Current Betti Table Entry:
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0 |
1 |
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5 |
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8 |
9 |
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11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
0 |
(0,0,0) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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· |
· |
· |
· |
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· |
· |
1 |
· |
(10,2,0) |
(15,2,1) |
(19,4,1) |
(23,5,2) |
(27,5,4) |
(30,8,4) |
(33,10,5) |
(36,11,7) |
(39,11,10) |
(41,15,10) |
(43,18,11) |
(45,20,13) |
(47,21,16) |
(49,21,20) |
(50,26,20) |
(51,30,21) |
(52,33,23) |
(53,35,26) |
(54,36,30) |
(55,36,35) |
(55,41,36) |
· |
· |
· |
· |
2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
(45,45,18) |
(48,45,21) |
(50,46,24) |
(52,46,28) |
(53,48,31) |
(54,49,35) |
(55,49,40) |
(55,52,43) |
(55,54,47) |
(55,55,52) |
\(\lambda=(26,22,12)\)
- Multiplicity: 1295
- Dimension: 440
- Dominant: No
\(\lambda=(36,18,6)\)
- Multiplicity: 4
- Dimension: 3952
- Dominant: No
\(\lambda=(31,20,9)\)
- Multiplicity: 366
- Dimension: 1728
- Dominant: No
\(\lambda=(23,19,18)\)
- Multiplicity: 542
- Dimension: 35
- Dominant: No
\(\lambda=(28,17,15)\)
- Multiplicity: 1006
- Dimension: 270
- Dominant: No
\(\lambda=(33,15,12)\)
- Multiplicity: 202
- Dimension: 874
- Dominant: No
\(\lambda=(34,21,5)\)
- Multiplicity: 5
- Dimension: 3689
- Dominant: No
\(\lambda=(38,13,9)\)
- Multiplicity: 2
- Dimension: 2015
- Dominant: No
\(\lambda=(29,23,8)\)
- Multiplicity: 260
- Dimension: 1288
- Dominant: No
\(\lambda=(26,20,14)\)
- Multiplicity: 1857
- Dimension: 343
- Dominant: No
\(\lambda=(27,26,7)\)
- Multiplicity: 52
- Dimension: 440
- Dominant: No
\(\lambda=(32,24,4)\)
- Multiplicity: 2
- Dimension: 2835
- Dominant: No
\(\lambda=(36,16,8)\)
- Multiplicity: 17
- Dimension: 2835
- Dominant: No
\(\lambda=(31,18,11)\)
- Multiplicity: 628
- Dimension: 1232
- Dominant: No
\(\lambda=(24,23,13)\)
- Multiplicity: 731
- Dimension: 143
- Dominant: No
\(\lambda=(34,19,7)\)
- Multiplicity: 38
- Dimension: 3016
- Dominant: No
\(\lambda=(29,21,10)\)
- Multiplicity: 765
- Dimension: 1134
- Dominant: No
\(\lambda=(21,20,19)\)
- Multiplicity: 159
- Dimension: 8
- Dominant: No
\(\lambda=(26,18,16)\)
- Multiplicity: 1221
- Dimension: 162
- Dominant: No
\(\lambda=(27,24,9)\)
- Multiplicity: 361
- Dimension: 640
- Dominant: No
\(\lambda=(36,14,10)\)
- Multiplicity: 25
- Dimension: 1610
- Dominant: No
\(\lambda=(32,22,6)\)
- Multiplicity: 38
- Dimension: 2618
- Dominant: No
\(\lambda=(31,16,13)\)
- Multiplicity: 536
- Dimension: 640
- Dominant: No
\(\lambda=(24,21,15)\)
- Multiplicity: 1398
- Dimension: 154
- Dominant: No
\(\lambda=(34,17,9)\)
- Multiplicity: 101
- Dimension: 2187
- Dominant: No
\(\lambda=(30,25,5)\)
- Multiplicity: 13
- Dimension: 1701
- Dominant: No
\(\lambda=(29,19,12)\)
- Multiplicity: 1235
- Dimension: 836
- Dominant: No
\(\lambda=(27,22,11)\)
- Multiplicity: 1075
- Dimension: 648
- Dominant: No
\(\lambda=(36,12,12)\)
- Multiplicity: 7
- Dimension: 325
- Dominant: No
\(\lambda=(32,20,8)\)
- Multiplicity: 171
- Dimension: 2197
- Dominant: No
\(\lambda=(28,28,4)\)
- Multiplicity: 1
- Dimension: 325
- Dominant: No
\(\lambda=(24,19,17)\)
- Multiplicity: 999
- Dimension: 81
- Dominant: No
\(\lambda=(25,25,10)\)
- Multiplicity: 158
- Dimension: 136
- Dominant: No
\(\lambda=(34,15,11)\)
- Multiplicity: 119
- Dimension: 1250
- Dominant: No
\(\lambda=(30,23,7)\)
- Multiplicity: 123
- Dimension: 1700
- Dominant: No
\(\lambda=(29,17,14)\)
- Multiplicity: 1020
- Dimension: 442
- Dominant: No
\(\lambda=(22,22,16)\)
- Multiplicity: 370
- Dimension: 28
- Dominant: No
\(\lambda=(27,20,13)\)
- Multiplicity: 1737
- Dimension: 512
- Dominant: No
\(\lambda=(37,16,7)\)
- Multiplicity: 3
- Dimension: 3520
- Dominant: No
\(\lambda=(32,18,10)\)
- Multiplicity: 365
- Dimension: 1620
- Dominant: No
\(\lambda=(28,26,6)\)
- Multiplicity: 31
- Dimension: 756
- Dominant: No
\(\lambda=(25,23,12)\)
- Multiplicity: 872
- Dimension: 270
- Dominant: No
\(\lambda=(34,13,13)\)
- Multiplicity: 32
- Dimension: 253
- Dominant: No
\(\lambda=(39,11,10)\)
- Multiplicity: 1
- Dimension: 899
- Dominant: Yes
\(\lambda=(35,19,6)\)
- Multiplicity: 9
- Dimension: 3689
- Dominant: No
\(\lambda=(30,21,9)\)
- Multiplicity: 447
- Dimension: 1495
- Dominant: No
\(\lambda=(22,20,18)\)
- Multiplicity: 474
- Dimension: 27
- Dominant: No
\(\lambda=(27,18,15)\)
- Multiplicity: 1431
- Dimension: 280
- Dominant: No
\(\lambda=(28,24,8)\)
- Multiplicity: 234
- Dimension: 935
- Dominant: No
\(\lambda=(33,22,5)\)
- Multiplicity: 8
- Dimension: 3240
- Dominant: No
\(\lambda=(37,14,9)\)
- Multiplicity: 8
- Dimension: 2160
- Dominant: No
\(\lambda=(32,16,12)\)
- Multiplicity: 392
- Dimension: 935
- Dominant: No
\(\lambda=(25,21,14)\)
- Multiplicity: 1642
- Dimension: 260
- Dominant: No
\(\lambda=(35,17,8)\)
- Multiplicity: 36
- Dimension: 2755
- Dominant: No
\(\lambda=(31,25,4)\)
- Multiplicity: 2
- Dimension: 2233
- Dominant: No
\(\lambda=(30,19,11)\)
- Multiplicity: 857
- Dimension: 1134
- Dominant: No
\(\lambda=(28,22,10)\)
- Multiplicity: 786
- Dimension: 910
- Dominant: No
\(\lambda=(33,20,7)\)
- Multiplicity: 62
- Dimension: 2744
- Dominant: No
\(\lambda=(37,12,11)\)
- Multiplicity: 4
- Dimension: 728
- Dominant: No
\(\lambda=(32,14,14)\)
- Multiplicity: 107
- Dimension: 190
- Dominant: No
\(\lambda=(25,19,16)\)
- Multiplicity: 1432
- Dimension: 154
- Dominant: No
\(\lambda=(26,25,9)\)
- Multiplicity: 199
- Dimension: 323
- Dominant: No
\(\lambda=(35,15,10)\)
- Multiplicity: 59
- Dimension: 1701
- Dominant: No
\(\lambda=(31,23,6)\)
- Multiplicity: 44
- Dimension: 2187
- Dominant: No
\(\lambda=(30,17,13)\)
- Multiplicity: 872
- Dimension: 665
- Dominant: No
\(\lambda=(23,22,15)\)
- Multiplicity: 789
- Dimension: 80
- Dominant: No
\(\lambda=(28,20,12)\)
- Multiplicity: 1446
- Dimension: 729
- Dominant: No
\(\lambda=(33,18,9)\)
- Multiplicity: 175
- Dimension: 2080
- Dominant: No
\(\lambda=(29,26,5)\)
- Multiplicity: 11
- Dimension: 1144
- Dominant: No
\(\lambda=(26,23,11)\)
- Multiplicity: 843
- Dimension: 442
- Dominant: No
\(\lambda=(35,13,12)\)
- Multiplicity: 30
- Dimension: 575
- Dominant: No
\(\lambda=(36,19,5)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(31,21,8)\)
- Multiplicity: 219
- Dimension: 1925
- Dominant: No
\(\lambda=(30,15,15)\)
- Multiplicity: 218
- Dimension: 136
- Dominant: No
\(\lambda=(23,20,17)\)
- Multiplicity: 909
- Dimension: 64
- Dominant: No
\(\lambda=(28,18,14)\)
- Multiplicity: 1443
- Dimension: 440
- Dominant: No
\(\lambda=(33,16,11)\)
- Multiplicity: 237
- Dimension: 1296
- Dominant: No
\(\lambda=(34,22,4)\)
- Multiplicity: 1
- Dimension: 3952
- Dominant: Yes
\(\lambda=(38,14,8)\)
- Multiplicity: 2
- Dimension: 2800
- Dominant: No
\(\lambda=(29,24,7)\)
- Multiplicity: 118
- Dimension: 1296
- Dominant: No
\(\lambda=(26,21,13)\)
- Multiplicity: 1665
- Dimension: 405
- Dominant: No
\(\lambda=(27,27,6)\)
- Multiplicity: 9
- Dimension: 253
- Dominant: No
\(\lambda=(36,17,7)\)
- Multiplicity: 9
- Dimension: 3410
- Dominant: No
\(\lambda=(31,19,10)\)
- Multiplicity: 519
- Dimension: 1495
- Dominant: No
\(\lambda=(24,24,12)\)
- Multiplicity: 322
- Dimension: 91
- Dominant: No
\(\lambda=(28,16,16)\)
- Multiplicity: 373
- Dimension: 91
- Dominant: No
\(\lambda=(33,14,13)\)
- Multiplicity: 119
- Dimension: 440
- Dominant: No
\(\lambda=(34,20,6)\)
- Multiplicity: 17
- Dimension: 3375
- Dominant: No
\(\lambda=(38,12,10)\)
- Multiplicity: 2
- Dimension: 1215
- Dominant: No
\(\lambda=(29,22,9)\)
- Multiplicity: 486
- Dimension: 1232
- Dominant: No
\(\lambda=(21,21,18)\)
- Multiplicity: 177
- Dimension: 10
- Dominant: No
\(\lambda=(26,19,15)\)
- Multiplicity: 1702
- Dimension: 260
- Dominant: No
\(\lambda=(27,25,8)\)
- Multiplicity: 154
- Dimension: 567
- Dominant: No
\(\lambda=(36,15,9)\)
- Multiplicity: 22
- Dimension: 2233
- Dominant: No
\(\lambda=(32,23,5)\)
- Multiplicity: 11
- Dimension: 2755
- Dominant: No
\(\lambda=(31,17,12)\)
- Multiplicity: 643
- Dimension: 945
- Dominant: No
\(\lambda=(24,22,14)\)
- Multiplicity: 1155
- Dimension: 162
- Dominant: No
\(\lambda=(34,18,8)\)
- Multiplicity: 71
- Dimension: 2618
- Dominant: No
\(\lambda=(30,26,4)\)
- Multiplicity: 3
- Dimension: 1610
- Dominant: No
\(\lambda=(29,20,11)\)
- Multiplicity: 1047
- Dimension: 1000
- Dominant: No
\(\lambda=(26,17,17)\)
- Multiplicity: 432
- Dimension: 55
- Dominant: No
\(\lambda=(27,23,10)\)
- Multiplicity: 673
- Dimension: 665
- Dominant: No
\(\lambda=(36,13,11)\)
- Multiplicity: 17
- Dimension: 972
- Dominant: No
\(\lambda=(32,21,7)\)
- Multiplicity: 88
- Dimension: 2430
- Dominant: No
\(\lambda=(31,15,14)\)
- Multiplicity: 305
- Dimension: 323
- Dominant: No
\(\lambda=(24,20,16)\)
- Multiplicity: 1380
- Dimension: 125
- Dominant: No
\(\lambda=(34,16,10)\)
- Multiplicity: 125
- Dimension: 1729
- Dominant: No
\(\lambda=(30,24,6)\)
- Multiplicity: 49
- Dimension: 1729
- Dominant: No
\(\lambda=(29,18,13)\)
- Multiplicity: 1247
- Dimension: 648
- Dominant: No
\(\lambda=(27,21,12)\)
- Multiplicity: 1464
- Dimension: 595
- Dominant: No
\(\lambda=(37,17,6)\)
- Multiplicity: 1
- Dimension: 4158
- Dominant: Yes
\(\lambda=(32,19,9)\)
- Multiplicity: 268
- Dimension: 1925
- Dominant: No
\(\lambda=(28,27,5)\)
- Multiplicity: 6
- Dimension: 575
- Dominant: No
\(\lambda=(24,18,18)\)
- Multiplicity: 377
- Dimension: 28
- Dominant: No
\(\lambda=(25,24,11)\)
- Multiplicity: 465
- Dimension: 224
- Dominant: No
\(\lambda=(34,14,12)\)
- Multiplicity: 92
- Dimension: 756
- Dominant: No
\(\lambda=(35,20,5)\)
- Multiplicity: 2
- Dimension: 4096
- Dominant: No
\(\lambda=(30,22,8)\)
- Multiplicity: 261
- Dimension: 1620
- Dominant: No
\(\lambda=(29,16,15)\)
- Multiplicity: 576
- Dimension: 224
- Dominant: No
\(\lambda=(22,21,17)\)
- Multiplicity: 537
- Dimension: 35
- Dominant: No
\(\lambda=(27,19,14)\)
- Multiplicity: 1746
- Dimension: 405
- Dominant: No
\(\lambda=(28,25,7)\)
- Multiplicity: 94
- Dimension: 874
- Dominant: No
\(\lambda=(33,23,4)\)
- Multiplicity: 1
- Dimension: 3410
- Dominant: No
\(\lambda=(37,15,8)\)
- Multiplicity: 6
- Dimension: 2852
- Dominant: No
\(\lambda=(32,17,11)\)
- Multiplicity: 409
- Dimension: 1288
- Dominant: No
\(\lambda=(25,22,13)\)
- Multiplicity: 1322
- Dimension: 280
- Dominant: No
\(\lambda=(35,18,7)\)
- Multiplicity: 20
- Dimension: 3240
- Dominant: No
\(\lambda=(30,20,10)\)
- Multiplicity: 673
- Dimension: 1331
- Dominant: No
\(\lambda=(22,19,19)\)
- Multiplicity: 179
- Dimension: 10
- Dominant: No
\(\lambda=(27,17,16)\)
- Multiplicity: 807
- Dimension: 143
- Dominant: No
\(\lambda=(28,23,9)\)
- Multiplicity: 459
- Dimension: 945
- Dominant: No
\(\lambda=(33,21,6)\)
- Multiplicity: 26
- Dimension: 3016
- Dominant: No
\(\lambda=(37,13,10)\)
- Multiplicity: 8
- Dimension: 1450
- Dominant: No
\(\lambda=(32,15,13)\)
- Multiplicity: 278
- Dimension: 567
- Dominant: No
\(\lambda=(25,20,15)\)
- Multiplicity: 1715
- Dimension: 216
- Dominant: No
\(\lambda=(26,26,8)\)
- Multiplicity: 61
- Dimension: 190
- Dominant: No
\(\lambda=(35,16,9)\)
- Multiplicity: 51
- Dimension: 2240
- Dominant: No
\(\lambda=(31,24,5)\)
- Multiplicity: 13
- Dimension: 2240
- Dominant: No
\(\lambda=(30,18,12)\)
- Multiplicity: 954
- Dimension: 910
- Dominant: No
\(\lambda=(23,23,14)\)
- Multiplicity: 402
- Dimension: 55
- Dominant: No
\(\lambda=(28,21,11)\)
- Multiplicity: 1134
- Dimension: 836
- Dominant: No
\(\lambda=(33,19,8)\)
- Multiplicity: 115
- Dimension: 2430
- Dominant: No
\(\lambda=(29,27,4)\)
- Multiplicity: 1
- Dimension: 972
- Dominant: No
\(\lambda=(20,20,20)\)
- Multiplicity: 25
- Dimension: 1
- Dominant: No
\(\lambda=(25,18,17)\)
- Multiplicity: 819
- Dimension: 80
- Dominant: No
\(\lambda=(26,24,10)\)
- Multiplicity: 469
- Dimension: 405
- Dominant: No
\(\lambda=(35,14,11)\)
- Multiplicity: 52
- Dimension: 1144
- Dominant: No
\(\lambda=(31,22,7)\)
- Multiplicity: 111
- Dimension: 2080
- Dominant: No
\(\lambda=(30,16,14)\)
- Multiplicity: 626
- Dimension: 405
- Dominant: No
\(\lambda=(23,21,16)\)
- Multiplicity: 981
- Dimension: 81
- Dominant: No
\(\lambda=(28,19,13)\)
- Multiplicity: 1566
- Dimension: 595
- Dominant: No
\(\lambda=(33,17,10)\)
- Multiplicity: 224
- Dimension: 1700
- Dominant: No
\(\lambda=(38,15,7)\)
- Multiplicity: 1
- Dimension: 3564
- Dominant: Yes
\(\lambda=(29,25,6)\)
- Multiplicity: 41
- Dimension: 1250
- Dominant: No
\(\textbf{a}=(12,34,14)\)
- Multiplicity: 1467
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,9)\)
- Multiplicity: 3163
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,23)\)
- Multiplicity: 2957
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,28)\)
- Multiplicity: 14562
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,14)\)
- Multiplicity: 82106
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,13,9)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,28)\)
- Multiplicity: 68646
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,33)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,14)\)
- Multiplicity: 103679
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,19)\)
- Multiplicity: 129
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,28)\)
- Multiplicity: 3576
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,33)\)
- Multiplicity: 3235
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,14)\)
- Multiplicity: 3622
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,19)\)
- Multiplicity: 82106
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,33)\)
- Multiplicity: 584
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,5)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,19)\)
- Multiplicity: 351647
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,38)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,5)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,39,10)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,19)\)
- Multiplicity: 48946
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,24)\)
- Multiplicity: 8936
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,38)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,10)\)
- Multiplicity: 3314
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,19)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,24)\)
- Multiplicity: 210781
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,10)\)
- Multiplicity: 19895
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,24)\)
- Multiplicity: 95432
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,29)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,15)\)
- Multiplicity: 7412
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,10)\)
- Multiplicity: 3314
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,24)\)
- Multiplicity: 300
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,29)\)
- Multiplicity: 18303
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,15)\)
- Multiplicity: 153756
- Dimension: 1
- Error: 0
\(\textbf{a}=(39,11,10)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,29)\)
- Multiplicity: 34662
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,34)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,15)\)
- Multiplicity: 96538
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,20)\)
- Multiplicity: 1016
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,29)\)
- Multiplicity: 371
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,34)\)
- Multiplicity: 1556
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,15)\)
- Multiplicity: 1218
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,37,6)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,20)\)
- Multiplicity: 153756
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,34)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,6)\)
- Multiplicity: 300
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,20)\)
- Multiplicity: 317876
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,6)\)
- Multiplicity: 218
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,37,11)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,20)\)
- Multiplicity: 18303
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,25)\)
- Multiplicity: 19895
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,11)\)
- Multiplicity: 12818
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,25)\)
- Multiplicity: 192805
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,37,16)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,11)\)
- Multiplicity: 34047
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,25)\)
- Multiplicity: 36419
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,30)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,16)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,11)\)
- Multiplicity: 2577
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,25)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,30)\)
- Multiplicity: 17941
- Dimension: 1
- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(18,24,18)\)
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\(\textbf{a}=(25,17,18)\)
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\(\textbf{a}=(29,22,9)\)
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- Error: 0
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\(\textbf{a}=(38,8,14)\)
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\(\textbf{a}=(19,22,19)\)
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\(\textbf{a}=(28,27,5)\)
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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
\(\textbf{a}=(9,37,14)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,9)\)
- Multiplicity: 7742
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,11,23)\)
- Multiplicity: 34047
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,25,28)\)
- Multiplicity: 1379
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,14)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,16,9)\)
- Multiplicity: 243
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,4,23)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,18,28)\)
- Multiplicity: 60552
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,14)\)
- Multiplicity: 139182
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,11,28)\)
- Multiplicity: 24195
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,33)\)
- Multiplicity: 1113
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,14)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,30,19)\)
- Multiplicity: 12818
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,28)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,33)\)
- Multiplicity: 2577
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,9,14)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,35,5)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,19)\)
- Multiplicity: 287952
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,4,33)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,5)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,19)\)
- Multiplicity: 178867
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,24)\)
- Multiplicity: 300
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,11,38)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,5)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,35,10)\)
- Multiplicity: 379
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,19)\)
- Multiplicity: 1976
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,24)\)
- Multiplicity: 95432
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,28,10)\)
- Multiplicity: 14562
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,24)\)
- Multiplicity: 210781
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,35,15)\)
- Multiplicity: 379
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,21,10)\)
- Multiplicity: 11354
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,24)\)
- Multiplicity: 8936
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,29)\)
- Multiplicity: 2957
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,15)\)
- Multiplicity: 68646
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,14,10)\)
- Multiplicity: 138
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,29)\)
- Multiplicity: 45134
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,15)\)
- Multiplicity: 175197
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,20)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,29)\)
- Multiplicity: 6225
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,34)\)
- Multiplicity: 890
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,15)\)
- Multiplicity: 14993
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,20)\)
- Multiplicity: 36144
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,34)\)
- Multiplicity: 558
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,7,15)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,6)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,20)\)
- Multiplicity: 351647
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,6)\)
- Multiplicity: 424
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,20)\)
- Multiplicity: 103679
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,25)\)
- Multiplicity: 1379
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,6)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,33,11)\)
- Multiplicity: 2577
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,20)\)
- Multiplicity: 251
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,25)\)
- Multiplicity: 122175
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,26,11)\)
- Multiplicity: 34047
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,25)\)
- Multiplicity: 122175
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,16)\)
- Multiplicity: 2577
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,19,11)\)
- Multiplicity: 12818
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,25)\)
- Multiplicity: 1379
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,30)\)
- Multiplicity: 4628
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,16)\)
- Multiplicity: 141790
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,12,11)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,30)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,16)\)
- Multiplicity: 178867
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,21)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,30)\)
- Multiplicity: 923
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,35)\)
- Multiplicity: 500
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,16)\)
- Multiplicity: 6338
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,38,7)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,21)\)
- Multiplicity: 78341
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,35)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,7)\)
- Multiplicity: 662
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,21)\)
- Multiplicity: 351647
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,38,12)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,7)\)
- Multiplicity: 1176
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,21)\)
- Multiplicity: 45823
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,26)\)
- Multiplicity: 4151
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,31,12)\)
- Multiplicity: 11161
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,17,7)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,21)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,26)\)
- Multiplicity: 126167
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,12)\)
- Multiplicity: 61896
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,26)\)
- Multiplicity: 54205
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,17)\)
- Multiplicity: 11161
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,12)\)
- Multiplicity: 11161
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,26)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,31)\)
- Multiplicity: 5451
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,17)\)
- Multiplicity: 235206
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,10,12)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,31)\)
- Multiplicity: 11161
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,17)\)
- Multiplicity: 147350
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,22)\)
- Multiplicity: 662
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,31)\)
- Multiplicity: 50
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,36)\)
- Multiplicity: 185
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,17)\)
- Multiplicity: 1816
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,36,8)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,22)\)
- Multiplicity: 134763
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,5,36)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,8)\)
- Multiplicity: 2957
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,22)\)
- Multiplicity: 286236
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,13)\)
- Multiplicity: 172
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,8)\)
- Multiplicity: 2265
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,22)\)
- Multiplicity: 14562
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,27)\)
- Multiplicity: 8936
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,13)\)
- Multiplicity: 34662
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,15,8)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,27)\)
- Multiplicity: 104602
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,32)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,13)\)
- Multiplicity: 89382
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,18)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,27)\)
- Multiplicity: 17327
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,32)\)
- Multiplicity: 4855
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,13)\)
- Multiplicity: 7412
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,18)\)
- Multiplicity: 34662
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,34,4)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,18)\)
- Multiplicity: 317876
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,32)\)
- Multiplicity: 3314
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,37)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,18)\)
- Multiplicity: 96538
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,27,4)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,23)\)
- Multiplicity: 2957
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,37)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,18)\)
- Multiplicity: 299
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,9)\)
- Multiplicity: 558
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,23)\)
- Multiplicity: 186943
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,9)\)
- Multiplicity: 8936
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,23)\)
- Multiplicity: 186943
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{9,\lambda}(2,0;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{9,1}(2,0;6)\). 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 \(\beta_{9,\textbf{a}}(2,0;6)\). 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!