sage: n=7 sage: [RR(sin(i)) for i in [0,pi/n,..,2pi]] [0.000000000000000, 0.433883739117558, 0.781831482468030, 0.974927912181824, 0.974927912181824, 0.781831482468030, 0.433883739117558, 0.000000000000000, 0.433883739117558, 0.781831482468030, 0.974927912181824, 0.974927912181824, 0.781831482468030, 0.433883739117558, 0.000000000000000] sage: [sin(RR(i)) for i in [0,pi/n,..,2pi]] [0.000000000000000, 0.433883739117558, 0.781831482468030, 0.974927912181824, 0.974927912181824, 0.781831482468030, 0.433883739117558, 1.22464679914735e-16, -0.433883739117558, -0.781831482468030, -0.974927912181824, -0.974927912181824, -0.781831482468030, -0.433883739117558, -2.44929359829471e-16]