Current Betti Table Entry:
|
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 |
(2,0,0) |
(7,1,0) |
(12,1,1) |
(16,3,1) |
(20,4,2) |
(24,4,4) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 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) |
\(\lambda=(20,18,18)\)
- Multiplicity: 47
- Dimension: 6
- Dominant: No
\(\lambda=(25,16,15)\)
- Multiplicity: 360
- Dimension: 120
- Dominant: No
\(\lambda=(31,20,5)\)
- Multiplicity: 19
- Dimension: 2688
- Dominant: No
\(\lambda=(35,12,9)\)
- Multiplicity: 4
- Dimension: 1344
- Dominant: No
\(\lambda=(30,14,12)\)
- Multiplicity: 138
- Dimension: 510
- Dominant: No
\(\lambda=(26,22,8)\)
- Multiplicity: 230
- Dimension: 750
- Dominant: No
\(\lambda=(23,19,14)\)
- Multiplicity: 679
- Dimension: 165
- Dominant: No
\(\lambda=(33,15,8)\)
- Multiplicity: 29
- Dimension: 2052
- Dominant: No
\(\lambda=(29,23,4)\)
- Multiplicity: 11
- Dimension: 1890
- Dominant: No
\(\lambda=(28,17,11)\)
- Multiplicity: 484
- Dimension: 798
- Dominant: No
\(\lambda=(26,20,10)\)
- Multiplicity: 549
- Dimension: 693
- Dominant: No
\(\lambda=(31,18,7)\)
- Multiplicity: 70
- Dimension: 2184
- Dominant: No
\(\lambda=(27,26,3)\)
- Multiplicity: 1
- Dimension: 624
- Dominant: No
\(\lambda=(23,17,16)\)
- Multiplicity: 328
- Dimension: 63
- Dominant: No
\(\lambda=(24,23,9)\)
- Multiplicity: 173
- Dimension: 255
- Dominant: No
\(\lambda=(33,13,10)\)
- Multiplicity: 27
- Dimension: 1050
- Dominant: No
\(\lambda=(29,21,6)\)
- Multiplicity: 72
- Dimension: 1800
- Dominant: No
\(\lambda=(28,15,13)\)
- Multiplicity: 308
- Dimension: 357
- Dominant: No
\(\lambda=(21,20,15)\)
- Multiplicity: 285
- Dimension: 48
- Dominant: No
\(\lambda=(26,18,12)\)
- Multiplicity: 733
- Dimension: 504
- Dominant: No
\(\lambda=(31,16,9)\)
- Multiplicity: 124
- Dimension: 1536
- Dominant: No
\(\lambda=(27,24,5)\)
- Multiplicity: 26
- Dimension: 960
- Dominant: No
\(\lambda=(24,21,11)\)
- Multiplicity: 537
- Dimension: 330
- Dominant: No
\(\lambda=(34,17,5)\)
- Multiplicity: 3
- Dimension: 3627
- Dominant: No
\(\lambda=(29,19,8)\)
- Multiplicity: 211
- Dimension: 1518
- Dominant: No
\(\lambda=(21,18,17)\)
- Multiplicity: 179
- Dimension: 24
- Dominant: No
\(\lambda=(26,16,14)\)
- Multiplicity: 461
- Dimension: 231
- Dominant: No
\(\lambda=(31,14,11)\)
- Multiplicity: 105
- Dimension: 792
- Dominant: No
\(\lambda=(32,20,4)\)
- Multiplicity: 4
- Dimension: 3315
- Dominant: No
\(\lambda=(36,12,8)\)
- Multiplicity: 1
- Dimension: 1875
- Dominant: No
\(\lambda=(27,22,7)\)
- Multiplicity: 148
- Dimension: 1056
- Dominant: No
\(\lambda=(24,19,13)\)
- Multiplicity: 784
- Dimension: 273
- Dominant: No
\(\lambda=(25,25,6)\)
- Multiplicity: 19
- Dimension: 210
- Dominant: No
\(\lambda=(30,23,3)\)
- Multiplicity: 2
- Dimension: 2436
- Dominant: No
\(\lambda=(34,15,7)\)
- Multiplicity: 10
- Dimension: 2610
- Dominant: No
\(\lambda=(29,17,10)\)
- Multiplicity: 334
- Dimension: 1092
- Dominant: No
\(\lambda=(22,22,12)\)
- Multiplicity: 168
- Dimension: 66
- Dominant: No
\(\lambda=(32,18,6)\)
- Multiplicity: 24
- Dimension: 2730
- Dominant: No
\(\lambda=(27,20,9)\)
- Multiplicity: 401
- Dimension: 960
- Dominant: No
\(\lambda=(19,19,18)\)
- Multiplicity: 30
- Dimension: 3
- Dominant: No
\(\lambda=(24,17,15)\)
- Multiplicity: 518
- Dimension: 132
- Dominant: No
\(\lambda=(25,23,8)\)
- Multiplicity: 166
- Dimension: 456
- Dominant: No
\(\lambda=(30,21,5)\)
- Multiplicity: 27
- Dimension: 2295
- Dominant: No
\(\lambda=(34,13,9)\)
- Multiplicity: 13
- Dimension: 1485
- Dominant: No
\(\lambda=(29,15,12)\)
- Multiplicity: 272
- Dimension: 570
- Dominant: No
\(\lambda=(22,20,14)\)
- Multiplicity: 472
- Dimension: 105
- Dominant: No
\(\lambda=(32,16,8)\)
- Multiplicity: 57
- Dimension: 1989
- Dominant: No
\(\lambda=(28,24,4)\)
- Multiplicity: 9
- Dimension: 1365
- Dominant: No
\(\lambda=(27,18,11)\)
- Multiplicity: 614
- Dimension: 720
- Dominant: No
\(\lambda=(25,21,10)\)
- Multiplicity: 496
- Dimension: 510
- Dominant: No
\(\lambda=(34,11,11)\)
- Multiplicity: 4
- Dimension: 300
- Dominant: No
\(\lambda=(30,19,7)\)
- Multiplicity: 104
- Dimension: 1950
- Dominant: No
\(\lambda=(22,18,16)\)
- Multiplicity: 360
- Dimension: 60
- Dominant: No
\(\lambda=(32,14,10)\)
- Multiplicity: 61
- Dimension: 1140
- Dominant: No
\(\lambda=(28,22,6)\)
- Multiplicity: 75
- Dimension: 1428
- Dominant: No
\(\lambda=(27,16,13)\)
- Multiplicity: 491
- Dimension: 384
- Dominant: No
\(\lambda=(25,19,12)\)
- Multiplicity: 789
- Dimension: 420
- Dominant: No
\(\lambda=(35,15,6)\)
- Multiplicity: 2
- Dimension: 3255
- Dominant: No
\(\lambda=(30,17,9)\)
- Multiplicity: 201
- Dimension: 1449
- Dominant: No
\(\lambda=(26,25,5)\)
- Multiplicity: 15
- Dimension: 483
- Dominant: No
\(\lambda=(23,22,11)\)
- Multiplicity: 298
- Dimension: 168
- Dominant: No
\(\lambda=(32,12,12)\)
- Multiplicity: 16
- Dimension: 231
- Dominant: No
\(\lambda=(33,18,5)\)
- Multiplicity: 6
- Dimension: 3360
- Dominant: No
\(\lambda=(28,20,8)\)
- Multiplicity: 248
- Dimension: 1287
- Dominant: No
\(\lambda=(20,19,17)\)
- Multiplicity: 123
- Dimension: 15
- Dominant: No
\(\lambda=(25,17,14)\)
- Multiplicity: 640
- Dimension: 234
- Dominant: No
\(\lambda=(31,21,4)\)
- Multiplicity: 6
- Dimension: 2871
- Dominant: No
\(\lambda=(35,13,8)\)
- Multiplicity: 4
- Dimension: 2001
- Dominant: No
\(\lambda=(30,15,11)\)
- Multiplicity: 204
- Dimension: 840
- Dominant: No
\(\lambda=(26,23,7)\)
- Multiplicity: 120
- Dimension: 714
- Dominant: No
\(\lambda=(23,20,13)\)
- Multiplicity: 635
- Dimension: 192
- Dominant: No
\(\lambda=(33,16,7)\)
- Multiplicity: 22
- Dimension: 2520
- Dominant: No
\(\lambda=(29,24,3)\)
- Multiplicity: 2
- Dimension: 1848
- Dominant: No
\(\lambda=(28,18,10)\)
- Multiplicity: 442
- Dimension: 990
- Dominant: No
\(\lambda=(31,19,6)\)
- Multiplicity: 41
- Dimension: 2457
- Dominant: No
\(\lambda=(35,11,10)\)
- Multiplicity: 2
- Dimension: 675
- Dominant: No
\(\lambda=(30,13,13)\)
- Multiplicity: 55
- Dimension: 171
- Dominant: No
\(\lambda=(26,21,9)\)
- Multiplicity: 391
- Dimension: 741
- Dominant: No
\(\lambda=(23,18,15)\)
- Multiplicity: 569
- Dimension: 120
- Dominant: No
\(\lambda=(24,24,8)\)
- Multiplicity: 55
- Dimension: 153
- Dominant: No
\(\lambda=(33,14,9)\)
- Multiplicity: 31
- Dimension: 1560
- Dominant: No
\(\lambda=(29,22,5)\)
- Multiplicity: 31
- Dimension: 1872
- Dominant: No
\(\lambda=(28,16,12)\)
- Multiplicity: 431
- Dimension: 585
- Dominant: No
\(\lambda=(21,21,14)\)
- Multiplicity: 181
- Dimension: 36
- Dominant: No
\(\lambda=(26,19,11)\)
- Multiplicity: 692
- Dimension: 612
- Dominant: No
\(\lambda=(31,17,8)\)
- Multiplicity: 102
- Dimension: 1875
- Dominant: No
\(\lambda=(27,25,4)\)
- Multiplicity: 7
- Dimension: 825
- Dominant: No
\(\lambda=(24,22,10)\)
- Multiplicity: 335
- Dimension: 312
- Dominant: No
\(\lambda=(33,12,11)\)
- Multiplicity: 16
- Dimension: 528
- Dominant: No
\(\lambda=(29,20,7)\)
- Multiplicity: 133
- Dimension: 1680
- Dominant: No
\(\lambda=(28,14,14)\)
- Multiplicity: 103
- Dimension: 120
- Dominant: No
\(\lambda=(21,19,16)\)
- Multiplicity: 292
- Dimension: 42
- Dominant: No
\(\lambda=(26,17,13)\)
- Multiplicity: 673
- Dimension: 375
- Dominant: No
\(\lambda=(31,15,10)\)
- Multiplicity: 127
- Dimension: 1173
- Dominant: No
\(\lambda=(32,21,3)\)
- Multiplicity: 1
- Dimension: 3534
- Dominant: Yes
\(\lambda=(36,13,7)\)
- Multiplicity: 1
- Dimension: 2604
- Dominant: Yes
\(\lambda=(27,23,6)\)
- Multiplicity: 71
- Dimension: 1035
- Dominant: No
\(\lambda=(24,20,12)\)
- Multiplicity: 695
- Dimension: 315
- Dominant: No
\(\lambda=(34,16,6)\)
- Multiplicity: 5
- Dimension: 3135
- Dominant: No
\(\lambda=(29,18,9)\)
- Multiplicity: 284
- Dimension: 1320
- Dominant: No
\(\lambda=(26,15,15)\)
- Multiplicity: 175
- Dimension: 78
- Dominant: No
\(\lambda=(31,13,12)\)
- Multiplicity: 61
- Dimension: 399
- Dominant: No
\(\lambda=(32,19,5)\)
- Multiplicity: 12
- Dimension: 3045
- Dominant: No
\(\lambda=(36,11,9)\)
- Multiplicity: 1
- Dimension: 1131
- Dominant: No
\(\lambda=(27,21,8)\)
- Multiplicity: 265
- Dimension: 1029
- Dominant: No
\(\lambda=(24,18,14)\)
- Multiplicity: 714
- Dimension: 210
- Dominant: No
\(\lambda=(25,24,7)\)
- Multiplicity: 66
- Dimension: 360
- Dominant: No
\(\lambda=(30,22,4)\)
- Multiplicity: 8
- Dimension: 2394
- Dominant: No
\(\lambda=(34,14,8)\)
- Multiplicity: 11
- Dimension: 2058
- Dominant: No
\(\lambda=(29,16,11)\)
- Multiplicity: 333
- Dimension: 840
- Dominant: No
\(\lambda=(22,21,13)\)
- Multiplicity: 359
- Dimension: 99
- Dominant: No
\(\lambda=(32,17,7)\)
- Multiplicity: 43
- Dimension: 2376
- Dominant: No
\(\lambda=(28,25,3)\)
- Multiplicity: 2
- Dimension: 1242
- Dominant: No
\(\lambda=(27,19,10)\)
- Multiplicity: 535
- Dimension: 855
- Dominant: No
\(\lambda=(24,16,16)\)
- Multiplicity: 179
- Dimension: 45
- Dominant: No
\(\lambda=(25,22,9)\)
- Multiplicity: 310
- Dimension: 504
- Dominant: No
\(\lambda=(30,20,6)\)
- Multiplicity: 56
- Dimension: 2145
- Dominant: No
\(\lambda=(34,12,10)\)
- Multiplicity: 8
- Dimension: 897
- Dominant: No
\(\lambda=(29,14,13)\)
- Multiplicity: 151
- Dimension: 288
- Dominant: No
\(\lambda=(22,19,15)\)
- Multiplicity: 495
- Dimension: 90
- Dominant: No
\(\lambda=(32,15,9)\)
- Multiplicity: 68
- Dimension: 1575
- Dominant: No
\(\lambda=(28,23,5)\)
- Multiplicity: 32
- Dimension: 1425
- Dominant: No
\(\lambda=(27,17,12)\)
- Multiplicity: 609
- Dimension: 561
- Dominant: No
\(\lambda=(25,20,11)\)
- Multiplicity: 669
- Dimension: 480
- Dominant: No
\(\lambda=(35,16,5)\)
- Multiplicity: 1
- Dimension: 3840
- Dominant: Yes
\(\lambda=(30,18,8)\)
- Multiplicity: 152
- Dimension: 1716
- Dominant: No
\(\lambda=(26,26,4)\)
- Multiplicity: 2
- Dimension: 276
- Dominant: No
\(\lambda=(22,17,17)\)
- Multiplicity: 142
- Dimension: 21
- Dominant: No
\(\lambda=(23,23,10)\)
- Multiplicity: 128
- Dimension: 105
- Dominant: No
\(\lambda=(32,13,11)\)
- Multiplicity: 48
- Dimension: 690
- Dominant: No
\(\lambda=(33,19,4)\)
- Multiplicity: 2
- Dimension: 3720
- Dominant: Yes
\(\lambda=(28,21,7)\)
- Multiplicity: 152
- Dimension: 1380
- Dominant: No
\(\lambda=(27,15,14)\)
- Multiplicity: 276
- Dimension: 195
- Dominant: No
\(\lambda=(20,20,16)\)
- Multiplicity: 103
- Dimension: 15
- Dominant: No
\(\lambda=(25,18,13)\)
- Multiplicity: 783
- Dimension: 336
- Dominant: No
\(\lambda=(31,22,3)\)
- Multiplicity: 1
- Dimension: 3000
- Dominant: No
\(\lambda=(35,14,7)\)
- Multiplicity: 3
- Dimension: 2640
- Dominant: No
\(\lambda=(30,16,10)\)
- Multiplicity: 216
- Dimension: 1155
- Dominant: No
\(\lambda=(26,24,6)\)
- Multiplicity: 47
- Dimension: 627
- Dominant: No
\(\lambda=(23,21,12)\)
- Multiplicity: 495
- Dimension: 195
- Dominant: No
\(\lambda=(33,17,6)\)
- Multiplicity: 13
- Dimension: 2958
- Dominant: No
\(\lambda=(28,19,9)\)
- Multiplicity: 361
- Dimension: 1155
- Dominant: No
\(\textbf{a}=(31,20,5)\)
- Multiplicity: 62
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,34,10)\)
- Multiplicity: 88
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,19)\)
- Multiplicity: 1959
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,24)\)
- Multiplicity: 18334
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,10)\)
- Multiplicity: 10444
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,24)\)
- Multiplicity: 71778
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,15)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,10)\)
- Multiplicity: 13608
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,24)\)
- Multiplicity: 5439
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,29)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,15)\)
- Multiplicity: 24300
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,10)\)
- Multiplicity: 271
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,29)\)
- Multiplicity: 7566
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,15)\)
- Multiplicity: 108508
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,29)\)
- Multiplicity: 1959
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,34)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,15)\)
- Multiplicity: 14264
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,20)\)
- Multiplicity: 6676
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,34)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,15)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,6)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,20)\)
- Multiplicity: 129153
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,6)\)
- Multiplicity: 946
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,20)\)
- Multiplicity: 61212
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,25)\)
- Multiplicity: 64
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,11)\)
- Multiplicity: 808
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,6)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,20)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,25)\)
- Multiplicity: 24763
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,11)\)
- Multiplicity: 24763
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,25)\)
- Multiplicity: 43052
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,16)\)
- Multiplicity: 334
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,11)\)
- Multiplicity: 14754
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,25)\)
- Multiplicity: 946
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,30)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,16)\)
- Multiplicity: 54166
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,11)\)
- Multiplicity: 95
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,30)\)
- Multiplicity: 4330
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,16)\)
- Multiplicity: 112739
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,32,21)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,30)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,13,35)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,16)\)
- Multiplicity: 6306
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,21)\)
- Multiplicity: 16416
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,6,35)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,7)\)
- Multiplicity: 657
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,21)\)
- Multiplicity: 133904
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,7)\)
- Multiplicity: 2234
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,21)\)
- Multiplicity: 28628
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,26)\)
- Multiplicity: 294
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,12)\)
- Multiplicity: 4121
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,7)\)
- Multiplicity: 80
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,21)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,26)\)
- Multiplicity: 26439
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,23,12)\)
- Multiplicity: 45293
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,11,26)\)
- Multiplicity: 19876
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,30,17)\)
- Multiplicity: 1965
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,16,12)\)
- Multiplicity: 12535
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,4,26)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,18,31)\)
- Multiplicity: 374
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,23,17)\)
- Multiplicity: 94997
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,9,12)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,11,31)\)
- Multiplicity: 1811
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,16,17)\)
- Multiplicity: 94997
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,28,3)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,30,22)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,4,31)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,11,36)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,9,17)\)
- Multiplicity: 1965
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,21,3)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,35,8)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,23,22)\)
- Multiplicity: 30767
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,28,8)\)
- Multiplicity: 2850
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,16,22)\)
- Multiplicity: 112739
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,35,13)\)
- Multiplicity: 13
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(23,9,24)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(32,14,10)\)
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- Error: 0
\(\textbf{a}=(11,16,29)\)
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- Error: 0
\(\textbf{a}=(20,21,15)\)
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- Error: 0
\(\textbf{a}=(18,9,29)\)
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- Error: 0
\(\textbf{a}=(6,16,34)\)
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- Error: 0
\(\textbf{a}=(27,14,15)\)
- Multiplicity: 24300
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- Error: 0
\(\textbf{a}=(8,28,20)\)
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- Error: 0
\(\textbf{a}=(13,9,34)\)
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- Error: 0
\(\textbf{a}=(34,7,15)\)
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- Error: 0
\(\textbf{a}=(17,33,6)\)
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- Error: 0
\(\textbf{a}=(15,21,20)\)
- Multiplicity: 108508
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- Error: 0
\(\textbf{a}=(24,26,6)\)
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- Error: 0
\(\textbf{a}=(22,14,20)\)
- Multiplicity: 84672
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,28,25)\)
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- Error: 0
\(\textbf{a}=(12,33,11)\)
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- Error: 0
\(\textbf{a}=(31,19,6)\)
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- Error: 0
\(\textbf{a}=(29,7,20)\)
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- Error: 0
\(\textbf{a}=(10,21,25)\)
- Multiplicity: 16416
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- Error: 0
\(\textbf{a}=(19,26,11)\)
- Multiplicity: 19876
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- Error: 0
\(\textbf{a}=(17,14,25)\)
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- Error: 0
\(\textbf{a}=(7,33,16)\)
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- Error: 0
\(\textbf{a}=(26,19,11)\)
- Multiplicity: 19876
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,7,25)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(5,21,30)\)
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- Error: 0
\(\textbf{a}=(14,26,16)\)
- Multiplicity: 36350
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,12,11)\)
- Multiplicity: 307
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- Error: 0
\(\textbf{a}=(12,14,30)\)
- Multiplicity: 4121
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- Error: 0
\(\textbf{a}=(21,19,16)\)
- Multiplicity: 124884
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- Error: 0
\(\textbf{a}=(19,7,30)\)
- Multiplicity: 657
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- Error: 0
\(\textbf{a}=(7,14,35)\)
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- Error: 0
\(\textbf{a}=(28,12,16)\)
- Multiplicity: 12535
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- Error: 0
\(\textbf{a}=(9,26,21)\)
- Multiplicity: 8430
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,7,35)\)
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- Error: 0
\(\textbf{a}=(35,5,16)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(18,31,7)\)
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- Error: 0
\(\textbf{a}=(16,19,21)\)
- Multiplicity: 124884
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- Error: 0
\(\textbf{a}=(25,24,7)\)
- Multiplicity: 2427
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,12,21)\)
- Multiplicity: 45293
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,26,26)\)
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- Error: 0
\(\textbf{a}=(13,31,12)\)
- Multiplicity: 2010
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,17,7)\)
- Multiplicity: 188
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- Error: 0
\(\textbf{a}=(30,5,21)\)
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- Error: 0
\(\textbf{a}=(11,19,26)\)
- Multiplicity: 19876
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,24,12)\)
- Multiplicity: 40712
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,12,26)\)
- Multiplicity: 26439
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- Error: 0
\(\textbf{a}=(8,31,17)\)
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- Error: 0
\(\textbf{a}=(27,17,12)\)
- Multiplicity: 18992
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,5,26)\)
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- Error: 0
\(\textbf{a}=(6,19,31)\)
- Multiplicity: 171
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- Error: 0
\(\textbf{a}=(15,24,17)\)
- Multiplicity: 71778
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,10,12)\)
- Multiplicity: 88
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- Error: 0
\(\textbf{a}=(13,12,31)\)
- Multiplicity: 2010
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,17,17)\)
- Multiplicity: 116829
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- Error: 0
\(\textbf{a}=(24,29,3)\)
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- Error: 0
\(\textbf{a}=(3,31,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,5,31)\)
- Multiplicity: 62
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- Error: 0
\(\textbf{a}=(8,12,36)\)
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- Error: 0
\(\textbf{a}=(29,10,17)\)
- Multiplicity: 4768
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- Error: 0
\(\textbf{a}=(31,22,3)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(12,36,8)\)
- Multiplicity: 2
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- Error: 0
\(\textbf{a}=(10,24,22)\)
- Multiplicity: 18334
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,29,8)\)
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\(\textbf{a}=(13,24,19)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,17,19)\)
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- Error: 0
\(\textbf{a}=(18,5,33)\)
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- Error: 0
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\(\textbf{a}=(27,10,19)\)
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- Error: 0
\(\textbf{a}=(8,24,24)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(15,17,24)\)
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- Error: 0
\(\textbf{a}=(24,22,10)\)
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- Error: 0
\(\textbf{a}=(22,10,24)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(31,15,10)\)
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- Error: 0
\(\textbf{a}=(29,3,24)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(19,22,15)\)
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- Error: 0
\(\textbf{a}=(17,10,29)\)
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- Error: 0
\(\textbf{a}=(5,17,34)\)
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- Error: 0
\(\textbf{a}=(26,15,15)\)
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- Error: 0
\(\textbf{a}=(7,29,20)\)
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- Error: 0
\(\textbf{a}=(24,3,29)\)
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- Error: 0
\(\textbf{a}=(12,10,34)\)
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- Error: 0
\(\textbf{a}=(33,8,15)\)
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- Error: 0
\(\textbf{a}=(16,34,6)\)
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- Error: 0
\(\textbf{a}=(14,22,20)\)
- Multiplicity: 84672
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,27,6)\)
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- Error: 0
\(\textbf{a}=(21,15,20)\)
- Multiplicity: 108508
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- Error: 0
\(\textbf{a}=(11,34,11)\)
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- Error: 0
\(\textbf{a}=(30,20,6)\)
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- Error: 0
\(\textbf{a}=(28,8,20)\)
- Multiplicity: 2850
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- Error: 0
\(\textbf{a}=(9,22,25)\)
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- Error: 0
\(\textbf{a}=(18,27,11)\)
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- Error: 0
\(\textbf{a}=(16,15,25)\)
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- Error: 0
\(\textbf{a}=(6,34,16)\)
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- Error: 0
\(\textbf{a}=(25,20,11)\)
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- Error: 0
\(\textbf{a}=(23,8,25)\)
- Multiplicity: 5234
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- Error: 0
\(\textbf{a}=(4,22,30)\)
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- Error: 0
\(\textbf{a}=(13,27,16)\)
- Multiplicity: 22401
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- Error: 0
\(\textbf{a}=(32,13,11)\)
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- Error: 0
\(\textbf{a}=(11,15,30)\)
- Multiplicity: 3573
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- Error: 0
\(\textbf{a}=(20,20,16)\)
- Multiplicity: 129153
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- Error: 0
\(\textbf{a}=(18,8,30)\)
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- Error: 0
\(\textbf{a}=(6,15,35)\)
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- Error: 0
\(\textbf{a}=(27,13,16)\)
- Multiplicity: 22401
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- Error: 0
\(\textbf{a}=(8,27,21)\)
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- Error: 0
\(\textbf{a}=(13,8,35)\)
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- Error: 0
\(\textbf{a}=(34,6,16)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,32,7)\)
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- Error: 0
\(\textbf{a}=(15,20,21)\)
- Multiplicity: 108508
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- Error: 0
\(\textbf{a}=(24,25,7)\)
- Multiplicity: 2427
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- Error: 0
\(\textbf{a}=(22,13,21)\)
- Multiplicity: 65617
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,27,26)\)
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- Error: 0
\(\textbf{a}=(12,32,12)\)
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- Error: 0
\(\textbf{a}=(31,18,7)\)
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- Error: 0
\(\textbf{a}=(29,6,21)\)
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- Error: 0
\(\textbf{a}=(10,20,26)\)
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- Error: 0
\(\textbf{a}=(19,25,12)\)
- Multiplicity: 34073
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- Error: 0
\(\textbf{a}=(17,13,26)\)
- Multiplicity: 32310
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- Error: 0
\(\textbf{a}=(7,32,17)\)
- Multiplicity: 188
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- Error: 0
\(\textbf{a}=(26,18,12)\)
- Multiplicity: 26439
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,6,26)\)
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- Error: 0
\(\textbf{a}=(5,20,31)\)
- Multiplicity: 62
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- Error: 0
\(\textbf{a}=(14,25,17)\)
- Multiplicity: 50194
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- Error: 0
\(\textbf{a}=(33,11,12)\)
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- Error: 0
\(\textbf{a}=(12,13,31)\)
- Multiplicity: 2010
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- Error: 0
\(\textbf{a}=(21,18,17)\)
- Multiplicity: 133904
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- Error: 0
\(\textbf{a}=(23,30,3)\)
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- Error: 0
\(\textbf{a}=(19,6,31)\)
- Multiplicity: 171
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- Error: 0
\(\textbf{a}=(7,13,36)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(28,11,17)\)
- Multiplicity: 10086
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- Error: 0
\(\textbf{a}=(30,23,3)\)
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- Error: 0
\(\textbf{a}=(9,25,22)\)
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- Error: 0
\(\textbf{a}=(18,30,8)\)
- Multiplicity: 1216
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- Error: 0
\(\textbf{a}=(16,18,22)\)
- Multiplicity: 112739
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- Error: 0
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\(\textbf{a}=(22,28,6)\)
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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
\(\textbf{a}=(26,14,16)\)
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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
\(\textbf{a}=(25,19,12)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(32,12,12)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,19,17)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(29,24,3)\)
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- Error: 0
\(\textbf{a}=(8,26,22)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(24,24,8)\)
- Multiplicity: 5439
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,22)\)
- Multiplicity: 46897
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,26,27)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,13)\)
- Multiplicity: 2010
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,8)\)
- Multiplicity: 681
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,22)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,27)\)
- Multiplicity: 10444
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,13)\)
- Multiplicity: 53222
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,27)\)
- Multiplicity: 18992
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,13)\)
- Multiplicity: 32310
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,18)\)
- Multiplicity: 374
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,27)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,32)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,13)\)
- Multiplicity: 271
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,18)\)
- Multiplicity: 64186
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,32)\)
- Multiplicity: 853
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,4)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,18)\)
- Multiplicity: 133904
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,5,32)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,18)\)
- Multiplicity: 7368
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,4)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,9)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,23)\)
- Multiplicity: 10608
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,9)\)
- Multiplicity: 3244
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,23)\)
- Multiplicity: 94997
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,9)\)
- Multiplicity: 9828
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,23)\)
- Multiplicity: 19037
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,28)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,14)\)
- Multiplicity: 8275
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,9)\)
- Multiplicity: 512
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,3,23)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,28)\)
- Multiplicity: 10086
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,14)\)
- Multiplicity: 84672
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,28)\)
- Multiplicity: 7368
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,33)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,14)\)
- Multiplicity: 24300
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,19)\)
- Multiplicity: 1959
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,28)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,14)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,5)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,19)\)
- Multiplicity: 101360
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,33)\)
- Multiplicity: 271
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,5)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,19)\)
- Multiplicity: 101360
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,24)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{8,\lambda}(2,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{8,1}(2,2;6)\). 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 \(\beta_{8,\textbf{a}}(2,2;6)\). 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!