the group $\mathrm{C}_{30} \times \mathrm{C}_{2}$
- GAP SmallGroup id
- $[60, 13]$
- order
- $60$
- structure
- $\mathrm{C}_{30} \times \mathrm{C}_{2}$
- presentation
- $\langle g_{1}, g_{2}, g_{3}, g_{4} \mid g_{1}^{2},\; g_{2}^{-1}g_{1}^{-1}g_{2}g_{1},\; g_{3}^{-1}g_{1}^{-1}g_{3}g_{1},\; g_{4}^{-1}g_{1}^{-1}g_{4}g_{1},\; g_{2}^{2},\; g_{3}^{-1}g_{2}^{-1}g_{3}g_{2},\; g_{4}^{-1}g_{2}^{-1}g_{4}g_{2},\; g_{3}^{3},\; g_{4}^{-1}g_{3}^{-1}g_{4}g_{3},\; g_{4}^{5} \rangle$
character table
Columns are the conjugacy classes: order is the order of a class representative, size the number of elements in the class. Rows $\chi_i$ are the irreducible characters.
| order | 1 | 2 | 2 | 3 | 5 | 2 | 6 | 10 | 6 | 10 | 3 | 15 | 5 | 6 | 10 | 6 | 30 | 10 | 6 | 30 | 10 | 15 | 15 | 5 | 6 | 30 | 10 | 30 | 30 | 10 | 30 | 30 | 10 | 15 | 15 | 5 | 30 | 30 | 10 | 30 | 30 | 10 | 30 | 30 | 10 | 15 | 15 | 30 | 30 | 10 | 30 | 30 | 30 | 30 | 15 | 30 | 30 | 30 | 30 | 30 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| size | 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 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| $\chi_{ 1 }$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ |
| $\chi_{ 2 }$ | $1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $-1$ |
| $\chi_{ 3 }$ | $1$ | $1$ | $-1$ | $1$ | $1$ | $-1$ | $1$ | $1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $-1$ | $-1$ | $1$ | $-1$ | $-1$ | $1$ | $-1$ | $-1$ |
| $\chi_{ 4 }$ | $1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $-1$ | $-1$ | $1$ | $1$ | $1$ | $-1$ | $-1$ | $1$ |
| $\chi_{ 5 }$ | $1$ | $1$ | $1$ | $-\zeta_{3} - 1$ | $1$ | $1$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $\zeta_{3}$ | $\zeta_{3}$ |
| $\chi_{ 6 }$ | $1$ | $-1$ | $1$ | $-\zeta_{3} - 1$ | $1$ | $-1$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $\zeta_{3}$ | $-\zeta_{3}$ |
| $\chi_{ 7 }$ | $1$ | $1$ | $-1$ | $-\zeta_{3} - 1$ | $1$ | $-1$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $\zeta_{3}$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $\zeta_{3}$ | $-\zeta_{3}$ | $-\zeta_{3}$ |
| $\chi_{ 8 }$ | $1$ | $-1$ | $-1$ | $-\zeta_{3} - 1$ | $1$ | $1$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $\zeta_{3}$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3}$ | $-\zeta_{3}$ | $\zeta_{3}$ |
| $\chi_{ 9 }$ | $1$ | $1$ | $1$ | $\zeta_{3}$ | $1$ | $1$ | $\zeta_{3}$ | $1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3} - 1$ | $-\zeta_{3} - 1$ |
| $\chi_{ 10 }$ | $1$ | $-1$ | $1$ | $\zeta_{3}$ | $1$ | $-1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3} - 1$ | $\zeta_{3} + 1$ |
| $\chi_{ 11 }$ | $1$ | $1$ | $-1$ | $\zeta_{3}$ | $1$ | $-1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3} + 1$ | $\zeta_{3} + 1$ |
| $\chi_{ 12 }$ | $1$ | $-1$ | $-1$ | $\zeta_{3}$ | $1$ | $1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $\zeta_{3} + 1$ | $-\zeta_{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{3}$ | $\zeta_{3} + 1$ | $\zeta_{3} + 1$ | $-\zeta_{3} - 1$ |
| $\chi_{ 13 }$ | $1$ | $1$ | $1$ | $1$ | $\zeta_{5}$ | $1$ | $1$ | $\zeta_{5}$ | $1$ | $\zeta_{5}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ |
| $\chi_{ 14 }$ | $1$ | $-1$ | $1$ | $1$ | $\zeta_{5}$ | $-1$ | $-1$ | $-\zeta_{5}$ | $1$ | $\zeta_{5}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}$ | $-1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ |
| $\chi_{ 15 }$ | $1$ | $1$ | $-1$ | $1$ | $\zeta_{5}$ | $-1$ | $1$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ |
| $\chi_{ 16 }$ | $1$ | $-1$ | $-1$ | $1$ | $\zeta_{5}$ | $1$ | $-1$ | $-\zeta_{5}$ | $-1$ | $-\zeta_{5}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ |
| $\chi_{ 17 }$ | $1$ | $1$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{2}$ |
| $\chi_{ 18 }$ | $1$ | $-1$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{5}$ | $-\zeta_{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{4}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{4}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{2}$ |
| $\chi_{ 19 }$ | $1$ | $1$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $-\zeta_{5}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{5}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{4}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{4}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{2}$ |
| $\chi_{ 20 }$ | $1$ | $-1$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{5}$ | $\zeta_{3} + 1$ | $-\zeta_{5}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{5}$ | $-\zeta_{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{4}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{4}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{4}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{2}$ |
| $\chi_{ 21 }$ | $1$ | $1$ | $1$ | $\zeta_{3}$ | $\zeta_{5}$ | $1$ | $\zeta_{3}$ | $\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7}$ |
| $\chi_{ 22 }$ | $1$ | $-1$ | $1$ | $\zeta_{3}$ | $\zeta_{5}$ | $-1$ | $-\zeta_{3}$ | $-\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{5}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7}$ |
| $\chi_{ 23 }$ | $1$ | $1$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7}$ |
| $\chi_{ 24 }$ | $1$ | $-1$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}$ | $1$ | $-\zeta_{3}$ | $-\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7}$ |
| $\chi_{ 25 }$ | $1$ | $1$ | $1$ | $1$ | $\zeta_{5}^{2}$ | $1$ | $1$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ |
| $\chi_{ 26 }$ | $1$ | $-1$ | $1$ | $1$ | $\zeta_{5}^{2}$ | $-1$ | $-1$ | $-\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3}$ |
| $\chi_{ 27 }$ | $1$ | $1$ | $-1$ | $1$ | $\zeta_{5}^{2}$ | $-1$ | $1$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3}$ |
| $\chi_{ 28 }$ | $1$ | $-1$ | $-1$ | $1$ | $\zeta_{5}^{2}$ | $1$ | $-1$ | $-\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}^{2}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3}$ |
| $\chi_{ 29 }$ | $1$ | $1$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ |
| $\chi_{ 30 }$ | $1$ | $-1$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ |
| $\chi_{ 31 }$ | $1$ | $1$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $-\zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ |
| $\chi_{ 32 }$ | $1$ | $-1$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3}$ | $-\zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $\zeta_{5}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ |
| $\chi_{ 33 }$ | $1$ | $1$ | $1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{4}$ |
| $\chi_{ 34 }$ | $1$ | $-1$ | $1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $-1$ | $-\zeta_{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{4}$ |
| $\chi_{ 35 }$ | $1$ | $1$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{4}$ |
| $\chi_{ 36 }$ | $1$ | $-1$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $1$ | $-\zeta_{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{5}$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{4}$ |
| $\chi_{ 37 }$ | $1$ | $1$ | $1$ | $1$ | $\zeta_{5}^{3}$ | $1$ | $1$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $1$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ |
| $\chi_{ 38 }$ | $1$ | $-1$ | $1$ | $1$ | $\zeta_{5}^{3}$ | $-1$ | $-1$ | $-\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}^{3}$ | $-1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{2}$ |
| $\chi_{ 39 }$ | $1$ | $1$ | $-1$ | $1$ | $\zeta_{5}^{3}$ | $-1$ | $1$ | $\zeta_{5}^{3}$ | $-1$ | $-\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{2}$ |
| $\chi_{ 40 }$ | $1$ | $-1$ | $-1$ | $1$ | $\zeta_{5}^{3}$ | $1$ | $-1$ | $-\zeta_{5}^{3}$ | $-1$ | $-\zeta_{5}^{3}$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $1$ | $\zeta_{5}^{3}$ | $-1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $-1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{2}$ |
| $\chi_{ 41 }$ | $1$ | $1$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ |
| $\chi_{ 42 }$ | $1$ | $-1$ | $1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $-1$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{3}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{6} + \zeta_{15}$ |
| $\chi_{ 43 }$ | $1$ | $1$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{6} + \zeta_{15}$ |
| $\chi_{ 44 }$ | $1$ | $-1$ | $-1$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{15}^{4}$ | $\zeta_{5}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{2}$ | $\zeta_{15}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{6} - \zeta_{15}$ |
| $\chi_{ 45 }$ | $1$ | $1$ | $1$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $1$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}$ | $\zeta_{15}$ | $\zeta_{15}$ |
| $\chi_{ 46 }$ | $1$ | $-1$ | $1$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $-1$ | $-\zeta_{3}$ | $-\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}$ | $\zeta_{15}$ | $-\zeta_{15}$ |
| $\chi_{ 47 }$ | $1$ | $1$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $-\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $-\zeta_{3}$ | $-\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}$ | $-\zeta_{15}$ | $-\zeta_{15}$ |
| $\chi_{ 48 }$ | $1$ | $-1$ | $-1$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $1$ | $-\zeta_{3}$ | $-\zeta_{5}^{3}$ | $-\zeta_{3}$ | $-\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $\zeta_{3}$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}$ | $\zeta_{3} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{4}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}$ | $-\zeta_{15}$ | $\zeta_{15}$ |
| $\chi_{ 49 }$ | $1$ | $1$ | $1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}$ | $\zeta_{5}$ | $\zeta_{5}$ |
| $\chi_{ 50 }$ | $1$ | $-1$ | $1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $-\zeta_{5}$ | $\zeta_{5}$ | $-\zeta_{5}$ |
| $\chi_{ 51 }$ | $1$ | $1$ | $-1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}$ | $-\zeta_{5}$ | $-\zeta_{5}$ |
| $\chi_{ 52 }$ | $1$ | $-1$ | $-1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $-\zeta_{5}^{3}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $\zeta_{5}^{3}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $-\zeta_{5}^{2}$ | $-\zeta_{5}$ | $\zeta_{5}$ | $\zeta_{5}^{2}$ | $\zeta_{5}$ | $-\zeta_{5}$ | $-\zeta_{5}$ | $\zeta_{5}$ |
| $\chi_{ 53 }$ | $1$ | $1$ | $1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ |
| $\chi_{ 54 }$ | $1$ | $-1$ | $1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $\zeta_{3} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{3}$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}$ | $-\zeta_{5}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}$ | $-\zeta_{5}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ |
| $\chi_{ 55 }$ | $1$ | $1$ | $-1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $-\zeta_{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}$ | $-\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}$ | $-\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ |
| $\chi_{ 56 }$ | $1$ | $-1$ | $-1$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{3} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3} + 1$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{3}$ | $-\zeta_{3}$ | $-\zeta_{15}^{7}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $\zeta_{3}$ | $\zeta_{15}^{7}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{2}$ | $-\zeta_{15}^{4}$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{2}$ | $\zeta_{15}^{4}$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}$ | $-\zeta_{5}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{15}$ | $-\zeta_{5}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{6} + \zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ |
| $\chi_{ 57 }$ | $1$ | $1$ | $1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ |
| $\chi_{ 58 }$ | $1$ | $-1$ | $1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $-\zeta_{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{3}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}$ | $-\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ |
| $\chi_{ 59 }$ | $1$ | $1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $-\zeta_{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $-\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ |
| $\chi_{ 60 }$ | $1$ | $-1$ | $-1$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $1$ | $-\zeta_{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3}$ | $\zeta_{5}^{3} + \zeta_{5}^{2} + \zeta_{5} + 1$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $\zeta_{3}$ | $-\zeta_{5}^{3} - \zeta_{5}^{2} - \zeta_{5} - 1$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{3} + 1$ | $-\zeta_{15}^{2}$ | $-\zeta_{5}^{3}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{3} - 1$ | $\zeta_{15}^{2}$ | $\zeta_{5}^{3}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}^{2}$ | $-\zeta_{15}^{7}$ | $\zeta_{15}^{7} - \zeta_{15}^{6} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15}^{2} - 1$ | $-\zeta_{5}^{2}$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $\zeta_{15}^{7}$ | $-\zeta_{15}^{7} + \zeta_{15}^{6} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15}^{2} + 1$ | $\zeta_{5}^{2}$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}$ | $-\zeta_{15}^{4}$ | $\zeta_{15}^{6} + \zeta_{15}$ | $-\zeta_{5}$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{4}$ | $-\zeta_{15}^{6} - \zeta_{15}$ | $\zeta_{5}$ | $-\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} + \zeta_{15}^{3} - \zeta_{15} + 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ | $\zeta_{15}$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} - \zeta_{15}^{3} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $\zeta_{15}^{7} - \zeta_{15}^{5} + \zeta_{15}^{4} + \zeta_{15} - 1$ | $-\zeta_{15}^{7} + \zeta_{15}^{5} - \zeta_{15}^{4} - \zeta_{15} + 1$ |
hyperelliptic quotients
- dimension 4, representation $\operatorname{diag}(1, -1, 1, 1)$$\operatorname{diag}(1, 1, -1, -1)$$\operatorname{diag}(1, \zeta_{3}, 1, 1)$$\operatorname{diag}(1, 1, \zeta_{5}, \zeta_{5}^{2})$ with $q = 1$, $\operatorname{ord} \omega_X = 30$, moduli $1$