Group #14278418 — 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	4	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	10	10	10	10	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	20	20	20	20	20	20	20	20	20	20	80	80	80	120	120	120	120	120	120	120	120
order	1	2	2	3	4	4	6	6	6	4	4	5	10	10	10	12	12	12	12	12	12	15	15	30	30	30	30	30	30	20	20	20	20	20	20	60	60	60	60	60	60	60	60	60	60	60	60	8	8	8	8	4	12	12	20	20	20	20	60	60	60	60	60	60	60	60	8	8	24	24	24	24	24	24	24	24	2	6	6	16	16	16	16	16	16	16	16
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	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	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
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	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$
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	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	2	2	2	2	-2	-2	-2	-2	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	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0
χ₁₂	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-2	1	1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	1	1	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	1	1	1	1	1	1	-2	1	1	0	0	0	0	0	0	0	0
χ₁₄	2	2	2	-1	2	2	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	1	1	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	1	1	1	1	1	1	1	1	2	-1	-1	0	0	0	0	0	0	0	0
χ₁₅	2	2	2	-1	2	2	-1	-1	-1	-2	-2	2	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	1	1	1	1	1	1	1	1	-1	-1	-1	-1	2	2	-2	-2	0	$- i \sqrt{3}$	$i \sqrt{3}$	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	-1	-1	1	1	1	1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	-1	2	2	-1	-1	-1	-2	-2	2	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	1	1	1	1	1	1	1	1	-1	-1	-1	-1	2	2	-2	-2	0	$i \sqrt{3}$	$- i \sqrt{3}$	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	-1	-1	1	1	1	1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₇	2	2	2	-1	2	2	-1	-1	-1	-2	-2	2	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-2	-2	2	2	0	$- i \sqrt{3}$	$i \sqrt{3}$	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	1	1	-1	-1	-1	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	-1	2	2	-1	-1	-1	-2	-2	2	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-2	-2	2	2	0	$i \sqrt{3}$	$- i \sqrt{3}$	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	1	1	-1	-1	-1	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₁₉	2	2	-2	2	2	-2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	2	-2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	2	2	-2	-2	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₂₀	2	2	-2	2	2	-2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	2	-2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	2	2	-2	-2	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₂₁	2	2	-2	2	2	-2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	2	-2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	-2	-2	2	2	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₂₂	2	2	-2	2	2	-2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	2	-2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	2	2	-2	-2	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	-2	-2	2	2	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₂₃	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$
χ₂₄	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$
χ₂₅	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$
χ₂₆	2	2	-2	2	-2	2	-2	-2	2	0	0	2	-2	-2	2	0	0	0	0	-2	2	2	2	-2	-2	-2	-2	2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	-2	-2	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$
χ₂₇	4	4	4	4	4	4	4	4	4	4	4	-1	-1	-1	-1	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	4	4	4	4	4	4	4	-1	-1	-1	-1	4	4	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	-4	-4	1	1	1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	4	4	4	4	4	-4	-4	-1	-1	-1	-1	-4	-4	-4	-4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	4	4	4	4	4	4	-4	-4	-1	-1	-1	-1	-4	-4	-4	-4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	4	4	-4	-4	4	4	4	0	0	4	4	4	4	0	0	0	0	-4	-4	4	4	4	4	4	4	4	4	0	0	0	0	-4	-4	0	0	0	0	0	0	0	0	-4	-4	-4	-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
χ₃₂	4	4	4	4	-4	-4	4	4	4	0	0	-1	-1	-1	-1	0	0	0	0	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	1	1	0	0	0	0	0	0	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	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	4	-4	-4	4	4	4	0	0	-1	-1	-1	-1	0	0	0	0	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	1	1	0	0	0	0	0	0	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	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	4	-4	-4	4	4	4	0	0	-1	-1	-1	-1	0	0	0	0	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	1	1	0	0	0	0	0	0	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	4	4	-4	-4	4	4	4	0	0	-1	-1	-1	-1	0	0	0	0	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	1	1	0	0	0	0	0	0	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	4	-2	4	4	-2	-2	-2	4	4	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	4	-2	-2	-1	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	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	4	4	-2	-2	-2	4	4	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-4	2	2	1	1	1	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	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	4	4	-2	-2	-2	4	4	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	4	-2	-2	-1	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	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	4	4	-2	-2	-2	4	4	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-4	2	2	1	1	1	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	4	-2	4	4	-2	-2	-2	-4	-4	-1	-1	-1	-1	2	2	2	2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	4	-2	4	4	-2	-2	-2	-4	-4	-1	-1	-1	-1	2	2	2	2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	4	4	-2	4	4	-2	-2	-2	-4	-4	-1	-1	-1	-1	2	2	2	2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	4	-2	4	4	-2	-2	-2	-4	-4	-1	-1	-1	-1	2	2	2	2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	4	-2	-4	-4	-2	-2	-2	0	0	4	4	4	4	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	-4	-4	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	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	0
χ₄₅	4	4	4	-2	-4	-4	-2	-2	-2	0	0	4	4	4	4	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	-4	-4	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	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	0
χ₄₆	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	1	1	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	4	4	-2	-4	-4	-2	-2	-2	0	0	-1	-1	-1	-1	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	1	1	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	−ζ⁴+ζ⁶⁸−ζ⁷⁶+ζ⁹²	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸−ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸+ζ⁷⁶−ζ⁹²	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴−ζ⁵²+ζ¹¹⁶	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	−ζ⁴−ζ²⁸−ζ⁴⁴+ζ⁵²−ζ⁶⁸+ζ⁷⁶+ζ⁹²+ζ¹¹⁶	ζ⁴+ζ²⁸+ζ⁴⁴−ζ⁵²+ζ⁶⁸−ζ⁷⁶−ζ⁹²−ζ¹¹⁶	ζ⁴−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ⁶⁸−ζ⁷⁶+ζ⁹²−ζ¹¹⁶	−ζ⁴+ζ²⁸−ζ⁴⁴−ζ⁵²+ζ⁶⁸+ζ⁷⁶−ζ⁹²+ζ¹¹⁶	ζ⁴+ζ⁶⁸−ζ⁷⁶−ζ⁹²	−ζ⁴−ζ⁶⁸+ζ⁷⁶+ζ⁹²	ζ²⁸−ζ⁴⁴−ζ⁵²+ζ¹¹⁶	−ζ²⁸+ζ⁴⁴+ζ⁵²−ζ¹¹⁶	ζ²⁸+ζ⁴⁴−ζ⁵²−ζ¹¹⁶	−ζ²⁸−ζ⁴⁴+ζ⁵²+ζ¹¹⁶	−ζ⁴+ζ⁶⁸+ζ⁷⁶−ζ⁹²	ζ⁴−ζ⁶⁸−ζ⁷⁶+ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	4	-4	-2	4	-4	2	2	-2	0	0	4	-4	-4	4	0	0	0	0	-2	2	-2	-2	2	2	2	2	-2	-2	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	4	-4	-2	4	-4	2	2	-2	0	0	4	-4	-4	4	0	0	0	0	-2	2	-2	-2	2	2	2	2	-2	-2	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	-2	-2	2	2	0	0	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	4	4	-4	-2	-4	4	2	2	-2	0	0	4	-4	-4	4	0	0	0	0	2	-2	-2	-2	2	2	2	2	-2	-2	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	2	2	-2	-2	4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	4	4	-4	-2	-4	4	2	2	-2	0	0	4	-4	-4	4	0	0	0	0	2	-2	-2	-2	2	2	2	2	-2	-2	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	2	2	-2	-2	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	4	-4	0	4	0	0	0	0	-4	2	-2	4	0	0	-4	2	-2	2	-2	0	0	4	4	0	0	0	0	-4	-4	2	-2	2	-2	0	0	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	-4	0	4	0	0	0	0	-4	2	-2	4	0	0	-4	2	-2	2	-2	0	0	4	4	0	0	0	0	-4	-4	2	-2	2	-2	0	0	2	-2	2	-2	2	-2	2	-2	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	-4	0	4	0	0	0	0	-4	-2	2	4	0	0	-4	-2	2	-2	2	0	0	4	4	0	0	0	0	-4	-4	-2	2	-2	2	0	0	-2	2	-2	2	-2	2	-2	2	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	-4	0	4	0	0	0	0	-4	-2	2	4	0	0	-4	-2	2	-2	2	0	0	4	4	0	0	0	0	-4	-4	-2	2	-2	2	0	0	-2	2	-2	2	-2	2	-2	2	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	-4	0	-2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	-2	4	0	0	-4	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	2	-2	2	-2	0	0	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	-4	0	-2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	-2	4	0	0	-4	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	2	-2	2	-2	0	0	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	0	-2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	-2	2	4	0	0	-4	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	-2	2	-2	2	0	0	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-4	0	-2	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	-2	2	4	0	0	-4	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	-2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	2	-2	2	-2	2	0	0	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	$i \sqrt{2}$	$- i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-4	0	-2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	-2	4	0	0	-4	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	2	-2	2	-2	0	0	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	4	-4	0	-2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	-2	4	0	0	-4	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	0	0	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	2	-2	2	-2	0	0	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 - i \sqrt{3}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	-4	0	-2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	-2	2	4	0	0	-4	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	-2	2	-2	2	0	0	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	4	-4	0	-2	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	-2	2	4	0	0	-4	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	0	0	-2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	2	-2	2	-2	2	0	0	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 + i \sqrt{3}$	$- 1 - i \sqrt{3}$	$1 - i \sqrt{3}$	$- 1 + i \sqrt{3}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$\sqrt{6}$	$- \sqrt{6}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- \sqrt{6}$	$\sqrt{6}$	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	8	8	-8	8	8	-8	-8	-8	8	0	0	-2	2	2	-2	0	0	0	0	8	-8	-2	-2	2	2	2	2	-2	-2	0	0	0	0	-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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	8	8	-8	8	-8	8	-8	-8	8	0	0	-2	2	2	-2	0	0	0	0	-8	8	-2	-2	2	2	2	2	-2	-2	0	0	0	0	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	8	8	-8	-4	8	-8	4	4	-4	0	0	-2	2	2	-2	0	0	0	0	-4	4	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	-4	8	-8	4	4	-4	0	0	-2	2	2	-2	0	0	0	0	-4	4	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	-4	-8	8	4	4	-4	0	0	-2	2	2	-2	0	0	0	0	4	-4	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	-4	-8	8	4	4	-4	0	0	-2	2	2	-2	0	0	0	0	4	-4	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	8	0	0	0	0	-8	4	-4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	4	-4	4	-4	0	0	-2	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	2	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	8	0	0	0	0	-8	4	-4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	4	-4	4	-4	0	0	-2	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	2	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	8	0	0	0	0	-8	-4	4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	-4	4	-4	4	0	0	-2	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	2	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	8	0	0	0	0	-8	-4	4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	-4	4	-4	4	0	0	-2	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	2	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	4	4	-4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$- 2 - 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	−2ζ⁶⁸−2ζ⁹²	2ζ⁶⁸+2ζ⁹²	−2ζ²⁸−2ζ⁵²	2ζ²⁸+2ζ⁵²	−2ζ⁴−2ζ⁷⁶	2ζ⁴+2ζ⁷⁶	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁴⁴+2ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	4	4	-4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$- 2 - 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁴−2ζ⁷⁶	2ζ⁴+2ζ⁷⁶	−2ζ²⁸−2ζ⁵²	2ζ²⁸+2ζ⁵²	−2ζ⁶⁸−2ζ⁹²	2ζ⁶⁸+2ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	4	-4	4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	2ζ⁶⁸+2ζ⁹²	−2ζ⁶⁸−2ζ⁹²	2ζ²⁸+2ζ⁵²	−2ζ²⁸−2ζ⁵²	2ζ⁴+2ζ⁷⁶	−2ζ⁴−2ζ⁷⁶	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁴⁴−2ζ¹¹⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	4	-4	4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁴+2ζ⁷⁶	−2ζ⁴−2ζ⁷⁶	2ζ²⁸+2ζ⁵²	−2ζ²⁸−2ζ⁵²	2ζ⁶⁸+2ζ⁹²	−2ζ⁶⁸−2ζ⁹²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	4	4	-4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$- 2 + 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	0	0	−2ζ²⁸−2ζ⁵²	2ζ²⁸+2ζ⁵²	−2ζ⁶⁸−2ζ⁹²	2ζ⁶⁸+2ζ⁹²	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁴−2ζ⁷⁶	2ζ⁴+2ζ⁷⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	4	4	-4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$- 2 + 2 i \sqrt{3}$	$2 - 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 + \sqrt{5}$	$1 - \sqrt{5}$	$- 1 - \sqrt{5}$	$1 + \sqrt{5}$	0	0	−2ζ⁴−2ζ⁷⁶	2ζ⁴+2ζ⁷⁶	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁶⁸−2ζ⁹²	2ζ⁶⁸+2ζ⁹²	−2ζ²⁸−2ζ⁵²	2ζ²⁸+2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	4	-4	4	-2	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	$2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	0	0	2ζ²⁸+2ζ⁵²	−2ζ²⁸−2ζ⁵²	2ζ⁶⁸+2ζ⁹²	−2ζ⁶⁸−2ζ⁹²	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁴+2ζ⁷⁶	−2ζ⁴−2ζ⁷⁶	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	-4	0	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	4	-4	4	-2	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	$2 - 2 i \sqrt{3}$	$- 2 + 2 i \sqrt{3}$	$2 + 2 i \sqrt{3}$	$- 2 - 2 i \sqrt{3}$	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	−2ζ⁴+2ζ⁶⁸−2ζ⁷⁶+2ζ⁹²	2ζ⁴−2ζ⁶⁸+2ζ⁷⁶−2ζ⁹²	−2ζ²⁸+2ζ⁴⁴−2ζ⁵²+2ζ¹¹⁶	2ζ²⁸−2ζ⁴⁴+2ζ⁵²−2ζ¹¹⁶	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 - \sqrt{5}$	$- 1 + \sqrt{5}$	$1 + \sqrt{5}$	$- 1 - \sqrt{5}$	0	0	2ζ⁴+2ζ⁷⁶	−2ζ⁴−2ζ⁷⁶	2ζ⁴⁴+2ζ¹¹⁶	−2ζ⁴⁴−2ζ¹¹⁶	2ζ⁶⁸+2ζ⁹²	−2ζ⁶⁸−2ζ⁹²	2ζ²⁸+2ζ⁵²	−2ζ²⁸−2ζ⁵²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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 #14278418