El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 2*x + x + a*x + b = 0
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____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ | / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||||| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||||| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /||| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| | \ 8 4 2 8 8 4 2 /| /1 3*re(a)\ | \ 8 4 2 8 8 4 2 /|| / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| | \ 8 4 2 8 8 4 2 /| /1 3*re(a)\ | \ 8 4 2 8 8 4 2 /| | 6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*im(a) |- - -------|*sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| im(a)*sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| |- - -------|*cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 1 | \/ \ 8 4 2 / \8 8 4 2 / \ 3 / \ 3 / \4 2 / \ 3 /| \/ \ 8 4 2 / \8 8 4 2 / \ 3 / \ 3 / \4 2 / \ 3 / x1 = - - + I*|- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - 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+ ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 6 | 3 _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | 3 _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ | / 2 2 / 2 2 | / 2 2 / 2 2 | / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | 2*6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 3*6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| | 2*6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 3*6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ \/ \ 8 4 2 / \8 8 4 2 / \/ \ 8 4 2 / \8 8 4 2 / / \/ \ 8 4 2 / \8 8 4 2 / \/ \ 8 4 2 / \8 8 4 2 /
/ / 1 \ /1 3*re(a)\ / 1 \ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\\ / 1 \ /1 3*re(a)\ / 1 \ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ |im(a)*re|----------------------------------------------------------------------------------| |- - -------|*im|----------------------------------------------------------------------------------| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||||| im(a)*im|----------------------------------------------------------------------------------| |- - -------|*re|----------------------------------------------------------------------------------| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | | __________________________________________________________| \4 2 / | __________________________________________________________| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||||| | __________________________________________________________| \4 2 / | __________________________________________________________| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | | / __________________________________ | | / __________________________________ | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|||| | / __________________________________ | | / __________________________________ | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | | / / 2 3 | | / / 2 3 | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||| | / / 2 3 | | / / 2 3 | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | | / / /1 9*a 27*b\ /1 3*a\ | | / / /1 9*a 27*b\ /1 3*a\ | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /||| | / / /1 9*a 27*b\ /1 3*a\ | | / / /1 9*a 27*b\ /1 3*a\ | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | |/ ___\ / / |- - --- + ----| - 4*|- - ---| | |/ ___\ / / |- - --- + ----| - 4*|- - ---| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| |/ ___\ / / |- - --- + ----| - 4*|- - ---| | |/ ___\ / / |- - --- + ----| - 4*|- - ---| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| ___ / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /|| || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| ___ / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| | ||- - - -------|*3 / - + --------------------------------------- - --- + ---- | ||- - - -------|*3 / - + --------------------------------------- - --- + ---- | 6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| ||- - - -------|*3 / - + --------------------------------------- - --- + ---- | ||- - - -------|*3 / - + --------------------------------------- - --- + ---- | 6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 1 | \\ 2 2 / \/ 8 2 8 4 / \\ 2 2 / \/ 8 2 8 4 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 /| \\ 2 2 / \/ 8 2 8 4 / \\ 2 2 / \/ 8 2 8 4 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 / x2 = - - + I*|-------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 6 \ 2 3 6 6 / 2 3 6 6
/ / 1 \ /1 3*re(a)\ / 1 \ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\\ / 1 \ /1 3*re(a)\ / 1 \ _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ 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____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\ ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\\ |im(a)*re|----------------------------------------------------------------------------------| |- - -------|*im|----------------------------------------------------------------------------------| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||||| im(a)*im|----------------------------------------------------------------------------------| |- - -------|*re|----------------------------------------------------------------------------------| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| / 2 2 | | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|| / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\|||| | | __________________________________________________________| \4 2 / | __________________________________________________________| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||||| | __________________________________________________________| \4 2 / | __________________________________________________________| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| / / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ / ____________________________________________________________________________________________________________________________________________________________________________________________________ / / 3 2 2 2 3 \\\ | | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||| / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------||||| | | / __________________________________ | | / __________________________________ | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|||| | / __________________________________ | | / __________________________________ | / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| / | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | / 2 2 | | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ /1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\||| | | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //| / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //||| | | / / 2 3 | | / / 2 3 | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|||| | / / 2 3 | | / / 2 3 | / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| / | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | / / 3 2 \ / 2 2 3 \ |atan2|- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a), |- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|||| | | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| | | / / /1 9*a 27*b\ /1 3*a\ | | / / /1 9*a 27*b\ /1 3*a\ | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /||| | / / /1 9*a 27*b\ /1 3*a\ | | / / /1 9*a 27*b\ /1 3*a\ | / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| / | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | / | 27*im (a) / 9*im(a) 27*im(b)\ /1 9*re(a) 27*re(b)\ /1 3*re(a)\ | |/1 9*re(a) 27*re(b)\ / 9*im(a) 27*im(b)\ /1 3*re(a)\ 2 /1 3*re(a)\| | \ 2 \ 4 2 / \4 4 2 / \4 2 / \4 4 2 / \ 4 2 / \4 2 / \4 2 //|| | | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 / 1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /|| | |/ ___\ / / |- - --- + ----| - 4*|- - ---| | |/ ___\ / / |- - --- + ----| - 4*|- - ---| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||| |/ ___\ / / |- - --- + ----| - 4*|- - ---| | |/ ___\ / / |- - --- + ----| - 4*|- - ---| | / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| / | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | 4 / |- --------- + 2*|- ------- + --------|*|- - ------- + --------| + 18*|- - -------| *im(a)| + ||- - ------- + --------| - |- ------- + --------| - 4*|- - -------| + 27*im (a)*|- - -------|| *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| |atan2|- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------, - - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| | || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| ___ / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /|| || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | || 1 I*\/ 3 | / 1 \/ \4 4 2 / \4 2 / 9*a 27*b | / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| ___ / | 9*im(a) 27*im(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| |1 9*re(a) 27*re(b) \/ \ 2 \ 4 2 / \4 4 2 / \4 2 / / \\4 4 2 / \ 4 2 / \4 2 / \4 2 // \ 2 /| | \ 8 4 2 8 8 4 2 /| | ||- - + -------|*3 / - + --------------------------------------- - --- + ---- | ||- - + -------|*3 / - + --------------------------------------- - --- + ---- | 6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| ||- - + -------|*3 / - + --------------------------------------- - --- + ---- | ||- - + -------|*3 / - + --------------------------------------- - --- + ---- | 6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \/ 3 *6 / |- ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + |- - ------- + -------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| 1 | \\ 2 2 / \/ 8 2 8 4 / \\ 2 2 / \/ 8 2 8 4 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 /| \\ 2 2 / \/ 8 2 8 4 / \\ 2 2 / \/ 8 2 8 4 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 / \/ \ 8 4 2 / \8 8 4 2 / \ 3 / x3 = - - + I*|-------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 6 \ 2 3 6 6 / 2 3 6 6
x3 = -(1/4 - 3*re(a)/2)*re(1/((-1/2 + sqrt(3)*i/2)*(-9*a/8 + 27*b/4 + sqrt(-4*(1/4 - 3*a/2)^3 + (-9*a/4 + 27*b/2 + 1/4)^2)/2 + 1/8)^(1/3)))/3 + sqrt(3)*((((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4)^2 + (((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)^2)^(1/6)*sin(atan2(((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4, ((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)/3)/6 + ((((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4)^2 + (((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)^2)^(1/6)*cos(atan2(((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4, ((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)/3)/6 + i*(-(1/4 - 3*re(a)/2)*im(1/((-1/2 + sqrt(3)*i/2)*(-9*a/8 + 27*b/4 + sqrt(-4*(1/4 - 3*a/2)^3 + (-9*a/4 + 27*b/2 + 1/4)^2)/2 + 1/8)^(1/3)))/3 + ((((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4)^2 + (((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)^2)^(1/6)*sin(atan2(((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4, ((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)/3)/6 - sqrt(3)*((((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4)^2 + (((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)^2)^(1/6)*cos(atan2(((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*sin(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*im(a)/8 + 27*im(b)/4, ((18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2)^2 + (-4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)^2)^(1/4)*cos(atan2(18*(1/4 - 3*re(a)/2)^2*im(a) + 2*(-9*im(a)/4 + 27*im(b)/2)*(-9*re(a)/4 + 27*re(b)/2 + 1/4) - 27*im(a)^3/2, -4*(1/4 - 3*re(a)/2)^3 + 27*(1/4 - 3*re(a)/2)*im(a)^2 - (-9*im(a)/4 + 27*im(b)/2)^2 + (-9*re(a)/4 + 27*re(b)/2 + 1/4)^2)/2)/2 - 9*re(a)/8 + 27*re(b)/4 + 1/8)/3)/6 + re(1/((-1/2 + sqrt(3)*i/2)*(-9*a/8 + 27*b/4 + sqrt(-4*(1/4 - 3*a/2)^3 + (-9*a/4 + 27*b/2 + 1/4)^2)/2 + 1/8)^(1/3)))*im(a)/2) - im(a)*im(1/((-1/2 + sqrt(3)*i/2)*(-9*a/8 + 27*b/4 + sqrt(-4*(1/4 - 3*a/2)^3 + (-9*a/4 + 27*b/2 + 1/4)^2)/2 + 1/8)^(1/3)))/2 - 1/6)