Order 106.
| 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 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 53 |
| order | 1 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 53 | 2 |
| 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 |
| 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 |
| χ3 | 2 | ζ+ζ52 | ζ2+ζ51 | ζ3+ζ50 | ζ4+ζ49 | ζ5+ζ48 | ζ6+ζ47 | ζ7+ζ46 | ζ8+ζ45 | ζ9+ζ44 | ζ10+ζ43 | ζ11+ζ42 | ζ12+ζ41 | ζ13+ζ40 | ζ14+ζ39 | ζ15+ζ38 | ζ16+ζ37 | ζ17+ζ36 | ζ18+ζ35 | ζ19+ζ34 | ζ20+ζ33 | ζ21+ζ32 | ζ22+ζ31 | ζ23+ζ30 | ζ24+ζ29 | ζ25+ζ28 | ζ26+ζ27 | 0 |
| χ4 | 2 | ζ2+ζ51 | ζ4+ζ49 | ζ6+ζ47 | ζ8+ζ45 | ζ10+ζ43 | ζ12+ζ41 | ζ14+ζ39 | ζ16+ζ37 | ζ18+ζ35 | ζ20+ζ33 | ζ22+ζ31 | ζ24+ζ29 | ζ26+ζ27 | ζ25+ζ28 | ζ23+ζ30 | ζ21+ζ32 | ζ19+ζ34 | ζ17+ζ36 | ζ15+ζ38 | ζ13+ζ40 | ζ11+ζ42 | ζ9+ζ44 | ζ7+ζ46 | ζ5+ζ48 | ζ3+ζ50 | ζ+ζ52 | 0 |
| χ5 | 2 | ζ3+ζ50 | ζ6+ζ47 | ζ9+ζ44 | ζ12+ζ41 | ζ15+ζ38 | ζ18+ζ35 | ζ21+ζ32 | ζ24+ζ29 | ζ26+ζ27 | ζ23+ζ30 | ζ20+ζ33 | ζ17+ζ36 | ζ14+ζ39 | ζ11+ζ42 | ζ8+ζ45 | ζ5+ζ48 | ζ2+ζ51 | ζ+ζ52 | ζ4+ζ49 | ζ7+ζ46 | ζ10+ζ43 | ζ13+ζ40 | ζ16+ζ37 | ζ19+ζ34 | ζ22+ζ31 | ζ25+ζ28 | 0 |
| χ6 | 2 | ζ4+ζ49 | ζ8+ζ45 | ζ12+ζ41 | ζ16+ζ37 | ζ20+ζ33 | ζ24+ζ29 | ζ25+ζ28 | ζ21+ζ32 | ζ17+ζ36 | ζ13+ζ40 | ζ9+ζ44 | ζ5+ζ48 | ζ+ζ52 | ζ3+ζ50 | ζ7+ζ46 | ζ11+ζ42 | ζ15+ζ38 | ζ19+ζ34 | ζ23+ζ30 | ζ26+ζ27 | ζ22+ζ31 | ζ18+ζ35 | ζ14+ζ39 | ζ10+ζ43 | ζ6+ζ47 | ζ2+ζ51 | 0 |
| χ7 | 2 | ζ5+ζ48 | ζ10+ζ43 | ζ15+ζ38 | ζ20+ζ33 | ζ25+ζ28 | ζ23+ζ30 | ζ18+ζ35 | ζ13+ζ40 | ζ8+ζ45 | ζ3+ζ50 | ζ2+ζ51 | ζ7+ζ46 | ζ12+ζ41 | ζ17+ζ36 | ζ22+ζ31 | ζ26+ζ27 | ζ21+ζ32 | ζ16+ζ37 | ζ11+ζ42 | ζ6+ζ47 | ζ+ζ52 | ζ4+ζ49 | ζ9+ζ44 | ζ14+ζ39 | ζ19+ζ34 | ζ24+ζ29 | 0 |
| χ8 | 2 | ζ6+ζ47 | ζ12+ζ41 | ζ18+ζ35 | ζ24+ζ29 | ζ23+ζ30 | ζ17+ζ36 | ζ11+ζ42 | ζ5+ζ48 | ζ+ζ52 | ζ7+ζ46 | ζ13+ζ40 | ζ19+ζ34 | ζ25+ζ28 | ζ22+ζ31 | ζ16+ζ37 | ζ10+ζ43 | ζ4+ζ49 | ζ2+ζ51 | ζ8+ζ45 | ζ14+ζ39 | ζ20+ζ33 | ζ26+ζ27 | ζ21+ζ32 | ζ15+ζ38 | ζ9+ζ44 | ζ3+ζ50 | 0 |
| χ9 | 2 | ζ7+ζ46 | ζ14+ζ39 | ζ21+ζ32 | ζ25+ζ28 | ζ18+ζ35 | ζ11+ζ42 | ζ4+ζ49 | ζ3+ζ50 | ζ10+ζ43 | ζ17+ζ36 | ζ24+ζ29 | ζ22+ζ31 | ζ15+ζ38 | ζ8+ζ45 | ζ+ζ52 | ζ6+ζ47 | ζ13+ζ40 | ζ20+ζ33 | ζ26+ζ27 | ζ19+ζ34 | ζ12+ζ41 | ζ5+ζ48 | ζ2+ζ51 | ζ9+ζ44 | ζ16+ζ37 | ζ23+ζ30 | 0 |
| χ10 | 2 | ζ8+ζ45 | ζ16+ζ37 | ζ24+ζ29 | ζ21+ζ32 | ζ13+ζ40 | ζ5+ζ48 | ζ3+ζ50 | ζ11+ζ42 | ζ19+ζ34 | ζ26+ζ27 | ζ18+ζ35 | ζ10+ζ43 | ζ2+ζ51 | ζ6+ζ47 | ζ14+ζ39 | ζ22+ζ31 | ζ23+ζ30 | ζ15+ζ38 | ζ7+ζ46 | ζ+ζ52 | ζ9+ζ44 | ζ17+ζ36 | ζ25+ζ28 | ζ20+ζ33 | ζ12+ζ41 | ζ4+ζ49 | 0 |
| χ11 | 2 | ζ9+ζ44 | ζ18+ζ35 | ζ26+ζ27 | ζ17+ζ36 | ζ8+ζ45 | ζ+ζ52 | ζ10+ζ43 | ζ19+ζ34 | ζ25+ζ28 | ζ16+ζ37 | ζ7+ζ46 | ζ2+ζ51 | ζ11+ζ42 | ζ20+ζ33 | ζ24+ζ29 | ζ15+ζ38 | ζ6+ζ47 | ζ3+ζ50 | ζ12+ζ41 | ζ21+ζ32 | ζ23+ζ30 | ζ14+ζ39 | ζ5+ζ48 | ζ4+ζ49 | ζ13+ζ40 | ζ22+ζ31 | 0 |
| χ12 | 2 | ζ10+ζ43 | ζ20+ζ33 | ζ23+ζ30 | ζ13+ζ40 | ζ3+ζ50 | ζ7+ζ46 | ζ17+ζ36 | ζ26+ζ27 | ζ16+ζ37 | ζ6+ζ47 | ζ4+ζ49 | ζ14+ζ39 | ζ24+ζ29 | ζ19+ζ34 | ζ9+ζ44 | ζ+ζ52 | ζ11+ζ42 | ζ21+ζ32 | ζ22+ζ31 | ζ12+ζ41 | ζ2+ζ51 | ζ8+ζ45 | ζ18+ζ35 | ζ25+ζ28 | ζ15+ζ38 | ζ5+ζ48 | 0 |
| χ13 | 2 | ζ11+ζ42 | ζ22+ζ31 | ζ20+ζ33 | ζ9+ζ44 | ζ2+ζ51 | ζ13+ζ40 | ζ24+ζ29 | ζ18+ζ35 | ζ7+ζ46 | ζ4+ζ49 | ζ15+ζ38 | ζ26+ζ27 | ζ16+ζ37 | ζ5+ζ48 | ζ6+ζ47 | ζ17+ζ36 | ζ25+ζ28 | ζ14+ζ39 | ζ3+ζ50 | ζ8+ζ45 | ζ19+ζ34 | ζ23+ζ30 | ζ12+ζ41 | ζ+ζ52 | ζ10+ζ43 | ζ21+ζ32 | 0 |
| χ14 | 2 | ζ12+ζ41 | ζ24+ζ29 | ζ17+ζ36 | ζ5+ζ48 | ζ7+ζ46 | ζ19+ζ34 | ζ22+ζ31 | ζ10+ζ43 | ζ2+ζ51 | ζ14+ζ39 | ζ26+ζ27 | ζ15+ζ38 | ζ3+ζ50 | ζ9+ζ44 | ζ21+ζ32 | ζ20+ζ33 | ζ8+ζ45 | ζ4+ζ49 | ζ16+ζ37 | ζ25+ζ28 | ζ13+ζ40 | ζ+ζ52 | ζ11+ζ42 | ζ23+ζ30 | ζ18+ζ35 | ζ6+ζ47 | 0 |
| χ15 | 2 | ζ13+ζ40 | ζ26+ζ27 | ζ14+ζ39 | ζ+ζ52 | ζ12+ζ41 | ζ25+ζ28 | ζ15+ζ38 | ζ2+ζ51 | ζ11+ζ42 | ζ24+ζ29 | ζ16+ζ37 | ζ3+ζ50 | ζ10+ζ43 | ζ23+ζ30 | ζ17+ζ36 | ζ4+ζ49 | ζ9+ζ44 | ζ22+ζ31 | ζ18+ζ35 | ζ5+ζ48 | ζ8+ζ45 | ζ21+ζ32 | ζ19+ζ34 | ζ6+ζ47 | ζ7+ζ46 | ζ20+ζ33 | 0 |
| χ16 | 2 | ζ14+ζ39 | ζ25+ζ28 | ζ11+ζ42 | ζ3+ζ50 | ζ17+ζ36 | ζ22+ζ31 | ζ8+ζ45 | ζ6+ζ47 | ζ20+ζ33 | ζ19+ζ34 | ζ5+ζ48 | ζ9+ζ44 | ζ23+ζ30 | ζ16+ζ37 | ζ2+ζ51 | ζ12+ζ41 | ζ26+ζ27 | ζ13+ζ40 | ζ+ζ52 | ζ15+ζ38 | ζ24+ζ29 | ζ10+ζ43 | ζ4+ζ49 | ζ18+ζ35 | ζ21+ζ32 | ζ7+ζ46 | 0 |
| χ17 | 2 | ζ15+ζ38 | ζ23+ζ30 | ζ8+ζ45 | ζ7+ζ46 | ζ22+ζ31 | ζ16+ζ37 | ζ+ζ52 | ζ14+ζ39 | ζ24+ζ29 | ζ9+ζ44 | ζ6+ζ47 | ζ21+ζ32 | ζ17+ζ36 | ζ2+ζ51 | ζ13+ζ40 | ζ25+ζ28 | ζ10+ζ43 | ζ5+ζ48 | ζ20+ζ33 | ζ18+ζ35 | ζ3+ζ50 | ζ12+ζ41 | ζ26+ζ27 | ζ11+ζ42 | ζ4+ζ49 | ζ19+ζ34 | 0 |
| χ18 | 2 | ζ16+ζ37 | ζ21+ζ32 | ζ5+ζ48 | ζ11+ζ42 | ζ26+ζ27 | ζ10+ζ43 | ζ6+ζ47 | ζ22+ζ31 | ζ15+ζ38 | ζ+ζ52 | ζ17+ζ36 | ζ20+ζ33 | ζ4+ζ49 | ζ12+ζ41 | ζ25+ζ28 | ζ9+ζ44 | ζ7+ζ46 | ζ23+ζ30 | ζ14+ζ39 | ζ2+ζ51 | ζ18+ζ35 | ζ19+ζ34 | ζ3+ζ50 | ζ13+ζ40 | ζ24+ζ29 | ζ8+ζ45 | 0 |
| χ19 | 2 | ζ17+ζ36 | ζ19+ζ34 | ζ2+ζ51 | ζ15+ζ38 | ζ21+ζ32 | ζ4+ζ49 | ζ13+ζ40 | ζ23+ζ30 | ζ6+ζ47 | ζ11+ζ42 | ζ25+ζ28 | ζ8+ζ45 | ζ9+ζ44 | ζ26+ζ27 | ζ10+ζ43 | ζ7+ζ46 | ζ24+ζ29 | ζ12+ζ41 | ζ5+ζ48 | ζ22+ζ31 | ζ14+ζ39 | ζ3+ζ50 | ζ20+ζ33 | ζ16+ζ37 | ζ+ζ52 | ζ18+ζ35 | 0 |
| χ20 | 2 | ζ18+ζ35 | ζ17+ζ36 | ζ+ζ52 | ζ19+ζ34 | ζ16+ζ37 | ζ2+ζ51 | ζ20+ζ33 | ζ15+ζ38 | ζ3+ζ50 | ζ21+ζ32 | ζ14+ζ39 | ζ4+ζ49 | ζ22+ζ31 | ζ13+ζ40 | ζ5+ζ48 | ζ23+ζ30 | ζ12+ζ41 | ζ6+ζ47 | ζ24+ζ29 | ζ11+ζ42 | ζ7+ζ46 | ζ25+ζ28 | ζ10+ζ43 | ζ8+ζ45 | ζ26+ζ27 | ζ9+ζ44 | 0 |
| χ21 | 2 | ζ19+ζ34 | ζ15+ζ38 | ζ4+ζ49 | ζ23+ζ30 | ζ11+ζ42 | ζ8+ζ45 | ζ26+ζ27 | ζ7+ζ46 | ζ12+ζ41 | ζ22+ζ31 | ζ3+ζ50 | ζ16+ζ37 | ζ18+ζ35 | ζ+ζ52 | ζ20+ζ33 | ζ14+ζ39 | ζ5+ζ48 | ζ24+ζ29 | ζ10+ζ43 | ζ9+ζ44 | ζ25+ζ28 | ζ6+ζ47 | ζ13+ζ40 | ζ21+ζ32 | ζ2+ζ51 | ζ17+ζ36 | 0 |
| χ22 | 2 | ζ20+ζ33 | ζ13+ζ40 | ζ7+ζ46 | ζ26+ζ27 | ζ6+ζ47 | ζ14+ζ39 | ζ19+ζ34 | ζ+ζ52 | ζ21+ζ32 | ζ12+ζ41 | ζ8+ζ45 | ζ25+ζ28 | ζ5+ζ48 | ζ15+ζ38 | ζ18+ζ35 | ζ2+ζ51 | ζ22+ζ31 | ζ11+ζ42 | ζ9+ζ44 | ζ24+ζ29 | ζ4+ζ49 | ζ16+ζ37 | ζ17+ζ36 | ζ3+ζ50 | ζ23+ζ30 | ζ10+ζ43 | 0 |
| χ23 | 2 | ζ21+ζ32 | ζ11+ζ42 | ζ10+ζ43 | ζ22+ζ31 | ζ+ζ52 | ζ20+ζ33 | ζ12+ζ41 | ζ9+ζ44 | ζ23+ζ30 | ζ2+ζ51 | ζ19+ζ34 | ζ13+ζ40 | ζ8+ζ45 | ζ24+ζ29 | ζ3+ζ50 | ζ18+ζ35 | ζ14+ζ39 | ζ7+ζ46 | ζ25+ζ28 | ζ4+ζ49 | ζ17+ζ36 | ζ15+ζ38 | ζ6+ζ47 | ζ26+ζ27 | ζ5+ζ48 | ζ16+ζ37 | 0 |
| χ24 | 2 | ζ22+ζ31 | ζ9+ζ44 | ζ13+ζ40 | ζ18+ζ35 | ζ4+ζ49 | ζ26+ζ27 | ζ5+ζ48 | ζ17+ζ36 | ζ14+ζ39 | ζ8+ζ45 | ζ23+ζ30 | ζ+ζ52 | ζ21+ζ32 | ζ10+ζ43 | ζ12+ζ41 | ζ19+ζ34 | ζ3+ζ50 | ζ25+ζ28 | ζ6+ζ47 | ζ16+ζ37 | ζ15+ζ38 | ζ7+ζ46 | ζ24+ζ29 | ζ2+ζ51 | ζ20+ζ33 | ζ11+ζ42 | 0 |
| χ25 | 2 | ζ23+ζ30 | ζ7+ζ46 | ζ16+ζ37 | ζ14+ζ39 | ζ9+ζ44 | ζ21+ζ32 | ζ2+ζ51 | ζ25+ζ28 | ζ5+ζ48 | ζ18+ζ35 | ζ12+ζ41 | ζ11+ζ42 | ζ19+ζ34 | ζ4+ζ49 | ζ26+ζ27 | ζ3+ζ50 | ζ20+ζ33 | ζ10+ζ43 | ζ13+ζ40 | ζ17+ζ36 | ζ6+ζ47 | ζ24+ζ29 | ζ+ζ52 | ζ22+ζ31 | ζ8+ζ45 | ζ15+ζ38 | 0 |
| χ26 | 2 | ζ24+ζ29 | ζ5+ζ48 | ζ19+ζ34 | ζ10+ζ43 | ζ14+ζ39 | ζ15+ζ38 | ζ9+ζ44 | ζ20+ζ33 | ζ4+ζ49 | ζ25+ζ28 | ζ+ζ52 | ζ23+ζ30 | ζ6+ζ47 | ζ18+ζ35 | ζ11+ζ42 | ζ13+ζ40 | ζ16+ζ37 | ζ8+ζ45 | ζ21+ζ32 | ζ3+ζ50 | ζ26+ζ27 | ζ2+ζ51 | ζ22+ζ31 | ζ7+ζ46 | ζ17+ζ36 | ζ12+ζ41 | 0 |
| χ27 | 2 | ζ25+ζ28 | ζ3+ζ50 | ζ22+ζ31 | ζ6+ζ47 | ζ19+ζ34 | ζ9+ζ44 | ζ16+ζ37 | ζ12+ζ41 | ζ13+ζ40 | ζ15+ζ38 | ζ10+ζ43 | ζ18+ζ35 | ζ7+ζ46 | ζ21+ζ32 | ζ4+ζ49 | ζ24+ζ29 | ζ+ζ52 | ζ26+ζ27 | ζ2+ζ51 | ζ23+ζ30 | ζ5+ζ48 | ζ20+ζ33 | ζ8+ζ45 | ζ17+ζ36 | ζ11+ζ42 | ζ14+ζ39 | 0 |
| χ28 | 2 | ζ26+ζ27 | ζ+ζ52 | ζ25+ζ28 | ζ2+ζ51 | ζ24+ζ29 | ζ3+ζ50 | ζ23+ζ30 | ζ4+ζ49 | ζ22+ζ31 | ζ5+ζ48 | ζ21+ζ32 | ζ6+ζ47 | ζ20+ζ33 | ζ7+ζ46 | ζ19+ζ34 | ζ8+ζ45 | ζ18+ζ35 | ζ9+ζ44 | ζ17+ζ36 | ζ10+ζ43 | ζ16+ζ37 | ζ11+ζ42 | ζ15+ζ38 | ζ12+ζ41 | ζ14+ζ39 | ζ13+ζ40 | 0 |
Here ζ is a primitive root of unity of order 53 (ζ53 = 1).