/ ___\ / ____\ / ____\ / ____\ / ____\ / ____\ / ____\ / ____\ / ____\ / ____\ / _____\ / _____\ / _____\ / ___\ / ____\ / ____\ / ____\ / ___\ / ____\ / ___\
|\/ 5 | |\/ 10 | |\/ 15 | |\/ 30 | |\/ 35 | |\/ 55 | |\/ 65 | |\/ 70 | |\/ 85 | |\/ 95 | |\/ 105 | |\/ 110 | |\/ 115 | |2*\/ 5 | |2*\/ 10 | |2*\/ 15 | |2*\/ 30 | |3*\/ 5 | |3*\/ 10 | |4*\/ 5 |
/ ___\ / ___\ / ___\ sin|-----| sin|------| sin|------| sin|------| sin|------| sin|------| sin|------| sin|------| sin|------| sin|------| sin|-------| sin|-------| sin|-------| sin|-------| sin|--------| sin|--------| sin|--------| sin|-------| sin|--------| sin|-------|
sin(1) sin(2) sin\\/ 2 / sin\\/ 3 / sin\\/ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 / \ 5 /
------ + ------ + ---------- + ---------- + ---------- + ---------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ----------- + ------------ + ------------ + ------------ + ------------ + ------------- + ------------- + ------------- + ------------ + ------------- + ------------
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
$$\frac{\sin{\left(\frac{\sqrt{5}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{10}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{15}}{5} \right)}}{5} + \frac{\sin{\left(\frac{2 \sqrt{5}}{5} \right)}}{5} + \frac{\sin{\left(\sqrt{5} \right)}}{5} + \frac{\sin{\left(\frac{2 \sqrt{30}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{115}}{5} \right)}}{5} + \frac{\sin{\left(1 \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{110}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{105}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{30}}{5} \right)}}{5} + \frac{\sin{\left(2 \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{35}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{95}}{5} \right)}}{5} + \frac{\sin{\left(\frac{3 \sqrt{10}}{5} \right)}}{5} + \frac{\sin{\left(\frac{2 \sqrt{10}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{85}}{5} \right)}}{5} + \frac{\sin{\left(\frac{3 \sqrt{5}}{5} \right)}}{5} + \frac{\sin{\left(\frac{4 \sqrt{5}}{5} \right)}}{5} + \frac{\sin{\left(\sqrt{3} \right)}}{5} + \frac{\sin{\left(\sqrt{2} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{70}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{55}}{5} \right)}}{5} + \frac{\sin{\left(\frac{\sqrt{65}}{5} \right)}}{5} + \frac{\sin{\left(\frac{2 \sqrt{15}}{5} \right)}}{5}$$
sin(1)/5 + sin(2)/5 + sin(sqrt(2))/5 + sin(sqrt(3))/5 + sin(sqrt(5))/5 + sin(sqrt(5)/5)/5 + sin(sqrt(10)/5)/5 + sin(sqrt(15)/5)/5 + sin(sqrt(30)/5)/5 + sin(sqrt(35)/5)/5 + sin(sqrt(55)/5)/5 + sin(sqrt(65)/5)/5 + sin(sqrt(70)/5)/5 + sin(sqrt(85)/5)/5 + sin(sqrt(95)/5)/5 + sin(sqrt(105)/5)/5 + sin(sqrt(110)/5)/5 + sin(sqrt(115)/5)/5 + sin(2*sqrt(5)/5)/5 + sin(2*sqrt(10)/5)/5 + sin(2*sqrt(15)/5)/5 + sin(2*sqrt(30)/5)/5 + sin(3*sqrt(5)/5)/5 + sin(3*sqrt(10)/5)/5 + sin(4*sqrt(5)/5)/5