Representation genus | Representations available | Test results | Miscellaneous information | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Group | Dim | Ind | File | Char | Ring | Checker | CCL | Sparsity | Max | Size (Kb) | Comments |
U3(3) | 6 | - | 6 | χ2 | Z(i) | 66% | 0.7 | ||||
U3(3) | 7 | + | 7(a) | χ3 | Z | 77% | 1 | 0.7 | |||
U3(3) | 7 | o | 7(b) | χ4 | Z(i) | 71% | 0.7 | ||||
7(c) | χ5 | Z(i) | 71% | 0.7 | complex conjugate of χ4 | ||||||
14(b) | χ4+χ5 | Z | 80% | 2 | 1.4 | ||||||
U3(3) | 14 | + | 14(a) | χ6 | Z | 83% | 1 | 1.4 | |||
U3(3) | 21 | + | 21(a) | χ7 | Z | 92% | 1 | 2.4 | |||
U3(3) | 21 | o | 21(b) | χ8 | Z(i) | 87% | 2.4 | ||||
21(c) | χ9 | Z(i) | 87% | 2.5 | complex conjugate of χ8 | ||||||
42 | χ8+χ9 | Z | 92% | 2 | 8.0 | ||||||
U3(3) | 27 | + | 27 | χ10 | Z | 94% | 1 | 3.5 | |||
U3(3) | 28 | o | 28(a) | χ11 | Z(i) | 83% | 4.0 | ||||
28(b) | χ12 | Z(i) | 83% | 4.0 | complex conjugate of χ11 | ||||||
56 | χ11+χ12 | Z | 95% | 2 | 13.5 | ||||||
U3(3) | 32 | o | 32(a) | χ13 | C | 72% | 12.6 | Ugh!!! | |||
32(b) | χ14 | C | 72% | 12.7 | complex conjugate of χ13 | ||||||
64 | χ13+χ14 | Z | 94% | 1 | 17.5 |
We assume xy is in class 7A, xyy is in class 12A.