Current Betti Table Entry:
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40 |
41 |
42 |
| 0 |
(6,0,0) |
(13,1,0) |
(20,1,1) |
(26,3,1) |
(32,4,2) |
(38,4,4) |
(43,7,4) |
(48,9,5) |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
· |
· |
· |
· |
· |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
(110,70,50) |
(112,70,56) |
(113,76,57) |
(114,81,59) |
(115,85,62) |
(116,88,66) |
(117,90,71) |
(118,91,77) |
(119,91,84) |
(119,98,85) |
(119,104,87) |
(119,109,90) |
(119,113,94) |
(119,116,99) |
(119,118,105) |
(119,119,112) |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
|
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40 |
41 |
42 |
| 0 |
1 |
6 |
43 |
81 |
121 |
166 |
212 |
262 |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 1 |
· |
· |
· |
· |
· |
· |
· |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
? |
635 |
601 |
564 |
519 |
472 |
425 |
377 |
326 |
274 |
224 |
175 |
129 |
86 |
48 |
7 |
1 |
| 2 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
\(\lambda=(114,112,108)\)
- Multiplicity: 2
- Dimension: 60
- Dominant: No
\(\lambda=(115,110,109)\)
- Multiplicity: 1
- Dimension: 48
- Dominant: No
\(\lambda=(116,116,102)\)
- Multiplicity: 1
- Dimension: 120
- Dominant: No
\(\lambda=(119,110,105)\)
- Multiplicity: 3
- Dimension: 480
- Dominant: No
\(\lambda=(118,112,104)\)
- Multiplicity: 4
- Dimension: 504
- Dominant: No
\(\lambda=(117,114,103)\)
- Multiplicity: 2
- Dimension: 384
- Dominant: No
\(\lambda=(114,111,109)\)
- Multiplicity: 1
- Dimension: 42
- Dominant: No
\(\lambda=(116,115,103)\)
- Multiplicity: 1
- Dimension: 195
- Dominant: No
\(\lambda=(119,109,106)\)
- Multiplicity: 2
- Dimension: 330
- Dominant: No
\(\lambda=(118,111,105)\)
- Multiplicity: 3
- Dimension: 420
- Dominant: No
\(\lambda=(117,113,104)\)
- Multiplicity: 2
- Dimension: 375
- Dominant: No
\(\lambda=(113,112,109)\)
- Multiplicity: 1
- Dimension: 24
- Dominant: No
\(\lambda=(114,110,110)\)
- Multiplicity: 1
- Dimension: 15
- Dominant: No
\(\lambda=(116,114,104)\)
- Multiplicity: 2
- Dimension: 231
- Dominant: No
\(\lambda=(117,112,105)\)
- Multiplicity: 3
- Dimension: 336
- Dominant: No
\(\lambda=(118,118,98)\)
- Multiplicity: 1
- Dimension: 231
- Dominant: Yes
\(\lambda=(119,108,107)\)
- Multiplicity: 1
- Dimension: 168
- Dominant: No
\(\lambda=(119,116,99)\)
- Multiplicity: 1
- Dimension: 792
- Dominant: Yes
\(\lambda=(118,110,106)\)
- Multiplicity: 3
- Dimension: 315
- Dominant: No
\(\lambda=(113,111,110)\)
- Multiplicity: 1
- Dimension: 15
- Dominant: No
\(\lambda=(116,113,105)\)
- Multiplicity: 2
- Dimension: 234
- Dominant: No
\(\lambda=(117,111,106)\)
- Multiplicity: 3
- Dimension: 273
- Dominant: No
\(\lambda=(118,117,99)\)
- Multiplicity: 1
- Dimension: 399
- Dominant: No
\(\lambda=(119,115,100)\)
- Multiplicity: 1
- Dimension: 840
- Dominant: No
\(\lambda=(118,109,107)\)
- Multiplicity: 1
- Dimension: 195
- Dominant: No
\(\lambda=(112,112,110)\)
- Multiplicity: 1
- Dimension: 6
- Dominant: No
\(\lambda=(115,114,105)\)
- Multiplicity: 1
- Dimension: 120
- Dominant: No
\(\lambda=(116,112,106)\)
- Multiplicity: 3
- Dimension: 210
- Dominant: No
\(\lambda=(117,110,107)\)
- Multiplicity: 2
- Dimension: 192
- Dominant: No
\(\lambda=(118,116,100)\)
- Multiplicity: 2
- Dimension: 510
- Dominant: No
\(\lambda=(119,114,101)\)
- Multiplicity: 2
- Dimension: 840
- Dominant: No
\(\lambda=(118,108,108)\)
- Multiplicity: 1
- Dimension: 66
- Dominant: No
\(\lambda=(115,113,106)\)
- Multiplicity: 1
- Dimension: 132
- Dominant: No
\(\lambda=(116,111,107)\)
- Multiplicity: 2
- Dimension: 165
- Dominant: No
\(\lambda=(117,109,108)\)
- Multiplicity: 1
- Dimension: 99
- Dominant: No
\(\lambda=(119,113,102)\)
- Multiplicity: 2
- Dimension: 798
- Dominant: No
\(\lambda=(118,115,101)\)
- Multiplicity: 2
- Dimension: 570
- Dominant: No
\(\lambda=(114,114,106)\)
- Multiplicity: 1
- Dimension: 45
- Dominant: No
\(\lambda=(115,112,107)\)
- Multiplicity: 2
- Dimension: 120
- Dominant: No
\(\lambda=(116,110,108)\)
- Multiplicity: 2
- Dimension: 105
- Dominant: No
\(\lambda=(119,112,103)\)
- Multiplicity: 3
- Dimension: 720
- Dominant: No
\(\lambda=(118,114,102)\)
- Multiplicity: 3
- Dimension: 585
- Dominant: No
\(\lambda=(117,116,101)\)
- Multiplicity: 1
- Dimension: 288
- Dominant: No
\(\lambda=(114,113,107)\)
- Multiplicity: 1
- Dimension: 63
- Dominant: No
\(\lambda=(115,111,108)\)
- Multiplicity: 2
- Dimension: 90
- Dominant: No
\(\lambda=(119,111,104)\)
- Multiplicity: 3
- Dimension: 612
- Dominant: No
\(\lambda=(118,113,103)\)
- Multiplicity: 3
- Dimension: 561
- Dominant: No
\(\lambda=(117,115,102)\)
- Multiplicity: 1
- Dimension: 357
- Dominant: No
\(\textbf{a}=(109,106,119)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,116,118)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,118,105)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,112,112)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,102,113)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,99,119)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,109,118)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,111,105)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,115,111)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,105,112)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,102,118)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,112,117)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,114,104)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,118,110)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,108,111)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,105,117)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,115,116)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,117,103)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,111,110)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,108,116)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,118,115)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,114,109)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,101,116)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,111,115)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,107,109)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,117,108)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,113,102)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,110,108)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,116,101)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,114,114)\)
- Multiplicity: 173
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,104,115)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,113,107)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,119,100)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,117,113)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,107,114)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,114,119)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,116,106)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,110,113)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,107,119)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,117,118)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,109,106)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,119,105)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,113,112)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,103,113)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,100,119)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,110,118)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,118,98)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,112,105)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,116,111)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,106,112)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,103,118)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,113,117)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,115,104)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,119,110)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,109,111)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,106,117)\)
- Multiplicity: 96
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,116,116)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,118,103)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,112,110)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,99,117)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,109,116)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,119,115)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,115,109)\)
- Multiplicity: 244
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,105,110)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,102,116)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,112,115)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,108,109)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,118,108)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,114,102)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,111,108)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,117,101)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,115,114)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,105,115)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,114,107)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,118,113)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,108,114)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,115,119)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,117,106)\)
- Multiplicity: 96
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,111,113)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,101,114)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,108,119)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(98,118,118)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,110,106)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,116,99)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,114,112)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,104,113)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,101,119)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,111,118)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,113,105)\)
- Multiplicity: 107
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,117,111)\)
- Multiplicity: 96
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,107,112)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,104,118)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,114,117)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,116,104)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,110,111)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,107,117)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,117,116)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,119,103)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,113,110)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,100,117)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,110,116)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,112,103)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,116,109)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,106,110)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,103,116)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,113,115)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,109,109)\)
- Multiplicity: 180
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,119,108)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,115,102)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,112,108)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,118,101)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,116,114)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,106,115)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,115,107)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,119,113)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,109,114)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,116,119)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,108,107)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,118,106)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,112,113)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,102,114)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,109,119)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,111,106)\)
- Multiplicity: 96
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,117,99)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,115,112)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,105,113)\)
- Multiplicity: 107
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,102,119)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,112,118)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,114,105)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,118,111)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,108,112)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,105,118)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,115,117)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,117,104)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,111,111)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,98,118)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,108,117)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,118,116)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,114,110)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,104,111)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,101,117)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,111,116)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,113,103)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,117,109)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,107,110)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,104,116)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,114,115)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,110,109)\)
- Multiplicity: 244
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,116,102)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,107,115)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,113,108)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,119,101)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,117,114)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,116,107)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,110,114)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,100,115)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,109,107)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,119,106)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,115,100)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,113,113)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,103,114)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,110,119)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,112,106)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,118,99)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,116,112)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,106,113)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,103,119)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,113,118)\)
- Multiplicity: 27
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,115,105)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,119,111)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,109,112)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,106,118)\)
- Multiplicity: 54
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,116,117)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,118,104)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,112,111)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,99,118)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,109,117)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,119,116)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,111,104)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,115,110)\)
- Multiplicity: 244
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,105,111)\)
- Multiplicity: 46
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,102,117)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,112,116)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,114,103)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,118,109)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,108,110)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,105,116)\)
- Multiplicity: 107
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,115,115)\)
- Multiplicity: 84
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,111,109)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,117,102)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,108,115)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,114,108)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,118,114)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,107,108)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,117,107)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,111,114)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,101,115)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,110,107)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,116,100)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,114,113)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,104,114)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,111,119)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,113,106)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,119,99)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,117,112)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,107,113)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,104,119)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,114,118)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,116,105)\)
- Multiplicity: 107
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,110,112)\)
- Multiplicity: 372
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,107,118)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(100,117,117)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,119,104)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,113,111)\)
- Multiplicity: 353
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,103,112)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,100,118)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,110,117)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,112,104)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,116,110)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,106,111)\)
- Multiplicity: 96
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,103,117)\)
- Multiplicity: 43
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,113,116)\)
- Multiplicity: 107
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,115,103)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,119,109)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,109,110)\)
- Multiplicity: 244
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,106,116)\)
- Multiplicity: 137
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,116,115)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,112,109)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,118,102)\)
- Multiplicity: 19
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,99,116)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,109,115)\)
- Multiplicity: 244
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,115,108)\)
- Multiplicity: 229
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,119,114)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,108,108)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,118,107)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,114,101)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,112,114)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,102,115)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,111,107)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,117,100)\)
- Multiplicity: 8
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,115,113)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,105,114)\)
- Multiplicity: 122
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,112,119)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,114,106)\)
- Multiplicity: 173
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,118,112)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,108,113)\)
- Multiplicity: 279
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,105,119)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(101,115,118)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,117,105)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,111,112)\)
- Multiplicity: 387
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,108,118)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(99,118,117)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,110,105)\)
- Multiplicity: 15
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,114,111)\)
- Multiplicity: 297
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,104,112)\)
- Multiplicity: 37
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,101,118)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(106,111,117)\)
- Multiplicity: 96
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,113,104)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,117,110)\)
- Multiplicity: 108
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,107,111)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,104,117)\)
- Multiplicity: 60
- Dimension: 1
- Error: 0
\(\textbf{a}=(104,114,116)\)
- Multiplicity: 79
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,116,103)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,110,110)\)
- Multiplicity: 309
- Dimension: 1
- Error: 0
\(\textbf{a}=(111,107,116)\)
- Multiplicity: 160
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,117,115)\)
- Multiplicity: 28
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,113,109)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,119,102)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,100,116)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(109,110,115)\)
- Multiplicity: 244
- Dimension: 1
- Error: 0
\(\textbf{a}=(119,106,109)\)
- Multiplicity: 17
- Dimension: 1
- Error: 0
\(\textbf{a}=(110,116,108)\)
- Multiplicity: 176
- Dimension: 1
- Error: 0
\(\textbf{a}=(117,109,108)\)
- Multiplicity: 114
- Dimension: 1
- Error: 0
\(\textbf{a}=(108,119,107)\)
- Multiplicity: 18
- Dimension: 1
- Error: 0
\(\textbf{a}=(118,115,101)\)
- Multiplicity: 12
- Dimension: 1
- Error: 0
\(\textbf{a}=(107,113,114)\)
- Multiplicity: 222
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,103,115)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(115,112,107)\)
- Multiplicity: 200
- Dimension: 1
- Error: 0
\(\textbf{a}=(116,118,100)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(105,116,113)\)
- Multiplicity: 107
- Dimension: 1
- Error: 0
\(\textbf{a}=(114,106,114)\)
- Multiplicity: 173
- Dimension: 1
- Error: 0
\(\textbf{a}=(102,113,119)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(113,115,106)\)
- Multiplicity: 162
- Dimension: 1
- Error: 0
\(\textbf{a}=(103,119,112)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(112,109,113)\)
- Multiplicity: 326
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{40,\lambda}(2,6;8)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{40,1}(2,6;8)\). 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!
|
111 |
112 |
113 |
114 |
115 |
116 |
117 |
118 |
119 |
120 |
| 107 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
| 108 |
· |
· |
· |
· |
· |
· |
· |
1
| 1
| · |
| 109 |
· |
· |
· |
· |
· |
· |
1
| 1
| 2
| · |
| 110 |
· |
· |
· |
1
| 1
| 2
| 2
| 3
| 3
| · |
| 111 |
· |
· |
1
| 1
| 2
| 2
| 3
| 3
| 3
| · |
| 112 |
· |
1
| 1
| 2
| 2
| 3
| 3
| 4
| 3
| · |
| 113 |
· |
· |
· |
1
| 1
| 2
| 2
| 3
| 2
| · |
| 114 |
· |
· |
· |
1
| 1
| 2
| 2
| 3
| 2
| · |
| 115 |
· |
· |
· |
· |
· |
1
| 1
| 2
| 1
| · |
| 116 |
· |
· |
· |
· |
· |
1
| 1
| 2
| 1
| · |
| 117 |
· |
· |
· |
· |
· |
· |
· |
1
| · |
· |
| 118 |
· |
· |
· |
· |
· |
· |
· |
1
| · |
· |
| 119 |
· |
· |
· |
· |
· |
· |
· |
· |
· |
· |
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{40,\textbf{a}}(2,6;8)\). 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!