Order 15600.
| 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 | 312 | 312 | 325 | 600 | 600 | 600 | 600 | 600 | 600 | 650 | 650 | 650 | 650 | 650 | 1 | 312 | 312 | 325 | 600 | 600 | 600 | 600 | 600 | 600 | 650 | 650 | 650 | 650 | 650 |
| order | 1 | 5 | 5 | 2 | 13 | 13 | 13 | 13 | 13 | 13 | 3 | 4 | 6 | 12 | 12 | 2 | 10 | 10 | 2 | 26 | 26 | 26 | 26 | 26 | 26 | 6 | 4 | 6 | 12 | 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 |
| χ2 | 13 | 3 | -2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | 1 | -1 | -1 | 13 | 3 | -2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | 1 | -1 | -1 |
| χ3 | 13 | -2 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | 1 | -1 | -1 | 13 | -2 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | 1 | -1 | -1 |
| χ4 | 24 | -1 | -1 | 0 | −ζ10−ζ62−ζ94−ζ146 | −ζ2−ζ50−ζ106−ζ154 | −ζ46−ζ58−ζ98−ζ110 | −ζ34−ζ70−ζ86−ζ122 | −ζ14−ζ38−ζ118−ζ142 | −ζ22−ζ74−ζ82−ζ134 | 0 | 0 | 0 | 0 | 0 | 24 | -1 | -1 | 0 | −ζ10−ζ62−ζ94−ζ146 | −ζ2−ζ50−ζ106−ζ154 | −ζ46−ζ58−ζ98−ζ110 | −ζ34−ζ70−ζ86−ζ122 | −ζ14−ζ38−ζ118−ζ142 | −ζ22−ζ74−ζ82−ζ134 | 0 | 0 | 0 | 0 | 0 |
| χ5 | 24 | -1 | -1 | 0 | −ζ2−ζ50−ζ106−ζ154 | −ζ10−ζ62−ζ94−ζ146 | −ζ22−ζ74−ζ82−ζ134 | −ζ14−ζ38−ζ118−ζ142 | −ζ34−ζ70−ζ86−ζ122 | −ζ46−ζ58−ζ98−ζ110 | 0 | 0 | 0 | 0 | 0 | 24 | -1 | -1 | 0 | −ζ2−ζ50−ζ106−ζ154 | −ζ10−ζ62−ζ94−ζ146 | −ζ22−ζ74−ζ82−ζ134 | −ζ14−ζ38−ζ118−ζ142 | −ζ34−ζ70−ζ86−ζ122 | −ζ46−ζ58−ζ98−ζ110 | 0 | 0 | 0 | 0 | 0 |
| χ6 | 24 | -1 | -1 | 0 | −ζ46−ζ58−ζ98−ζ110 | −ζ22−ζ74−ζ82−ζ134 | −ζ14−ζ38−ζ118−ζ142 | −ζ10−ζ62−ζ94−ζ146 | −ζ2−ζ50−ζ106−ζ154 | −ζ34−ζ70−ζ86−ζ122 | 0 | 0 | 0 | 0 | 0 | 24 | -1 | -1 | 0 | −ζ46−ζ58−ζ98−ζ110 | −ζ22−ζ74−ζ82−ζ134 | −ζ14−ζ38−ζ118−ζ142 | −ζ10−ζ62−ζ94−ζ146 | −ζ2−ζ50−ζ106−ζ154 | −ζ34−ζ70−ζ86−ζ122 | 0 | 0 | 0 | 0 | 0 |
| χ7 | 24 | -1 | -1 | 0 | −ζ34−ζ70−ζ86−ζ122 | −ζ14−ζ38−ζ118−ζ142 | −ζ10−ζ62−ζ94−ζ146 | −ζ22−ζ74−ζ82−ζ134 | −ζ46−ζ58−ζ98−ζ110 | −ζ2−ζ50−ζ106−ζ154 | 0 | 0 | 0 | 0 | 0 | 24 | -1 | -1 | 0 | −ζ34−ζ70−ζ86−ζ122 | −ζ14−ζ38−ζ118−ζ142 | −ζ10−ζ62−ζ94−ζ146 | −ζ22−ζ74−ζ82−ζ134 | −ζ46−ζ58−ζ98−ζ110 | −ζ2−ζ50−ζ106−ζ154 | 0 | 0 | 0 | 0 | 0 |
| χ8 | 24 | -1 | -1 | 0 | −ζ14−ζ38−ζ118−ζ142 | −ζ34−ζ70−ζ86−ζ122 | −ζ2−ζ50−ζ106−ζ154 | −ζ46−ζ58−ζ98−ζ110 | −ζ22−ζ74−ζ82−ζ134 | −ζ10−ζ62−ζ94−ζ146 | 0 | 0 | 0 | 0 | 0 | 24 | -1 | -1 | 0 | −ζ14−ζ38−ζ118−ζ142 | −ζ34−ζ70−ζ86−ζ122 | −ζ2−ζ50−ζ106−ζ154 | −ζ46−ζ58−ζ98−ζ110 | −ζ22−ζ74−ζ82−ζ134 | −ζ10−ζ62−ζ94−ζ146 | 0 | 0 | 0 | 0 | 0 |
| χ9 | 24 | -1 | -1 | 0 | −ζ22−ζ74−ζ82−ζ134 | −ζ46−ζ58−ζ98−ζ110 | −ζ34−ζ70−ζ86−ζ122 | −ζ2−ζ50−ζ106−ζ154 | −ζ10−ζ62−ζ94−ζ146 | −ζ14−ζ38−ζ118−ζ142 | 0 | 0 | 0 | 0 | 0 | 24 | -1 | -1 | 0 | −ζ22−ζ74−ζ82−ζ134 | −ζ46−ζ58−ζ98−ζ110 | −ζ34−ζ70−ζ86−ζ122 | −ζ2−ζ50−ζ106−ζ154 | −ζ10−ζ62−ζ94−ζ146 | −ζ14−ζ38−ζ118−ζ142 | 0 | 0 | 0 | 0 | 0 |
| χ10 | 25 | 0 | 0 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 25 | 0 | 0 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 |
| χ11 | 26 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 2 | -1 | -1 | -1 | 26 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 2 | -1 | -1 | -1 |
| χ12 | 26 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -2 | -1 | 1 | 1 | 26 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -2 | -1 | 1 | 1 |
| χ13 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | -2 | 0 | 0 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | -2 | 0 | 0 |
| χ14 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | ||||
| χ15 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | ||||
| χ16 | 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 |
| χ17 | 13 | 3 | -2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | 1 | -1 | -1 | -13 | -3 | 2 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 1 | -1 | 1 | 1 |
| χ18 | 13 | -2 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -1 | 1 | -1 | -1 | -13 | 2 | -3 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 1 | -1 | 1 | 1 |
| χ19 | 24 | -1 | -1 | 0 | −ζ10−ζ62−ζ94−ζ146 | −ζ2−ζ50−ζ106−ζ154 | −ζ46−ζ58−ζ98−ζ110 | −ζ34−ζ70−ζ86−ζ122 | −ζ14−ζ38−ζ118−ζ142 | −ζ22−ζ74−ζ82−ζ134 | 0 | 0 | 0 | 0 | 0 | -24 | 1 | 1 | 0 | ζ10+ζ62+ζ94+ζ146 | ζ2+ζ50+ζ106+ζ154 | ζ46+ζ58+ζ98+ζ110 | ζ34+ζ70+ζ86+ζ122 | ζ14+ζ38+ζ118+ζ142 | ζ22+ζ74+ζ82+ζ134 | 0 | 0 | 0 | 0 | 0 |
| χ20 | 24 | -1 | -1 | 0 | −ζ2−ζ50−ζ106−ζ154 | −ζ10−ζ62−ζ94−ζ146 | −ζ22−ζ74−ζ82−ζ134 | −ζ14−ζ38−ζ118−ζ142 | −ζ34−ζ70−ζ86−ζ122 | −ζ46−ζ58−ζ98−ζ110 | 0 | 0 | 0 | 0 | 0 | -24 | 1 | 1 | 0 | ζ2+ζ50+ζ106+ζ154 | ζ10+ζ62+ζ94+ζ146 | ζ22+ζ74+ζ82+ζ134 | ζ14+ζ38+ζ118+ζ142 | ζ34+ζ70+ζ86+ζ122 | ζ46+ζ58+ζ98+ζ110 | 0 | 0 | 0 | 0 | 0 |
| χ21 | 24 | -1 | -1 | 0 | −ζ46−ζ58−ζ98−ζ110 | −ζ22−ζ74−ζ82−ζ134 | −ζ14−ζ38−ζ118−ζ142 | −ζ10−ζ62−ζ94−ζ146 | −ζ2−ζ50−ζ106−ζ154 | −ζ34−ζ70−ζ86−ζ122 | 0 | 0 | 0 | 0 | 0 | -24 | 1 | 1 | 0 | ζ46+ζ58+ζ98+ζ110 | ζ22+ζ74+ζ82+ζ134 | ζ14+ζ38+ζ118+ζ142 | ζ10+ζ62+ζ94+ζ146 | ζ2+ζ50+ζ106+ζ154 | ζ34+ζ70+ζ86+ζ122 | 0 | 0 | 0 | 0 | 0 |
| χ22 | 24 | -1 | -1 | 0 | −ζ34−ζ70−ζ86−ζ122 | −ζ14−ζ38−ζ118−ζ142 | −ζ10−ζ62−ζ94−ζ146 | −ζ22−ζ74−ζ82−ζ134 | −ζ46−ζ58−ζ98−ζ110 | −ζ2−ζ50−ζ106−ζ154 | 0 | 0 | 0 | 0 | 0 | -24 | 1 | 1 | 0 | ζ34+ζ70+ζ86+ζ122 | ζ14+ζ38+ζ118+ζ142 | ζ10+ζ62+ζ94+ζ146 | ζ22+ζ74+ζ82+ζ134 | ζ46+ζ58+ζ98+ζ110 | ζ2+ζ50+ζ106+ζ154 | 0 | 0 | 0 | 0 | 0 |
| χ23 | 24 | -1 | -1 | 0 | −ζ14−ζ38−ζ118−ζ142 | −ζ34−ζ70−ζ86−ζ122 | −ζ2−ζ50−ζ106−ζ154 | −ζ46−ζ58−ζ98−ζ110 | −ζ22−ζ74−ζ82−ζ134 | −ζ10−ζ62−ζ94−ζ146 | 0 | 0 | 0 | 0 | 0 | -24 | 1 | 1 | 0 | ζ14+ζ38+ζ118+ζ142 | ζ34+ζ70+ζ86+ζ122 | ζ2+ζ50+ζ106+ζ154 | ζ46+ζ58+ζ98+ζ110 | ζ22+ζ74+ζ82+ζ134 | ζ10+ζ62+ζ94+ζ146 | 0 | 0 | 0 | 0 | 0 |
| χ24 | 24 | -1 | -1 | 0 | −ζ22−ζ74−ζ82−ζ134 | −ζ46−ζ58−ζ98−ζ110 | −ζ34−ζ70−ζ86−ζ122 | −ζ2−ζ50−ζ106−ζ154 | −ζ10−ζ62−ζ94−ζ146 | −ζ14−ζ38−ζ118−ζ142 | 0 | 0 | 0 | 0 | 0 | -24 | 1 | 1 | 0 | ζ22+ζ74+ζ82+ζ134 | ζ46+ζ58+ζ98+ζ110 | ζ34+ζ70+ζ86+ζ122 | ζ2+ζ50+ζ106+ζ154 | ζ10+ζ62+ζ94+ζ146 | ζ14+ζ38+ζ118+ζ142 | 0 | 0 | 0 | 0 | 0 |
| χ25 | 25 | 0 | 0 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | -25 | 0 | 0 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 |
| χ26 | 26 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 2 | -1 | -1 | -1 | -26 | -1 | -1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | -2 | 1 | 1 | 1 |
| χ27 | 26 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | -2 | -1 | 1 | 1 | -26 | -1 | -1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 1 | -1 | -1 |
| χ28 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | -2 | 0 | 0 | -26 | -1 | -1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | -2 | 0 | 2 | 0 | 0 |
| χ29 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | -26 | -1 | -1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | -1 | ||||
| χ30 | 26 | 1 | 1 | -2 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 | 1 | -26 | -1 | -1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | -1 |
Here ζ is a primitive root of unity of order 156 (ζ156 = 1).