Group #13024839 — 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
size	1	1	1	1	2	2	4	4	4	4	4	4	8	8	8	8	8	8	10	10	10	10	10	10	16	16	16	16	16	20	20	20	20	20	20	20	20	20	40	40	40	40	80	1	1	1	1	2	2	4	4	4	4	4	4	8	8	8	8	8	8	10	10	10	10	10	10	16	16	16	16	16	20	20	20	20	20	20	20	20	20	40	40	40	40	80
order	1	2	2	2	4	4	5	8	8	10	10	10	20	20	40	40	40	40	4	4	8	8	8	8	2	10	10	10	10	4	16	16	16	16	16	16	16	16	8	8	8	8	4	2	2	2	2	4	4	10	8	8	10	10	10	20	20	40	40	40	40	4	4	8	8	8	8	2	10	10	10	10	4	16	16	16	16	16	16	16	16	8	8	8	8	4
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
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
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
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
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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	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	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	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	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	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	2	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	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	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	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₁₂	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₁₃	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₁₄	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₁₅	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	0	0	0	0	0	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	0	0	0	0	0
χ₁₆	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	0	0	0	0	0	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	0	0	0	0	0
χ₁₇	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	0	0	0	0	0	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	0	0	0	0	0
χ₁₈	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	0	0	0	0	0	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	0	0	0	0	0
χ₁₉	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	0	0	0	0	0	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	0	0	0	0	0
χ₂₀	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	0	0	0	0	0	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	0	0	0	0	0
χ₂₁	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	0	0	0	0	0	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	0	0	0	0	0
χ₂₂	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	0	0	0	0	0	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	0	0	0	0	0
χ₂₃	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₂₄	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₂₅	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0
χ₂₆	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0
χ₂₇	4	4	4	4	4	4	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	4	4	4	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	-4	4	-4	0	0	4	0	0	-4	4	-4	0	0	0	0	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	0	0	4	-4	4	-4	0	0	4	0	0	-4	4	-4	0	0	0	0	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	0	0
χ₃₂	4	-4	4	-4	0	0	4	0	0	-4	4	-4	0	0	0	0	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	0	0	4	-4	4	-4	0	0	4	0	0	-4	4	-4	0	0	0	0	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	0	0
χ₃₃	4	-4	-4	4	4	-4	4	0	0	-4	-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	4	-4	-4	4	4	-4	4	0	0	-4	-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
χ₃₄	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	8	8	8	8	-8	-8	-2	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	0	0	0	0	0	0	0	8	8	8	8	-8	-8	-2	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	0	0	0	0	0	0	0
χ₃₉	8	8	-8	-8	0	0	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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	8	8	-8	-8	0	0	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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
χ₄₀	8	8	-8	-8	0	0	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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	8	8	-8	-8	0	0	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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
χ₄₁	8	-8	8	-8	0	0	-2	0	0	2	-2	2	0	0	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	8	-8	0	0	-2	0	0	2	-2	2	0	0	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	8	-8	0	0	-2	0	0	2	-2	2	0	0	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	8	-8	0	0	-2	0	0	2	-2	2	0	0	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	8	-8	-8	8	-8	8	-2	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	0	0	0	0	0	0	0	8	-8	-8	8	-8	8	-2	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	0	0	0	0	0	0	0
χ₄₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₄₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1
χ₄₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1
χ₄₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1
χ₄₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	1
χ₄₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	1
χ₅₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-1
χ₅₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-1
χ₅₂	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	2	0	0	0	0	0	0	0	0	0	0	0	0	0	-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	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	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	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	-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	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0	-2	-2	-2	-2	2	2	-2	0	0	-2	-2	-2	2	2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0
χ₅₅	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	0	0	0	0	-2	-2	-2	-2	2	2	-2	0	0	-2	-2	-2	2	2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	0	0	0	0
χ₅₆	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	-2	-2	-2	-2	2	2	-2	0	0	-2	-2	-2	2	2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0
χ₅₇	2	2	2	2	-2	-2	2	0	0	2	2	2	-2	-2	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	2	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	-2	-2	-2	-2	2	2	-2	0	0	-2	-2	-2	2	2	0	0	0	0	2	2	0	0	0	0	0	0	0	0	0	-2	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0
χ₅₈	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	0	0	0	0	0	-2	-2	2	2	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	0	0	0	0	0
χ₅₉	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	0	0	0	0	0	-2	-2	2	2	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	0	0	0	0	0
χ₆₀	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	0	0	0	0	0	-2	-2	2	2	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	0	0	0	0	0
χ₆₁	2	2	-2	-2	0	0	2	$\sqrt{2}$	$- \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	0	0	0	0	0	-2	-2	2	2	0	0	-2	$- \sqrt{2}$	$\sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	0	0	0	0	0
χ₆₂	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	0	0	0	0	0	-2	-2	2	2	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	0	0	0	0	0
χ₆₃	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	0	0	0	0	0	-2	-2	2	2	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	0	0	0	0	0
χ₆₄	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	0	0	0	0	0	-2	-2	2	2	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	0	0	0	0	0
χ₆₅	2	2	-2	-2	0	0	2	$- \sqrt{2}$	$\sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- 2 i$	$2 i$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	0	0	0	0	0	-2	-2	2	2	0	0	-2	$\sqrt{2}$	$- \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$2 i$	$- 2 i$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	ζ¹³+ζ²⁹+ζ³¹+ζ⁴⁷+ζ⁶¹+ζ⁶³+ζ⁷⁷+ζ⁷⁹	−ζ¹³−ζ²⁹−ζ³¹−ζ⁴⁷−ζ⁶¹−ζ⁶³−ζ⁷⁷−ζ⁷⁹	−ζ⁹+ζ¹¹+ζ²⁷−ζ⁴¹+ζ⁴³−ζ⁵⁷+ζ⁵⁹−ζ⁷³	ζ⁹−ζ¹¹−ζ²⁷+ζ⁴¹−ζ⁴³+ζ⁵⁷−ζ⁵⁹+ζ⁷³	−ζ⁹−ζ¹¹−ζ²⁷−ζ⁴¹−ζ⁴³−ζ⁵⁷−ζ⁵⁹−ζ⁷³	ζ⁹+ζ¹¹+ζ²⁷+ζ⁴¹+ζ⁴³+ζ⁵⁷+ζ⁵⁹+ζ⁷³	−ζ¹³−ζ²⁹+ζ³¹+ζ⁴⁷−ζ⁶¹+ζ⁶³−ζ⁷⁷+ζ⁷⁹	ζ¹³+ζ²⁹−ζ³¹−ζ⁴⁷+ζ⁶¹−ζ⁶³+ζ⁷⁷−ζ⁷⁹	0	0	0	0	0
χ₆₆	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	-2	2	2	-2	2	-2	-2	0	0	2	2	-2	-2	2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0
χ₆₇	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	-2	2	2	-2	2	-2	-2	0	0	2	2	-2	-2	2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0
χ₆₈	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	-2	2	2	-2	2	-2	-2	0	0	2	2	-2	-2	2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0
χ₆₉	2	-2	-2	2	-2	2	2	0	0	-2	-2	2	2	-2	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	-2	2	2	-2	2	-2	-2	0	0	2	2	-2	-2	2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0
χ₇₀	4	4	4	4	4	4	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	1	-4	-4	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	4	4	4	4	4	4	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	1	-4	-4	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	1	4	4	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	4	4	4	4	4	4	-1	-4	-4	-1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	1	4	4	1	1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	4	-4	4	-4	0	0	4	0	0	-4	4	-4	0	0	0	0	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	0	0	-4	4	-4	4	0	0	-4	0	0	4	-4	4	0	0	0	0	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	0	0
χ₇₅	4	-4	4	-4	0	0	4	0	0	-4	4	-4	0	0	0	0	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	0	0	-4	4	-4	4	0	0	-4	0	0	4	-4	4	0	0	0	0	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	0	0
χ₇₆	4	-4	-4	4	4	-4	4	0	0	-4	-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	-4	4	4	-4	-4	4	-4	0	0	4	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
χ₇₇	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	-4	4	1	0	0	-1	-1	1	-1	1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	-4	4	1	0	0	-1	-1	1	-1	1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₉	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	-4	4	1	0	0	-1	-1	1	-1	1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₀	4	-4	-4	4	4	-4	-1	0	0	1	1	-1	1	-1	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	4	-4	-4	4	1	0	0	-1	-1	1	-1	1	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	−ζ⁸−ζ²⁴+ζ⁵⁶+ζ⁷²	ζ⁸+ζ²⁴−ζ⁵⁶−ζ⁷²	ζ⁸−ζ²⁴+ζ⁵⁶−ζ⁷²	−ζ⁸+ζ²⁴−ζ⁵⁶+ζ⁷²	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₈₁	8	8	8	8	-8	-8	-2	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	0	0	0	0	0	0	0	-8	-8	-8	-8	8	8	2	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	0	0	0	0	0	0	0
χ₈₂	8	8	-8	-8	0	0	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	-2	2	2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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	-8	-8	8	8	0	0	2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	-2	-2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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
χ₈₃	8	8	-8	-8	0	0	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	-2	2	2	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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	-8	-8	8	8	0	0	2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	-2	-2	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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
χ₈₄	8	-8	8	-8	0	0	-2	0	0	2	-2	2	0	0	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	-8	8	0	0	2	0	0	-2	2	-2	0	0	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	0	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	8	-8	0	0	-2	0	0	2	-2	2	0	0	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	-8	8	0	0	2	0	0	-2	2	-2	0	0	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	0	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	-8	8	-8	8	-2	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	0	0	0	0	0	0	0	-8	8	8	-8	8	-8	2	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	0	0	0	0	0	0	0

Character table — Group #13024839