Order 60.
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 1 | 2 | 2 | 3 | 3 | 1 | 1 | 2 | 2 | 3 | 3 | 1 | 1 | 2 | 2 | 3 | 3 | 1 | 1 | 2 | 2 | 3 | 3 | 1 | 1 | 2 | 2 | 3 | 3 |
| order | 1 | 2 | 3 | 6 | 4 | 4 | 5 | 10 | 15 | 30 | 20 | 20 | 5 | 10 | 15 | 30 | 20 | 20 | 5 | 10 | 15 | 30 | 20 | 20 | 5 | 10 | 15 | 30 | 20 | 20 |
| 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 |
| 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 |
| χ3 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||||||||||
| χ4 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | ||||||||||
| χ5 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 | 2 | 2 | -1 | -1 | 0 | 0 |
| χ6 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 | 2 | -2 | -1 | 1 | 0 | 0 |
| χ7 | 1 | 1 | 1 | 1 | 1 | 1 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 |
| χ8 | 1 | 1 | 1 | 1 | -1 | -1 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | ζ14 | ζ14 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | ζ18 | ζ18 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | ζ2 | ζ2 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | ζ6 | ζ6 |
| χ9 | 1 | -1 | 1 | -1 | −ζ14 | ζ14 | −ζ14 | ζ14 | −ζ19 | ζ19 | −ζ18 | ζ18 | −ζ18 | ζ18 | −ζ3 | ζ3 | −ζ2 | ζ2 | −ζ2 | ζ2 | −ζ7 | ζ7 | −ζ6 | ζ6 | −ζ6 | ζ6 | −ζ11 | ζ11 | ||
| χ10 | 1 | -1 | 1 | -1 | −ζ14 | ζ14 | −ζ14 | ζ14 | ζ19 | −ζ19 | −ζ18 | ζ18 | −ζ18 | ζ18 | ζ3 | −ζ3 | −ζ2 | ζ2 | −ζ2 | ζ2 | ζ7 | −ζ7 | −ζ6 | ζ6 | −ζ6 | ζ6 | ζ11 | −ζ11 | ||
| χ11 | 2 | 2 | -1 | -1 | 0 | 0 | −2ζ14 | −2ζ14 | ζ14 | ζ14 | 0 | 0 | −2ζ18 | −2ζ18 | ζ18 | ζ18 | 0 | 0 | −2ζ2 | −2ζ2 | ζ2 | ζ2 | 0 | 0 | −2ζ6 | −2ζ6 | ζ6 | ζ6 | 0 | 0 |
| χ12 | 2 | -2 | -1 | 1 | 0 | 0 | −2ζ14 | 2ζ14 | ζ14 | −ζ14 | 0 | 0 | −2ζ18 | 2ζ18 | ζ18 | −ζ18 | 0 | 0 | −2ζ2 | 2ζ2 | ζ2 | −ζ2 | 0 | 0 | −2ζ6 | 2ζ6 | ζ6 | −ζ6 | 0 | 0 |
| χ13 | 1 | 1 | 1 | 1 | 1 | 1 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 |
| χ14 | 1 | 1 | 1 | 1 | -1 | -1 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | ζ18 | ζ18 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | ζ6 | ζ6 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | ζ14 | ζ14 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | ζ2 | ζ2 |
| χ15 | 1 | -1 | 1 | -1 | −ζ18 | ζ18 | −ζ18 | ζ18 | −ζ3 | ζ3 | −ζ6 | ζ6 | −ζ6 | ζ6 | −ζ11 | ζ11 | −ζ14 | ζ14 | −ζ14 | ζ14 | −ζ19 | ζ19 | −ζ2 | ζ2 | −ζ2 | ζ2 | −ζ7 | ζ7 | ||
| χ16 | 1 | -1 | 1 | -1 | −ζ18 | ζ18 | −ζ18 | ζ18 | ζ3 | −ζ3 | −ζ6 | ζ6 | −ζ6 | ζ6 | ζ11 | −ζ11 | −ζ14 | ζ14 | −ζ14 | ζ14 | ζ19 | −ζ19 | −ζ2 | ζ2 | −ζ2 | ζ2 | ζ7 | −ζ7 | ||
| χ17 | 2 | 2 | -1 | -1 | 0 | 0 | −2ζ18 | −2ζ18 | ζ18 | ζ18 | 0 | 0 | −2ζ6 | −2ζ6 | ζ6 | ζ6 | 0 | 0 | −2ζ14 | −2ζ14 | ζ14 | ζ14 | 0 | 0 | −2ζ2 | −2ζ2 | ζ2 | ζ2 | 0 | 0 |
| χ18 | 2 | -2 | -1 | 1 | 0 | 0 | −2ζ18 | 2ζ18 | ζ18 | −ζ18 | 0 | 0 | −2ζ6 | 2ζ6 | ζ6 | −ζ6 | 0 | 0 | −2ζ14 | 2ζ14 | ζ14 | −ζ14 | 0 | 0 | −2ζ2 | 2ζ2 | ζ2 | −ζ2 | 0 | 0 |
| χ19 | 1 | 1 | 1 | 1 | 1 | 1 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 |
| χ20 | 1 | 1 | 1 | 1 | -1 | -1 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | ζ2 | ζ2 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | ζ14 | ζ14 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | ζ6 | ζ6 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | ζ18 | ζ18 |
| χ21 | 1 | -1 | 1 | -1 | −ζ2 | ζ2 | −ζ2 | ζ2 | −ζ7 | ζ7 | −ζ14 | ζ14 | −ζ14 | ζ14 | −ζ19 | ζ19 | −ζ6 | ζ6 | −ζ6 | ζ6 | −ζ11 | ζ11 | −ζ18 | ζ18 | −ζ18 | ζ18 | −ζ3 | ζ3 | ||
| χ22 | 1 | -1 | 1 | -1 | −ζ2 | ζ2 | −ζ2 | ζ2 | ζ7 | −ζ7 | −ζ14 | ζ14 | −ζ14 | ζ14 | ζ19 | −ζ19 | −ζ6 | ζ6 | −ζ6 | ζ6 | ζ11 | −ζ11 | −ζ18 | ζ18 | −ζ18 | ζ18 | ζ3 | −ζ3 | ||
| χ23 | 2 | 2 | -1 | -1 | 0 | 0 | −2ζ2 | −2ζ2 | ζ2 | ζ2 | 0 | 0 | −2ζ14 | −2ζ14 | ζ14 | ζ14 | 0 | 0 | −2ζ6 | −2ζ6 | ζ6 | ζ6 | 0 | 0 | −2ζ18 | −2ζ18 | ζ18 | ζ18 | 0 | 0 |
| χ24 | 2 | -2 | -1 | 1 | 0 | 0 | −2ζ2 | 2ζ2 | ζ2 | −ζ2 | 0 | 0 | −2ζ14 | 2ζ14 | ζ14 | −ζ14 | 0 | 0 | −2ζ6 | 2ζ6 | ζ6 | −ζ6 | 0 | 0 | −2ζ18 | 2ζ18 | ζ18 | −ζ18 | 0 | 0 |
| χ25 | 1 | 1 | 1 | 1 | 1 | 1 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | −ζ14 |
| χ26 | 1 | 1 | 1 | 1 | -1 | -1 | −ζ6 | −ζ6 | −ζ6 | −ζ6 | ζ6 | ζ6 | −ζ2 | −ζ2 | −ζ2 | −ζ2 | ζ2 | ζ2 | −ζ18 | −ζ18 | −ζ18 | −ζ18 | ζ18 | ζ18 | −ζ14 | −ζ14 | −ζ14 | −ζ14 | ζ14 | ζ14 |
| χ27 | 1 | -1 | 1 | -1 | −ζ6 | ζ6 | −ζ6 | ζ6 | −ζ11 | ζ11 | −ζ2 | ζ2 | −ζ2 | ζ2 | −ζ7 | ζ7 | −ζ18 | ζ18 | −ζ18 | ζ18 | −ζ3 | ζ3 | −ζ14 | ζ14 | −ζ14 | ζ14 | −ζ19 | ζ19 | ||
| χ28 | 1 | -1 | 1 | -1 | −ζ6 | ζ6 | −ζ6 | ζ6 | ζ11 | −ζ11 | −ζ2 | ζ2 | −ζ2 | ζ2 | ζ7 | −ζ7 | −ζ18 | ζ18 | −ζ18 | ζ18 | ζ3 | −ζ3 | −ζ14 | ζ14 | −ζ14 | ζ14 | ζ19 | −ζ19 | ||
| χ29 | 2 | 2 | -1 | -1 | 0 | 0 | −2ζ6 | −2ζ6 | ζ6 | ζ6 | 0 | 0 | −2ζ2 | −2ζ2 | ζ2 | ζ2 | 0 | 0 | −2ζ18 | −2ζ18 | ζ18 | ζ18 | 0 | 0 | −2ζ14 | −2ζ14 | ζ14 | ζ14 | 0 | 0 |
| χ30 | 2 | -2 | -1 | 1 | 0 | 0 | −2ζ6 | 2ζ6 | ζ6 | −ζ6 | 0 | 0 | −2ζ2 | 2ζ2 | ζ2 | −ζ2 | 0 | 0 | −2ζ18 | 2ζ18 | ζ18 | −ζ18 | 0 | 0 | −2ζ14 | 2ζ14 | ζ14 | −ζ14 | 0 | 0 |
Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.