Current Betti Table Entry:
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(5,0,0) |
(10,1,0) |
(15,1,1) |
(19,3,1) |
(23,4,2) |
(27,4,4) |
(30,7,4) |
(33,9,5) |
(36,10,7) |
(39,10,10) |
(41,14,10) |
(43,17,11) |
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(54,45,32) |
(55,45,37) |
(55,49,39) |
(55,52,42) |
(55,54,46) |
(55,55,51) |
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\(\lambda=(26,22,11)\)
- Multiplicity: 771
- Dimension: 510
- Dominant: No
\(\lambda=(35,12,12)\)
- Multiplicity: 12
- Dimension: 300
- Dominant: No
\(\lambda=(36,18,5)\)
- Multiplicity: 1
- Dimension: 4389
- Dominant: Yes
\(\lambda=(31,20,8)\)
- Multiplicity: 171
- Dimension: 1950
- Dominant: No
\(\lambda=(23,19,17)\)
- Multiplicity: 620
- Dimension: 60
- Dominant: No
\(\lambda=(28,17,14)\)
- Multiplicity: 887
- Dimension: 384
- Dominant: No
\(\lambda=(33,15,11)\)
- Multiplicity: 140
- Dimension: 1140
- Dominant: No
\(\lambda=(34,21,4)\)
- Multiplicity: 1
- Dimension: 4032
- Dominant: Yes
\(\lambda=(38,13,8)\)
- Multiplicity: 1
- Dimension: 2496
- Dominant: No
\(\lambda=(29,23,7)\)
- Multiplicity: 98
- Dimension: 1428
- Dominant: No
\(\lambda=(26,20,13)\)
- Multiplicity: 1316
- Dimension: 420
- Dominant: No
\(\lambda=(27,26,6)\)
- Multiplicity: 16
- Dimension: 483
- Dominant: No
\(\lambda=(36,16,7)\)
- Multiplicity: 7
- Dimension: 3255
- Dominant: No
\(\lambda=(31,18,10)\)
- Multiplicity: 375
- Dimension: 1449
- Dominant: No
\(\lambda=(24,23,12)\)
- Multiplicity: 468
- Dimension: 168
- Dominant: No
\(\lambda=(33,13,13)\)
- Multiplicity: 36
- Dimension: 231
- Dominant: No
\(\lambda=(34,19,6)\)
- Multiplicity: 13
- Dimension: 3360
- Dominant: No
\(\lambda=(38,11,10)\)
- Multiplicity: 1
- Dimension: 840
- Dominant: No
\(\lambda=(29,21,9)\)
- Multiplicity: 384
- Dimension: 1287
- Dominant: No
\(\lambda=(21,20,18)\)
- Multiplicity: 212
- Dimension: 15
- Dominant: No
\(\lambda=(26,18,15)\)
- Multiplicity: 1113
- Dimension: 234
- Dominant: No
\(\lambda=(27,24,8)\)
- Multiplicity: 159
- Dimension: 714
- Dominant: No
\(\lambda=(32,22,5)\)
- Multiplicity: 9
- Dimension: 2871
- Dominant: No
\(\lambda=(36,14,9)\)
- Multiplicity: 15
- Dimension: 2001
- Dominant: No
\(\lambda=(31,16,12)\)
- Multiplicity: 409
- Dimension: 840
- Dominant: No
\(\lambda=(24,21,14)\)
- Multiplicity: 1054
- Dimension: 192
- Dominant: No
\(\lambda=(34,17,8)\)
- Multiplicity: 50
- Dimension: 2520
- Dominant: No
\(\lambda=(30,25,4)\)
- Multiplicity: 2
- Dimension: 1848
- Dominant: No
\(\lambda=(29,19,11)\)
- Multiplicity: 764
- Dimension: 990
- Dominant: No
\(\lambda=(27,22,10)\)
- Multiplicity: 594
- Dimension: 741
- Dominant: No
\(\lambda=(32,20,7)\)
- Multiplicity: 68
- Dimension: 2457
- Dominant: No
\(\lambda=(36,12,11)\)
- Multiplicity: 7
- Dimension: 675
- Dominant: No
\(\lambda=(31,14,14)\)
- Multiplicity: 116
- Dimension: 171
- Dominant: No
\(\lambda=(24,19,16)\)
- Multiplicity: 976
- Dimension: 120
- Dominant: No
\(\lambda=(25,25,9)\)
- Multiplicity: 76
- Dimension: 153
- Dominant: No
\(\lambda=(34,15,10)\)
- Multiplicity: 79
- Dimension: 1560
- Dominant: No
\(\lambda=(30,23,6)\)
- Multiplicity: 39
- Dimension: 1872
- Dominant: No
\(\lambda=(29,17,13)\)
- Multiplicity: 791
- Dimension: 585
- Dominant: No
\(\lambda=(22,22,15)\)
- Multiplicity: 300
- Dimension: 36
- Dominant: No
\(\lambda=(27,20,12)\)
- Multiplicity: 1152
- Dimension: 612
- Dominant: No
\(\lambda=(37,16,6)\)
- Multiplicity: 1
- Dimension: 3993
- Dominant: Yes
\(\lambda=(32,18,9)\)
- Multiplicity: 195
- Dimension: 1875
- Dominant: No
\(\lambda=(28,26,5)\)
- Multiplicity: 7
- Dimension: 825
- Dominant: No
\(\lambda=(25,23,11)\)
- Multiplicity: 513
- Dimension: 312
- Dominant: No
\(\lambda=(34,13,12)\)
- Multiplicity: 41
- Dimension: 528
- Dominant: No
\(\lambda=(35,19,5)\)
- Multiplicity: 2
- Dimension: 4080
- Dominant: No
\(\lambda=(30,21,8)\)
- Multiplicity: 204
- Dimension: 1680
- Dominant: No
\(\lambda=(29,15,15)\)
- Multiplicity: 194
- Dimension: 120
- Dominant: No
\(\lambda=(22,20,17)\)
- Multiplicity: 497
- Dimension: 42
- Dominant: No
\(\lambda=(27,18,14)\)
- Multiplicity: 1182
- Dimension: 375
- Dominant: No
\(\lambda=(33,22,4)\)
- Multiplicity: 1
- Dimension: 3534
- Dominant: No
\(\lambda=(37,14,8)\)
- Multiplicity: 5
- Dimension: 2604
- Dominant: No
\(\lambda=(32,16,11)\)
- Multiplicity: 266
- Dimension: 1173
- Dominant: No
\(\lambda=(28,24,7)\)
- Multiplicity: 89
- Dimension: 1035
- Dominant: No
\(\lambda=(25,21,13)\)
- Multiplicity: 1142
- Dimension: 315
- Dominant: No
\(\lambda=(35,17,7)\)
- Multiplicity: 14
- Dimension: 3135
- Dominant: No
\(\lambda=(30,19,10)\)
- Multiplicity: 496
- Dimension: 1320
- Dominant: No
\(\lambda=(27,16,16)\)
- Multiplicity: 316
- Dimension: 78
- Dominant: No
\(\lambda=(33,20,6)\)
- Multiplicity: 21
- Dimension: 3045
- Dominant: No
\(\lambda=(37,12,10)\)
- Multiplicity: 5
- Dimension: 1131
- Dominant: No
\(\lambda=(32,14,13)\)
- Multiplicity: 134
- Dimension: 399
- Dominant: No
\(\lambda=(28,22,9)\)
- Multiplicity: 392
- Dimension: 1029
- Dominant: No
\(\lambda=(25,19,15)\)
- Multiplicity: 1223
- Dimension: 210
- Dominant: No
\(\lambda=(26,25,8)\)
- Multiplicity: 87
- Dimension: 360
- Dominant: No
\(\lambda=(35,15,9)\)
- Multiplicity: 32
- Dimension: 2058
- Dominant: No
\(\lambda=(31,23,5)\)
- Multiplicity: 10
- Dimension: 2394
- Dominant: No
\(\lambda=(30,17,12)\)
- Multiplicity: 626
- Dimension: 840
- Dominant: No
\(\lambda=(23,22,14)\)
- Multiplicity: 591
- Dimension: 99
- Dominant: No
\(\lambda=(33,18,8)\)
- Multiplicity: 86
- Dimension: 2376
- Dominant: No
\(\lambda=(29,26,4)\)
- Multiplicity: 1
- Dimension: 1242
- Dominant: No
\(\lambda=(28,20,11)\)
- Multiplicity: 883
- Dimension: 855
- Dominant: No
\(\lambda=(25,17,17)\)
- Multiplicity: 310
- Dimension: 45
- Dominant: No
\(\lambda=(26,23,10)\)
- Multiplicity: 459
- Dimension: 504
- Dominant: No
\(\lambda=(35,13,11)\)
- Multiplicity: 24
- Dimension: 897
- Dominant: No
\(\lambda=(31,21,7)\)
- Multiplicity: 86
- Dimension: 2145
- Dominant: No
\(\lambda=(30,15,14)\)
- Multiplicity: 297
- Dimension: 288
- Dominant: No
\(\lambda=(23,20,16)\)
- Multiplicity: 841
- Dimension: 90
- Dominant: No
\(\lambda=(28,18,13)\)
- Multiplicity: 1078
- Dimension: 561
- Dominant: No
\(\lambda=(33,16,10)\)
- Multiplicity: 153
- Dimension: 1575
- Dominant: No
\(\lambda=(38,14,7)\)
- Multiplicity: 1
- Dimension: 3300
- Dominant: Yes
\(\lambda=(29,24,6)\)
- Multiplicity: 37
- Dimension: 1425
- Dominant: No
\(\lambda=(26,21,12)\)
- Multiplicity: 1084
- Dimension: 480
- Dominant: No
\(\lambda=(27,27,5)\)
- Multiplicity: 2
- Dimension: 276
- Dominant: No
\(\lambda=(36,17,6)\)
- Multiplicity: 3
- Dimension: 3840
- Dominant: No
\(\lambda=(31,19,9)\)
- Multiplicity: 269
- Dimension: 1716
- Dominant: No
\(\lambda=(23,18,18)\)
- Multiplicity: 245
- Dimension: 21
- Dominant: No
\(\lambda=(24,24,11)\)
- Multiplicity: 191
- Dimension: 105
- Dominant: No
\(\lambda=(28,16,15)\)
- Multiplicity: 503
- Dimension: 195
- Dominant: No
\(\lambda=(33,14,12)\)
- Multiplicity: 114
- Dimension: 690
- Dominant: No
\(\lambda=(34,20,5)\)
- Multiplicity: 4
- Dimension: 3720
- Dominant: No
\(\lambda=(38,12,9)\)
- Multiplicity: 1
- Dimension: 1674
- Dominant: No
\(\lambda=(29,22,8)\)
- Multiplicity: 219
- Dimension: 1380
- Dominant: No
\(\lambda=(21,21,17)\)
- Multiplicity: 176
- Dimension: 15
- Dominant: No
\(\lambda=(26,19,14)\)
- Multiplicity: 1343
- Dimension: 336
- Dominant: No
\(\lambda=(27,25,7)\)
- Multiplicity: 57
- Dimension: 627
- Dominant: No
\(\lambda=(32,23,4)\)
- Multiplicity: 1
- Dimension: 3000
- Dominant: No
\(\lambda=(36,15,8)\)
- Multiplicity: 11
- Dimension: 2640
- Dominant: No
\(\lambda=(31,17,11)\)
- Multiplicity: 417
- Dimension: 1155
- Dominant: No
\(\lambda=(24,22,13)\)
- Multiplicity: 800
- Dimension: 195
- Dominant: No
\(\lambda=(34,18,7)\)
- Multiplicity: 29
- Dimension: 2958
- Dominant: No
\(\lambda=(29,20,10)\)
- Multiplicity: 596
- Dimension: 1155
- Dominant: No
\(\lambda=(21,19,19)\)
- Multiplicity: 82
- Dimension: 6
- Dominant: No
\(\lambda=(26,17,16)\)
- Multiplicity: 632
- Dimension: 120
- Dominant: No
\(\lambda=(27,23,9)\)
- Multiplicity: 330
- Dimension: 750
- Dominant: No
\(\lambda=(32,21,6)\)
- Multiplicity: 29
- Dimension: 2688
- Dominant: No
\(\lambda=(36,13,10)\)
- Multiplicity: 14
- Dimension: 1344
- Dominant: No
\(\lambda=(31,15,13)\)
- Multiplicity: 284
- Dimension: 510
- Dominant: No
\(\lambda=(24,20,15)\)
- Multiplicity: 1145
- Dimension: 165
- Dominant: No
\(\lambda=(34,16,9)\)
- Multiplicity: 70
- Dimension: 2052
- Dominant: No
\(\lambda=(30,24,5)\)
- Multiplicity: 11
- Dimension: 1890
- Dominant: No
\(\lambda=(29,18,12)\)
- Multiplicity: 868
- Dimension: 798
- Dominant: No
\(\lambda=(27,21,11)\)
- Multiplicity: 877
- Dimension: 693
- Dominant: No
\(\lambda=(32,19,8)\)
- Multiplicity: 127
- Dimension: 2184
- Dominant: No
\(\lambda=(28,27,4)\)
- Multiplicity: 1
- Dimension: 624
- Dominant: No
\(\lambda=(24,18,17)\)
- Multiplicity: 565
- Dimension: 63
- Dominant: No
\(\lambda=(25,24,10)\)
- Multiplicity: 254
- Dimension: 255
- Dominant: No
\(\lambda=(34,14,11)\)
- Multiplicity: 70
- Dimension: 1050
- Dominant: No
\(\lambda=(30,22,7)\)
- Multiplicity: 101
- Dimension: 1800
- Dominant: No
\(\lambda=(29,16,14)\)
- Multiplicity: 581
- Dimension: 357
- Dominant: No
\(\lambda=(22,21,16)\)
- Multiplicity: 483
- Dimension: 48
- Dominant: No
\(\lambda=(27,19,13)\)
- Multiplicity: 1259
- Dimension: 504
- Dominant: No
\(\lambda=(37,15,7)\)
- Multiplicity: 2
- Dimension: 3312
- Dominant: No
\(\lambda=(32,17,10)\)
- Multiplicity: 249
- Dimension: 1536
- Dominant: No
\(\lambda=(28,25,6)\)
- Multiplicity: 29
- Dimension: 960
- Dominant: No
\(\lambda=(25,22,12)\)
- Multiplicity: 854
- Dimension: 330
- Dominant: No
\(\lambda=(39,10,10)\)
- Multiplicity: 1
- Dimension: 465
- Dominant: Yes
\(\lambda=(35,18,6)\)
- Multiplicity: 7
- Dimension: 3627
- Dominant: No
\(\lambda=(30,20,9)\)
- Multiplicity: 346
- Dimension: 1518
- Dominant: No
\(\lambda=(22,19,18)\)
- Multiplicity: 308
- Dimension: 24
- Dominant: No
\(\lambda=(27,17,15)\)
- Multiplicity: 819
- Dimension: 231
- Dominant: No
\(\lambda=(33,21,5)\)
- Multiplicity: 6
- Dimension: 3315
- Dominant: No
\(\lambda=(37,13,9)\)
- Multiplicity: 4
- Dimension: 1875
- Dominant: No
\(\lambda=(32,15,12)\)
- Multiplicity: 226
- Dimension: 792
- Dominant: No
\(\lambda=(28,23,8)\)
- Multiplicity: 203
- Dimension: 1056
- Dominant: No
\(\lambda=(25,20,14)\)
- Multiplicity: 1321
- Dimension: 273
- Dominant: No
\(\lambda=(26,26,7)\)
- Multiplicity: 22
- Dimension: 210
- Dominant: No
\(\lambda=(35,16,8)\)
- Multiplicity: 27
- Dimension: 2610
- Dominant: No
\(\lambda=(31,24,4)\)
- Multiplicity: 2
- Dimension: 2436
- Dominant: No
\(\lambda=(30,18,11)\)
- Multiplicity: 606
- Dimension: 1092
- Dominant: No
\(\lambda=(23,23,13)\)
- Multiplicity: 273
- Dimension: 66
- Dominant: No
\(\lambda=(33,19,7)\)
- Multiplicity: 46
- Dimension: 2730
- Dominant: No
\(\lambda=(28,21,10)\)
- Multiplicity: 633
- Dimension: 960
- Dominant: No
\(\lambda=(20,20,19)\)
- Multiplicity: 50
- Dimension: 3
- Dominant: No
\(\lambda=(25,18,16)\)
- Multiplicity: 899
- Dimension: 132
- Dominant: No
\(\lambda=(26,24,9)\)
- Multiplicity: 230
- Dimension: 456
- Dominant: No
\(\lambda=(35,14,10)\)
- Multiplicity: 39
- Dimension: 1485
- Dominant: No
\(\lambda=(31,22,6)\)
- Multiplicity: 36
- Dimension: 2295
- Dominant: No
\(\lambda=(30,16,13)\)
- Multiplicity: 525
- Dimension: 570
- Dominant: No
\(\lambda=(23,21,15)\)
- Multiplicity: 794
- Dimension: 105
- Dominant: No
\(\lambda=(28,19,12)\)
- Multiplicity: 1056
- Dimension: 720
- Dominant: No
\(\lambda=(33,17,9)\)
- Multiplicity: 120
- Dimension: 1989
- Dominant: No
\(\lambda=(29,25,5)\)
- Multiplicity: 9
- Dimension: 1365
- Dominant: No
\(\textbf{a}=(12,34,13)\)
- Multiplicity: 906
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,20,8)\)
- Multiplicity: 1212
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,22)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,27)\)
- Multiplicity: 13637
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,13)\)
- Multiplicity: 46503
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,13,8)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,27)\)
- Multiplicity: 65474
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,32)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,13)\)
- Multiplicity: 58385
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,18)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,27)\)
- Multiplicity: 3287
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,32)\)
- Multiplicity: 4172
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,13)\)
- Multiplicity: 2196
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,18)\)
- Multiplicity: 57691
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,32,4)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,18)\)
- Multiplicity: 243857
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,32)\)
- Multiplicity: 767
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,37)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,25,4)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,18)\)
- Multiplicity: 34555
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,23)\)
- Multiplicity: 7185
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,37)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,18)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,32,9)\)
- Multiplicity: 1449
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,23)\)
- Multiplicity: 172658
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,25,9)\)
- Multiplicity: 8203
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,23)\)
- Multiplicity: 77768
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,28)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,14)\)
- Multiplicity: 4670
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,18,9)\)
- Multiplicity: 1449
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,23)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,28)\)
- Multiplicity: 18115
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,14)\)
- Multiplicity: 90944
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,28)\)
- Multiplicity: 34555
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,33)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,14)\)
- Multiplicity: 57691
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,19)\)
- Multiplicity: 767
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,28)\)
- Multiplicity: 350
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,33)\)
- Multiplicity: 2196
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,14)\)
- Multiplicity: 797
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,19)\)
- Multiplicity: 110865
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,33)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,30,5)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,19)\)
- Multiplicity: 228331
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,13,38)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,23,5)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,37,10)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,19)\)
- Multiplicity: 13386
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,24)\)
- Multiplicity: 16577
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,30,10)\)
- Multiplicity: 6050
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,24)\)
- Multiplicity: 163660
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,37,15)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,23,10)\)
- Multiplicity: 15535
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,24)\)
- Multiplicity: 30479
- 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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- 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
\(\textbf{a}=(26,19,14)\)
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- Multiplicity: 1125
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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
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- Error: 0
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- Error: 0
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- Error: 0
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- Multiplicity: 252441
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- Error: 0
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- Error: 0
\(\textbf{a}=(28,24,7)\)
- Multiplicity: 1125
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- Error: 0
\(\textbf{a}=(26,12,21)\)
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- Error: 0
\(\textbf{a}=(16,31,12)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(23,24,12)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(30,17,12)\)
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- Error: 0
\(\textbf{a}=(28,5,26)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(18,24,17)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(25,17,17)\)
- Multiplicity: 129688
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- Error: 0
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- Error: 0
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- Error: 0
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- Multiplicity: 2354
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- Error: 0
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- Error: 0
\(\textbf{a}=(13,24,22)\)
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- Error: 0
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- Error: 0
\(\textbf{a}=(20,17,22)\)
- Multiplicity: 212580
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- Error: 0
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- Error: 0
\(\textbf{a}=(27,10,22)\)
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- Error: 0
\(\textbf{a}=(8,24,27)\)
- Multiplicity: 3287
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(15,17,27)\)
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- Error: 0
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- Multiplicity: 75374
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- Error: 0
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- Error: 0
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- Multiplicity: 18808
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- Error: 0
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- Error: 0
\(\textbf{a}=(19,22,18)\)
- Multiplicity: 228331
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- Error: 0
\(\textbf{a}=(17,10,32)\)
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- Error: 0
\(\textbf{a}=(28,27,4)\)
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- Error: 0
\(\textbf{a}=(26,15,18)\)
- Multiplicity: 88271
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- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(28,23,8)\)
- Multiplicity: 2865
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,11,22)\)
- Multiplicity: 26811
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,25,27)\)
- Multiplicity: 1249
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,13)\)
- Multiplicity: 15162
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,16,8)\)
- Multiplicity: 98
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,4,22)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,18,27)\)
- Multiplicity: 57691
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,13)\)
- Multiplicity: 77768
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,11,27)\)
- Multiplicity: 22790
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,32)\)
- Multiplicity: 1449
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,13)\)
- Multiplicity: 15162
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,30,18)\)
- Multiplicity: 9177
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,27)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,9,13)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,18)\)
- Multiplicity: 200023
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,32)\)
- Multiplicity: 3329
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,28,4)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,18)\)
- Multiplicity: 124770
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,23)\)
- Multiplicity: 239
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,4,32)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,11,37)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,18)\)
- Multiplicity: 1449
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,21,4)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,35,9)\)
- Multiplicity: 170
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,23)\)
- Multiplicity: 77768
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,28,9)\)
- Multiplicity: 6082
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,23)\)
- Multiplicity: 172658
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,35,14)\)
- Multiplicity: 257
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,21,9)\)
- Multiplicity: 4785
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,23)\)
- Multiplicity: 7185
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,28)\)
- Multiplicity: 2865
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,14)\)
- Multiplicity: 41316
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,14,9)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,28)\)
- Multiplicity: 45123
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,14)\)
- Multiplicity: 103315
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,19)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,28)\)
- Multiplicity: 6082
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,33)\)
- Multiplicity: 1272
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,14)\)
- Multiplicity: 9319
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,19)\)
- Multiplicity: 26310
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,33)\)
- Multiplicity: 803
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,7,14)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,33,5)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,19)\)
- Multiplicity: 252441
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,26,5)\)
- Multiplicity: 76
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,19)\)
- Multiplicity: 74948
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,24)\)
- Multiplicity: 1125
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,9,38)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,19,5)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,33,10)\)
- Multiplicity: 1272
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,19)\)
- Multiplicity: 194
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,24)\)
- Multiplicity: 103315
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,26,10)\)
- Multiplicity: 15535
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,24)\)
- Multiplicity: 103315
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,15)\)
- Multiplicity: 1723
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,19,10)\)
- Multiplicity: 6050
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,24)\)
- Multiplicity: 1125
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,29)\)
- Multiplicity: 4785
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,15)\)
- Multiplicity: 88271
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,12,10)\)
- Multiplicity: 25
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,29)\)
- Multiplicity: 27412
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,21,34)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,15)\)
- Multiplicity: 110865
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,20)\)
- Multiplicity: 68
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,29)\)
- Multiplicity: 937
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,34)\)
- Multiplicity: 797
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,15)\)
- Multiplicity: 4172
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,20)\)
- Multiplicity: 58385
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,34)\)
- Multiplicity: 100
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,31,6)\)
- Multiplicity: 174
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,20)\)
- Multiplicity: 261064
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,24,6)\)
- Multiplicity: 301
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,38,11)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,20)\)
- Multiplicity: 34226
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,25)\)
- Multiplicity: 3517
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,17,6)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,31,11)\)
- Multiplicity: 5777
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,20)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,25)\)
- Multiplicity: 110865
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,11)\)
- Multiplicity: 30479
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,25)\)
- Multiplicity: 47223
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,16)\)
- Multiplicity: 7553
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,17,11)\)
- Multiplicity: 5777
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,25)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,30)\)
- Multiplicity: 6050
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,16)\)
- Multiplicity: 151738
- Dimension: 1
- Error: 0
\(\textbf{a}=(38,10,11)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,30)\)
- Multiplicity: 12432
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,35)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,16)\)
- Multiplicity: 95737
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,21)\)
- Multiplicity: 515
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,30)\)
- Multiplicity: 55
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,35)\)
- Multiplicity: 339
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,16)\)
- Multiplicity: 1272
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,36,7)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,21)\)
- Multiplicity: 103315
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,5,35)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,29,7)\)
- Multiplicity: 937
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,21)\)
- Multiplicity: 219533
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,36,12)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,22,7)\)
- Multiplicity: 727
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,21)\)
- Multiplicity: 11182
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,26)\)
- Multiplicity: 7943
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,12)\)
- Multiplicity: 18808
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,15,7)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,26)\)
- Multiplicity: 95737
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,17)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,12)\)
- Multiplicity: 47223
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,26)\)
- Multiplicity: 15535
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,31)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,17)\)
- Multiplicity: 23808
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,12)\)
- Multiplicity: 4172
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,31)\)
- Multiplicity: 5777
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,17)\)
- Multiplicity: 212580
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,31)\)
- Multiplicity: 3949
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,36)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,17)\)
- Multiplicity: 65474
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,22)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,36)\)
- Multiplicity: 90
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,17)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,34,8)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,22)\)
- Multiplicity: 147983
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,27,8)\)
- Multiplicity: 3287
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,22)\)
- Multiplicity: 147983
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{9,\lambda}(2,5;6)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{9,0}(2,5;6)\). 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 \(\beta_{9,\textbf{a}}(2,5;6)\). 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!