四十二角形
x = α 3 + 2 α + 8 3 − ( 15 α + 46 ) 2 ( 2 α + 8 ) 3 2 + i 189 ( α + 3 ) 2 ( 2 α + 8 ) 3 2 3 + 2 α + 8 3 − ( 15 α + 46 ) 2 ( 2 α + 8 ) 3 2 − i 189 ( α + 3 ) 2 ( 2 α + 8 ) 3 2 3 x = α 3 + 1 6 − 4 ( 15 α + 46 ) + i ⋅ 4 189 ( α + 3 ) 3 + 1 6 − 4 ( 15 α + 46 ) − i ⋅ 4 189 ( α + 3 ) 3 {\displaystyle {\begin{aligned}&x={\frac {\alpha }{3}}+{\frac {\sqrt {2\alpha +8}}{3}}{\sqrt[{3}]{{\frac {-(15\alpha +46)}{2({2\alpha +8})^{\frac {3}{2}}}}+i{\frac {\sqrt {189(\alpha +3)}}{2({2\alpha +8})^{\frac {3}{2}}}}}}+{\frac {\sqrt {2\alpha +8}}{3}}{\sqrt[{3}]{{\frac {-(15\alpha +46)}{2({2\alpha +8})^{\frac {3}{2}}}}-i{\frac {\sqrt {189(\alpha +3)}}{2({2\alpha +8})^{\frac {3}{2}}}}}}\\&x={\frac {\alpha }{3}}+{\frac {1}{6}}{\sqrt[{3}]{{-4(15\alpha +46)}+i\cdot 4{\sqrt {189(\alpha +3)}}}}+{\frac {1}{6}}{\sqrt[{3}]{-4(15\alpha +46)-i\cdot 4{\sqrt {189(\alpha +3)}}}}\end{aligned}}}