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 | 1 | 1 | 1 | 1 | 1 | 1 | 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 | 2 | 2 | 2 | 2 | 2 | 2 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| order | 1 | 2 | 4 | 4 | 8 | 8 | 8 | 8 | 3 | 6 | 9 | 9 | 9 | 12 | 12 | 18 | 18 | 18 | 24 | 24 | 24 | 24 | 36 | 36 | 36 | 36 | 36 | 36 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 72 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 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 | 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 | ||||||||
| χ4 | 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 | ||||||||
| χ5 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ||||||||||||||||||||
| χ6 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ||||||||||||||||||||
| χ7 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ||||||||||||||||||||
| χ8 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 | -1 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ||||||||||||||||||||
| χ9 | 1 | -1 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ57−ζ105 | ζ57+ζ105 | −ζ93−ζ141 | ζ93+ζ141 | ζ15+ζ111 | −ζ15−ζ111 | −ζ75−ζ123 | ζ75+ζ123 | ||||||||||
| χ10 | 1 | -1 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ57+ζ105 | −ζ57−ζ105 | ζ93+ζ141 | −ζ93−ζ141 | −ζ15−ζ111 | ζ15+ζ111 | ζ75+ζ123 | −ζ75−ζ123 | ||||||||||
| χ11 | 1 | -1 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ93−ζ141 | ζ93+ζ141 | ζ57+ζ105 | −ζ57−ζ105 | ζ75+ζ123 | −ζ75−ζ123 | ζ15+ζ111 | −ζ15−ζ111 | ||||||||||
| χ12 | 1 | -1 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ93+ζ141 | −ζ93−ζ141 | −ζ57−ζ105 | ζ57+ζ105 | −ζ75−ζ123 | ζ75+ζ123 | −ζ15−ζ111 | ζ15+ζ111 | ||||||||||
| χ13 | 1 | -1 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ15+ζ111 | −ζ15−ζ111 | ζ75+ζ123 | −ζ75−ζ123 | −ζ57−ζ105 | ζ57+ζ105 | ζ93+ζ141 | −ζ93−ζ141 | ||||||||||
| χ14 | 1 | -1 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ15−ζ111 | ζ15+ζ111 | −ζ75−ζ123 | ζ75+ζ123 | ζ57+ζ105 | −ζ57−ζ105 | −ζ93−ζ141 | ζ93+ζ141 | ||||||||||
| χ15 | 1 | -1 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ75−ζ123 | ζ75+ζ123 | ζ15+ζ111 | −ζ15−ζ111 | ζ93+ζ141 | −ζ93−ζ141 | ζ57+ζ105 | −ζ57−ζ105 | ||||||||||
| χ16 | 1 | -1 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | 1 | -1 | 1 | 1 | 1 | -1 | -1 | -1 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ75+ζ123 | −ζ75−ζ123 | −ζ15−ζ111 | ζ15+ζ111 | −ζ93−ζ141 | ζ93+ζ141 | −ζ57−ζ105 | ζ57+ζ105 | ||||||||||
| χ17 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | -1 | -1 | -1 | 2 | 2 | -1 | -1 | -1 | 2 | 2 | 2 | 2 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | -1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ18 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | -1 | -1 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ19 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | -1 | -1 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ20 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | -1 | -1 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ21 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | 2 | 2 | -1 | -1 | -1 | 2 | 2 | -1 | -1 | -1 | -2 | -2 | -2 | -2 | -1 | -1 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ22 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | 1 | 1 | 1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ23 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | 1 | 1 | 1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ24 | 2 | 2 | 2 | 2 | -2 | -2 | -2 | -2 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | 1 | 1 | 1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| χ25 | 2 | 2 | -2 | -2 | 2 | 2 | -1 | -1 | -1 | -2 | -2 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||
| χ26 | 2 | 2 | -2 | -2 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | 1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ27 | 2 | 2 | -2 | -2 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | 1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ28 | 2 | 2 | -2 | -2 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | 1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ29 | 2 | 2 | -2 | -2 | 2 | 2 | -1 | -1 | -1 | -2 | -2 | -1 | -1 | -1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||||||||||||
| χ30 | 2 | 2 | -2 | -2 | -1 | -1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | 1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ31 | 2 | 2 | -2 | -2 | -1 | -1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | 1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ32 | 2 | 2 | -2 | -2 | -1 | -1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | 1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||
| χ33 | 2 | -2 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | 2 | -2 | -1 | -1 | -1 | 1 | 1 | 1 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ34 | 2 | -2 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | -1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ35 | 2 | -2 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | -1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | ζ58+ζ122 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | ζ14+ζ94 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ36 | 2 | -2 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | -1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | −ζ42−ζ138 | ζ42+ζ138 | ζ30+ζ78 | −ζ30−ζ78 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | ζ26−ζ58−ζ106 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | ζ62−ζ94−ζ142 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ37 | 2 | -2 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | 2 | -2 | -1 | -1 | -1 | 1 | 1 | 1 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ38 | 2 | -2 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | -1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ39 | 2 | -2 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | -1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | ζ58+ζ122 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | ζ14+ζ94 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ40 | 2 | -2 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | -1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ42+ζ138 | −ζ42−ζ138 | −ζ30−ζ78 | ζ30+ζ78 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ26−ζ58−ζ106 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | ζ62−ζ94−ζ142 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ41 | 2 | -2 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | 2 | -2 | -1 | -1 | -1 | 1 | 1 | 1 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ42 | 2 | -2 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | -1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ43 | 2 | -2 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | -1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | ζ14+ζ94 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | ζ58+ζ122 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ44 | 2 | -2 | −2ζ30−2ζ78 | 2ζ30+2ζ78 | 2ζ42+2ζ138 | −2ζ42−2ζ138 | -1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ30+ζ78 | −ζ30−ζ78 | −ζ42−ζ138 | ζ42+ζ138 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | ζ62−ζ94−ζ142 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | ζ26−ζ58−ζ106 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ45 | 2 | -2 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | 2 | -2 | -1 | -1 | -1 | 1 | 1 | 1 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | −ζ30−ζ78 | −ζ30−ζ78 | −ζ30−ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ30+ζ78 | ζ42+ζ138 | ζ42+ζ138 | ζ42+ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | −ζ42−ζ138 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||||||
| χ46 | 2 | -2 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | -1 | 1 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ47 | 2 | -2 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | -1 | 1 | ζ8−ζ88+ζ104 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | −ζ8+ζ88−ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | −ζ44+ζ124−ζ140 | ζ44−ζ76−ζ124 | ζ76+ζ140 | ζ44−ζ124+ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ14+ζ62−ζ142 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | −ζ14−ζ62+ζ142 | ζ62−ζ94−ζ142 | ζ14+ζ94 | −ζ26+ζ106−ζ122 | ζ26−ζ58−ζ106 | ζ58+ζ122 | ζ26−ζ106+ζ122 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||||
| χ48 | 2 | -2 | 2ζ30+2ζ78 | −2ζ30−2ζ78 | −2ζ42−2ζ138 | 2ζ42+2ζ138 | -1 | 1 | −ζ8+ζ40+ζ88 | −ζ40−ζ104 | ζ8−ζ88+ζ104 | ζ8−ζ40−ζ88 | ζ40+ζ104 | −ζ8+ζ88−ζ104 | −ζ30−ζ78 | ζ30+ζ78 | ζ42+ζ138 | −ζ42−ζ138 | ζ44−ζ76−ζ124 | ζ76+ζ140 | −ζ44+ζ124−ζ140 | −ζ44+ζ76+ζ124 | −ζ76−ζ140 | ζ44−ζ124+ζ140 | −ζ62+ζ94+ζ142 | −ζ14−ζ94 | ζ14+ζ62−ζ142 | ζ62−ζ94−ζ142 | ζ14+ζ94 | −ζ14−ζ62+ζ142 | ζ26−ζ58−ζ106 | ζ58+ζ122 | −ζ26+ζ106−ζ122 | −ζ26+ζ58+ζ106 | −ζ58−ζ122 | ζ26−ζ106+ζ122 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Here ζ is a primitive root of unity of order 144 (ζ144 = 1); i = ζ36.