Сумма и произведение корней
[src] / / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\
| | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 |||
| | 3 ___ 2 *|- - + -------||| | | 3 ___ 2 *|- - + -------||| | | 3 ___ 2 *|- - - -------||| | | 3 ___ 2 *|- - - -------||| / 3 ___ 2/3\ | | 3 ___ 2 *|- - + -------||| | | 3 ___ 2 *|- - + -------||| | | 3 ___ 2 *|- - - -------||| | | 3 ___ 2 *|- - - -------||| / 3 ___ 2/3\
| |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /|| |1 \/ 2 2 | | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /|| |1 \/ 2 2 |
- re|acos|- - ----------------- + --------------------|| + 2*pi - I*im|acos|- - ----------------- + --------------------|| + - re|acos|- - ----------------- + --------------------|| + 2*pi - I*im|acos|- - ----------------- + --------------------|| + - acos|- - ----- + ----| + 2*pi + I*im|acos|- - ----------------- + --------------------|| + re|acos|- - ----------------- + --------------------|| + I*im|acos|- - ----------------- + --------------------|| + re|acos|- - ----------------- + --------------------|| + acos|- - ----- + ----|
| |3 / ___\ 3 || | |3 / ___\ 3 || | |3 / ___\ 3 || | |3 / ___\ 3 || \3 3 3 / | |3 / ___\ 3 || | |3 / ___\ 3 || | |3 / ___\ 3 || | |3 / ___\ 3 || \3 3 3 /
| | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | ||
| | 3*|- - + -------| || | | 3*|- - + -------| || | | 3*|- - - -------| || | | 3*|- - - -------| || | | 3*|- - + -------| || | | 3*|- - + -------| || | | 3*|- - - -------| || | | 3*|- - - -------| ||
\ \ \ 2 2 / // \ \ \ 2 2 / // \ \ \ 2 2 / // \ \ \ 2 2 / // \ \ \ 2 2 / // \ \ \ 2 2 / // \ \ \ 2 2 / // \ \ \ 2 2 / //
acos(−332+31+3232)+reacos31−3(−21+23i)32+3232(−21+23i)+iimacos31−3(−21+23i)32+3232(−21+23i)+(−acos(−332+31+3232)+2π)+−reacos31+3232(−21−23i)−3(−21−23i)32+2π−iimacos31+3232(−21−23i)−3(−21−23i)32+−reacos31−3(−21+23i)32+3232(−21+23i)+2π−iimacos31−3(−21+23i)32+3232(−21+23i)+reacos31+3232(−21−23i)−3(−21−23i)32+iimacos31+3232(−21−23i)−3(−21−23i)32 / / / / ___\\\ / / / ___\\\\ / / / / ___\\\ / / / ___\\\\ / / / / ___\\\ / / / ___\\\\ / / / / ___\\\ / / / ___\\\\
| | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 |||| | | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 |||| | | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 |||| | | | 2/3 | 1 I*\/ 3 ||| | | 2/3 | 1 I*\/ 3 ||||
| | | 3 ___ 2 *|- - + -------||| | | 3 ___ 2 *|- - + -------|||| | | | 3 ___ 2 *|- - - -------||| | | 3 ___ 2 *|- - - -------|||| / / 3 ___ 2/3\ \ | | | 3 ___ 2 *|- - + -------||| | | 3 ___ 2 *|- - + -------|||| | | | 3 ___ 2 *|- - - -------||| | | 3 ___ 2 *|- - - -------|||| / 3 ___ 2/3\
| | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /||| | | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /||| | |1 \/ 2 2 | | | | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /||| | | |1 \/ 2 \ 2 2 /|| | |1 \/ 2 \ 2 2 /||| |1 \/ 2 2 |
|- re|acos|- - ----------------- + --------------------|| + 2*pi - I*im|acos|- - ----------------- + --------------------|||*|- re|acos|- - ----------------- + --------------------|| + 2*pi - I*im|acos|- - ----------------- + --------------------|||*|- acos|- - ----- + ----| + 2*pi|*|I*im|acos|- - ----------------- + --------------------|| + re|acos|- - ----------------- + --------------------|||*|I*im|acos|- - ----------------- + --------------------|| + re|acos|- - ----------------- + --------------------|||*acos|- - ----- + ----|
| | |3 / ___\ 3 || | |3 / ___\ 3 ||| | | |3 / ___\ 3 || | |3 / ___\ 3 ||| \ \3 3 3 / / | | |3 / ___\ 3 || | |3 / ___\ 3 ||| | | |3 / ___\ 3 || | |3 / ___\ 3 ||| \3 3 3 /
| | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | ||| | | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | ||| | | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | ||| | | | | 1 I*\/ 3 | || | | | 1 I*\/ 3 | |||
| | | 3*|- - + -------| || | | 3*|- - + -------| ||| | | | 3*|- - - -------| || | | 3*|- - - -------| ||| | | | 3*|- - + -------| || | | 3*|- - + -------| ||| | | | 3*|- - - -------| || | | 3*|- - - -------| |||
\ \ \ \ 2 2 / // \ \ \ 2 2 / /// \ \ \ \ 2 2 / // \ \ \ 2 2 / /// \ \ \ \ 2 2 / // \ \ \ 2 2 / /// \ \ \ \ 2 2 / // \ \ \ 2 2 / ///
−reacos31−3(−21+23i)32+3232(−21+23i)+2π−iimacos31−3(−21+23i)32+3232(−21+23i)−reacos31+3232(−21−23i)−3(−21−23i)32+2π−iimacos31+3232(−21−23i)−3(−21−23i)32(−acos(−332+31+3232)+2π)reacos31−3(−21+23i)32+3232(−21+23i)+iimacos31−3(−21+23i)32+3232(−21+23i)reacos31+3232(−21−23i)−3(−21−23i)32+iimacos31+3232(−21−23i)−3(−21−23i)32acos(−332+31+3232) / / 3 ___ 2/3\ \ / / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\ / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\\ / / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\ / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\\ / / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\ / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\\ / / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\ / / 2/3 3 ___ 3 ___ ___ 2/3 ___\\\ / 3 ___ 2/3\
| |1 \/ 2 2 | | | | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 || | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 ||| | | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 || | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 ||| | | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 || | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 ||| | | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 || | |1 2 \/ 2 I*\/ 2 *\/ 3 I*2 *\/ 3 ||| |1 \/ 2 2 |
|- acos|- - ----- + ----| + 2*pi|*|I*im|acos|- - ---- + ----- - ------------- - ------------|| + re|acos|- - ---- + ----- - ------------- - ------------|||*|I*im|acos|- - ---- + ----- + ------------- + ------------|| + re|acos|- - ---- + ----- + ------------- + ------------|||*|-2*pi + I*im|acos|- - ---- + ----- - ------------- - ------------|| + re|acos|- - ---- + ----- - ------------- - ------------|||*|-2*pi + I*im|acos|- - ---- + ----- + ------------- + ------------|| + re|acos|- - ---- + ----- + ------------- + ------------|||*acos|- - ----- + ----|
\ \3 3 3 / / \ \ \3 6 6 6 6 // \ \3 6 6 6 6 /// \ \ \3 6 6 6 6 // \ \3 6 6 6 6 /// \ \ \3 6 6 6 6 // \ \3 6 6 6 6 /// \ \ \3 6 6 6 6 // \ \3 6 6 6 6 /// \3 3 3 /
(re(acos(−6232+632+31+6323i+62323i))+iim(acos(−6232+632+31+6323i+62323i)))(re(acos(−6232+632+31−62323i−6323i))+iim(acos(−6232+632+31−62323i−6323i)))(−acos(−332+31+3232)+2π)(−2π+re(acos(−6232+632+31+6323i+62323i))+iim(acos(−6232+632+31+6323i+62323i)))(−2π+re(acos(−6232+632+31−62323i−6323i))+iim(acos(−6232+632+31−62323i−6323i)))acos(−332+31+3232)