$ jq -n -f complex.jq
"x =      [1,1]"
"y =      [0,1]"
"x+y:     [1,2]"
"x*y:     [-1,1]"
"-x:      [-1,-1]"
"1/x:     [0.5,-0.5]"
"conj(x): [1,-1]"
"(x/y)*y: [1,1]"
"e^iπ:    [-1,1.2246467991473532e-16]"