Group #11744676 — 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
size	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20	1	12	12	15	20
order	1	5	5	2	3	5	5	5	10	15	5	5	5	10	15	5	5	5	10	15	5	5	5	10	15	3	15	15	6	3	15	15	15	30	15	15	15	15	30	15	15	15	15	30	15	15	15	15	30	15	3	15	15	6	3	15	15	15	30	15	15	15	15	30	15	15	15	15	30	15	15	15	15	30	15
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
χ₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0
χ₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0
χ₄	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1
χ₅	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1
χ₆	1	1	1	1	1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	1	1	1	1	1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	1	1	1	1	1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷
χ₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0
χ₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0
χ₉	4	-1	-1	0	1	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	4	-1	-1	0	1	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	4	-1	-1	0	1	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷
χ₁₀	5	0	0	1	-1	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	5	0	0	1	-1	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	5	0	0	1	-1	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷
χ₁₁	1	1	1	1	1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	1	1	1	1	1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	1	1	1	1	1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴
χ₁₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0
χ₁₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0
χ₁₄	4	-1	-1	0	1	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	4	-1	-1	0	1	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	4	-1	-1	0	1	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴
χ₁₅	5	0	0	1	-1	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	5	0	0	1	-1	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	5	0	0	1	-1	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴
χ₁₆	1	1	1	1	1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	1	1	1	1	1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	1	1	1	1	1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹
χ₁₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0
χ₁₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0
χ₁₉	4	-1	-1	0	1	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	4	-1	-1	0	1	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	4	-1	-1	0	1	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹
χ₂₀	5	0	0	1	-1	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	5	0	0	1	-1	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	5	0	0	1	-1	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹
χ₂₁	1	1	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	1	1	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	1	1	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³
χ₂₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0
χ₂₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0
χ₂₄	4	-1	-1	0	1	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	4	-1	-1	0	1	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	4	-1	-1	0	1	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³
χ₂₅	5	0	0	1	-1	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	5	0	0	1	-1	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	5	0	0	1	-1	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³
χ₂₆	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₂₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0
χ₂₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0
χ₂₉	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃₀	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₃₁	1	1	1	1	1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ²	ζ²	ζ²	ζ²	ζ²	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ	ζ	ζ	ζ	ζ	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷
χ₃₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0
χ₃₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0
χ₃₄	4	-1	-1	0	1	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	4ζ²	−ζ²	−ζ²	0	ζ²	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	4ζ	−ζ	−ζ	0	ζ	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷
χ₃₅	5	0	0	1	-1	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ⁸	0	0	ζ⁸	−ζ⁸	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	5ζ²	0	0	ζ²	−ζ²	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ¹³	0	0	ζ¹³	−ζ¹³	5ζ	0	0	ζ	−ζ	5ζ⁴	0	0	ζ⁴	−ζ⁴	5ζ⁷	0	0	ζ⁷	−ζ⁷
χ₃₆	1	1	1	1	1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ²	ζ²	ζ²	ζ²	ζ²	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ	ζ	ζ	ζ	ζ	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴
χ₃₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0
χ₃₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0
χ₃₉	4	-1	-1	0	1	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	4ζ²	−ζ²	−ζ²	0	ζ²	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ	−ζ	−ζ	0	ζ	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴
χ₄₀	5	0	0	1	-1	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	5ζ²	0	0	ζ²	−ζ²	5ζ⁸	0	0	ζ⁸	−ζ⁸	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ	0	0	ζ	−ζ	5ζ⁷	0	0	ζ⁷	−ζ⁷	5ζ¹³	0	0	ζ¹³	−ζ¹³	5ζ⁴	0	0	ζ⁴	−ζ⁴
χ₄₁	1	1	1	1	1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ²	ζ²	ζ²	ζ²	ζ²	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ	ζ	ζ	ζ	ζ
χ₄₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0
χ₄₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0
χ₄₄	4	-1	-1	0	1	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	4ζ²	−ζ²	−ζ²	0	ζ²	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	4ζ	−ζ	−ζ	0	ζ
χ₄₅	5	0	0	1	-1	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	5ζ⁸	0	0	ζ⁸	−ζ⁸	5ζ²	0	0	ζ²	−ζ²	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ⁴	0	0	ζ⁴	−ζ⁴	5ζ¹³	0	0	ζ¹³	−ζ¹³	5ζ⁷	0	0	ζ⁷	−ζ⁷	5ζ	0	0	ζ	−ζ
χ₄₆	1	1	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²	ζ²	ζ²	ζ²	ζ²	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ	ζ	ζ	ζ	ζ	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³
χ₄₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0
χ₄₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0
χ₄₉	4	-1	-1	0	1	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ²	−ζ²	−ζ²	0	ζ²	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	4ζ	−ζ	−ζ	0	ζ	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³
χ₅₀	5	0	0	1	-1	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ²	0	0	ζ²	−ζ²	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	5ζ⁸	0	0	ζ⁸	−ζ⁸	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ⁷	0	0	ζ⁷	−ζ⁷	5ζ⁴	0	0	ζ⁴	−ζ⁴	5ζ	0	0	ζ	−ζ	5ζ¹³	0	0	ζ¹³	−ζ¹³
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	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₅₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0
χ₅₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0
χ₅₄	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	4	-1	-1	0	1	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$
χ₅₅	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	5	0	0	1	-1	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₅₆	1	1	1	1	1	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ	ζ	ζ	ζ	ζ	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ²	ζ²	ζ²	ζ²	ζ²
χ₅₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0
χ₅₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0
χ₅₉	4	-1	-1	0	1	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	4ζ	−ζ	−ζ	0	ζ	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	4ζ²	−ζ²	−ζ²	0	ζ²
χ₆₀	5	0	0	1	-1	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ¹³	0	0	ζ¹³	−ζ¹³	5ζ	0	0	ζ	−ζ	5ζ⁴	0	0	ζ⁴	−ζ⁴	5ζ⁷	0	0	ζ⁷	−ζ⁷	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ⁸	0	0	ζ⁸	−ζ⁸	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	5ζ²	0	0	ζ²	−ζ²
χ₆₁	1	1	1	1	1	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ	ζ	ζ	ζ	ζ	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ²	ζ²	ζ²	ζ²	ζ²	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴
χ₆₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0
χ₆₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0
χ₆₄	4	-1	-1	0	1	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ	−ζ	−ζ	0	ζ	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	4ζ²	−ζ²	−ζ²	0	ζ²	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴
χ₆₅	5	0	0	1	-1	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ	0	0	ζ	−ζ	5ζ⁷	0	0	ζ⁷	−ζ⁷	5ζ¹³	0	0	ζ¹³	−ζ¹³	5ζ⁴	0	0	ζ⁴	−ζ⁴	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	5ζ²	0	0	ζ²	−ζ²	5ζ⁸	0	0	ζ⁸	−ζ⁸	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴
χ₆₆	1	1	1	1	1	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ	ζ	ζ	ζ	ζ	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ²	ζ²	ζ²	ζ²	ζ²	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹
χ₆₇	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0
χ₆₈	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0
χ₆₉	4	-1	-1	0	1	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	4ζ	−ζ	−ζ	0	ζ	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸	4ζ²	−ζ²	−ζ²	0	ζ²	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹
χ₇₀	5	0	0	1	-1	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ⁴	0	0	ζ⁴	−ζ⁴	5ζ¹³	0	0	ζ¹³	−ζ¹³	5ζ⁷	0	0	ζ⁷	−ζ⁷	5ζ	0	0	ζ	−ζ	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	5ζ⁸	0	0	ζ⁸	−ζ⁸	5ζ²	0	0	ζ²	−ζ²	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹
χ₇₁	1	1	1	1	1	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ²−ζ⁷	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ⁴−ζ¹⁴	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ−ζ¹¹	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	−ζ⁸−ζ¹³	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁷	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ⁴	ζ	ζ	ζ	ζ	ζ	ζ¹³	ζ¹³	ζ¹³	ζ¹³	ζ¹³	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	ζ²	ζ²	ζ²	ζ²	ζ²	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹⁴	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ¹¹	ζ⁸	ζ⁸	ζ⁸	ζ⁸	ζ⁸
χ₇₂	3	$\frac{1 - \sqrt{5}}{2}$	$\frac{1 + \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ+ζ⁸+ζ¹¹+ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ²+ζ⁴+ζ⁷+ζ¹⁴	ζ⁸+ζ¹³	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ⁷−ζ¹³	−ζ−ζ⁴	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁷	ζ+ζ⁷+ζ¹³	−ζ−ζ¹³	−ζ⁷	0	3ζ⁴	−ζ−ζ⁷	ζ+ζ⁴+ζ⁷	−ζ⁴	0	3ζ	−ζ⁴−ζ¹³	ζ+ζ⁴+ζ¹³	−ζ	0	3ζ¹³	ζ⁴+ζ⁷+ζ¹³	−ζ⁴−ζ⁷	−ζ¹³	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ²−ζ⁸	−ζ¹¹−ζ¹⁴	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ²	ζ²+ζ⁸+ζ¹¹	−ζ⁸−ζ¹¹	−ζ²	0	3ζ¹⁴	−ζ²−ζ¹¹	ζ²+ζ¹¹+ζ¹⁴	−ζ¹⁴	0	3ζ¹¹	−ζ⁸−ζ¹⁴	ζ⁸+ζ¹¹+ζ¹⁴	−ζ¹¹	0	3ζ⁸	ζ²+ζ⁸+ζ¹⁴	−ζ²−ζ¹⁴	−ζ⁸	0
χ₇₃	3	$\frac{1 + \sqrt{5}}{2}$	$\frac{1 - \sqrt{5}}{2}$	-1	0	−3ζ²−3ζ⁷	ζ+ζ⁸+ζ¹¹+ζ¹³	−ζ−ζ²−ζ⁷−ζ⁸−ζ¹¹−ζ¹³	ζ²+ζ⁷	0	−3ζ⁴−3ζ¹⁴	−ζ−ζ²−ζ⁴−ζ⁷−ζ¹¹−ζ¹⁴	ζ+ζ²+ζ⁷+ζ¹¹	ζ⁴+ζ¹⁴	0	−3ζ−3ζ¹¹	−ζ−ζ⁴−ζ⁸−ζ¹¹−ζ¹³−ζ¹⁴	ζ⁴+ζ⁸+ζ¹³+ζ¹⁴	ζ+ζ¹¹	0	−3ζ⁸−3ζ¹³	ζ²+ζ⁴+ζ⁷+ζ¹⁴	−ζ²−ζ⁴−ζ⁷−ζ⁸−ζ¹³−ζ¹⁴	ζ⁸+ζ¹³	0	$\frac{- 3 - 3 i \sqrt{3}}{2}$	−ζ−ζ⁴	−ζ⁷−ζ¹³	$\frac{1 + i \sqrt{3}}{2}$	0	3ζ⁷	−ζ−ζ¹³	ζ+ζ⁷+ζ¹³	−ζ⁷	0	3ζ⁴	ζ+ζ⁴+ζ⁷	−ζ−ζ⁷	−ζ⁴	0	3ζ	ζ+ζ⁴+ζ¹³	−ζ⁴−ζ¹³	−ζ	0	3ζ¹³	−ζ⁴−ζ⁷	ζ⁴+ζ⁷+ζ¹³	−ζ¹³	0	$\frac{- 3 + 3 i \sqrt{3}}{2}$	−ζ¹¹−ζ¹⁴	−ζ²−ζ⁸	$\frac{1 - i \sqrt{3}}{2}$	0	3ζ²	−ζ⁸−ζ¹¹	ζ²+ζ⁸+ζ¹¹	−ζ²	0	3ζ¹⁴	ζ²+ζ¹¹+ζ¹⁴	−ζ²−ζ¹¹	−ζ¹⁴	0	3ζ¹¹	ζ⁸+ζ¹¹+ζ¹⁴	−ζ⁸−ζ¹⁴	−ζ¹¹	0	3ζ⁸	−ζ²−ζ¹⁴	ζ²+ζ⁸+ζ¹⁴	−ζ⁸	0
χ₇₄	4	-1	-1	0	1	−4ζ²−4ζ⁷	ζ²+ζ⁷	ζ²+ζ⁷	0	−ζ²−ζ⁷	−4ζ⁴−4ζ¹⁴	ζ⁴+ζ¹⁴	ζ⁴+ζ¹⁴	0	−ζ⁴−ζ¹⁴	−4ζ−4ζ¹¹	ζ+ζ¹¹	ζ+ζ¹¹	0	−ζ−ζ¹¹	−4ζ⁸−4ζ¹³	ζ⁸+ζ¹³	ζ⁸+ζ¹³	0	−ζ⁸−ζ¹³	$- 2 - 2 i \sqrt{3}$	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	0	$\frac{- 1 - i \sqrt{3}}{2}$	4ζ⁷	−ζ⁷	−ζ⁷	0	ζ⁷	4ζ⁴	−ζ⁴	−ζ⁴	0	ζ⁴	4ζ	−ζ	−ζ	0	ζ	4ζ¹³	−ζ¹³	−ζ¹³	0	ζ¹³	$- 2 + 2 i \sqrt{3}$	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	0	$\frac{- 1 + i \sqrt{3}}{2}$	4ζ²	−ζ²	−ζ²	0	ζ²	4ζ¹⁴	−ζ¹⁴	−ζ¹⁴	0	ζ¹⁴	4ζ¹¹	−ζ¹¹	−ζ¹¹	0	ζ¹¹	4ζ⁸	−ζ⁸	−ζ⁸	0	ζ⁸
χ₇₅	5	0	0	1	-1	−5ζ²−5ζ⁷	0	0	−ζ²−ζ⁷	ζ²+ζ⁷	−5ζ⁴−5ζ¹⁴	0	0	−ζ⁴−ζ¹⁴	ζ⁴+ζ¹⁴	−5ζ−5ζ¹¹	0	0	−ζ−ζ¹¹	ζ+ζ¹¹	−5ζ⁸−5ζ¹³	0	0	−ζ⁸−ζ¹³	ζ⁸+ζ¹³	$\frac{- 5 - 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	5ζ⁷	0	0	ζ⁷	−ζ⁷	5ζ⁴	0	0	ζ⁴	−ζ⁴	5ζ	0	0	ζ	−ζ	5ζ¹³	0	0	ζ¹³	−ζ¹³	$\frac{- 5 + 5 i \sqrt{3}}{2}$	0	0	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	5ζ²	0	0	ζ²	−ζ²	5ζ¹⁴	0	0	ζ¹⁴	−ζ¹⁴	5ζ¹¹	0	0	ζ¹¹	−ζ¹¹	5ζ⁸	0	0	ζ⁸	−ζ⁸

Character table — Group #11744676