___________ ___________ ___________
/ ___ / ___\ / ___ / ___ / ___\
/ 5 \/ 5 /pi\ /pi\ / pi\ /2*pi\ /3*pi\ /3*pi\ /3*pi\ /4*pi\ /7*pi\ /7*pi\ /9*pi\ /9*pi\ /11*pi\ /13*pi\ /17*pi\ /19*pi\ ___ |1 \/ 5 | ___ / 5 \/ 5 ___ / 5 \/ 5 ___ |1 \/ 5 |
/ - + ----- cos|--| cos|--| cos|---| cos|----| cos|----| cos|----| cos|----| cos|----| cos|----| cos|----| cos|----| cos|----| cos|-----| cos|-----| cos|-----| cos|-----| \/ 2 *|- - -----| \/ 2 * / - - ----- \/ 2 * / - + ----- \/ 2 *|- + -----|
\/ 8 8 \25/ \50/ \100/ \ 25 / \ 25 / \ 50 / \100 / \ 25 / \ 50 / \100 / \ 50 / \100 / \ 100 / \ 100 / \ 100 / \ 100 / \4 4 / \/ 8 8 \/ 8 8 \4 4 /
---------------- + ------- + ------- + -------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + ---------- + ---------- + ---------- + ---------- - ----------------- + ---------------------- + ---------------------- + -----------------
29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 29 58 58 58 58
$$- \frac{\sqrt{2} \left(\frac{1}{4} - \frac{\sqrt{5}}{4}\right)}{58} + \frac{\sqrt{2} \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}}{58} + \frac{\sqrt{2} \left(\frac{1}{4} + \frac{\sqrt{5}}{4}\right)}{58} + \frac{\sqrt{2} \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{58} + \frac{\cos{\left(\frac{19 \pi}{100} \right)}}{29} + \frac{\cos{\left(\frac{9 \pi}{50} \right)}}{29} + \frac{\cos{\left(\frac{17 \pi}{100} \right)}}{29} + \frac{\cos{\left(\frac{4 \pi}{25} \right)}}{29} + \frac{\cos{\left(\frac{7 \pi}{50} \right)}}{29} + \frac{\cos{\left(\frac{13 \pi}{100} \right)}}{29} + \frac{\cos{\left(\frac{3 \pi}{25} \right)}}{29} + \frac{\cos{\left(\frac{11 \pi}{100} \right)}}{29} + \frac{\sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}}{29} + \frac{\cos{\left(\frac{9 \pi}{100} \right)}}{29} + \frac{\cos{\left(\frac{2 \pi}{25} \right)}}{29} + \frac{\cos{\left(\frac{7 \pi}{100} \right)}}{29} + \frac{\cos{\left(\frac{3 \pi}{50} \right)}}{29} + \frac{\cos{\left(\frac{\pi}{25} \right)}}{29} + \frac{\cos{\left(\frac{3 \pi}{100} \right)}}{29} + \frac{\cos{\left(\frac{\pi}{50} \right)}}{29} + \frac{\cos{\left(\frac{\pi}{100} \right)}}{29}$$
sqrt(5/8 + sqrt(5)/8)/29 + cos(pi/25)/29 + cos(pi/50)/29 + cos(pi/100)/29 + cos(2*pi/25)/29 + cos(3*pi/25)/29 + cos(3*pi/50)/29 + cos(3*pi/100)/29 + cos(4*pi/25)/29 + cos(7*pi/50)/29 + cos(7*pi/100)/29 + cos(9*pi/50)/29 + cos(9*pi/100)/29 + cos(11*pi/100)/29 + cos(13*pi/100)/29 + cos(17*pi/100)/29 + cos(19*pi/100)/29 - sqrt(2)*(1/4 - sqrt(5)/4)/58 + sqrt(2)*sqrt(5/8 - sqrt(5)/8)/58 + sqrt(2)*sqrt(5/8 + sqrt(5)/8)/58 + sqrt(2)*(1/4 + sqrt(5)/4)/58