lambda=(50,35,33)\)
- Multiplicity: 54
- Dimension: 456
- Dominant: No
\(\lambda=(51,41,26)\)
- Multiplicity: 12
- Dimension: 2376
- Dominant: No
\(\lambda=(46,43,29)\)
- Multiplicity: 170
- Dimension: 570
- Dominant: No
\(\lambda=(43,40,35)\)
- Multiplicity: 386
- Dimension: 120
- Dominant: No
\(\lambda=(49,44,25)\)
- Multiplicity: 16
- Dimension: 1560
- Dominant: No
\(\lambda=(53,36,29)\)
- Multiplicity: 2
- Dimension: 1872
- Dominant: No
\(\lambda=(48,38,32)\)
- Multiplicity: 277
- Dimension: 693
- Dominant: No
\(\lambda=(51,39,28)\)
- Multiplicity: 29
- Dimension: 1950
- Dominant: No
\(\lambda=(47,47,24)\)
- Multiplicity: 1
- Dimension: 300
- Dominant: No
\(\lambda=(46,41,31)\)
- Multiplicity: 367
- Dimension: 561
- Dominant: No
\(\lambda=(43,38,37)\)
- Multiplicity: 194
- Dimension: 48
- Dominant: No
\(\lambda=(44,44,30)\)
- Multiplicity: 79
- Dimension: 120
- Dominant: No
\(\lambda=(49,42,27)\)
- Multiplicity: 61
- Dimension: 1536
- Dominant: No
\(\lambda=(53,34,31)\)
- Multiplicity: 2
- Dimension: 960
- Dominant: No
\(\lambda=(48,36,34)\)
- Multiplicity: 167
- Dimension: 312
- Dominant: No
\(\lambda=(41,41,36)\)
- Multiplicity: 90
- Dimension: 21
- Dominant: No
\(\lambda=(51,37,30)\)
- Multiplicity: 40
- Dimension: 1380
- Dominant: No
\(\lambda=(47,45,26)\)
- Multiplicity: 27
- Dimension: 690
- Dominant: No
\(\lambda=(46,39,33)\)
- Multiplicity: 465
- Dimension: 420
- Dominant: No
\(\lambda=(44,42,32)\)
- Multiplicity: 318
- Dimension: 231
- Dominant: No
\(\lambda=(49,40,29)\)
- Multiplicity: 128
- Dimension: 1320
- Dominant: No
\(\lambda=(50,46,22)\)
- Multiplicity: 1
- Dimension: 1875
- Dominant: Yes
\(\textbf{a}=(39,27,52)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,33,45)\)
- Multiplicity: 20127
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,45,31)\)
- Multiplicity: 10494
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,51,24)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,38)\)
- Multiplicity: 75616
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,40,50)\)
- Multiplicity: 316
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,26,45)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,46,43)\)
- Multiplicity: 3415
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,38,31)\)
- Multiplicity: 2038
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,44,24)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,52,36)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,38)\)
- Multiplicity: 4874
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,33,50)\)
- Multiplicity: 1235
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,43)\)
- Multiplicity: 51364
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,51,29)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,45,36)\)
- Multiplicity: 30583
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,26,50)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,48)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,43)\)
- Multiplicity: 18524
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,52,41)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,50,22)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,29)\)
- Multiplicity: 3857
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,38,36)\)
- Multiplicity: 41514
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,48)\)
- Multiplicity: 3788
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,43)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,45,41)\)
- Multiplicity: 15117
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,37,29)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,34)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,31,36)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,48)\)
- Multiplicity: 4874
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,50,27)\)
- Multiplicity: 181
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,34)\)
- Multiplicity: 31378
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,38,41)\)
- Multiplicity: 75616
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,48)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,45,46)\)
- Multiplicity: 915
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,34)\)
- Multiplicity: 11406
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,43,27)\)
- Multiplicity: 583
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,39)\)
- Multiplicity: 117
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,31,41)\)
- Multiplicity: 8441
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,53)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,38,46)\)
- Multiplicity: 17811
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,50,32)\)
- Multiplicity: 1107
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,39)\)
- Multiplicity: 37387
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,31,46)\)
- Multiplicity: 8441
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,44)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,43,32)\)
- Multiplicity: 18524
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,49,25)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,39)\)
- Multiplicity: 64875
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,38,51)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,24,46)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,44)\)
- Multiplicity: 7074
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,36,32)\)
- Multiplicity: 1107
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,42,25)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,50,37)\)
- Multiplicity: 918
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,39)\)
- Multiplicity: 1513
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,31,51)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,44)\)
- Multiplicity: 42963
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,30)\)
- Multiplicity: 1513
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,43,37)\)
- Multiplicity: 55097
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,24,51)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,49)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,44)\)
- Multiplicity: 7074
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,50,42)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,30)\)
- Multiplicity: 5627
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,48,23)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,36,37)\)
- Multiplicity: 30583
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,49)\)
- Multiplicity: 2536
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,44)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,43,42)\)
- Multiplicity: 26900
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,35,30)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,35)\)
- Multiplicity: 3143
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,29,37)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,49)\)
- Multiplicity: 1513
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,36,42)\)
- Multiplicity: 58299
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,48,28)\)
- Multiplicity: 1082
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,35)\)
- Multiplicity: 48660
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,49)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,43,47)\)
- Multiplicity: 1528
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,29,42)\)
- Multiplicity: 2654
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,41,28)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,35)\)
- Multiplicity: 6681
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,40)\)
- Multiplicity: 1030
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,36,47)\)
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- Error: 0
\(\textbf{a}=(45,27,46)\)
- Multiplicity: 915
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,44)\)
- Multiplicity: 788
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,39,32)\)
- Multiplicity: 8035
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,45,25)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,53,37)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,39)\)
- Multiplicity: 14960
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,34,51)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,44)\)
- Multiplicity: 31378
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,52,30)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,46,37)\)
- Multiplicity: 19740
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,26,39)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,27,51)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,49)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,44)\)
- Multiplicity: 24437
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,30)\)
- Multiplicity: 6673
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,51,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,39,37)\)
- Multiplicity: 64875
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,49)\)
- Multiplicity: 1030
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,44)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,46,42)\)
- Multiplicity: 5627
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,38,30)\)
- Multiplicity: 704
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,44,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,52,35)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,32,37)\)
- Multiplicity: 2536
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,49)\)
- Multiplicity: 2928
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,39,42)\)
- Multiplicity: 64875
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,51,28)\)
- Multiplicity: 117
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,35)\)
- Multiplicity: 28546
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,49)\)
- Multiplicity: 177
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,46,47)\)
- Multiplicity: 139
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,32,42)\)
- Multiplicity: 17630
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,44,28)\)
- Multiplicity: 1878
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,35)\)
- Multiplicity: 28546
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,52,40)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,39,47)\)
- Multiplicity: 8035
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,25,42)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,51,33)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,37,28)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,31,35)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,40)\)
- Multiplicity: 20127
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,32,47)\)
- Multiplicity: 8035
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,44,33)\)
- Multiplicity: 24437
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,50,26)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,40)\)
- Multiplicity: 78652
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,39,52)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,25,47)\)
- Multiplicity: 139
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,45)\)
- Multiplicity: 1998
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,37,33)\)
- Multiplicity: 5813
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,43,26)\)
- Multiplicity: 177
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,51,38)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,40)\)
- Multiplicity: 6031
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,32,52)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,45)\)
- Multiplicity: 28546
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,31)\)
- Multiplicity: 918
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,44,38)\)
- Multiplicity: 41514
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,25,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,50)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,45)\)
- Multiplicity: 10494
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,51,43)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,31)\)
- Multiplicity: 11682
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,49,24)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,37,38)\)
- Multiplicity: 55097
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,50)\)
- Multiplicity: 704
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,45)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,44,43)\)
- Multiplicity: 11682
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,36,31)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,42,24)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,36)\)
- Multiplicity: 1107
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,30,38)\)
- Multiplicity: 704
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,50)\)
- Multiplicity: 918
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,37,43)\)
- Multiplicity: 55097
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,49,29)\)
- Multiplicity: 1030
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,36)\)
- Multiplicity: 51364
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,50)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,44,48)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,30,43)\)
- Multiplicity: 6673
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,41)\)
- Multiplicity: 181
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,48,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,42,29)\)
- Multiplicity: 2654
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,36)\)
- Multiplicity: 20438
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,37,48)\)
- Multiplicity: 5813
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,49,34)\)
- Multiplicity: 3143
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,29,36)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,41)\)
- Multiplicity: 35979
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,30,48)\)
- Multiplicity: 2723
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,46)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,48,27)\)
- Multiplicity: 583
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,42,34)\)
- Multiplicity: 37683
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,41)\)
- Multiplicity: 60752
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,37,53)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,23,48)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,46)\)
- Multiplicity: 3415
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,35,34)\)
- Multiplicity: 3143
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,41,27)\)
- Multiplicity: 181
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,49,39)\)
- Multiplicity: 1513
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,41)\)
- Multiplicity: 1793
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,30,53)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,46)\)
- Multiplicity: 20438
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,32)\)
- Multiplicity: 4874
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,42,39)\)
- Multiplicity: 64875
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,51)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,46)\)
- Multiplicity: 3415
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,49,44)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,32)\)
- Multiplicity: 15117
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,47,25)\)
- Multiplicity: 139
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,35,39)\)
- Multiplicity: 37387
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,51)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,46)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,42,44)\)
- Multiplicity: 17630
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,34,32)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,37)\)
- Multiplicity: 5813
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,28,39)\)
- Multiplicity: 117
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,51)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,35,44)\)
- Multiplicity: 37387
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,47,30)\)
- Multiplicity: 4175
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,37)\)
- Multiplicity: 70323
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,42,49)\)
- Multiplicity: 359
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,28,44)\)
- Multiplicity: 1878
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,42)\)
- Multiplicity: 1082
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,40,30)\)
- Multiplicity: 2723
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,46,23)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,37)\)
- Multiplicity: 11406
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,35,49)\)
- Multiplicity: 3143
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,42)\)
- Multiplicity: 48660
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,53,28)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,47,35)\)
- Multiplicity: 12218
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,28,49)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,47)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,42)\)
- Multiplicity: 37683
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,46,28)\)
- Multiplicity: 1878
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,40,35)\)
- Multiplicity: 44593
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,47)\)
- Multiplicity: 4175
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,42)\)
- Multiplicity: 359
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,53,33)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,39,28)\)
- Multiplicity: 117
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,33,35)\)
- Multiplicity: 1235
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,47,40)\)
- Multiplicity: 6031
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,47)\)
- Multiplicity: 11406
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,33)\)
- Multiplicity: 14960
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,52,26)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,40,40)\)
- Multiplicity: 78652
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,47)\)
- Multiplicity: 788
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,47,45)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,33)\)
- Multiplicity: 14960
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,45,26)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,53,38)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,33,40)\)
- Multiplicity: 20127
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,52)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,40,45)\)
- Multiplicity: 20127
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,32,33)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,52,31)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,38)\)
- Multiplicity: 17811
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,26,40)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{18,\lambda}(2,4;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{18,1}(2,4;6)\). 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 \(\beta_{18,\textbf{a}}(2,4;6)\). 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!