Current Betti Table Entry:
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(5,0,0) |
(11,1,0) |
(17,1,1) |
(22,3,1) |
(27,4,2) |
(32,4,4) |
(36,7,4) |
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(75,47,30) |
(77,47,35) |
(78,52,36) |
(79,56,38) |
(80,59,41) |
(81,61,45) |
(82,62,50) |
(83,62,56) |
(83,68,57) |
(83,73,59) |
(83,77,62) |
(83,80,66) |
(83,82,71) |
(83,83,77) |
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344 |
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95 |
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\(\lambda=(20,16,11)\)
- Multiplicity: 499
- Dimension: 165
- Dominant: No
\(\lambda=(30,12,5)\)
- Multiplicity: 76
- Dimension: 2052
- Dominant: No
\(\lambda=(26,20,1)\)
- Multiplicity: 2
- Dimension: 1890
- Dominant: No
\(\lambda=(25,14,8)\)
- Multiplicity: 505
- Dimension: 798
- Dominant: No
\(\lambda=(23,17,7)\)
- Multiplicity: 475
- Dimension: 693
- Dominant: No
\(\lambda=(28,15,4)\)
- Multiplicity: 101
- Dimension: 2184
- Dominant: No
\(\lambda=(20,14,13)\)
- Multiplicity: 241
- Dimension: 63
- Dominant: No
\(\lambda=(21,20,6)\)
- Multiplicity: 130
- Dimension: 255
- Dominant: No
\(\lambda=(30,10,7)\)
- Multiplicity: 78
- Dimension: 1050
- Dominant: No
\(\lambda=(35,8,4)\)
- Multiplicity: 2
- Dimension: 2310
- Dominant: No
\(\lambda=(26,18,3)\)
- Multiplicity: 56
- Dimension: 1800
- Dominant: No
\(\lambda=(25,12,10)\)
- Multiplicity: 331
- Dimension: 357
- Dominant: No
\(\lambda=(18,17,12)\)
- Multiplicity: 202
- Dimension: 48
- Dominant: No
\(\lambda=(23,15,9)\)
- Multiplicity: 653
- Dimension: 504
- Dominant: No
\(\lambda=(33,11,3)\)
- Multiplicity: 6
- Dimension: 3312
- Dominant: No
\(\lambda=(28,13,6)\)
- Multiplicity: 204
- Dimension: 1536
- Dominant: No
\(\lambda=(24,21,2)\)
- Multiplicity: 13
- Dimension: 960
- Dominant: No
\(\lambda=(21,18,8)\)
- Multiplicity: 410
- Dimension: 330
- Dominant: No
\(\lambda=(31,14,2)\)
- Multiplicity: 6
- Dimension: 3627
- Dominant: No
\(\lambda=(26,16,5)\)
- Multiplicity: 220
- Dimension: 1518
- Dominant: No
\(\lambda=(18,15,14)\)
- Multiplicity: 125
- Dimension: 24
- Dominant: No
\(\lambda=(23,13,11)\)
- Multiplicity: 421
- Dimension: 231
- Dominant: No
\(\lambda=(29,17,1)\)
- Multiplicity: 2
- Dimension: 3315
- Dominant: No
\(\lambda=(33,9,5)\)
- Multiplicity: 13
- Dimension: 1875
- Dominant: No
\(\lambda=(28,11,8)\)
- Multiplicity: 185
- Dimension: 792
- Dominant: No
\(\lambda=(24,19,4)\)
- Multiplicity: 115
- Dimension: 1056
- Dominant: No
\(\lambda=(21,16,10)\)
- Multiplicity: 608
- Dimension: 273
- Dominant: No
\(\lambda=(22,22,3)\)
- Multiplicity: 8
- Dimension: 210
- Dominant: No
\(\lambda=(31,12,4)\)
- Multiplicity: 36
- Dimension: 2610
- Dominant: No
\(\lambda=(26,14,7)\)
- Multiplicity: 387
- Dimension: 1092
- Dominant: No
\(\lambda=(19,19,9)\)
- Multiplicity: 135
- Dimension: 66
- Dominant: No
\(\lambda=(29,15,3)\)
- Multiplicity: 39
- Dimension: 2730
- Dominant: No
\(\lambda=(33,7,7)\)
- Multiplicity: 6
- Dimension: 378
- Dominant: No
\(\lambda=(24,17,6)\)
- Multiplicity: 358
- Dimension: 960
- Dominant: No
\(\lambda=(16,16,15)\)
- Multiplicity: 17
- Dimension: 3
- Dominant: No
\(\lambda=(21,14,12)\)
- Multiplicity: 396
- Dimension: 132
- Dominant: No
\(\lambda=(22,20,5)\)
- Multiplicity: 116
- Dimension: 456
- Dominant: No
\(\lambda=(31,10,6)\)
- Multiplicity: 50
- Dimension: 1485
- Dominant: No
\(\lambda=(27,18,2)\)
- Multiplicity: 18
- Dimension: 2295
- Dominant: No
\(\lambda=(26,12,9)\)
- Multiplicity: 331
- Dimension: 570
- Dominant: No
\(\lambda=(19,17,11)\)
- Multiplicity: 354
- Dimension: 105
- Dominant: No
\(\lambda=(29,13,5)\)
- Multiplicity: 117
- Dimension: 1989
- Dominant: No
\(\lambda=(34,11,2)\)
- Multiplicity: 1
- Dimension: 4080
- Dominant: Yes
\(\lambda=(25,21,1)\)
- Multiplicity: 3
- Dimension: 1365
- Dominant: No
\(\lambda=(24,15,8)\)
- Multiplicity: 579
- Dimension: 720
- Dominant: No
\(\lambda=(22,18,7)\)
- Multiplicity: 383
- Dimension: 510
- Dominant: No
\(\lambda=(31,8,8)\)
- Multiplicity: 14
- Dimension: 300
- Dominant: No
\(\lambda=(27,16,4)\)
- Multiplicity: 118
- Dimension: 1950
- Dominant: No
\(\lambda=(19,15,13)\)
- Multiplicity: 268
- Dimension: 60
- Dominant: No
\(\lambda=(29,11,7)\)
- Multiplicity: 142
- Dimension: 1140
- Dominant: No
\(\lambda=(34,9,4)\)
- Multiplicity: 6
- Dimension: 2496
- Dominant: No
\(\lambda=(25,19,3)\)
- Multiplicity: 57
- Dimension: 1428
- Dominant: No
\(\lambda=(24,13,10)\)
- Multiplicity: 478
- Dimension: 384
- Dominant: No
\(\lambda=(22,16,9)\)
- Multiplicity: 635
- Dimension: 420
- Dominant: No
\(\lambda=(23,22,2)\)
- Multiplicity: 7
- Dimension: 483
- Dominant: No
\(\lambda=(32,12,3)\)
- Multiplicity: 10
- Dimension: 3255
- Dominant: No
\(\lambda=(27,14,6)\)
- Multiplicity: 265
- Dimension: 1449
- Dominant: No
\(\lambda=(20,19,8)\)
- Multiplicity: 223
- Dimension: 168
- Dominant: No
\(\lambda=(29,9,9)\)
- Multiplicity: 38
- Dimension: 231
- Dominant: No
\(\lambda=(30,15,2)\)
- Multiplicity: 10
- Dimension: 3360
- Dominant: No
\(\lambda=(34,7,6)\)
- Multiplicity: 4
- Dimension: 840
- Dominant: No
\(\lambda=(25,17,5)\)
- Multiplicity: 238
- Dimension: 1287
- Dominant: No
\(\lambda=(17,16,14)\)
- Multiplicity: 84
- Dimension: 15
- Dominant: No
\(\lambda=(22,14,11)\)
- Multiplicity: 523
- Dimension: 234
- Dominant: No
\(\lambda=(23,20,4)\)
- Multiplicity: 86
- Dimension: 714
- Dominant: No
\(\lambda=(28,18,1)\)
- Multiplicity: 2
- Dimension: 2871
- Dominant: No
\(\lambda=(32,10,5)\)
- Multiplicity: 25
- Dimension: 2001
- Dominant: No
\(\lambda=(27,12,8)\)
- Multiplicity: 286
- Dimension: 840
- Dominant: No
\(\lambda=(20,17,10)\)
- Multiplicity: 476
- Dimension: 192
- Dominant: No
\(\lambda=(30,13,4)\)
- Multiplicity: 56
- Dimension: 2520
- Dominant: No
\(\lambda=(25,15,7)\)
- Multiplicity: 464
- Dimension: 990
- Dominant: No
\(\lambda=(23,18,6)\)
- Multiplicity: 317
- Dimension: 741
- Dominant: No
\(\lambda=(32,8,7)\)
- Multiplicity: 16
- Dimension: 675
- Dominant: No
\(\lambda=(28,16,3)\)
- Multiplicity: 46
- Dimension: 2457
- Dominant: No
\(\lambda=(27,10,10)\)
- Multiplicity: 74
- Dimension: 171
- Dominant: No
\(\lambda=(20,15,12)\)
- Multiplicity: 423
- Dimension: 120
- Dominant: No
\(\lambda=(21,21,5)\)
- Multiplicity: 47
- Dimension: 153
- Dominant: No
\(\lambda=(30,11,6)\)
- Multiplicity: 91
- Dimension: 1560
- Dominant: No
\(\lambda=(35,9,3)\)
- Multiplicity: 1
- Dimension: 3213
- Dominant: Yes
\(\lambda=(26,19,2)\)
- Multiplicity: 19
- Dimension: 1872
- Dominant: No
\(\lambda=(25,13,9)\)
- Multiplicity: 471
- Dimension: 585
- Dominant: No
\(\lambda=(18,18,11)\)
- Multiplicity: 118
- Dimension: 36
- Dominant: No
\(\lambda=(23,16,8)\)
- Multiplicity: 594
- Dimension: 612
- Dominant: No
\(\lambda=(33,12,2)\)
- Multiplicity: 2
- Dimension: 3993
- Dominant: No
\(\lambda=(28,14,5)\)
- Multiplicity: 153
- Dimension: 1875
- Dominant: No
\(\lambda=(24,22,1)\)
- Multiplicity: 1
- Dimension: 825
- Dominant: No
\(\lambda=(21,19,7)\)
- Multiplicity: 266
- Dimension: 312
- Dominant: No
\(\lambda=(30,9,8)\)
- Multiplicity: 46
- Dimension: 528
- Dominant: No
\(\lambda=(35,7,5)\)
- Multiplicity: 2
- Dimension: 1392
- Dominant: No
\(\lambda=(31,15,1)\)
- Multiplicity: 1
- Dimension: 4080
- Dominant: Yes
\(\lambda=(26,17,4)\)
- Multiplicity: 131
- Dimension: 1680
- Dominant: No
\(\lambda=(25,11,11)\)
- Multiplicity: 124
- Dimension: 120
- Dominant: No
\(\lambda=(18,16,13)\)
- Multiplicity: 200
- Dimension: 42
- Dominant: No
\(\lambda=(23,14,10)\)
- Multiplicity: 590
- Dimension: 375
- Dominant: No
\(\lambda=(33,10,4)\)
- Multiplicity: 11
- Dimension: 2604
- Dominant: No
\(\lambda=(28,12,7)\)
- Multiplicity: 214
- Dimension: 1173
- Dominant: No
\(\lambda=(24,20,3)\)
- Multiplicity: 43
- Dimension: 1035
- Dominant: No
\(\lambda=(21,17,9)\)
- Multiplicity: 551
- Dimension: 315
- Dominant: No
\(\lambda=(31,13,3)\)
- Multiplicity: 19
- Dimension: 3135
- Dominant: No
\(\lambda=(26,15,6)\)
- Multiplicity: 323
- Dimension: 1320
- Dominant: No
\(\lambda=(23,12,12)\)
- Multiplicity: 147
- Dimension: 78
- Dominant: No
\(\lambda=(29,16,2)\)
- Multiplicity: 13
- Dimension: 3045
- Dominant: No
\(\lambda=(33,8,6)\)
- Multiplicity: 11
- Dimension: 1131
- Dominant: No
\(\lambda=(28,10,9)\)
- Multiplicity: 104
- Dimension: 399
- Dominant: No
\(\lambda=(24,18,5)\)
- Multiplicity: 216
- Dimension: 1029
- Dominant: No
\(\lambda=(21,15,11)\)
- Multiplicity: 567
- Dimension: 210
- Dominant: No
\(\lambda=(22,21,4)\)
- Multiplicity: 47
- Dimension: 360
- Dominant: No
\(\lambda=(31,11,5)\)
- Multiplicity: 49
- Dimension: 2058
- Dominant: No
\(\lambda=(27,19,1)\)
- Multiplicity: 3
- Dimension: 2394
- Dominant: No
\(\lambda=(26,13,8)\)
- Multiplicity: 403
- Dimension: 840
- Dominant: No
\(\lambda=(19,18,10)\)
- Multiplicity: 258
- Dimension: 99
- Dominant: No
\(\lambda=(29,14,4)\)
- Multiplicity: 76
- Dimension: 2376
- Dominant: No
\(\lambda=(24,16,7)\)
- Multiplicity: 484
- Dimension: 855
- Dominant: No
\(\lambda=(21,13,13)\)
- Multiplicity: 148
- Dimension: 45
- Dominant: No
\(\lambda=(22,19,6)\)
- Multiplicity: 240
- Dimension: 504
- Dominant: No
\(\lambda=(31,9,7)\)
- Multiplicity: 41
- Dimension: 897
- Dominant: No
\(\lambda=(36,7,4)\)
- Multiplicity: 1
- Dimension: 2040
- Dominant: Yes
\(\lambda=(27,17,3)\)
- Multiplicity: 57
- Dimension: 2145
- Dominant: No
\(\lambda=(26,11,10)\)
- Multiplicity: 192
- Dimension: 288
- Dominant: No
\(\lambda=(19,16,12)\)
- Multiplicity: 352
- Dimension: 90
- Dominant: No
\(\lambda=(29,12,6)\)
- Multiplicity: 141
- Dimension: 1575
- Dominant: No
\(\lambda=(34,10,3)\)
- Multiplicity: 2
- Dimension: 3300
- Dominant: No
\(\lambda=(25,20,2)\)
- Multiplicity: 17
- Dimension: 1425
- Dominant: No
\(\lambda=(24,14,9)\)
- Multiplicity: 578
- Dimension: 561
- Dominant: No
\(\lambda=(22,17,8)\)
- Multiplicity: 541
- Dimension: 480
- Dominant: No
\(\lambda=(23,23,1)\)
- Multiplicity: 1
- Dimension: 276
- Dominant: No
\(\lambda=(32,13,2)\)
- Multiplicity: 4
- Dimension: 3840
- Dominant: No
\(\lambda=(27,15,5)\)
- Multiplicity: 197
- Dimension: 1716
- Dominant: No
\(\lambda=(19,14,14)\)
- Multiplicity: 94
- Dimension: 21
- Dominant: No
\(\lambda=(20,20,7)\)
- Multiplicity: 84
- Dimension: 105
- Dominant: No
\(\lambda=(24,12,11)\)
- Multiplicity: 267
- Dimension: 195
- Dominant: No
\(\lambda=(29,10,8)\)
- Multiplicity: 100
- Dimension: 690
- Dominant: No
\(\lambda=(30,16,1)\)
- Multiplicity: 1
- Dimension: 3720
- Dominant: No
\(\lambda=(34,8,5)\)
- Multiplicity: 5
- Dimension: 1674
- Dominant: No
\(\lambda=(25,18,4)\)
- Multiplicity: 129
- Dimension: 1380
- Dominant: No
\(\lambda=(17,17,13)\)
- Multiplicity: 80
- Dimension: 15
- Dominant: No
\(\lambda=(22,15,10)\)
- Multiplicity: 645
- Dimension: 336
- Dominant: No
\(\lambda=(23,21,3)\)
- Multiplicity: 33
- Dimension: 627
- Dominant: No
\(\lambda=(32,11,4)\)
- Multiplicity: 22
- Dimension: 2640
- Dominant: No
\(\lambda=(27,13,7)\)
- Multiplicity: 309
- Dimension: 1155
- Dominant: No
\(\lambda=(20,18,9)\)
- Multiplicity: 359
- Dimension: 195
- Dominant: No
\(\lambda=(30,14,3)\)
- Multiplicity: 26
- Dimension: 2958
- Dominant: No
\(\lambda=(25,16,6)\)
- Multiplicity: 355
- Dimension: 1155
- Dominant: No
\(\lambda=(17,15,15)\)
- Multiplicity: 38
- Dimension: 6
- Dominant: No
\(\lambda=(22,13,12)\)
- Multiplicity: 296
- Dimension: 120
- Dominant: No
\(\lambda=(23,19,5)\)
- Multiplicity: 187
- Dimension: 750
- Dominant: No
\(\lambda=(28,17,2)\)
- Multiplicity: 17
- Dimension: 2688
- Dominant: No
\(\lambda=(32,9,6)\)
- Multiplicity: 26
- Dimension: 1344
- Dominant: No
\(\lambda=(27,11,9)\)
- Multiplicity: 210
- Dimension: 510
- Dominant: No
\(\textbf{a}=(3,10,34)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,1)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,6)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,15)\)
- Multiplicity: 18972
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,20)\)
- Multiplicity: 5153
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,3,34)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,6)\)
- Multiplicity: 3559
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,1,15)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,20)\)
- Multiplicity: 90834
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,34,11)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,6)\)
- Multiplicity: 10795
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,20)\)
- Multiplicity: 31886
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,11)\)
- Multiplicity: 8313
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,6)\)
- Multiplicity: 2408
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,1,20)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,25)\)
- Multiplicity: 10286
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,11)\)
- Multiplicity: 78708
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,6)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,25)\)
- Multiplicity: 14524
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,15,30)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,11)\)
- Multiplicity: 44309
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,16)\)
- Multiplicity: 965
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,1,25)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,8,30)\)
- Multiplicity: 1361
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,11)\)
- Multiplicity: 880
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,2)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,16)\)
- Multiplicity: 78708
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,1,30)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,2)\)
- Multiplicity: 132
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,16)\)
- Multiplicity: 122087
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,8,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,2)\)
- Multiplicity: 86
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,7)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,16)\)
- Multiplicity: 6439
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,21)\)
- Multiplicity: 10795
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,11,2)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,7)\)
- Multiplicity: 10286
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,13,21)\)
- Multiplicity: 79861
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,32,12)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,18,7)\)
- Multiplicity: 17741
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,6,21)\)
- Multiplicity: 10795
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,20,26)\)
- Multiplicity: 11
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,25,12)\)
- Multiplicity: 21219
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,11,7)\)
- Multiplicity: 2126
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,13,26)\)
- Multiplicity: 10467
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,18,12)\)
- Multiplicity: 107020
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,4,7)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,6,26)\)
- Multiplicity: 4935
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,13,31)\)
- Multiplicity: 59
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,11,12)\)
- Multiplicity: 32440
- Dimension: 1
- 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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- 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: 18450
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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: 13020
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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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- 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: 48526
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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: 68811
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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: 130322
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- Error: 0
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- Error: 0
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- Error: 0
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- Multiplicity: 30298
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(30,13,4)\)
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(18,20,9)\)
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- Error: 0
\(\textbf{a}=(16,8,23)\)
- Multiplicity: 23406
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- Error: 0
\(\textbf{a}=(25,13,9)\)
- Multiplicity: 18450
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- Error: 0
\(\textbf{a}=(6,27,14)\)
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- Error: 0
\(\textbf{a}=(23,1,23)\)
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- Error: 0
\(\textbf{a}=(4,15,28)\)
- Multiplicity: 688
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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: 97506
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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
\(\textbf{a}=(17,25,5)\)
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- Error: 0
\(\textbf{a}=(15,13,19)\)
- Multiplicity: 112294
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- Error: 0
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- Error: 0
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- Multiplicity: 4190
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- Error: 0
\(\textbf{a}=(22,6,19)\)
- Multiplicity: 10258
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- Error: 0
\(\textbf{a}=(3,20,24)\)
- Multiplicity: 629
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- Error: 0
\(\textbf{a}=(12,25,10)\)
- Multiplicity: 21219
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- Error: 0
\(\textbf{a}=(31,11,5)\)
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- Error: 0
\(\textbf{a}=(10,13,24)\)
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- Error: 0
\(\textbf{a}=(19,18,10)\)
- Multiplicity: 66642
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- Error: 0
\(\textbf{a}=(17,6,24)\)
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- Error: 0
\(\textbf{a}=(5,13,29)\)
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- Error: 0
\(\textbf{a}=(26,11,10)\)
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
\(\textbf{a}=(14,18,15)\)
- Multiplicity: 130322
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- Error: 0
\(\textbf{a}=(12,6,29)\)
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- Error: 0
\(\textbf{a}=(23,23,1)\)
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- Error: 0
\(\textbf{a}=(21,11,15)\)
- Multiplicity: 68811
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- Error: 0
\(\textbf{a}=(2,25,20)\)
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- Error: 0
\(\textbf{a}=(7,6,34)\)
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- Error: 0
\(\textbf{a}=(30,16,1)\)
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- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,15)\)
- Multiplicity: 688
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,20)\)
- Multiplicity: 46901
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,6)\)
- Multiplicity: 9261
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,20)\)
- Multiplicity: 78708
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,11)\)
- Multiplicity: 880
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,6)\)
- Multiplicity: 6439
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,4,20)\)
- Multiplicity: 2057
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,18,25)\)
- Multiplicity: 1578
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,11)\)
- Multiplicity: 44309
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,6)\)
- Multiplicity: 220
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,11,25)\)
- Multiplicity: 22241
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,11)\)
- Multiplicity: 78708
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,30,16)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,4,25)\)
- Multiplicity: 1578
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,11,30)\)
- Multiplicity: 880
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,11)\)
- Multiplicity: 8313
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,16)\)
- Multiplicity: 23406
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,4,30)\)
- Multiplicity: 282
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,2,11)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,2)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,16)\)
- Multiplicity: 146672
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,7)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,2)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,16)\)
- Multiplicity: 38098
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,23,21)\)
- Multiplicity: 687
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,4,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,2)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,7)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,2,16)\)
- Multiplicity: 42
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,21)\)
- Multiplicity: 56925
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,7)\)
- Multiplicity: 19165
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,21)\)
- Multiplicity: 43423
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,12)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,7)\)
- Multiplicity: 7647
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,2,21)\)
- Multiplicity: 149
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,16,26)\)
- Multiplicity: 2745
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,12)\)
- Multiplicity: 76935
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,7)\)
- Multiplicity: 104
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,9,26)\)
- Multiplicity: 12810
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,12)\)
- Multiplicity: 76935
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,28,17)\)
- Multiplicity: 63
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,2,26)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,9,31)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,12)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,3)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,17)\)
- Multiplicity: 43423
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,2,31)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,3)\)
- Multiplicity: 449
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,17)\)
- Multiplicity: 138013
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,8)\)
- Multiplicity: 91
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,3)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,17)\)
- Multiplicity: 15623
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,21,22)\)
- Multiplicity: 2169
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,8)\)
- Multiplicity: 10467
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,3)\)
- Multiplicity: 29
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,22)\)
- Multiplicity: 56833
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,8)\)
- Multiplicity: 31886
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,22)\)
- Multiplicity: 17741
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,13)\)
- Multiplicity: 10467
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,8)\)
- Multiplicity: 7066
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,14,27)\)
- Multiplicity: 3559
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,13)\)
- Multiplicity: 112294
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,8)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,7,27)\)
- Multiplicity: 5358
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,13)\)
- Multiplicity: 61452
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,26,18)\)
- Multiplicity: 449
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,7,32)\)
- Multiplicity: 267
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,13)\)
- Multiplicity: 922
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,4)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,18)\)
- Multiplicity: 66642
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,4)\)
- Multiplicity: 1851
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,18)\)
- Multiplicity: 107020
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,9)\)
- Multiplicity: 598
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,4)\)
- Multiplicity: 1272
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,18)\)
- Multiplicity: 4190
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,23)\)
- Multiplicity: 4777
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,9)\)
- Multiplicity: 24894
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,4)\)
- Multiplicity: 36
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,23)\)
- Multiplicity: 46150
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,9)\)
- Multiplicity: 43423
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,31,14)\)
- Multiplicity: 14
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,5,23)\)
- Multiplicity: 4777
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,9)\)
- Multiplicity: 4982
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,14)\)
- Multiplicity: 24894
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,12,28)\)
- Multiplicity: 3498
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,3,9)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,14)\)
- Multiplicity: 138013
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,5,28)\)
- Multiplicity: 1415
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,12,33)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,5)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,14)\)
- Multiplicity: 39111
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,19)\)
- Multiplicity: 1851
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,5,33)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,5)\)
- Multiplicity: 922
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,3,14)\)
- Multiplicity: 103
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,19)\)
- Multiplicity: 85301
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,5)\)
- Multiplicity: 5153
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,19)\)
- Multiplicity: 66642
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,10)\)
- Multiplicity: 2573
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,5)\)
- Multiplicity: 2040
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,19)\)
- Multiplicity: 550
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,24)\)
- Multiplicity: 7936
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,10)\)
- Multiplicity: 48526
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,5)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,24)\)
- Multiplicity: 29724
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,17,29)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,10)\)
- Multiplicity: 48526
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,15)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,3,24)\)
- Multiplicity: 629
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,10,29)\)
- Multiplicity: 2573
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,10)\)
- Multiplicity: 2573
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,15)\)
- Multiplicity: 48526
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,1)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,15)\)
- Multiplicity: 142446
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,3,29)\)
- Multiplicity: 169
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{6,\lambda}(2,5;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{6,0}(2,5;7)\). 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 \(\beta_{6,\textbf{a}}(2,5;7)\). 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!