Group #13161781 — 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	C₈₅	C₈₆	C₈₇
size	1	1	2	2	2	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	16	16	16	16	16	16	16	16	16	16	16	16	18	18	18	18	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	36	72	72	72	72	72	144	144
order	1	2	3	3	3	4	6	6	6	8	8	3	3	3	3	3	6	6	6	6	6	12	12	12	24	24	24	24	24	24	2	6	6	12	12	12	12	12	24	24	24	24	24	24	24	24	24	24	6	6	6	6	6	6	6	6	6	6	6	6	2	4	6	6	8	12	16	16	16	16	24	24	48	48	48	48	48	48	48	48	2	2	4	6	6	6	12
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	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	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	-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	-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	-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	-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	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	1	1	-1	1	1	1	-1
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	0	0	0	2	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	2	0	0	0	0	-2	-2	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	0	0	0	2	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	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	2	2	-2	2	2	2	0	0	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	-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	2	-2	2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₁₂	2	2	2	2	2	-2	2	2	2	0	0	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	-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	2	-2	2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	-2	2	2	2	0	0	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	-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	-2	2	-2	-2	0	2	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₁₄	2	2	2	2	2	-2	2	2	2	0	0	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	-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	-2	2	-2	-2	0	2	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₁₅	2	2	2	2	-1	2	2	-1	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	2	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	2	0	0	-1	-1	0	0
χ₁₆	2	2	2	2	-1	2	2	-1	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	2	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	-2	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	-2	0	0	1	1	0	0
χ₁₇	2	2	2	2	-1	2	2	-1	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-2	1	1	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	-1	-1	2	-1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	-2	0	0	1	1	0	0
χ₁₈	2	2	2	2	-1	2	2	-1	2	2	2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	-1	-1	2	2	2	2	-2	1	1	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	1	1	-2	1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	2	0	0	-1	-1	0	0
χ₁₉	2	2	2	2	-1	2	2	-1	2	-2	-2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	1	1	-2	-2	-2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	2	-1	-1	-1	-1	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	2	2	-1	-1	-2	-1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₂₀	2	2	2	2	-1	2	2	-1	2	-2	-2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	1	1	-2	-2	-2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	2	-1	-1	-1	-1	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	-2	-2	1	1	2	1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₁	2	2	2	2	-1	2	2	-1	2	-2	-2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	1	1	-2	-2	-2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	2	-1	-1	-1	-1	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	2	2	-1	-1	-2	-1	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0
χ₂₂	2	2	2	2	-1	2	2	-1	2	-2	-2	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	-1	1	1	-2	-2	-2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	2	-1	-1	-1	-1	-2	-2	1	1	1	1	1	1	1	1	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	-2	-2	1	1	2	1	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0
χ₂₃	2	2	2	-1	2	2	-1	2	2	2	2	-1	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	2	0	0	0	-1	0
χ₂₄	2	2	2	-1	2	2	-1	2	2	2	2	-1	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	2	2	2	-1	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	-2	-2	0	0	0	0	1	1	1	1	0	0	0	0	0	-2	0	0	0	1	0
χ₂₅	2	2	2	-1	2	2	-1	2	2	2	2	-1	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-2	-2	-2	-1	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-2	1	1	1	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	2	2	0	0	0	0	-1	-1	-1	-1	0	0	0	0	0	-2	0	0	0	1	0
χ₂₆	2	2	2	-1	2	2	-1	2	2	2	2	-1	2	-1	-1	-1	-1	2	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-2	-2	-2	-1	2	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-2	1	1	1	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	-2	-2	0	0	0	0	1	1	1	1	0	0	0	0	0	2	0	0	0	-1	0
χ₂₇	2	2	-1	2	2	2	2	2	-1	2	2	-1	-1	2	-1	-1	-1	-1	2	-1	-1	2	-1	2	2	2	-1	-1	2	2	2	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0	2	0	0	0	-1
χ₂₈	2	2	-1	2	2	2	2	2	-1	2	2	-1	-1	2	-1	-1	-1	-1	2	-1	-1	2	-1	2	2	2	-1	-1	2	2	2	2	2	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0	-2	0	0	0	1
χ₂₉	2	2	-1	2	2	2	2	2	-1	2	2	-1	-1	2	-1	-1	-1	-1	2	-1	-1	2	-1	2	2	2	-1	-1	2	2	-2	-2	-2	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	1	-2	1	1	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	2	2	0	0	0	0	0	0	-1	-1	-1	-1	0	0	-2	0	0	0	1
χ₃₀	2	2	-1	2	2	2	2	2	-1	2	2	-1	-1	2	-1	-1	-1	-1	2	-1	-1	2	-1	2	2	2	-1	-1	2	2	-2	-2	-2	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	1	-2	1	1	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	1	1	1	1	0	0	2	0	0	0	-1
χ₃₁	4	4	4	4	-2	-4	4	-2	4	0	0	4	-2	-2	-2	-2	4	-2	-2	-2	-2	-4	-4	2	0	0	0	0	0	0	0	0	0	-4	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	4	-4	-2	-2	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	4	4	-2	-4	4	-2	4	0	0	4	-2	-2	-2	-2	4	-2	-2	-2	-2	-4	-4	2	0	0	0	0	0	0	0	0	0	-4	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	-4	4	2	2	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	4	-2	4	4	-2	4	4	-4	-4	-2	4	-2	-2	-2	-2	4	-2	-2	-2	-2	4	4	-4	-4	-4	-4	2	2	0	0	0	-2	4	-2	-2	-2	2	2	-4	-4	2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	4	-2	4	-4	-2	4	4	0	0	-2	4	-2	-2	-2	-2	4	-2	-2	-2	2	-4	-4	0	0	0	0	0	0	0	0	0	2	-4	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	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	4	-2	4	-4	-2	4	4	0	0	-2	4	-2	-2	-2	-2	4	-2	-2	-2	2	-4	-4	0	0	0	0	0	0	0	0	0	2	-4	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	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	4	-2	-2	4	-2	-2	4	4	4	-2	-2	1	1	1	-2	-2	1	1	1	-2	4	-2	-2	-2	4	4	-2	-2	4	-2	-2	-2	-2	1	1	1	-2	-2	-2	-2	1	1	1	1	1	1	4	-2	-2	-2	-2	1	1	1	-2	1	1	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
χ₃₇	4	4	4	-2	-2	4	-2	-2	4	4	4	-2	-2	1	1	1	-2	-2	1	1	1	-2	4	-2	-2	-2	4	4	-2	-2	-4	2	2	-2	-2	1	1	1	-2	-2	-2	-2	1	1	1	1	1	1	-4	2	2	2	2	-1	-1	-1	2	-1	-1	-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
χ₃₈	4	4	4	-2	-2	4	-2	-2	4	-4	-4	-2	-2	1	1	1	-2	-2	1	1	1	-2	4	-2	2	2	-4	-4	2	2	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	-2	1	1	1	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	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
χ₃₉	4	4	4	-2	-2	4	-2	-2	4	-4	-4	-2	-2	1	1	1	-2	-2	1	1	1	-2	4	-2	2	2	-4	-4	2	2	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	-2	1	1	1	2	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	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
χ₄₀	4	4	-2	4	4	4	4	4	-2	-4	-4	-2	-2	4	-2	-2	-2	-2	4	-2	-2	4	-2	4	-4	-4	2	2	-4	-4	0	0	0	-2	-2	4	-2	-2	2	2	2	2	-4	-4	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	-2	4	4	-4	4	4	-2	0	0	-2	-2	4	-2	-2	-2	-2	4	-2	-2	-4	2	-4	0	0	0	0	0	0	0	0	0	2	2	-4	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	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0
χ₄₂	4	4	-2	4	4	-4	4	4	-2	0	0	-2	-2	4	-2	-2	-2	-2	4	-2	-2	-4	2	-4	0	0	0	0	0	0	0	0	0	2	2	-4	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	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0
χ₄₃	4	4	-2	4	-2	4	4	-2	-2	4	4	-2	1	-2	1	1	-2	1	-2	1	1	4	-2	-2	-2	-2	-2	-2	4	4	4	-2	-2	-2	1	-2	1	1	-2	-2	1	1	-2	-2	1	1	1	1	-2	4	-2	-2	1	-2	1	1	1	-2	1	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
χ₄₄	4	4	-2	4	-2	4	4	-2	-2	4	4	-2	1	-2	1	1	-2	1	-2	1	1	4	-2	-2	-2	-2	-2	-2	4	4	-4	2	2	-2	1	-2	1	1	-2	-2	1	1	-2	-2	1	1	1	1	2	-4	2	2	-1	2	-1	-1	-1	2	-1	-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
χ₄₅	4	4	-2	4	-2	4	4	-2	-2	-4	-4	-2	1	-2	1	1	-2	1	-2	1	1	4	-2	-2	2	2	2	2	-4	-4	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	1	-2	1	1	2	2	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	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
χ₄₆	4	4	-2	4	-2	4	4	-2	-2	-4	-4	-2	1	-2	1	1	-2	1	-2	1	1	4	-2	-2	2	2	2	2	-4	-4	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	1	-2	1	1	2	2	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0	$- i \sqrt{3}$	$2 i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- 2 i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	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
χ₄₇	4	4	-2	-2	4	4	-2	4	-2	4	4	1	-2	-2	1	1	1	-2	-2	1	1	-2	-2	4	4	4	-2	-2	-2	-2	4	4	4	1	-2	-2	1	1	1	1	-2	-2	-2	-2	1	1	1	1	-2	-2	1	1	-2	-2	1	1	-2	-2	1	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
χ₄₈	4	4	-2	-2	4	4	-2	4	-2	4	4	1	-2	-2	1	1	1	-2	-2	1	1	-2	-2	4	4	4	-2	-2	-2	-2	-4	-4	-4	1	-2	-2	1	1	1	1	-2	-2	-2	-2	1	1	1	1	2	2	-1	-1	2	2	-1	-1	2	2	-1	-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
χ₄₉	4	4	-2	-2	4	4	-2	4	-2	-4	-4	1	-2	-2	1	1	1	-2	-2	1	1	-2	-2	4	-4	-4	2	2	2	2	0	0	0	1	-2	-2	1	1	-1	-1	2	2	2	2	-1	-1	-1	-1	0	0	3	-3	0	0	3	-3	0	0	3	-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
χ₅₀	4	4	-2	-2	4	4	-2	4	-2	-4	-4	1	-2	-2	1	1	1	-2	-2	1	1	-2	-2	4	-4	-4	2	2	2	2	0	0	0	1	-2	-2	1	1	-1	-1	2	2	2	2	-1	-1	-1	-1	0	0	-3	3	0	0	-3	3	0	0	-3	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
χ₅₁	4	4	-2	-2	-2	4	-2	-2	-2	4	4	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	-2	-2	-2	-2	-2	-2	-2	-2	4	-2	-2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	-2	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	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
χ₅₂	4	4	-2	-2	-2	4	-2	-2	-2	4	4	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	-2	-2	-2	-2	-2	-2	-2	-2	-4	2	2	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	2	2	-1	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	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
χ₅₃	4	4	-2	-2	-2	4	-2	-2	-2	4	4	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	-2	-2	-2	-2	-2	-2	-2	-2	4	-2	-2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	-2	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	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
χ₅₄	4	4	-2	-2	-2	4	-2	-2	-2	4	4	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	-2	-2	-2	-2	-2	-2	-2	-2	-4	2	2	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	2	2	-1	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	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
χ₅₅	4	4	-2	-2	-2	4	-2	-2	-2	-4	-4	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	-2	-2	2	2	2	2	2	2	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	3	-3	$i \sqrt{3}$	$i \sqrt{3}$	$\frac{- 3 - i \sqrt{3}}{2}$	$\frac{3 - i \sqrt{3}}{2}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$\frac{- 3 + i \sqrt{3}}{2}$	$\frac{3 + i \sqrt{3}}{2}$	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
χ₅₆	4	4	-2	-2	-2	4	-2	-2	-2	-4	-4	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-2	-2	-2	2	2	2	2	2	2	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	-3	3	$- i \sqrt{3}$	$- i \sqrt{3}$	$\frac{3 + i \sqrt{3}}{2}$	$\frac{- 3 + i \sqrt{3}}{2}$	$i \sqrt{3}$	$i \sqrt{3}$	$\frac{3 - i \sqrt{3}}{2}$	$\frac{- 3 - i \sqrt{3}}{2}$	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
χ₅₇	4	4	-2	-2	-2	4	-2	-2	-2	-4	-4	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	-2	-2	2	2	2	2	2	2	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	-3	3	$i \sqrt{3}$	$i \sqrt{3}$	$\frac{3 - i \sqrt{3}}{2}$	$\frac{- 3 - i \sqrt{3}}{2}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$\frac{3 + i \sqrt{3}}{2}$	$\frac{- 3 + i \sqrt{3}}{2}$	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
χ₅₈	4	4	-2	-2	-2	4	-2	-2	-2	-4	-4	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-2	-2	-2	2	2	2	2	2	2	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	3	-3	$- i \sqrt{3}$	$- i \sqrt{3}$	$\frac{- 3 + i \sqrt{3}}{2}$	$\frac{3 + i \sqrt{3}}{2}$	$i \sqrt{3}$	$i \sqrt{3}$	$\frac{- 3 - i \sqrt{3}}{2}$	$\frac{3 - i \sqrt{3}}{2}$	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
χ₅₉	4	-4	4	4	4	0	-4	-4	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	4	4	4	4	-4	-4	-4	-4	-4	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	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
χ₆₀	4	-4	4	4	4	0	-4	-4	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	4	4	4	4	-4	-4	-4	-4	-4	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	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
χ₆₁	4	-4	4	4	-2	0	-4	2	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-2	-2	-2	-2	-4	2	2	2	2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	-4	4	4	-2	0	-4	2	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	4	-2	-2	-2	-2	-4	2	2	2	2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	-4	4	4	-2	0	-4	2	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-2	-2	-2	-2	-4	2	2	2	2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	4	4	-2	0	-4	2	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	4	-2	-2	-2	-2	-4	2	2	2	2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-4	4	-2	4	0	2	-4	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	4	-2	-2	-2	2	-4	2	2	2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ¹¹−ζ¹³+ζ²⁹+ζ⁴³	ζ¹¹+ζ¹³−ζ²⁹−ζ⁴³	−ζ²⁵+ζ³¹+ζ⁴¹−ζ⁴⁷	ζ²⁵−ζ³¹−ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-4	4	-2	4	0	2	-4	-4	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	4	-2	-2	-2	2	-4	2	2	2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ¹¹+ζ¹³−ζ²⁹−ζ⁴³	−ζ¹¹−ζ¹³+ζ²⁹+ζ⁴³	ζ²⁵−ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ²⁵+ζ³¹+ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	4	-4	4	-2	4	0	2	-4	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	4	-2	-2	-2	2	-4	2	2	2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	−ζ²⁵+ζ³¹+ζ⁴¹−ζ⁴⁷	ζ²⁵−ζ³¹−ζ⁴¹+ζ⁴⁷	ζ¹¹+ζ¹³−ζ²⁹−ζ⁴³	−ζ¹¹−ζ¹³+ζ²⁹+ζ⁴³	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-4	4	-2	4	0	2	-4	-4	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	4	-2	-2	-2	2	-4	2	2	2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	ζ²⁵−ζ³¹−ζ⁴¹+ζ⁴⁷	−ζ²⁵+ζ³¹+ζ⁴¹−ζ⁴⁷	−ζ¹¹−ζ¹³+ζ²⁹+ζ⁴³	ζ¹¹+ζ¹³−ζ²⁹−ζ⁴³	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	4	-4	-2	4	4	0	-4	-4	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	-2	4	-2	-2	2	2	-4	2	2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	0	0	0	0	0	0	0
χ₇₀	4	-4	-2	4	4	0	-4	-4	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	-2	-2	4	-2	-2	2	2	-4	2	2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	0	0	0	0	0	0	0
χ₇₁	4	-4	-2	4	4	0	-4	-4	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	-2	4	-2	-2	2	2	-4	2	2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	0	0	0	0	0	0	0
χ₇₂	4	-4	-2	4	4	0	-4	-4	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	-2	-2	4	-2	-2	2	2	-4	2	2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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	ζ¹¹−ζ¹³+ζ²⁹−ζ⁴³	−ζ¹¹+ζ¹³−ζ²⁹+ζ⁴³	−ζ²⁵−ζ³¹+ζ⁴¹+ζ⁴⁷	ζ²⁵+ζ³¹−ζ⁴¹−ζ⁴⁷	0	0	0	0	0	0	0
χ₇₃	8	8	8	-4	-4	-8	-4	-4	8	0	0	-4	-4	2	2	2	-4	-4	2	2	2	4	-8	4	0	0	0	0	0	0	0	0	0	4	4	-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	0	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	-4	8	-4	-8	8	-4	-4	0	0	-4	2	-4	2	2	-4	2	-4	2	2	-8	4	4	0	0	0	0	0	0	0	0	0	4	-2	4	-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	0	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	-4	-4	8	-8	-4	8	-4	0	0	2	-4	-4	2	2	2	-4	-4	2	2	4	4	-8	0	0	0	0	0	0	0	0	0	-2	4	4	-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	0	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	-4	-4	-4	-8	-4	-4	-4	0	0	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	4	4	4	0	0	0	0	0	0	0	0	0	-2	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	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	0	0	0	0
χ₇₇	8	8	-4	-4	-4	-8	-4	-4	-4	0	0	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	4	4	4	0	0	0	0	0	0	0	0	0	-2	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	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	0	0	0	0
χ₇₈	8	-8	8	-4	-4	0	4	4	-8	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-4	-4	2	2	2	4	4	-2	-2	-2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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
χ₇₉	8	-8	8	-4	-4	0	4	4	-8	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-4	-4	2	2	2	4	4	-2	-2	-2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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
χ₈₀	8	-8	-4	8	-4	0	-8	4	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-4	2	-4	2	2	4	-2	4	-2	-2	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	0	0	0	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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
χ₈₁	8	-8	-4	8	-4	0	-8	4	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-4	2	-4	2	2	4	-2	4	-2	-2	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	0	0	0	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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
χ₈₂	8	-8	-4	-4	8	0	4	-8	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	-4	-4	2	2	-2	4	4	-2	-2	0	0	0	$4 \sqrt{2}$	$- 4 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	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
χ₈₃	8	-8	-4	-4	8	0	4	-8	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	-4	-4	2	2	-2	4	4	-2	-2	0	0	0	$- 4 \sqrt{2}$	$4 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	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
χ₈₄	8	-8	-4	-4	-4	0	4	4	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	-2	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	−ζ¹⁰−2ζ¹⁴+2ζ²⁶+ζ⁴⁶	ζ¹⁰+2ζ¹⁴−2ζ²⁶−ζ⁴⁶	2ζ¹⁰+ζ¹⁴−ζ²⁶−2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴+ζ²⁶+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
χ₈₅	8	-8	-4	-4	-4	0	4	4	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	-2	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	2ζ¹⁰+ζ¹⁴−ζ²⁶−2ζ⁴⁶	−2ζ¹⁰−ζ¹⁴+ζ²⁶+2ζ⁴⁶	−ζ¹⁰−2ζ¹⁴+2ζ²⁶+ζ⁴⁶	ζ¹⁰+2ζ¹⁴−2ζ²⁶−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
χ₈₆	8	-8	-4	-4	-4	0	4	4	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	2	$- 1 - 3 i \sqrt{3}$	$- 1 + 3 i \sqrt{3}$	-2	-2	-2	$1 + 3 i \sqrt{3}$	$1 - 3 i \sqrt{3}$	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	ζ¹⁰+2ζ¹⁴−2ζ²⁶−ζ⁴⁶	−ζ¹⁰−2ζ¹⁴+2ζ²⁶+ζ⁴⁶	−2ζ¹⁰−ζ¹⁴+ζ²⁶+2ζ⁴⁶	2ζ¹⁰+ζ¹⁴−ζ²⁶−2ζ⁴⁶	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
χ₈₇	8	-8	-4	-4	-4	0	4	4	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	2	$- 1 + 3 i \sqrt{3}$	$- 1 - 3 i \sqrt{3}$	-2	-2	-2	$1 - 3 i \sqrt{3}$	$1 + 3 i \sqrt{3}$	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	−2ζ¹⁰−ζ¹⁴+ζ²⁶+2ζ⁴⁶	2ζ¹⁰+ζ¹⁴−ζ²⁶−2ζ⁴⁶	ζ¹⁰+2ζ¹⁴−2ζ²⁶−ζ⁴⁶	−ζ¹⁰−2ζ¹⁴+2ζ²⁶+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

Character table — Group #13161781