Group #13146366 — 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
size	1	1	2	2	2	2	2	2	2	4	4	4	4	4	6	6	8	8	8	8	8	8	12	12	12	12	12	12	12	16	16	16	16	16	16	16	16	16	16	16	16	16	16	16	24	24	36	36	36	36	36	36	36	36	36	48	48	48	48	48	48	72	72	72	216	216
order	1	2	3	3	4	6	6	12	12	3	6	12	12	12	2	4	9	9	9	18	18	18	2	6	6	6	6	12	12	9	9	9	18	18	18	36	36	36	36	36	36	36	36	36	6	12	4	4	4	12	12	12	12	12	12	18	18	18	18	18	18	8	24	24	4	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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	0	0	2	2	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	0
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	2	-2	-2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-2	0	0	-2	-2	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0
χ₇	2	2	2	2	-2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	2	2	2	2	2	2	0	-2	0	0	-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	0	0	0	0	0
χ₈	2	2	2	2	-2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	-1	-1	-1	-1	-1	-1	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-2	2	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0
χ₉	2	2	2	2	-2	2	2	-2	-2	2	2	-2	-2	-2	-2	2	-1	-1	-1	-1	-1	-1	0	-2	0	0	-2	2	2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-2	2	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0
χ₁₀	2	2	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	2	2	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	2	-1	-1	-1	2	2	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	-1	-1	2	0	0	-1	-1	0	0	0	0	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0	0
χ₁₁	2	2	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	2	2	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	-2	-1	1	1	2	2	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	-1	-1	-2	0	0	1	1	0	0	0	0	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0	0
χ₁₂	2	2	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	2	2	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	2	-1	-1	-1	2	2	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	-1	-1	2	0	0	-1	-1	0	0	0	0	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0
χ₁₃	2	2	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	2	2	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	-2	-1	1	1	2	2	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	-1	-1	-2	0	0	1	1	0	0	0	0	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0
χ₁₄	2	2	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	2	2	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	2	-1	-1	-1	2	2	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	-1	-1	2	0	0	-1	-1	0	0	0	0	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	0	0	0	0
χ₁₅	2	2	2	-1	2	2	-1	2	2	-1	-1	-1	-1	-1	2	2	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	-2	-1	1	1	2	2	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	-1	-1	-2	0	0	1	1	0	0	0	0	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	0	0
χ₁₆	2	2	2	-1	-2	2	-1	-2	-2	-1	-1	1	1	1	-2	2	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-2	2	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	1	-1	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	−ζ²²−ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	0	0	0	0	0
χ₁₇	2	2	2	-1	-2	2	-1	-2	-2	-1	-1	1	1	1	-2	2	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-2	2	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	1	-1	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	ζ²²+ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	0	0	0	0	0
χ₁₈	2	2	2	-1	-2	2	-1	-2	-2	-1	-1	1	1	1	-2	2	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-2	2	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	1	-1	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	−ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	0	0	0	0	0
χ₁₉	2	2	2	-1	-2	2	-1	-2	-2	-1	-1	1	1	1	-2	2	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-2	2	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	1	-1	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	−ζ¹⁴+ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	0	0	0	0	0
χ₂₀	2	2	2	-1	-2	2	-1	-2	-2	-1	-1	1	1	1	-2	2	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	1	$- i \sqrt{3}$	$i \sqrt{3}$	-2	2	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	1	-1	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²	0	0	0	0	0
χ₂₁	2	2	2	-1	-2	2	-1	-2	-2	-1	-1	1	1	1	-2	2	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	1	$i \sqrt{3}$	$- i \sqrt{3}$	-2	2	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	1	-1	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	−ζ¹⁴−ζ²⁶−ζ³⁴	ζ²²+ζ²⁶+ζ³⁴	ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶+ζ³⁴	−ζ²²−ζ²⁶−ζ³⁴	−ζ¹⁴+ζ²²	0	0	0	0	0
χ₂₂	2	2	-1	2	2	-1	2	-1	-1	-1	-1	2	-1	-1	2	2	2	2	2	2	2	2	0	2	0	0	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	2	-1	-1	0	0
χ₂₃	2	2	-1	2	2	-1	2	-1	-1	-1	-1	2	-1	-1	2	2	2	2	2	2	2	2	0	2	0	0	-1	-1	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0	0	-2	1	1	0	0
χ₂₄	2	2	-1	2	-2	-1	2	1	1	-1	-1	-2	1	1	-2	2	2	2	2	2	2	2	0	-2	0	0	1	-1	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	1	1	1	-1	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₂₅	2	2	-1	2	-2	-1	2	1	1	-1	-1	-2	1	1	-2	2	2	2	2	2	2	2	0	-2	0	0	1	-1	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	1	1	1	-1	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₂₆	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	3	-1	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	-1	-1	-1	-1	1
χ₂₇	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	3	-1	3	3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	-1
χ₂₈	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	-3	-1	-3	-3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	-1	-1	-1	1	-1
χ₂₉	3	3	3	3	3	3	3	3	3	3	3	3	3	3	-1	-1	0	0	0	0	0	0	-3	-1	-3	-3	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	-1	-1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	-1	1
χ₃₀	4	4	-2	4	4	-2	4	-2	-2	-2	-2	4	-2	-2	4	4	-2	-2	-2	-2	-2	-2	0	4	0	0	-2	-2	4	1	1	1	1	1	1	-2	-2	-2	1	1	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-2	4	-4	-2	4	2	2	-2	-2	-4	2	2	-4	4	-2	-2	-2	-2	-2	-2	0	-4	0	0	2	-2	4	1	1	1	1	1	1	2	2	2	-1	-1	-1	-1	-1	-1	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-2	-2	4	-2	-2	-2	-2	1	1	-2	1	1	4	4	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	-2	0	0	-2	-2	-2	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	4	-2	-2	4	-2	-2	-2	-2	1	1	-2	1	1	4	4	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	-2	0	0	-2	-2	-2	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	4	4	-2	-2	4	-2	-2	-2	-2	1	1	-2	1	1	4	4	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	-2	0	0	-2	-2	-2	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	ζ¹⁴+ζ²²	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	4	-2	-2	-4	-2	-2	2	2	1	1	2	-1	-1	-4	4	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	2	0	0	2	-2	-2	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	-2	-2	-4	-2	-2	2	2	1	1	2	-1	-1	-4	4	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	2	0	0	2	-2	-2	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	-2	-2	-4	-2	-2	2	2	1	1	2	-1	-1	-4	4	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	2	0	0	2	-2	-2	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²²	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	4	4	0	-4	-4	0	0	4	-4	0	0	0	0	0	-2	-2	-2	2	2	2	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	2	-2	0	0	2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	-4	4	4	0	-4	-4	0	0	4	-4	0	0	0	0	0	-2	-2	-2	2	2	2	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	-2	2	0	0	-2	2	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	-2	4	0	2	-4	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-2	2	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	2	-2	0	0	$- 1 + \sqrt{3}$	$1 - \sqrt{3}$	$- 1 - \sqrt{3}$	$1 + \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	-2	4	0	2	-4	$2 \sqrt{3}$	$- 2 \sqrt{3}$	-2	2	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	-2	2	0	0	$1 - \sqrt{3}$	$- 1 + \sqrt{3}$	$1 + \sqrt{3}$	$- 1 - \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	-2	4	0	2	-4	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-2	2	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	2	-2	0	0	$- 1 - \sqrt{3}$	$1 + \sqrt{3}$	$- 1 + \sqrt{3}$	$1 - \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	-2	4	0	2	-4	$- 2 \sqrt{3}$	$2 \sqrt{3}$	-2	2	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	-2	-2	-2	2	2	2	0	0	0	0	0	0	0	1	1	1	-1	-1	-1	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	-2	2	0	0	$1 + \sqrt{3}$	$- 1 - \sqrt{3}$	$1 - \sqrt{3}$	$- 1 + \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	6	-6	6	6	-6	-6	6	6	-6	-6	-6	2	-2	0	0	0	0	0	0	0	2	0	0	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	6	-3	6	6	-3	6	6	-3	-3	-3	-3	-3	-2	-2	0	0	0	0	0	0	6	1	-3	-3	-2	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-2	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	6	-3	6	6	-3	6	6	-3	-3	-3	-3	-3	-2	-2	0	0	0	0	0	0	-6	1	3	3	-2	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	2	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	6	6	-3	-6	6	-3	-6	-6	-3	-3	3	3	3	2	-2	0	0	0	0	0	0	0	-1	$- 3 i \sqrt{3}$	$3 i \sqrt{3}$	2	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	6	6	-3	-6	6	-3	-6	-6	-3	-3	3	3	3	2	-2	0	0	0	0	0	0	0	-1	$3 i \sqrt{3}$	$- 3 i \sqrt{3}$	2	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	6	6	-3	6	6	-3	6	-3	-3	-3	-3	6	-3	-3	-2	-2	0	0	0	0	0	0	0	-2	0	0	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	2	2	0	0	-1	-1	-1	-1	0	0	0	0	0	0	-2	1	1	0	0
χ₅₀	6	6	-3	6	6	-3	6	-3	-3	-3	-3	6	-3	-3	-2	-2	0	0	0	0	0	0	0	-2	0	0	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	0	-2	-2	0	0	1	1	1	1	0	0	0	0	0	0	2	-1	-1	0	0
χ₅₁	6	6	-3	6	-6	-3	6	3	3	-3	-3	-6	3	3	2	-2	0	0	0	0	0	0	0	2	0	0	-1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	0	0	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₅₂	6	6	-3	6	-6	-3	6	3	3	-3	-3	-6	3	3	2	-2	0	0	0	0	0	0	0	2	0	0	-1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	1	0	0	0	0	0	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₅₃	8	-8	8	8	0	-8	-8	0	0	8	-8	0	0	0	0	0	2	2	2	-2	-2	-2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	8	-4	0	-8	4	0	0	-4	4	0	0	0	0	0	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	8	-8	8	-4	0	-8	4	0	0	-4	4	0	0	0	0	0	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	8	-8	8	-4	0	-8	4	0	0	-4	4	0	0	0	0	0	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	8	-8	-4	8	0	4	-8	$4 \sqrt{3}$	$- 4 \sqrt{3}$	-4	4	0	$4 \sqrt{3}$	$- 4 \sqrt{3}$	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	8	-8	-4	8	0	4	-8	$- 4 \sqrt{3}$	$4 \sqrt{3}$	-4	4	0	$- 4 \sqrt{3}$	$4 \sqrt{3}$	0	0	2	2	2	-2	-2	-2	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	8	-8	-4	-4	0	4	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	2	-2	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	−ζ⁷−2ζ²³+ζ³¹−ζ³⁵	ζ⁷+2ζ²³−ζ³¹+ζ³⁵	2ζ⁷+ζ²³+ζ³¹+2ζ³⁵	−2ζ⁷−ζ²³−ζ³¹−2ζ³⁵	−ζ⁷+ζ²³−2ζ³¹−ζ³⁵	ζ⁷−ζ²³+2ζ³¹+ζ³⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	8	-8	-4	-4	0	4	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	2	-2	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	−ζ⁷+ζ²³−2ζ³¹−ζ³⁵	ζ⁷−ζ²³+2ζ³¹+ζ³⁵	−ζ⁷−2ζ²³+ζ³¹−ζ³⁵	ζ⁷+2ζ²³−ζ³¹+ζ³⁵	2ζ⁷+ζ²³+ζ³¹+2ζ³⁵	−2ζ⁷−ζ²³−ζ³¹−2ζ³⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	8	-8	-4	-4	0	4	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	2	-2	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	2ζ⁷+ζ²³+ζ³¹+2ζ³⁵	−2ζ⁷−ζ²³−ζ³¹−2ζ³⁵	−ζ⁷+ζ²³−2ζ³¹−ζ³⁵	ζ⁷−ζ²³+2ζ³¹+ζ³⁵	−ζ⁷−2ζ²³+ζ³¹−ζ³⁵	ζ⁷+2ζ²³−ζ³¹+ζ³⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	8	-8	-4	-4	0	4	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	2	-2	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	0	0	0	0	0	0	0	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	ζ⁷+2ζ²³−ζ³¹+ζ³⁵	−ζ⁷−2ζ²³+ζ³¹−ζ³⁵	−2ζ⁷−ζ²³−ζ³¹−2ζ³⁵	2ζ⁷+ζ²³+ζ³¹+2ζ³⁵	ζ⁷−ζ²³+2ζ³¹+ζ³⁵	−ζ⁷+ζ²³−2ζ³¹−ζ³⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	8	-8	-4	-4	0	4	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	2	-2	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	2ζ¹⁴+2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	−2ζ¹⁴−2ζ²²	0	0	0	0	0	0	0	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	ζ⁷−ζ²³+2ζ³¹+ζ³⁵	−ζ⁷+ζ²³−2ζ³¹−ζ³⁵	ζ⁷+2ζ²³−ζ³¹+ζ³⁵	−ζ⁷−2ζ²³+ζ³¹−ζ³⁵	−2ζ⁷−ζ²³−ζ³¹−2ζ³⁵	2ζ⁷+ζ²³+ζ³¹+2ζ³⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	8	-8	-4	-4	0	4	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	2	-2	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	2ζ¹⁴+2ζ²²	−2ζ¹⁴−2ζ²⁶+2ζ³⁴	−2ζ²²+2ζ²⁶−2ζ³⁴	−2ζ¹⁴−2ζ²²	2ζ¹⁴+2ζ²⁶−2ζ³⁴	2ζ²²−2ζ²⁶+2ζ³⁴	0	0	0	0	0	0	0	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	−2ζ⁷−ζ²³−ζ³¹−2ζ³⁵	2ζ⁷+ζ²³+ζ³¹+2ζ³⁵	ζ⁷−ζ²³+2ζ³¹+ζ³⁵	−ζ⁷+ζ²³−2ζ³¹−ζ³⁵	ζ⁷+2ζ²³−ζ³¹+ζ³⁵	−ζ⁷−2ζ²³+ζ³¹−ζ³⁵	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	12	12	-6	-6	12	-6	-6	-6	-6	3	3	-6	3	3	-4	-4	0	0	0	0	0	0	0	2	0	0	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	12	12	-6	-6	-12	-6	-6	6	6	3	3	6	-3	-3	4	-4	0	0	0	0	0	0	0	-2	0	0	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #13146366