Representation genus | Representations available | Test results | Miscellaneous information | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Group | Dim | Ind | File | Char | Ring | Checker | CCL | Sparsity | Max | Size (Kb) | Comments |
M22 | 21 | + | 21 | χ2 | Z | 92% | 1 | 2.3 | perm rep on 23 pts | ||
M22 | 45 | o | 45(a) | χ3 | C | 82% | 14.0 | exterior square of 10-dim rep of 2.M22 | |||
45(b) | χ4 | C | 82% | 14.0 | exterior square of 10-dim rep of 2.M22 | ||||||
M22 | 55 | + | 55 | χ5 | Z | 94% | 3 | 13.0 | perm rep on 77 pts | ||
M22 | 99 | + | 99 | χ6 | Z | 81% | 39 | 43.3 | perm rep on 330 pts, LLL'ed | ||
M22 | 154 | + | 154 | χ7 | Z | 96% | 3 | 98.6 | perm rep on 176 pts, LLL'ed | ||
M22 | 210 | + | 210 | χ8 | Z | 79% | 66 | 194.5 | perm rep on 462(b) pts, LLL'ed. | ||
M22 | 231 | + | 231 | χ9 | Z | 82% | 42 | 231.1 | perm rep on 462 pts, LLL'ed | ||
2.M22 | 10 | o | 10(a) | χ13 | C | 64% | 1.3 | Catalogue of lattices, Nebe & Sloane, split and reseeded | |||
10(b) | χ14 | C | 66% | 1.2 | Catalogue of lattices, Nebe & Sloane, split and reseeded | ||||||
20 | χ13+χ14 | Z | 56% | 15 | 2.4 | Catalogue of lattices, Nebe & Sloane, reseeded | |||||
2.M22 | 56 | + | 56 | χ15 | Z | 54% | 18 | 14.9 | perm rep on 352 pts | ||
2.M22 | 120 | + | 120 | χ16 | Z | 74% | 29 | 63.6 | perm rep on 352 pts | ||
2.M22 | 126 | o | No representations available | ||||||||
2.M22 | 154 | o | No representations available | ||||||||
2.M22 | 210 | + | 210 | χ21 | Z | 89% | 10 | 185.7 | perm rep on 660 pts | ||
3.M22 | 21 | o | 21(a) | χ32 | Q(ω) | 72% | 5.3 | perm rep on 693 pts | |||
3.M22 | 45 | o | No representations available | ||||||||
3.M22 | 99 | o | No representations available | ||||||||
3.M22 | 105 | o | No representations available | ||||||||
3.M22 | 210 | o | No representations available | ||||||||
3.M22 | 231 | o | No representations available | ||||||||
4.M22 | 56 | o | No representations available | ||||||||
4.M22 | 144 | o | No representations available | ||||||||
4.M22 | 160 | o | No representations available | ||||||||
4.M22 | 176 | o | No representations available | ||||||||
6.M22 | 66 | o | No representations available | ||||||||
6.M22 | 120 | o | No representations available | ||||||||
6.M22 | 126 | o | No representations available | ||||||||
6.M22 | 210 | o | No representations available | ||||||||
12.M22 | 120 | o | No representations available | ||||||||
12.M22 | 144 | o | No representations available |