Hidden Label: "r" exponent left parenthesis, 2 pi StartFraction, "k" Over "n" , EndFraction "i" times "f" plus "q" "i" StartFraction, 2 pi Over "n" , EndFraction , right parenthesis for "f" equals left bracket, 1... StartFraction, lcm left parenthesis, "n" , "k" , right parenthesis Over "k" , EndFraction plus 1 , right bracket , "q" equals left bracket, 0... StartFraction, "n" Over "m" , EndFraction minus 1 , right bracketrexp2πkni·f+qi2πnforf=1...lcmn,kk+1,q=0...nm−1
Label
equals=
negative 0.5 plus 0.8 6 6 "i"−0.5+0.866i
negative 0.5 minus 0.8 6 6 "i"−0.5−0.866i
11
negative 0.5 plus 0.8 6 6 "i"−0.5+0.866i
negative 0.9 3 9 7 plus 0.3 4 2 "i"−0.9397+0.342i
0.1 7 3 6 minus 0.9 8 4 8 "i"0.1736−0.9848i
0.7 6 6 plus 0.6 4 2 8 "i"0.766+0.6428i
negative 0.9 3 9 7 plus 0.3 4 2 "i"−0.9397+0.342i
negative 0.9 3 9 7 minus 0.3 4 2 "i"−0.9397−0.342i
0.7 6 6 minus 0.6 4 2 8 "i"0.766−0.6428i
0.1 7 3 6 plus 0.9 8 4 8 "i"0.1736+0.9848i
negative 0.9 3 9 7 minus 0.3 4 2 "i"−0.9397−0.342i
4
Expression 5: "m" equals StartFraction, lcm left parenthesis, "n" , "k" , right parenthesis Over "k" , EndFractionm=lcmn,kk
equals=
33
5
Expression 6: StartFraction, "n" Over "m" , EndFractionnm