Consider the vector field F$($x$,$y$)=($y$,$x$).$ We can state that throughout its domain of definition the field is:

A$)$ Conservative and non$-$solenoid.

B$)$None of the other alternatives.

C$)$Solenoid and non$-$conservative.

D$)$Conservative and solenoid.

E$)$Irrotational and non$-$solenoid.