Order 1080.
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | C17 | C18 | C19 | C20 | C21 | C22 | C23 | C24 | C25 | C26 | C27 | C28 | C29 | C30 | C31 | C32 | C33 | C34 | C35 | C36 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 2 | 15 | 20 | 24 | 24 | 24 | 30 | 30 | 40 | 60 | 90 | 1 | 2 | 15 | 20 | 24 | 24 | 24 | 30 | 30 | 40 | 60 | 90 | 1 | 2 | 15 | 20 | 24 | 24 | 24 | 30 | 30 | 40 | 60 | 90 |
| order | 1 | 3 | 2 | 3 | 5 | 15 | 15 | 2 | 6 | 3 | 6 | 4 | 3 | 3 | 6 | 3 | 15 | 15 | 15 | 6 | 6 | 3 | 6 | 12 | 3 | 3 | 6 | 3 | 15 | 15 | 15 | 6 | 6 | 3 | 6 | 12 |
| χ1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| χ2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 |
| χ3 | 2 | -1 | 2 | 2 | 2 | -1 | -1 | 0 | -1 | -1 | 0 | 0 | 2 | -1 | 2 | 2 | 2 | -1 | -1 | 0 | -1 | -1 | 0 | 0 | 2 | -1 | 2 | 2 | 2 | -1 | -1 | 0 | -1 | -1 | 0 | 0 |
| χ4 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | 2 | 0 | 1 | -1 | 0 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | 2 | 0 | 1 | -1 | 0 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | 2 | 0 | 1 | -1 | 0 |
| χ5 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | -2 | 0 | 1 | 1 | 0 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | -2 | 0 | 1 | 1 | 0 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | -2 | 0 | 1 | 1 | 0 |
| χ6 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | 1 | 1 | -1 | 1 | -1 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | 1 | 1 | -1 | 1 | -1 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | 1 | 1 | -1 | 1 | -1 |
| χ7 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | -1 | 1 | -1 | -1 | 1 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | -1 | 1 | -1 | -1 | 1 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | -1 | 1 | -1 | -1 | 1 |
| χ8 | 6 | 6 | -2 | 0 | 1 | 1 | 1 | 0 | -2 | 0 | 0 | 0 | 6 | 6 | -2 | 0 | 1 | 1 | 1 | 0 | -2 | 0 | 0 | 0 | 6 | 6 | -2 | 0 | 1 | 1 | 1 | 0 | -2 | 0 | 0 | 0 |
| χ9 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | ||||||
| χ10 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | ||||||
| χ11 | 8 | -4 | 0 | 2 | -2 | 1 | 1 | 0 | 0 | -1 | 0 | 0 | 8 | -4 | 0 | 2 | -2 | 1 | 1 | 0 | 0 | -1 | 0 | 0 | 8 | -4 | 0 | 2 | -2 | 1 | 1 | 0 | 0 | -1 | 0 | 0 |
| χ12 | 10 | -5 | 2 | -2 | 0 | 0 | 0 | 0 | -1 | 1 | 0 | 0 | 10 | -5 | 2 | -2 | 0 | 0 | 0 | 0 | -1 | 1 | 0 | 0 | 10 | -5 | 2 | -2 | 0 | 0 | 0 | 0 | -1 | 1 | 0 | 0 |
| χ13 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||||||||||||||
| χ14 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | ||||||||||||||||||||||||
| χ15 | 2 | -1 | 2 | 2 | 2 | -1 | -1 | 0 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ16 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | 2 | 0 | 1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ17 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | -2 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ18 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | 1 | 1 | -1 | 1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ19 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | -1 | 1 | -1 | -1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ20 | 6 | 6 | -2 | 0 | 1 | 1 | 1 | 0 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ21 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | ζ+ζ4−ζ7+ζ11−ζ13+ζ14 | −ζ+ζ2−ζ4+ζ7+ζ8+ζ13 | 0 | 0 | 0 | 0 | 0 | ζ2+ζ7+ζ8−ζ11+ζ13−ζ14 | ζ−ζ2+ζ4−ζ8+ζ11+ζ14 | 0 | 0 | 0 | 0 | ||||||||||||
| χ22 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | −ζ+ζ2−ζ4+ζ7+ζ8+ζ13 | ζ+ζ4−ζ7+ζ11−ζ13+ζ14 | 0 | 0 | 0 | 0 | 0 | ζ−ζ2+ζ4−ζ8+ζ11+ζ14 | ζ2+ζ7+ζ8−ζ11+ζ13−ζ14 | 0 | 0 | 0 | 0 | ||||||||||||
| χ23 | 8 | -4 | 0 | 2 | -2 | 1 | 1 | 0 | 0 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ24 | 10 | -5 | 2 | -2 | 0 | 0 | 0 | 0 | -1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||
| χ25 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||||||||||||||||||||||||
| χ26 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | -1 | -1 | ||||||||||||||||||||||||
| χ27 | 2 | -1 | 2 | 2 | 2 | -1 | -1 | 0 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ28 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | 2 | 0 | 1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ29 | 4 | 4 | 0 | 1 | -1 | -1 | -1 | -2 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ30 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | 1 | 1 | -1 | 1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ31 | 5 | 5 | 1 | -1 | 0 | 0 | 0 | -1 | 1 | -1 | -1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||
| χ32 | 6 | 6 | -2 | 0 | 1 | 1 | 1 | 0 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ33 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | ζ2+ζ7+ζ8−ζ11+ζ13−ζ14 | ζ−ζ2+ζ4−ζ8+ζ11+ζ14 | 0 | 0 | 0 | 0 | 0 | ζ+ζ4−ζ7+ζ11−ζ13+ζ14 | −ζ+ζ2−ζ4+ζ7+ζ8+ζ13 | 0 | 0 | 0 | 0 | ||||||||||||
| χ34 | 6 | -3 | -2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | ζ−ζ2+ζ4−ζ8+ζ11+ζ14 | ζ2+ζ7+ζ8−ζ11+ζ13−ζ14 | 0 | 0 | 0 | 0 | 0 | −ζ+ζ2−ζ4+ζ7+ζ8+ζ13 | ζ+ζ4−ζ7+ζ11−ζ13+ζ14 | 0 | 0 | 0 | 0 | ||||||||||||
| χ35 | 8 | -4 | 0 | 2 | -2 | 1 | 1 | 0 | 0 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||
| χ36 | 10 | -5 | 2 | -2 | 0 | 0 | 0 | 0 | -1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.