Group #14313615 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄	C₇₅	C₇₆	C₇₇	C₇₈	C₇₉	C₈₀	C₈₁	C₈₂	C₈₃	C₈₄
size	1	1	2	2	2	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	20	20	20	20	24	24	24	24	24	40	40	40	40	40	40	40	60	60	120	120	1	1	2	2	2	4	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	20	20	20	20	24	24	24	24	24	40	40	40	40	40	40	40	60	60	120	120
order	1	2	2	3	6	4	5	6	10	10	10	12	15	20	20	30	30	30	60	60	60	60	4	4	12	12	4	20	20	20	20	8	8	12	24	24	24	24	4	4	8	8	2	2	2	6	6	4	10	6	10	10	10	12	30	20	20	30	30	30	60	60	60	60	4	4	12	12	4	20	20	20	20	8	8	12	24	24	24	24	4	4	8	8
χ₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	1	-1	-1	-1	-1	1	1	-1	-1
χ₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	-1	-1	-1	-1
χ₄	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	-1	-1	-1	-1	-1	-1	1	1
χ₅	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$- i$	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	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$- i$
χ₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$i$	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	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$i$
χ₇	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	1	$- i$	$i$	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	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	1	$- i$	$i$
χ₈	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	1	$i$	$- i$	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	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	1	$i$	$- i$
χ₉	2	2	2	2	2	-2	2	2	2	2	2	-2	2	-2	-2	2	2	2	-2	-2	-2	-2	2	-2	2	2	0	0	0	0	0	0	0	-2	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	2	2	0	0	0	0	0	0	0	-2	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	0	0	0	0	0	0	0	2	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	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	2	2	-1	-1	-1	-1	-1	0	0	0	0	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	2	2	-1	-1	-1	-1	-1	0	0	0	0
χ₁₂	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	-2	-2	-1	1	1	1	1	0	0	0	0	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	-2	-2	-1	1	1	1	1	0	0	0	0
χ₁₃	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	$2 i$	$- 2 i$	1	$- i$	$- i$	$i$	$i$	0	0	0	0	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	$2 i$	$- 2 i$	1	$- i$	$- i$	$i$	$i$	0	0	0	0
χ₁₄	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	$- 2 i$	$2 i$	1	$i$	$i$	$- i$	$- i$	0	0	0	0	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	$- 2 i$	$2 i$	1	$i$	$i$	$- i$	$- i$	0	0	0	0
χ₁₅	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₁₆	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₁₇	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	-2	2	1	1	0	0	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	-2	2	1	1	0	0	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₁₈	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	-2	2	1	1	0	0	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	-2	2	1	1	0	0	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₁₉	4	4	4	4	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	4	-4	-1	4	-1	-1	-1	-4	-1	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	-4	-1	4	-1	-1	-1	-4	-1	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	4	-4	-1	4	-1	-1	-1	-4	-1	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	-4	-1	4	-1	-1	-1	-4	-1	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	4	-4	4	4	0	4	-4	-4	-4	4	0	4	0	0	-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	4	4	-4	4	4	0	4	-4	-4	-4	4	0	4	0	0	-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
χ₂₄	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	-4	-2	-2	0	4	2	-4	-4	4	0	-2	0	0	2	2	-2	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	-2	-2	0	4	2	-4	-4	4	0	-2	0	0	2	2	-2	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	-4	-2	-2	0	4	2	-4	-4	4	0	-2	0	0	2	2	-2	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	-4	-2	-2	0	4	2	-4	-4	4	0	-2	0	0	2	2	-2	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	-4	0	4	-4	0	4	0	0	0	-4	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	4	-4	0	4	-4	0	4	0	0	0	-4	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0
χ₃₁	4	-4	0	4	-4	0	4	0	0	0	-4	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	4	-4	0	4	-4	0	4	0	0	0	-4	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0
χ₃₂	8	8	8	-4	-4	8	-2	-4	-2	-2	-2	-4	1	-2	-2	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	8	8	8	-4	-4	8	-2	-4	-2	-2	-2	-4	1	-2	-2	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
χ₃₃	8	8	8	-4	-4	-8	-2	-4	-2	-2	-2	4	1	2	2	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	8	8	8	-4	-4	-8	-2	-4	-2	-2	-2	4	1	2	2	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
χ₃₄	8	8	-8	-4	-4	0	-2	4	2	2	-2	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-8	-4	-4	0	-2	4	2	2	-2	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	8	8	-8	-4	-4	0	-2	4	2	2	-2	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	8	-8	-4	-4	0	-2	4	2	2	-2	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	8	-8	0	8	-8	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	-2	0	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	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	8	-8	0	8	-8	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	-2	0	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	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
χ₃₇	8	-8	0	8	-8	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	-2	0	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	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	8	-8	0	8	-8	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	-2	0	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	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
χ₃₈	8	-8	0	-4	4	0	8	0	0	0	-8	0	-4	0	0	0	0	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	8	-8	0	-4	4	0	8	0	0	0	-8	0	-4	0	0	0	0	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
χ₃₉	8	-8	0	-4	4	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	1	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	-4	4	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	1	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	8	-8	0	-4	4	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	1	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	-4	4	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	1	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	8	-8	0	-4	4	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	1	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	-4	4	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	1	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	8	-8	0	-4	4	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	1	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	8	-8	0	-4	4	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	1	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
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
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
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
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	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$- i$	-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	$- i$	$i$	1	$- i$	$- i$	$i$	$i$	1	1	$- i$	$i$
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	1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$i$	-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	$i$	$- i$	1	$i$	$i$	$- i$	$- i$	1	1	$i$	$- i$
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	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	1	$- i$	$i$	-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	$- i$	$i$	1	$- i$	$- i$	$i$	$i$	-1	-1	$i$	$- i$
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	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	1	$i$	$- i$	-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	$i$	$- i$	1	$i$	$i$	$- i$	$- i$	-1	-1	$- i$	$i$
χ₅₁	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	-2	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	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0
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	-2	-2	0	0	0	0	0	0	0	2	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	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0
χ₅₃	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	2	2	-1	-1	-1	-1	-1	0	0	0	0	-2	-2	-2	1	1	-2	-2	1	-2	-2	-2	1	1	-2	-2	1	1	1	1	1	1	1	-2	-2	1	1	0	0	0	0	0	-2	-2	1	1	1	1	1	0	0	0	0
χ₅₄	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	-2	-2	-1	1	1	1	1	0	0	0	0	-2	-2	-2	1	1	-2	-2	1	-2	-2	-2	1	1	-2	-2	1	1	1	1	1	1	1	-2	-2	1	1	0	0	0	0	0	2	2	1	-1	-1	-1	-1	0	0	0	0
χ₅₅	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	$2 i$	$- 2 i$	1	$- i$	$- i$	$i$	$i$	0	0	0	0	-2	-2	-2	1	1	-2	-2	1	-2	-2	-2	1	1	-2	-2	1	1	1	1	1	1	1	2	2	-1	-1	0	0	0	0	0	$- 2 i$	$2 i$	-1	$i$	$i$	$- i$	$- i$	0	0	0	0
χ₅₆	2	2	2	-1	-1	2	2	-1	2	2	2	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	$- 2 i$	$2 i$	1	$i$	$i$	$- i$	$- i$	0	0	0	0	-2	-2	-2	1	1	-2	-2	1	-2	-2	-2	1	1	-2	-2	1	1	1	1	1	1	1	2	2	-1	-1	0	0	0	0	0	$2 i$	$- 2 i$	-1	$- i$	$- i$	$i$	$i$	0	0	0	0
χ₅₇	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	-2	-2	-2	1	1	2	-2	1	-2	-2	-2	-1	1	2	2	1	1	1	-1	-1	-1	-1	-2	2	1	1	0	0	0	0	0	0	0	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₅₈	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	-2	-2	-2	1	1	2	-2	1	-2	-2	-2	-1	1	2	2	1	1	1	-1	-1	-1	-1	-2	2	1	1	0	0	0	0	0	0	0	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₅₉	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	-2	2	1	1	0	0	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	-2	-2	-2	1	1	2	-2	1	-2	-2	-2	-1	1	2	2	1	1	1	-1	-1	-1	-1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₆₀	2	2	2	-1	-1	-2	2	-1	2	2	2	1	-1	-2	-2	-1	-1	-1	1	1	1	1	-2	2	1	1	0	0	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	-2	-2	-2	1	1	2	-2	1	-2	-2	-2	-1	1	2	2	1	1	1	-1	-1	-1	-1	2	-2	-1	-1	0	0	0	0	0	0	0	1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₆₁	4	4	4	4	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	1	-4	1	1	1	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	4	4	4	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	1	-4	1	1	1	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	0	4	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	4	4	4	4	-4	-1	4	-1	-1	-1	-4	-1	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	4	1	-4	1	1	1	4	1	-1	-1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	4	4	4	4	-4	-1	4	-1	-1	-1	-4	-1	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	4	1	-4	1	1	1	4	1	-1	-1	1	1	1	-1	-1	-1	-1	0	0	0	0	0	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	4	-4	4	4	0	4	-4	-4	-4	4	0	4	0	0	-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	-4	-4	4	-4	-4	0	-4	4	4	4	-4	0	-4	0	0	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
χ₆₆	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-4	-4	0	1	4	-1	-1	1	0	1	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$- \sqrt{5}$	$\sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-4	-4	0	1	4	-1	-1	1	0	1	$\sqrt{5}$	$- \sqrt{5}$	-1	-1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-4	-4	0	1	4	-1	-1	1	0	1	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	4	4	-4	4	4	0	-1	-4	1	1	-1	0	-1	$\sqrt{5}$	$- \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	-4	-4	0	1	4	-1	-1	1	0	1	$- \sqrt{5}$	$\sqrt{5}$	-1	-1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	ζ²+ζ¹⁴+ζ²²−ζ²⁶+ζ³⁴−ζ³⁸−ζ⁴⁶−ζ⁵⁸	−ζ²−ζ¹⁴−ζ²²+ζ²⁶−ζ³⁴+ζ³⁸+ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴−ζ²²−ζ²⁶+ζ³⁴+ζ³⁸−ζ⁴⁶+ζ⁵⁸	ζ²−ζ¹⁴+ζ²²+ζ²⁶−ζ³⁴−ζ³⁸+ζ⁴⁶−ζ⁵⁸	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	4	4	-4	-2	-2	0	4	2	-4	-4	4	0	-2	0	0	2	2	-2	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	2	2	0	-4	-2	4	4	-4	0	2	0	0	-2	-2	2	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	4	4	-4	-2	-2	0	4	2	-4	-4	4	0	-2	0	0	2	2	-2	0	0	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	4	2	2	0	-4	-2	4	4	-4	0	2	0	0	-2	-2	2	0	0	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	4	-4	0	4	-4	0	4	0	0	0	-4	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	-4	4	0	-4	4	0	-4	0	0	0	4	0	-4	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0
χ₇₃	4	-4	0	4	-4	0	4	0	0	0	-4	0	4	0	0	0	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	-4	4	0	-4	4	0	-4	0	0	0	4	0	-4	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0
χ₇₄	8	8	8	-4	-4	8	-2	-4	-2	-2	-2	-4	1	-2	-2	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	-8	-8	-8	4	4	-8	2	4	2	2	2	4	-1	2	2	-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
χ₇₅	8	8	8	-4	-4	-8	-2	-4	-2	-2	-2	4	1	2	2	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	-8	-8	-8	4	4	8	2	4	2	2	2	-4	-1	-2	-2	-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
χ₇₆	8	8	-8	-4	-4	0	-2	4	2	2	-2	0	1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-1	-1	1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	8	4	4	0	2	-4	-2	-2	2	0	-1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	1	1	-1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	8	8	-8	-4	-4	0	-2	4	2	2	-2	0	1	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-1	-1	1	$- \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$\sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	-8	8	4	4	0	2	-4	-2	-2	2	0	-1	$- 2 \sqrt{5}$	$2 \sqrt{5}$	1	1	-1	$\sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$- \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	8	-8	0	8	-8	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	-2	0	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	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	-8	8	0	-8	8	0	2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-2	0	2	0	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-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
χ₇₉	8	-8	0	8	-8	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	-2	0	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	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	-8	8	0	-8	8	0	2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-2	0	2	0	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-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
χ₈₀	8	-8	0	-4	4	0	8	0	0	0	-8	0	-4	0	0	0	0	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	-8	8	0	4	-4	0	-8	0	0	0	8	0	4	0	0	0	0	-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
χ₈₁	8	-8	0	-4	4	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	1	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	4	-4	0	2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-2	0	-1	0	0	$- \sqrt{5}$	$\sqrt{5}$	1	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	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	4	0	-2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	2	0	1	0	0	$\sqrt{5}$	$- \sqrt{5}$	-1	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	4	-4	0	2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-2	0	-1	0	0	$- \sqrt{5}$	$\sqrt{5}$	1	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	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	4	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	1	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	4	-4	0	2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-2	0	-1	0	0	$\sqrt{5}$	$- \sqrt{5}$	1	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	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	4	0	-2	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	2	0	1	0	0	$- \sqrt{5}$	$\sqrt{5}$	-1	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-8	8	0	4	-4	0	2	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-2	0	-1	0	0	$\sqrt{5}$	$- \sqrt{5}$	1	−ζ⁷+ζ¹¹+ζ¹⁹−ζ²³−ζ³¹+ζ⁴³+ζ⁴⁷−ζ⁵⁹	ζ⁷−ζ¹¹−ζ¹⁹+ζ²³+ζ³¹−ζ⁴³−ζ⁴⁷+ζ⁵⁹	−ζ⁷−ζ¹¹−ζ¹⁹−ζ²³+ζ³¹+ζ⁴³+ζ⁴⁷+ζ⁵⁹	ζ⁷+ζ¹¹+ζ¹⁹+ζ²³−ζ³¹−ζ⁴³−ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #14313615