Current Betti Table Entry:
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17 |
18 |
| 0 |
(1,0,0) |
(5,1,0) |
(9,1,1) |
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| 1 |
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· |
(11,5,0) |
(15,5,1) |
(18,6,2) |
(21,6,4) |
(23,9,4) |
(25,11,5) |
(27,12,7) |
(29,12,10) |
(30,16,10) |
(31,19,11) |
(32,21,13) |
(33,22,16) |
(34,22,20) |
(34,26,21) |
(34,29,23) |
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| 2 |
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· |
· |
· |
· |
· |
· |
· |
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· |
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(33,33,25) |
(34,33,29) |
(34,34,33) |
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5 |
6 |
7 |
8 |
9 |
10 |
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| 0 |
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1 |
3 |
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| 1 |
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26 |
43 |
53 |
63 |
68 |
72 |
73 |
72 |
68 |
63 |
53 |
43 |
26 |
2 |
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| 2 |
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3 |
1 |
1 |
\(\lambda=(26,23,22)\)
- Multiplicity: 10
- Dimension: 24
- Dominant: No
\(\lambda=(31,21,19)\)
- Multiplicity: 6
- Dimension: 231
- Dominant: No
\(\lambda=(29,25,17)\)
- Multiplicity: 14
- Dimension: 315
- Dominant: No
\(\lambda=(31,20,20)\)
- Multiplicity: 4
- Dimension: 78
- Dominant: No
\(\lambda=(29,24,18)\)
- Multiplicity: 21
- Dimension: 273
- Dominant: No
\(\lambda=(32,25,14)\)
- Multiplicity: 1
- Dimension: 960
- Dominant: Yes
\(\lambda=(29,23,19)\)
- Multiplicity: 20
- Dimension: 210
- Dominant: No
\(\lambda=(27,27,17)\)
- Multiplicity: 3
- Dimension: 66
- Dominant: No
\(\lambda=(24,24,23)\)
- Multiplicity: 3
- Dimension: 3
- Dominant: No
\(\lambda=(30,28,13)\)
- Multiplicity: 1
- Dimension: 456
- Dominant: Yes
\(\lambda=(32,24,15)\)
- Multiplicity: 2
- Dimension: 855
- Dominant: No
\(\lambda=(29,22,20)\)
- Multiplicity: 18
- Dimension: 132
- Dominant: No
\(\lambda=(27,26,18)\)
- Multiplicity: 13
- Dimension: 99
- Dominant: No
\(\lambda=(30,27,14)\)
- Multiplicity: 2
- Dimension: 504
- Dominant: No
\(\lambda=(32,23,16)\)
- Multiplicity: 3
- Dimension: 720
- Dominant: No
\(\lambda=(29,21,21)\)
- Multiplicity: 5
- Dimension: 45
- Dominant: No
\(\lambda=(27,25,19)\)
- Multiplicity: 17
- Dimension: 105
- Dominant: No
\(\lambda=(30,26,15)\)
- Multiplicity: 5
- Dimension: 510
- Dominant: No
\(\lambda=(32,22,17)\)
- Multiplicity: 4
- Dimension: 561
- Dominant: No
\(\lambda=(27,24,20)\)
- Multiplicity: 24
- Dimension: 90
- Dominant: No
\(\lambda=(30,25,16)\)
- Multiplicity: 9
- Dimension: 480
- Dominant: No
\(\lambda=(32,21,18)\)
- Multiplicity: 4
- Dimension: 384
- Dominant: No
\(\lambda=(27,23,21)\)
- Multiplicity: 16
- Dimension: 60
- Dominant: No
\(\lambda=(30,24,17)\)
- Multiplicity: 14
- Dimension: 420
- Dominant: No
\(\lambda=(32,20,19)\)
- Multiplicity: 3
- Dimension: 195
- Dominant: No
\(\lambda=(28,28,15)\)
- Multiplicity: 3
- Dimension: 105
- Dominant: No
\(\lambda=(27,22,22)\)
- Multiplicity: 9
- Dimension: 21
- Dominant: No
\(\lambda=(25,25,21)\)
- Multiplicity: 5
- Dimension: 15
- Dominant: No
\(\lambda=(30,23,18)\)
- Multiplicity: 16
- Dimension: 336
- Dominant: No
\(\lambda=(28,27,16)\)
- Multiplicity: 6
- Dimension: 168
- Dominant: No
\(\lambda=(25,24,22)\)
- Multiplicity: 8
- Dimension: 15
- Dominant: No
\(\lambda=(30,22,19)\)
- Multiplicity: 15
- Dimension: 234
- Dominant: No
\(\lambda=(28,26,17)\)
- Multiplicity: 13
- Dimension: 195
- Dominant: No
\(\lambda=(25,23,23)\)
- Multiplicity: 2
- Dimension: 6
- Dominant: No
\(\lambda=(30,21,20)\)
- Multiplicity: 9
- Dimension: 120
- Dominant: No
\(\lambda=(28,25,18)\)
- Multiplicity: 20
- Dimension: 192
- Dominant: No
\(\lambda=(33,22,16)\)
- Multiplicity: 1
- Dimension: 798
- Dominant: Yes
\(\lambda=(31,26,14)\)
- Multiplicity: 2
- Dimension: 741
- Dominant: No
\(\lambda=(28,24,19)\)
- Multiplicity: 26
- Dimension: 165
- Dominant: No
\(\lambda=(33,21,17)\)
- Multiplicity: 1
- Dimension: 585
- Dominant: No
\(\lambda=(31,25,15)\)
- Multiplicity: 3
- Dimension: 693
- Dominant: No
\(\lambda=(28,23,20)\)
- Multiplicity: 23
- Dimension: 120
- Dominant: No
\(\lambda=(33,20,18)\)
- Multiplicity: 1
- Dimension: 357
- Dominant: No
\(\lambda=(31,24,16)\)
- Multiplicity: 7
- Dimension: 612
- Dominant: No
\(\lambda=(29,28,14)\)
- Multiplicity: 1
- Dimension: 255
- Dominant: No
\(\lambda=(28,22,21)\)
- Multiplicity: 14
- Dimension: 63
- Dominant: No
\(\lambda=(26,26,19)\)
- Multiplicity: 9
- Dimension: 36
- Dominant: No
\(\lambda=(31,23,17)\)
- Multiplicity: 8
- Dimension: 504
- Dominant: No
\(\lambda=(29,27,15)\)
- Multiplicity: 3
- Dimension: 312
- Dominant: No
\(\lambda=(26,25,20)\)
- Multiplicity: 14
- Dimension: 48
- Dominant: No
\(\lambda=(31,22,18)\)
- Multiplicity: 10
- Dimension: 375
- Dominant: No
\(\lambda=(29,26,16)\)
- Multiplicity: 9
- Dimension: 330
- Dominant: No
\(\lambda=(26,24,21)\)
- Multiplicity: 17
- Dimension: 42
- Dominant: No
\(\textbf{a}=(23,21,27)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,31,26)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,17,21)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,20)\)
- Multiplicity: 841
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,18,33)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,14,27)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,20)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,30,19)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,24,26)\)
- Multiplicity: 1254
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,21,32)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,23,19)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,33,18)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,25)\)
- Multiplicity: 601
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,17,26)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,14,32)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,24,31)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,26,18)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,30,24)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,25)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,17,31)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,29,17)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,23,24)\)
- Multiplicity: 1843
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,30)\)
- Multiplicity: 206
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,16)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,22,17)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,26,23)\)
- Multiplicity: 1421
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,16,24)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,30)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,23,29)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,16)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,29,22)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,19,23)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,16,29)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,26,28)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,28,15)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,21)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,22,22)\)
- Multiplicity: 1085
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,19,28)\)
- Multiplicity: 481
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,29,27)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,31,14)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,21)\)
- Multiplicity: 1337
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,22,27)\)
- Multiplicity: 1085
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,21)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,28,20)\)
- Multiplicity: 627
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,19,33)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,15,27)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,21,20)\)
- Multiplicity: 206
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,31,19)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,26)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,22,32)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,24,19)\)
- Multiplicity: 481
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,28,25)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,26)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,15,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,31)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,27,18)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,31,24)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,21,25)\)
- Multiplicity: 1337
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,31)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,28,30)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,17)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,20,18)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,24,24)\)
- Multiplicity: 1843
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,14,25)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,21,30)\)
- Multiplicity: 206
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,33,16)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,17)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,27,23)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,17,24)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,14,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,24,29)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,26,16)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,22)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,20,23)\)
- Multiplicity: 627
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,17,29)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,27,28)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,29,15)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,33,21)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,22)\)
- Multiplicity: 1421
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,20,28)\)
- Multiplicity: 627
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,27)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,32,14)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,26,21)\)
- Multiplicity: 1254
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,22)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,13,28)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,23,27)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,19,21)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,29,20)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,25,14)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,20,33)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,16,27)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,22,20)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,32,19)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,28,13)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,26,26)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,23,32)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,25,19)\)
- Multiplicity: 601
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,29,25)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,19,26)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,16,32)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,26,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,28,18)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,32,24)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,22,25)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,19,31)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,31,17)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,21,18)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,25,24)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,15,25)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,22,30)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,24,17)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,28,23)\)
- Multiplicity: 627
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,18,24)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,15,30)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,25,29)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,27,16)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,31,22)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,21,23)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,18,29)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,28,28)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,15)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,24,22)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,21,28)\)
- Multiplicity: 714
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,27,21)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,17,22)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,14,28)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,24,27)\)
- Multiplicity: 841
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,20,21)\)
- Multiplicity: 206
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,30,20)\)
- Multiplicity: 206
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,26,14)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,21,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,17,27)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,27,26)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,20)\)
- Multiplicity: 627
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,33,19)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,29,13)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,24,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,26,19)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,25)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,20,26)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,17,32)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,19,19)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,29,18)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,25)\)
- Multiplicity: 1721
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,20,31)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,32,17)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,22,18)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,26,24)\)
- Multiplicity: 1254
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,25)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,30)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,25,17)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,29,23)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,19,24)\)
- Multiplicity: 481
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,30)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,26,29)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,16)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,32,22)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,22,23)\)
- Multiplicity: 1421
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,19,29)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,29,28)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,31,15)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,25,22)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,22,28)\)
- Multiplicity: 714
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,24,15)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,28,21)\)
- Multiplicity: 714
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,18,22)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,15,28)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,25,27)\)
- Multiplicity: 601
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,21,21)\)
- Multiplicity: 420
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,31,20)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,27,14)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,22,33)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,18,27)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,26)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,24,20)\)
- Multiplicity: 841
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,30,13)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,25,32)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,27,19)\)
- Multiplicity: 601
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,31,25)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,26)\)
- Multiplicity: 1254
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,18,32)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,20,19)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,30,18)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,24,25)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,26)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,31)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,23,18)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,17)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,27,24)\)
- Multiplicity: 841
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,17,25)\)
- Multiplicity: 135
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,24,30)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,17)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,30,23)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,20,24)\)
- Multiplicity: 841
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,17,30)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,27,29)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,29,16)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,33,22)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,23,23)\)
- Multiplicity: 1721
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,20,29)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,30,28)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,22,16)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,32,15)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,26,22)\)
- Multiplicity: 1421
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,16,23)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,13,29)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,23,28)\)
- Multiplicity: 627
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,25,15)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,29,21)\)
- Multiplicity: 420
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,19,22)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,16,28)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,27)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,22,21)\)
- Multiplicity: 714
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,32,20)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,28,14)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,27)\)
- Multiplicity: 601
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,29,26)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,25,20)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,16,33)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,18,20)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,28,19)\)
- Multiplicity: 481
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,32,25)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,22,26)\)
- Multiplicity: 1421
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,32)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,21,19)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,18)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,25,25)\)
- Multiplicity: 1337
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,15,26)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,22,31)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,18)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,28,24)\)
- Multiplicity: 481
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,18,25)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,15,31)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,25,30)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,27,17)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,31,23)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,21,24)\)
- Multiplicity: 1254
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,18,30)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,28,29)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,30,16)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,23)\)
- Multiplicity: 1843
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,21,29)\)
- Multiplicity: 420
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,23,16)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,27,22)\)
- Multiplicity: 1085
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,23)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,14,29)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,28)\)
- Multiplicity: 481
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,26,15)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,30,21)\)
- Multiplicity: 206
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,20,22)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,28)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,27,27)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,33,20)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,14)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,23,21)\)
- Multiplicity: 1014
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,20,27)\)
- Multiplicity: 841
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,30,26)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,26,20)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,19,20)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,19)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,23,26)\)
- Multiplicity: 1421
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,20,32)\)
- Multiplicity: 23
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,19)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,32,18)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,26,25)\)
- Multiplicity: 970
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,16,26)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,23,31)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,25,18)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,24)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,19,25)\)
- Multiplicity: 601
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,16,31)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,26,30)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,28,17)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,32,23)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,24)\)
- Multiplicity: 1623
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,19,30)\)
- Multiplicity: 178
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,29)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,31,16)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,21,17)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,25,23)\)
- Multiplicity: 1721
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,24)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,29)\)
- Multiplicity: 395
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,24,16)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,28,22)\)
- Multiplicity: 714
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,18,23)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,29)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,25,28)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,15)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,31,21)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,21,22)\)
- Multiplicity: 714
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,18,28)\)
- Multiplicity: 319
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,28,27)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,30,14)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,24,21)\)
- Multiplicity: 1254
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{13,\lambda}(2,1;5)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{13,1}(2,1;5)\). 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 \(\beta_{13,\textbf{a}}(2,1;5)\). 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!