Group #6576 — 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
size	1	3	3	3	3	3	3	19	19	1	3	3	3	3	3	3	19	19	1	3	3	3	3	3	3	19	19	1	3	3	3	3	3	3	19	19
order	1	19	19	19	19	19	19	3	3	4	76	76	76	76	76	76	12	12	2	38	38	38	38	38	38	6	6	4	76	76	76	76	76	76	12	12
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
χ₂	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$
χ₃	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$
χ₄	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0
χ₅	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0
χ₆	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0
χ₇	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0
χ₈	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0
χ₉	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0
χ₁₀	1	1	1	1	1	1	1	1	1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$
χ₁₁	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	ζ⁷+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁸⁷+ζ¹⁹⁹+ζ²¹¹+ζ²²³	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ¹⁰⁷+ζ¹¹⁹+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³+ζ²¹⁵+ζ²²⁷	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	−ζ⁷−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁸⁷−ζ¹⁹⁹−ζ²¹¹−ζ²²³	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ¹⁰⁷−ζ¹¹⁹−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³−ζ²¹⁵−ζ²²⁷
χ₁₂	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ¹⁰⁷+ζ¹¹⁹+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³+ζ²¹⁵+ζ²²⁷	ζ⁷+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁸⁷+ζ¹⁹⁹+ζ²¹¹+ζ²²³	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ¹⁰⁷−ζ¹¹⁹−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³−ζ²¹⁵−ζ²²⁷	−ζ⁷−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁸⁷−ζ¹⁹⁹−ζ²¹¹−ζ²²³
χ₁₃	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	$3 i$	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	0	0	-3	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	0	0	$- 3 i$	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	0	0
χ₁₄	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	$3 i$	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	0	0	-3	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	0	0	$- 3 i$	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	0	0
χ₁₅	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	$3 i$	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	0	0	-3	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	0	0	$- 3 i$	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	0	0
χ₁₆	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	$3 i$	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	0	0	-3	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	0	0	$- 3 i$	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	0	0
χ₁₇	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	$3 i$	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	0	0	-3	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	0	0	$- 3 i$	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	0	0
χ₁₈	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	$3 i$	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	0	0	-3	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	0	0	$- 3 i$	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₀	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$
χ₂₁	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$
χ₂₂	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	-3	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	0	0	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	-3	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	0	0
χ₂₃	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	-3	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	0	0	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	-3	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	0	0
χ₂₄	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	-3	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	0	0	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	-3	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	0	0
χ₂₅	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	-3	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	0	0	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	-3	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	0	0
χ₂₆	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	-3	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	0	0	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	-3	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	0	0
χ₂₇	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	-3	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	0	0	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	-3	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	0	0
χ₂₈	1	1	1	1	1	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	$i$
χ₂₉	1	1	1	1	1	1	1	$\frac{- 1 + i \sqrt{3}}{2}$	$\frac{- 1 - i \sqrt{3}}{2}$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	−ζ⁷−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁸⁷−ζ¹⁹⁹−ζ²¹¹−ζ²²³	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ¹⁰⁷−ζ¹¹⁹−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³−ζ²¹⁵−ζ²²⁷	-1	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{3}}{2}$	$\frac{1 + i \sqrt{3}}{2}$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	ζ⁷+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁸⁷+ζ¹⁹⁹+ζ²¹¹+ζ²²³	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ¹⁰⁷+ζ¹¹⁹+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³+ζ²¹⁵+ζ²²⁷
χ₃₀	1	1	1	1	1	1	1	$\frac{- 1 - i \sqrt{3}}{2}$	$\frac{- 1 + i \sqrt{3}}{2}$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	−ζ¹¹−ζ²³−ζ³⁵−ζ⁴⁷−ζ⁵⁹−ζ⁷¹−ζ⁸³−ζ¹⁰⁷−ζ¹¹⁹−ζ¹³¹−ζ¹⁴³−ζ¹⁵⁵−ζ¹⁶⁷−ζ¹⁷⁹−ζ¹⁹¹−ζ²⁰³−ζ²¹⁵−ζ²²⁷	−ζ⁷−ζ³¹−ζ⁴³−ζ⁵⁵−ζ⁶⁷−ζ⁷⁹−ζ⁹¹−ζ¹⁰³−ζ¹¹⁵−ζ¹²⁷−ζ¹³⁹−ζ¹⁵¹−ζ¹⁶³−ζ¹⁷⁵−ζ¹⁸⁷−ζ¹⁹⁹−ζ²¹¹−ζ²²³	-1	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{3}}{2}$	$\frac{1 - i \sqrt{3}}{2}$	$i$	$i$	$i$	$i$	$i$	$i$	$i$	ζ¹¹+ζ²³+ζ³⁵+ζ⁴⁷+ζ⁵⁹+ζ⁷¹+ζ⁸³+ζ¹⁰⁷+ζ¹¹⁹+ζ¹³¹+ζ¹⁴³+ζ¹⁵⁵+ζ¹⁶⁷+ζ¹⁷⁹+ζ¹⁹¹+ζ²⁰³+ζ²¹⁵+ζ²²⁷	ζ⁷+ζ³¹+ζ⁴³+ζ⁵⁵+ζ⁶⁷+ζ⁷⁹+ζ⁹¹+ζ¹⁰³+ζ¹¹⁵+ζ¹²⁷+ζ¹³⁹+ζ¹⁵¹+ζ¹⁶³+ζ¹⁷⁵+ζ¹⁸⁷+ζ¹⁹⁹+ζ²¹¹+ζ²²³
χ₃₁	3	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	0	0	$- 3 i$	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	0	0	-3	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	0	0	$3 i$	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	0	0
χ₃₂	3	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	0	0	$- 3 i$	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	0	0	-3	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	0	0	$3 i$	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	0	0
χ₃₃	3	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	0	0	$- 3 i$	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	0	0	-3	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	0	0	$3 i$	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	0	0
χ₃₄	3	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	0	0	$- 3 i$	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	0	0	-3	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	0	0	$3 i$	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	0	0
χ₃₅	3	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	0	0	$- 3 i$	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	0	0	-3	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	0	0	$3 i$	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	0	0
χ₃₆	3	ζ²⁶+ζ⁵⁸+ζ¹⁰⁶+ζ¹³⁴+ζ¹⁷⁸+ζ¹⁸²	ζ⁸²+ζ¹¹⁸+ζ¹⁴²+ζ¹⁵⁸+ζ¹⁹⁴+ζ²¹⁸	ζ²+ζ¹⁴+ζ²²+ζ⁹⁸+ζ¹⁵⁴+ζ¹⁶⁶	ζ¹⁰+ζ³⁴+ζ⁷⁰+ζ⁸⁶+ζ¹¹⁰+ζ¹⁴⁶	ζ⁶²+ζ⁷⁴+ζ¹³⁰+ζ²⁰⁶+ζ²¹⁴+ζ²²⁶	ζ⁴⁶+ζ⁵⁰+ζ⁹⁴+ζ¹²²+ζ¹⁷⁰+ζ²⁰²	0	0	$- 3 i$	−ζ⁷−ζ¹¹−ζ⁸³−ζ¹¹⁵−ζ¹⁶³−ζ¹⁹¹	−ζ²³−ζ⁴⁷−ζ¹³⁹−ζ¹⁷⁵−ζ¹⁹⁹−ζ²¹⁵	−ζ⁵⁹−ζ⁷¹−ζ⁷⁹−ζ¹⁵⁵−ζ²¹¹−ζ²²³	−ζ⁶⁷−ζ⁹¹−ζ¹²⁷−ζ¹⁴³−ζ¹⁶⁷−ζ²⁰³	−ζ³⁵−ζ⁴³−ζ⁵⁵−ζ¹¹⁹−ζ¹³¹−ζ¹⁸⁷	−ζ³¹−ζ¹⁰³−ζ¹⁰⁷−ζ¹⁵¹−ζ¹⁷⁹−ζ²²⁷	0	0	-3	−ζ²⁶−ζ⁵⁸−ζ¹⁰⁶−ζ¹³⁴−ζ¹⁷⁸−ζ¹⁸²	−ζ⁸²−ζ¹¹⁸−ζ¹⁴²−ζ¹⁵⁸−ζ¹⁹⁴−ζ²¹⁸	−ζ²−ζ¹⁴−ζ²²−ζ⁹⁸−ζ¹⁵⁴−ζ¹⁶⁶	−ζ¹⁰−ζ³⁴−ζ⁷⁰−ζ⁸⁶−ζ¹¹⁰−ζ¹⁴⁶	−ζ⁶²−ζ⁷⁴−ζ¹³⁰−ζ²⁰⁶−ζ²¹⁴−ζ²²⁶	−ζ⁴⁶−ζ⁵⁰−ζ⁹⁴−ζ¹²²−ζ¹⁷⁰−ζ²⁰²	0	0	$3 i$	ζ⁷+ζ¹¹+ζ⁸³+ζ¹¹⁵+ζ¹⁶³+ζ¹⁹¹	ζ²³+ζ⁴⁷+ζ¹³⁹+ζ¹⁷⁵+ζ¹⁹⁹+ζ²¹⁵	ζ⁵⁹+ζ⁷¹+ζ⁷⁹+ζ¹⁵⁵+ζ²¹¹+ζ²²³	ζ⁶⁷+ζ⁹¹+ζ¹²⁷+ζ¹⁴³+ζ¹⁶⁷+ζ²⁰³	ζ³⁵+ζ⁴³+ζ⁵⁵+ζ¹¹⁹+ζ¹³¹+ζ¹⁸⁷	ζ³¹+ζ¹⁰³+ζ¹⁰⁷+ζ¹⁵¹+ζ¹⁷⁹+ζ²²⁷	0	0

Here ζ is a primitive root of unity of order 228 (ζ²²⁸ = 1); i = ζ⁵⁷.

Character table — Group #6576