Current Betti Table Entry:
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(6,0,0) |
(12,1,0) |
(18,1,1) |
(23,3,1) |
(28,4,2) |
(33,4,4) |
(37,7,4) |
(41,9,5) |
(45,10,7) |
(49,10,10) |
(52,14,10) |
(55,17,11) |
(58,19,13) |
(61,20,16) |
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(82,68,52) |
(83,68,58) |
(83,73,60) |
(83,77,63) |
(83,80,67) |
(83,82,72) |
(83,83,78) |
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36 |
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149 |
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\(\lambda=(22,13,13)\)
- Multiplicity: 213
- Dimension: 55
- Dominant: No
\(\lambda=(23,19,6)\)
- Multiplicity: 390
- Dimension: 665
- Dominant: No
\(\lambda=(32,9,7)\)
- Multiplicity: 43
- Dimension: 972
- Dominant: No
\(\lambda=(37,7,4)\)
- Multiplicity: 1
- Dimension: 2170
- Dominant: Yes
\(\lambda=(28,17,3)\)
- Multiplicity: 75
- Dimension: 2430
- Dominant: No
\(\lambda=(27,11,10)\)
- Multiplicity: 235
- Dimension: 323
- Dominant: No
\(\lambda=(20,16,12)\)
- Multiplicity: 602
- Dimension: 125
- Dominant: No
\(\lambda=(30,12,6)\)
- Multiplicity: 162
- Dimension: 1729
- Dominant: No
\(\lambda=(35,10,3)\)
- Multiplicity: 2
- Dimension: 3536
- Dominant: No
\(\lambda=(26,20,2)\)
- Multiplicity: 27
- Dimension: 1729
- Dominant: No
\(\lambda=(25,14,9)\)
- Multiplicity: 764
- Dimension: 648
- Dominant: No
\(\lambda=(23,17,8)\)
- Multiplicity: 803
- Dimension: 595
- Dominant: No
\(\lambda=(24,23,1)\)
- Multiplicity: 2
- Dimension: 575
- Dominant: No
\(\lambda=(33,13,2)\)
- Multiplicity: 5
- Dimension: 4158
- Dominant: No
\(\lambda=(28,15,5)\)
- Multiplicity: 244
- Dimension: 1925
- Dominant: No
\(\lambda=(20,14,14)\)
- Multiplicity: 158
- Dimension: 28
- Dominant: No
\(\lambda=(21,20,7)\)
- Multiplicity: 242
- Dimension: 224
- Dominant: No
\(\lambda=(25,12,11)\)
- Multiplicity: 347
- Dimension: 224
- Dominant: No
\(\lambda=(30,10,8)\)
- Multiplicity: 114
- Dimension: 756
- Dominant: No
\(\lambda=(31,16,1)\)
- Multiplicity: 2
- Dimension: 4096
- Dominant: No
\(\lambda=(35,8,5)\)
- Multiplicity: 5
- Dimension: 1792
- Dominant: No
\(\lambda=(26,18,4)\)
- Multiplicity: 180
- Dimension: 1620
- Dominant: No
\(\lambda=(18,17,13)\)
- Multiplicity: 225
- Dimension: 35
- Dominant: No
\(\lambda=(23,15,10)\)
- Multiplicity: 916
- Dimension: 405
- Dominant: No
\(\lambda=(24,21,3)\)
- Multiplicity: 56
- Dimension: 874
- Dominant: No
\(\lambda=(33,11,4)\)
- Multiplicity: 24
- Dimension: 2852
- Dominant: No
\(\lambda=(28,13,7)\)
- Multiplicity: 372
- Dimension: 1288
- Dominant: No
\(\lambda=(21,18,9)\)
- Multiplicity: 645
- Dimension: 280
- Dominant: No
\(\lambda=(31,14,3)\)
- Multiplicity: 32
- Dimension: 3240
- Dominant: No
\(\lambda=(26,16,6)\)
- Multiplicity: 466
- Dimension: 1331
- Dominant: No
\(\lambda=(18,15,15)\)
- Multiplicity: 78
- Dimension: 10
- Dominant: No
\(\lambda=(23,13,12)\)
- Multiplicity: 414
- Dimension: 143
- Dominant: No
\(\lambda=(24,19,5)\)
- Multiplicity: 280
- Dimension: 945
- Dominant: No
\(\lambda=(29,17,2)\)
- Multiplicity: 24
- Dimension: 3016
- Dominant: No
\(\lambda=(33,9,6)\)
- Multiplicity: 28
- Dimension: 1450
- Dominant: No
\(\lambda=(28,11,9)\)
- Multiplicity: 249
- Dimension: 567
- Dominant: No
\(\lambda=(21,16,11)\)
- Multiplicity: 799
- Dimension: 216
- Dominant: No
\(\lambda=(22,22,4)\)
- Multiplicity: 30
- Dimension: 190
- Dominant: No
\(\lambda=(31,12,5)\)
- Multiplicity: 87
- Dimension: 2240
- Dominant: No
\(\lambda=(27,20,1)\)
- Multiplicity: 5
- Dimension: 2240
- Dominant: No
\(\lambda=(26,14,8)\)
- Multiplicity: 646
- Dimension: 910
- Dominant: No
\(\lambda=(19,19,10)\)
- Multiplicity: 194
- Dimension: 55
- Dominant: No
\(\lambda=(24,17,7)\)
- Multiplicity: 667
- Dimension: 836
- Dominant: No
\(\lambda=(29,15,4)\)
- Multiplicity: 126
- Dimension: 2430
- Dominant: No
\(\lambda=(16,16,16)\)
- Multiplicity: 9
- Dimension: 1
- Dominant: No
\(\lambda=(21,14,13)\)
- Multiplicity: 371
- Dimension: 80
- Dominant: No
\(\lambda=(22,20,6)\)
- Multiplicity: 250
- Dimension: 405
- Dominant: No
\(\lambda=(31,10,7)\)
- Multiplicity: 88
- Dimension: 1144
- Dominant: No
\(\lambda=(36,8,4)\)
- Multiplicity: 2
- Dimension: 2465
- Dominant: No
\(\lambda=(27,18,3)\)
- Multiplicity: 82
- Dimension: 2080
- Dominant: No
\(\lambda=(26,12,10)\)
- Multiplicity: 417
- Dimension: 405
- Dominant: No
\(\lambda=(19,17,12)\)
- Multiplicity: 431
- Dimension: 81
- Dominant: No
\(\lambda=(24,15,9)\)
- Multiplicity: 889
- Dimension: 595
- Dominant: No
\(\lambda=(34,11,3)\)
- Multiplicity: 6
- Dimension: 3564
- Dominant: No
\(\lambda=(29,13,6)\)
- Multiplicity: 244
- Dimension: 1700
- Dominant: No
\(\lambda=(25,21,2)\)
- Multiplicity: 25
- Dimension: 1250
- Dominant: No
\(\lambda=(22,18,8)\)
- Multiplicity: 659
- Dimension: 440
- Dominant: No
\(\lambda=(32,14,2)\)
- Multiplicity: 7
- Dimension: 3952
- Dominant: No
\(\lambda=(27,16,5)\)
- Multiplicity: 289
- Dimension: 1728
- Dominant: No
\(\lambda=(19,15,14)\)
- Multiplicity: 228
- Dimension: 35
- Dominant: No
\(\lambda=(24,13,11)\)
- Multiplicity: 561
- Dimension: 270
- Dominant: No
\(\lambda=(30,17,1)\)
- Multiplicity: 3
- Dimension: 3689
- Dominant: No
\(\lambda=(34,9,5)\)
- Multiplicity: 13
- Dimension: 2015
- Dominant: No
\(\lambda=(29,11,8)\)
- Multiplicity: 217
- Dimension: 874
- Dominant: No
\(\lambda=(25,19,4)\)
- Multiplicity: 175
- Dimension: 1288
- Dominant: No
\(\lambda=(22,16,10)\)
- Multiplicity: 911
- Dimension: 343
- Dominant: No
\(\lambda=(23,22,3)\)
- Multiplicity: 29
- Dimension: 440
- Dominant: No
\(\lambda=(32,12,4)\)
- Multiplicity: 40
- Dimension: 2835
- Dominant: No
\(\lambda=(27,14,7)\)
- Multiplicity: 488
- Dimension: 1232
- Dominant: No
\(\lambda=(20,19,9)\)
- Multiplicity: 350
- Dimension: 143
- Dominant: No
\(\lambda=(30,15,3)\)
- Multiplicity: 48
- Dimension: 3016
- Dominant: No
\(\lambda=(34,7,7)\)
- Multiplicity: 6
- Dimension: 406
- Dominant: No
\(\lambda=(25,17,6)\)
- Multiplicity: 498
- Dimension: 1134
- Dominant: No
\(\lambda=(17,16,15)\)
- Multiplicity: 64
- Dimension: 8
- Dominant: No
\(\lambda=(22,14,12)\)
- Multiplicity: 578
- Dimension: 162
- Dominant: No
\(\lambda=(23,20,5)\)
- Multiplicity: 210
- Dimension: 640
- Dominant: No
\(\lambda=(32,10,6)\)
- Multiplicity: 54
- Dimension: 1610
- Dominant: No
\(\lambda=(28,18,2)\)
- Multiplicity: 26
- Dimension: 2618
- Dominant: No
\(\lambda=(27,12,9)\)
- Multiplicity: 410
- Dimension: 640
- Dominant: No
\(\lambda=(20,17,11)\)
- Multiplicity: 634
- Dimension: 154
- Dominant: No
\(\lambda=(30,13,5)\)
- Multiplicity: 135
- Dimension: 2187
- Dominant: No
\(\lambda=(35,11,2)\)
- Multiplicity: 1
- Dimension: 4375
- Dominant: Yes
\(\lambda=(26,21,1)\)
- Multiplicity: 5
- Dimension: 1701
- Dominant: No
\(\lambda=(25,15,8)\)
- Multiplicity: 774
- Dimension: 836
- Dominant: No
\(\lambda=(23,18,7)\)
- Multiplicity: 595
- Dimension: 648
- Dominant: No
\(\lambda=(32,8,8)\)
- Multiplicity: 15
- Dimension: 325
- Dominant: No
\(\lambda=(28,16,4)\)
- Multiplicity: 152
- Dimension: 2197
- Dominant: No
\(\lambda=(20,15,13)\)
- Multiplicity: 441
- Dimension: 81
- Dominant: No
\(\lambda=(21,21,6)\)
- Multiplicity: 96
- Dimension: 136
- Dominant: No
\(\lambda=(25,13,10)\)
- Multiplicity: 626
- Dimension: 442
- Dominant: No
\(\lambda=(30,11,7)\)
- Multiplicity: 160
- Dimension: 1250
- Dominant: No
\(\lambda=(35,9,4)\)
- Multiplicity: 6
- Dimension: 2673
- Dominant: No
\(\lambda=(26,19,3)\)
- Multiplicity: 82
- Dimension: 1700
- Dominant: No
\(\lambda=(18,18,12)\)
- Multiplicity: 150
- Dimension: 28
- Dominant: No
\(\lambda=(23,16,9)\)
- Multiplicity: 920
- Dimension: 512
- Dominant: No
\(\lambda=(24,22,2)\)
- Multiplicity: 14
- Dimension: 756
- Dominant: No
\(\lambda=(33,12,3)\)
- Multiplicity: 12
- Dimension: 3520
- Dominant: No
\(\lambda=(28,14,6)\)
- Multiplicity: 324
- Dimension: 1620
- Dominant: No
\(\lambda=(21,19,8)\)
- Multiplicity: 450
- Dimension: 270
- Dominant: No
\(\lambda=(30,9,9)\)
- Multiplicity: 43
- Dimension: 253
- Dominant: No
\(\lambda=(31,15,2)\)
- Multiplicity: 13
- Dimension: 3689
- Dominant: No
\(\lambda=(35,7,6)\)
- Multiplicity: 4
- Dimension: 899
- Dominant: No
\(\lambda=(26,17,5)\)
- Multiplicity: 318
- Dimension: 1495
- Dominant: No
\(\lambda=(18,16,14)\)
- Multiplicity: 190
- Dimension: 27
- Dominant: No
\(\lambda=(23,14,11)\)
- Multiplicity: 736
- Dimension: 280
- Dominant: No
\(\lambda=(24,20,4)\)
- Multiplicity: 138
- Dimension: 935
- Dominant: No
\(\lambda=(29,18,1)\)
- Multiplicity: 4
- Dimension: 3240
- Dominant: No
\(\lambda=(33,10,5)\)
- Multiplicity: 27
- Dimension: 2160
- Dominant: No
\(\lambda=(28,12,8)\)
- Multiplicity: 343
- Dimension: 935
- Dominant: No
\(\lambda=(21,17,10)\)
- Multiplicity: 789
- Dimension: 260
- Dominant: No
\(\lambda=(31,13,4)\)
- Multiplicity: 66
- Dimension: 2755
- Dominant: No
\(\lambda=(27,21,0)\)
- Multiplicity: 1
- Dimension: 2233
- Dominant: Yes
\(\lambda=(26,15,7)\)
- Multiplicity: 597
- Dimension: 1134
- Dominant: No
\(\lambda=(24,18,6)\)
- Multiplicity: 462
- Dimension: 910
- Dominant: No
\(\lambda=(33,8,7)\)
- Multiplicity: 17
- Dimension: 728
- Dominant: No
\(\lambda=(29,16,3)\)
- Multiplicity: 61
- Dimension: 2744
- Dominant: No
\(\lambda=(28,10,10)\)
- Multiplicity: 90
- Dimension: 190
- Dominant: No
\(\lambda=(21,15,12)\)
- Multiplicity: 661
- Dimension: 154
- Dominant: No
\(\lambda=(22,21,5)\)
- Multiplicity: 113
- Dimension: 323
- Dominant: No
\(\lambda=(31,11,6)\)
- Multiplicity: 102
- Dimension: 1701
- Dominant: No
\(\lambda=(36,9,3)\)
- Multiplicity: 1
- Dimension: 3430
- Dominant: Yes
\(\lambda=(27,19,2)\)
- Multiplicity: 30
- Dimension: 2187
- Dominant: No
\(\lambda=(26,13,9)\)
- Multiplicity: 594
- Dimension: 665
- Dominant: No
\(\lambda=(19,18,11)\)
- Multiplicity: 347
- Dimension: 80
- Dominant: No
\(\lambda=(24,16,8)\)
- Multiplicity: 823
- Dimension: 729
- Dominant: No
\(\lambda=(34,12,2)\)
- Multiplicity: 2
- Dimension: 4301
- Dominant: No
\(\lambda=(29,14,5)\)
- Multiplicity: 187
- Dimension: 2080
- Dominant: No
\(\lambda=(25,22,1)\)
- Multiplicity: 4
- Dimension: 1144
- Dominant: No
\(\lambda=(22,19,7)\)
- Multiplicity: 451
- Dimension: 442
- Dominant: No
\(\lambda=(31,9,8)\)
- Multiplicity: 51
- Dimension: 575
- Dominant: No
\(\lambda=(36,7,5)\)
- Multiplicity: 2
- Dimension: 1485
- Dominant: No
\(\lambda=(32,15,1)\)
- Multiplicity: 1
- Dimension: 4455
- Dominant: Yes
\(\lambda=(27,17,4)\)
- Multiplicity: 177
- Dimension: 1925
- Dominant: No
\(\lambda=(26,11,11)\)
- Multiplicity: 153
- Dimension: 136
- Dominant: No
\(\lambda=(19,16,13)\)
- Multiplicity: 388
- Dimension: 64
- Dominant: No
\(\lambda=(24,14,10)\)
- Multiplicity: 797
- Dimension: 440
- Dominant: No
\(\lambda=(34,10,4)\)
- Multiplicity: 12
- Dimension: 2800
- Dominant: No
\(\lambda=(29,12,7)\)
- Multiplicity: 254
- Dimension: 1296
- Dominant: No
\(\lambda=(25,20,3)\)
- Multiplicity: 73
- Dimension: 1296
- Dominant: No
\(\lambda=(22,17,9)\)
- Multiplicity: 843
- Dimension: 405
- Dominant: No
\(\lambda=(23,23,2)\)
- Multiplicity: 7
- Dimension: 253
- Dominant: No
\(\lambda=(32,13,3)\)
- Multiplicity: 21
- Dimension: 3410
- Dominant: No
\(\lambda=(27,15,6)\)
- Multiplicity: 413
- Dimension: 1495
- Dominant: No
\(\lambda=(20,20,8)\)
- Multiplicity: 150
- Dimension: 91
- Dominant: No
\(\lambda=(24,12,12)\)
- Multiplicity: 199
- Dimension: 91
- Dominant: No
\(\lambda=(30,16,2)\)
- Multiplicity: 17
- Dimension: 3375
- Dominant: No
\(\lambda=(34,8,6)\)
- Multiplicity: 11
- Dimension: 1215
- Dominant: No
\(\lambda=(29,10,9)\)
- Multiplicity: 122
- Dimension: 440
- Dominant: No
\(\lambda=(25,18,5)\)
- Multiplicity: 314
- Dimension: 1232
- Dominant: No
\(\lambda=(17,17,14)\)
- Multiplicity: 78
- Dimension: 10
- Dominant: No
\(\lambda=(22,15,11)\)
- Multiplicity: 829
- Dimension: 260
- Dominant: No
\(\lambda=(23,21,4)\)
- Multiplicity: 97
- Dimension: 567
- Dominant: No
\(\lambda=(32,11,5)\)
- Multiplicity: 53
- Dimension: 2233
- Dominant: No
\(\lambda=(28,19,1)\)
- Multiplicity: 5
- Dimension: 2755
- Dominant: No
\(\lambda=(27,13,8)\)
- Multiplicity: 502
- Dimension: 945
- Dominant: No
\(\lambda=(20,18,10)\)
- Multiplicity: 524
- Dimension: 162
- Dominant: No
\(\lambda=(30,14,4)\)
- Multiplicity: 91
- Dimension: 2618
- Dominant: No
\(\lambda=(25,16,7)\)
- Multiplicity: 662
- Dimension: 1000
- Dominant: No
\(\textbf{a}=(15,3,30)\)
- Multiplicity: 205
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,27,2)\)
- Multiplicity: 161
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,15,16)\)
- Multiplicity: 217026
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,10,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,34,7)\)
- Multiplicity: 105
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,20,2)\)
- Multiplicity: 199
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,8,16)\)
- Multiplicity: 30007
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,22,21)\)
- Multiplicity: 7500
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,3,35)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,27,7)\)
- Multiplicity: 9240
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,13,2)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,1,16)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,15,21)\)
- Multiplicity: 122082
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,34,12)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,20,7)\)
- Multiplicity: 27393
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,8,21)\)
- Multiplicity: 43903
- Dimension: 1
- Error: 0
\(\textbf{a}=(0,22,26)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,27,12)\)
- Multiplicity: 15263
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,13,7)\)
- Multiplicity: 6313
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,1,21)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,15,26)\)
- Multiplicity: 12713
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,20,12)\)
- Multiplicity: 139416
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,6,7)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,8,26)\)
- Multiplicity: 17785
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,15,31)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,13,12)\)
- Multiplicity: 79081
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,27,17)\)
- Multiplicity: 1636
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,1,26)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,8,31)\)
- Multiplicity: 1486
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,6,12)\)
- Multiplicity: 1716
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,32,3)\)
- Multiplicity: 66
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,20,17)\)
- Multiplicity: 117738
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,1,31)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,25,3)\)
- Multiplicity: 901
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,13,17)\)
- Multiplicity: 181216
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,8,36)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,32,8)\)
- Multiplicity: 687
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,18,3)\)
- Multiplicity: 606
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,6,17)\)
- Multiplicity: 10207
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,20,22)\)
- Multiplicity: 14929
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,25,8)\)
- Multiplicity: 23783
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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: 150923
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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: 150923
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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: 181216
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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: 181216
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Error: 0
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- Dimension: 1
- Error: 0
\(\textbf{a}=(8,17,23)\)
- Multiplicity: 35890
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,22,9)\)
- Multiplicity: 57811
- Dimension: 1
- Error: 0
\(\textbf{a}=(36,8,4)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,10,23)\)
- Multiplicity: 62796
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,17,28)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,15,9)\)
- Multiplicity: 40316
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,29,14)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,3,23)\)
- Multiplicity: 1064
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,10,28)\)
- Multiplicity: 10190
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,8,9)\)
- Multiplicity: 1486
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,22,14)\)
- Multiplicity: 101104
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,3,28)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,27,0)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,15,14)\)
- Multiplicity: 183100
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,10,33)\)
- Multiplicity: 158
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,34,5)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,8,14)\)
- Multiplicity: 17785
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,22,19)\)
- Multiplicity: 26055
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,3,33)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,27,5)\)
- Multiplicity: 3429
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,15,19)\)
- Multiplicity: 183100
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,34,10)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,20,5)\)
- Multiplicity: 7126
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,8,19)\)
- Multiplicity: 43903
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,22,24)\)
- Multiplicity: 254
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,27,10)\)
- Multiplicity: 16819
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,13,5)\)
- Multiplicity: 1059
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,1,19)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,15,24)\)
- Multiplicity: 40316
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,20,10)\)
- Multiplicity: 92483
- Dimension: 1
- Error: 0
\(\textbf{a}=(37,6,5)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,8,24)\)
- Multiplicity: 30007
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,15,29)\)
- Multiplicity: 835
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,13,10)\)
- Multiplicity: 36835
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,27,15)\)
- Multiplicity: 6043
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,1,24)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,8,29)\)
- Multiplicity: 5080
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,6,10)\)
- Multiplicity: 498
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,32,1)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,20,15)\)
- Multiplicity: 154142
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,1,29)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,25,1)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,13,15)\)
- Multiplicity: 154142
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,27,20)\)
- Multiplicity: 21
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,8,34)\)
- Multiplicity: 92
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,18,1)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,32,6)\)
- Multiplicity: 498
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,6,15)\)
- Multiplicity: 6043
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,20,20)\)
- Multiplicity: 44998
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,25,6)\)
- Multiplicity: 10207
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,13,20)\)
- Multiplicity: 154142
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,32,11)\)
- Multiplicity: 330
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,18,6)\)
- Multiplicity: 12197
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,6,20)\)
- Multiplicity: 14929
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,20,25)\)
- Multiplicity: 901
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,25,11)\)
- Multiplicity: 40109
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,11,6)\)
- Multiplicity: 972
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,13,25)\)
- Multiplicity: 36835
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,18,11)\)
- Multiplicity: 123983
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,6,25)\)
- Multiplicity: 10207
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,13,30)\)
- Multiplicity: 1059
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,11,11)\)
- Multiplicity: 26933
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,25,16)\)
- Multiplicity: 16495
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,6,30)\)
- Multiplicity: 1716
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,4,11)\)
- Multiplicity: 87
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,30,2)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,18,16)\)
- Multiplicity: 198857
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,37,7)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,23,2)\)
- Multiplicity: 263
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,11,16)\)
- Multiplicity: 106108
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,25,21)\)
- Multiplicity: 234
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,6,35)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,30,7)\)
- Multiplicity: 2384
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,16,2)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,4,16)\)
- Multiplicity: 1204
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,18,21)\)
- Multiplicity: 63979
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,23,7)\)
- Multiplicity: 23565
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,11,21)\)
- Multiplicity: 106108
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,30,12)\)
- Multiplicity: 1716
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,16,7)\)
- Multiplicity: 16495
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,4,21)\)
- Multiplicity: 3105
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,18,26)\)
- Multiplicity: 2083
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,23,12)\)
- Multiplicity: 79081
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,9,7)\)
- Multiplicity: 637
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,11,26)\)
- Multiplicity: 26933
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,16,12)\)
- Multiplicity: 139416
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,30,17)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,4,26)\)
- Multiplicity: 2083
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,11,31)\)
- Multiplicity: 972
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,9,12)\)
- Multiplicity: 15263
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,35,3)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,23,17)\)
- Multiplicity: 35890
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,4,31)\)
- Multiplicity: 322
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,2,12)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,28,3)\)
- Multiplicity: 453
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,16,17)\)
- Multiplicity: 217026
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,35,8)\)
- Multiplicity: 24
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,21,3)\)
- Multiplicity: 1008
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,9,17)\)
- Multiplicity: 57811
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,23,22)\)
- Multiplicity: 1064
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,4,36)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,28,8)\)
- Multiplicity: 8265
- Dimension: 1
- Error: 0
\(\textbf{a}=(31,14,3)\)
- Multiplicity: 121
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,2,17)\)
- Multiplicity: 85
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,16,22)\)
- Multiplicity: 75319
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,21,8)\)
- Multiplicity: 43903
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,9,22)\)
- Multiplicity: 57811
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,16,27)\)
- Multiplicity: 3429
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,14,8)\)
- Multiplicity: 17785
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,28,13)\)
- Multiplicity: 6313
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,2,22)\)
- Multiplicity: 254
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,9,27)\)
- Multiplicity: 15263
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,7,8)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,21,13)\)
- Multiplicity: 130856
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,2,27)\)
- Multiplicity: 161
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,14,13)\)
- Multiplicity: 130856
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,28,18)\)
- Multiplicity: 120
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,9,32)\)
- Multiplicity: 637
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,7,13)\)
- Multiplicity: 6313
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,33,4)\)
- Multiplicity: 87
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,21,18)\)
- Multiplicity: 63979
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,2,32)\)
- Multiplicity: 16
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,26,4)\)
- Multiplicity: 2083
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,14,18)\)
- Multiplicity: 198857
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,33,9)\)
- Multiplicity: 231
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,19,4)\)
- Multiplicity: 2515
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,7,18)\)
- Multiplicity: 23565
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,21,23)\)
- Multiplicity: 3105
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,26,9)\)
- Multiplicity: 22450
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,12,4)\)
- Multiplicity: 175
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,14,23)\)
- Multiplicity: 73268
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,19,9)\)
- Multiplicity: 67287
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,7,23)\)
- Multiplicity: 23565
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,14,28)\)
- Multiplicity: 4245
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,12,9)\)
- Multiplicity: 15263
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,26,14)\)
- Multiplicity: 17785
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,0,23)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,7,28)\)
- Multiplicity: 6313
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,5,9)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,19,14)\)
- Multiplicity: 183100
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,24,0)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,12,14)\)
- Multiplicity: 101104
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,26,19)\)
- Multiplicity: 761
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,7,33)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,31,5)\)
- Multiplicity: 618
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,5,14)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,19,19)\)
- Multiplicity: 94890
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,24,5)\)
- Multiplicity: 6433
- Dimension: 1
- Error: 0
\(\textbf{a}=(17,12,19)\)
- Multiplicity: 150923
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,31,10)\)
- Multiplicity: 1294
- Dimension: 1
- Error: 0
\(\textbf{a}=(26,17,5)\)
- Multiplicity: 4473
- Dimension: 1
- Error: 0
\(\textbf{a}=(24,5,19)\)
- Multiplicity: 6433
- Dimension: 1
- Error: 0
\(\textbf{a}=(5,19,24)\)
- Multiplicity: 6433
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,24,10)\)
- Multiplicity: 49500
- Dimension: 1
- Error: 0
\(\textbf{a}=(33,10,5)\)
- Multiplicity: 158
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,12,24)\)
- Multiplicity: 58173
- Dimension: 1
- Error: 0
\(\textbf{a}=(21,17,10)\)
- Multiplicity: 85684
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,31,15)\)
- Multiplicity: 32
- Dimension: 1
- Error: 0
\(\textbf{a}=(19,5,24)\)
- Multiplicity: 6433
- Dimension: 1
- Error: 0
\(\textbf{a}=(7,12,29)\)
- Multiplicity: 4028
- Dimension: 1
- Error: 0
\(\textbf{a}=(28,10,10)\)
- Multiplicity: 10190
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,24,15)\)
- Multiplicity: 40316
- Dimension: 1
- Error: 0
\(\textbf{a}=(14,5,29)\)
- Multiplicity: 1675
- Dimension: 1
- Error: 0
\(\textbf{a}=(35,3,10)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,29,1)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(16,17,15)\)
- Multiplicity: 217026
- Dimension: 1
- Error: 0
\(\textbf{a}=(2,12,34)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,22,1)\)
- Multiplicity: 31
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,36,6)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(23,10,15)\)
- Multiplicity: 62796
- Dimension: 1
- Error: 0
\(\textbf{a}=(4,24,20)\)
- Multiplicity: 2865
- Dimension: 1
- Error: 0
\(\textbf{a}=(9,5,34)\)
- Multiplicity: 67
- Dimension: 1
- Error: 0
\(\textbf{a}=(32,15,1)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,29,6)\)
- Multiplicity: 2803
- Dimension: 1
- Error: 0
\(\textbf{a}=(30,3,15)\)
- Multiplicity: 205
- Dimension: 1
- Error: 0
\(\textbf{a}=(11,17,20)\)
- Multiplicity: 117738
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,22,6)\)
- Multiplicity: 14929
- Dimension: 1
- Error: 0
\(\textbf{a}=(18,10,20)\)
- Multiplicity: 92483
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,29,11)\)
- Multiplicity: 5080
- Dimension: 1
- Error: 0
\(\textbf{a}=(27,15,6)\)
- Multiplicity: 6043
- Dimension: 1
- Error: 0
\(\textbf{a}=(25,3,20)\)
- Multiplicity: 901
- Dimension: 1
- Error: 0
\(\textbf{a}=(6,17,25)\)
- Multiplicity: 10207
- Dimension: 1
- Error: 0
\(\textbf{a}=(15,22,11)\)
- Multiplicity: 90641
- Dimension: 1
- Error: 0
\(\textbf{a}=(34,8,6)\)
- Multiplicity: 92
- Dimension: 1
- Error: 0
\(\textbf{a}=(13,10,25)\)
- Multiplicity: 36835
- Dimension: 1
- Error: 0
\(\textbf{a}=(1,17,30)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(22,15,11)\)
- Multiplicity: 90641
- Dimension: 1
- Error: 0
\(\textbf{a}=(3,29,16)\)
- Multiplicity: 316
- Dimension: 1
- Error: 0
\(\textbf{a}=(20,3,25)\)
- Multiplicity: 901
- Dimension: 1
- Error: 0
\(\textbf{a}=(8,10,30)\)
- Multiplicity: 2873
- Dimension: 1
- Error: 0
\(\textbf{a}=(29,8,11)\)
- Multiplicity: 5080
- Dimension: 1
- Error: 0
\(\textbf{a}=(12,34,2)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(10,22,16)\)
- Multiplicity: 75319
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{6,\lambda}(2,6;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{6,0}(2,6;7)\). 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 \(\beta_{6,\textbf{a}}(2,6;7)\). 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!