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 |
(3,0,0) |
(8,1,0) |
(13,1,1) |
(17,3,1) |
(21,4,2) |
(25,4,4) |
(28,7,4) |
(31,9,5) |
(34,10,7) |
(37,10,10) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
· |
· |
(19,14,0) |
(24,14,1) |
(28,15,2) |
(32,15,4) |
(35,17,5) |
(38,18,7) |
(41,18,10) |
(43,21,11) |
(45,23,13) |
(47,24,16) |
(49,24,20) |
(50,29,20) |
(51,33,21) |
(52,36,23) |
(53,38,26) |
(54,39,30) |
(55,39,35) |
(55,44,36) |
(55,48,38) |
(55,51,41) |
(55,53,45) |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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· |
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(55,55,55) |
\(\lambda=(26,22,15)\)
- Multiplicity: 686
- Dimension: 260
- Dominant: No
\(\lambda=(36,18,9)\)
- Multiplicity: 16
- Dimension: 2755
- Dominant: No
\(\lambda=(32,26,5)\)
- Multiplicity: 7
- Dimension: 2233
- Dominant: No
\(\lambda=(31,20,12)\)
- Multiplicity: 372
- Dimension: 1134
- Dominant: No
\(\lambda=(29,23,11)\)
- Multiplicity: 414
- Dimension: 910
- Dominant: No
\(\lambda=(34,21,8)\)
- Multiplicity: 41
- Dimension: 2744
- Dominant: No
\(\lambda=(38,13,12)\)
- Multiplicity: 1
- Dimension: 728
- Dominant: No
\(\lambda=(33,15,15)\)
- Multiplicity: 28
- Dimension: 190
- Dominant: No
\(\lambda=(30,29,4)\)
- Multiplicity: 1
- Dimension: 728
- Dominant: No
\(\lambda=(26,20,17)\)
- Multiplicity: 550
- Dimension: 154
- Dominant: No
\(\lambda=(27,26,10)\)
- Multiplicity: 128
- Dimension: 323
- Dominant: No
\(\lambda=(36,16,11)\)
- Multiplicity: 16
- Dimension: 1701
- Dominant: No
\(\lambda=(32,24,7)\)
- Multiplicity: 47
- Dimension: 2187
- Dominant: No
\(\lambda=(31,18,14)\)
- Multiplicity: 323
- Dimension: 665
- Dominant: No
\(\lambda=(24,23,16)\)
- Multiplicity: 317
- Dimension: 80
- Dominant: No
\(\lambda=(29,21,13)\)
- Multiplicity: 621
- Dimension: 729
- Dominant: No
\(\lambda=(34,19,10)\)
- Multiplicity: 75
- Dimension: 2080
- Dominant: No
\(\lambda=(30,27,6)\)
- Multiplicity: 17
- Dimension: 1144
- Dominant: No
\(\lambda=(27,24,12)\)
- Multiplicity: 429
- Dimension: 442
- Dominant: No
\(\lambda=(37,20,6)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(36,14,13)\)
- Multiplicity: 7
- Dimension: 575
- Dominant: No
\(\lambda=(32,22,9)\)
- Multiplicity: 140
- Dimension: 1925
- Dominant: No
\(\lambda=(31,16,16)\)
- Multiplicity: 80
- Dimension: 136
- Dominant: No
\(\lambda=(24,21,18)\)
- Multiplicity: 343
- Dimension: 64
- Dominant: No
\(\lambda=(29,19,15)\)
- Multiplicity: 542
- Dimension: 440
- Dominant: No
\(\lambda=(34,17,12)\)
- Multiplicity: 79
- Dimension: 1296
- Dominant: No
\(\lambda=(35,23,5)\)
- Multiplicity: 2
- Dimension: 3952
- Dominant: No
\(\lambda=(30,25,8)\)
- Multiplicity: 101
- Dimension: 1296
- Dominant: No
\(\lambda=(27,22,14)\)
- Multiplicity: 718
- Dimension: 405
- Dominant: No
\(\lambda=(28,28,7)\)
- Multiplicity: 13
- Dimension: 253
- Dominant: No
\(\lambda=(33,26,4)\)
- Multiplicity: 1
- Dimension: 2852
- Dominant: No
\(\lambda=(37,18,8)\)
- Multiplicity: 4
- Dimension: 3410
- Dominant: No
\(\lambda=(32,20,11)\)
- Multiplicity: 237
- Dimension: 1495
- Dominant: No
\(\lambda=(25,25,13)\)
- Multiplicity: 143
- Dimension: 91
- Dominant: No
\(\lambda=(29,17,17)\)
- Multiplicity: 128
- Dimension: 91
- Dominant: No
\(\lambda=(34,15,14)\)
- Multiplicity: 32
- Dimension: 440
- Dominant: No
\(\lambda=(35,21,7)\)
- Multiplicity: 13
- Dimension: 3375
- Dominant: No
\(\lambda=(30,23,10)\)
- Multiplicity: 286
- Dimension: 1232
- Dominant: No
\(\lambda=(22,22,19)\)
- Multiplicity: 71
- Dimension: 10
- Dominant: No
\(\lambda=(27,20,16)\)
- Multiplicity: 665
- Dimension: 260
- Dominant: No
\(\lambda=(28,26,9)\)
- Multiplicity: 119
- Dimension: 567
- Dominant: No
\(\lambda=(33,24,6)\)
- Multiplicity: 16
- Dimension: 2755
- Dominant: No
\(\lambda=(37,16,10)\)
- Multiplicity: 5
- Dimension: 2233
- Dominant: No
\(\lambda=(32,18,13)\)
- Multiplicity: 240
- Dimension: 945
- Dominant: No
\(\lambda=(25,23,15)\)
- Multiplicity: 472
- Dimension: 162
- Dominant: No
\(\lambda=(35,19,9)\)
- Multiplicity: 31
- Dimension: 2618
- Dominant: No
\(\lambda=(31,27,5)\)
- Multiplicity: 5
- Dimension: 1610
- Dominant: No
\(\lambda=(30,21,12)\)
- Multiplicity: 478
- Dimension: 1000
- Dominant: No
\(\lambda=(27,18,18)\)
- Multiplicity: 168
- Dimension: 55
- Dominant: No
\(\lambda=(28,24,11)\)
- Multiplicity: 378
- Dimension: 665
- Dominant: No
\(\lambda=(37,14,12)\)
- Multiplicity: 4
- Dimension: 972
- Dominant: No
\(\lambda=(33,22,8)\)
- Multiplicity: 64
- Dimension: 2430
- Dominant: No
\(\lambda=(32,16,15)\)
- Multiplicity: 101
- Dimension: 323
- Dominant: No
\(\lambda=(25,21,17)\)
- Multiplicity: 522
- Dimension: 125
- Dominant: No
\(\lambda=(35,17,11)\)
- Multiplicity: 39
- Dimension: 1729
- Dominant: No
\(\lambda=(31,25,7)\)
- Multiplicity: 49
- Dimension: 1729
- Dominant: No
\(\lambda=(30,19,14)\)
- Multiplicity: 480
- Dimension: 648
- Dominant: No
\(\lambda=(28,22,13)\)
- Multiplicity: 667
- Dimension: 595
- Dominant: No
\(\lambda=(38,18,7)\)
- Multiplicity: 1
- Dimension: 4158
- Dominant: Yes
\(\lambda=(33,20,10)\)
- Multiplicity: 130
- Dimension: 1925
- Dominant: No
\(\lambda=(29,28,6)\)
- Multiplicity: 10
- Dimension: 575
- Dominant: No
\(\lambda=(25,19,19)\)
- Multiplicity: 131
- Dimension: 28
- Dominant: No
\(\lambda=(26,25,12)\)
- Multiplicity: 240
- Dimension: 224
- Dominant: No
\(\lambda=(35,15,13)\)
- Multiplicity: 22
- Dimension: 756
- Dominant: No
\(\lambda=(36,21,6)\)
- Multiplicity: 3
- Dimension: 4096
- Dominant: No
\(\lambda=(31,23,9)\)
- Multiplicity: 168
- Dimension: 1620
- Dominant: No
\(\lambda=(30,17,16)\)
- Multiplicity: 206
- Dimension: 224
- Dominant: No
\(\lambda=(23,22,18)\)
- Multiplicity: 206
- Dimension: 35
- Dominant: No
\(\lambda=(28,20,15)\)
- Multiplicity: 693
- Dimension: 405
- Dominant: No
\(\lambda=(29,26,8)\)
- Multiplicity: 83
- Dimension: 874
- Dominant: No
\(\lambda=(34,24,5)\)
- Multiplicity: 4
- Dimension: 3410
- Dominant: No
\(\lambda=(38,16,9)\)
- Multiplicity: 2
- Dimension: 2852
- Dominant: No
\(\lambda=(33,18,12)\)
- Multiplicity: 154
- Dimension: 1288
- Dominant: No
\(\lambda=(26,23,14)\)
- Multiplicity: 579
- Dimension: 280
- Dominant: No
\(\lambda=(36,19,8)\)
- Multiplicity: 10
- Dimension: 3240
- Dominant: No
\(\lambda=(32,27,4)\)
- Multiplicity: 1
- Dimension: 2160
- Dominant: No
\(\lambda=(31,21,11)\)
- Multiplicity: 320
- Dimension: 1331
- Dominant: No
\(\lambda=(23,20,20)\)
- Multiplicity: 72
- Dimension: 10
- Dominant: No
\(\lambda=(28,18,17)\)
- Multiplicity: 301
- Dimension: 143
- Dominant: No
\(\lambda=(29,24,10)\)
- Multiplicity: 283
- Dimension: 945
- Dominant: No
\(\lambda=(34,22,7)\)
- Multiplicity: 24
- Dimension: 3016
- Dominant: No
\(\lambda=(38,14,11)\)
- Multiplicity: 1
- Dimension: 1450
- Dominant: No
\(\lambda=(33,16,14)\)
- Multiplicity: 89
- Dimension: 567
- Dominant: No
\(\lambda=(26,21,16)\)
- Multiplicity: 676
- Dimension: 216
- Dominant: No
\(\lambda=(27,27,9)\)
- Multiplicity: 39
- Dimension: 190
- Dominant: No
\(\lambda=(36,17,10)\)
- Multiplicity: 16
- Dimension: 2240
- Dominant: No
\(\lambda=(32,25,6)\)
- Multiplicity: 20
- Dimension: 2240
- Dominant: No
\(\lambda=(31,19,13)\)
- Multiplicity: 368
- Dimension: 910
- Dominant: No
\(\lambda=(24,24,15)\)
- Multiplicity: 179
- Dimension: 55
- Dominant: No
\(\lambda=(29,22,12)\)
- Multiplicity: 545
- Dimension: 836
- Dominant: No
\(\lambda=(34,20,9)\)
- Multiplicity: 62
- Dimension: 2430
- Dominant: No
\(\lambda=(30,28,5)\)
- Multiplicity: 5
- Dimension: 972
- Dominant: No
\(\lambda=(21,21,21)\)
- Multiplicity: 6
- Dimension: 1
- Dominant: No
\(\lambda=(26,19,18)\)
- Multiplicity: 305
- Dimension: 80
- Dominant: No
\(\lambda=(27,25,11)\)
- Multiplicity: 257
- Dimension: 405
- Dominant: No
\(\lambda=(36,15,12)\)
- Multiplicity: 12
- Dimension: 1144
- Dominant: No
\(\lambda=(32,23,8)\)
- Multiplicity: 86
- Dimension: 2080
- Dominant: No
\(\lambda=(31,17,15)\)
- Multiplicity: 213
- Dimension: 405
- Dominant: No
\(\lambda=(24,22,17)\)
- Multiplicity: 388
- Dimension: 81
- Dominant: No
\(\lambda=(29,20,14)\)
- Multiplicity: 636
- Dimension: 595
- Dominant: No
\(\lambda=(34,18,11)\)
- Multiplicity: 85
- Dimension: 1700
- Dominant: No
\(\lambda=(30,26,7)\)
- Multiplicity: 48
- Dimension: 1250
- Dominant: No
\(\lambda=(27,23,13)\)
- Multiplicity: 590
- Dimension: 440
- Dominant: No
\(\lambda=(37,19,7)\)
- Multiplicity: 2
- Dimension: 3952
- Dominant: No
\(\lambda=(32,21,10)\)
- Multiplicity: 191
- Dimension: 1728
- Dominant: No
\(\lambda=(24,20,19)\)
- Multiplicity: 204
- Dimension: 35
- Dominant: No
\(\lambda=(29,18,16)\)
- Multiplicity: 378
- Dimension: 270
- Dominant: No
\(\lambda=(34,16,13)\)
- Multiplicity: 62
- Dimension: 874
- Dominant: No
\(\lambda=(35,22,6)\)
- Multiplicity: 6
- Dimension: 3689
- Dominant: No
\(\lambda=(30,24,9)\)
- Multiplicity: 186
- Dimension: 1288
- Dominant: No
\(\lambda=(27,21,15)\)
- Multiplicity: 741
- Dimension: 343
- Dominant: No
\(\lambda=(28,27,8)\)
- Multiplicity: 45
- Dimension: 440
- Dominant: No
\(\lambda=(33,25,5)\)
- Multiplicity: 5
- Dimension: 2835
- Dominant: No
\(\lambda=(37,17,9)\)
- Multiplicity: 5
- Dimension: 2835
- Dominant: No
\(\lambda=(32,19,12)\)
- Multiplicity: 252
- Dimension: 1232
- Dominant: No
\(\lambda=(25,24,14)\)
- Multiplicity: 325
- Dimension: 143
- Dominant: No
\(\lambda=(35,20,8)\)
- Multiplicity: 23
- Dimension: 3016
- Dominant: No
\(\lambda=(31,28,4)\)
- Multiplicity: 1
- Dimension: 1450
- Dominant: No
\(\lambda=(30,22,11)\)
- Multiplicity: 396
- Dimension: 1134
- Dominant: No
\(\lambda=(22,21,20)\)
- Multiplicity: 59
- Dimension: 8
- Dominant: No
\(\lambda=(27,19,17)\)
- Multiplicity: 449
- Dimension: 162
- Dominant: No
\(\lambda=(28,25,10)\)
- Multiplicity: 227
- Dimension: 640
- Dominant: No
\(\lambda=(33,23,7)\)
- Multiplicity: 35
- Dimension: 2618
- Dominant: No
\(\lambda=(37,15,11)\)
- Multiplicity: 4
- Dimension: 1610
- Dominant: No
\(\lambda=(32,17,14)\)
- Multiplicity: 183
- Dimension: 640
- Dominant: No
\(\lambda=(25,22,16)\)
- Multiplicity: 561
- Dimension: 154
- Dominant: No
\(\lambda=(35,18,10)\)
- Multiplicity: 39
- Dimension: 2187
- Dominant: No
\(\lambda=(31,26,6)\)
- Multiplicity: 20
- Dimension: 1701
- Dominant: No
\(\lambda=(30,20,13)\)
- Multiplicity: 518
- Dimension: 836
- Dominant: No
\(\lambda=(28,23,12)\)
- Multiplicity: 531
- Dimension: 648
- Dominant: No
\(\lambda=(37,13,13)\)
- Multiplicity: 1
- Dimension: 325
- Dominant: No
\(\lambda=(33,21,9)\)
- Multiplicity: 96
- Dimension: 2197
- Dominant: No
\(\lambda=(29,29,5)\)
- Multiplicity: 2
- Dimension: 325
- Dominant: No
\(\lambda=(25,20,18)\)
- Multiplicity: 382
- Dimension: 81
- Dominant: No
\(\lambda=(26,26,11)\)
- Multiplicity: 99
- Dimension: 136
- Dominant: No
\(\lambda=(35,16,12)\)
- Multiplicity: 35
- Dimension: 1250
- Dominant: No
\(\lambda=(36,22,5)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(31,24,8)\)
- Multiplicity: 100
- Dimension: 1700
- Dominant: No
\(\lambda=(30,18,15)\)
- Multiplicity: 378
- Dimension: 442
- Dominant: No
\(\lambda=(23,23,17)\)
- Multiplicity: 135
- Dimension: 28
- Dominant: No
\(\lambda=(28,21,14)\)
- Multiplicity: 725
- Dimension: 512
- Dominant: No
\(\lambda=(29,27,7)\)
- Multiplicity: 32
- Dimension: 756
- Dominant: No
\(\lambda=(34,25,4)\)
- Multiplicity: 1
- Dimension: 3520
- Dominant: Yes
\(\lambda=(38,17,8)\)
- Multiplicity: 1
- Dimension: 3520
- Dominant: No
\(\lambda=(33,19,11)\)
- Multiplicity: 147
- Dimension: 1620
- Dominant: No
\(\lambda=(26,24,13)\)
- Multiplicity: 421
- Dimension: 270
- Dominant: No
\(\lambda=(35,14,14)\)
- Multiplicity: 9
- Dimension: 253
- Dominant: No
\(\lambda=(36,20,7)\)
- Multiplicity: 7
- Dimension: 3689
- Dominant: No
\(\lambda=(31,22,10)\)
- Multiplicity: 250
- Dimension: 1495
- Dominant: No
\(\lambda=(23,21,19)\)
- Multiplicity: 169
- Dimension: 27
- Dominant: No
\(\lambda=(28,19,16)\)
- Multiplicity: 541
- Dimension: 280
- Dominant: No
\(\lambda=(29,25,9)\)
- Multiplicity: 164
- Dimension: 935
- Dominant: No
\(\lambda=(34,23,6)\)
- Multiplicity: 11
- Dimension: 3240
- Dominant: No
\(\lambda=(38,15,10)\)
- Multiplicity: 1
- Dimension: 2160
- Dominant: No
\(\lambda=(33,17,13)\)
- Multiplicity: 129
- Dimension: 935
- Dominant: No
\(\textbf{a}=(12,34,17)\)
- Multiplicity: 1025
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,12)\)
- Multiplicity: 6487
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,26)\)
- Multiplicity: 1394
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,31)\)
- Multiplicity: 2994
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,17)\)
- Multiplicity: 63778
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,13,12)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,31)\)
- Multiplicity: 11042
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,17)\)
- Multiplicity: 81209
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,22)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,31)\)
- Multiplicity: 879
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,36)\)
- Multiplicity: 145
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,17)\)
- Multiplicity: 2577
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,22)\)
- Multiplicity: 39163
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,36)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,8)\)
- Multiplicity: 602
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,22)\)
- Multiplicity: 156207
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,8)\)
- Multiplicity: 1161
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,22)\)
- Multiplicity: 23963
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,27)\)
- Multiplicity: 3488
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,13)\)
- Multiplicity: 4908
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,18,8)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,22)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,27)\)
- Multiplicity: 57963
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,13)\)
- Multiplicity: 33538
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,27)\)
- Multiplicity: 28898
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,18)\)
- Multiplicity: 4908
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,13)\)
- Multiplicity: 4908
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,27)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,32)\)
- Multiplicity: 2890
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,18)\)
- Multiplicity: 105829
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,32)\)
- Multiplicity: 4908
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,18)\)
- Multiplicity: 65865
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,30,4)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,23)\)
- Multiplicity: 602
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,32)\)
- Multiplicity: 94
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,37)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,18)\)
- Multiplicity: 804
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,37,9)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,23)\)
- Multiplicity: 65494
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,9)\)
- Multiplicity: 2369
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,23)\)
- Multiplicity: 129182
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,37,14)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,9)\)
- Multiplicity: 1734
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,23)\)
- Multiplicity: 8933
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,28)\)
- Multiplicity: 6400
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,14)\)
- Multiplicity: 15929
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,16,9)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,28)\)
- Multiplicity: 46562
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,33)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,14)\)
- Multiplicity: 45298
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,37,19)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,28)\)
- Multiplicity: 10921
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,33)\)
- Multiplicity: 2135
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,14)\)
- Multiplicity: 2878
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,19)\)
- Multiplicity: 15929
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,28)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,11,33)\)
- Multiplicity: 1615
- Dimension: 1
- Error: 0
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- Error: 0
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\(\textbf{a}=(19,23,21)\)
- Multiplicity: 141934
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\(\textbf{a}=(26,16,21)\)
- Multiplicity: 71500
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\(\textbf{a}=(33,9,21)\)
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- Error: 0
\(\textbf{a}=(14,23,26)\)
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\(\textbf{a}=(23,28,12)\)
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\(\textbf{a}=(21,16,26)\)
- Multiplicity: 71500
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- Error: 0
\(\textbf{a}=(30,21,12)\)
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\(\textbf{a}=(28,9,26)\)
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\(\textbf{a}=(9,23,31)\)
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\(\textbf{a}=(18,28,17)\)
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- Error: 0
\(\textbf{a}=(37,14,12)\)
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- Error: 0
\(\textbf{a}=(25,21,17)\)
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\(\textbf{a}=(6,35,22)\)
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\(\textbf{a}=(23,9,31)\)
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\(\textbf{a}=(32,14,17)\)
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\(\textbf{a}=(13,28,22)\)
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\(\textbf{a}=(29,26,8)\)
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\(\textbf{a}=(27,14,22)\)
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\(\textbf{a}=(8,28,27)\)
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\(\textbf{a}=(17,33,13)\)
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\(\textbf{a}=(36,19,8)\)
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\(\textbf{a}=(34,7,22)\)
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- Error: 0
\(\textbf{a}=(15,21,27)\)
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\(\textbf{a}=(24,26,13)\)
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- Error: 0
\(\textbf{a}=(31,19,13)\)
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- Error: 0
\(\textbf{a}=(29,7,27)\)
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- Error: 0
\(\textbf{a}=(10,21,32)\)
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- Error: 0
\(\textbf{a}=(19,26,18)\)
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- Error: 0
\(\textbf{a}=(38,12,13)\)
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\(\textbf{a}=(17,14,32)\)
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- Error: 0
\(\textbf{a}=(26,19,18)\)
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- Error: 0
\(\textbf{a}=(28,31,4)\)
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\(\textbf{a}=(7,33,23)\)
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- Error: 0
\(\textbf{a}=(24,7,32)\)
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- Error: 0
\(\textbf{a}=(12,14,37)\)
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- Error: 0
\(\textbf{a}=(33,12,18)\)
- Multiplicity: 2135
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- Error: 0
\(\textbf{a}=(16,38,9)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(21,30,12)\)
- Multiplicity: 9733
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,18,26)\)
- Multiplicity: 86498
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,37,17)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,12)\)
- Multiplicity: 16891
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,11,26)\)
- Multiplicity: 12795
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,25,31)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,17)\)
- Multiplicity: 19504
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,16,12)\)
- Multiplicity: 423
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,4,26)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,18,31)\)
- Multiplicity: 9968
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,17)\)
- Multiplicity: 110195
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,11,31)\)
- Multiplicity: 4618
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,36)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,17)\)
- Multiplicity: 19504
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,30,22)\)
- Multiplicity: 6722
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,31)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,36)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,9,17)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,8)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,22)\)
- Multiplicity: 129182
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,8)\)
- Multiplicity: 1523
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,22)\)
- Multiplicity: 82128
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,27)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,35,13)\)
- Multiplicity: 476
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,8)\)
- Multiplicity: 196
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,22)\)
- Multiplicity: 1155
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,27)\)
- Multiplicity: 28898
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,28,13)\)
- Multiplicity: 23963
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,27)\)
- Multiplicity: 57963
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,35,18)\)
- Multiplicity: 252
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,21,13)\)
- Multiplicity: 18349
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,27)\)
- Multiplicity: 3488
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,32)\)
- Multiplicity: 602
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,18)\)
- Multiplicity: 46562
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,14,13)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,32)\)
- Multiplicity: 6070
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,18)\)
- Multiplicity: 120904
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,33,4)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,23)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,32)\)
- Multiplicity: 1155
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,37)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,18)\)
- Multiplicity: 9968
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,26,4)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,23)\)
- Multiplicity: 16891
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,37)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,7,18)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,9)\)
- Multiplicity: 684
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,23)\)
- Multiplicity: 141934
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,9)\)
- Multiplicity: 3349
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,23)\)
- Multiplicity: 45298
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,28)\)
- Multiplicity: 586
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,33,14)\)
- Multiplicity: 2878
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,9)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,23)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,28)\)
- Multiplicity: 31417
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,26,14)\)
- Multiplicity: 45298
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,28)\)
- Multiplicity: 31417
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,33)\)
- Multiplicity: 684
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,19,14)\)
- Multiplicity: 15929
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,19)\)
- Multiplicity: 1615
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,28)\)
- Multiplicity: 586
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,33)\)
- Multiplicity: 2878
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,19)\)
- Multiplicity: 86498
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,12,14)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,33)\)
- Multiplicity: 165
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,19)\)
- Multiplicity: 109162
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,5)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,24)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,38)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,19)\)
- Multiplicity: 3927
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,5)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,38,10)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,24)\)
- Multiplicity: 32331
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,38)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,10)\)
- Multiplicity: 2994
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,24)\)
- Multiplicity: 128717
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,38,15)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,10)\)
- Multiplicity: 5426
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,24)\)
- Multiplicity: 19703
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,29)\)
- Multiplicity: 1394
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,31,15)\)
- Multiplicity: 11042
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,17,10)\)
- Multiplicity: 93
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,24)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,29)\)
- Multiplicity: 27536
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,15)\)
- Multiplicity: 67862
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,29)\)
- Multiplicity: 13370
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,34)\)
- Multiplicity: 569
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,15)\)
- Multiplicity: 11042
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,20)\)
- Multiplicity: 6487
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,29)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,34)\)
- Multiplicity: 1025
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,10,15)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,6)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,20)\)
- Multiplicity: 128717
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,34)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,6)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,20)\)
- Multiplicity: 81209
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,25)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,6)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,36,11)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,20)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,25)\)
- Multiplicity: 48694
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,11)\)
- Multiplicity: 8933
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,25)\)
- Multiplicity: 96264
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,16)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,11)\)
- Multiplicity: 6722
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,25)\)
- Multiplicity: 6400
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,30)\)
- Multiplicity: 2369
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,16)\)
- Multiplicity: 30415
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,15,11)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,30)\)
- Multiplicity: 19504
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,16)\)
- Multiplicity: 82128
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,21)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,30)\)
- Multiplicity: 4217
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,35)\)
- Multiplicity: 342
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,16)\)
- Multiplicity: 6070
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,21)\)
- Multiplicity: 18349
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,35)\)
- Multiplicity: 252
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,7)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,21)\)
- Multiplicity: 156207
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,7)\)
- Multiplicity: 557
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,21)\)
- Multiplicity: 49292
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,26)\)
- Multiplicity: 1394
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,7)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,12)\)
- Multiplicity: 1025
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,21)\)
- Multiplicity: 196
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,26)\)
- Multiplicity: 58924
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,12)\)
- Multiplicity: 19703
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,26)\)
- Multiplicity: 58924
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{9,\lambda}(2,3;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{9,1}(2,3;6)\). 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 \(\beta_{9,\textbf{a}}(2,3;6)\). 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!