Current Betti Table Entry:
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33 |
34 |
35 |
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38 |
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41 |
42 |
| 0 |
(1,0,0) |
(8,1,0) |
(15,1,1) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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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) |
\(\lambda=(109,104,100)\)
- Multiplicity: 166
- Dimension: 165
- Dominant: No
\(\lambda=(110,110,93)\)
- Multiplicity: 30
- Dimension: 171
- Dominant: No
\(\lambda=(115,108,90)\)
- Multiplicity: 52
- Dimension: 2052
- Dominant: No
\(\lambda=(114,102,97)\)
- Multiplicity: 129
- Dimension: 741
- Dominant: No
\(\lambda=(107,107,99)\)
- Multiplicity: 53
- Dimension: 45
- Dominant: No
\(\lambda=(118,109,86)\)
- Multiplicity: 1
- Dimension: 4080
- Dominant: Yes
\(\lambda=(117,103,93)\)
- Multiplicity: 27
- Dimension: 2145
- Dominant: No
\(\lambda=(113,111,89)\)
- Multiplicity: 30
- Dimension: 897
- Dominant: No
\(\lambda=(112,105,96)\)
- Multiplicity: 228
- Dimension: 720
- Dominant: No
\(\lambda=(109,102,102)\)
- Multiplicity: 38
- Dimension: 36
- Dominant: No
\(\lambda=(110,108,95)\)
- Multiplicity: 132
- Dimension: 357
- Dominant: No
\(\lambda=(116,112,85)\)
- Multiplicity: 3
- Dimension: 2310
- Dominant: No
\(\lambda=(115,106,92)\)
- Multiplicity: 85
- Dimension: 1875
- Dominant: No
\(\lambda=(114,100,99)\)
- Multiplicity: 51
- Dimension: 255
- Dominant: No
\(\lambda=(107,105,101)\)
- Multiplicity: 87
- Dimension: 60
- Dominant: No
\(\lambda=(112,103,98)\)
- Multiplicity: 200
- Dimension: 480
- Dominant: No
\(\lambda=(118,107,88)\)
- Multiplicity: 2
- Dimension: 3840
- Dominant: No
\(\lambda=(117,101,95)\)
- Multiplicity: 25
- Dimension: 1428
- Dominant: No
\(\lambda=(113,109,91)\)
- Multiplicity: 81
- Dimension: 1140
- Dominant: No
\(\lambda=(110,106,97)\)
- Multiplicity: 216
- Dimension: 375
- Dominant: No
\(\lambda=(116,110,87)\)
- Multiplicity: 10
- Dimension: 2604
- Dominant: No
\(\lambda=(115,104,94)\)
- Multiplicity: 105
- Dimension: 1518
- Dominant: No
\(\lambda=(107,103,103)\)
- Multiplicity: 27
- Dimension: 15
- Dominant: No
\(\lambda=(112,101,100)\)
- Multiplicity: 80
- Dimension: 168
- Dominant: No
\(\lambda=(117,99,97)\)
- Multiplicity: 13
- Dimension: 627
- Dominant: No
\(\lambda=(118,105,90)\)
- Multiplicity: 4
- Dimension: 3360
- Dominant: No
\(\lambda=(114,113,86)\)
- Multiplicity: 4
- Dimension: 840
- Dominant: No
\(\lambda=(113,107,93)\)
- Multiplicity: 149
- Dimension: 1155
- Dominant: No
\(\lambda=(110,104,99)\)
- Multiplicity: 209
- Dimension: 273
- Dominant: No
\(\lambda=(111,110,92)\)
- Multiplicity: 50
- Dimension: 399
- Dominant: No
\(\lambda=(116,108,89)\)
- Multiplicity: 25
- Dimension: 2610
- Dominant: No
\(\lambda=(115,102,96)\)
- Multiplicity: 96
- Dimension: 1029
- Dominant: No
\(\lambda=(108,107,98)\)
- Multiplicity: 104
- Dimension: 120
- Dominant: No
\(\lambda=(118,103,92)\)
- Multiplicity: 6
- Dimension: 2688
- Dominant: No
\(\lambda=(114,111,88)\)
- Multiplicity: 21
- Dimension: 1344
- Dominant: No
\(\lambda=(113,105,95)\)
- Multiplicity: 199
- Dimension: 990
- Dominant: No
\(\lambda=(105,104,104)\)
- Multiplicity: 4
- Dimension: 3
- Dominant: No
\(\lambda=(110,102,101)\)
- Multiplicity: 88
- Dimension: 99
- Dominant: No
\(\lambda=(111,108,94)\)
- Multiplicity: 142
- Dimension: 570
- Dominant: No
\(\lambda=(116,106,91)\)
- Multiplicity: 44
- Dimension: 2376
- Dominant: No
\(\lambda=(117,112,84)\)
- Multiplicity: 1
- Dimension: 3045
- Dominant: Yes
\(\lambda=(115,100,98)\)
- Multiplicity: 48
- Dimension: 456
- Dominant: No
\(\lambda=(108,105,100)\)
- Multiplicity: 139
- Dimension: 120
- Dominant: No
\(\lambda=(115,115,83)\)
- Multiplicity: 1
- Dimension: 561
- Dominant: Yes
\(\lambda=(118,101,94)\)
- Multiplicity: 6
- Dimension: 1872
- Dominant: No
\(\lambda=(114,109,90)\)
- Multiplicity: 57
- Dimension: 1560
- Dominant: No
\(\lambda=(113,103,97)\)
- Multiplicity: 189
- Dimension: 693
- Dominant: No
\(\lambda=(111,106,96)\)
- Multiplicity: 224
- Dimension: 561
- Dominant: No
\(\lambda=(116,104,93)\)
- Multiplicity: 58
- Dimension: 1950
- Dominant: No
\(\lambda=(117,110,86)\)
- Multiplicity: 3
- Dimension: 3300
- Dominant: No
\(\lambda=(112,112,89)\)
- Multiplicity: 9
- Dimension: 300
- Dominant: No
\(\lambda=(108,103,102)\)
- Multiplicity: 66
- Dimension: 48
- Dominant: No
\(\lambda=(109,109,95)\)
- Multiplicity: 55
- Dimension: 120
- Dominant: No
\(\lambda=(115,113,85)\)
- Multiplicity: 4
- Dimension: 1392
- Dominant: No
\(\lambda=(118,99,96)\)
- Multiplicity: 4
- Dimension: 960
- Dominant: No
\(\lambda=(114,107,92)\)
- Multiplicity: 107
- Dimension: 1536
- Dominant: No
\(\lambda=(113,101,99)\)
- Multiplicity: 102
- Dimension: 312
- Dominant: No
\(\lambda=(106,106,101)\)
- Multiplicity: 28
- Dimension: 21
- Dominant: No
\(\lambda=(111,104,98)\)
- Multiplicity: 227
- Dimension: 420
- Dominant: No
\(\lambda=(116,102,95)\)
- Multiplicity: 58
- Dimension: 1380
- Dominant: No
\(\lambda=(117,108,88)\)
- Multiplicity: 9
- Dimension: 3255
- Dominant: No
\(\lambda=(112,110,91)\)
- Multiplicity: 52
- Dimension: 690
- Dominant: No
\(\lambda=(109,107,97)\)
- Multiplicity: 160
- Dimension: 231
- Dominant: No
\(\lambda=(115,111,87)\)
- Multiplicity: 15
- Dimension: 1875
- Dominant: No
\(\lambda=(114,105,94)\)
- Multiplicity: 148
- Dimension: 1320
- Dominant: No
\(\lambda=(106,104,103)\)
- Multiplicity: 24
- Dimension: 15
- Dominant: No
\(\lambda=(111,102,100)\)
- Multiplicity: 125
- Dimension: 195
- Dominant: No
\(\lambda=(116,100,97)\)
- Multiplicity: 36
- Dimension: 714
- Dominant: No
\(\lambda=(117,106,90)\)
- Multiplicity: 17
- Dimension: 2958
- Dominant: No
\(\lambda=(112,108,93)\)
- Multiplicity: 131
- Dimension: 840
- Dominant: No
\(\lambda=(109,105,99)\)
- Multiplicity: 198
- Dimension: 210
- Dominant: No
\(\lambda=(115,109,89)\)
- Multiplicity: 38
- Dimension: 2058
- Dominant: No
\(\lambda=(114,103,96)\)
- Multiplicity: 151
- Dimension: 960
- Dominant: No
\(\lambda=(117,104,92)\)
- Multiplicity: 24
- Dimension: 2457
- Dominant: No
\(\lambda=(113,112,88)\)
- Multiplicity: 14
- Dimension: 675
- Dominant: No
\(\lambda=(112,106,95)\)
- Multiplicity: 207
- Dimension: 798
- Dominant: No
\(\lambda=(109,103,101)\)
- Multiplicity: 122
- Dimension: 105
- Dominant: No
\(\lambda=(110,109,94)\)
- Multiplicity: 82
- Dimension: 288
- Dominant: No
\(\lambda=(116,113,84)\)
- Multiplicity: 1
- Dimension: 2040
- Dominant: No
\(\lambda=(115,107,91)\)
- Multiplicity: 71
- Dimension: 1989
- Dominant: No
\(\lambda=(114,101,98)\)
- Multiplicity: 95
- Dimension: 504
- Dominant: No
\(\lambda=(107,106,100)\)
- Multiplicity: 78
- Dimension: 63
- Dominant: No
\(\lambda=(118,108,87)\)
- Multiplicity: 1
- Dimension: 3993
- Dominant: No
\(\lambda=(117,102,94)\)
- Multiplicity: 26
- Dimension: 1800
- Dominant: No
\(\lambda=(113,110,90)\)
- Multiplicity: 49
- Dimension: 1050
- Dominant: No
\(\lambda=(112,104,97)\)
- Multiplicity: 223
- Dimension: 612
- Dominant: No
\(\lambda=(110,107,96)\)
- Multiplicity: 185
- Dimension: 384
- Dominant: No
\(\lambda=(116,111,86)\)
- Multiplicity: 6
- Dimension: 2496
- Dominant: No
\(\lambda=(115,105,93)\)
- Multiplicity: 101
- Dimension: 1716
- Dominant: No
\(\lambda=(107,104,102)\)
- Multiplicity: 61
- Dimension: 42
- Dominant: No
\(\lambda=(112,102,99)\)
- Multiplicity: 149
- Dimension: 330
- Dominant: No
\(\lambda=(117,100,96)\)
- Multiplicity: 19
- Dimension: 1035
- Dominant: No
\(\lambda=(118,106,89)\)
- Multiplicity: 3
- Dimension: 3627
- Dominant: No
\(\lambda=(113,108,92)\)
- Multiplicity: 111
- Dimension: 1173
- Dominant: No
\(\lambda=(110,105,98)\)
- Multiplicity: 229
- Dimension: 336
- Dominant: No
\(\lambda=(111,111,91)\)
- Multiplicity: 22
- Dimension: 231
- Dominant: No
\(\lambda=(116,109,88)\)
- Multiplicity: 17
- Dimension: 2640
- Dominant: No
\(\lambda=(115,103,95)\)
- Multiplicity: 110
- Dimension: 1287
- Dominant: No
\(\lambda=(108,108,97)\)
- Multiplicity: 51
- Dimension: 78
- Dominant: No
\(\lambda=(117,98,98)\)
- Multiplicity: 3
- Dimension: 210
- Dominant: No
\(\lambda=(118,104,91)\)
- Multiplicity: 5
- Dimension: 3045
- Dominant: No
\(\lambda=(114,112,87)\)
- Multiplicity: 10
- Dimension: 1131
- Dominant: No
\(\lambda=(113,106,94)\)
- Multiplicity: 174
- Dimension: 1092
- Dominant: No
\(\lambda=(105,105,103)\)
- Multiplicity: 12
- Dimension: 6
- Dominant: No
\(\lambda=(110,103,100)\)
- Multiplicity: 164
- Dimension: 192
- Dominant: No
\(\lambda=(111,109,93)\)
- Multiplicity: 98
- Dimension: 510
- Dominant: No
\(\lambda=(116,107,90)\)
- Multiplicity: 35
- Dimension: 2520
- Dominant: No
\(\lambda=(115,101,97)\)
- Multiplicity: 80
- Dimension: 750
- Dominant: No
\(\lambda=(108,106,99)\)
- Multiplicity: 132
- Dimension: 132
- Dominant: No
\(\lambda=(118,102,93)\)
- Multiplicity: 6
- Dimension: 2295
- Dominant: No
\(\lambda=(114,110,89)\)
- Multiplicity: 34
- Dimension: 1485
- Dominant: No
\(\lambda=(113,104,96)\)
- Multiplicity: 197
- Dimension: 855
- Dominant: No
\(\lambda=(111,107,95)\)
- Multiplicity: 195
- Dimension: 585
- Dominant: No
\(\lambda=(116,105,92)\)
- Multiplicity: 53
- Dimension: 2184
- Dominant: No
\(\lambda=(117,111,85)\)
- Multiplicity: 2
- Dimension: 3213
- Dominant: No
\(\lambda=(115,99,99)\)
- Multiplicity: 20
- Dimension: 153
- Dominant: No
\(\lambda=(108,104,101)\)
- Multiplicity: 112
- Dimension: 90
- Dominant: No
\(\lambda=(115,114,84)\)
- Multiplicity: 1
- Dimension: 1023
- Dominant: No
\(\lambda=(118,100,95)\)
- Multiplicity: 5
- Dimension: 1425
- Dominant: No
\(\lambda=(114,108,91)\)
- Multiplicity: 80
- Dimension: 1575
- Dominant: No
\(\lambda=(113,102,98)\)
- Multiplicity: 147
- Dimension: 510
- Dominant: No
\(\lambda=(111,105,97)\)
- Multiplicity: 246
- Dimension: 504
- Dominant: No
\(\lambda=(116,103,94)\)
- Multiplicity: 61
- Dimension: 1680
- Dominant: No
\(\lambda=(117,109,87)\)
- Multiplicity: 6
- Dimension: 3312
- Dominant: No
\(\lambda=(112,111,90)\)
- Multiplicity: 28
- Dimension: 528
- Dominant: No
\(\lambda=(109,108,96)\)
- Multiplicity: 104
- Dimension: 195
- Dominant: No
\(\lambda=(115,112,86)\)
- Multiplicity: 8
- Dimension: 1674
- Dominant: No
\(\lambda=(118,98,97)\)
- Multiplicity: 2
- Dimension: 483
- Dominant: No
\(\lambda=(114,106,93)\)
- Multiplicity: 129
- Dimension: 1449
- Dominant: No
\(\lambda=(113,100,100)\)
- Multiplicity: 31
- Dimension: 105
- Dominant: No
\(\lambda=(106,105,102)\)
- Multiplicity: 38
- Dimension: 24
- Dominant: No
\(\lambda=(111,103,99)\)
- Multiplicity: 199
- Dimension: 315
- Dominant: No
\(\lambda=(116,101,96)\)
- Multiplicity: 50
- Dimension: 1056
- Dominant: No
\(\lambda=(117,107,89)\)
- Multiplicity: 13
- Dimension: 3135
- Dominant: No
\(\lambda=(112,109,92)\)
- Multiplicity: 92
- Dimension: 792
- Dominant: No
\(\lambda=(109,106,98)\)
- Multiplicity: 185
- Dimension: 234
- Dominant: No
\(\lambda=(115,110,88)\)
- Multiplicity: 23
- Dimension: 2001
- Dominant: No
\(\lambda=(114,104,95)\)
- Multiplicity: 154
- Dimension: 1155
- Dominant: No
\(\lambda=(111,101,101)\)
- Multiplicity: 49
- Dimension: 66
- Dominant: No
\(\lambda=(116,99,98)\)
- Multiplicity: 19
- Dimension: 360
- Dominant: No
\(\lambda=(117,105,91)\)
- Multiplicity: 22
- Dimension: 2730
- Dominant: No
\(\lambda=(113,113,87)\)
- Multiplicity: 6
- Dimension: 378
- Dominant: No
\(\lambda=(112,107,94)\)
- Multiplicity: 175
- Dimension: 840
- Dominant: No
\(\textbf{a}=(104,106,103)\)
- Multiplicity: 58310
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,118,89)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,94,117)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,99,103)\)
- Multiplicity: 20251
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,111,89)\)
- Multiplicity: 541
- Dimension: 1
- Error: 0
\(\textbf{a}=(92,113,108)\)
- Multiplicity: 2292
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,87,117)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,92,103)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,118,94)\)
- Multiplicity: 34
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,106,108)\)
- Multiplicity: 34688
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,111,94)\)
- Multiplicity: 7214
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,99,108)\)
- Multiplicity: 34688
- Dimension: 1
- Error: 0
\(\textbf{a}=(87,113,113)\)
- Multiplicity: 130
- Dimension: 1
- Error: 0
\(\textbf{a}=(96,118,99)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,104,94)\)
- Multiplicity: 1540
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,92,108)\)
- Multiplicity: 2292
- Dimension: 1
- Error: 0
\(\textbf{a}=(94,106,113)\)
- Multiplicity: 4357
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,111,99)\)
- Multiplicity: 20251
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,99,113)\)
- Multiplicity: 9292
- Dimension: 1
- Error: 0
\(\textbf{a}=(89,106,118)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(91,118,104)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,104,99)\)
- Multiplicity: 26120
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,116,85)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,92,113)\)
- Multiplicity: 2292
- Dimension: 1
- Error: 0
\(\textbf{a}=(96,99,118)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(98,111,104)\)
- Multiplicity: 18124
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,97,99)\)
- Multiplicity: 295
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,85,113)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,92,118)\)
- Multiplicity: 22
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,104,104)\)
- Multiplicity: 61583
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,116,90)\)
- Multiplicity: 204
- Dimension: 1
- Error: 0
\(\textbf{a}=(86,118,109)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,97,104)\)
- Multiplicity: 11603
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,109,90)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(93,111,109)\)
- Multiplicity: 5007
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,116,95)\)
- Multiplicity: 797
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,104,109)\)
- Multiplicity: 35077
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,109,95)\)
- Multiplicity: 11756
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,97,109)\)
- Multiplicity: 21363
- Dimension: 1
- Error: 0
\(\textbf{a}=(88,111,114)\)
- Multiplicity: 231
- Dimension: 1
- Error: 0
\(\textbf{a}=(97,116,100)\)
- Multiplicity: 985
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,102,95)\)
- Multiplicity: 797
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,90,109)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(95,104,114)\)
- Multiplicity: 3482
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,109,100)\)
- Multiplicity: 35077
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,97,114)\)
- Multiplicity: 4687
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,102,100)\)
- Multiplicity: 21615
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,114,86)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(92,116,105)\)
- Multiplicity: 413
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,90,114)\)
- Multiplicity: 696
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,95,100)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,109,105)\)
- Multiplicity: 31238
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,114,91)\)
- Multiplicity: 1079
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,102,105)\)
- Multiplicity: 55423
- Dimension: 1
- Error: 0
\(\textbf{a}=(87,116,110)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,95,105)\)
- Multiplicity: 5560
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,107,91)\)
- Multiplicity: 647
- Dimension: 1
- Error: 0
\(\textbf{a}=(94,109,110)\)
- Multiplicity: 7937
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,114,96)\)
- Multiplicity: 4132
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,102,110)\)
- Multiplicity: 29902
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,107,96)\)
- Multiplicity: 14992
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,95,110)\)
- Multiplicity: 11229
- Dimension: 1
- Error: 0
\(\textbf{a}=(89,109,115)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(98,114,101)\)
- Multiplicity: 5092
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,100,96)\)
- Multiplicity: 276
- Dimension: 1
- Error: 0
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\(\textbf{a}=(102,112,99)\)
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\(\textbf{a}=(97,112,104)\)
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\(\textbf{a}=(116,98,99)\)
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\(\textbf{a}=(114,86,113)\)
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\(\textbf{a}=(104,105,104)\)
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\(\textbf{a}=(106,117,90)\)
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\(\textbf{a}=(111,98,104)\)
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\(\textbf{a}=(113,110,90)\)
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\(\textbf{a}=(106,98,109)\)
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\(\textbf{a}=(113,91,109)\)
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\(\textbf{a}=(103,110,100)\)
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\(\textbf{a}=(101,98,114)\)
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\(\textbf{a}=(110,103,100)\)
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\(\textbf{a}=(112,115,86)\)
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\(\textbf{a}=(91,117,105)\)
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\(\textbf{a}=(108,91,114)\)
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\(\textbf{a}=(117,96,100)\)
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\(\textbf{a}=(98,110,105)\)
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\(\textbf{a}=(115,84,114)\)
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\(\textbf{a}=(107,115,91)\)
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\(\textbf{a}=(105,103,105)\)
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\(\textbf{a}=(112,96,105)\)
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\(\textbf{a}=(114,108,91)\)
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\(\textbf{a}=(100,103,110)\)
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\(\textbf{a}=(109,108,96)\)
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\(\textbf{a}=(107,96,110)\)
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- Error: 0
\(\textbf{a}=(88,110,115)\)
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- Error: 0
\(\textbf{a}=(97,115,101)\)
- Multiplicity: 2405
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\(\textbf{a}=(113,106,94)\)
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\(\textbf{a}=(111,94,108)\)
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\(\textbf{a}=(106,94,113)\)
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\(\textbf{a}=(117,111,85)\)
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\(\textbf{a}=(103,106,104)\)
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\(\textbf{a}=(105,118,90)\)
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\(\textbf{a}=(98,106,109)\)
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\(\textbf{a}=(107,111,95)\)
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\(\textbf{a}=(105,99,109)\)
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\(\textbf{a}=(112,92,109)\)
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\(\textbf{a}=(102,111,100)\)
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\(\textbf{a}=(100,99,114)\)
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\(\textbf{a}=(109,104,100)\)
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\(\textbf{a}=(111,116,86)\)
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\(\textbf{a}=(90,118,105)\)
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- Error: 0
\(\textbf{a}=(107,92,114)\)
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- Error: 0
\(\textbf{a}=(116,97,100)\)
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- Error: 0
\(\textbf{a}=(118,109,86)\)
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- Error: 0
\(\textbf{a}=(97,111,105)\)
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\(\textbf{a}=(106,116,91)\)
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\(\textbf{a}=(104,104,105)\)
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- Error: 0
\(\textbf{a}=(111,97,105)\)
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- Error: 0
\(\textbf{a}=(113,109,91)\)
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- Error: 0
\(\textbf{a}=(92,111,110)\)
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- Error: 0
\(\textbf{a}=(118,90,105)\)
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- Error: 0
\(\textbf{a}=(101,116,96)\)
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- Error: 0
\(\textbf{a}=(99,104,110)\)
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\(\textbf{a}=(108,109,96)\)
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\(\textbf{a}=(113,86,114)\)
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\(\textbf{a}=(91,112,110)\)
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\(\textbf{a}=(117,91,105)\)
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\(\textbf{a}=(98,105,110)\)
- Multiplicity: 22791
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,110,96)\)
- Multiplicity: 14992
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,98,110)\)
- Multiplicity: 22791
- Dimension: 1
- Error: 0
\(\textbf{a}=(86,112,115)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(95,117,101)\)
- Multiplicity: 248
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,103,96)\)
- Multiplicity: 4132
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,91,110)\)
- Multiplicity: 1841
- Dimension: 1
- Error: 0
\(\textbf{a}=(93,105,115)\)
- Multiplicity: 1216
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,110,101)\)
- Multiplicity: 29902
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,98,115)\)
- Multiplicity: 2554
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,103,101)\)
- Multiplicity: 37617
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,115,87)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(90,117,106)\)
- Multiplicity: 69
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,91,115)\)
- Multiplicity: 647
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,96,101)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,108,87)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(97,110,106)\)
- Multiplicity: 18957
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,84,115)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,115,92)\)
- Multiplicity: 910
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,103,106)\)
- Multiplicity: 58310
- Dimension: 1
- Error: 0
\(\textbf{a}=(85,117,111)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,108,92)\)
- Multiplicity: 2292
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,96,106)\)
- Multiplicity: 12654
- Dimension: 1
- Error: 0
\(\textbf{a}=(92,110,111)\)
- Multiplicity: 3247
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,115,97)\)
- Multiplicity: 2405
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,89,106)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,103,111)\)
- Multiplicity: 20251
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,108,97)\)
- Multiplicity: 22201
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,96,111)\)
- Multiplicity: 12654
- Dimension: 1
- Error: 0
\(\textbf{a}=(87,110,116)\)
- Multiplicity: 41
- Dimension: 1
- Error: 0
\(\textbf{a}=(96,115,102)\)
- Multiplicity: 2165
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,101,97)\)
- Multiplicity: 2405
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,89,111)\)
- Multiplicity: 541
- Dimension: 1
- Error: 0
\(\textbf{a}=(94,103,116)\)
- Multiplicity: 671
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,108,102)\)
- Multiplicity: 46271
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,96,116)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,101,102)\)
- Multiplicity: 29902
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,113,88)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(91,115,107)\)
- Multiplicity: 647
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,89,116)\)
- Multiplicity: 130
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,94,102)\)
- Multiplicity: 212
- Dimension: 1
- Error: 0
\(\textbf{a}=(98,108,107)\)
- Multiplicity: 28515
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,113,93)\)
- Multiplicity: 3253
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,101,107)\)
- Multiplicity: 48511
- Dimension: 1
- Error: 0
\(\textbf{a}=(86,115,112)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,106,93)\)
- Multiplicity: 2154
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,94,107)\)
- Multiplicity: 5928
- Dimension: 1
- Error: 0
\(\textbf{a}=(93,108,112)\)
- Multiplicity: 4272
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,113,98)\)
- Multiplicity: 8719
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,101,112)\)
- Multiplicity: 15026
- Dimension: 1
- Error: 0
\(\textbf{a}=(88,108,117)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,106,98)\)
- Multiplicity: 26481
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,94,112)\)
- Multiplicity: 5928
- Dimension: 1
- Error: 0
\(\textbf{a}=(95,101,117)\)
- Multiplicity: 248
- Dimension: 1
- Error: 0
\(\textbf{a}=(97,113,103)\)
- Multiplicity: 7852
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,99,98)\)
- Multiplicity: 1026
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,87,112)\)
- Multiplicity: 115
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{37,\lambda}(2,1;8)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{37,2}(2,1;8)\). 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 \(\beta_{37,\textbf{a}}(2,1;8)\). 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!