Group #13048782 — 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
size	1	1	2	2	2	2	2	2	2	2	6	6	6	6	12	12	12	12	12	12	12	12	12	12	18	18	18	18	18	18	18	18	18	54	54	54	54	54	54	1	1	2	2	2	2	2	2	2	2	6	6	6	6	12	12	12	12	12	12	12	12	12	12	18	18	18	18	18	18	18	18	18	54	54	54	54	54	54
order	1	2	3	6	9	9	9	18	18	18	3	3	6	6	3	6	9	9	9	9	18	18	18	18	4	12	12	36	36	36	36	36	36	4	4	12	12	12	12	2	2	6	6	18	18	18	18	18	18	6	6	6	6	6	6	18	18	18	18	18	18	18	18	4	12	12	36	36	36	36	36	36	4	4	12	12	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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₆	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1
χ₇	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₈	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0
χ₉	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₀	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0
χ₁₁	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	0	0	0	0	0	0	0	0	2	-2	2	-2	2	2	2	-2	-2	-2	2	2	-2	-2	2	-2	2	2	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₂	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$
χ₁₃	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$
χ₁₄	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₁₅	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₆	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	-1	-1	-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	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	-1	-1	-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
χ₁₇	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	-1	-1	-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	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	-1	-1	-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
χ₁₈	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	4	4	4	4	-2	-2	-2	-2	-2	-2	4	-2	4	-2	-2	-2	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	-2	-2	-2	-2	-2	4	-2	4	-2	-2	-2	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	4	-2	4	-2	-2	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	4	-2	4	-2	-2	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	4	-4	4	-4	4	4	4	-4	-4	-4	-2	-2	2	2	1	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	4	4	4	-4	-4	-4	-2	-2	2	2	1	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	-4	4	-4	-2	-2	-2	2	2	2	4	-2	-4	2	-2	2	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	-2	-2	2	2	2	4	-2	-4	2	-2	2	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	-4	4	-4	-2	-2	-2	2	2	2	-2	4	2	-4	-2	2	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	-2	-2	2	2	2	-2	4	2	-4	-2	2	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	1	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	1	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	1	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	1	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0	0	0	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0	0	0
χ₂₉	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0	0	0	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0	0	0
χ₃₀	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0
χ₃₁	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0
χ₃₂	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	0	0	0	0	0	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	0	0	0	0	0
χ₃₃	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	0	0	0	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	0	0	0
χ₃₄	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	0	0	0	0	0	0	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	0	0	0	0	0	0
χ₃₅	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0	0	0	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0	0	0
χ₃₆	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0	0	0	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0	0	0
χ₃₇	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0	0	0	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0	0	0
χ₃₈	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	0	0	0	0	0	0	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	0	0	0	0	0	0
χ₃₉	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	0	0	0	0	0	0	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	0	0	0	0	0	0
χ₄₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₄₁	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1
χ₄₂	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	-1	1	-1	-1	1	1
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
χ₄₄	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	1	1	1	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1
χ₄₅	2	2	2	2	2	2	2	2	2	2	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-2	0	0	1	1	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	1	1	1	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	2	0	0	-1	-1
χ₄₆	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	1	-2	1	1	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0
χ₄₇	2	2	2	2	2	2	2	2	2	2	-1	2	-1	2	-1	-1	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	-2	0	1	1	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	-2	1	-2	1	1	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	2	0	-1	-1	0	0
χ₄₈	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-2	-2	-2	-2	1	1	1	1	1	1	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0
χ₄₉	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	-2	-2	-2	-2	1	1	1	1	1	1	-2	-2	-2	-2	-2	-2	1	1	1	1	1	1	1	1	2	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₅₀	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	0	0	0	0	0	0	0	0	-2	2	-2	2	-2	-2	-2	2	2	2	-2	-2	2	2	-2	2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	-2	2	-2	2	-2	-2	-2	2	2	2	-2	1	2	-1	1	-1	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$
χ₅₂	2	-2	2	-2	2	2	2	-2	-2	-2	2	-1	-2	1	-1	1	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	-2	2	-2	2	-2	-2	-2	2	2	2	-2	1	2	-1	1	-1	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$
χ₅₃	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0	-2	2	-2	2	-2	-2	-2	2	2	2	1	-2	-1	2	1	-1	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₅₄	2	-2	2	-2	2	2	2	-2	-2	-2	-1	2	1	-2	-1	1	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	0	0	-2	2	-2	2	-2	-2	-2	2	2	2	1	-2	-1	2	1	-1	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₅₅	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	-1	-1	-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	-2	2	-2	2	1	1	1	-1	-1	-1	-2	-2	2	2	-2	2	1	1	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
χ₅₆	2	-2	2	-2	-1	-1	-1	1	1	1	2	2	-2	-2	2	-2	-1	-1	-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	-2	2	-2	2	1	1	1	-1	-1	-1	-2	-2	2	2	-2	2	1	1	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
χ₅₇	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	-2	1	1	-2	-2	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	-4	-4	-4	-4	-4	-4	2	2	2	2	-1	-1	2	2	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₈	4	4	4	4	-2	-2	-2	-2	-2	-2	4	-2	4	-2	-2	-2	-2	1	1	1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	2	2	2	2	2	-4	2	-4	2	2	2	2	-1	-1	-1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	4	-2	4	-2	-2	1	-2	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	2	2	2	2	2	2	-4	2	-4	2	2	-1	2	-1	-1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	-4	-4	-4	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	4	-4	4	-4	4	4	4	-4	-4	-4	-2	-2	2	2	1	-1	-2	-2	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	-4	-4	-4	4	4	4	2	2	-2	-2	-1	1	2	2	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	4	-4	4	-4	-2	-2	-2	2	2	2	4	-2	-4	2	-2	2	-2	1	1	1	2	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	2	2	-2	-2	-2	-4	2	4	-2	2	-2	2	-1	-1	-1	-2	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	4	-4	4	-4	-2	-2	-2	2	2	2	-2	4	2	-4	-2	2	1	-2	1	1	-1	2	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	2	2	-2	-2	-2	2	-4	-2	4	2	-2	-1	2	-1	-1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	1	-1	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	2	2	-2	-2	-2	2	2	-2	-2	-1	1	-1	-1	$\frac{1 + 3 i \sqrt{3}}{2}$	$\frac{1 - 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 - 3 i \sqrt{3}}{2}$	$\frac{- 1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	4	-4	4	-4	-2	-2	-2	2	2	2	-2	-2	2	2	1	-1	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	-4	4	2	2	2	-2	-2	-2	2	2	-2	-2	-1	1	-1	-1	$\frac{1 - 3 i \sqrt{3}}{2}$	$\frac{1 + 3 i \sqrt{3}}{2}$	1	1	$\frac{- 1 + 3 i \sqrt{3}}{2}$	$\frac{- 1 - 3 i \sqrt{3}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0	0	0	-6	-6	3	3	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0	0	0
χ₆₈	6	6	-3	-3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	0	0	0	0	0	0	-6	-6	3	3	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	0	0	0	0	0	0
χ₆₉	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0	-6	-6	3	3	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0
χ₇₀	6	6	-3	-3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	0	0	0	0	0	0	-6	-6	3	3	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	0	0	0	0	0	0
χ₇₁	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	0	0	0	0	0	-6	-6	3	3	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	0	0	0
χ₇₂	6	6	-3	-3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	−ζ¹⁴−ζ²⁶+ζ³⁴	−ζ²²+ζ²⁶−ζ³⁴	ζ¹⁴+ζ²²	0	0	0	0	0	0	-6	-6	3	3	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	ζ¹⁴+ζ²⁶−ζ³⁴	ζ²²−ζ²⁶+ζ³⁴	−ζ¹⁴−ζ²²	0	0	0	0	0	0
χ₇₃	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	0	0	0	0	0	0	-6	6	3	-3	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0	0	0
χ₇₄	6	-6	-3	3	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	0	0	0	0	0	0	-6	6	3	-3	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	0	0	0	0	0	0
χ₇₅	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0	0	0	-6	6	3	-3	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0	0	0
χ₇₆	6	-6	-3	3	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	0	0	0	0	0	0	-6	6	3	-3	3ζ¹⁴+3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	−3ζ¹⁴−3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	ζ²³−ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	−ζ²³+ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	0	0	0	0	0	0
χ₇₇	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	0	0	0	0	0	0	-6	6	3	-3	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	0	0	0	0	0	0
χ₇₈	6	-6	-3	3	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{3}$	$\sqrt{3}$	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	0	0	0	0	0	0	-6	6	3	-3	−3ζ¹⁴−3ζ²⁶+3ζ³⁴	−3ζ²²+3ζ²⁶−3ζ³⁴	3ζ¹⁴+3ζ²²	3ζ¹⁴+3ζ²⁶−3ζ³⁴	3ζ²²−3ζ²⁶+3ζ³⁴	−3ζ¹⁴−3ζ²²	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{3}$	$- \sqrt{3}$	−ζ⁷−ζ²³−ζ³⁵	ζ⁷+ζ³¹+ζ³⁵	ζ²³−ζ³¹	ζ⁷+ζ²³+ζ³⁵	−ζ⁷−ζ³¹−ζ³⁵	−ζ²³+ζ³¹	0	0	0	0	0	0

Character table — Group #13048782