Current Betti Table Entry:
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(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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166 |
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85 |
67 |
46 |
26 |
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\(\lambda=(38,36,32)\)
- Multiplicity: 620
- Dimension: 60
- Dominant: No
\(\lambda=(43,34,29)\)
- Multiplicity: 1084
- Dimension: 480
- Dominant: No
\(\lambda=(48,32,26)\)
- Multiplicity: 98
- Dimension: 1428
- Dominant: No
\(\lambda=(49,38,19)\)
- Multiplicity: 3
- Dimension: 3840
- Dominant: No
\(\lambda=(44,40,22)\)
- Multiplicity: 140
- Dimension: 1140
- Dominant: No
\(\lambda=(41,37,28)\)
- Multiplicity: 1182
- Dimension: 375
- Dominant: No
\(\lambda=(47,41,18)\)
- Multiplicity: 5
- Dimension: 2604
- Dominant: No
\(\lambda=(51,33,22)\)
- Multiplicity: 1
- Dimension: 3534
- Dominant: No
\(\lambda=(46,35,25)\)
- Multiplicity: 346
- Dimension: 1518
- Dominant: No
\(\lambda=(38,34,34)\)
- Multiplicity: 176
- Dimension: 15
- Dominant: No
\(\lambda=(43,32,31)\)
- Multiplicity: 468
- Dimension: 168
- Dominant: No
\(\lambda=(48,30,28)\)
- Multiplicity: 57
- Dimension: 627
- Dominant: No
\(\lambda=(49,36,21)\)
- Multiplicity: 13
- Dimension: 3360
- Dominant: No
\(\lambda=(45,44,17)\)
- Multiplicity: 1
- Dimension: 840
- Dominant: No
\(\lambda=(44,38,24)\)
- Multiplicity: 417
- Dimension: 1155
- Dominant: No
\(\lambda=(41,35,30)\)
- Multiplicity: 1321
- Dimension: 273
- Dominant: No
\(\lambda=(42,41,23)\)
- Multiplicity: 134
- Dimension: 399
- Dominant: No
\(\lambda=(47,39,20)\)
- Multiplicity: 27
- Dimension: 2610
- Dominant: No
\(\lambda=(51,31,24)\)
- Multiplicity: 2
- Dimension: 2436
- Dominant: No
\(\lambda=(46,33,27)\)
- Multiplicity: 392
- Dimension: 1029
- Dominant: No
\(\lambda=(39,38,29)\)
- Multiplicity: 632
- Dimension: 120
- Dominant: No
\(\lambda=(49,34,23)\)
- Multiplicity: 29
- Dimension: 2688
- Dominant: No
\(\lambda=(45,42,19)\)
- Multiplicity: 14
- Dimension: 1344
- Dominant: No
\(\lambda=(44,36,26)\)
- Multiplicity: 764
- Dimension: 990
- Dominant: No
\(\lambda=(36,35,35)\)
- Multiplicity: 50
- Dimension: 3
- Dominant: No
\(\lambda=(41,33,32)\)
- Multiplicity: 591
- Dimension: 99
- Dominant: No
\(\lambda=(42,39,25)\)
- Multiplicity: 525
- Dimension: 570
- Dominant: No
\(\lambda=(47,37,22)\)
- Multiplicity: 86
- Dimension: 2376
- Dominant: No
\(\lambda=(51,29,26)\)
- Multiplicity: 1
- Dimension: 1242
- Dominant: No
\(\lambda=(46,31,29)\)
- Multiplicity: 230
- Dimension: 456
- Dominant: No
\(\lambda=(39,36,31)\)
- Multiplicity: 976
- Dimension: 120
- Dominant: No
\(\lambda=(49,32,25)\)
- Multiplicity: 39
- Dimension: 1872
- Dominant: No
\(\lambda=(45,40,21)\)
- Multiplicity: 79
- Dimension: 1560
- Dominant: No
\(\lambda=(44,34,28)\)
- Multiplicity: 877
- Dimension: 693
- Dominant: No
\(\lambda=(42,37,27)\)
- Multiplicity: 1078
- Dimension: 561
- Dominant: No
\(\lambda=(43,43,20)\)
- Multiplicity: 12
- Dimension: 300
- Dominant: No
\(\lambda=(48,41,17)\)
- Multiplicity: 1
- Dimension: 3300
- Dominant: Yes
\(\lambda=(47,35,24)\)
- Multiplicity: 171
- Dimension: 1950
- Dominant: No
\(\lambda=(39,34,33)\)
- Multiplicity: 483
- Dimension: 48
- Dominant: No
\(\lambda=(40,40,26)\)
- Multiplicity: 194
- Dimension: 120
- Dominant: No
\(\lambda=(49,30,27)\)
- Multiplicity: 29
- Dimension: 960
- Dominant: No
\(\lambda=(50,36,20)\)
- Multiplicity: 2
- Dimension: 4080
- Dominant: No
\(\lambda=(45,38,23)\)
- Multiplicity: 249
- Dimension: 1536
- Dominant: No
\(\lambda=(44,32,30)\)
- Multiplicity: 513
- Dimension: 312
- Dominant: No
\(\lambda=(37,37,32)\)
- Multiplicity: 245
- Dimension: 21
- Dominant: No
\(\lambda=(42,35,29)\)
- Multiplicity: 1316
- Dimension: 420
- Dominant: No
\(\lambda=(43,41,22)\)
- Multiplicity: 114
- Dimension: 690
- Dominant: No
\(\lambda=(48,39,19)\)
- Multiplicity: 7
- Dimension: 3255
- Dominant: No
\(\lambda=(47,33,26)\)
- Multiplicity: 219
- Dimension: 1380
- Dominant: No
\(\lambda=(40,38,28)\)
- Multiplicity: 819
- Dimension: 231
- Dominant: No
\(\lambda=(50,34,22)\)
- Multiplicity: 6
- Dimension: 3315
- Dominant: No
\(\lambda=(46,42,18)\)
- Multiplicity: 4
- Dimension: 1875
- Dominant: No
\(\lambda=(45,36,25)\)
- Multiplicity: 496
- Dimension: 1320
- Dominant: No
\(\lambda=(37,35,34)\)
- Multiplicity: 212
- Dimension: 15
- Dominant: No
\(\lambda=(42,33,31)\)
- Multiplicity: 800
- Dimension: 195
- Dominant: No
\(\lambda=(43,39,24)\)
- Multiplicity: 409
- Dimension: 840
- Dominant: No
\(\lambda=(48,37,21)\)
- Multiplicity: 29
- Dimension: 2958
- Dominant: No
\(\lambda=(47,31,28)\)
- Multiplicity: 159
- Dimension: 714
- Dominant: No
\(\lambda=(40,36,30)\)
- Multiplicity: 1223
- Dimension: 210
- Dominant: No
\(\lambda=(50,32,24)\)
- Multiplicity: 10
- Dimension: 2394
- Dominant: No
\(\lambda=(46,40,20)\)
- Multiplicity: 32
- Dimension: 2058
- Dominant: No
\(\lambda=(45,34,27)\)
- Multiplicity: 633
- Dimension: 960
- Dominant: No
\(\lambda=(43,37,26)\)
- Multiplicity: 868
- Dimension: 798
- Dominant: No
\(\lambda=(48,35,23)\)
- Multiplicity: 68
- Dimension: 2457
- Dominant: No
\(\lambda=(44,43,19)\)
- Multiplicity: 7
- Dimension: 675
- Dominant: No
\(\lambda=(40,34,32)\)
- Multiplicity: 794
- Dimension: 105
- Dominant: No
\(\lambda=(41,40,25)\)
- Multiplicity: 297
- Dimension: 288
- Dominant: No
\(\lambda=(50,30,26)\)
- Multiplicity: 9
- Dimension: 1365
- Dominant: No
\(\lambda=(46,38,22)\)
- Multiplicity: 120
- Dimension: 1989
- Dominant: No
\(\lambda=(45,32,29)\)
- Multiplicity: 459
- Dimension: 504
- Dominant: No
\(\lambda=(38,37,31)\)
- Multiplicity: 565
- Dimension: 63
- Dominant: No
\(\lambda=(43,35,28)\)
- Multiplicity: 1152
- Dimension: 612
- Dominant: No
\(\lambda=(48,33,25)\)
- Multiplicity: 101
- Dimension: 1800
- Dominant: No
\(\lambda=(49,39,18)\)
- Multiplicity: 1
- Dimension: 3993
- Dominant: Yes
\(\lambda=(44,41,21)\)
- Multiplicity: 70
- Dimension: 1050
- Dominant: No
\(\lambda=(41,38,27)\)
- Multiplicity: 887
- Dimension: 384
- Dominant: No
\(\lambda=(47,42,17)\)
- Multiplicity: 1
- Dimension: 2496
- Dominant: No
\(\lambda=(51,34,21)\)
- Multiplicity: 1
- Dimension: 4032
- Dominant: Yes
\(\lambda=(50,28,28)\)
- Multiplicity: 2
- Dimension: 276
- Dominant: No
\(\lambda=(46,36,24)\)
- Multiplicity: 269
- Dimension: 1716
- Dominant: No
\(\lambda=(38,35,33)\)
- Multiplicity: 497
- Dimension: 42
- Dominant: No
\(\lambda=(43,33,30)\)
- Multiplicity: 854
- Dimension: 330
- Dominant: No
\(\lambda=(48,31,27)\)
- Multiplicity: 89
- Dimension: 1035
- Dominant: No
\(\lambda=(49,37,20)\)
- Multiplicity: 7
- Dimension: 3627
- Dominant: No
\(\lambda=(45,45,16)\)
- Multiplicity: 1
- Dimension: 465
- Dominant: Yes
\(\lambda=(44,39,23)\)
- Multiplicity: 266
- Dimension: 1173
- Dominant: No
\(\lambda=(41,36,29)\)
- Multiplicity: 1343
- Dimension: 336
- Dominant: No
\(\lambda=(42,42,22)\)
- Multiplicity: 36
- Dimension: 231
- Dominant: No
\(\lambda=(47,40,19)\)
- Multiplicity: 11
- Dimension: 2640
- Dominant: No
\(\lambda=(51,32,23)\)
- Multiplicity: 1
- Dimension: 3000
- Dominant: No
\(\lambda=(46,34,26)\)
- Multiplicity: 384
- Dimension: 1287
- Dominant: No
\(\lambda=(39,39,28)\)
- Multiplicity: 316
- Dimension: 78
- Dominant: No
\(\lambda=(48,29,29)\)
- Multiplicity: 22
- Dimension: 210
- Dominant: No
\(\lambda=(49,35,22)\)
- Multiplicity: 21
- Dimension: 3045
- Dominant: No
\(\lambda=(45,43,18)\)
- Multiplicity: 5
- Dimension: 1131
- Dominant: No
\(\lambda=(44,37,25)\)
- Multiplicity: 606
- Dimension: 1092
- Dominant: No
\(\lambda=(36,36,34)\)
- Multiplicity: 82
- Dimension: 6
- Dominant: No
\(\lambda=(41,34,31)\)
- Multiplicity: 1054
- Dimension: 192
- Dominant: No
\(\lambda=(42,40,24)\)
- Multiplicity: 284
- Dimension: 510
- Dominant: No
\(\lambda=(47,38,21)\)
- Multiplicity: 50
- Dimension: 2520
- Dominant: No
\(\lambda=(51,30,25)\)
- Multiplicity: 2
- Dimension: 1848
- Dominant: No
\(\lambda=(46,32,28)\)
- Multiplicity: 330
- Dimension: 750
- Dominant: No
\(\lambda=(39,37,30)\)
- Multiplicity: 899
- Dimension: 132
- Dominant: No
\(\lambda=(49,33,24)\)
- Multiplicity: 36
- Dimension: 2295
- Dominant: No
\(\lambda=(45,41,20)\)
- Multiplicity: 39
- Dimension: 1485
- Dominant: No
\(\lambda=(44,35,27)\)
- Multiplicity: 883
- Dimension: 855
- Dominant: No
\(\lambda=(42,38,26)\)
- Multiplicity: 791
- Dimension: 585
- Dominant: No
\(\lambda=(47,36,23)\)
- Multiplicity: 127
- Dimension: 2184
- Dominant: No
\(\lambda=(51,28,27)\)
- Multiplicity: 1
- Dimension: 624
- Dominant: No
\(\lambda=(46,30,30)\)
- Multiplicity: 76
- Dimension: 153
- Dominant: No
\(\lambda=(39,35,32)\)
- Multiplicity: 841
- Dimension: 90
- Dominant: No
\(\lambda=(49,31,26)\)
- Multiplicity: 37
- Dimension: 1425
- Dominant: No
\(\lambda=(50,37,19)\)
- Multiplicity: 1
- Dimension: 4389
- Dominant: Yes
\(\lambda=(45,39,22)\)
- Multiplicity: 153
- Dimension: 1575
- Dominant: No
\(\lambda=(44,33,29)\)
- Multiplicity: 771
- Dimension: 510
- Dominant: No
\(\lambda=(42,36,28)\)
- Multiplicity: 1259
- Dimension: 504
- Dominant: No
\(\lambda=(43,42,21)\)
- Multiplicity: 41
- Dimension: 528
- Dominant: No
\(\lambda=(48,40,18)\)
- Multiplicity: 2
- Dimension: 3312
- Dominant: No
\(\lambda=(47,34,25)\)
- Multiplicity: 204
- Dimension: 1680
- Dominant: No
\(\lambda=(40,39,27)\)
- Multiplicity: 503
- Dimension: 195
- Dominant: No
\(\lambda=(49,29,28)\)
- Multiplicity: 16
- Dimension: 483
- Dominant: No
\(\lambda=(50,35,21)\)
- Multiplicity: 4
- Dimension: 3720
- Dominant: No
\(\lambda=(46,43,17)\)
- Multiplicity: 1
- Dimension: 1674
- Dominant: No
\(\lambda=(45,37,24)\)
- Multiplicity: 375
- Dimension: 1449
- Dominant: No
\(\lambda=(44,31,31)\)
- Multiplicity: 191
- Dimension: 105
- Dominant: No
\(\lambda=(37,36,33)\)
- Multiplicity: 308
- Dimension: 24
- Dominant: No
\(\lambda=(42,34,30)\)
- Multiplicity: 1142
- Dimension: 315
- Dominant: No
\(\lambda=(43,40,23)\)
- Multiplicity: 226
- Dimension: 792
- Dominant: No
\(\lambda=(48,38,20)\)
- Multiplicity: 14
- Dimension: 3135
- Dominant: No
\(\lambda=(47,32,27)\)
- Multiplicity: 203
- Dimension: 1056
- Dominant: No
\(\lambda=(40,37,29)\)
- Multiplicity: 1113
- Dimension: 234
- Dominant: No
\(\lambda=(50,33,23)\)
- Multiplicity: 9
- Dimension: 2871
- Dominant: No
\(\lambda=(46,41,19)\)
- Multiplicity: 15
- Dimension: 2001
- Dominant: No
\(\lambda=(45,35,26)\)
- Multiplicity: 596
- Dimension: 1155
- Dominant: No
\(\lambda=(42,32,32)\)
- Multiplicity: 273
- Dimension: 66
- Dominant: No
\(\lambda=(43,38,25)\)
- Multiplicity: 626
- Dimension: 840
- Dominant: No
\(\lambda=(48,36,22)\)
- Multiplicity: 46
- Dimension: 2730
- Dominant: No
\(\lambda=(47,30,29)\)
- Multiplicity: 87
- Dimension: 360
- Dominant: No
\(\lambda=(40,35,31)\)
- Multiplicity: 1145
- Dimension: 165
- Dominant: No
\(\lambda=(41,41,24)\)
- Multiplicity: 116
- Dimension: 171
- Dominant: No
\(\lambda=(50,31,25)\)
- Multiplicity: 11
- Dimension: 1890
- Dominant: No
\(\lambda=(46,39,21)\)
- Multiplicity: 70
- Dimension: 2052
- Dominant: No
\(\lambda=(45,33,28)\)
- Multiplicity: 594
- Dimension: 741
- Dominant: No
\(\lambda=(38,38,30)\)
- Multiplicity: 310
- Dimension: 45
- Dominant: No
\(\lambda=(43,36,27)\)
- Multiplicity: 1056
- Dimension: 720
- Dominant: No
\(\lambda=(48,34,24)\)
- Multiplicity: 86
- Dimension: 2145
- Dominant: No
\(\lambda=(44,42,20)\)
- Multiplicity: 24
- Dimension: 897
- Dominant: No
\(\lambda=(40,33,33)\)
- Multiplicity: 300
- Dimension: 36
- Dominant: No
\(\lambda=(41,39,26)\)
- Multiplicity: 581
- Dimension: 357
- Dominant: No
\(\lambda=(50,29,27)\)
- Multiplicity: 7
- Dimension: 825
- Dominant: No
\(\lambda=(46,37,23)\)
- Multiplicity: 195
- Dimension: 1875
- Dominant: No
\(\lambda=(45,31,30)\)
- Multiplicity: 254
- Dimension: 255
- Dominant: No
\(\textbf{a}=(29,46,31)\)
- Multiplicity: 7943
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,32,26)\)
- Multiplicity: 937
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,20,40)\)
- Multiplicity: 170
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,34,45)\)
- Multiplicity: 11182
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,39,31)\)
- Multiplicity: 151738
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,27,45)\)
- Multiplicity: 11182
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,50)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,32,31)\)
- Multiplicity: 50317
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,44,17)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,46,36)\)
- Multiplicity: 2351
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,20,45)\)
- Multiplicity: 257
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,50)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,25,31)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,51,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,39,36)\)
- Multiplicity: 151738
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,50)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,44,22)\)
- Multiplicity: 1723
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,32,36)\)
- Multiplicity: 192774
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,46,41)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,51,27)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,37,22)\)
- Multiplicity: 439
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,25,36)\)
- Multiplicity: 6050
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,39,41)\)
- Multiplicity: 27412
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,44,27)\)
- Multiplicity: 18115
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,32,41)\)
- Multiplicity: 110077
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,51,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,37,27)\)
- Multiplicity: 34555
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,25,41)\)
- Multiplicity: 16727
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,39,46)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,44,32)\)
- Multiplicity: 29506
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,30,27)\)
- Multiplicity: 350
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,18,41)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,32,46)\)
- Multiplicity: 7185
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,37,32)\)
- Multiplicity: 200023
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,49,18)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,25,46)\)
- Multiplicity: 3499
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,30,32)\)
- Multiplicity: 29506
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,42,18)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,44,37)\)
- Multiplicity: 9177
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,18,46)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,51)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,23,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,49,23)\)
- Multiplicity: 115
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,37,37)\)
- Multiplicity: 200023
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,42,23)\)
- Multiplicity: 4670
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,30,37)\)
- Multiplicity: 124770
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,44,42)\)
- Multiplicity: 314
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,49,28)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,35,23)\)
- Multiplicity: 334
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,23,37)\)
- Multiplicity: 1449
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,37,42)\)
- Multiplicity: 34555
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,42,28)\)
- Multiplicity: 46503
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,30,42)\)
- Multiplicity: 68503
- Dimension: 1
- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(17,44,45)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,49,31)\)
- Multiplicity: 301
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,35,26)\)
- Multiplicity: 8542
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,23,40)\)
- Multiplicity: 4172
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,37,45)\)
- Multiplicity: 3949
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,42,31)\)
- Multiplicity: 75374
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,30,45)\)
- Multiplicity: 16577
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,37,50)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,35,31)\)
- Multiplicity: 130259
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,47,17)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,49,36)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,23,45)\)
- Multiplicity: 2354
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,50)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,28,31)\)
- Multiplicity: 3287
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,42,36)\)
- Multiplicity: 46503
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,16,45)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,50)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,47,22)\)
- Multiplicity: 439
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,35,36)\)
- Multiplicity: 261064
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,40,22)\)
- Multiplicity: 1723
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,28,36)\)
- Multiplicity: 46503
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,42,41)\)
- Multiplicity: 4670
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,33,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,47,27)\)
- Multiplicity: 2865
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,21,36)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,35,41)\)
- Multiplicity: 90944
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,40,27)\)
- Multiplicity: 45123
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,28,41)\)
- Multiplicity: 57691
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,42,46)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,47,32)\)
- Multiplicity: 2865
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,33,27)\)
- Multiplicity: 6082
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,21,41)\)
- Multiplicity: 797
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,35,46)\)
- Multiplicity: 3499
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,40,32)\)
- Multiplicity: 143315
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,28,46)\)
- Multiplicity: 7185
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,33,32)\)
- Multiplicity: 110077
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,45,18)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,47,37)\)
- Multiplicity: 439
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,21,46)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,51)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,26,32)\)
- Multiplicity: 937
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,40,37)\)
- Multiplicity: 88271
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,51)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,45,23)\)
- Multiplicity: 2354
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,33,37)\)
- Multiplicity: 228331
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,47,42)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,38,23)\)
- Multiplicity: 2354
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,26,37)\)
- Multiplicity: 18808
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,40,42)\)
- Multiplicity: 8825
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,45,28)\)
- Multiplicity: 13637
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,19,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,33,42)\)
- Multiplicity: 75374
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,40,47)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,38,28)\)
- Multiplicity: 65474
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,26,42)\)
- Multiplicity: 23808
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,47)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,45,33)\)
- Multiplicity: 13637
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,31,28)\)
- Multiplicity: 3287
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,19,42)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,38,33)\)
- Multiplicity: 212580
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,50,19)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,47)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,31,33)\)
- Multiplicity: 75374
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,43,19)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,45,38)\)
- Multiplicity: 2354
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,19,47)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,24,33)\)
- Multiplicity: 174
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,50,24)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,38,38)\)
- Multiplicity: 129688
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,43,24)\)
- Multiplicity: 7553
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,31,38)\)
- Multiplicity: 163660
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,45,43)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,50,29)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,36,24)\)
- Multiplicity: 2351
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,24,38)\)
- Multiplicity: 5777
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,38,43)\)
- Multiplicity: 12432
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,43,29)\)
- Multiplicity: 41551
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,31,43)\)
- Multiplicity: 50317
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,38,48)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,36,29)\)
- Multiplicity: 74948
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,50,34)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,24,43)\)
- Multiplicity: 7553
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,48)\)
- Multiplicity: 1125
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,43,34)\)
- Multiplicity: 41551
- Dimension: 1
- Error: 0
\(\textbf{a}=(48,29,29)\)
- Multiplicity: 1295
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,17,43)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,48)\)
- Multiplicity: 515
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,36,34)\)
- Multiplicity: 252441
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,48,20)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,17,48)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(43,29,34)\)
- Multiplicity: 41551
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,41,20)\)
- Multiplicity: 257
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,43,39)\)
- Multiplicity: 7553
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,22,34)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,48,25)\)
- Multiplicity: 727
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,36,39)\)
- Multiplicity: 151738
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,41,25)\)
- Multiplicity: 16727
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,29,39)\)
- Multiplicity: 95737
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,43,44)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,48,30)\)
- Multiplicity: 1249
- Dimension: 1
- Error: 0
\(\textbf{a}=(47,34,25)\)
- Multiplicity: 1750
- Dimension: 1
- Error: 0
\(\textbf{a}=(45,22,39)\)
- Multiplicity: 1272
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,36,44)\)
- Multiplicity: 13386
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,41,30)\)
- Multiplicity: 90944
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,29,44)\)
- Multiplicity: 26811
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,49)\)
- Multiplicity: 35
- Dimension: 1
- Error: 0
\(\textbf{a}=(42,34,30)\)
- Multiplicity: 68503
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,48,35)\)
- Multiplicity: 334
- Dimension: 1
- Error: 0
\(\textbf{a}=(40,22,44)\)
- Multiplicity: 1723
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,49)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(49,27,30)\)
- Multiplicity: 350
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,41,35)\)
- Multiplicity: 90944
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,49)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,46,21)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,34,35)\)
- Multiplicity: 243857
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,48,40)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(46,39,21)\)
- Multiplicity: 399
- Dimension: 1
- Error: 0
\(\textbf{a}=(44,27,35)\)
- Multiplicity: 18115
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,41,40)\)
- Multiplicity: 16727
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,46,26)\)
- Multiplicity: 4785
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,34,40)\)
- Multiplicity: 143315
- Dimension: 1
- Error: 0
\(\textbf{a}=(41,39,26)\)
- Multiplicity: 27412
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,27,40)\)
- Multiplicity: 45123
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,41,45)\)
- Multiplicity: 257
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{16,\lambda}(2,4;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{16,1}(2,4;6)\). 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 \(\beta_{16,\textbf{a}}(2,4;6)\). 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!