Current Betti Table Entry:
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0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(1,0,0) |
(6,1,0) |
(11,1,1) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
(14,5,0) |
(19,5,1) |
(23,6,2) |
(27,6,4) |
(30,9,4) |
(33,11,5) |
(36,12,7) |
(39,12,10) |
(41,16,10) |
(43,19,11) |
(45,21,13) |
(47,22,16) |
(49,22,20) |
(50,27,20) |
(51,31,21) |
(52,34,23) |
(53,36,26) |
(54,37,30) |
(55,37,35) |
(55,42,36) |
(55,46,38) |
· |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(51,51,31) |
(53,51,35) |
(54,52,39) |
(55,52,44) |
(55,54,48) |
(55,55,53) |
\(\lambda=(23,19,13)\)
- Multiplicity: 990
- Dimension: 210
- Dominant: No
\(\lambda=(33,15,7)\)
- Multiplicity: 26
- Dimension: 2394
- Dominant: No
\(\lambda=(29,23,3)\)
- Multiplicity: 3
- Dimension: 2058
- Dominant: No
\(\lambda=(28,17,10)\)
- Multiplicity: 571
- Dimension: 960
- Dominant: No
\(\lambda=(31,18,6)\)
- Multiplicity: 50
- Dimension: 2457
- Dominant: No
\(\lambda=(35,10,10)\)
- Multiplicity: 1
- Dimension: 351
- Dominant: No
\(\lambda=(26,20,9)\)
- Multiplicity: 577
- Dimension: 798
- Dominant: No
\(\lambda=(23,17,15)\)
- Multiplicity: 683
- Dimension: 105
- Dominant: No
\(\lambda=(24,23,8)\)
- Multiplicity: 158
- Dimension: 288
- Dominant: No
\(\lambda=(33,13,9)\)
- Multiplicity: 35
- Dimension: 1365
- Dominant: No
\(\lambda=(29,21,5)\)
- Multiplicity: 41
- Dimension: 1989
- Dominant: No
\(\lambda=(28,15,12)\)
- Multiplicity: 482
- Dimension: 504
- Dominant: No
\(\lambda=(21,20,14)\)
- Multiplicity: 448
- Dimension: 63
- Dominant: No
\(\lambda=(31,16,8)\)
- Multiplicity: 123
- Dimension: 1800
- Dominant: No
\(\lambda=(27,24,4)\)
- Multiplicity: 11
- Dimension: 1050
- Dominant: No
\(\lambda=(26,18,11)\)
- Multiplicity: 940
- Dimension: 612
- Dominant: No
\(\lambda=(24,21,10)\)
- Multiplicity: 601
- Dimension: 384
- Dominant: No
\(\lambda=(33,11,11)\)
- Multiplicity: 10
- Dimension: 276
- Dominant: No
\(\lambda=(29,19,7)\)
- Multiplicity: 176
- Dimension: 1716
- Dominant: No
\(\lambda=(21,18,16)\)
- Multiplicity: 405
- Dimension: 42
- Dominant: No
\(\lambda=(26,16,13)\)
- Multiplicity: 778
- Dimension: 330
- Dominant: No
\(\lambda=(31,14,10)\)
- Multiplicity: 140
- Dimension: 1035
- Dominant: No
\(\lambda=(36,12,7)\)
- Multiplicity: 1
- Dimension: 2325
- Dominant: Yes
\(\lambda=(32,20,3)\)
- Multiplicity: 1
- Dimension: 3627
- Dominant: Yes
\(\lambda=(27,22,6)\)
- Multiplicity: 104
- Dimension: 1173
- Dominant: No
\(\lambda=(24,19,12)\)
- Multiplicity: 1054
- Dimension: 336
- Dominant: No
\(\lambda=(25,25,5)\)
- Multiplicity: 10
- Dimension: 231
- Dominant: No
\(\lambda=(34,15,6)\)
- Multiplicity: 6
- Dimension: 3000
- Dominant: No
\(\lambda=(29,17,9)\)
- Multiplicity: 363
- Dimension: 1287
- Dominant: No
\(\lambda=(22,22,11)\)
- Multiplicity: 214
- Dimension: 78
- Dominant: No
\(\lambda=(31,12,12)\)
- Multiplicity: 37
- Dimension: 210
- Dominant: No
\(\lambda=(32,18,5)\)
- Multiplicity: 14
- Dimension: 3045
- Dominant: No
\(\lambda=(36,10,9)\)
- Multiplicity: 1
- Dimension: 783
- Dominant: No
\(\lambda=(27,20,8)\)
- Multiplicity: 375
- Dimension: 1092
- Dominant: No
\(\lambda=(19,19,17)\)
- Multiplicity: 74
- Dimension: 6
- Dominant: No
\(\lambda=(24,17,14)\)
- Multiplicity: 897
- Dimension: 192
- Dominant: No
\(\lambda=(25,23,7)\)
- Multiplicity: 132
- Dimension: 510
- Dominant: No
\(\lambda=(30,21,4)\)
- Multiplicity: 10
- Dimension: 2520
- Dominant: No
\(\lambda=(34,13,8)\)
- Multiplicity: 13
- Dimension: 1848
- Dominant: No
\(\lambda=(29,15,11)\)
- Multiplicity: 383
- Dimension: 750
- Dominant: No
\(\lambda=(22,20,13)\)
- Multiplicity: 694
- Dimension: 132
- Dominant: No
\(\lambda=(32,16,7)\)
- Multiplicity: 51
- Dimension: 2295
- Dominant: No
\(\lambda=(28,24,3)\)
- Multiplicity: 2
- Dimension: 1485
- Dominant: No
\(\lambda=(27,18,10)\)
- Multiplicity: 716
- Dimension: 855
- Dominant: No
\(\lambda=(25,21,9)\)
- Multiplicity: 507
- Dimension: 585
- Dominant: No
\(\lambda=(30,19,6)\)
- Multiplicity: 72
- Dimension: 2184
- Dominant: No
\(\lambda=(34,11,10)\)
- Multiplicity: 7
- Dimension: 624
- Dominant: No
\(\lambda=(29,13,13)\)
- Multiplicity: 102
- Dimension: 153
- Dominant: No
\(\lambda=(22,18,15)\)
- Multiplicity: 690
- Dimension: 90
- Dominant: No
\(\lambda=(32,14,9)\)
- Multiplicity: 77
- Dimension: 1425
- Dominant: No
\(\lambda=(28,22,5)\)
- Multiplicity: 44
- Dimension: 1575
- Dominant: No
\(\lambda=(27,16,12)\)
- Multiplicity: 724
- Dimension: 510
- Dominant: No
\(\lambda=(25,19,11)\)
- Multiplicity: 980
- Dimension: 504
- Dominant: No
\(\lambda=(30,17,8)\)
- Multiplicity: 193
- Dimension: 1680
- Dominant: No
\(\lambda=(35,15,5)\)
- Multiplicity: 1
- Dimension: 3696
- Dominant: Yes
\(\lambda=(26,25,4)\)
- Multiplicity: 6
- Dimension: 528
- Dominant: No
\(\lambda=(23,22,10)\)
- Multiplicity: 334
- Dimension: 195
- Dominant: No
\(\lambda=(32,12,11)\)
- Multiplicity: 39
- Dimension: 483
- Dominant: No
\(\lambda=(33,18,4)\)
- Multiplicity: 2
- Dimension: 3720
- Dominant: Yes
\(\lambda=(28,20,7)\)
- Multiplicity: 208
- Dimension: 1449
- Dominant: No
\(\lambda=(27,14,14)\)
- Multiplicity: 183
- Dimension: 105
- Dominant: No
\(\lambda=(20,19,16)\)
- Multiplicity: 252
- Dimension: 24
- Dominant: No
\(\lambda=(25,17,13)\)
- Multiplicity: 996
- Dimension: 315
- Dominant: No
\(\lambda=(31,21,3)\)
- Multiplicity: 1
- Dimension: 3135
- Dominant: No
\(\lambda=(35,13,7)\)
- Multiplicity: 4
- Dimension: 2415
- Dominant: No
\(\lambda=(30,15,10)\)
- Multiplicity: 255
- Dimension: 1056
- Dominant: No
\(\lambda=(26,23,6)\)
- Multiplicity: 83
- Dimension: 792
- Dominant: No
\(\lambda=(23,20,12)\)
- Multiplicity: 846
- Dimension: 234
- Dominant: No
\(\lambda=(33,16,6)\)
- Multiplicity: 15
- Dimension: 2871
- Dominant: No
\(\lambda=(28,18,9)\)
- Multiplicity: 478
- Dimension: 1155
- Dominant: No
\(\lambda=(25,15,15)\)
- Multiplicity: 258
- Dimension: 66
- Dominant: No
\(\lambda=(31,19,5)\)
- Multiplicity: 23
- Dimension: 2730
- Dominant: No
\(\lambda=(35,11,9)\)
- Multiplicity: 4
- Dimension: 1050
- Dominant: No
\(\lambda=(30,13,12)\)
- Multiplicity: 124
- Dimension: 360
- Dominant: No
\(\lambda=(26,21,8)\)
- Multiplicity: 359
- Dimension: 840
- Dominant: No
\(\lambda=(23,18,14)\)
- Multiplicity: 940
- Dimension: 165
- Dominant: No
\(\lambda=(24,24,7)\)
- Multiplicity: 47
- Dimension: 171
- Dominant: No
\(\lambda=(33,14,8)\)
- Multiplicity: 33
- Dimension: 1890
- Dominant: No
\(\lambda=(29,22,4)\)
- Multiplicity: 13
- Dimension: 2052
- Dominant: No
\(\lambda=(28,16,11)\)
- Multiplicity: 585
- Dimension: 741
- Dominant: No
\(\lambda=(21,21,13)\)
- Multiplicity: 252
- Dimension: 45
- Dominant: No
\(\lambda=(31,17,7)\)
- Multiplicity: 87
- Dimension: 2145
- Dominant: No
\(\lambda=(27,25,3)\)
- Multiplicity: 2
- Dimension: 897
- Dominant: No
\(\lambda=(26,19,10)\)
- Multiplicity: 790
- Dimension: 720
- Dominant: No
\(\lambda=(23,16,16)\)
- Multiplicity: 246
- Dimension: 36
- Dominant: No
\(\lambda=(24,22,9)\)
- Multiplicity: 349
- Dimension: 357
- Dominant: No
\(\lambda=(33,12,10)\)
- Multiplicity: 25
- Dimension: 825
- Dominant: No
\(\lambda=(29,20,6)\)
- Multiplicity: 94
- Dimension: 1875
- Dominant: No
\(\lambda=(28,14,13)\)
- Multiplicity: 274
- Dimension: 255
- Dominant: No
\(\lambda=(21,19,15)\)
- Multiplicity: 516
- Dimension: 60
- Dominant: No
\(\lambda=(31,15,9)\)
- Multiplicity: 147
- Dimension: 1428
- Dominant: No
\(\lambda=(27,23,5)\)
- Multiplicity: 40
- Dimension: 1140
- Dominant: No
\(\lambda=(26,17,12)\)
- Multiplicity: 946
- Dimension: 480
- Dominant: No
\(\lambda=(24,20,11)\)
- Multiplicity: 865
- Dimension: 375
- Dominant: No
\(\lambda=(34,16,5)\)
- Multiplicity: 3
- Dimension: 3534
- Dominant: No
\(\lambda=(29,18,8)\)
- Multiplicity: 273
- Dimension: 1518
- Dominant: No
\(\lambda=(21,17,17)\)
- Multiplicity: 156
- Dimension: 15
- Dominant: No
\(\lambda=(26,15,14)\)
- Multiplicity: 439
- Dimension: 168
- Dominant: No
\(\lambda=(31,13,11)\)
- Multiplicity: 105
- Dimension: 627
- Dominant: No
\(\lambda=(32,19,4)\)
- Multiplicity: 4
- Dimension: 3360
- Dominant: No
\(\lambda=(36,11,8)\)
- Multiplicity: 1
- Dimension: 1560
- Dominant: No
\(\lambda=(27,21,7)\)
- Multiplicity: 217
- Dimension: 1155
- Dominant: No
\(\lambda=(24,18,13)\)
- Multiplicity: 1084
- Dimension: 273
- Dominant: No
\(\lambda=(25,24,6)\)
- Multiplicity: 46
- Dimension: 399
- Dominant: No
\(\lambda=(30,22,3)\)
- Multiplicity: 2
- Dimension: 2610
- Dominant: No
\(\lambda=(34,14,7)\)
- Multiplicity: 11
- Dimension: 2436
- Dominant: No
\(\lambda=(29,16,10)\)
- Multiplicity: 406
- Dimension: 1029
- Dominant: No
\(\lambda=(22,21,12)\)
- Multiplicity: 472
- Dimension: 120
- Dominant: No
\(\lambda=(32,17,6)\)
- Multiplicity: 29
- Dimension: 2688
- Dominant: No
\(\lambda=(27,19,9)\)
- Multiplicity: 560
- Dimension: 990
- Dominant: No
\(\lambda=(19,18,18)\)
- Multiplicity: 38
- Dimension: 3
- Dominant: No
\(\lambda=(24,16,15)\)
- Multiplicity: 511
- Dimension: 99
- Dominant: No
\(\lambda=(25,22,8)\)
- Multiplicity: 286
- Dimension: 570
- Dominant: No
\(\lambda=(30,20,5)\)
- Multiplicity: 33
- Dimension: 2376
- Dominant: No
\(\lambda=(34,12,9)\)
- Multiplicity: 13
- Dimension: 1242
- Dominant: No
\(\lambda=(29,14,12)\)
- Multiplicity: 271
- Dimension: 456
- Dominant: No
\(\lambda=(22,19,14)\)
- Multiplicity: 787
- Dimension: 120
- Dominant: No
\(\lambda=(32,15,8)\)
- Multiplicity: 68
- Dimension: 1872
- Dominant: No
\(\lambda=(28,23,4)\)
- Multiplicity: 13
- Dimension: 1560
- Dominant: No
\(\lambda=(27,17,11)\)
- Multiplicity: 790
- Dimension: 693
- Dominant: No
\(\lambda=(25,20,10)\)
- Multiplicity: 758
- Dimension: 561
- Dominant: No
\(\lambda=(30,18,7)\)
- Multiplicity: 132
- Dimension: 1950
- Dominant: No
\(\lambda=(26,26,3)\)
- Multiplicity: 1
- Dimension: 300
- Dominant: No
\(\lambda=(22,17,16)\)
- Multiplicity: 403
- Dimension: 48
- Dominant: No
\(\lambda=(23,23,9)\)
- Multiplicity: 125
- Dimension: 120
- Dominant: No
\(\lambda=(32,13,10)\)
- Multiplicity: 66
- Dimension: 960
- Dominant: No
\(\lambda=(28,21,6)\)
- Multiplicity: 105
- Dimension: 1536
- Dominant: No
\(\lambda=(27,15,13)\)
- Multiplicity: 517
- Dimension: 312
- Dominant: No
\(\lambda=(20,20,15)\)
- Multiplicity: 189
- Dimension: 21
- Dominant: No
\(\lambda=(25,18,12)\)
- Multiplicity: 1078
- Dimension: 420
- Dominant: No
\(\lambda=(35,14,6)\)
- Multiplicity: 2
- Dimension: 3069
- Dominant: No
\(\lambda=(30,16,9)\)
- Multiplicity: 245
- Dimension: 1380
- Dominant: No
\(\lambda=(26,24,5)\)
- Multiplicity: 28
- Dimension: 690
- Dominant: No
\(\lambda=(23,21,11)\)
- Multiplicity: 600
- Dimension: 231
- Dominant: No
\(\lambda=(33,17,5)\)
- Multiplicity: 7
- Dimension: 3315
- Dominant: No
\(\lambda=(28,19,8)\)
- Multiplicity: 339
- Dimension: 1320
- Dominant: No
\(\lambda=(20,18,17)\)
- Multiplicity: 172
- Dimension: 15
- Dominant: No
\(\lambda=(25,16,14)\)
- Multiplicity: 702
- Dimension: 195
- Dominant: No
\(\lambda=(31,20,4)\)
- Multiplicity: 7
- Dimension: 2958
- Dominant: No
\(\lambda=(35,12,8)\)
- Multiplicity: 4
- Dimension: 1740
- Dominant: No
\(\lambda=(30,14,11)\)
- Multiplicity: 216
- Dimension: 714
- Dominant: No
\(\lambda=(26,22,7)\)
- Multiplicity: 192
- Dimension: 840
- Dominant: No
\(\textbf{a}=(19,27,9)\)
- Multiplicity: 8625
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,23)\)
- Multiplicity: 112738
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,14)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,9)\)
- Multiplicity: 11197
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,23)\)
- Multiplicity: 7796
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,28)\)
- Multiplicity: 271
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,14)\)
- Multiplicity: 27785
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,9)\)
- Multiplicity: 236
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,28)\)
- Multiplicity: 14863
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,14)\)
- Multiplicity: 123206
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,28)\)
- Multiplicity: 3613
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,33)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,14)\)
- Multiplicity: 16336
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,19)\)
- Multiplicity: 8625
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,14)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,5)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,19)\)
- Multiplicity: 176975
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,33)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,5)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,19)\)
- Multiplicity: 82702
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,24)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,5)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,10)\)
- Multiplicity: 761
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,19)\)
- Multiplicity: 352
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,24)\)
- Multiplicity: 39191
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,10)\)
- Multiplicity: 22170
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,24)\)
- Multiplicity: 69631
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,15)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,10)\)
- Multiplicity: 13324
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,24)\)
- Multiplicity: 1319
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,29)\)
- Multiplicity: 557
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,15)\)
- Multiplicity: 64299
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,10)\)
- Multiplicity: 92
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,29)\)
- Multiplicity: 9126
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,15)\)
- Multiplicity: 133819
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,32,20)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,29)\)
- Multiplicity: 557
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,13,34)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,15)\)
- Multiplicity: 7461
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,20)\)
- Multiplicity: 22170
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,6,34)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,6)\)
- Multiplicity: 352
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,20)\)
- Multiplicity: 190070
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,6)\)
- Multiplicity: 1214
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,20)\)
- Multiplicity: 39191
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,25)\)
- Multiplicity: 410
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,11)\)
- Multiplicity: 4102
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,6)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,20)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,25)\)
- Multiplicity: 44284
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,23,11)\)
- Multiplicity: 43510
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,11,25)\)
- Multiplicity: 32879
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,30,16)\)
- Multiplicity: 2355
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,16,11)\)
- Multiplicity: 12279
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,4,25)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,18,30)\)
- Multiplicity: 793
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,23,16)\)
- Multiplicity: 117127
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,9,11)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,11,30)\)
- Multiplicity: 4102
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,16,16)\)
- Multiplicity: 117127
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,30,21)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,4,30)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,11,35)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,9,16)\)
- Multiplicity: 2355
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,35,7)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,23,21)\)
- Multiplicity: 43510
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,28,7)\)
- Multiplicity: 1850
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,16,21)\)
- Multiplicity: 165337
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,35,12)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,21,7)\)
- Multiplicity: 2458
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,9,21)\)
- Multiplicity: 13454
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,23,26)\)
- Multiplicity: 1214
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,28,12)\)
- Multiplicity: 14863
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,14,7)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(16,19,20)\)
- Multiplicity: 176975
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- Error: 0
\(\textbf{a}=(25,24,6)\)
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- Error: 0
\(\textbf{a}=(23,12,20)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,24,11)\)
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- Error: 0
\(\textbf{a}=(18,12,25)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(29,10,16)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(24,10,21)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(14,29,12)\)
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- Error: 0
\(\textbf{a}=(33,15,7)\)
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- Error: 0
\(\textbf{a}=(31,3,21)\)
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- Error: 0
\(\textbf{a}=(21,22,12)\)
- Multiplicity: 67128
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- Error: 0
\(\textbf{a}=(19,10,26)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(30,20,5)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(18,27,10)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(25,20,10)\)
- Multiplicity: 22170
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,20,15)\)
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\(\textbf{a}=(18,8,29)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(15,20,20)\)
- Multiplicity: 153276
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- Error: 0
\(\textbf{a}=(24,25,6)\)
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- Error: 0
\(\textbf{a}=(22,13,20)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(14,25,16)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(21,18,16)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(28,11,16)\)
- Multiplicity: 12279
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- Error: 0
\(\textbf{a}=(9,25,21)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(16,18,21)\)
- Multiplicity: 165337
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- Error: 0
\(\textbf{a}=(25,23,7)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(13,30,12)\)
- Multiplicity: 4568
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- Error: 0
\(\textbf{a}=(32,16,7)\)
- Multiplicity: 217
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- Error: 0
\(\textbf{a}=(30,4,21)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,23,12)\)
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- Error: 0
\(\textbf{a}=(18,11,26)\)
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- Error: 0
\(\textbf{a}=(8,30,17)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(7,31,17)\)
- Multiplicity: 442
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,12)\)
- Multiplicity: 33347
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,26)\)
- Multiplicity: 392
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,31)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,17)\)
- Multiplicity: 81673
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,12)\)
- Multiplicity: 293
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,31)\)
- Multiplicity: 2135
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,17)\)
- Multiplicity: 171458
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,3)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,5,31)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,12,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,17)\)
- Multiplicity: 9159
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,3)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,8)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,22)\)
- Multiplicity: 15007
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,8)\)
- Multiplicity: 2422
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,22)\)
- Multiplicity: 144173
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,8)\)
- Multiplicity: 7233
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,22)\)
- Multiplicity: 27442
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,27)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,13)\)
- Multiplicity: 9126
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,8)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,3,22)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,27)\)
- Multiplicity: 18484
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,13)\)
- Multiplicity: 91611
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,27)\)
- Multiplicity: 13324
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,13)\)
- Multiplicity: 26578
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,18)\)
- Multiplicity: 2422
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,27)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,32)\)
- Multiplicity: 97
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,13)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,18)\)
- Multiplicity: 133819
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,32)\)
- Multiplicity: 761
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,4)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,18)\)
- Multiplicity: 133819
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,23)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,3,32)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,4)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,34,9)\)
- Multiplicity: 78
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,18)\)
- Multiplicity: 2422
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,23)\)
- Multiplicity: 27442
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{8,\lambda}(2,1;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{8,1}(2,1;6)\). 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 \(\beta_{8,\textbf{a}}(2,1;6)\). 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!