formula

x^{11} = 1

ω_{1} = \frac{-1 + \sqrt{5} + \sqrt{10 + 2 \sqrt{5}} i}{4}

ω_{2} = \frac{-1 - \sqrt{5} + \sqrt{10 - 2 \sqrt{5}} i}{4}

ω_{3} = \frac{-1 - \sqrt{5} - \sqrt{10 - 2 \sqrt{5}} i}{4}

ω_{4} = \frac{-1 + \sqrt{5} - \sqrt{10 + 2 \sqrt{5}} i}{4}

A_{1} = \frac{-979 + 275 \sqrt{5} + 55 \sqrt{410 + 178 \sqrt{5}} i}{4}

A_{2} = \frac{-979 - 275 \sqrt{5} - 55 \sqrt{410 - 178 \sqrt{5}} i}{4}

A_{3} = \frac{-979 - 275 \sqrt{5} + 55 \sqrt{410 - 178 \sqrt{5}} i}{4}

A_{4} = \frac{-979 + 275 \sqrt{5} - 55 \sqrt{410 + 178 \sqrt{5}} i}{4}

B_{1} = \frac{109 \sqrt{11} - 25 \sqrt{55} + 5 \sqrt{96470 + 2398 \sqrt{5}} i}{4}

B_{2} = \frac{109 \sqrt{11} + 25 \sqrt{55} + 5 \sqrt{96470 - 2398 \sqrt{5}} i}{4}

B_{3} = \frac{109 \sqrt{11} + 25 \sqrt{55} - 5 \sqrt{96470 - 2398 \sqrt{5}} i}{4}

B_{4} = \frac{109 \sqrt{11} - 25 \sqrt{55} - 5 \sqrt{96470 + 2398 \sqrt{5}} i}{4}

x_{0} = 1

x_{1} = \frac{-1 + \sqrt[5]{A_{1}} + ω_{3} \sqrt[5]{A_{2}} + ω_{2} \sqrt[5]{A_{3}} + \sqrt[5]{A_{4}} + (\sqrt{11} + ω_{1} \sqrt[5]{B_{1}} + \sqrt[5]{B_{2}} + \sqrt[5]{B_{3}} + ω_{4} \sqrt[5]{B_{4}}) i}{10}

x_{2} = \frac{-1 + \sqrt[5]{A_{1}} + ω_{3} \sqrt[5]{A_{2}} + ω_{2} \sqrt[5]{A_{3}} + \sqrt[5]{A_{4}} - (\sqrt{11} + ω_{1} \sqrt[5]{B_{1}} + \sqrt[5]{B_{2}} + \sqrt[5]{B_{3}} + ω_{4} \sqrt[5]{B_{4}}) i}{10}

x_{3} = \frac{-1 + ω_{1} \sqrt[5]{A_{1}} + \sqrt[5]{A_{2}} + \sqrt[5]{A_{3}} + ω_{4} \sqrt[5]{A_{4}} + (\sqrt{11} + ω_{2} \sqrt[5]{B_{1}} + ω_{2} \sqrt[5]{B_{2}} + ω_{3} \sqrt[5]{B_{3}} + ω_{3} \sqrt[5]{B_{4}}) i}{10}

x_{4} = \frac{-1 + ω_{1} \sqrt[5]{A_{1}} + \sqrt[5]{A_{2}} + \sqrt[5]{A_{3}} + ω_{4} \sqrt[5]{A_{4}} - (\sqrt{11} + ω_{2} \sqrt[5]{B_{1}} + ω_{2} \sqrt[5]{B_{2}} + ω_{3} \sqrt[5]{B_{3}} + ω_{3} \sqrt[5]{B_{4}}) i}{10}

x_{5} = \frac{-1 + ω_{2} \sqrt[5]{A_{1}} + ω_{2} \sqrt[5]{A_{2}} + ω_{3} \sqrt[5]{A_{3}} + ω_{3} \sqrt[5]{A_{4}} + (\sqrt{11} + ω_{3} \sqrt[5]{B_{1}} + ω_{4} \sqrt[5]{B_{2}} + ω_{1} \sqrt[5]{B_{3}} + ω_{2} \sqrt[5]{B_{4}}) i}{10}

x_{6} = \frac{-1 + ω_{2} \sqrt[5]{A_{1}} + ω_{2} \sqrt[5]{A_{2}} + ω_{3} \sqrt[5]{A_{3}} + ω_{3} \sqrt[5]{A_{4}} - (\sqrt{11} + ω_{3} \sqrt[5]{B_{1}} + ω_{4} \sqrt[5]{B_{2}} + ω_{1} \sqrt[5]{B_{3}} + ω_{2} \sqrt[5]{B_{4}}) i}{10}

x_{7} = \frac{-1 + ω_{3} \sqrt[5]{A_{1}} + ω_{4} \sqrt[5]{A_{2}} + ω_{1} \sqrt[5]{A_{3}} + ω_{2} \sqrt[5]{A_{4}} + (\sqrt{11} + ω_{4} \sqrt[5]{B_{1}} + ω_{1} \sqrt[5]{B_{2}} + ω_{4} \sqrt[5]{B_{3}} + ω_{1} \sqrt[5]{B_{4}}) i}{10}

x_{8} = \frac{-1 + ω_{3} \sqrt[5]{A_{1}} + ω_{4} \sqrt[5]{A_{2}} + ω_{1} \sqrt[5]{A_{3}} + ω_{2} \sqrt[5]{A_{4}} - (\sqrt{11} + ω_{4} \sqrt[5]{B_{1}} + ω_{1} \sqrt[5]{B_{2}} + ω_{4} \sqrt[5]{B_{3}} + ω_{1} \sqrt[5]{B_{4}}) i}{10}

x_{9} = \frac{-1 + ω_{4} \sqrt[5]{A_{1}} + ω_{1} \sqrt[5]{A_{2}} + ω_{4} \sqrt[5]{A_{3}} + ω_{1} \sqrt[5]{A_{4}} + (\sqrt{11} + \sqrt[5]{B_{1}} + ω_{3} \sqrt[5]{B_{2}} + ω_{2} \sqrt[5]{B_{3}} + \sqrt[5]{B_{4}}) i}{10}

x_{10} = \frac{-1 + ω_{4} \sqrt[5]{A_{1}} + ω_{1} \sqrt[5]{A_{2}} + ω_{4} \sqrt[5]{A_{3}} + ω_{1} \sqrt[5]{A_{4}} - (\sqrt{11} + \sqrt[5]{B_{1}} + ω_{3} \sqrt[5]{B_{2}} + ω_{2} \sqrt[5]{B_{3}} + \sqrt[5]{B_{4}}) i}{10}

作业增量能源重置 YY重置