257-угольник. Косинус центр. угла. Выражение в радикалах.

[Vvp_57]

Привожу формулу косинуса центрального угла 257-угольника,
поскольку рекомендованное Legioner93 выражение
в сообщении довольно громоздко из-за массы скобок:
$\cos\left(\frac{2\pi }{257} \right)=\frac{-1}{256}+\frac{1}{256}\sqrt{257}+\frac{1}{256}\tau_{1}+\frac{1}{64}\delta_{1}+\frac{1}{32}\gamma_{1}+\frac{1}{16}\rho_{1}+\frac{1}{8}\sigma_{1}+$

$+\frac{1}{4}\sqrt{\frac{257}{64}-\frac{1}{64}\sqrt{257}-\frac{1}{64}\tau_{1}-\frac{1}{16}\delta_{1}+\frac{3}{8}\gamma_{1}-\frac{1}{4}\rho_{1}-\frac{1}{2}\rho_{9}+\frac{1}{2}\sigma_{17}-\sigma_{25}}$

Где:
$\tau_{1}=\sqrt{514-2\sqrt{257}}=21.9530763..$
$\tau_{2}=\sqrt{514+2\sqrt{257}}=23.3679789..$
и
$\delta_{1}=\sqrt{\frac{257}{4}+\frac{15}{4}\sqrt{257}+\frac{7}{4}\tau_{1}+2\tau_{2}}=14.474837..$
$\delta_{2}=\sqrt{\frac{257}{4}-\frac{15}{4}\sqrt{257}+\frac{7}{4}\tau_{2}-2\tau_{1}}=1.0586487..$
$\delta_{3}=\sqrt{\frac{257}{4}+\frac{15}{4}\sqrt{257}-\frac{7}{4}\tau_{1}-2\tau_{2}}=6.2620469..$
$\delta_{4}=\sqrt{\frac{257}{4}-\frac{15}{4}\sqrt{257}-\frac{7}{4}\tau_{2}+2\tau_{1}}=2.673035..$
а также:
$\gamma_{1}=\sqrt{\frac{257}{8}-\frac{9}{8}\sqrt{257}+\frac{3}{8}\tau_{1}+\frac{3}{2}\delta_{1}-3\delta_{2}+\delta_{4}}=6.5978501..$

(и еще семь $\gamma_{2},\gamma_{3},.....\gamma_{8}$)

$\gamma_{2}=\sqrt{\frac{257}{8}+\frac{9}{8}\sqrt{257}+\frac{3}{8}\tau_{2}-\frac{3}{2}\delta_{2}+3\delta_{3}+\delta_{1}}=9.5181993..$
$\gamma_{3}=\sqrt{\frac{257}{8}-\frac{9}{8}\sqrt{257}-\frac{3}{8}\tau_{1}+\frac{3}{2}\delta_{3}-3\delta_{4}-\delta_{2}}=2.4845102..$
$\gamma_{4}=\sqrt{\frac{257}{8}+\frac{9}{8}\sqrt{257}-\frac{3}{8}\tau_{2}-\frac{3}{2}\delta_{4}-3\delta_{1}+\delta_{3}}=0.4744601..$
$\gamma_{5}=\sqrt{\frac{257}{8}-\frac{9}{8}\sqrt{257}+\frac{3}{8}\tau_{1}-\frac{3}{2}\delta_{1}+3\delta_{2}-\delta_{4}}=1.0549582..$
$\gamma_{6}=\sqrt{\frac{257}{8}+\frac{9}{8}\sqrt{257}+\frac{3}{8}\tau_{2}+\frac{3}{2}\delta_{2}-3\delta_{3}-\delta_{1}}=5.2201637..$
$\gamma_{7}=\sqrt{\frac{257}{8}-\frac{9}{8}\sqrt{257}-\frac{3}{8}\tau_{1}-\frac{3}{2}\delta_{3}+3\delta_{4}+\delta_{2}}=2.3541787..$
$\gamma_{8}=\sqrt{\frac{257}{8}+\frac{9}{8}\sqrt{257}-\frac{3}{8}\tau_{2}+\frac{3}{2}\delta_{4}+3\delta 1-\delta_{3}}=9.0867567..$

где:
$\rho_{1}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{1}-\frac{1}{4}\tau_{2}+\frac{1}{4}\delta_{1}-\frac{1}{2}\delta_{2}-\frac{1}{2}\delta_{3}+\frac{1}{2}\delta_{4}-\frac{3}{2}\gamma_{1}-\gamma_{3}-\gamma_{6}+\gamma_{8}}=2.4728409..$

(и еще пятнадцать $\rho_{2},\rho_{3},.....\rho_{16}$)

$\rho_{2}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{2}+\frac{1}{4}\tau_{1}-\frac{1}{4}\delta_{2}+\frac{1}{2}\delta_{1}+\frac{1}{2}\delta_{3}+\frac{1}{2}\delta_{4}-\frac{3}{2}\gamma_{2}-\gamma_{1}-\gamma_{4}+\gamma_{7}}=4.402168..$
$\rho_{3}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{1}+\frac{1}{4}\tau_{2}+\frac{1}{4}\delta_{3}+\frac{1}{2}\delta_{1}-\frac{1}{2}\delta_{2}-\frac{1}{2}\delta_{4}-\frac{3}{2}\gamma_{3}-\gamma_{2}-\gamma_{5}-\gamma_{8}}=0.580302..$
$\rho_{4}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{2}-\frac{1}{4}\tau_{1}-\frac{1}{4}\delta_{4}-\frac{1}{2}\delta_{1}-\frac{1}{2}\delta_{2}+\frac{1}{2}\delta_{3}-\frac{3}{2}\gamma_{4}+\gamma_{1}-\gamma_{3}-\gamma_{6}}=0.268689..$
$\rho_{5}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{1}-\frac{1}{4}\tau_{2}-\frac{1}{4}\delta_{1}+\frac{1}{2}\delta_{2}+\frac{1}{2}\delta_{3}-\frac{1}{2}\delta_{4}-\frac{3}{2}\gamma_{5}+\gamma_{2}-\gamma_{4}+\gamma_{7}}=4.674971..$
$\rho_{6}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{2}+\frac{1}{4}\tau_{1}+\frac{1}{4}\delta_{2}-\frac{1}{2}\delta_{1}-\frac{1}{2}\delta_{3}-\frac{1}{2}\delta_{4}-\frac{3}{2}\gamma_{6}+\gamma_{3}-\gamma_{5}-\gamma_{8}}=0.0804277..$
$\rho_{7}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{1}+\frac{1}{4}\tau_{2}-\frac{1}{4}\delta_{3}-\frac{1}{2}\delta_{1}+\frac{1}{2}\delta_{2}+\frac{1}{2}\delta_{4}+\frac{3}{2}\gamma_{7}+\gamma_{1}+\gamma_{4}-\gamma_{6}}=3.902905..$
$\rho_{8}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{2}-\frac{1}{4}\tau_{1}+\frac{1}{4}\delta_{4}+\frac{1}{2}\delta_{1}+\frac{1}{2}\delta_{2}-\frac{1}{2}\delta_{3}-\frac{3}{2}\gamma_{8}+\gamma_{2}+\gamma_{5}+\gamma_{7}}=3.434510..$
$\rho_{9}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{1}-\frac{1}{4}\tau_{2}+\frac{1}{4}\delta_{1}-\frac{1}{2}\delta_{2}-\frac{1}{2}\delta_{3}+\frac{1}{2}\delta_{4}+\frac{3}{2}\gamma_{1}+\gamma_{3}+\gamma_{6}-\gamma_{8}}=4.810855..$
$\rho_{10}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{2}+\frac{1}{4}\tau_{1}-\frac{1}{4}\delta_{2}+\frac{1}{2}\delta_{1}+\frac{1}{2}\delta_{3}+\frac{1}{2}\delta_{4}+\frac{3}{2}\gamma_{2}+\gamma_{1}+\gamma_{4}-\gamma_{7}}=7.574294..$
$\rho_{11}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{1}+\frac{1}{4}\tau_{2}+\frac{1}{4}\delta_{3}+\frac{1}{2}\delta_{1}-\frac{1}{2}\delta_{2}-\frac{1}{2}\delta_{4}+\frac{3}{2}\gamma_{3}+\gamma_{2}+\gamma_{5}+\gamma_{8}}=6.863680..$
$\rho_{12}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{2}-\frac{1}{4}\tau_{1}-\frac{1}{4}\delta_{4}-\frac{1}{2}\delta_{1}-\frac{1}{2}\delta_{2}+\frac{1}{2}\delta_{3}+\frac{3}{2}\gamma_{4}-\gamma_{1}+\gamma_{3}+\gamma_{6}}=1.925933..$
$\rho_{13}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{1}-\frac{1}{4}\tau_{2}-\frac{1}{4}\delta_{1}+\frac{1}{2}\delta_{2}+\frac{1}{2}\delta_{3}-\frac{1}{2}\delta_{4}+\frac{3}{2}\gamma_{5}-\gamma_{2}+\gamma_{4}-\gamma_{7}}=1.491440..$
$\rho_{14}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}+\frac{3}{16}\tau_{2}+\frac{1}{4}\tau_{1}+\frac{1}{4}\delta_{2}-\frac{1}{2}\delta_{1}-\frac{1}{2}\delta_{3}-\frac{1}{2}\delta_{4}+\frac{3}{2}\gamma_{6}-\gamma_{3}+\gamma_{5}+\gamma_{8}}=5.566091..$
$\rho_{15}=\sqrt{\frac{257}{16}-\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{1}+\frac{1}{4}\tau_{2}-\frac{1}{4}\delta_{3}-\frac{1}{2}\delta_{1}+\frac{1}{2}\delta_{2}+\frac{1}{2}\delta_{4}-\frac{3}{2}\gamma_{7}-\gamma_{1}-\gamma_{4}+\gamma_{6}}=2.113253..$
$\rho_{16}=\sqrt{\frac{257}{16}+\frac{1}{16}\sqrt{257}-\frac{3}{16}\tau_{2}-\frac{1}{4}\tau_{1}+\frac{1}{4}\delta_{4}+\frac{1}{2}\delta_{1}+\frac{1}{2}\delta_{2}-\frac{1}{2}\delta_{3}+\frac{3}{2}\gamma_{8}-\gamma_{2}-\gamma_{5}-\gamma_{7}}=3.633381..$

где:
$\sigma_{1}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{1}+\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{1}-\frac{1}{2}\gamma_{2}-\frac{1}{2}\gamma_{8}-\frac{1}{2}\rho_{1}-\rho_{2}-\rho_{8}+\rho_{9}}=1.845660..$

(и еще тридцать одна $\sigma_{2},\sigma_{3},.....\sigma_{32}$)

$\sigma_{2}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{2}-\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{2}+\frac{1}{2}\gamma_{1}-\frac{1}{2}\gamma_{3}-\frac{1}{2}\rho_{2}-\rho_{3}-\rho_{9}+\rho_{10}}=0.890577..$
$\sigma_{3}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{3}+\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{3}+\frac{1}{2}\gamma_{2}-\frac{1}{2}\gamma_{4}-\frac{1}{2}\rho_{3}-\rho_{4}-\rho_{10}-\rho_{11}}=1.290384..$
$\sigma_{4}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{4}+\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{4}+\frac{1}{2}\gamma_{3}-\frac{1}{2}\gamma_{5}-\frac{1}{2}\rho_{4}-\rho_{5}+\rho_{11}+\rho_{12}}=2.821514..$
$\sigma_{5}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{1}-\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{5}+\frac{1}{2}\gamma_{4}-\frac{1}{2}\gamma_{6}-\frac{1}{2}\rho_{5}-\rho_{6}-\rho_{12}-\rho_{13}}=0.3159636..$
$\sigma_{6}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{2}+\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{6}+\frac{1}{2}\gamma_{5}+\frac{1}{2}\gamma_{7}-\frac{1}{2}\rho_{6}+\rho_{7}+\rho_{13}+\rho_{14}}=4.859643..$
$\sigma_{7}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{3}-\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{7}+\frac{1}{2}\gamma_{6}-\frac{1}{2}\gamma_{8}+\frac{1}{2}\rho_{7}+\rho_{8}-\rho_{14}+\rho_{15}}=2.605218..$
$\sigma_{8}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{4}-\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{8}+\frac{1}{2}\gamma_{1}-\frac{1}{2}\gamma_{7}+\frac{1}{2}\rho_{8}+\rho_{9}-\rho_{15}-\rho_{16}}=1.383649..$
$\sigma_{9}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{1}+\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{1}+\frac{1}{2}\gamma_{2}+\frac{1}{2}\gamma_{8}+\frac{1}{2}\rho_{9}+\rho_{1}+\rho_{10}+\rho_{16}}=6.757109..$
$\sigma_{10}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{2}-\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{2}-\frac{1}{2}\gamma_{1}+\frac{1}{2}\gamma_{3}+\frac{1}{2}\rho_{10}-\rho_{1}+\rho_{2}-\rho_{11}}=0.556442..$
$\sigma_{11}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{3}+\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{3}-\frac{1}{2}\gamma_{2}+\frac{1}{2}\gamma_{4}-\frac{1}{2}\rho_{11}-\rho_{2}+\rho_{3}+\rho_{12}}=1.87953..$
$\sigma_{12}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{4}+\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{4}-\frac{1}{2}\gamma_{3}+\frac{1}{2}\gamma_{5}+\frac{1}{2}\rho_{12}-\rho_{3}+\rho_{4}-\rho_{13}}=1.395791..$
$\sigma_{13}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{1}-\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{5}-\frac{1}{2}\gamma_{4}+\frac{1}{2}\gamma_{6}-\frac{1}{2}\rho_{13}-\rho_{4}+\rho_{5}+\rho_{14}}=4.520504..$
$\sigma_{14}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{2}+\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{6}-\frac{1}{2}\gamma_{5}-\frac{1}{2}\gamma_{7}+\frac{1}{2}\rho_{14}-\rho_{5}+\rho_{6}+\rho_{15}}=3.492650$
$\sigma_{15}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{3}-\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{7}-\frac{1}{2}\gamma_{6}+\frac{1}{2}\gamma_{8}+\frac{1}{2}\rho_{15}-\rho_{6}-\rho_{7}-\rho_{16}}=0.991692..$
$\sigma_{16}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{4}-\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{8}-\frac{1}{2}\gamma_{1}+\frac{1}{2}\gamma_{7}-\frac{1}{2}\rho_{16}+\rho_{1}+\rho_{7}-\rho_{8}}=1.599143..$
$\sigma_{17}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{1}+\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{1}-\frac{1}{2}\gamma_{2}-\frac{1}{2}\gamma_{8}+\frac{1}{2}\rho_{1}+\rho_{2}+\rho_{8}-\rho_{9}}=3.454120..$
$\sigma_{18}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{2}-\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{2}+\frac{1}{2}\gamma_{1}-\frac{1}{2}\gamma_{3}+\frac{1}{2}\rho_{2}+\rho_{3}+\rho_{9}-\rho_{10}}=0.9105058..$
$\sigma_{19}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{3}+\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{3}+\frac{1}{2}\gamma_{2}-\frac{1}{2}\gamma_{4}+\frac{1}{2}\rho_{3}+\rho_{4}+\rho_{10}+\rho_{11}}=5.626608..$
$\sigma_{20}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{4}+\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{4}+\frac{1}{2}\gamma_{3}-\frac{1}{2}\gamma_{5}+\frac{1}{2}\rho_{4}+\rho_{5}-\rho_{11}-\rho_{12}}=0.0185636..$
$\sigma_{21}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{1}-\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{5}+\frac{1}{2}\gamma_{4}-\frac{1}{2}\gamma_{6}+\frac{1}{2}\rho_{5}+\rho_{6}+\rho_{12}+\rho_{13}}=3.430803..$
$\sigma_{22}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{2}+\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{6}+\frac{1}{2}\gamma_{5}+\frac{1}{2}\gamma_{7}+\frac{1}{2}\rho_{6}-\rho_{7}-\rho_{13}-\rho_{14}}=1.332549..$
$\sigma_{23}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{3}-\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{7}+\frac{1}{2}\gamma_{6}-\frac{1}{2}\gamma_{8}-\frac{1}{2}\rho_{7}-\rho_{8}-\rho_{14}-\rho_{15}}=1.7090677..$
$\sigma_{24}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{4}-\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}-\frac{1}{4}\gamma_{8}+\frac{1}{2}\gamma_{1}-\frac{1}{2}\gamma_{7}-\frac{1}{2}\rho_{8}-\rho_{9}+\rho_{15}+\rho_{16}}=0.592902..$
$\sigma_{25}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{1}+\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{1}+\frac{1}{2}\gamma_{2}+\frac{1}{2}\gamma_{8}-\frac{1}{2}\rho_{9}-\rho_{1}-\rho_{10}-\rho_{16}}=3.672416..$
$\sigma_{26}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{2}-\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{2}-\frac{1}{2}\gamma_{1}+\frac{1}{2}\gamma_{3}-\frac{1}{2}\rho_{10}+\rho_{1}-\rho_{2}+\rho_{11}}=1.613703..$
$\sigma_{27}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}+\frac{3}{8}\delta_{3}+\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{3}-\frac{1}{2}\gamma_{2}+\frac{1}{2}\gamma_{4}+\frac{1}{2}\rho_{11}+\rho_{2}-\rho_{3}-\rho_{12}}=3.766722..$
$\sigma_{28}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}-\frac{3}{8}\delta_{4}+\frac{1}{4}\delta_{1}-\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{4}-\frac{1}{2}\gamma_{3}+\frac{1}{2}\gamma_{5}-\frac{1}{2}\rho_{12}+\rho_{3}-\rho_{4}+\rho_{13}}=1.904838..$
$\sigma_{29}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{1}-\frac{1}{4}\delta_{2}+\frac{1}{4}\delta_{4}+\frac{1}{4}\gamma_{5}-\frac{1}{2}\gamma_{4}+\frac{1}{2}\gamma_{6}+\frac{1}{2}\rho_{13}+\rho_{4}-\rho_{5}-\rho_{14}}=1.407711..$
$\sigma_{30}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}+\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{2}+\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{6}-\frac{1}{2}\gamma_{5}-\frac{1}{2}\gamma_{7}-\frac{1}{2}\rho_{14}+\rho_{5}-\rho_{6}-\rho_{15}}=3.405157..$
$\sigma_{31}=\sqrt{\frac{257}{32}+\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{1}-\frac{3}{8}\delta_{3}-\frac{1}{4}\delta_{2}-\frac{1}{4}\delta_{4}-\frac{1}{4}\gamma_{7}-\frac{1}{2}\gamma_{6}+\frac{1}{2}\gamma_{8}-\frac{1}{2}\rho_{15}+\rho_{6}+\rho_{7}+\rho_{16}}=3.755479..$
$\sigma_{32}=\sqrt{\frac{257}{32}-\frac{7}{32}\sqrt{257}-\frac{3}{32}\tau_{2}+\frac{3}{8}\delta_{4}-\frac{1}{4}\delta_{1}+\frac{1}{4}\delta_{3}+\frac{1}{4}\gamma_{8}-\frac{1}{2}\gamma_{1}+\frac{1}{2}\gamma_{7}+\frac{1}{2}\rho_{16}-\rho_{1}-\rho_{7}+\rho_{8}}=0.555132..$

[AKM]

Тема перемещена из форума «Математика (общие вопросы)» в форум «Карантин»
по следующим причинам: неправильно оформлены индексы у переменных.


Исправьте все Ваши ошибки и сообщите об этом в теме Сообщение в карантине исправлено.
Настоятельно рекомендуется ознакомиться с темами Что такое карантин и что нужно делать, чтобы там оказаться и Правила научного форума.

[Toucan]

Тема перемещена из форума «Карантин» в форум «Математика (общие вопросы)»