Functions of Number Theory - 27.9 Quadratic Characters

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
27.9.E1	${\displaystyle{\displaystyle(-1|p)=(-1)^{(p-1)/2}}}$ \Legendresym{-1}{p} = (-1)^{(p-1)/2}		LegendreSymbol(- 1, p) = (- 1)^((p - 1)/2)	Error	Failure	Missing Macro Error	Error	-
27.9.E2	${\displaystyle{\displaystyle(2|p)=(-1)^{(p^{2}-1)/8}}}$ \Legendresym{2}{p} = (-1)^{(p^{2}-1)/8}		LegendreSymbol(2, p) = (- 1)^(((p)^(2)- 1)/8)	Error	Failure	Missing Macro Error	Error	-
27.9.E3	${\displaystyle{\displaystyle(p|q)(q|p)=(-1)^{(p-1)(q-1)/4}}}$ \Legendresym{p}{q}\Legendresym{q}{p} = (-1)^{(p-1)(q-1)/4}		LegendreSymbol(p, q)*LegendreSymbol(q, p) = (- 1)^((p - 1)*(q - 1)/4)	Error	Failure	Missing Macro Error	Error	-