Current Betti Table Entry:
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25 |
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28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40 |
41 |
42 |
| 0 |
(1,0,0) |
(8,1,0) |
(15,1,1) |
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· |
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· |
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· |
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· |
· |
| 1 |
· |
· |
(20,5,0) |
(27,5,1) |
(33,6,2) |
(39,6,4) |
(44,9,4) |
(49,11,5) |
(54,12,7) |
(59,12,10) |
(63,16,10) |
(67,19,11) |
(71,21,13) |
(75,22,16) |
(79,22,20) |
(82,27,20) |
(85,31,21) |
(88,34,23) |
(91,36,26) |
(94,37,30) |
(97,37,35) |
(99,43,35) |
(101,48,36) |
(103,52,38) |
(105,55,41) |
(107,57,45) |
(109,58,50) |
(111,58,56) |
(112,65,56) |
? |
? |
? |
? |
? |
? |
? |
? |
? |
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| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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· |
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(118,109,86) |
(119,109,93) |
(119,113,97) |
(119,116,102) |
(119,118,108) |
(119,119,115) |
\(\lambda=(20,16,5)\)
- Multiplicity: 47
- Dimension: 510
- Dominant: No
\(\lambda=(29,6,6)\)
- Multiplicity: 3
- Dimension: 300
- Dominant: No
\(\lambda=(25,14,2)\)
- Multiplicity: 22
- Dimension: 1950
- Dominant: No
\(\lambda=(17,13,11)\)
- Multiplicity: 23
- Dimension: 60
- Dominant: No
\(\lambda=(27,9,5)\)
- Multiplicity: 23
- Dimension: 1140
- Dominant: No
\(\lambda=(32,7,2)\)
- Multiplicity: 1
- Dimension: 2496
- Dominant: No
\(\lambda=(23,17,1)\)
- Multiplicity: 11
- Dimension: 1428
- Dominant: No
\(\lambda=(22,11,8)\)
- Multiplicity: 52
- Dimension: 384
- Dominant: No
\(\lambda=(20,14,7)\)
- Multiplicity: 67
- Dimension: 420
- Dominant: No
\(\lambda=(30,10,1)\)
- Multiplicity: 3
- Dimension: 3255
- Dominant: No
\(\lambda=(25,12,4)\)
- Multiplicity: 41
- Dimension: 1449
- Dominant: No
\(\lambda=(21,20,0)\)
- Multiplicity: 1
- Dimension: 483
- Dominant: No
\(\lambda=(18,17,6)\)
- Multiplicity: 24
- Dimension: 168
- Dominant: No
\(\lambda=(27,7,7)\)
- Multiplicity: 5
- Dimension: 231
- Dominant: No
\(\lambda=(32,5,4)\)
- Multiplicity: 1
- Dimension: 840
- Dominant: No
\(\lambda=(28,13,0)\)
- Multiplicity: 1
- Dimension: 3360
- Dominant: No
\(\lambda=(23,15,3)\)
- Multiplicity: 38
- Dimension: 1287
- Dominant: No
\(\lambda=(15,14,12)\)
- Multiplicity: 6
- Dimension: 15
- Dominant: No
\(\lambda=(20,12,9)\)
- Multiplicity: 52
- Dimension: 234
- Dominant: No
\(\lambda=(30,8,3)\)
- Multiplicity: 7
- Dimension: 2001
- Dominant: No
\(\lambda=(25,10,6)\)
- Multiplicity: 38
- Dimension: 840
- Dominant: No
\(\lambda=(21,18,2)\)
- Multiplicity: 15
- Dimension: 714
- Dominant: No
\(\lambda=(18,15,8)\)
- Multiplicity: 47
- Dimension: 192
- Dominant: No
\(\lambda=(28,11,2)\)
- Multiplicity: 11
- Dimension: 2520
- Dominant: No
\(\lambda=(23,13,5)\)
- Multiplicity: 60
- Dimension: 990
- Dominant: No
\(\lambda=(26,14,1)\)
- Multiplicity: 11
- Dimension: 2457
- Dominant: No
\(\lambda=(30,6,5)\)
- Multiplicity: 4
- Dimension: 675
- Dominant: No
\(\lambda=(25,8,8)\)
- Multiplicity: 9
- Dimension: 171
- Dominant: No
\(\lambda=(21,16,4)\)
- Multiplicity: 43
- Dimension: 741
- Dominant: No
\(\lambda=(18,13,10)\)
- Multiplicity: 37
- Dimension: 120
- Dominant: No
\(\lambda=(19,19,3)\)
- Multiplicity: 6
- Dimension: 153
- Dominant: No
\(\lambda=(28,9,4)\)
- Multiplicity: 16
- Dimension: 1560
- Dominant: No
\(\lambda=(24,17,0)\)
- Multiplicity: 3
- Dimension: 1872
- Dominant: No
\(\lambda=(23,11,7)\)
- Multiplicity: 55
- Dimension: 585
- Dominant: No
\(\lambda=(16,16,9)\)
- Multiplicity: 12
- Dimension: 36
- Dominant: No
\(\lambda=(26,12,3)\)
- Multiplicity: 29
- Dimension: 1875
- Dominant: No
\(\lambda=(21,14,6)\)
- Multiplicity: 67
- Dimension: 612
- Dominant: No
\(\lambda=(19,17,5)\)
- Multiplicity: 31
- Dimension: 312
- Dominant: No
\(\lambda=(28,7,6)\)
- Multiplicity: 7
- Dimension: 528
- Dominant: No
\(\lambda=(33,5,3)\)
- Multiplicity: 1
- Dimension: 1392
- Dominant: No
\(\lambda=(24,15,2)\)
- Multiplicity: 23
- Dimension: 1680
- Dominant: No
\(\lambda=(23,9,9)\)
- Multiplicity: 15
- Dimension: 120
- Dominant: No
\(\lambda=(16,14,11)\)
- Multiplicity: 17
- Dimension: 42
- Dominant: No
\(\lambda=(26,10,5)\)
- Multiplicity: 33
- Dimension: 1173
- Dominant: No
\(\lambda=(31,8,2)\)
- Multiplicity: 3
- Dimension: 2604
- Dominant: No
\(\lambda=(22,18,1)\)
- Multiplicity: 9
- Dimension: 1035
- Dominant: No
\(\lambda=(21,12,8)\)
- Multiplicity: 62
- Dimension: 375
- Dominant: No
\(\lambda=(19,15,7)\)
- Multiplicity: 57
- Dimension: 315
- Dominant: No
\(\lambda=(29,11,1)\)
- Multiplicity: 5
- Dimension: 3135
- Dominant: No
\(\lambda=(24,13,4)\)
- Multiplicity: 46
- Dimension: 1320
- Dominant: No
\(\lambda=(26,8,7)\)
- Multiplicity: 14
- Dimension: 399
- Dominant: No
\(\lambda=(27,14,0)\)
- Multiplicity: 2
- Dimension: 3045
- Dominant: No
\(\lambda=(31,6,4)\)
- Multiplicity: 3
- Dimension: 1131
- Dominant: No
\(\lambda=(22,16,3)\)
- Multiplicity: 35
- Dimension: 1029
- Dominant: No
\(\lambda=(21,10,10)\)
- Multiplicity: 14
- Dimension: 78
- Dominant: No
\(\lambda=(19,13,9)\)
- Multiplicity: 54
- Dimension: 210
- Dominant: No
\(\lambda=(20,19,2)\)
- Multiplicity: 7
- Dimension: 360
- Dominant: No
\(\lambda=(29,9,3)\)
- Multiplicity: 11
- Dimension: 2058
- Dominant: No
\(\lambda=(24,11,6)\)
- Multiplicity: 50
- Dimension: 840
- Dominant: No
\(\lambda=(17,16,8)\)
- Multiplicity: 25
- Dimension: 99
- Dominant: No
\(\lambda=(27,12,2)\)
- Multiplicity: 16
- Dimension: 2376
- Dominant: No
\(\lambda=(22,14,5)\)
- Multiplicity: 62
- Dimension: 855
- Dominant: No
\(\lambda=(19,11,11)\)
- Multiplicity: 14
- Dimension: 45
- Dominant: No
\(\lambda=(20,17,4)\)
- Multiplicity: 31
- Dimension: 504
- Dominant: No
\(\lambda=(25,15,1)\)
- Multiplicity: 12
- Dimension: 2145
- Dominant: No
\(\lambda=(29,7,5)\)
- Multiplicity: 8
- Dimension: 897
- Dominant: No
\(\lambda=(24,9,8)\)
- Multiplicity: 23
- Dimension: 288
- Dominant: No
\(\lambda=(17,14,10)\)
- Multiplicity: 30
- Dimension: 90
- Dominant: No
\(\lambda=(27,10,4)\)
- Multiplicity: 24
- Dimension: 1575
- Dominant: No
\(\lambda=(32,8,1)\)
- Multiplicity: 1
- Dimension: 3300
- Dominant: Yes
\(\lambda=(23,18,0)\)
- Multiplicity: 3
- Dimension: 1425
- Dominant: No
\(\lambda=(22,12,7)\)
- Multiplicity: 66
- Dimension: 561
- Dominant: No
\(\lambda=(20,15,6)\)
- Multiplicity: 59
- Dimension: 480
- Dominant: No
\(\lambda=(25,13,3)\)
- Multiplicity: 34
- Dimension: 1716
- Dominant: No
\(\lambda=(17,12,12)\)
- Multiplicity: 7
- Dimension: 21
- Dominant: No
\(\lambda=(18,18,5)\)
- Multiplicity: 11
- Dimension: 105
- Dominant: No
\(\lambda=(27,8,6)\)
- Multiplicity: 15
- Dimension: 690
- Dominant: No
\(\lambda=(32,6,3)\)
- Multiplicity: 2
- Dimension: 1674
- Dominant: No
\(\lambda=(23,16,2)\)
- Multiplicity: 23
- Dimension: 1380
- Dominant: No
\(\lambda=(22,10,9)\)
- Multiplicity: 30
- Dimension: 195
- Dominant: No
\(\lambda=(15,15,11)\)
- Multiplicity: 7
- Dimension: 15
- Dominant: No
\(\lambda=(20,13,8)\)
- Multiplicity: 64
- Dimension: 336
- Dominant: No
\(\lambda=(30,9,2)\)
- Multiplicity: 5
- Dimension: 2640
- Dominant: No
\(\lambda=(25,11,5)\)
- Multiplicity: 44
- Dimension: 1155
- Dominant: No
\(\lambda=(21,19,1)\)
- Multiplicity: 6
- Dimension: 627
- Dominant: No
\(\lambda=(18,16,7)\)
- Multiplicity: 38
- Dimension: 195
- Dominant: No
\(\lambda=(28,12,1)\)
- Multiplicity: 7
- Dimension: 2958
- Dominant: No
\(\lambda=(23,14,4)\)
- Multiplicity: 50
- Dimension: 1155
- Dominant: No
\(\lambda=(15,13,13)\)
- Multiplicity: 3
- Dimension: 6
- Dominant: No
\(\lambda=(20,11,10)\)
- Multiplicity: 28
- Dimension: 120
- Dominant: No
\(\lambda=(26,15,0)\)
- Multiplicity: 2
- Dimension: 2688
- Dominant: No
\(\lambda=(30,7,4)\)
- Multiplicity: 5
- Dimension: 1344
- Dominant: No
\(\lambda=(25,9,7)\)
- Multiplicity: 27
- Dimension: 510
- Dominant: No
\(\lambda=(21,17,3)\)
- Multiplicity: 28
- Dimension: 750
- Dominant: No
\(\lambda=(18,14,9)\)
- Multiplicity: 47
- Dimension: 165
- Dominant: No
\(\lambda=(28,10,3)\)
- Multiplicity: 17
- Dimension: 2052
- Dominant: No
\(\lambda=(23,12,6)\)
- Multiplicity: 61
- Dimension: 798
- Dominant: No
\(\lambda=(26,13,2)\)
- Multiplicity: 19
- Dimension: 2184
- Dominant: No
\(\lambda=(21,15,5)\)
- Multiplicity: 58
- Dimension: 693
- Dominant: No
\(\lambda=(18,12,11)\)
- Multiplicity: 21
- Dimension: 63
- Dominant: No
\(\lambda=(19,18,4)\)
- Multiplicity: 17
- Dimension: 255
- Dominant: No
\(\lambda=(28,8,5)\)
- Multiplicity: 14
- Dimension: 1050
- Dominant: No
\(\lambda=(33,6,2)\)
- Multiplicity: 1
- Dimension: 2310
- Dominant: Yes
\(\lambda=(24,16,1)\)
- Multiplicity: 12
- Dimension: 1800
- Dominant: No
\(\lambda=(23,10,8)\)
- Multiplicity: 38
- Dimension: 357
- Dominant: No
\(\lambda=(16,15,10)\)
- Multiplicity: 18
- Dimension: 48
- Dominant: No
\(\lambda=(26,11,4)\)
- Multiplicity: 32
- Dimension: 1536
- Dominant: No
\(\lambda=(31,9,1)\)
- Multiplicity: 2
- Dimension: 3312
- Dominant: No
\(\lambda=(22,19,0)\)
- Multiplicity: 2
- Dimension: 960
- Dominant: No
\(\lambda=(21,13,7)\)
- Multiplicity: 70
- Dimension: 504
- Dominant: No
\(\lambda=(19,16,6)\)
- Multiplicity: 45
- Dimension: 330
- Dominant: No
\(\lambda=(29,12,0)\)
- Multiplicity: 1
- Dimension: 3627
- Dominant: Yes
\(\lambda=(24,14,3)\)
- Multiplicity: 37
- Dimension: 1518
- Dominant: No
\(\lambda=(16,13,12)\)
- Multiplicity: 10
- Dimension: 24
- Dominant: No
\(\lambda=(26,9,6)\)
- Multiplicity: 26
- Dimension: 792
- Dominant: No
\(\lambda=(31,7,3)\)
- Multiplicity: 4
- Dimension: 1875
- Dominant: No
\(\lambda=(22,17,2)\)
- Multiplicity: 20
- Dimension: 1056
- Dominant: No
\(\lambda=(21,11,9)\)
- Multiplicity: 44
- Dimension: 231
- Dominant: No
\(\lambda=(19,14,8)\)
- Multiplicity: 59
- Dimension: 273
- Dominant: No
\(\lambda=(29,10,2)\)
- Multiplicity: 8
- Dimension: 2610
- Dominant: No
\(\lambda=(24,12,5)\)
- Multiplicity: 54
- Dimension: 1092
- Dominant: No
\(\lambda=(20,20,1)\)
- Multiplicity: 2
- Dimension: 210
- Dominant: No
\(\lambda=(17,17,7)\)
- Multiplicity: 13
- Dimension: 66
- Dominant: No
\(\lambda=(27,13,1)\)
- Multiplicity: 9
- Dimension: 2730
- Dominant: No
\(\lambda=(31,5,5)\)
- Multiplicity: 1
- Dimension: 378
- Dominant: No
\(\lambda=(22,15,4)\)
- Multiplicity: 49
- Dimension: 960
- Dominant: No
\(\lambda=(14,14,13)\)
- Multiplicity: 1
- Dimension: 3
- Dominant: No
\(\lambda=(19,12,10)\)
- Multiplicity: 36
- Dimension: 132
- Dominant: No
\(\lambda=(20,18,3)\)
- Multiplicity: 18
- Dimension: 456
- Dominant: No
\(\lambda=(25,16,0)\)
- Multiplicity: 3
- Dimension: 2295
- Dominant: No
\(\lambda=(29,8,4)\)
- Multiplicity: 10
- Dimension: 1485
- Dominant: No
\(\lambda=(24,10,7)\)
- Multiplicity: 41
- Dimension: 570
- Dominant: No
\(\lambda=(17,15,9)\)
- Multiplicity: 33
- Dimension: 105
- Dominant: No
\(\lambda=(27,11,3)\)
- Multiplicity: 23
- Dimension: 1989
- Dominant: No
\(\lambda=(22,13,6)\)
- Multiplicity: 67
- Dimension: 720
- Dominant: No
\(\textbf{a}=(3,10,28)\)
- Multiplicity: 127
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,16,21)\)
- Multiplicity: 1651
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,2,16)\)
- Multiplicity: 303
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,14)\)
- Multiplicity: 2261
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,14,2)\)
- Multiplicity: 193
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,28,7)\)
- Multiplicity: 304
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,9)\)
- Multiplicity: 2444
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,3,28)\)
- Multiplicity: 127
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,9,21)\)
- Multiplicity: 6694
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,14)\)
- Multiplicity: 18086
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,7,2)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,0)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,21,7)\)
- Multiplicity: 4981
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,1,9)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,2,21)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(0,22,19)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,14)\)
- Multiplicity: 8336
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,0)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,14,7)\)
- Multiplicity: 5859
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,28,12)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,3,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,9,26)\)
- Multiplicity: 874
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,19)\)
- Multiplicity: 6572
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,1,14)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,5)\)
- Multiplicity: 450
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,0)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,7,7)\)
- Multiplicity: 568
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,21,12)\)
- Multiplicity: 5998
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,2,26)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,19)\)
- Multiplicity: 8336
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,5)\)
- Multiplicity: 2976
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,14,12)\)
- Multiplicity: 18086
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,9,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,15,24)\)
- Multiplicity: 248
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,1,19)\)
- Multiplicity: 123
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,21,17)\)
- Multiplicity: 890
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,5)\)
- Multiplicity: 1832
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,33,3)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,10)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,7,12)\)
- Multiplicity: 4028
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,2,31)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,8,24)\)
- Multiplicity: 2444
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,14,17)\)
- Multiplicity: 13821
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,5)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,26,3)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,10)\)
- Multiplicity: 8921
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,0,12)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,1,24)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,7,17)\)
- Multiplicity: 7200
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,19,3)\)
- Multiplicity: 974
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,10)\)
- Multiplicity: 12557
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,8,29)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,14,22)\)
- Multiplicity: 2261
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,0,17)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,15)\)
- Multiplicity: 4372
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,1)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,12,3)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,26,8)\)
- Multiplicity: 968
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,10)\)
- Multiplicity: 1321
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,1,29)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,7,22)\)
- Multiplicity: 4028
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,15)\)
- Multiplicity: 18583
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,1)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,5,3)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,19,8)\)
- Multiplicity: 8336
- Dimension: 1
- Error: 0
\(\textbf{a}=(0,14,27)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,0,22)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,20,20)\)
- Multiplicity: 126
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,15)\)
- Multiplicity: 4372
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,26,13)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,32,6)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,1)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,12,8)\)
- Multiplicity: 5998
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,7,27)\)
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\(\textbf{a}=(8,13,20)\)
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\(\textbf{a}=(29,11,1)\)
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\(\textbf{a}=(28,5,8)\)
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\(\textbf{a}=(14,0,27)\)
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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
\(\textbf{a}=(32,5,4)\)
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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
\(\textbf{a}=(20,12,9)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(7,13,21)\)
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- Error: 0
\(\textbf{a}=(8,19,14)\)
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- Dimension: 1
- Error: 0
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- Error: 0
\(\textbf{a}=(9,25,7)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(27,5,9)\)
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- Error: 0
\(\textbf{a}=(13,0,28)\)
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- Error: 0
\(\textbf{a}=(14,6,21)\)
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- Error: 0
\(\textbf{a}=(15,12,14)\)
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- Error: 0
\(\textbf{a}=(17,24,0)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(16,18,7)\)
- Multiplicity: 7039
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,13,26)\)
- Multiplicity: 141
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,19,19)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(22,5,14)\)
- Multiplicity: 2261
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,31,5)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(24,17,0)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,11,7)\)
- Multiplicity: 3088
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,25,12)\)
- Multiplicity: 704
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,6,26)\)
- Multiplicity: 874
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,12,19)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(12,24,5)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(30,4,7)\)
- Multiplicity: 57
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,18,12)\)
- Multiplicity: 13361
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,5,19)\)
- Multiplicity: 3183
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,17,5)\)
- Multiplicity: 3183
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,11,12)\)
- Multiplicity: 13361
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,6,31)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,12,24)\)
- Multiplicity: 1411
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,18,17)\)
- Multiplicity: 5008
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,10,5)\)
- Multiplicity: 703
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,30,3)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,24,10)\)
- Multiplicity: 2238
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,4,12)\)
- Multiplicity: 704
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,5,24)\)
- Multiplicity: 1411
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,11,17)\)
- Multiplicity: 15109
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,3,5)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(15,23,3)\)
- Multiplicity: 671
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,17,10)\)
- Multiplicity: 13821
- Dimension: 1
- Error: 0
\(\textbf{a}=(0,12,29)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(1,18,22)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,4,17)\)
- Multiplicity: 1807
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,24,15)\)
- Multiplicity: 248
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,16,3)\)
- Multiplicity: 792
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,30,8)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,10,10)\)
- Multiplicity: 6940
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,5,29)\)
- Multiplicity: 144
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,11,22)\)
- Multiplicity: 4708
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,17,15)\)
- Multiplicity: 11891
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,29,1)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,9,3)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,23,8)\)
- Multiplicity: 3496
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,3,10)\)
- Multiplicity: 127
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,4,22)\)
- Multiplicity: 1437
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,10,15)\)
- Multiplicity: 14500
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,22,1)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,16,8)\)
- Multiplicity: 9580
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,11,27)\)
- Multiplicity: 202
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,17,20)\)
- Multiplicity: 1807
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,3,15)\)
- Multiplicity: 671
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,23,13)\)
- Multiplicity: 1832
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,29,6)\)
- Multiplicity: 157
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,15,1)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,9,8)\)
- Multiplicity: 2444
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,4,27)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,10,20)\)
- Multiplicity: 8921
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,16,13)\)
- Multiplicity: 17206
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,22,6)\)
- Multiplicity: 3165
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,8,1)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,2,8)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,3,20)\)
- Multiplicity: 953
- Dimension: 1
- Error: 0
\(\textbf{a}=(0,23,18)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,9,13)\)
- Multiplicity: 9845
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,15,6)\)
- Multiplicity: 4372
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,29,11)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,4,32)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,10,25)\)
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\(\textbf{a}=(7,16,18)\)
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\(\textbf{a}=(27,8,6)\)
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\(\textbf{a}=(9,28,4)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(26,8,7)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(15,21,5)\)
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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
\(\textbf{a}=(21,8,12)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(29,7,5)\)
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- Error: 0
\(\textbf{a}=(11,27,3)\)
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- Error: 0
\(\textbf{a}=(10,21,10)\)
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- Error: 0
\(\textbf{a}=(28,1,12)\)
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- Error: 0
\(\textbf{a}=(15,2,24)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(16,8,17)\)
- Multiplicity: 9580
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,20,3)\)
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- Error: 0
\(\textbf{a}=(17,14,10)\)
- Multiplicity: 13821
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,9,29)\)
- Multiplicity: 74
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- Error: 0
\(\textbf{a}=(4,15,22)\)
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- Error: 0
\(\textbf{a}=(23,1,17)\)
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- Error: 0
\(\textbf{a}=(5,21,15)\)
- Multiplicity: 2657
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,13,3)\)
- Multiplicity: 414
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,27,8)\)
- Multiplicity: 538
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,7,10)\)
- Multiplicity: 2238
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,2,29)\)
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- Error: 0
\(\textbf{a}=(11,8,22)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(12,14,15)\)
- Multiplicity: 18086
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- Error: 0
\(\textbf{a}=(14,26,1)\)
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- Error: 0
\(\textbf{a}=(32,6,3)\)
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- Error: 0
\(\textbf{a}=(13,20,8)\)
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- Error: 0
\(\textbf{a}=(18,1,22)\)
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- Error: 0
\(\textbf{a}=(0,21,20)\)
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- Error: 0
\(\textbf{a}=(19,7,15)\)
- Multiplicity: 6572
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,27,13)\)
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- Error: 0
\(\textbf{a}=(21,19,1)\)
- Multiplicity: 123
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- Error: 0
\(\textbf{a}=(2,33,6)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(20,13,8)\)
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- Error: 0
\(\textbf{a}=(6,8,27)\)
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- Error: 0
\(\textbf{a}=(7,14,20)\)
- Multiplicity: 5859
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,0,15)\)
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- Error: 0
\(\textbf{a}=(8,20,13)\)
- Multiplicity: 7246
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,26,6)\)
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- Error: 0
\(\textbf{a}=(28,12,1)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(27,6,8)\)
- Multiplicity: 538
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,1,27)\)
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- Error: 0
\(\textbf{a}=(14,7,20)\)
- Multiplicity: 5859
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- Error: 0
\(\textbf{a}=(15,13,13)\)
- Multiplicity: 18583
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- Error: 0
\(\textbf{a}=(16,19,6)\)
- Multiplicity: 4787
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,8,32)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(2,14,25)\)
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- Error: 0
\(\textbf{a}=(21,0,20)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(3,20,18)\)
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- Error: 0
\(\textbf{a}=(23,12,6)\)
- Multiplicity: 2500
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,32,4)\)
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- Error: 0
\(\textbf{a}=(4,26,11)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(22,6,13)\)
- Multiplicity: 3165
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,1,32)\)
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- Error: 0
\(\textbf{a}=(9,7,25)\)
- Multiplicity: 1525
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- Error: 0
\(\textbf{a}=(10,13,18)\)
- Multiplicity: 12557
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- Error: 0
\(\textbf{a}=(30,5,6)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(12,25,4)\)
- Multiplicity: 704
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,19,11)\)
- Multiplicity: 11218
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\(\textbf{a}=(16,0,25)\)
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\(\textbf{a}=(17,6,18)\)
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\(\textbf{a}=(4,7,30)\)
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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
\(\textbf{a}=(9,13,19)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(16,6,19)\)
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- Error: 0
\(\textbf{a}=(18,18,5)\)
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- Error: 0
\(\textbf{a}=(17,12,12)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(5,19,17)\)
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- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,3)\)
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- Error: 0
\(\textbf{a}=(6,25,10)\)
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- Error: 0
\(\textbf{a}=(24,5,12)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(11,6,24)\)
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- Error: 0
\(\textbf{a}=(12,12,17)\)
- Multiplicity: 15562
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,4,5)\)
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- Error: 0
\(\textbf{a}=(14,24,3)\)
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- Error: 0
\(\textbf{a}=(13,18,10)\)
- Multiplicity: 12557
- Dimension: 1
- Error: 0
\(\textbf{a}=(0,19,22)\)
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- Error: 0
\(\textbf{a}=(19,5,17)\)
- Multiplicity: 3183
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,25,15)\)
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- Error: 0
\(\textbf{a}=(21,17,3)\)
- Multiplicity: 890
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,31,8)\)
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- Error: 0
\(\textbf{a}=(20,11,10)\)
- Multiplicity: 8921
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,6,29)\)
- Multiplicity: 157
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,12,22)\)
- Multiplicity: 4028
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,18,15)\)
- Multiplicity: 9148
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,30,1)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,3)\)
- Multiplicity: 127
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,8)\)
- Multiplicity: 2444
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,4,10)\)
- Multiplicity: 327
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,5,22)\)
- Multiplicity: 2261
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,11,15)\)
- Multiplicity: 16662
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,23,1)\)
- Multiplicity: 100
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- Error: 0
\(\textbf{a}=(16,17,8)\)
- Multiplicity: 9580
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,12,27)\)
- Multiplicity: 97
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,18,20)\)
- Multiplicity: 953
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,4,15)\)
- Multiplicity: 1437
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,13)\)
- Multiplicity: 940
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,30,6)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,16,1)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,8)\)
- Multiplicity: 3496
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,5,27)\)
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- Error: 0
\(\textbf{a}=(10,11,20)\)
- Multiplicity: 8921
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,13)\)
- Multiplicity: 15109
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,23,6)\)
- Multiplicity: 2500
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,9,1)\)
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- Error: 0
\(\textbf{a}=(30,3,8)\)
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- Error: 0
\(\textbf{a}=(17,4,20)\)
- Multiplicity: 1807
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,13)\)
- Multiplicity: 12557
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,16,6)\)
- Multiplicity: 4787
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,5,32)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(5,11,25)\)
- Multiplicity: 1027
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,18)\)
- Multiplicity: 5008
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,9,6)\)
- Multiplicity: 874
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,4)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,23,11)\)
- Multiplicity: 3088
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,13)\)
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- Error: 0
\(\textbf{a}=(12,4,25)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,18)\)
- Multiplicity: 12557
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,2,6)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,4)\)
- Multiplicity: 1437
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,16,11)\)
- Multiplicity: 16259
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,17,23)\)
- Multiplicity: 100
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- Error: 0
\(\textbf{a}=(20,3,18)\)
- Multiplicity: 953
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,23,16)\)
- Multiplicity: 303
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,4)\)
- Multiplicity: 1437
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,9)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,9,11)\)
- Multiplicity: 6694
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,4,30)\)
- Multiplicity: 57
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,10,23)\)
- Multiplicity: 3496
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,16,16)\)
- Multiplicity: 12174
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,4)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,28,2)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,9)\)
- Multiplicity: 5088
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,2,11)\)
- Multiplicity: 61
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,3,23)\)
- Multiplicity: 671
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,9,16)\)
- Multiplicity: 12174
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,21,2)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,9)\)
- Multiplicity: 11891
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{4,\lambda}(2,1;8)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{4,1}(2,1;8)\). 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 \(\beta_{4,\textbf{a}}(2,1;8)\). 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!