Current Betti Table Entry:
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0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(1,0,0) |
(6,1,0) |
(11,1,1) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
(14,5,0) |
(19,5,1) |
(23,6,2) |
(27,6,4) |
(30,9,4) |
(33,11,5) |
(36,12,7) |
(39,12,10) |
(41,16,10) |
(43,19,11) |
(45,21,13) |
(47,22,16) |
(49,22,20) |
(50,27,20) |
(51,31,21) |
(52,34,23) |
(53,36,26) |
(54,37,30) |
(55,37,35) |
(55,42,36) |
(55,46,38) |
· |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(51,51,31) |
(53,51,35) |
(54,52,39) |
(55,52,44) |
(55,54,48) |
(55,55,53) |
\(\lambda=(26,22,13)\)
- Multiplicity: 1535
- Dimension: 375
- Dominant: No
\(\lambda=(36,18,7)\)
- Multiplicity: 10
- Dimension: 3534
- Dominant: No
\(\lambda=(31,20,10)\)
- Multiplicity: 547
- Dimension: 1518
- Dominant: No
\(\lambda=(23,19,19)\)
- Multiplicity: 249
- Dimension: 15
- Dominant: No
\(\lambda=(28,17,16)\)
- Multiplicity: 757
- Dimension: 168
- Dominant: No
\(\lambda=(34,21,6)\)
- Multiplicity: 17
- Dimension: 3360
- Dominant: No
\(\lambda=(38,13,10)\)
- Multiplicity: 3
- Dimension: 1560
- Dominant: No
\(\lambda=(33,15,13)\)
- Multiplicity: 190
- Dimension: 627
- Dominant: No
\(\lambda=(29,23,9)\)
- Multiplicity: 445
- Dimension: 1155
- Dominant: No
\(\lambda=(26,20,15)\)
- Multiplicity: 1861
- Dimension: 273
- Dominant: No
\(\lambda=(27,26,8)\)
- Multiplicity: 104
- Dimension: 399
- Dominant: No
\(\lambda=(36,16,9)\)
- Multiplicity: 27
- Dimension: 2436
- Dominant: No
\(\lambda=(32,24,5)\)
- Multiplicity: 11
- Dimension: 2610
- Dominant: No
\(\lambda=(31,18,12)\)
- Multiplicity: 762
- Dimension: 1029
- Dominant: No
\(\lambda=(24,23,14)\)
- Multiplicity: 818
- Dimension: 120
- Dominant: No
\(\lambda=(34,19,8)\)
- Multiplicity: 74
- Dimension: 2688
- Dominant: No
\(\lambda=(30,27,4)\)
- Multiplicity: 2
- Dimension: 1344
- Dominant: No
\(\lambda=(29,21,11)\)
- Multiplicity: 1047
- Dimension: 990
- Dominant: No
\(\lambda=(21,20,20)\)
- Multiplicity: 67
- Dimension: 3
- Dominant: No
\(\lambda=(26,18,17)\)
- Multiplicity: 866
- Dimension: 99
- Dominant: No
\(\lambda=(27,24,10)\)
- Multiplicity: 557
- Dimension: 570
- Dominant: No
\(\lambda=(36,14,11)\)
- Multiplicity: 27
- Dimension: 1242
- Dominant: No
\(\lambda=(32,22,7)\)
- Multiplicity: 88
- Dimension: 2376
- Dominant: No
\(\lambda=(31,16,14)\)
- Multiplicity: 497
- Dimension: 456
- Dominant: No
\(\lambda=(24,21,16)\)
- Multiplicity: 1329
- Dimension: 120
- Dominant: No
\(\lambda=(34,17,10)\)
- Multiplicity: 144
- Dimension: 1872
- Dominant: No
\(\lambda=(30,25,6)\)
- Multiplicity: 42
- Dimension: 1560
- Dominant: No
\(\lambda=(29,19,13)\)
- Multiplicity: 1405
- Dimension: 693
- Dominant: No
\(\lambda=(27,22,12)\)
- Multiplicity: 1379
- Dimension: 561
- Dominant: No
\(\lambda=(28,28,5)\)
- Multiplicity: 3
- Dimension: 300
- Dominant: No
\(\lambda=(37,18,6)\)
- Multiplicity: 1
- Dimension: 4290
- Dominant: Yes
\(\lambda=(32,20,9)\)
- Multiplicity: 282
- Dimension: 1950
- Dominant: No
\(\lambda=(24,19,18)\)
- Multiplicity: 674
- Dimension: 48
- Dominant: No
\(\lambda=(25,25,11)\)
- Multiplicity: 225
- Dimension: 120
- Dominant: No
\(\lambda=(29,17,15)\)
- Multiplicity: 890
- Dimension: 312
- Dominant: No
\(\lambda=(34,15,12)\)
- Multiplicity: 130
- Dimension: 960
- Dominant: No
\(\lambda=(35,21,5)\)
- Multiplicity: 2
- Dimension: 4080
- Dominant: No
\(\lambda=(30,23,8)\)
- Multiplicity: 242
- Dimension: 1536
- Dominant: No
\(\lambda=(22,22,17)\)
- Multiplicity: 324
- Dimension: 21
- Dominant: No
\(\lambda=(27,20,14)\)
- Multiplicity: 1886
- Dimension: 420
- Dominant: No
\(\lambda=(28,26,7)\)
- Multiplicity: 71
- Dimension: 690
- Dominant: No
\(\lambda=(33,24,4)\)
- Multiplicity: 1
- Dimension: 3255
- Dominant: No
\(\lambda=(37,16,8)\)
- Multiplicity: 7
- Dimension: 3069
- Dominant: No
\(\lambda=(32,18,11)\)
- Multiplicity: 474
- Dimension: 1380
- Dominant: No
\(\lambda=(25,23,13)\)
- Multiplicity: 1046
- Dimension: 231
- Dominant: No
\(\lambda=(35,19,7)\)
- Multiplicity: 21
- Dimension: 3315
- Dominant: No
\(\lambda=(30,21,10)\)
- Multiplicity: 673
- Dimension: 1320
- Dominant: No
\(\lambda=(22,20,19)\)
- Multiplicity: 287
- Dimension: 15
- Dominant: No
\(\lambda=(27,18,16)\)
- Multiplicity: 1213
- Dimension: 195
- Dominant: No
\(\lambda=(28,24,9)\)
- Multiplicity: 397
- Dimension: 840
- Dominant: No
\(\lambda=(33,22,6)\)
- Multiplicity: 26
- Dimension: 2958
- Dominant: No
\(\lambda=(37,14,10)\)
- Multiplicity: 11
- Dimension: 1740
- Dominant: No
\(\lambda=(32,16,13)\)
- Multiplicity: 401
- Dimension: 714
- Dominant: No
\(\lambda=(25,21,15)\)
- Multiplicity: 1678
- Dimension: 210
- Dominant: No
\(\lambda=(35,17,9)\)
- Multiplicity: 57
- Dimension: 2394
- Dominant: No
\(\lambda=(31,25,5)\)
- Multiplicity: 11
- Dimension: 2058
- Dominant: No
\(\lambda=(30,19,12)\)
- Multiplicity: 1057
- Dimension: 960
- Dominant: No
\(\lambda=(28,22,11)\)
- Multiplicity: 1082
- Dimension: 798
- Dominant: No
\(\lambda=(33,20,8)\)
- Multiplicity: 121
- Dimension: 2457
- Dominant: No
\(\lambda=(37,12,12)\)
- Multiplicity: 4
- Dimension: 351
- Dominant: No
\(\lambda=(29,28,4)\)
- Multiplicity: 1
- Dimension: 675
- Dominant: No
\(\lambda=(25,19,17)\)
- Multiplicity: 1135
- Dimension: 105
- Dominant: No
\(\lambda=(26,25,10)\)
- Multiplicity: 307
- Dimension: 288
- Dominant: No
\(\lambda=(35,15,11)\)
- Multiplicity: 68
- Dimension: 1365
- Dominant: No
\(\lambda=(31,23,7)\)
- Multiplicity: 105
- Dimension: 1989
- Dominant: No
\(\lambda=(30,17,14)\)
- Multiplicity: 859
- Dimension: 504
- Dominant: No
\(\lambda=(23,22,16)\)
- Multiplicity: 759
- Dimension: 63
- Dominant: No
\(\lambda=(28,20,13)\)
- Multiplicity: 1675
- Dimension: 612
- Dominant: No
\(\lambda=(33,18,10)\)
- Multiplicity: 255
- Dimension: 1800
- Dominant: No
\(\lambda=(38,16,7)\)
- Multiplicity: 1
- Dimension: 3795
- Dominant: Yes
\(\lambda=(29,26,6)\)
- Multiplicity: 34
- Dimension: 1050
- Dominant: No
\(\lambda=(26,23,12)\)
- Multiplicity: 1088
- Dimension: 384
- Dominant: No
\(\lambda=(35,13,13)\)
- Multiplicity: 17
- Dimension: 276
- Dominant: No
\(\lambda=(36,19,6)\)
- Multiplicity: 4
- Dimension: 4032
- Dominant: No
\(\lambda=(31,21,9)\)
- Multiplicity: 367
- Dimension: 1716
- Dominant: No
\(\lambda=(23,20,18)\)
- Multiplicity: 682
- Dimension: 42
- Dominant: No
\(\lambda=(28,18,15)\)
- Multiplicity: 1351
- Dimension: 330
- Dominant: No
\(\lambda=(34,22,5)\)
- Multiplicity: 5
- Dimension: 3627
- Dominant: No
\(\lambda=(38,14,9)\)
- Multiplicity: 3
- Dimension: 2325
- Dominant: No
\(\lambda=(33,16,12)\)
- Multiplicity: 273
- Dimension: 1035
- Dominant: No
\(\lambda=(29,24,8)\)
- Multiplicity: 233
- Dimension: 1173
- Dominant: No
\(\lambda=(26,21,14)\)
- Multiplicity: 1831
- Dimension: 336
- Dominant: No
\(\lambda=(27,27,7)\)
- Multiplicity: 24
- Dimension: 231
- Dominant: No
\(\lambda=(36,17,8)\)
- Multiplicity: 18
- Dimension: 3000
- Dominant: No
\(\lambda=(32,25,4)\)
- Multiplicity: 2
- Dimension: 2640
- Dominant: No
\(\lambda=(31,19,11)\)
- Multiplicity: 688
- Dimension: 1287
- Dominant: No
\(\lambda=(24,24,13)\)
- Multiplicity: 383
- Dimension: 78
- Dominant: No
\(\lambda=(34,20,7)\)
- Multiplicity: 40
- Dimension: 3045
- Dominant: No
\(\lambda=(38,12,11)\)
- Multiplicity: 1
- Dimension: 783
- Dominant: No
\(\lambda=(33,14,14)\)
- Multiplicity: 75
- Dimension: 210
- Dominant: No
\(\lambda=(29,22,10)\)
- Multiplicity: 740
- Dimension: 1092
- Dominant: No
\(\lambda=(21,21,19)\)
- Multiplicity: 115
- Dimension: 6
- Dominant: No
\(\lambda=(26,19,16)\)
- Multiplicity: 1529
- Dimension: 192
- Dominant: No
\(\lambda=(27,25,9)\)
- Multiplicity: 268
- Dimension: 510
- Dominant: No
\(\lambda=(36,15,10)\)
- Multiplicity: 30
- Dimension: 1848
- Dominant: No
\(\lambda=(32,23,6)\)
- Multiplicity: 36
- Dimension: 2520
- Dominant: No
\(\lambda=(31,17,13)\)
- Multiplicity: 688
- Dimension: 750
- Dominant: No
\(\lambda=(24,22,15)\)
- Multiplicity: 1191
- Dimension: 132
- Dominant: No
\(\lambda=(34,18,9)\)
- Multiplicity: 114
- Dimension: 2295
- Dominant: No
\(\lambda=(30,26,5)\)
- Multiplicity: 12
- Dimension: 1485
- Dominant: No
\(\lambda=(29,20,12)\)
- Multiplicity: 1315
- Dimension: 855
- Dominant: No
\(\lambda=(27,23,11)\)
- Multiplicity: 941
- Dimension: 585
- Dominant: No
\(\lambda=(36,13,12)\)
- Multiplicity: 16
- Dimension: 624
- Dominant: No
\(\lambda=(32,21,8)\)
- Multiplicity: 171
- Dimension: 2184
- Dominant: No
\(\lambda=(31,15,15)\)
- Multiplicity: 171
- Dimension: 153
- Dominant: No
\(\lambda=(24,20,17)\)
- Multiplicity: 1161
- Dimension: 90
- Dominant: No
\(\lambda=(29,18,14)\)
- Multiplicity: 1287
- Dimension: 510
- Dominant: No
\(\lambda=(34,16,11)\)
- Multiplicity: 153
- Dimension: 1425
- Dominant: No
\(\lambda=(30,24,7)\)
- Multiplicity: 113
- Dimension: 1575
- Dominant: No
\(\lambda=(27,21,13)\)
- Multiplicity: 1723
- Dimension: 504
- Dominant: No
\(\lambda=(28,27,6)\)
- Multiplicity: 19
- Dimension: 528
- Dominant: No
\(\lambda=(37,17,7)\)
- Multiplicity: 3
- Dimension: 3696
- Dominant: No
\(\lambda=(32,19,10)\)
- Multiplicity: 394
- Dimension: 1680
- Dominant: No
\(\lambda=(25,24,12)\)
- Multiplicity: 603
- Dimension: 195
- Dominant: No
\(\lambda=(29,16,16)\)
- Multiplicity: 333
- Dimension: 105
- Dominant: No
\(\lambda=(34,14,13)\)
- Multiplicity: 76
- Dimension: 483
- Dominant: No
\(\lambda=(39,12,10)\)
- Multiplicity: 1
- Dimension: 1302
- Dominant: Yes
\(\lambda=(35,20,6)\)
- Multiplicity: 9
- Dimension: 3720
- Dominant: No
\(\lambda=(30,22,9)\)
- Multiplicity: 437
- Dimension: 1449
- Dominant: No
\(\lambda=(22,21,18)\)
- Multiplicity: 419
- Dimension: 24
- Dominant: No
\(\lambda=(27,19,15)\)
- Multiplicity: 1703
- Dimension: 315
- Dominant: No
\(\lambda=(28,25,8)\)
- Multiplicity: 185
- Dimension: 792
- Dominant: No
\(\lambda=(33,23,5)\)
- Multiplicity: 8
- Dimension: 3135
- Dominant: No
\(\lambda=(37,15,9)\)
- Multiplicity: 9
- Dimension: 2415
- Dominant: No
\(\lambda=(32,17,12)\)
- Multiplicity: 482
- Dimension: 1056
- Dominant: No
\(\lambda=(25,22,14)\)
- Multiplicity: 1469
- Dimension: 234
- Dominant: No
\(\lambda=(35,18,8)\)
- Multiplicity: 40
- Dimension: 2871
- Dominant: No
\(\lambda=(31,26,4)\)
- Multiplicity: 2
- Dimension: 2001
- Dominant: No
\(\lambda=(30,20,11)\)
- Multiplicity: 907
- Dimension: 1155
- Dominant: No
\(\lambda=(27,17,17)\)
- Multiplicity: 424
- Dimension: 66
- Dominant: No
\(\lambda=(28,23,10)\)
- Multiplicity: 704
- Dimension: 840
- Dominant: No
\(\lambda=(33,21,7)\)
- Multiplicity: 62
- Dimension: 2730
- Dominant: No
\(\lambda=(37,13,11)\)
- Multiplicity: 7
- Dimension: 1050
- Dominant: No
\(\lambda=(32,15,14)\)
- Multiplicity: 226
- Dimension: 360
- Dominant: No
\(\lambda=(25,20,16)\)
- Multiplicity: 1600
- Dimension: 165
- Dominant: No
\(\lambda=(26,26,9)\)
- Multiplicity: 100
- Dimension: 171
- Dominant: No
\(\lambda=(35,16,10)\)
- Multiplicity: 73
- Dimension: 1890
- Dominant: No
\(\lambda=(31,24,6)\)
- Multiplicity: 42
- Dimension: 2052
- Dominant: No
\(\lambda=(30,18,13)\)
- Multiplicity: 1058
- Dimension: 741
- Dominant: No
\(\lambda=(23,23,15)\)
- Multiplicity: 419
- Dimension: 45
- Dominant: No
\(\lambda=(28,21,12)\)
- Multiplicity: 1440
- Dimension: 720
- Dominant: No
\(\lambda=(33,19,9)\)
- Multiplicity: 187
- Dimension: 2145
- Dominant: No
\(\lambda=(29,27,5)\)
- Multiplicity: 8
- Dimension: 897
- Dominant: No
\(\lambda=(25,18,18)\)
- Multiplicity: 426
- Dimension: 36
- Dominant: No
\(\lambda=(26,24,11)\)
- Multiplicity: 653
- Dimension: 357
- Dominant: No
\(\lambda=(35,14,12)\)
- Multiplicity: 54
- Dimension: 825
- Dominant: No
\(\lambda=(36,20,5)\)
- Multiplicity: 1
- Dimension: 4488
- Dominant: Yes
\(\lambda=(31,22,8)\)
- Multiplicity: 216
- Dimension: 1875
- Dominant: No
\(\lambda=(30,16,15)\)
- Multiplicity: 484
- Dimension: 255
- Dominant: No
\(\lambda=(23,21,17)\)
- Multiplicity: 851
- Dimension: 60
- Dominant: No
\(\lambda=(28,19,14)\)
- Multiplicity: 1661
- Dimension: 480
- Dominant: No
\(\lambda=(33,17,11)\)
- Multiplicity: 283
- Dimension: 1428
- Dominant: No
\(\lambda=(34,23,4)\)
- Multiplicity: 1
- Dimension: 3840
- Dominant: Yes
\(\lambda=(38,15,8)\)
- Multiplicity: 2
- Dimension: 3072
- Dominant: No
\(\lambda=(29,25,7)\)
- Multiplicity: 99
- Dimension: 1140
- Dominant: No
\(\textbf{a}=(12,34,15)\)
- Multiplicity: 1784
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,10)\)
- Multiplicity: 5730
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,24)\)
- Multiplicity: 2834
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,29)\)
- Multiplicity: 11386
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,15)\)
- Multiplicity: 105956
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,13,10)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,29)\)
- Multiplicity: 52843
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,34)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,15)\)
- Multiplicity: 134255
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,20)\)
- Multiplicity: 133
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,29)\)
- Multiplicity: 2834
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,34)\)
- Multiplicity: 1784
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,15)\)
- Multiplicity: 4465
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,20)\)
- Multiplicity: 87244
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,34)\)
- Multiplicity: 314
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,6)\)
- Multiplicity: 143
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,20)\)
- Multiplicity: 375433
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,6)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,39,11)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,20)\)
- Multiplicity: 51908
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,25)\)
- Multiplicity: 8264
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,18,6)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,11)\)
- Multiplicity: 5379
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,20)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,25)\)
- Multiplicity: 190570
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,11)\)
- Multiplicity: 33347
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,25)\)
- Multiplicity: 86789
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,30)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,16)\)
- Multiplicity: 8844
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,11)\)
- Multiplicity: 5379
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,25)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,30)\)
- Multiplicity: 13521
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,16)\)
- Multiplicity: 190570
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,11,11)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,30)\)
- Multiplicity: 25456
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,35)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,16)\)
- Multiplicity: 118951
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,21)\)
- Multiplicity: 1037
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,30)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,35)\)
- Multiplicity: 766
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,16)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,37,7)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,21)\)
- Multiplicity: 158608
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,35)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,7)\)
- Multiplicity: 890
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,21)\)
- Multiplicity: 328112
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,37,12)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,7)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,21)\)
- Multiplicity: 18822
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,26)\)
- Multiplicity: 17689
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,12)\)
- Multiplicity: 19489
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,16,7)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,26)\)
- Multiplicity: 168009
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,37,17)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,12)\)
- Multiplicity: 52720
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,26)\)
- Multiplicity: 32208
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,31)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,17)\)
- Multiplicity: 30323
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,12)\)
- Multiplicity: 3822
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,26)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,31)\)
- Multiplicity: 12463
- Dimension: 1
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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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- Multiplicity: 318032
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- Error: 0
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- Error: 0
\(\textbf{a}=(26,16,19)\)
- Multiplicity: 155973
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(35,21,5)\)
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- Error: 0
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- Error: 0
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- Multiplicity: 130668
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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
\(\textbf{a}=(27,14,20)\)
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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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\(\textbf{a}=(38,12,11)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(26,19,16)\)
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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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- Multiplicity: 212464
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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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- Dimension: 1
- Error: 0
\(\textbf{a}=(24,18,19)\)
- Multiplicity: 269193
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,32,24)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,13,38)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,5)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,37,10)\)
- Multiplicity: 47
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,11,19)\)
- Multiplicity: 8920
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,25,24)\)
- Multiplicity: 56469
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,30,10)\)
- Multiplicity: 8424
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,18,24)\)
- Multiplicity: 269193
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,37,15)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,10)\)
- Multiplicity: 14215
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,11,24)\)
- Multiplicity: 32208
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,25,29)\)
- Multiplicity: 1103
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,15)\)
- Multiplicity: 33065
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,16,10)\)
- Multiplicity: 434
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,4,24)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,18,29)\)
- Multiplicity: 46677
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,15)\)
- Multiplicity: 181056
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,11,29)\)
- Multiplicity: 18822
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,34)\)
- Multiplicity: 606
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,15)\)
- Multiplicity: 33065
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,30,20)\)
- Multiplicity: 13521
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,29)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,34)\)
- Multiplicity: 1418
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,9,15)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,6)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,20)\)
- Multiplicity: 307251
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,4,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,6)\)
- Multiplicity: 375
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,20)\)
- Multiplicity: 190570
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,25)\)
- Multiplicity: 283
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,11,39)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,6)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,35,11)\)
- Multiplicity: 596
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,20)\)
- Multiplicity: 2068
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,25)\)
- Multiplicity: 86789
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,28,11)\)
- Multiplicity: 24245
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,25)\)
- Multiplicity: 190570
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,35,16)\)
- Multiplicity: 434
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,21,11)\)
- Multiplicity: 18822
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,25)\)
- Multiplicity: 8264
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,30)\)
- Multiplicity: 2221
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,16)\)
- Multiplicity: 84215
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,14,11)\)
- Multiplicity: 213
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,30)\)
- Multiplicity: 33065
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,16)\)
- Multiplicity: 217505
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,21)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,30)\)
- Multiplicity: 4643
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,35)\)
- Multiplicity: 434
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,16)\)
- Multiplicity: 18049
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,21)\)
- Multiplicity: 37214
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,35)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,7,16)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,7)\)
- Multiplicity: 255
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,21)\)
- Multiplicity: 362992
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,7)\)
- Multiplicity: 1255
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,21)\)
- Multiplicity: 106899
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,26)\)
- Multiplicity: 1255
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,33,12)\)
- Multiplicity: 3822
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,7)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,21)\)
- Multiplicity: 255
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,26)\)
- Multiplicity: 106899
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,26,12)\)
- Multiplicity: 52720
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,26)\)
- Multiplicity: 106899
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,17)\)
- Multiplicity: 2922
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,19,12)\)
- Multiplicity: 19489
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,26)\)
- Multiplicity: 1255
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,31)\)
- Multiplicity: 3241
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,17)\)
- Multiplicity: 168009
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,12,12)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,31)\)
- Multiplicity: 18049
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,17)\)
- Multiplicity: 212464
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,22)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,31)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,36)\)
- Multiplicity: 213
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,17)\)
- Multiplicity: 7266
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,38,8)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,22)\)
- Multiplicity: 78424
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,36)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,8)\)
- Multiplicity: 1591
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,22)\)
- Multiplicity: 351267
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,38,13)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,8)\)
- Multiplicity: 2834
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,22)\)
- Multiplicity: 45906
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,27)\)
- Multiplicity: 3601
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,31,13)\)
- Multiplicity: 15716
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,17,8)\)
- Multiplicity: 52
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,22)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,27)\)
- Multiplicity: 105956
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,13)\)
- Multiplicity: 89782
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,27)\)
- Multiplicity: 45906
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,32)\)
- Multiplicity: 3557
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,13)\)
- Multiplicity: 15716
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,18)\)
- Multiplicity: 12463
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,27)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,32)\)
- Multiplicity: 7266
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,18)\)
- Multiplicity: 269193
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,10,13)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,18)\)
- Multiplicity: 168009
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,4)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,23)\)
- Multiplicity: 652
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,32)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,37)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,18)\)
- Multiplicity: 1994
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,36,9)\)
- Multiplicity: 101
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,23)\)
- Multiplicity: 130668
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,9)\)
- Multiplicity: 6093
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,23)\)
- Multiplicity: 276775
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,14)\)
- Multiplicity: 213
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,9)\)
- Multiplicity: 4643
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,23)\)
- Multiplicity: 14215
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,28)\)
- Multiplicity: 7381
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,14)\)
- Multiplicity: 46677
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,15,9)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,28)\)
- Multiplicity: 84215
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,14)\)
- Multiplicity: 122241
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,19)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,28)\)
- Multiplicity: 14215
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,33)\)
- Multiplicity: 2922
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,14)\)
- Multiplicity: 9745
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,19)\)
- Multiplicity: 37809
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,33)\)
- Multiplicity: 1994
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,5)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,19)\)
- Multiplicity: 351267
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,5)\)
- Multiplicity: 75
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,19)\)
- Multiplicity: 105956
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,24)\)
- Multiplicity: 2834
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,38)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,5)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,10)\)
- Multiplicity: 995
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,19)\)
- Multiplicity: 314
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,24)\)
- Multiplicity: 175203
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,10)\)
- Multiplicity: 16452
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,24)\)
- Multiplicity: 175203
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{9,\lambda}(2,1;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{9,1}(2,1;6)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{9,\textbf{a}}(2,1;6)\). 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!