Current Betti Table Entry:
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0 |
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3 |
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5 |
6 |
7 |
8 |
9 |
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11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(2,0,0) |
(7,1,0) |
(12,1,1) |
(16,3,1) |
(20,4,2) |
(24,4,4) |
· |
· |
· |
· |
· |
· |
· |
· |
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· |
| 1 |
· |
· |
· |
(17,9,0) |
(22,9,1) |
(26,10,2) |
(30,10,4) |
(33,12,5) |
(36,13,7) |
(39,13,10) |
(41,17,10) |
(43,20,11) |
(45,22,13) |
(47,23,16) |
(49,23,20) |
(50,28,20) |
(51,32,21) |
(52,35,23) |
(53,37,26) |
(54,38,30) |
(55,38,35) |
(55,43,36) |
(55,47,38) |
(55,50,41) |
· |
· |
| 2 |
· |
· |
· |
· |
· |
· |
· |
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· |
(54,54,44) |
(55,54,49) |
(55,55,54) |
\(\lambda=(26,22,14)\)
- Multiplicity: 1348
- Dimension: 315
- Dominant: No
\(\lambda=(36,18,8)\)
- Multiplicity: 17
- Dimension: 3135
- Dominant: No
\(\lambda=(32,26,4)\)
- Multiplicity: 2
- Dimension: 2415
- Dominant: No
\(\lambda=(31,20,11)\)
- Multiplicity: 589
- Dimension: 1320
- Dominant: No
\(\lambda=(28,17,17)\)
- Multiplicity: 317
- Dimension: 78
- Dominant: No
\(\lambda=(29,23,10)\)
- Multiplicity: 550
- Dimension: 1029
- Dominant: No
\(\lambda=(34,21,7)\)
- Multiplicity: 35
- Dimension: 3045
- Dominant: No
\(\lambda=(38,13,11)\)
- Multiplicity: 2
- Dimension: 1131
- Dominant: No
\(\lambda=(33,15,14)\)
- Multiplicity: 121
- Dimension: 399
- Dominant: No
\(\lambda=(26,20,16)\)
- Multiplicity: 1364
- Dimension: 210
- Dominant: No
\(\lambda=(27,26,9)\)
- Multiplicity: 145
- Dimension: 360
- Dominant: No
\(\lambda=(36,16,10)\)
- Multiplicity: 30
- Dimension: 2058
- Dominant: No
\(\lambda=(32,24,6)\)
- Multiplicity: 31
- Dimension: 2394
- Dominant: No
\(\lambda=(31,18,13)\)
- Multiplicity: 665
- Dimension: 840
- Dominant: No
\(\lambda=(24,23,15)\)
- Multiplicity: 673
- Dimension: 99
- Dominant: No
\(\lambda=(29,21,12)\)
- Multiplicity: 1058
- Dimension: 855
- Dominant: No
\(\lambda=(34,19,9)\)
- Multiplicity: 100
- Dimension: 2376
- Dominant: No
\(\lambda=(30,27,5)\)
- Multiplicity: 8
- Dimension: 1242
- Dominant: No
\(\lambda=(26,18,18)\)
- Multiplicity: 351
- Dimension: 45
- Dominant: No
\(\lambda=(27,24,11)\)
- Multiplicity: 625
- Dimension: 504
- Dominant: No
\(\lambda=(36,14,12)\)
- Multiplicity: 22
- Dimension: 897
- Dominant: No
\(\lambda=(32,22,8)\)
- Multiplicity: 143
- Dimension: 2145
- Dominant: No
\(\lambda=(31,16,15)\)
- Multiplicity: 300
- Dimension: 288
- Dominant: No
\(\lambda=(24,21,17)\)
- Multiplicity: 912
- Dimension: 90
- Dominant: No
\(\lambda=(29,19,14)\)
- Multiplicity: 1175
- Dimension: 561
- Dominant: No
\(\lambda=(34,17,11)\)
- Multiplicity: 147
- Dimension: 1575
- Dominant: No
\(\lambda=(30,25,7)\)
- Multiplicity: 83
- Dimension: 1425
- Dominant: No
\(\lambda=(27,22,13)\)
- Multiplicity: 1297
- Dimension: 480
- Dominant: No
\(\lambda=(28,28,6)\)
- Multiplicity: 9
- Dimension: 276
- Dominant: No
\(\lambda=(37,18,7)\)
- Multiplicity: 3
- Dimension: 3840
- Dominant: No
\(\lambda=(32,20,10)\)
- Multiplicity: 339
- Dimension: 1716
- Dominant: No
\(\lambda=(24,19,19)\)
- Multiplicity: 249
- Dimension: 21
- Dominant: No
\(\lambda=(25,25,12)\)
- Multiplicity: 232
- Dimension: 105
- Dominant: No
\(\lambda=(29,17,16)\)
- Multiplicity: 528
- Dimension: 195
- Dominant: No
\(\lambda=(34,15,13)\)
- Multiplicity: 97
- Dimension: 690
- Dominant: No
\(\lambda=(35,21,6)\)
- Multiplicity: 8
- Dimension: 3720
- Dominant: No
\(\lambda=(39,13,10)\)
- Multiplicity: 1
- Dimension: 1674
- Dominant: Yes
\(\lambda=(30,23,9)\)
- Multiplicity: 336
- Dimension: 1380
- Dominant: No
\(\lambda=(22,22,18)\)
- Multiplicity: 205
- Dimension: 15
- Dominant: No
\(\lambda=(27,20,15)\)
- Multiplicity: 1488
- Dimension: 336
- Dominant: No
\(\lambda=(28,26,8)\)
- Multiplicity: 117
- Dimension: 627
- Dominant: No
\(\lambda=(33,24,5)\)
- Multiplicity: 7
- Dimension: 3000
- Dominant: No
\(\lambda=(37,16,9)\)
- Multiplicity: 9
- Dimension: 2640
- Dominant: No
\(\lambda=(32,18,12)\)
- Multiplicity: 455
- Dimension: 1155
- Dominant: No
\(\lambda=(25,23,14)\)
- Multiplicity: 925
- Dimension: 195
- Dominant: No
\(\lambda=(35,19,8)\)
- Multiplicity: 35
- Dimension: 2958
- Dominant: No
\(\lambda=(31,27,4)\)
- Multiplicity: 1
- Dimension: 1740
- Dominant: No
\(\lambda=(30,21,11)\)
- Multiplicity: 738
- Dimension: 1155
- Dominant: No
\(\lambda=(22,20,20)\)
- Multiplicity: 98
- Dimension: 6
- Dominant: No
\(\lambda=(27,18,17)\)
- Multiplicity: 675
- Dimension: 120
- Dominant: No
\(\lambda=(28,24,10)\)
- Multiplicity: 495
- Dimension: 750
- Dominant: No
\(\lambda=(33,22,7)\)
- Multiplicity: 53
- Dimension: 2688
- Dominant: No
\(\lambda=(37,14,11)\)
- Multiplicity: 9
- Dimension: 1344
- Dominant: No
\(\lambda=(32,16,14)\)
- Multiplicity: 289
- Dimension: 510
- Dominant: No
\(\lambda=(25,21,16)\)
- Multiplicity: 1259
- Dimension: 165
- Dominant: No
\(\lambda=(35,17,10)\)
- Multiplicity: 67
- Dimension: 2052
- Dominant: No
\(\lambda=(31,25,6)\)
- Multiplicity: 31
- Dimension: 1890
- Dominant: No
\(\lambda=(30,19,13)\)
- Multiplicity: 952
- Dimension: 798
- Dominant: No
\(\lambda=(28,22,12)\)
- Multiplicity: 1105
- Dimension: 693
- Dominant: No
\(\lambda=(33,20,9)\)
- Multiplicity: 163
- Dimension: 2184
- Dominant: No
\(\lambda=(29,28,5)\)
- Multiplicity: 5
- Dimension: 624
- Dominant: No
\(\lambda=(25,19,18)\)
- Multiplicity: 605
- Dimension: 63
- Dominant: No
\(\lambda=(26,25,11)\)
- Multiplicity: 347
- Dimension: 255
- Dominant: No
\(\lambda=(35,15,12)\)
- Multiplicity: 59
- Dimension: 1050
- Dominant: No
\(\lambda=(36,21,5)\)
- Multiplicity: 1
- Dimension: 4488
- Dominant: Yes
\(\lambda=(31,23,8)\)
- Multiplicity: 169
- Dimension: 1800
- Dominant: No
\(\lambda=(30,17,15)\)
- Multiplicity: 592
- Dimension: 357
- Dominant: No
\(\lambda=(23,22,17)\)
- Multiplicity: 529
- Dimension: 48
- Dominant: No
\(\lambda=(28,20,14)\)
- Multiplicity: 1432
- Dimension: 504
- Dominant: No
\(\lambda=(34,24,4)\)
- Multiplicity: 1
- Dimension: 3696
- Dominant: Yes
\(\lambda=(38,16,8)\)
- Multiplicity: 2
- Dimension: 3312
- Dominant: No
\(\lambda=(33,18,11)\)
- Multiplicity: 263
- Dimension: 1536
- Dominant: No
\(\lambda=(29,26,7)\)
- Multiplicity: 67
- Dimension: 960
- Dominant: No
\(\lambda=(26,23,13)\)
- Multiplicity: 1034
- Dimension: 330
- Dominant: No
\(\lambda=(36,19,7)\)
- Multiplicity: 9
- Dimension: 3627
- Dominant: No
\(\lambda=(31,21,10)\)
- Multiplicity: 447
- Dimension: 1518
- Dominant: No
\(\lambda=(23,20,19)\)
- Multiplicity: 331
- Dimension: 24
- Dominant: No
\(\lambda=(28,18,16)\)
- Multiplicity: 896
- Dimension: 231
- Dominant: No
\(\lambda=(34,22,6)\)
- Multiplicity: 15
- Dimension: 3315
- Dominant: No
\(\lambda=(38,14,10)\)
- Multiplicity: 3
- Dimension: 1875
- Dominant: No
\(\lambda=(33,16,13)\)
- Multiplicity: 218
- Dimension: 792
- Dominant: No
\(\lambda=(29,24,9)\)
- Multiplicity: 325
- Dimension: 1056
- Dominant: No
\(\lambda=(26,21,15)\)
- Multiplicity: 1477
- Dimension: 273
- Dominant: No
\(\lambda=(27,27,8)\)
- Multiplicity: 37
- Dimension: 210
- Dominant: No
\(\lambda=(36,17,9)\)
- Multiplicity: 25
- Dimension: 2610
- Dominant: No
\(\lambda=(32,25,5)\)
- Multiplicity: 9
- Dimension: 2436
- Dominant: No
\(\lambda=(31,19,12)\)
- Multiplicity: 674
- Dimension: 1092
- Dominant: No
\(\lambda=(24,24,14)\)
- Multiplicity: 341
- Dimension: 66
- Dominant: No
\(\lambda=(29,22,11)\)
- Multiplicity: 817
- Dimension: 960
- Dominant: No
\(\lambda=(34,20,8)\)
- Multiplicity: 66
- Dimension: 2730
- Dominant: No
\(\lambda=(38,12,12)\)
- Multiplicity: 1
- Dimension: 378
- Dominant: No
\(\lambda=(30,28,4)\)
- Multiplicity: 2
- Dimension: 1050
- Dominant: No
\(\lambda=(21,21,20)\)
- Multiplicity: 48
- Dimension: 3
- Dominant: No
\(\lambda=(26,19,17)\)
- Multiplicity: 957
- Dimension: 132
- Dominant: No
\(\lambda=(27,25,10)\)
- Multiplicity: 333
- Dimension: 456
- Dominant: No
\(\lambda=(36,15,11)\)
- Multiplicity: 28
- Dimension: 1485
- Dominant: No
\(\lambda=(32,23,7)\)
- Multiplicity: 72
- Dimension: 2295
- Dominant: No
\(\lambda=(31,17,14)\)
- Multiplicity: 535
- Dimension: 570
- Dominant: No
\(\lambda=(24,22,16)\)
- Multiplicity: 905
- Dimension: 105
- Dominant: No
\(\lambda=(29,20,13)\)
- Multiplicity: 1204
- Dimension: 720
- Dominant: No
\(\lambda=(34,18,10)\)
- Multiplicity: 133
- Dimension: 1989
- Dominant: No
\(\lambda=(30,26,6)\)
- Multiplicity: 32
- Dimension: 1365
- Dominant: No
\(\lambda=(27,23,12)\)
- Multiplicity: 966
- Dimension: 510
- Dominant: No
\(\lambda=(37,19,6)\)
- Multiplicity: 1
- Dimension: 4389
- Dominant: Yes
\(\lambda=(36,13,13)\)
- Multiplicity: 8
- Dimension: 300
- Dominant: No
\(\lambda=(32,21,9)\)
- Multiplicity: 235
- Dimension: 1950
- Dominant: No
\(\lambda=(24,20,18)\)
- Multiplicity: 687
- Dimension: 60
- Dominant: No
\(\lambda=(29,18,15)\)
- Multiplicity: 946
- Dimension: 384
- Dominant: No
\(\lambda=(34,16,12)\)
- Multiplicity: 138
- Dimension: 1140
- Dominant: No
\(\lambda=(35,22,5)\)
- Multiplicity: 2
- Dimension: 4032
- Dominant: No
\(\lambda=(30,24,8)\)
- Multiplicity: 185
- Dimension: 1428
- Dominant: No
\(\lambda=(27,21,14)\)
- Multiplicity: 1497
- Dimension: 420
- Dominant: No
\(\lambda=(28,27,7)\)
- Multiplicity: 38
- Dimension: 483
- Dominant: No
\(\lambda=(33,25,4)\)
- Multiplicity: 1
- Dimension: 3069
- Dominant: No
\(\lambda=(37,17,8)\)
- Multiplicity: 6
- Dimension: 3255
- Dominant: No
\(\lambda=(32,19,11)\)
- Multiplicity: 419
- Dimension: 1449
- Dominant: No
\(\lambda=(25,24,13)\)
- Multiplicity: 575
- Dimension: 168
- Dominant: No
\(\lambda=(34,14,14)\)
- Multiplicity: 36
- Dimension: 231
- Dominant: No
\(\lambda=(35,20,7)\)
- Multiplicity: 19
- Dimension: 3360
- Dominant: No
\(\lambda=(30,22,10)\)
- Multiplicity: 536
- Dimension: 1287
- Dominant: No
\(\lambda=(22,21,19)\)
- Multiplicity: 223
- Dimension: 15
- Dominant: No
\(\lambda=(27,19,16)\)
- Multiplicity: 1204
- Dimension: 234
- Dominant: No
\(\lambda=(28,25,9)\)
- Multiplicity: 260
- Dimension: 714
- Dominant: No
\(\lambda=(33,23,6)\)
- Multiplicity: 22
- Dimension: 2871
- Dominant: No
\(\lambda=(37,15,10)\)
- Multiplicity: 10
- Dimension: 2001
- Dominant: No
\(\lambda=(32,17,13)\)
- Multiplicity: 409
- Dimension: 840
- Dominant: No
\(\lambda=(25,22,15)\)
- Multiplicity: 1197
- Dimension: 192
- Dominant: No
\(\lambda=(35,18,9)\)
- Multiplicity: 53
- Dimension: 2520
- Dominant: No
\(\lambda=(31,26,5)\)
- Multiplicity: 9
- Dimension: 1848
- Dominant: No
\(\lambda=(30,20,12)\)
- Multiplicity: 904
- Dimension: 990
- Dominant: No
\(\lambda=(28,23,11)\)
- Multiplicity: 787
- Dimension: 741
- Dominant: No
\(\lambda=(33,21,8)\)
- Multiplicity: 101
- Dimension: 2457
- Dominant: No
\(\lambda=(37,13,12)\)
- Multiplicity: 6
- Dimension: 675
- Dominant: No
\(\lambda=(32,15,15)\)
- Multiplicity: 101
- Dimension: 171
- Dominant: No
\(\lambda=(25,20,17)\)
- Multiplicity: 1061
- Dimension: 120
- Dominant: No
\(\lambda=(26,26,10)\)
- Multiplicity: 126
- Dimension: 153
- Dominant: No
\(\lambda=(35,16,11)\)
- Multiplicity: 70
- Dimension: 1560
- Dominant: No
\(\lambda=(31,24,7)\)
- Multiplicity: 83
- Dimension: 1872
- Dominant: No
\(\lambda=(30,18,14)\)
- Multiplicity: 856
- Dimension: 585
- Dominant: No
\(\lambda=(23,23,16)\)
- Multiplicity: 319
- Dimension: 36
- Dominant: No
\(\lambda=(28,21,13)\)
- Multiplicity: 1343
- Dimension: 612
- Dominant: No
\(\lambda=(38,17,7)\)
- Multiplicity: 1
- Dimension: 3993
- Dominant: Yes
\(\lambda=(33,19,10)\)
- Multiplicity: 223
- Dimension: 1875
- Dominant: No
\(\lambda=(29,27,6)\)
- Multiplicity: 20
- Dimension: 825
- Dominant: No
\(\lambda=(26,24,12)\)
- Multiplicity: 677
- Dimension: 312
- Dominant: No
\(\lambda=(35,14,13)\)
- Multiplicity: 34
- Dimension: 528
- Dominant: No
\(\lambda=(36,20,6)\)
- Multiplicity: 4
- Dimension: 4080
- Dominant: No
\(\lambda=(31,22,9)\)
- Multiplicity: 297
- Dimension: 1680
- Dominant: No
\(\lambda=(30,16,16)\)
- Multiplicity: 217
- Dimension: 120
- Dominant: No
\(\lambda=(23,21,18)\)
- Multiplicity: 529
- Dimension: 42
- Dominant: No
\(\lambda=(28,19,15)\)
- Multiplicity: 1277
- Dimension: 375
- Dominant: No
\(\lambda=(34,23,5)\)
- Multiplicity: 5
- Dimension: 3534
- Dominant: No
\(\lambda=(38,15,9)\)
- Multiplicity: 3
- Dimension: 2604
- Dominant: No
\(\lambda=(33,17,12)\)
- Multiplicity: 266
- Dimension: 1173
- Dominant: No
\(\lambda=(29,25,8)\)
- Multiplicity: 160
- Dimension: 1035
- Dominant: No
\(\textbf{a}=(12,34,16)\)
- Multiplicity: 1717
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,11)\)
- Multiplicity: 7745
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,25)\)
- Multiplicity: 2256
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,30)\)
- Multiplicity: 7031
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,16)\)
- Multiplicity: 104656
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,13,11)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,30)\)
- Multiplicity: 31093
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,35)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,16)\)
- Multiplicity: 132873
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,21)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,30)\)
- Multiplicity: 1826
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,35)\)
- Multiplicity: 715
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,16)\)
- Multiplicity: 4318
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,21)\)
- Multiplicity: 72464
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,35)\)
- Multiplicity: 128
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,7)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,21)\)
- Multiplicity: 307941
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,39,12)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,7)\)
- Multiplicity: 730
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,21)\)
- Multiplicity: 43337
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,26)\)
- Multiplicity: 6228
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,18,7)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,12)\)
- Multiplicity: 6614
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,21)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,26)\)
- Multiplicity: 132873
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,12)\)
- Multiplicity: 42030
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,26)\)
- Multiplicity: 61706
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,31)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,17)\)
- Multiplicity: 8284
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,12)\)
- Multiplicity: 6614
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,26)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,31)\)
- Multiplicity: 7745
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,17)\)
- Multiplicity: 180722
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,11,12)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,31)\)
- Multiplicity: 14294
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,36)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,17)\)
- Multiplicity: 112511
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,22)\)
- Multiplicity: 898
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,31)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,36)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,17)\)
- Multiplicity: 1324
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,37,8)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,22)\)
- Multiplicity: 127232
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,36)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,8)\)
- Multiplicity: 1826
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,22)\)
- Multiplicity: 260887
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,37,13)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,8)\)
- Multiplicity: 1341
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,22)\)
- Multiplicity: 15524
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,27)\)
- Multiplicity: 12581
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,13)\)
- Multiplicity: 22491
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,16,8)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,27)\)
- Multiplicity: 112511
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,32)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,37,18)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,13)\)
- Multiplicity: 61706
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,27)\)
- Multiplicity: 22551
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,32)\)
- Multiplicity: 6614
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,18)\)
- Multiplicity: 27570
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,13)\)
- Multiplicity: 4318
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,27)\)
- Multiplicity: 5
- 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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- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(19,37,6)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,25,20)\)
- Multiplicity: 180722
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,6,34)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,30,6)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,18,20)\)
- Multiplicity: 228696
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,32,25)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,13,39)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,23,6)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,37,11)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,11,20)\)
- Multiplicity: 7745
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,25,25)\)
- Multiplicity: 42030
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,30,11)\)
- Multiplicity: 11445
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,18,25)\)
- Multiplicity: 193666
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,37,16)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,11)\)
- Multiplicity: 19446
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,11,25)\)
- Multiplicity: 24273
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,25,30)\)
- Multiplicity: 730
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,16)\)
- Multiplicity: 32366
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,16,11)\)
- Multiplicity: 571
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,4,25)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,18,30)\)
- Multiplicity: 27570
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,16)\)
- Multiplicity: 179665
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,11,30)\)
- Multiplicity: 11445
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,35)\)
- Multiplicity: 247
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,16)\)
- Multiplicity: 32366
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,30,21)\)
- Multiplicity: 11445
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,30)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,35)\)
- Multiplicity: 571
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,9,16)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,7)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,21)\)
- Multiplicity: 252438
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,7)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,21)\)
- Multiplicity: 157208
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,26)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,35,12)\)
- Multiplicity: 715
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,7)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,21)\)
- Multiplicity: 1794
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,26)\)
- Multiplicity: 61706
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,28,12)\)
- Multiplicity: 30411
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,26)\)
- Multiplicity: 132873
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,35,17)\)
- Multiplicity: 404
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,21,12)\)
- Multiplicity: 23521
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,26)\)
- Multiplicity: 6228
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,31)\)
- Multiplicity: 1341
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,17)\)
- Multiplicity: 79532
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,14,12)\)
- Multiplicity: 253
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,31)\)
- Multiplicity: 18403
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,17)\)
- Multiplicity: 206432
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,22)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,31)\)
- Multiplicity: 2747
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,36)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,17)\)
- Multiplicity: 16928
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,22)\)
- Multiplicity: 30411
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,36)\)
- Multiplicity: 95
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,7,17)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,8)\)
- Multiplicity: 535
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,22)\)
- Multiplicity: 288281
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,8)\)
- Multiplicity: 2566
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,22)\)
- Multiplicity: 86169
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,27)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,33,13)\)
- Multiplicity: 4318
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,8)\)
- Multiplicity: 128
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,22)\)
- Multiplicity: 227
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,27)\)
- Multiplicity: 72464
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,26,13)\)
- Multiplicity: 61706
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,27)\)
- Multiplicity: 72464
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,32)\)
- Multiplicity: 1794
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,18)\)
- Multiplicity: 2664
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,19,13)\)
- Multiplicity: 22491
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,27)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,32)\)
- Multiplicity: 9462
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,18)\)
- Multiplicity: 153067
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,12,13)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,18)\)
- Multiplicity: 193666
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,31,4)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,23)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,32)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,37)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,18)\)
- Multiplicity: 6614
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,24,4)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,38,9)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,23)\)
- Multiplicity: 61706
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,37)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,9)\)
- Multiplicity: 2747
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,23)\)
- Multiplicity: 269969
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,38,14)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,9)\)
- Multiplicity: 4898
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,23)\)
- Multiplicity: 36423
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,28)\)
- Multiplicity: 2566
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,31,14)\)
- Multiplicity: 16928
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,17,9)\)
- Multiplicity: 95
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,23)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,28)\)
- Multiplicity: 68503
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,14)\)
- Multiplicity: 98840
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,28)\)
- Multiplicity: 30411
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,33)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,14)\)
- Multiplicity: 16928
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,19)\)
- Multiplicity: 11035
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,28)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,33)\)
- Multiplicity: 3569
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,10,14)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,36,5)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,19)\)
- Multiplicity: 236576
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,33)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,29,5)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,19)\)
- Multiplicity: 147754
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,24)\)
- Multiplicity: 552
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,38)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,22,5)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,36,10)\)
- Multiplicity: 153
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,19)\)
- Multiplicity: 1782
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,24)\)
- Multiplicity: 98840
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,10)\)
- Multiplicity: 9247
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,24)\)
- Multiplicity: 206432
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,15)\)
- Multiplicity: 209
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,10)\)
- Multiplicity: 7031
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,24)\)
- Multiplicity: 11228
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,29)\)
- Multiplicity: 4898
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,15)\)
- Multiplicity: 48062
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,15,10)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,29)\)
- Multiplicity: 51911
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,15)\)
- Multiplicity: 127232
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,20)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,29)\)
- Multiplicity: 9247
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,34)\)
- Multiplicity: 1324
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,15)\)
- Multiplicity: 9881
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,20)\)
- Multiplicity: 32481
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,34)\)
- Multiplicity: 911
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,6)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,20)\)
- Multiplicity: 298030
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,6)\)
- Multiplicity: 270
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,20)\)
- Multiplicity: 90451
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,25)\)
- Multiplicity: 2256
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,39)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,20,6)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,11)\)
- Multiplicity: 1324
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,20)\)
- Multiplicity: 284
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,25)\)
- Multiplicity: 127232
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,11)\)
- Multiplicity: 22551
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,25)\)
- Multiplicity: 127232
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{9,\lambda}(2,2;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{9,1}(2,2;6)\). 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 \(\beta_{9,\textbf{a}}(2,2;6)\). 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!