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 |
(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 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(55,55,55) |
\(\lambda=(25,16,16)\)
- Multiplicity: 4
- Dimension: 55
- Dominant: No
\(\lambda=(31,20,6)\)
- Multiplicity: 23
- Dimension: 2430
- Dominant: No
\(\lambda=(30,14,13)\)
- Multiplicity: 1
- Dimension: 323
- Dominant: No
\(\lambda=(26,22,9)\)
- Multiplicity: 148
- Dimension: 665
- Dominant: No
\(\lambda=(23,19,15)\)
- Multiplicity: 190
- Dimension: 125
- Dominant: No
\(\lambda=(33,15,9)\)
- Multiplicity: 12
- Dimension: 1729
- Dominant: No
\(\lambda=(29,23,5)\)
- Multiplicity: 19
- Dimension: 1729
- Dominant: No
\(\lambda=(28,17,12)\)
- Multiplicity: 3
- Dimension: 648
- Dominant: No
\(\lambda=(31,18,8)\)
- Multiplicity: 45
- Dimension: 1925
- Dominant: No
\(\lambda=(27,26,4)\)
- Multiplicity: 3
- Dimension: 575
- Dominant: No
\(\lambda=(26,20,11)\)
- Multiplicity: 2
- Dimension: 595
- Dominant: No
\(\lambda=(23,17,17)\)
- Multiplicity: 52
- Dimension: 28
- Dominant: No
\(\lambda=(24,23,10)\)
- Multiplicity: 95
- Dimension: 224
- Dominant: No
\(\lambda=(33,13,11)\)
- Multiplicity: 8
- Dimension: 756
- Dominant: No
\(\lambda=(29,21,7)\)
- Multiplicity: 68
- Dimension: 1620
- Dominant: No
\(\lambda=(28,15,14)\)
- Multiplicity: 1
- Dimension: 224
- Dominant: No
\(\lambda=(21,20,16)\)
- Multiplicity: 70
- Dimension: 35
- Dominant: No
\(\lambda=(26,18,13)\)
- Multiplicity: 4
- Dimension: 405
- Dominant: No
\(\lambda=(31,16,10)\)
- Multiplicity: 2
- Dimension: 1288
- Dominant: No
\(\lambda=(32,22,3)\)
- Multiplicity: 1
- Dimension: 3410
- Dominant: Yes
\(\lambda=(27,24,6)\)
- Multiplicity: 32
- Dimension: 874
- Dominant: No
\(\lambda=(24,21,12)\)
- Multiplicity: 2
- Dimension: 280
- Dominant: No
\(\lambda=(34,17,6)\)
- Multiplicity: 3
- Dimension: 3240
- Dominant: No
\(\lambda=(29,19,9)\)
- Multiplicity: 123
- Dimension: 1331
- Dominant: No
\(\lambda=(21,18,18)\)
- Multiplicity: 16
- Dimension: 10
- Dominant: No
\(\lambda=(26,16,15)\)
- Multiplicity: 2
- Dimension: 143
- Dominant: No
\(\lambda=(31,14,12)\)
- Multiplicity: 2
- Dimension: 567
- Dominant: No
\(\lambda=(32,20,5)\)
- Multiplicity: 8
- Dimension: 3016
- Dominant: No
\(\lambda=(27,22,8)\)
- Multiplicity: 111
- Dimension: 945
- Dominant: No
\(\lambda=(24,19,14)\)
- Multiplicity: 4
- Dimension: 216
- Dominant: No
\(\lambda=(25,25,7)\)
- Multiplicity: 18
- Dimension: 190
- Dominant: No
\(\lambda=(30,23,4)\)
- Multiplicity: 6
- Dimension: 2240
- Dominant: No
\(\lambda=(34,15,8)\)
- Multiplicity: 4
- Dimension: 2240
- Dominant: No
\(\lambda=(29,17,11)\)
- Multiplicity: 1
- Dimension: 910
- Dominant: No
\(\lambda=(22,22,13)\)
- Multiplicity: 56
- Dimension: 55
- Dominant: No
\(\lambda=(32,18,7)\)
- Multiplicity: 21
- Dimension: 2430
- Dominant: No
\(\lambda=(28,26,3)\)
- Multiplicity: 1
- Dimension: 972
- Dominant: No
\(\lambda=(27,20,10)\)
- Multiplicity: 1
- Dimension: 836
- Dominant: No
\(\lambda=(19,19,19)\)
- Multiplicity: 3
- Dimension: 1
- Dominant: No
\(\lambda=(24,17,16)\)
- Multiplicity: 104
- Dimension: 80
- Dominant: No
\(\lambda=(25,23,9)\)
- Multiplicity: 108
- Dimension: 405
- Dominant: No
\(\lambda=(30,21,6)\)
- Multiplicity: 31
- Dimension: 2080
- Dominant: No
\(\lambda=(34,13,10)\)
- Multiplicity: 1
- Dimension: 1144
- Dominant: No
\(\lambda=(29,15,13)\)
- Multiplicity: 1
- Dimension: 405
- Dominant: No
\(\lambda=(22,20,15)\)
- Multiplicity: 128
- Dimension: 81
- Dominant: No
\(\lambda=(32,16,9)\)
- Multiplicity: 26
- Dimension: 1700
- Dominant: No
\(\lambda=(28,24,5)\)
- Multiplicity: 17
- Dimension: 1250
- Dominant: No
\(\lambda=(27,18,12)\)
- Multiplicity: 4
- Dimension: 595
- Dominant: No
\(\lambda=(25,21,11)\)
- Multiplicity: 232
- Dimension: 440
- Dominant: No
\(\lambda=(30,19,8)\)
- Multiplicity: 69
- Dimension: 1728
- Dominant: No
\(\lambda=(35,17,5)\)
- Multiplicity: 1
- Dimension: 3952
- Dominant: Yes
\(\lambda=(22,18,17)\)
- Multiplicity: 68
- Dimension: 35
- Dominant: No
\(\lambda=(32,14,11)\)
- Multiplicity: 1
- Dimension: 874
- Dominant: No
\(\lambda=(33,20,4)\)
- Multiplicity: 2
- Dimension: 3689
- Dominant: Yes
\(\lambda=(28,22,7)\)
- Multiplicity: 71
- Dimension: 1288
- Dominant: No
\(\lambda=(27,16,14)\)
- Multiplicity: 4
- Dimension: 270
- Dominant: No
\(\lambda=(25,19,13)\)
- Multiplicity: 3
- Dimension: 343
- Dominant: No
\(\lambda=(31,23,3)\)
- Multiplicity: 1
- Dimension: 2835
- Dominant: No
\(\lambda=(35,15,7)\)
- Multiplicity: 2
- Dimension: 2835
- Dominant: No
\(\lambda=(30,17,10)\)
- Multiplicity: 1
- Dimension: 1232
- Dominant: No
\(\lambda=(26,25,6)\)
- Multiplicity: 19
- Dimension: 440
- Dominant: No
\(\lambda=(23,22,12)\)
- Multiplicity: 120
- Dimension: 143
- Dominant: No
\(\lambda=(33,18,6)\)
- Multiplicity: 7
- Dimension: 3016
- Dominant: No
\(\lambda=(28,20,9)\)
- Multiplicity: 149
- Dimension: 1134
- Dominant: No
\(\lambda=(20,19,18)\)
- Multiplicity: 21
- Dimension: 8
- Dominant: No
\(\lambda=(25,17,15)\)
- Multiplicity: 2
- Dimension: 162
- Dominant: No
\(\lambda=(31,21,5)\)
- Multiplicity: 13
- Dimension: 2618
- Dominant: No
\(\lambda=(35,13,9)\)
- Multiplicity: 2
- Dimension: 1610
- Dominant: No
\(\lambda=(30,15,12)\)
- Multiplicity: 2
- Dimension: 640
- Dominant: No
\(\lambda=(26,23,8)\)
- Multiplicity: 91
- Dimension: 640
- Dominant: No
\(\lambda=(23,20,14)\)
- Multiplicity: 191
- Dimension: 154
- Dominant: No
\(\lambda=(33,16,8)\)
- Multiplicity: 11
- Dimension: 2187
- Dominant: No
\(\lambda=(29,24,4)\)
- Multiplicity: 7
- Dimension: 1701
- Dominant: No
\(\lambda=(28,18,11)\)
- Multiplicity: 1
- Dimension: 836
- Dominant: No
\(\lambda=(31,19,7)\)
- Multiplicity: 36
- Dimension: 2197
- Dominant: No
\(\lambda=(35,11,11)\)
- Multiplicity: 1
- Dimension: 325
- Dominant: No
\(\lambda=(26,21,10)\)
- Multiplicity: 1
- Dimension: 648
- Dominant: No
\(\lambda=(23,18,16)\)
- Multiplicity: 121
- Dimension: 81
- Dominant: No
\(\lambda=(24,24,9)\)
- Multiplicity: 34
- Dimension: 136
- Dominant: No
\(\lambda=(33,14,10)\)
- Multiplicity: 1
- Dimension: 1250
- Dominant: No
\(\lambda=(29,22,6)\)
- Multiplicity: 39
- Dimension: 1700
- Dominant: No
\(\lambda=(28,16,13)\)
- Multiplicity: 3
- Dimension: 442
- Dominant: No
\(\lambda=(21,21,15)\)
- Multiplicity: 53
- Dimension: 28
- Dominant: No
\(\lambda=(31,17,9)\)
- Multiplicity: 54
- Dimension: 1620
- Dominant: No
\(\lambda=(27,25,5)\)
- Multiplicity: 13
- Dimension: 756
- Dominant: No
\(\lambda=(26,19,12)\)
- Multiplicity: 3
- Dimension: 512
- Dominant: No
\(\lambda=(33,12,12)\)
- Multiplicity: 1
- Dimension: 253
- Dominant: No
\(\lambda=(24,22,11)\)
- Multiplicity: 1
- Dimension: 270
- Dominant: No
\(\lambda=(34,18,5)\)
- Multiplicity: 2
- Dimension: 3689
- Dominant: No
\(\lambda=(29,20,8)\)
- Multiplicity: 95
- Dimension: 1495
- Dominant: No
\(\lambda=(21,19,17)\)
- Multiplicity: 63
- Dimension: 27
- Dominant: No
\(\lambda=(26,17,14)\)
- Multiplicity: 4
- Dimension: 280
- Dominant: No
\(\lambda=(31,15,11)\)
- Multiplicity: 43
- Dimension: 935
- Dominant: No
\(\lambda=(32,21,4)\)
- Multiplicity: 3
- Dimension: 3240
- Dominant: No
\(\lambda=(27,23,7)\)
- Multiplicity: 69
- Dimension: 935
- Dominant: No
\(\lambda=(24,20,13)\)
- Multiplicity: 3
- Dimension: 260
- Dominant: No
\(\lambda=(30,24,3)\)
- Multiplicity: 1
- Dimension: 2233
- Dominant: No
\(\lambda=(34,16,7)\)
- Multiplicity: 4
- Dimension: 2755
- Dominant: No
\(\lambda=(29,18,10)\)
- Multiplicity: 2
- Dimension: 1134
- Dominant: No
\(\lambda=(31,13,13)\)
- Multiplicity: 12
- Dimension: 190
- Dominant: No
\(\lambda=(32,19,6)\)
- Multiplicity: 14
- Dimension: 2744
- Dominant: No
\(\lambda=(27,21,9)\)
- Multiplicity: 166
- Dimension: 910
- Dominant: No
\(\lambda=(24,18,15)\)
- Multiplicity: 47
- Dimension: 154
- Dominant: No
\(\lambda=(25,24,8)\)
- Multiplicity: 53
- Dimension: 323
- Dominant: No
\(\lambda=(30,22,5)\)
- Multiplicity: 16
- Dimension: 2187
- Dominant: No
\(\lambda=(34,14,9)\)
- Multiplicity: 3
- Dimension: 1701
- Dominant: No
\(\lambda=(29,16,12)\)
- Multiplicity: 3
- Dimension: 665
- Dominant: No
\(\lambda=(22,21,14)\)
- Multiplicity: 113
- Dimension: 80
- Dominant: No
\(\lambda=(32,17,8)\)
- Multiplicity: 25
- Dimension: 2080
- Dominant: No
\(\lambda=(28,25,4)\)
- Multiplicity: 5
- Dimension: 1144
- Dominant: No
\(\lambda=(27,19,11)\)
- Multiplicity: 1
- Dimension: 729
- Dominant: No
\(\lambda=(25,22,10)\)
- Multiplicity: 1
- Dimension: 442
- Dominant: No
\(\lambda=(30,20,7)\)
- Multiplicity: 52
- Dimension: 1925
- Dominant: No
\(\lambda=(34,12,11)\)
- Multiplicity: 2
- Dimension: 575
- Dominant: No
\(\lambda=(29,14,14)\)
- Multiplicity: 2
- Dimension: 136
- Dominant: No
\(\lambda=(22,19,16)\)
- Multiplicity: 113
- Dimension: 64
- Dominant: No
\(\lambda=(32,15,10)\)
- Multiplicity: 1
- Dimension: 1296
- Dominant: No
\(\lambda=(28,23,6)\)
- Multiplicity: 39
- Dimension: 1296
- Dominant: No
\(\lambda=(27,17,13)\)
- Multiplicity: 2
- Dimension: 440
- Dominant: No
\(\lambda=(25,20,12)\)
- Multiplicity: 3
- Dimension: 405
- Dominant: No
\(\lambda=(30,18,9)\)
- Multiplicity: 82
- Dimension: 1495
- Dominant: No
\(\lambda=(35,16,6)\)
- Multiplicity: 1
- Dimension: 3410
- Dominant: No
\(\lambda=(26,26,5)\)
- Multiplicity: 4
- Dimension: 253
- Dominant: No
\(\lambda=(23,23,11)\)
- Multiplicity: 61
- Dimension: 91
- Dominant: No
\(\lambda=(32,13,12)\)
- Multiplicity: 1
- Dimension: 440
- Dominant: No
\(\lambda=(33,19,5)\)
- Multiplicity: 4
- Dimension: 3375
- Dominant: No
\(\lambda=(28,21,8)\)
- Multiplicity: 112
- Dimension: 1232
- Dominant: No
\(\lambda=(27,15,15)\)
- Multiplicity: 50
- Dimension: 91
- Dominant: No
\(\lambda=(20,20,17)\)
- Multiplicity: 17
- Dimension: 10
- Dominant: No
\(\lambda=(25,18,14)\)
- Multiplicity: 5
- Dimension: 260
- Dominant: No
\(\lambda=(31,22,4)\)
- Multiplicity: 4
- Dimension: 2755
- Dominant: No
\(\lambda=(30,16,11)\)
- Multiplicity: 1
- Dimension: 945
- Dominant: No
\(\lambda=(26,24,7)\)
- Multiplicity: 46
- Dimension: 567
- Dominant: No
\(\lambda=(23,21,13)\)
- Multiplicity: 180
- Dimension: 162
- Dominant: No
\(\lambda=(33,17,7)\)
- Multiplicity: 12
- Dimension: 2618
- Dominant: No
\(\lambda=(29,25,3)\)
- Multiplicity: 2
- Dimension: 1610
- Dominant: No
\(\lambda=(28,19,10)\)
- Multiplicity: 2
- Dimension: 1000
- Dominant: No
\(\textbf{a}=(31,20,6)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,34,11)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,20)\)
- Multiplicity: 1030
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,25)\)
- Multiplicity: 7255
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,11)\)
- Multiplicity: 6514
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,25)\)
- Multiplicity: 22535
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,16)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,11)\)
- Multiplicity: 8655
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,25)\)
- Multiplicity: 2531
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,30)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,16)\)
- Multiplicity: 10424
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,11)\)
- Multiplicity: 120
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,30)\)
- Multiplicity: 1779
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,16)\)
- Multiplicity: 46535
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,30)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,16)\)
- Multiplicity: 6147
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,21)\)
- Multiplicity: 3228
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,16)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,7)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,21)\)
- Multiplicity: 46535
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,7)\)
- Multiplicity: 1240
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,21)\)
- Multiplicity: 23886
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,26)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,12)\)
- Multiplicity: 356
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,7)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,21)\)
- Multiplicity: 186
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,26)\)
- Multiplicity: 8655
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,12)\)
- Multiplicity: 14186
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,26)\)
- Multiplicity: 13528
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,17)\)
- Multiplicity: 171
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,12)\)
- Multiplicity: 8159
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,26)\)
- Multiplicity: 508
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,31)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,17)\)
- Multiplicity: 22535
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,12)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,31)\)
- Multiplicity: 888
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,17)\)
- Multiplicity: 46222
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,3)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,32,22)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,31)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,17)\)
- Multiplicity: 2804
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,3)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,22)\)
- Multiplicity: 7255
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,8)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,22)\)
- Multiplicity: 46222
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,8)\)
- Multiplicity: 2318
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,22)\)
- Multiplicity: 11915
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,27)\)
- Multiplicity: 167
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,13)\)
- Multiplicity: 1890
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,8)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,22)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,27)\)
- Multiplicity: 8159
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,23,13)\)
- Multiplicity: 23886
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,11,27)\)
- Multiplicity: 6514
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,30,18)\)
- Multiplicity: 956
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,16,13)\)
- Multiplicity: 6147
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,4,27)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,18,32)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,23,18)\)
- Multiplicity: 37919
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,9,13)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,11,32)\)
- Multiplicity: 331
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,16,18)\)
- Multiplicity: 37919
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,28,4)\)
- Multiplicity: 38
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,30,23)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,4,32)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,9,18)\)
- Multiplicity: 956
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,21,4)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,35,9)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,23,23)\)
- Multiplicity: 12404
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,28,9)\)
- Multiplicity: 2378
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,16,23)\)
- Multiplicity: 37919
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,35,14)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,21,9)\)
- Multiplicity: 3228
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,9,23)\)
- Multiplicity: 4539
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,23,28)\)
- Multiplicity: 380
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,28,14)\)
- Multiplicity: 6519
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,14,9)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,16,28)\)
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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
\(\textbf{a}=(14,26,17)\)
- Multiplicity: 15265
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- Error: 0
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- Multiplicity: 123
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- Error: 0
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- Error: 0
\(\textbf{a}=(21,19,17)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(30,24,3)\)
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- Error: 0
\(\textbf{a}=(9,26,22)\)
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- Error: 0
\(\textbf{a}=(35,5,17)\)
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- Dimension: 1
- Error: 0
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- Error: 0
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- Multiplicity: 43472
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- Error: 0
\(\textbf{a}=(25,24,8)\)
- Multiplicity: 2531
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,12,22)\)
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- Error: 0
\(\textbf{a}=(4,26,27)\)
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- Error: 0
\(\textbf{a}=(13,31,13)\)
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- Error: 0
\(\textbf{a}=(32,17,8)\)
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- Error: 0
\(\textbf{a}=(30,5,22)\)
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- Error: 0
\(\textbf{a}=(11,19,27)\)
- Multiplicity: 6514
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- Error: 0
\(\textbf{a}=(20,24,13)\)
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- Error: 0
\(\textbf{a}=(18,12,27)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(27,17,13)\)
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- Error: 0
\(\textbf{a}=(25,5,27)\)
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- Error: 0
\(\textbf{a}=(6,19,32)\)
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- Error: 0
\(\textbf{a}=(15,24,18)\)
- Multiplicity: 28999
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- Error: 0
\(\textbf{a}=(34,10,13)\)
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- Error: 0
\(\textbf{a}=(13,12,32)\)
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- Error: 0
\(\textbf{a}=(22,17,18)\)
- Multiplicity: 46222
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- Error: 0
\(\textbf{a}=(24,29,4)\)
- Multiplicity: 30
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- Error: 0
\(\textbf{a}=(3,31,23)\)
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- Error: 0
\(\textbf{a}=(20,5,32)\)
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- Error: 0
\(\textbf{a}=(29,10,18)\)
- Multiplicity: 2203
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- Error: 0
\(\textbf{a}=(31,22,4)\)
- Multiplicity: 12
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- Error: 0
\(\textbf{a}=(10,24,23)\)
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- Error: 0
\(\textbf{a}=(19,29,9)\)
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- Error: 0
\(\textbf{a}=(17,17,23)\)
- Multiplicity: 39096
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- Error: 0
\(\textbf{a}=(26,22,9)\)
- Multiplicity: 3993
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- Error: 0
\(\textbf{a}=(24,10,23)\)
- Multiplicity: 7873
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,24,28)\)
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- Error: 0
\(\textbf{a}=(14,29,14)\)
- Multiplicity: 3700
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,15,9)\)
- Multiplicity: 91
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- Error: 0
\(\textbf{a}=(31,3,23)\)
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- Error: 0
\(\textbf{a}=(12,17,28)\)
- Multiplicity: 5435
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,22,14)\)
- Multiplicity: 31900
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,10,28)\)
- Multiplicity: 3408
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- Error: 0
\(\textbf{a}=(28,15,14)\)
- Multiplicity: 6519
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- Error: 0
\(\textbf{a}=(9,29,19)\)
- Multiplicity: 1593
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- Error: 0
\(\textbf{a}=(26,3,28)\)
- Multiplicity: 6
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- Error: 0
\(\textbf{a}=(7,17,33)\)
- Multiplicity: 46
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\(\textbf{a}=(30,20,7)\)
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- Error: 0
\(\textbf{a}=(28,8,21)\)
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\(\textbf{a}=(9,22,26)\)
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- Error: 0
\(\textbf{a}=(18,27,12)\)
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- Error: 0
\(\textbf{a}=(16,15,26)\)
- Multiplicity: 16202
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- Error: 0
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- Error: 0
\(\textbf{a}=(25,20,12)\)
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- Error: 0
\(\textbf{a}=(23,8,26)\)
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- Error: 0
\(\textbf{a}=(4,22,31)\)
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- Error: 0
\(\textbf{a}=(13,27,17)\)
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- Error: 0
\(\textbf{a}=(32,13,12)\)
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- Error: 0
\(\textbf{a}=(11,15,31)\)
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- Error: 0
\(\textbf{a}=(20,20,17)\)
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- Error: 0
\(\textbf{a}=(22,32,3)\)
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- Error: 0
\(\textbf{a}=(18,8,31)\)
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- Error: 0
\(\textbf{a}=(27,13,17)\)
- Multiplicity: 9544
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- Error: 0
\(\textbf{a}=(29,25,3)\)
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- Error: 0
\(\textbf{a}=(8,27,22)\)
- Multiplicity: 1943
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- Error: 0
\(\textbf{a}=(34,6,17)\)
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- Error: 0
\(\textbf{a}=(17,32,8)\)
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- Error: 0
\(\textbf{a}=(15,20,22)\)
- Multiplicity: 38458
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- Error: 0
\(\textbf{a}=(24,25,8)\)
- Multiplicity: 2531
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- Error: 0
\(\textbf{a}=(22,13,22)\)
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- Error: 0
\(\textbf{a}=(3,27,27)\)
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- Error: 0
\(\textbf{a}=(12,32,13)\)
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- Error: 0
\(\textbf{a}=(31,18,8)\)
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- Error: 0
\(\textbf{a}=(29,6,22)\)
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- Error: 0
\(\textbf{a}=(10,20,27)\)
- Multiplicity: 4791
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- Error: 0
\(\textbf{a}=(19,25,13)\)
- Multiplicity: 17685
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- Error: 0
\(\textbf{a}=(17,13,27)\)
- Multiplicity: 9544
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- Error: 0
\(\textbf{a}=(7,32,18)\)
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- Error: 0
\(\textbf{a}=(26,18,13)\)
- Multiplicity: 13528
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- Error: 0
\(\textbf{a}=(24,6,27)\)
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- Error: 0
\(\textbf{a}=(5,20,32)\)
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- Error: 0
\(\textbf{a}=(14,25,18)\)
- Multiplicity: 20577
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- Error: 0
\(\textbf{a}=(33,11,13)\)
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- Error: 0
\(\textbf{a}=(12,13,32)\)
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- Error: 0
\(\textbf{a}=(21,18,18)\)
- Multiplicity: 52663
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- Error: 0
\(\textbf{a}=(23,30,4)\)
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- Error: 0
\(\textbf{a}=(19,6,32)\)
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- Error: 0
\(\textbf{a}=(28,11,18)\)
- Multiplicity: 4478
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- Error: 0
\(\textbf{a}=(30,23,4)\)
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- Error: 0
\(\textbf{a}=(9,25,23)\)
- Multiplicity: 4539
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- Error: 0
\(\textbf{a}=(18,30,9)\)
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- Error: 0
\(\textbf{a}=(16,18,23)\)
- Multiplicity: 37919
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- Error: 0
\(\textbf{a}=(25,23,9)\)
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- Error: 0
\(\textbf{a}=(23,11,23)\)
- Multiplicity: 12404
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- Error: 0
\(\textbf{a}=(4,25,28)\)
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- Error: 0
\(\textbf{a}=(13,30,14)\)
- Multiplicity: 1890
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- Error: 0
\(\textbf{a}=(32,16,9)\)
- Multiplicity: 236
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- Error: 0
\(\textbf{a}=(30,4,23)\)
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- Error: 0
\(\textbf{a}=(11,18,28)\)
- Multiplicity: 4478
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- Error: 0
\(\textbf{a}=(20,23,14)\)
- Multiplicity: 29676
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- Error: 0
\(\textbf{a}=(18,11,28)\)
- Multiplicity: 4478
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- Error: 0
\(\textbf{a}=(27,16,14)\)
- Multiplicity: 10424
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- Error: 0
\(\textbf{a}=(8,30,19)\)
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- Error: 0
\(\textbf{a}=(25,4,28)\)
- Multiplicity: 38
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- Error: 0
\(\textbf{a}=(6,18,33)\)
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- Error: 0
\(\textbf{a}=(34,9,14)\)
- Multiplicity: 26
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- Error: 0
\(\textbf{a}=(17,35,5)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(15,23,19)\)
- Multiplicity: 34631
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,11,33)\)
- Multiplicity: 120
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- Error: 0
\(\textbf{a}=(24,28,5)\)
- Multiplicity: 143
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- Error: 0
\(\textbf{a}=(22,16,19)\)
- Multiplicity: 43472
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,30,24)\)
- Multiplicity: 3
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- Error: 0
\(\textbf{a}=(20,4,33)\)
- Multiplicity: 2
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- Error: 0
\(\textbf{a}=(31,21,5)\)
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\(\textbf{a}=(12,35,10)\)
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- Error: 0
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\(\textbf{a}=(27,9,21)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(24,21,12)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(12,28,17)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(19,21,17)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(26,14,17)\)
- Multiplicity: 15265
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- Error: 0
\(\textbf{a}=(28,26,3)\)
- Multiplicity: 6
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- Error: 0
\(\textbf{a}=(7,28,22)\)
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- Error: 0
\(\textbf{a}=(33,7,17)\)
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- Error: 0
\(\textbf{a}=(16,33,8)\)
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- Error: 0
\(\textbf{a}=(14,21,22)\)
- Multiplicity: 31900
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- Error: 0
\(\textbf{a}=(23,26,8)\)
- Multiplicity: 2318
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,22)\)
- Multiplicity: 31900
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,13)\)
- Multiplicity: 120
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- Error: 0
\(\textbf{a}=(30,19,8)\)
- Multiplicity: 639
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- Error: 0
\(\textbf{a}=(28,7,22)\)
- Multiplicity: 818
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,27)\)
- Multiplicity: 3228
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- Error: 0
\(\textbf{a}=(18,26,13)\)
- Multiplicity: 13528
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- Error: 0
\(\textbf{a}=(16,14,27)\)
- Multiplicity: 10424
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- Error: 0
\(\textbf{a}=(6,33,18)\)
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- Error: 0
\(\textbf{a}=(25,19,13)\)
- Multiplicity: 17685
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- Error: 0
\(\textbf{a}=(23,7,27)\)
- Multiplicity: 1033
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- Error: 0
\(\textbf{a}=(4,21,32)\)
- Multiplicity: 6
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- Error: 0
\(\textbf{a}=(13,26,18)\)
- Multiplicity: 13528
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,13)\)
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- Error: 0
\(\textbf{a}=(11,14,32)\)
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- Error: 0
\(\textbf{a}=(20,19,18)\)
- Multiplicity: 56163
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,4)\)
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- Error: 0
\(\textbf{a}=(18,7,32)\)
- Multiplicity: 108
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- Error: 0
\(\textbf{a}=(27,12,18)\)
- Multiplicity: 8159
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- Error: 0
\(\textbf{a}=(29,24,4)\)
- Multiplicity: 30
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- Error: 0
\(\textbf{a}=(8,26,23)\)
- Multiplicity: 2318
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,18)\)
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- Error: 0
\(\textbf{a}=(17,31,9)\)
- Multiplicity: 515
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- Error: 0
\(\textbf{a}=(15,19,23)\)
- Multiplicity: 34631
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,9)\)
- Multiplicity: 4729
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,23)\)
- Multiplicity: 17879
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- Error: 0
\(\textbf{a}=(3,26,28)\)
- Multiplicity: 6
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- Error: 0
\(\textbf{a}=(12,31,14)\)
- Multiplicity: 854
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,9)\)
- Multiplicity: 515
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- Error: 0
\(\textbf{a}=(29,5,23)\)
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- Error: 0
\(\textbf{a}=(10,19,28)\)
- Multiplicity: 3408
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- Error: 0
\(\textbf{a}=(19,24,14)\)
- Multiplicity: 25657
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,28)\)
- Multiplicity: 5435
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,14)\)
- Multiplicity: 15265
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,19)\)
- Multiplicity: 217
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- Error: 0
\(\textbf{a}=(24,5,28)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,33)\)
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- Error: 0
\(\textbf{a}=(33,10,14)\)
- Multiplicity: 105
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- Error: 0
\(\textbf{a}=(14,24,19)\)
- Multiplicity: 25657
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,33)\)
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- Error: 0
\(\textbf{a}=(23,29,5)\)
- Multiplicity: 110
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- Error: 0
\(\textbf{a}=(21,17,19)\)
- Multiplicity: 51074
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- Error: 0
\(\textbf{a}=(19,5,33)\)
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- Error: 0
\(\textbf{a}=(30,22,5)\)
- Multiplicity: 74
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- Error: 0
\(\textbf{a}=(28,10,19)\)
- Multiplicity: 3408
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,24)\)
- Multiplicity: 4729
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,10)\)
- Multiplicity: 2203
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,24)\)
- Multiplicity: 30782
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,10)\)
- Multiplicity: 7255
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,24)\)
- Multiplicity: 7873
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,29)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,15)\)
- Multiplicity: 3606
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,10)\)
- Multiplicity: 290
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,3,24)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,29)\)
- Multiplicity: 2804
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,15)\)
- Multiplicity: 38458
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,29)\)
- Multiplicity: 2203
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,34)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,15)\)
- Multiplicity: 10752
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,20)\)
- Multiplicity: 1030
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,29)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,15)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,6)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,20)\)
- Multiplicity: 38458
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,34)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,6)\)
- Multiplicity: 461
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,20)\)
- Multiplicity: 38458
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,25)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{8,\lambda}(2,3;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{8,1}(2,3;6)\). 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 \(\beta_{8,\textbf{a}}(2,3;6)\). 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!