Order 144.
| 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 | C37 | C38 | C39 | C40 | C41 | C42 | C43 | C44 | C45 | C46 | C47 | C48 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 | 1 | 2 | 2 | 2 | 2 | 9 |
| order | 1 | 3 | 9 | 9 | 9 | 2 | 8 | 24 | 72 | 72 | 72 | 8 | 4 | 12 | 36 | 36 | 36 | 4 | 8 | 24 | 72 | 72 | 72 | 8 | 2 | 6 | 18 | 18 | 18 | 2 | 8 | 24 | 72 | 72 | 72 | 8 | 4 | 12 | 36 | 36 | 36 | 4 | 8 | 24 | 72 | 72 | 72 | 8 |
| 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 | 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 | 1 | 1 | 1 | 1 | 1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 |
| χ3 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 |
| χ4 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 |
| χ5 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 |
| χ6 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 |
| χ7 | 1 | 1 | 1 | 1 | 1 | 1 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | -1 | -1 | -1 | -1 | -1 | -1 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | ||||||||||||
| χ8 | 1 | 1 | 1 | 1 | 1 | -1 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | −ζ21−ζ69 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | −ζ15−ζ39 | -1 | -1 | -1 | -1 | -1 | 1 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | ζ21+ζ69 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | ζ15+ζ39 | ||||||||||||
| χ9 | 2 | 2 | -1 | -1 | -1 | 0 | 2ζ21+2ζ69 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | 0 | 0 | 2ζ15+2ζ39 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | −2ζ21−2ζ69 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | 0 | 0 | −2ζ15−2ζ39 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | 0 | ||||||||||
| χ10 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | ζ23+ζ31 | 0 | ||||
| χ11 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ7−ζ23−ζ71 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | 0 | ||||
| χ12 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | 0 | ||||
| χ13 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 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 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | ||||||||||||||||||||||||
| χ15 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 0 | ||||||||||||||||||||
| χ16 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | ||||||||
| χ17 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | ||||||||
| χ18 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | ||||||||
| χ19 | 1 | 1 | 1 | 1 | 1 | 1 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | -1 | -1 | -1 | -1 | -1 | -1 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | ||||||||||||
| χ20 | 1 | 1 | 1 | 1 | 1 | -1 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | −ζ15−ζ39 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | −ζ21−ζ69 | -1 | -1 | -1 | -1 | -1 | 1 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | ζ15+ζ39 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | ζ21+ζ69 | ||||||||||||
| χ21 | 2 | 2 | -1 | -1 | -1 | 0 | 2ζ15+2ζ39 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | 0 | 0 | 2ζ21+2ζ69 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | −2ζ15−2ζ39 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | 0 | 0 | −2ζ21−2ζ69 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | 0 | ||||||||||
| χ22 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | ζ23+ζ31 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | 0 | ||||
| χ23 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ7−ζ23−ζ71 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | 0 | ||||
| χ24 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | 0 | ||||
| χ25 | 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 | 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 | 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 |
| χ27 | 2 | 2 | -1 | -1 | -1 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | -2 | -2 | 1 | 1 | 1 | 0 |
| χ28 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 |
| χ29 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 |
| χ30 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 |
| χ31 | 1 | 1 | 1 | 1 | 1 | 1 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | -1 | -1 | -1 | -1 | -1 | -1 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ||||||||||||
| χ32 | 1 | 1 | 1 | 1 | 1 | -1 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | ζ21+ζ69 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | ζ15+ζ39 | -1 | -1 | -1 | -1 | -1 | 1 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | −ζ21−ζ69 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | −ζ15−ζ39 | ||||||||||||
| χ33 | 2 | 2 | -1 | -1 | -1 | 0 | −2ζ21−2ζ69 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | 0 | 0 | −2ζ15−2ζ39 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 2ζ21+2ζ69 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | 0 | 0 | 2ζ15+2ζ39 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | 0 | ||||||||||
| χ34 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | ζ23+ζ31 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | 0 | ||||
| χ35 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ7−ζ23−ζ71 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | 0 | ||||
| χ36 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | 0 | ||||
| χ37 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | ||||||||||||||||||||||||
| χ38 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | ||||||||||||||||||||||||
| χ39 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 0 | 2 | 2 | -1 | -1 | -1 | 0 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 0 | ||||||||||||||||||||
| χ40 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | ||||||||
| χ41 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | ||||||||
| χ42 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | ||||||||
| χ43 | 1 | 1 | 1 | 1 | 1 | 1 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | -1 | -1 | -1 | -1 | -1 | -1 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ||||||||||||
| χ44 | 1 | 1 | 1 | 1 | 1 | -1 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | ζ15+ζ39 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | ζ21+ζ69 | -1 | -1 | -1 | -1 | -1 | 1 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | −ζ15−ζ39 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | −ζ21−ζ69 | ||||||||||||
| χ45 | 2 | 2 | -1 | -1 | -1 | 0 | −2ζ15−2ζ39 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ15+ζ39 | ζ15+ζ39 | 0 | 0 | −2ζ21−2ζ69 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ21+ζ69 | ζ21+ζ69 | 0 | -2 | -2 | 1 | 1 | 1 | 0 | 2ζ15+2ζ39 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | −ζ15−ζ39 | 0 | 0 | 2ζ21+2ζ69 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | −ζ21−ζ69 | 0 | ||||||||||
| χ46 | 2 | -1 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | ζ23+ζ31 | 0 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | 0 | -2 | 1 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | 0 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | 0 | ||||
| χ47 | 2 | -1 | ζ44−ζ52+ζ68 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ7−ζ23−ζ71 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | 0 | −ζ14−ζ62+ζ70 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | −ζ5−ζ53+ζ61 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | 0 | -2 | 1 | −ζ44+ζ52−ζ68 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ7+ζ23+ζ71 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | 0 | ζ14+ζ62−ζ70 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | ζ5+ζ53−ζ61 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | 0 | ||||
| χ48 | 2 | -1 | −ζ4−ζ68 | ζ4−ζ44+ζ52 | ζ44−ζ52+ζ68 | 0 | −2ζ15−2ζ39 | ζ15+ζ39 | ζ23+ζ31 | −ζ7−ζ31+ζ71 | ζ7−ζ23−ζ71 | 0 | ζ14+ζ22 | −ζ22+ζ62−ζ70 | −ζ14−ζ62+ζ70 | 0 | −2ζ21−2ζ69 | ζ21+ζ69 | ζ5+ζ13 | −ζ13+ζ53−ζ61 | −ζ5−ζ53+ζ61 | 0 | -2 | 1 | ζ4+ζ68 | −ζ4+ζ44−ζ52 | −ζ44+ζ52−ζ68 | 0 | 2ζ15+2ζ39 | −ζ15−ζ39 | −ζ23−ζ31 | ζ7+ζ31−ζ71 | −ζ7+ζ23+ζ71 | 0 | −ζ14−ζ22 | ζ22−ζ62+ζ70 | ζ14+ζ62−ζ70 | 0 | 2ζ21+2ζ69 | −ζ21−ζ69 | −ζ5−ζ13 | ζ13−ζ53+ζ61 | ζ5+ζ53−ζ61 | 0 |
Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.