Current Betti Table Entry:
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0 |
1 |
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3 |
4 |
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6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
| 0 |
(0,0,0) |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
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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) |
\(\lambda=(23,19,12)\)
- Multiplicity: 1017
- Dimension: 260
- Dominant: No
\(\lambda=(33,15,6)\)
- Multiplicity: 14
- Dimension: 2755
- Dominant: No
\(\lambda=(28,17,9)\)
- Multiplicity: 480
- Dimension: 1134
- Dominant: No
\(\lambda=(30,12,12)\)
- Multiplicity: 57
- Dimension: 190
- Dominant: No
\(\lambda=(31,18,5)\)
- Multiplicity: 24
- Dimension: 2744
- Dominant: No
\(\lambda=(35,10,9)\)
- Multiplicity: 3
- Dimension: 728
- Dominant: No
\(\lambda=(26,20,8)\)
- Multiplicity: 420
- Dimension: 910
- Dominant: No
\(\lambda=(23,17,14)\)
- Multiplicity: 901
- Dimension: 154
- Dominant: No
\(\lambda=(24,23,7)\)
- Multiplicity: 103
- Dimension: 323
- Dominant: No
\(\lambda=(33,13,8)\)
- Multiplicity: 29
- Dimension: 1701
- Dominant: No
\(\lambda=(29,21,4)\)
- Multiplicity: 14
- Dimension: 2187
- Dominant: No
\(\lambda=(28,15,11)\)
- Multiplicity: 514
- Dimension: 665
- Dominant: No
\(\lambda=(21,20,13)\)
- Multiplicity: 495
- Dimension: 80
- Dominant: No
\(\lambda=(31,16,7)\)
- Multiplicity: 84
- Dimension: 2080
- Dominant: No
\(\lambda=(27,24,3)\)
- Multiplicity: 2
- Dimension: 1144
- Dominant: No
\(\lambda=(26,18,10)\)
- Multiplicity: 837
- Dimension: 729
- Dominant: No
\(\lambda=(24,21,9)\)
- Multiplicity: 480
- Dimension: 442
- Dominant: No
\(\lambda=(33,11,10)\)
- Multiplicity: 16
- Dimension: 575
- Dominant: No
\(\lambda=(29,19,6)\)
- Multiplicity: 101
- Dimension: 1925
- Dominant: No
\(\lambda=(28,13,13)\)
- Multiplicity: 137
- Dimension: 136
- Dominant: No
\(\lambda=(21,18,15)\)
- Multiplicity: 577
- Dimension: 64
- Dominant: No
\(\lambda=(31,14,9)\)
- Multiplicity: 129
- Dimension: 1296
- Dominant: No
\(\lambda=(27,22,5)\)
- Multiplicity: 49
- Dimension: 1296
- Dominant: No
\(\lambda=(26,16,12)\)
- Multiplicity: 868
- Dimension: 440
- Dominant: No
\(\lambda=(24,19,11)\)
- Multiplicity: 1005
- Dimension: 405
- Dominant: No
\(\lambda=(34,15,5)\)
- Multiplicity: 3
- Dimension: 3410
- Dominant: No
\(\lambda=(29,17,8)\)
- Multiplicity: 274
- Dimension: 1495
- Dominant: No
\(\lambda=(25,25,4)\)
- Multiplicity: 3
- Dimension: 253
- Dominant: No
\(\lambda=(22,22,10)\)
- Multiplicity: 183
- Dimension: 91
- Dominant: No
\(\lambda=(31,12,11)\)
- Multiplicity: 65
- Dimension: 440
- Dominant: No
\(\lambda=(36,10,8)\)
- Multiplicity: 1
- Dimension: 1215
- Dominant: No
\(\lambda=(32,18,4)\)
- Multiplicity: 4
- Dimension: 3375
- Dominant: No
\(\lambda=(27,20,7)\)
- Multiplicity: 247
- Dimension: 1232
- Dominant: No
\(\lambda=(26,14,14)\)
- Multiplicity: 221
- Dimension: 91
- Dominant: No
\(\lambda=(19,19,16)\)
- Multiplicity: 117
- Dimension: 10
- Dominant: No
\(\lambda=(24,17,13)\)
- Multiplicity: 1062
- Dimension: 260
- Dominant: No
\(\lambda=(30,21,3)\)
- Multiplicity: 2
- Dimension: 2755
- Dominant: No
\(\lambda=(34,13,7)\)
- Multiplicity: 10
- Dimension: 2233
- Dominant: No
\(\lambda=(29,15,10)\)
- Multiplicity: 366
- Dimension: 945
- Dominant: No
\(\lambda=(25,23,6)\)
- Multiplicity: 74
- Dimension: 567
- Dominant: No
\(\lambda=(22,20,12)\)
- Multiplicity: 703
- Dimension: 162
- Dominant: No
\(\lambda=(32,16,6)\)
- Multiplicity: 29
- Dimension: 2618
- Dominant: No
\(\lambda=(27,18,9)\)
- Multiplicity: 588
- Dimension: 1000
- Dominant: No
\(\lambda=(24,15,15)\)
- Multiplicity: 275
- Dimension: 55
- Dominant: No
\(\lambda=(25,21,8)\)
- Multiplicity: 369
- Dimension: 665
- Dominant: No
\(\lambda=(30,19,5)\)
- Multiplicity: 35
- Dimension: 2430
- Dominant: No
\(\lambda=(34,11,9)\)
- Multiplicity: 9
- Dimension: 972
- Dominant: No
\(\lambda=(29,13,12)\)
- Multiplicity: 181
- Dimension: 323
- Dominant: No
\(\lambda=(22,18,14)\)
- Multiplicity: 864
- Dimension: 125
- Dominant: No
\(\lambda=(32,14,8)\)
- Multiplicity: 62
- Dimension: 1729
- Dominant: No
\(\lambda=(28,22,4)\)
- Multiplicity: 15
- Dimension: 1729
- Dominant: No
\(\lambda=(27,16,11)\)
- Multiplicity: 737
- Dimension: 648
- Dominant: No
\(\lambda=(25,19,10)\)
- Multiplicity: 861
- Dimension: 595
- Dominant: No
\(\lambda=(30,17,7)\)
- Multiplicity: 133
- Dimension: 1925
- Dominant: No
\(\lambda=(26,25,3)\)
- Multiplicity: 2
- Dimension: 575
- Dominant: No
\(\lambda=(22,16,16)\)
- Multiplicity: 231
- Dimension: 28
- Dominant: No
\(\lambda=(23,22,9)\)
- Multiplicity: 267
- Dimension: 224
- Dominant: No
\(\lambda=(32,12,10)\)
- Multiplicity: 47
- Dimension: 756
- Dominant: No
\(\lambda=(28,20,6)\)
- Multiplicity: 118
- Dimension: 1620
- Dominant: No
\(\lambda=(27,14,13)\)
- Multiplicity: 352
- Dimension: 224
- Dominant: No
\(\lambda=(20,19,15)\)
- Multiplicity: 347
- Dimension: 35
- Dominant: No
\(\lambda=(25,17,12)\)
- Multiplicity: 1067
- Dimension: 405
- Dominant: No
\(\lambda=(30,15,9)\)
- Multiplicity: 224
- Dimension: 1288
- Dominant: No
\(\lambda=(35,13,6)\)
- Multiplicity: 2
- Dimension: 2852
- Dominant: No
\(\lambda=(26,23,5)\)
- Multiplicity: 39
- Dimension: 874
- Dominant: No
\(\lambda=(23,20,11)\)
- Multiplicity: 796
- Dimension: 280
- Dominant: No
\(\lambda=(33,16,5)\)
- Multiplicity: 7
- Dimension: 3240
- Dominant: No
\(\lambda=(28,18,8)\)
- Multiplicity: 357
- Dimension: 1331
- Dominant: No
\(\lambda=(20,17,17)\)
- Multiplicity: 118
- Dimension: 10
- Dominant: No
\(\lambda=(25,15,14)\)
- Multiplicity: 502
- Dimension: 143
- Dominant: No
\(\lambda=(30,13,11)\)
- Multiplicity: 161
- Dimension: 567
- Dominant: No
\(\lambda=(31,19,4)\)
- Multiplicity: 7
- Dimension: 3016
- Dominant: No
\(\lambda=(35,11,8)\)
- Multiplicity: 3
- Dimension: 1450
- Dominant: No
\(\lambda=(26,21,7)\)
- Multiplicity: 236
- Dimension: 945
- Dominant: No
\(\lambda=(23,18,13)\)
- Multiplicity: 1070
- Dimension: 216
- Dominant: No
\(\lambda=(24,24,6)\)
- Multiplicity: 26
- Dimension: 190
- Dominant: No
\(\lambda=(33,14,7)\)
- Multiplicity: 24
- Dimension: 2240
- Dominant: No
\(\lambda=(29,22,3)\)
- Multiplicity: 3
- Dimension: 2240
- Dominant: No
\(\lambda=(28,16,10)\)
- Multiplicity: 542
- Dimension: 910
- Dominant: No
\(\lambda=(21,21,12)\)
- Multiplicity: 253
- Dimension: 55
- Dominant: No
\(\lambda=(31,17,6)\)
- Multiplicity: 50
- Dimension: 2430
- Dominant: No
\(\lambda=(26,19,9)\)
- Multiplicity: 645
- Dimension: 836
- Dominant: No
\(\lambda=(18,18,18)\)
- Multiplicity: 11
- Dimension: 1
- Dominant: No
\(\lambda=(23,16,15)\)
- Multiplicity: 519
- Dimension: 80
- Dominant: No
\(\lambda=(24,22,8)\)
- Multiplicity: 252
- Dimension: 405
- Dominant: No
\(\lambda=(33,12,9)\)
- Multiplicity: 26
- Dimension: 1144
- Dominant: No
\(\lambda=(29,20,5)\)
- Multiplicity: 44
- Dimension: 2080
- Dominant: No
\(\lambda=(28,14,12)\)
- Multiplicity: 368
- Dimension: 405
- Dominant: No
\(\lambda=(21,19,14)\)
- Multiplicity: 627
- Dimension: 81
- Dominant: No
\(\lambda=(31,15,8)\)
- Multiplicity: 115
- Dimension: 1700
- Dominant: No
\(\lambda=(27,23,4)\)
- Multiplicity: 14
- Dimension: 1250
- Dominant: No
\(\lambda=(26,17,11)\)
- Multiplicity: 935
- Dimension: 595
- Dominant: No
\(\lambda=(24,20,10)\)
- Multiplicity: 754
- Dimension: 440
- Dominant: No
\(\lambda=(29,18,7)\)
- Multiplicity: 183
- Dimension: 1728
- Dominant: No
\(\lambda=(21,17,16)\)
- Multiplicity: 351
- Dimension: 35
- Dominant: No
\(\lambda=(31,13,10)\)
- Multiplicity: 112
- Dimension: 874
- Dominant: No
\(\lambda=(36,11,7)\)
- Multiplicity: 1
- Dimension: 2015
- Dominant: Yes
\(\lambda=(32,19,3)\)
- Multiplicity: 1
- Dimension: 3689
- Dominant: Yes
\(\lambda=(27,21,6)\)
- Multiplicity: 122
- Dimension: 1288
- Dominant: No
\(\lambda=(26,15,13)\)
- Multiplicity: 621
- Dimension: 270
- Dominant: No
\(\lambda=(24,18,12)\)
- Multiplicity: 1128
- Dimension: 343
- Dominant: No
\(\lambda=(34,14,6)\)
- Multiplicity: 6
- Dimension: 2835
- Dominant: No
\(\lambda=(29,16,9)\)
- Multiplicity: 348
- Dimension: 1232
- Dominant: No
\(\lambda=(25,24,5)\)
- Multiplicity: 22
- Dimension: 440
- Dominant: No
\(\lambda=(22,21,11)\)
- Multiplicity: 445
- Dimension: 143
- Dominant: No
\(\lambda=(32,17,5)\)
- Multiplicity: 14
- Dimension: 3016
- Dominant: No
\(\lambda=(27,19,8)\)
- Multiplicity: 413
- Dimension: 1134
- Dominant: No
\(\lambda=(19,18,17)\)
- Multiplicity: 105
- Dimension: 8
- Dominant: No
\(\lambda=(24,16,14)\)
- Multiplicity: 754
- Dimension: 162
- Dominant: No
\(\lambda=(30,20,4)\)
- Multiplicity: 11
- Dimension: 2618
- Dominant: No
\(\lambda=(34,12,8)\)
- Multiplicity: 11
- Dimension: 1610
- Dominant: No
\(\lambda=(29,14,11)\)
- Multiplicity: 310
- Dimension: 640
- Dominant: No
\(\lambda=(25,22,7)\)
- Multiplicity: 185
- Dimension: 640
- Dominant: No
\(\lambda=(22,19,13)\)
- Multiplicity: 876
- Dimension: 154
- Dominant: No
\(\lambda=(32,15,7)\)
- Multiplicity: 48
- Dimension: 2187
- Dominant: No
\(\lambda=(28,23,3)\)
- Multiplicity: 3
- Dimension: 1701
- Dominant: No
\(\lambda=(27,17,10)\)
- Multiplicity: 718
- Dimension: 836
- Dominant: No
\(\lambda=(25,20,9)\)
- Multiplicity: 610
- Dimension: 648
- Dominant: No
\(\lambda=(30,18,6)\)
- Multiplicity: 75
- Dimension: 2197
- Dominant: No
\(\lambda=(34,10,10)\)
- Multiplicity: 3
- Dimension: 325
- Dominant: No
\(\lambda=(22,17,15)\)
- Multiplicity: 640
- Dimension: 81
- Dominant: No
\(\lambda=(23,23,8)\)
- Multiplicity: 89
- Dimension: 136
- Dominant: No
\(\lambda=(32,13,9)\)
- Multiplicity: 65
- Dimension: 1250
- Dominant: No
\(\lambda=(28,21,5)\)
- Multiplicity: 51
- Dimension: 1700
- Dominant: No
\(\lambda=(27,15,12)\)
- Multiplicity: 612
- Dimension: 442
- Dominant: No
\(\lambda=(20,20,14)\)
- Multiplicity: 224
- Dimension: 28
- Dominant: No
\(\lambda=(25,18,11)\)
- Multiplicity: 1043
- Dimension: 512
- Dominant: No
\(\lambda=(30,16,8)\)
- Multiplicity: 188
- Dimension: 1620
- Dominant: No
\(\lambda=(35,14,5)\)
- Multiplicity: 1
- Dimension: 3520
- Dominant: Yes
\(\lambda=(26,24,4)\)
- Multiplicity: 10
- Dimension: 756
- Dominant: No
\(\lambda=(23,21,10)\)
- Multiplicity: 520
- Dimension: 270
- Dominant: No
\(\lambda=(32,11,11)\)
- Multiplicity: 17
- Dimension: 253
- Dominant: No
\(\lambda=(33,17,4)\)
- Multiplicity: 2
- Dimension: 3689
- Dominant: Yes
\(\lambda=(28,19,7)\)
- Multiplicity: 226
- Dimension: 1495
- Dominant: No
\(\lambda=(20,18,16)\)
- Multiplicity: 298
- Dimension: 27
- Dominant: No
\(\lambda=(25,16,13)\)
- Multiplicity: 882
- Dimension: 280
- Dominant: No
\(\lambda=(30,14,10)\)
- Multiplicity: 218
- Dimension: 935
- Dominant: No
\(\lambda=(31,20,3)\)
- Multiplicity: 1
- Dimension: 3240
- Dominant: No
\(\lambda=(35,12,7)\)
- Multiplicity: 3
- Dimension: 2160
- Dominant: No
\(\lambda=(26,22,6)\)
- Multiplicity: 109
- Dimension: 935
- Dominant: No
\(\textbf{a}=(19,27,8)\)
- Multiplicity: 5163
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,22)\)
- Multiplicity: 132124
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,13)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,8)\)
- Multiplicity: 6675
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,22)\)
- Multiplicity: 8905
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,27)\)
- Multiplicity: 377
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,13)\)
- Multiplicity: 23708
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,8)\)
- Multiplicity: 146
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,27)\)
- Multiplicity: 21541
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,13)\)
- Multiplicity: 103329
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,27)\)
- Multiplicity: 5163
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,13)\)
- Multiplicity: 14026
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,18)\)
- Multiplicity: 8792
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,32)\)
- Multiplicity: 208
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,13)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,4)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,18)\)
- Multiplicity: 180827
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,32)\)
- Multiplicity: 361
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,4)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,18)\)
- Multiplicity: 84445
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,23)\)
- Multiplicity: 89
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,4)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,9)\)
- Multiplicity: 524
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,18)\)
- Multiplicity: 359
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,23)\)
- Multiplicity: 47223
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,9)\)
- Multiplicity: 14507
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,23)\)
- Multiplicity: 84445
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,14)\)
- Multiplicity: 361
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,9)\)
- Multiplicity: 8792
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,23)\)
- Multiplicity: 1530
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,28)\)
- Multiplicity: 840
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,14)\)
- Multiplicity: 56885
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,9)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,28)\)
- Multiplicity: 14026
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,14)\)
- Multiplicity: 117596
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,32,19)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,28)\)
- Multiplicity: 840
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,14)\)
- Multiplicity: 6732
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,19)\)
- Multiplicity: 23284
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,13,33)\)
- Multiplicity: 146
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,5)\)
- Multiplicity: 128
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,19)\)
- Multiplicity: 201003
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,6,33)\)
- Multiplicity: 39
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,5)\)
- Multiplicity: 447
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,19)\)
- Multiplicity: 41226
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,25,24)\)
- Multiplicity: 486
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,16,5)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,30,10)\)
- Multiplicity: 3001
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,4,19)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,18,24)\)
- Multiplicity: 55724
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,23,10)\)
- Multiplicity: 30665
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,11,24)\)
- Multiplicity: 41226
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,30,15)\)
- Multiplicity: 2220
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,16,10)\)
- Multiplicity: 8831
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,4,24)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,18,29)\)
- Multiplicity: 1295
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,23,15)\)
- Multiplicity: 107482
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,9,10)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,11,29)\)
- Multiplicity: 6732
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,16,15)\)
- Multiplicity: 107482
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,30,20)\)
- Multiplicity: 30
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,4,29)\)
- Multiplicity: 49
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,11,34)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,9,15)\)
- Multiplicity: 2220
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,35,6)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,23,20)\)
- Multiplicity: 47223
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,28,6)\)
- Multiplicity: 840
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,16,20)\)
- Multiplicity: 180827
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,35,11)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,21,6)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,9,20)\)
- Multiplicity: 14507
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,23,25)\)
- Multiplicity: 1530
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,28,11)\)
- Multiplicity: 11442
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,14,6)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,16,25)\)
- Multiplicity: 52175
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,21,11)\)
- Multiplicity: 50525
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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: 117596
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(26,19,9)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Multiplicity: 1927
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(16,19,19)\)
- Multiplicity: 187105
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- Error: 0
\(\textbf{a}=(14,7,33)\)
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- Error: 0
\(\textbf{a}=(25,24,5)\)
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- Error: 0
\(\textbf{a}=(23,12,19)\)
- Multiplicity: 66032
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- Error: 0
\(\textbf{a}=(4,26,24)\)
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- Error: 0
\(\textbf{a}=(32,17,5)\)
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- Error: 0
\(\textbf{a}=(13,31,10)\)
- Multiplicity: 1490
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- Error: 0
\(\textbf{a}=(30,5,19)\)
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- Error: 0
\(\textbf{a}=(11,19,24)\)
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- Error: 0
\(\textbf{a}=(20,24,10)\)
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- Error: 0
\(\textbf{a}=(18,12,24)\)
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- Error: 0
\(\textbf{a}=(8,31,15)\)
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- Error: 0
\(\textbf{a}=(27,17,10)\)
- Multiplicity: 13212
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- Error: 0
\(\textbf{a}=(25,5,24)\)
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- Error: 0
\(\textbf{a}=(6,19,29)\)
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- Error: 0
\(\textbf{a}=(15,24,15)\)
- Multiplicity: 81271
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- Error: 0
\(\textbf{a}=(34,10,10)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(22,17,15)\)
- Multiplicity: 132124
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- Error: 0
\(\textbf{a}=(3,31,20)\)
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- Error: 0
\(\textbf{a}=(20,5,29)\)
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- Error: 0
\(\textbf{a}=(8,12,34)\)
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- Error: 0
\(\textbf{a}=(29,10,15)\)
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- Error: 0
\(\textbf{a}=(10,24,20)\)
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- Error: 0
\(\textbf{a}=(19,29,6)\)
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- Error: 0
\(\textbf{a}=(17,17,20)\)
- Multiplicity: 187572
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- Error: 0
\(\textbf{a}=(15,5,34)\)
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- Error: 0
\(\textbf{a}=(7,36,11)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(26,22,6)\)
- Multiplicity: 1361
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- Error: 0
\(\textbf{a}=(24,10,20)\)
- Multiplicity: 27669
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,24,25)\)
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- Error: 0
\(\textbf{a}=(14,29,11)\)
- Multiplicity: 6732
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- Error: 0
\(\textbf{a}=(33,15,6)\)
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- Error: 0
\(\textbf{a}=(31,3,20)\)
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- Error: 0
\(\textbf{a}=(12,17,25)\)
- Multiplicity: 43806
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- Error: 0
\(\textbf{a}=(21,22,11)\)
- Multiplicity: 50525
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- Error: 0
\(\textbf{a}=(19,10,25)\)
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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
\(\textbf{a}=(22,13,19)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Multiplicity: 18220
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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: 180827
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- Error: 0
\(\textbf{a}=(25,23,6)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(13,30,11)\)
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- Error: 0
\(\textbf{a}=(32,16,6)\)
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- Error: 0
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- Error: 0
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\(\textbf{a}=(27,16,11)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Multiplicity: 1927
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- Error: 0
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- Error: 0
\(\textbf{a}=(33,7,14)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(28,7,19)\)
- Multiplicity: 1927
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- Error: 0
\(\textbf{a}=(9,21,24)\)
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- Error: 0
\(\textbf{a}=(18,26,10)\)
- Multiplicity: 18220
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- Error: 0
\(\textbf{a}=(16,14,24)\)
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- Error: 0
\(\textbf{a}=(6,33,15)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(4,21,29)\)
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- Error: 0
\(\textbf{a}=(13,26,15)\)
- Multiplicity: 36642
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- Error: 0
\(\textbf{a}=(32,12,10)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,19,15)\)
- Multiplicity: 161963
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- Error: 0
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- Error: 0
\(\textbf{a}=(6,14,34)\)
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- Error: 0
\(\textbf{a}=(27,12,15)\)
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- Error: 0
\(\textbf{a}=(8,26,20)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(34,5,15)\)
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- Error: 0
\(\textbf{a}=(17,31,6)\)
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- Error: 0
\(\textbf{a}=(15,19,20)\)
- Multiplicity: 161963
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\(\textbf{a}=(24,24,6)\)
- Multiplicity: 1590
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- Error: 0
\(\textbf{a}=(22,12,20)\)
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- Error: 0
\(\textbf{a}=(3,26,25)\)
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- Error: 0
\(\textbf{a}=(12,31,11)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(29,5,20)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(19,24,11)\)
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- Error: 0
\(\textbf{a}=(17,12,25)\)
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- Error: 0
\(\textbf{a}=(26,17,11)\)
- Multiplicity: 25372
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- Error: 0
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- Error: 0
\(\textbf{a}=(5,19,30)\)
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- Error: 0
\(\textbf{a}=(14,24,16)\)
- Multiplicity: 77977
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- Error: 0
\(\textbf{a}=(33,10,11)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(21,17,16)\)
- Multiplicity: 163195
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- Error: 0
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- Error: 0
\(\textbf{a}=(7,12,35)\)
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- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,16)\)
- Multiplicity: 8831
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,7)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,21)\)
- Multiplicity: 16687
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,5,35)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,7)\)
- Multiplicity: 1295
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,21)\)
- Multiplicity: 163195
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,7)\)
- Multiplicity: 3824
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,21)\)
- Multiplicity: 30665
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,26)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,12)\)
- Multiplicity: 7501
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,7)\)
- Multiplicity: 208
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,3,21)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,26)\)
- Multiplicity: 25372
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,12)\)
- Multiplicity: 73038
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,26)\)
- Multiplicity: 18220
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,12)\)
- Multiplicity: 21541
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,17)\)
- Multiplicity: 2409
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,26)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,31)\)
- Multiplicity: 199
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,17)\)
- Multiplicity: 132124
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,12)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,31)\)
- Multiplicity: 1490
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,17)\)
- Multiplicity: 132124
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,3)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,22)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,3,31)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,10,36)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,17)\)
- Multiplicity: 2409
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,3)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,34,8)\)
- Multiplicity: 48
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,22)\)
- Multiplicity: 31728
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{8,\lambda}(2,0;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{8,1}(2,0;6)\). 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 \(\beta_{8,\textbf{a}}(2,0;6)\). 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!