Group #13154741 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄
size	1	1	2	2	2	2	2	2	2	2	2	2	2	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	9	9	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	18	24	48	48	48	48	216	216	216
order	1	2	3	4	6	8	8	12	12	24	24	24	24	3	3	6	6	3	3	6	6	12	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	24	24	4	4	2	6	6	8	8	12	12	16	16	16	16	16	16	16	16	24	24	24	24	48	48	48	48	48	48	48	48	48	48	48	48	48	48	48	48	2	6	6	6	6	4	8	8
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	1	1	1	1	1	-1	$i$	$- i$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	-1	1	$- i$	$i$
χ₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	1	1	1	1	1	-1	$- i$	$i$
χ₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	-1	1	$i$	$- i$
χ₉	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	2	2	2	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	-2	0	0	2	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	-2	-2	0	0	2	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	2	0	0	-2	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	-2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	2	2	2	0	0	-2	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0
χ₁₅	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	2	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₆	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	2	2	-1	-1	-2	-2	-2	-2	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₇	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	-2	-2	1	1	$2 i$	$2 i$	$2 i$	$2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	-2	-2	1	1	$- 2 i$	$- 2 i$	$- 2 i$	$- 2 i$	$2 i$	$2 i$	$2 i$	$2 i$	1	1	1	1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₀	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	2	-1	-1	-2	-2	-1	-1	0	0	0	0	0	0	0	0	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	-2	1	1	2	2	1	1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₂	2	2	-1	2	-1	-2	-2	-1	-1	1	1	1	1	2	2	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	-2	1	1	2	2	1	1	0	0	0	0	0	0	0	0	-1	-1	-1	-1	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₂₃	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	2	-2	1	1	0	0	-1	-1	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	0	0	0	0	0	0	0	0
χ₂₄	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	2	-2	1	1	0	0	-1	-1	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	0	0	0	0	0	0	0	0
χ₂₅	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	-2	2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	0	0	0	0	0	0	0	0
χ₂₆	2	2	-1	-2	-1	0	0	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	-2	2	-1	-1	0	0	1	1	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	0	0	0	0	0	0	0	0
χ₂₇	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	2	-2	1	1	0	0	-1	-1	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	0	0	0	0	0	0	0	0
χ₂₈	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	2	-2	1	1	0	0	-1	-1	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	0	0	0	0	0	0	0	0
χ₂₉	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	-2	2	-1	-1	0	0	1	1	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	0	0	0	0	0	0	0	0
χ₃₀	2	2	-1	-2	-1	0	0	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	2	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	-2	2	-1	-1	0	0	1	1	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹⁰+ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁶+ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹⁰−ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ²⁶−ζ⁴⁶	−ζ²⁶−ζ⁴⁶	0	0	0	0	0	0	0	0
χ₃₁	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	0	0	0	0	0	0	0	0
χ₃₂	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	0	0	0	0	0	0	0	0
χ₃₃	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	0	0	0	0	0	0	0	0
χ₃₄	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	0	0	0	0	0	0	0	0
χ₃₅	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	0	0	0	0	0	0	0	0
χ₃₆	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	0	0	0	0	0	0	0	0
χ₃₇	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	0	0	0	0	0	0	0	0
χ₃₈	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	2	2	-2	-2	2	2	-2	-2	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	0	0	0	0	0	0	0	0
χ₃₉	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	$2 i$	$- 2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	0	0	0	0	0	0	0	0
χ₄₀	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	$2 i$	$- 2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	0	0	0	0	0	0	0	0
χ₄₁	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	$- 2 i$	$2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	0	0	0	0	0	0	0	0
χ₄₂	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	$- 2 i$	$2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	0	0	0	0	0	0	0	0
χ₄₃	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	$2 i$	$- 2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	0	0	0	0	0	0	0	0
χ₄₄	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	$2 i$	$- 2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i$	$i$	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	0	0	0	0	0	0	0	0
χ₄₅	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	$- 2 i$	$2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	0	0	0	0	0	0	0	0
χ₄₆	2	-2	-1	0	1	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	$- 2 i$	$2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i$	$- i$	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	0	0	0	0	0	0	0	0
χ₄₇	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	$2 i$	$- 2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	0	0	0	0	0	0	0	0
χ₄₈	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	$2 i$	$- 2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	0	0	0	0	0	0	0	0
χ₄₉	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	$- 2 i$	$2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	0	0	0	0	0	0	0	0
χ₅₀	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{3}$	$- \sqrt{3}$	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	2	2	-2	-2	-1	-1	1	1	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	$- 2 i$	$2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	0	0	0	0	0	0	0	0
χ₅₁	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	$2 i$	$- 2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	0	0	0	0	0	0	0	0
χ₅₂	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	$2 i$	$- 2 i$	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i$	$i$	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹⁰−ζ¹⁴	ζ¹⁰+ζ¹⁴	−ζ²⁶−ζ⁴⁶	ζ²⁶+ζ⁴⁶	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	0	0	0	0	0	0	0	0
χ₅₃	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	$- 2 i$	$2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	−ζ¹¹−ζ²⁵	ζ¹¹+ζ²⁵	−ζ⁴¹−ζ⁴³	ζ⁴¹+ζ⁴³	−ζ¹³+ζ⁴⁷	ζ¹³−ζ⁴⁷	−ζ²⁹+ζ³¹	ζ²⁹−ζ³¹	ζ¹³+ζ⁴⁷	−ζ¹³−ζ⁴⁷	ζ²⁹+ζ³¹	−ζ²⁹−ζ³¹	ζ¹¹−ζ²⁵	−ζ¹¹+ζ²⁵	−ζ⁴¹+ζ⁴³	ζ⁴¹−ζ⁴³	0	0	0	0	0	0	0	0
χ₅₄	2	-2	-1	0	1	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{3}$	$\sqrt{3}$	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	2	2	-2	-2	-1	-1	1	1	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	−ζ²⁶+ζ⁴⁶	−ζ²⁶+ζ⁴⁶	ζ²⁶−ζ⁴⁶	ζ²⁶−ζ⁴⁶	−ζ¹⁰+ζ¹⁴	−ζ¹⁰+ζ¹⁴	ζ¹⁰−ζ¹⁴	ζ¹⁰−ζ¹⁴	$- 2 i$	$2 i$	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i$	$- i$	−ζ¹¹−ζ²⁵−ζ⁴¹−ζ⁴³	ζ¹¹+ζ²⁵+ζ⁴¹+ζ⁴³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷	ζ¹¹−ζ²⁵−ζ⁴¹+ζ⁴³	−ζ¹¹+ζ²⁵+ζ⁴¹−ζ⁴³	ζ¹⁰+ζ¹⁴	−ζ¹⁰−ζ¹⁴	ζ²⁶+ζ⁴⁶	−ζ²⁶−ζ⁴⁶	ζ¹¹+ζ²⁵	−ζ¹¹−ζ²⁵	ζ⁴¹+ζ⁴³	−ζ⁴¹−ζ⁴³	ζ¹³−ζ⁴⁷	−ζ¹³+ζ⁴⁷	ζ²⁹−ζ³¹	−ζ²⁹+ζ³¹	−ζ¹³−ζ⁴⁷	ζ¹³+ζ⁴⁷	−ζ²⁹−ζ³¹	ζ²⁹+ζ³¹	−ζ¹¹+ζ²⁵	ζ¹¹−ζ²⁵	ζ⁴¹−ζ⁴³	−ζ⁴¹+ζ⁴³	0	0	0	0	0	0	0	0
χ₅₅	4	4	4	4	4	4	4	4	4	4	4	4	4	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	1	1	-2	-2	0	0	0
χ₅₆	4	4	4	4	4	4	4	4	4	4	4	4	4	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-1	-1	2	2	0	0	0
χ₅₇	4	4	4	4	4	4	4	4	4	4	4	4	4	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-2	-2	1	1	0	0	0
χ₅₈	4	4	4	4	4	4	4	4	4	4	4	4	4	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	2	2	-1	-1	0	0	0
χ₅₉	4	4	4	4	4	-4	-4	4	4	-4	-4	-4	-4	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	-1	2	-1	2	-1	2	-1	2	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-3	0	0	0	0	0
χ₆₀	4	4	4	4	4	-4	-4	4	4	-4	-4	-4	-4	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	-1	2	-1	2	-1	2	-1	2	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	3	0	0	0	0	0
χ₆₁	4	4	4	4	4	-4	-4	4	4	-4	-4	-4	-4	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	2	-1	2	-1	2	-1	2	-1	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	3	-3	0	0	0
χ₆₂	4	4	4	4	4	-4	-4	4	4	-4	-4	-4	-4	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	-2	1	2	-1	2	-1	2	-1	2	-1	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	3	0	0	0
χ₆₃	8	8	8	-8	8	0	0	-8	-8	0	0	0	0	2	-4	2	-4	2	-4	2	-4	-2	4	-2	4	-2	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	8	8	8	-8	8	0	0	-8	-8	0	0	0	0	-4	2	-4	2	-4	2	-4	2	4	-2	4	-2	4	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	8	8	-4	8	-4	8	8	-4	-4	-4	-4	-4	-4	2	-4	2	-4	-1	2	-1	2	2	-4	-1	2	-1	2	2	-4	2	-4	-1	2	-1	2	-1	2	-1	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	8	8	-4	8	-4	8	8	-4	-4	-4	-4	-4	-4	-4	2	-4	2	2	-1	2	-1	-4	2	2	-1	2	-1	-4	2	-4	2	2	-1	2	-1	2	-1	2	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	8	8	-4	8	-4	-8	-8	-4	-4	4	4	4	4	2	-4	2	-4	-1	2	-1	2	2	-4	-1	2	-1	2	-2	4	-2	4	1	-2	1	-2	1	-2	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	8	8	-4	8	-4	-8	-8	-4	-4	4	4	4	4	-4	2	-4	2	2	-1	2	-1	-4	2	2	-1	2	-1	4	-2	4	-2	-2	1	-2	1	-2	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	8	8	-4	-8	-4	0	0	4	4	$4 \sqrt{3}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	$- 4 \sqrt{3}$	2	-4	2	-4	-1	2	-1	2	-2	4	1	-2	1	-2	0	0	0	0	$\sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	8	8	-4	-8	-4	0	0	4	4	$4 \sqrt{3}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	$- 4 \sqrt{3}$	-4	2	-4	2	2	-1	2	-1	4	-2	-2	1	-2	1	0	0	0	0	$- 2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	8	8	-4	-8	-4	0	0	4	4	$- 4 \sqrt{3}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	$4 \sqrt{3}$	2	-4	2	-4	-1	2	-1	2	-2	4	1	-2	1	-2	0	0	0	0	$- \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	8	-4	-8	-4	0	0	4	4	$- 4 \sqrt{3}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	$4 \sqrt{3}$	-4	2	-4	2	2	-1	2	-1	4	-2	-2	1	-2	1	0	0	0	0	$2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	8	-8	8	0	-8	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	-4	-2	4	2	-4	-2	4	0	0	0	0	0	0	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	8	-8	8	0	-8	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-4	2	4	-2	-4	2	4	-2	0	0	0	0	0	0	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	8	-8	8	0	-8	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	-4	-2	4	2	-4	-2	4	0	0	0	0	0	0	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	8	-8	8	0	-8	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-4	2	4	-2	-4	2	4	-2	0	0	0	0	0	0	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	4ζ¹⁰−4ζ¹⁴	−4ζ¹⁰+4ζ¹⁴	4ζ²⁶−4ζ⁴⁶	−4ζ²⁶+4ζ⁴⁶	2	-4	-2	4	-1	2	1	-2	0	0	$\sqrt{3}$	$- 2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	ζ¹⁰−ζ¹⁴	−2ζ¹⁰+2ζ¹⁴	−ζ¹⁰+ζ¹⁴	2ζ¹⁰−2ζ¹⁴	ζ²⁶−ζ⁴⁶	−2ζ²⁶+2ζ⁴⁶	−ζ²⁶+ζ⁴⁶	2ζ²⁶−2ζ⁴⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	4ζ¹⁰−4ζ¹⁴	−4ζ¹⁰+4ζ¹⁴	4ζ²⁶−4ζ⁴⁶	−4ζ²⁶+4ζ⁴⁶	-4	2	4	-2	2	-1	-2	1	0	0	$- 2 \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	−2ζ¹⁰+2ζ¹⁴	ζ¹⁰−ζ¹⁴	2ζ¹⁰−2ζ¹⁴	−ζ¹⁰+ζ¹⁴	−2ζ²⁶+2ζ⁴⁶	ζ²⁶−ζ⁴⁶	2ζ²⁶−2ζ⁴⁶	−ζ²⁶+ζ⁴⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₉	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	4ζ²⁶−4ζ⁴⁶	−4ζ²⁶+4ζ⁴⁶	4ζ¹⁰−4ζ¹⁴	−4ζ¹⁰+4ζ¹⁴	2	-4	-2	4	-1	2	1	-2	0	0	$- \sqrt{3}$	$2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$2 \sqrt{2}$	ζ²⁶−ζ⁴⁶	−2ζ²⁶+2ζ⁴⁶	−ζ²⁶+ζ⁴⁶	2ζ²⁶−2ζ⁴⁶	ζ¹⁰−ζ¹⁴	−2ζ¹⁰+2ζ¹⁴	−ζ¹⁰+ζ¹⁴	2ζ¹⁰−2ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	4ζ²⁶−4ζ⁴⁶	−4ζ²⁶+4ζ⁴⁶	4ζ¹⁰−4ζ¹⁴	−4ζ¹⁰+4ζ¹⁴	-4	2	4	-2	2	-1	-2	1	0	0	$2 \sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- \sqrt{2}$	−2ζ²⁶+2ζ⁴⁶	ζ²⁶−ζ⁴⁶	2ζ²⁶−2ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−2ζ¹⁰+2ζ¹⁴	ζ¹⁰−ζ¹⁴	2ζ¹⁰−2ζ¹⁴	−ζ¹⁰+ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₁	8	-8	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	−4ζ¹⁰+4ζ¹⁴	4ζ¹⁰−4ζ¹⁴	−4ζ²⁶+4ζ⁴⁶	4ζ²⁶−4ζ⁴⁶	2	-4	-2	4	-1	2	1	-2	0	0	$\sqrt{3}$	$- 2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	−ζ¹⁰+ζ¹⁴	2ζ¹⁰−2ζ¹⁴	ζ¹⁰−ζ¹⁴	−2ζ¹⁰+2ζ¹⁴	−ζ²⁶+ζ⁴⁶	2ζ²⁶−2ζ⁴⁶	ζ²⁶−ζ⁴⁶	−2ζ²⁶+2ζ⁴⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₂	8	-8	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$4 \sqrt{3}$	$- 4 \sqrt{3}$	−4ζ¹⁰+4ζ¹⁴	4ζ¹⁰−4ζ¹⁴	−4ζ²⁶+4ζ⁴⁶	4ζ²⁶−4ζ⁴⁶	-4	2	4	-2	2	-1	-2	1	0	0	$- 2 \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{3}$	$- \sqrt{3}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	2ζ¹⁰−2ζ¹⁴	−ζ¹⁰+ζ¹⁴	−2ζ¹⁰+2ζ¹⁴	ζ¹⁰−ζ¹⁴	2ζ²⁶−2ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−2ζ²⁶+2ζ⁴⁶	ζ²⁶−ζ⁴⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₃	8	-8	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	−4ζ²⁶+4ζ⁴⁶	4ζ²⁶−4ζ⁴⁶	−4ζ¹⁰+4ζ¹⁴	4ζ¹⁰−4ζ¹⁴	2	-4	-2	4	-1	2	1	-2	0	0	$- \sqrt{3}$	$2 \sqrt{3}$	$\sqrt{3}$	$- 2 \sqrt{3}$	$- \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- 2 \sqrt{2}$	−ζ²⁶+ζ⁴⁶	2ζ²⁶−2ζ⁴⁶	ζ²⁶−ζ⁴⁶	−2ζ²⁶+2ζ⁴⁶	−ζ¹⁰+ζ¹⁴	2ζ¹⁰−2ζ¹⁴	ζ¹⁰−ζ¹⁴	−2ζ¹⁰+2ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₄	8	-8	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{3}$	$4 \sqrt{3}$	−4ζ²⁶+4ζ⁴⁶	4ζ²⁶−4ζ⁴⁶	−4ζ¹⁰+4ζ¹⁴	4ζ¹⁰−4ζ¹⁴	-4	2	4	-2	2	-1	-2	1	0	0	$2 \sqrt{3}$	$- \sqrt{3}$	$- 2 \sqrt{3}$	$\sqrt{3}$	$2 \sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$\sqrt{2}$	2ζ²⁶−2ζ⁴⁶	−ζ²⁶+ζ⁴⁶	−2ζ²⁶+2ζ⁴⁶	ζ²⁶−ζ⁴⁶	2ζ¹⁰−2ζ¹⁴	−ζ¹⁰+ζ¹⁴	−2ζ¹⁰+2ζ¹⁴	ζ¹⁰−ζ¹⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13154741