Group #65672 — 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
size	1	1	2	2	2	2	2	4	4	4	4	4	8	8	8	8	1	1	2	2	2	2	2	4	4	4	4	4	8	8	8	8	1	1	2	2	2	2	2	4	4	4	4	4	8	8	8	8	1	1	2	2	2	2	2	4	4	4	4	4	8	8	8	8	1	1	2	2	2	2	2	4	4	4	4	4	8	8	8	8
order	1	2	2	4	4	8	8	8	16	16	16	16	2	2	2	4	5	10	10	20	20	40	40	40	80	80	80	80	10	10	10	20	5	10	10	20	20	40	40	40	80	80	80	80	10	10	10	20	5	10	10	20	20	40	40	40	80	80	80	80	10	10	10	20	5	10	10	20	20	40	40	40	80	80	80	80	10	10	10	20
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
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
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
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
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	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	1	-1	1	-1	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	1	-1	1	-1
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	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	-1	1	-1	1	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	-1	1	-1	1
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	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	1	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	1
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	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1
χ₉	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₁	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₂	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₃	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₄	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0
χ₁₅	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₁₆	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0
χ₁₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₁₈	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²
χ₁₉	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²
χ₂₀	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²
χ₂₁	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	1	-1	1	-1	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²
χ₂₂	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	-1	1	-1	1	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²
χ₂₃	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	1	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²
χ₂₄	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²
χ₂₅	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	0
χ₂₆	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0
χ₂₇	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0
χ₂₈	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0
χ₂₉	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0
χ₃₀	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	0	0	0	0	0	0	0	0
χ₃₁	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	2ζ¹³−2ζ²³	−2ζ¹³+2ζ²³	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	2ζ²¹−2ζ³¹	−2ζ²¹+2ζ³¹	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	2ζ²⁹−2ζ³⁹	−2ζ²⁹+2ζ³⁹	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	−2ζ⁷+2ζ³⁷	2ζ⁷−2ζ³⁷	0	0	0	0	0	0	0	0	0
χ₃₂	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	−2ζ¹³+2ζ²³	2ζ¹³−2ζ²³	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	−2ζ²¹+2ζ³¹	2ζ²¹−2ζ³¹	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	−2ζ²⁹+2ζ³⁹	2ζ²⁹−2ζ³⁹	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	2ζ⁷−2ζ³⁷	−2ζ⁷+2ζ³⁷	0	0	0	0	0	0	0	0	0
χ₃₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₃₄	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴
χ₃₅	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴
χ₃₆	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴
χ₃₇	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	1	-1	1	-1	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴
χ₃₈	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	-1	1	-1	1	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴
χ₃₉	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	1	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴
χ₄₀	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴
χ₄₁	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	0
χ₄₂	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0
χ₄₃	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0
χ₄₄	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0
χ₄₅	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0
χ₄₆	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	0	0	0	0	0	0	0	0
χ₄₇	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	2ζ²¹−2ζ³¹	−2ζ²¹+2ζ³¹	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	−2ζ⁷+2ζ³⁷	2ζ⁷−2ζ³⁷	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	2ζ¹³−2ζ²³	−2ζ¹³+2ζ²³	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	2ζ²⁹−2ζ³⁹	−2ζ²⁹+2ζ³⁹	0	0	0	0	0	0	0	0	0
χ₄₈	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	−2ζ²¹+2ζ³¹	2ζ²¹−2ζ³¹	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	2ζ⁷−2ζ³⁷	−2ζ⁷+2ζ³⁷	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	−2ζ¹³+2ζ²³	2ζ¹³−2ζ²³	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	−2ζ²⁹+2ζ³⁹	2ζ²⁹−2ζ³⁹	0	0	0	0	0	0	0	0	0
χ₄₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₅₀	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶
χ₅₁	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶
χ₅₂	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶
χ₅₃	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	1	-1	1	-1	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶
χ₅₄	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	-1	1	-1	1	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶
χ₅₅	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	1	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶
χ₅₆	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶
χ₅₇	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	0
χ₅₈	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0
χ₅₉	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0
χ₆₀	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0
χ₆₁	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0
χ₆₂	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	0	0	0	0	0	0	0	0
χ₆₃	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	2ζ²⁹−2ζ³⁹	−2ζ²⁹+2ζ³⁹	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	2ζ¹³−2ζ²³	−2ζ¹³+2ζ²³	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	−2ζ⁷+2ζ³⁷	2ζ⁷−2ζ³⁷	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	2ζ²¹−2ζ³¹	−2ζ²¹+2ζ³¹	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	−2ζ²⁹+2ζ³⁹	2ζ²⁹−2ζ³⁹	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	−2ζ¹³+2ζ²³	2ζ¹³−2ζ²³	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	2ζ⁷−2ζ³⁷	−2ζ⁷+2ζ³⁷	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	−2ζ²¹+2ζ³¹	2ζ²¹−2ζ³¹	0	0	0	0	0	0	0	0	0
χ₆₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₆₆	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸
χ₆₇	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸
χ₆₈	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸
χ₆₉	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	1	-1	1	-1	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸
χ₇₀	1	1	-1	-1	1	1	1	-1	1	1	-1	-1	-1	1	-1	1	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸
χ₇₁	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	1	-1	-1	1	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸
χ₇₂	1	1	-1	-1	1	1	1	-1	-1	-1	1	1	-1	1	1	-1	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸
χ₇₃	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	0	0	0	0	0
χ₇₄	2	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0
χ₇₅	2	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0
χ₇₆	2	2	-2	2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	ζ¹³−ζ²³	−ζ¹³+ζ²³	−ζ¹³+ζ²³	ζ¹³−ζ²³	0	0	0	0
χ₇₇	2	2	-2	2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	0	0	0	ζ⁷−ζ³⁷	−ζ⁷+ζ³⁷	−ζ⁷+ζ³⁷	ζ⁷−ζ³⁷	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	0	0	0	−ζ²⁹+ζ³⁹	ζ²⁹−ζ³⁹	ζ²⁹−ζ³⁹	−ζ²⁹+ζ³⁹	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	0	−ζ²¹+ζ³¹	ζ²¹−ζ³¹	ζ²¹−ζ³¹	−ζ²¹+ζ³¹	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	0	−ζ¹³+ζ²³	ζ¹³−ζ²³	ζ¹³−ζ²³	−ζ¹³+ζ²³	0	0	0	0
χ₇₈	2	2	-2	-2	2	-2	-2	2	0	0	0	0	0	0	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	2ζ¹²	2ζ¹²	−2ζ¹²	0	0	0	0	0	0	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	2ζ⁴	2ζ⁴	−2ζ⁴	0	0	0	0	0	0	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	2ζ³⁶	2ζ³⁶	−2ζ³⁶	0	0	0	0	0	0	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	2ζ²⁸	2ζ²⁸	−2ζ²⁸	0	0	0	0	0	0	0	0
χ₇₉	4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	−2ζ⁷+2ζ³⁷	2ζ⁷−2ζ³⁷	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	2ζ²⁹−2ζ³⁹	−2ζ²⁹+2ζ³⁹	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	2ζ²¹−2ζ³¹	−2ζ²¹+2ζ³¹	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	2ζ¹³−2ζ²³	−2ζ¹³+2ζ²³	0	0	0	0	0	0	0	0	0
χ₈₀	4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	0	−4ζ¹²	4ζ¹²	0	0	0	2ζ⁷−2ζ³⁷	−2ζ⁷+2ζ³⁷	0	0	0	0	0	0	0	0	0	−4ζ⁴	4ζ⁴	0	0	0	−2ζ²⁹+2ζ³⁹	2ζ²⁹−2ζ³⁹	0	0	0	0	0	0	0	0	0	−4ζ³⁶	4ζ³⁶	0	0	0	−2ζ²¹+2ζ³¹	2ζ²¹−2ζ³¹	0	0	0	0	0	0	0	0	0	−4ζ²⁸	4ζ²⁸	0	0	0	−2ζ¹³+2ζ²³	2ζ¹³−2ζ²³	0	0	0	0	0	0	0	0	0

Character table — Group #65672