円分多項式
Φ 1 = x − 1 Φ 2 = ( x 2 − 1 ) / Φ 1 = x + 1 Φ 3 = ( x 3 − 1 ) / Φ 1 = x 2 + x + 1 Φ 4 = ( x 4 − 1 ) / Φ 1 Φ 2 = x 2 + 1 Φ 5 = ( x 5 − 1 ) / Φ 1 = x 4 + x 3 + x 2 + x + 1 Φ 6 = ( x 6 − 1 ) / Φ 1 Φ 2 Φ 3 = x 2 − x + 1 Φ 7 = ( x 7 − 1 ) / Φ 1 = x 6 + x 5 + x 4 + x 3 + x 2 + x + 1 Φ 8 = ( x 8 − 1 ) / Φ 1 Φ 2 Φ 4 = x 4 + 1 Φ 9 = ( x 9 − 1 ) / Φ 1 Φ 3 = x 6 + x 3 + 1 Φ 10 = ( x 10 − 1 ) / Φ 1 Φ 2 Φ 5 = x 4 − x 3 + x 2 − x + 1 Φ 11 = ( x 11 − 1 ) / Φ 1 = x 10 + x 9 + x 8 + x 7 + x 6 + x 5 + x 4 + x 3 + x 2 + x + 1 Φ 12 = ( x 12 − 1 ) / Φ 1 Φ 2 Φ 3 Φ 4 Φ 6 = x 4 − x 2 + 1 {\displaystyle {\begin{aligned}\Phi _{1}&=x-1\\\Phi _{2}&=(x^{2}-1)/\Phi _{1}&&=x+1\\\Phi _{3}&=(x^{3}-1)/\Phi _{1}&&=x^{2}+x+1\\\Phi _{4}&=(x^{4}-1)/\Phi _{1}\Phi _{2}&&=x^{2}+1\\\Phi _{5}&=(x^{5}-1)/\Phi _{1}&&=x^{4}+x^{3}+x^{2}+x+1\\\Phi _{6}&=(x^{6}-1)/\Phi _{1}\Phi _{2}\Phi _{3}&&=x^{2}-x+1\\\Phi _{7}&=(x^{7}-1)/\Phi _{1}&&=x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1\\\Phi _{8}&=(x^{8}-1)/\Phi _{1}\Phi _{2}\Phi _{4}&&=x^{4}+1\\\Phi _{9}&=(x^{9}-1)/\Phi _{1}\Phi _{3}&&=x^{6}+x^{3}+1\\\Phi _{10}&=(x^{10}-1)/\Phi _{1}\Phi _{2}\Phi _{5}&&=x^{4}-x^{3}+x^{2}-x+1\\\Phi _{11}&=(x^{11}-1)/\Phi _{1}&&=x^{10}+x^{9}+x^{8}+x^{7}+x^{6}+x^{5}+x^{4}+x^{3}+x^{2}+x+1\\\Phi _{12}&=(x^{12}-1)/\Phi _{1}\Phi _{2}\Phi _{3}\Phi _{4}\Phi _{6}&&=x^{4}-x^{2}+1\\\end{aligned}}}