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exp(45*x)=48/252 la ecuación

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v

Solución numérica:

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Solución

Ha introducido [src] 
 45*x       
e     = 4/21
e45x=421e^{45 x} = \frac{4}{21}
Simplificar
Solución detallada
Tenemos la ecuación:
e45x=421e^{45 x} = \frac{4}{21}
o
e45x−421=0e^{45 x} - \frac{4}{21} = 0
o
e45x=421e^{45 x} = \frac{4}{21}
o
e45x=421e^{45 x} = \frac{4}{21}
- es la ecuación exponencial más simple
Sustituimos
v=e45xv = e^{45 x}
obtendremos
v−421=0v - \frac{4}{21} = 0
o
v−421=0v - \frac{4}{21} = 0
Transportamos los términos libres (sin v)
del miembro izquierdo al derecho, obtenemos:
v=421v = \frac{4}{21}
Obtenemos la respuesta: v = 4/21
hacemos cambio inverso
e45x=ve^{45 x} = v
o
x=log⁡(v)45x = \frac{\log{\left(v \right)}}{45}
Entonces la respuesta definitiva es
x1=log⁡(421)log⁡(e45)=log⁡(421)45x_{1} = \frac{\log{\left(\frac{4}{21} \right)}}{\log{\left(e^{45} \right)}} = \frac{\log{\left(\frac{4}{21} \right)}}{45}
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.501e195
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
        /        44\
        |        --|
        | 2/45   45|
        |2    *21  |
x1 = log|----------|
        \    21    /
x1=log⁡(2245⋅21444521)x_{1} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} 
           /   49   44                           43  44            43        44\      /        44\
           |   --   --    ___________            --  --            --        --|      |        --|
           |   90   45   /       ___       2/45  90  45      2/45  90   ___  45|      | 2/45   45|
           |- 2  *21  *\/  5 - \/ 5   + 3*2    *3  *7   + 3*2    *3  *\/ 5 *7  |      |2    *21  |
x2 = I*atan|-------------------------------------------------------------------| + log|----------|
           |            44                 44      49  43  44                  |      \    21    /
           |            --                 --      --  --  --    ___________   |                  
           |     2/45   45    2/45   ___   45      90  90  45   /       ___    |                  
           \    2    *21   + 2    *\/ 5 *21   + 3*2  *3  *7  *\/  5 - \/ 5     /
x2=log⁡(2245⋅21444521)+iatan⁡(−24990⋅2144455−5+3⋅2245⋅34390⋅74445+3⋅2245⋅343905⋅744452245⋅214445+2245⋅2144455+3⋅24990⋅34390⋅744455−5)x_{2} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \operatorname{atan}{\left(\frac{- 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{5 - \sqrt{5}} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}}}{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5} + 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{5 - \sqrt{5}}} \right)} 
           / 49   44                           43  44            43        44\      /        44\
           | --   --    ___________            --  --            --        --|      |        --|
           | 90   45   /       ___       2/45  90  45      2/45  90   ___  45|      | 2/45   45|
           |2  *21  *\/  5 - \/ 5   - 3*2    *3  *7   - 3*2    *3  *\/ 5 *7  |      |2    *21  |
x3 = I*atan|-----------------------------------------------------------------| + log|----------|
           |           44                 44      49  43  44                 |      \    21    /
           |           --                 --      --  --  --    ___________  |                  
           |    2/45   45    2/45   ___   45      90  90  45   /       ___   |                  
           \   2    *21   + 2    *\/ 5 *21   + 3*2  *3  *7  *\/  5 - \/ 5    /
x3=log⁡(2245⋅21444521)+iatan⁡(−3⋅2245⋅343905⋅74445−3⋅2245⋅34390⋅74445+24990⋅2144455−52245⋅214445+2245⋅2144455+3⋅24990⋅34390⋅744455−5)x_{3} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \operatorname{atan}{\left(\frac{- 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}} - 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} + 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{5 - \sqrt{5}}}{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5} + 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{5 - \sqrt{5}}} \right)} 
           / 49   44                           43  44            43        44\      /        44\
           | --   --    ___________            --  --            --        --|      |        --|
           | 90   45   /       ___       2/45  90  45      2/45  90   ___  45|      | 2/45   45|
           |2  *21  *\/  5 + \/ 5   - 3*2    *3  *7   + 3*2    *3  *\/ 5 *7  |      |2    *21  |
x4 = I*atan|-----------------------------------------------------------------| + log|----------|
           |           44                 44      49  43  44                 |      \    21    /
           |           --                 --      --  --  --    ___________  |                  
           |    2/45   45    2/45   ___   45      90  90  45   /       ___   |                  
           \   2    *21   - 2    *\/ 5 *21   + 3*2  *3  *7  *\/  5 + \/ 5    /
x4=log⁡(2245⋅21444521)+iatan⁡(−3⋅2245⋅34390⋅74445+24990⋅2144455+5+3⋅2245⋅343905⋅74445−2245⋅2144455+2245⋅214445+3⋅24990⋅34390⋅744455+5)x_{4} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \operatorname{atan}{\left(\frac{- 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} + 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{\sqrt{5} + 5} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}}}{- 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} + 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{\sqrt{5} + 5}} \right)} 
           /   49   44                           43  44            43        44\      /        44\
           |   --   --    ___________            --  --            --        --|      |        --|
           |   90   45   /       ___       2/45  90  45      2/45  90   ___  45|      | 2/45   45|
           |- 2  *21  *\/  5 + \/ 5   + 3*2    *3  *7   - 3*2    *3  *\/ 5 *7  |      |2    *21  |
x5 = I*atan|-------------------------------------------------------------------| + log|----------|
           |            44                 44      49  43  44                  |      \    21    /
           |            --                 --      --  --  --    ___________   |                  
           |     2/45   45    2/45   ___   45      90  90  45   /       ___    |                  
           \    2    *21   - 2    *\/ 5 *21   + 3*2  *3  *7  *\/  5 + \/ 5     /
x5=log⁡(2245⋅21444521)+iatan⁡(−3⋅2245⋅343905⋅74445−24990⋅2144455+5+3⋅2245⋅34390⋅74445−2245⋅2144455+2245⋅214445+3⋅24990⋅34390⋅744455+5)x_{5} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \operatorname{atan}{\left(\frac{- 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}} - 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{\sqrt{5} + 5} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}}}{- 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} + 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{\sqrt{5} + 5}} \right)} 
       /         / 49   44                           43  44            43        44\\      /        44\
       |         | --   --    ___________            --  --            --        --||      |        --|
       |         | 90   45   /       ___       2/45  90  45      2/45  90   ___  45||      | 2/45   45|
       |         |2  *21  *\/  5 - \/ 5   + 3*2    *3  *7   + 3*2    *3  *\/ 5 *7  ||      |2    *21  |
x6 = I*|pi + atan|-----------------------------------------------------------------|| + log|----------|
       |         |           44                 44      49  43  44                 ||      \    21    /
       |         |           --                 --      --  --  --    ___________  ||                  
       |         |    2/45   45    2/45   ___   45      90  90  45   /       ___   ||                  
       \         \   2    *21   + 2    *\/ 5 *21   - 3*2  *3  *7  *\/  5 - \/ 5    //
x6=log⁡(2245⋅21444521)+i(atan⁡(3⋅2245⋅34390⋅74445+24990⋅2144455−5+3⋅2245⋅343905⋅74445−3⋅24990⋅34390⋅744455−5+2245⋅214445+2245⋅2144455)+π)x_{6} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \left(\operatorname{atan}{\left(\frac{3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} + 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{5 - \sqrt{5}} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}}}{- 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{5 - \sqrt{5}} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5}} \right)} + \pi\right) 
       /          / /   49   44                           43  44            43        44\ \\      /        44\
       |          | |   --   --    ___________            --  --            --        --| ||      |        --|
       |          | |   90   45   /       ___       2/45  90  45      2/45  90   ___  45| ||      | 2/45   45|
       |          |-\- 2  *21  *\/  5 - \/ 5   - 3*2    *3  *7   - 3*2    *3  *\/ 5 *7  / ||      |2    *21  |
x7 = I*|-pi - atan|-----------------------------------------------------------------------|| + log|----------|
       |          |              44                 44      49  43  44                    ||      \    21    /
       |          |              --                 --      --  --  --    ___________     ||                  
       |          |       2/45   45    2/45   ___   45      90  90  45   /       ___      ||                  
       \          \      2    *21   + 2    *\/ 5 *21   - 3*2  *3  *7  *\/  5 - \/ 5       //
x7=log⁡(2245⋅21444521)+i(−π−atan⁡(−−3⋅2245⋅343905⋅74445−24990⋅2144455−5−3⋅2245⋅34390⋅74445−3⋅24990⋅34390⋅744455−5+2245⋅214445+2245⋅2144455))x_{7} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \left(- \pi - \operatorname{atan}{\left(- \frac{- 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}} - 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{5 - \sqrt{5}} - 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}}}{- 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{5 - \sqrt{5}} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5}} \right)}\right) 
       /          /   49   44                           43  44            43        44\\      /        44\
       |          |   --   --    ___________            --  --            --        --||      |        --|
       |          |   90   45   /       ___       2/45  90  45      2/45  90   ___  45||      | 2/45   45|
       |          |- 2  *21  *\/  5 + \/ 5   - 3*2    *3  *7   + 3*2    *3  *\/ 5 *7  ||      |2    *21  |
x8 = I*|-pi + atan|-------------------------------------------------------------------|| + log|----------|
       |          |            44                 44      49  43  44                  ||      \    21    /
       |          |            --                 --      --  --  --    ___________   ||                  
       |          |     2/45   45    2/45   ___   45      90  90  45   /       ___    ||                  
       \          \    2    *21   - 2    *\/ 5 *21   - 3*2  *3  *7  *\/  5 + \/ 5     //
x8=log⁡(2245⋅21444521)+i(−π+atan⁡(−24990⋅2144455+5−3⋅2245⋅34390⋅74445+3⋅2245⋅343905⋅74445−3⋅24990⋅34390⋅744455+5−2245⋅2144455+2245⋅214445))x_{8} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{- 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{\sqrt{5} + 5} - 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}}}{- 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{\sqrt{5} + 5} - 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}} \right)}\right) 
       /         / 49   44                           43  44            43        44\\      /        44\
       |         | --   --    ___________            --  --            --        --||      |        --|
       |         | 90   45   /       ___       2/45  90  45      2/45  90   ___  45||      | 2/45   45|
       |         |2  *21  *\/  5 + \/ 5   + 3*2    *3  *7   - 3*2    *3  *\/ 5 *7  ||      |2    *21  |
x9 = I*|pi + atan|-----------------------------------------------------------------|| + log|----------|
       |         |           44                 44      49  43  44                 ||      \    21    /
       |         |           --                 --      --  --  --    ___________  ||                  
       |         |    2/45   45    2/45   ___   45      90  90  45   /       ___   ||                  
       \         \   2    *21   - 2    *\/ 5 *21   - 3*2  *3  *7  *\/  5 + \/ 5    //
x9=log⁡(2245⋅21444521)+i(atan⁡(−3⋅2245⋅343905⋅74445+3⋅2245⋅34390⋅74445+24990⋅2144455+5−3⋅24990⋅34390⋅744455+5−2245⋅2144455+2245⋅214445)+π)x_{9} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + i \left(\operatorname{atan}{\left(\frac{- 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \sqrt{5} \cdot 7^{\frac{44}{45}} + 3 \cdot 2^{\frac{2}{45}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} + 2^{\frac{49}{90}} \cdot 21^{\frac{44}{45}} \sqrt{\sqrt{5} + 5}}{- 3 \cdot 2^{\frac{49}{90}} \cdot 3^{\frac{43}{90}} \cdot 7^{\frac{44}{45}} \sqrt{\sqrt{5} + 5} - 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}} \sqrt{5} + 2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}} \right)} + \pi\right) 
                    /        44\
                    |        --|
                    | 2/45   45|
        4*pi*I      |2    *21  |
x10 = - ------ + log|----------|
          5         \    21    /
x10=log⁡(2245⋅21444521)−4iπ5x_{10} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} - \frac{4 i \pi}{5} 
                    /        44\
                    |        --|
                    | 2/45   45|
        2*pi*I      |2    *21  |
x11 = - ------ + log|----------|
          3         \    21    /
x11=log⁡(2245⋅21444521)−2iπ3x_{11} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} - \frac{2 i \pi}{3} 
                    /        44\
                    |        --|
                    | 2/45   45|
        2*pi*I      |2    *21  |
x12 = - ------ + log|----------|
          5         \    21    /
x12=log⁡(2245⋅21444521)−2iπ5x_{12} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} - \frac{2 i \pi}{5} 
                  /        44\
                  |        --|
                  | 2/45   45|
      2*pi*I      |2    *21  |
x13 = ------ + log|----------|
        5         \    21    /
x13=log⁡(2245⋅21444521)+2iπ5x_{13} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + \frac{2 i \pi}{5} 
                  /        44\
                  |        --|
                  | 2/45   45|
      2*pi*I      |2    *21  |
x14 = ------ + log|----------|
        3         \    21    /
x14=log⁡(2245⋅21444521)+2iπ3x_{14} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + \frac{2 i \pi}{3} 
                  /        44\
                  |        --|
                  | 2/45   45|
      4*pi*I      |2    *21  |
x15 = ------ + log|----------|
        5         \    21    /
x15=log⁡(2245⋅21444521)+4iπ5x_{15} = \log{\left(\frac{2^{\frac{2}{45}} \cdot 21^{\frac{44}{45}}}{21} \right)} + \frac{4 i \pi}{5} 
                                   /        ___________________________________________\
                                   |       /         43                    43          |
                                   |      /          --                    --          |
        /          /   /pi\\\      |     /    4/45   45    2/pi\    4/45   45    2/pi\ |
        |          |sin|--|||      |    /    2    *21  *cos |--|   2    *21  *sin |--| |
        |          |   \45/||      |   /                    \45/                  \45/ |
x16 = I*|-pi + atan|-------|| + log|  /      ------------------- + ------------------- |
        |          |   /pi\||      \\/                21                    21         /
        |          |cos|--|||                                                           
        \          \   \45///
x16=log⁡(2445⋅214345sin⁡2(π45)21+2445⋅214345cos⁡2(π45)21)+i(−π+atan⁡(sin⁡(π45)cos⁡(π45)))x_{16} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{\pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{\pi}{45} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{45} \right)}}{\cos{\left(\frac{\pi}{45} \right)}} \right)}\right) 
                                  /        ___________________________________________\
                                  |       /         43                    43          |
                                  |      /          --                    --          |
        /         /   /pi\\\      |     /    4/45   45    2/pi\    4/45   45    2/pi\ |
        |         |sin|--|||      |    /    2    *21  *cos |--|   2    *21  *sin |--| |
        |         |   \45/||      |   /                    \45/                  \45/ |
x17 = I*|pi - atan|-------|| + log|  /      ------------------- + ------------------- |
        |         |   /pi\||      \\/                21                    21         /
        |         |cos|--|||                                                           
        \         \   \45///
x17=log⁡(2445⋅214345sin⁡2(π45)21+2445⋅214345cos⁡2(π45)21)+i(π−atan⁡(sin⁡(π45)cos⁡(π45)))x_{17} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{\pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{\pi}{45} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{45} \right)}}{\cos{\left(\frac{\pi}{45} \right)}} \right)}\right) 
                               /        _______________________________________________\
                               |       /         43                      43            |
                               |      /          --                      --            |
              /   /2*pi\\      |     /    4/45   45    2/2*pi\    4/45   45    2/2*pi\ |
              |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
              |   \ 45 /|      |   /                    \ 45 /                  \ 45 / |
x18 = - I*atan|---------| + log|  /      --------------------- + --------------------- |
              |   /2*pi\|      \\/                 21                      21          /
              |cos|----||                                                               
              \   \ 45 //
x18=log⁡(2445⋅214345sin⁡2(2π45)21+2445⋅214345cos⁡2(2π45)21)−iatan⁡(sin⁡(2π45)cos⁡(2π45))x_{18} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{2 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{2 \pi}{45} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{2 \pi}{45} \right)}}{\cos{\left(\frac{2 \pi}{45} \right)}} \right)} 
                             /        _______________________________________________\
                             |       /         43                      43            |
                             |      /          --                      --            |
            /   /2*pi\\      |     /    4/45   45    2/2*pi\    4/45   45    2/2*pi\ |
            |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
            |   \ 45 /|      |   /                    \ 45 /                  \ 45 / |
x19 = I*atan|---------| + log|  /      --------------------- + --------------------- |
            |   /2*pi\|      \\/                 21                      21          /
            |cos|----||                                                               
            \   \ 45 //
x19=log⁡(2445⋅214345sin⁡2(2π45)21+2445⋅214345cos⁡2(2π45)21)+iatan⁡(sin⁡(2π45)cos⁡(2π45))x_{19} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{2 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{2 \pi}{45} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{2 \pi}{45} \right)}}{\cos{\left(\frac{2 \pi}{45} \right)}} \right)} 
                               /        _______________________________________________\
                               |       /         43                      43            |
                               |      /          --                      --            |
              /   /4*pi\\      |     /    4/45   45    2/4*pi\    4/45   45    2/4*pi\ |
              |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
              |   \ 45 /|      |   /                    \ 45 /                  \ 45 / |
x20 = - I*atan|---------| + log|  /      --------------------- + --------------------- |
              |   /4*pi\|      \\/                 21                      21          /
              |cos|----||                                                               
              \   \ 45 //
x20=log⁡(2445⋅214345sin⁡2(4π45)21+2445⋅214345cos⁡2(4π45)21)−iatan⁡(sin⁡(4π45)cos⁡(4π45))x_{20} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{4 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{4 \pi}{45} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{4 \pi}{45} \right)}}{\cos{\left(\frac{4 \pi}{45} \right)}} \right)} 
                             /        _______________________________________________\
                             |       /         43                      43            |
                             |      /          --                      --            |
            /   /4*pi\\      |     /    4/45   45    2/4*pi\    4/45   45    2/4*pi\ |
            |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
            |   \ 45 /|      |   /                    \ 45 /                  \ 45 / |
x21 = I*atan|---------| + log|  /      --------------------- + --------------------- |
            |   /4*pi\|      \\/                 21                      21          /
            |cos|----||                                                               
            \   \ 45 //
x21=log⁡(2445⋅214345sin⁡2(4π45)21+2445⋅214345cos⁡2(4π45)21)+iatan⁡(sin⁡(4π45)cos⁡(4π45))x_{21} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{4 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{4 \pi}{45} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{4 \pi}{45} \right)}}{\cos{\left(\frac{4 \pi}{45} \right)}} \right)} 
                                   /        ___________________________________________\
                                   |       /         43                    43          |
                                   |      /          --                    --          |
        /          /   /pi\\\      |     /    4/45   45    2/pi\    4/45   45    2/pi\ |
        |          |sin|--|||      |    /    2    *21  *cos |--|   2    *21  *sin |--| |
        |          |   \9 /||      |   /                    \9 /                  \9 / |
x22 = I*|-pi + atan|-------|| + log|  /      ------------------- + ------------------- |
        |          |   /pi\||      \\/                21                    21         /
        |          |cos|--|||                                                           
        \          \   \9 ///
x22=log⁡(2445⋅214345sin⁡2(π9)21+2445⋅214345cos⁡2(π9)21)+i(−π+atan⁡(sin⁡(π9)cos⁡(π9)))x_{22} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{\pi}{9} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{\pi}{9} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{9} \right)}}{\cos{\left(\frac{\pi}{9} \right)}} \right)}\right) 
                                  /        ___________________________________________\
                                  |       /         43                    43          |
                                  |      /          --                    --          |
        /         /   /pi\\\      |     /    4/45   45    2/pi\    4/45   45    2/pi\ |
        |         |sin|--|||      |    /    2    *21  *cos |--|   2    *21  *sin |--| |
        |         |   \9 /||      |   /                    \9 /                  \9 / |
x23 = I*|pi - atan|-------|| + log|  /      ------------------- + ------------------- |
        |         |   /pi\||      \\/                21                    21         /
        |         |cos|--|||                                                           
        \         \   \9 ///
x23=log⁡(2445⋅214345sin⁡2(π9)21+2445⋅214345cos⁡2(π9)21)+i(π−atan⁡(sin⁡(π9)cos⁡(π9)))x_{23} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{\pi}{9} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{\pi}{9} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{\pi}{9} \right)}}{\cos{\left(\frac{\pi}{9} \right)}} \right)}\right) 
                                     /        _______________________________________________\
                                     |       /         43                      43            |
                                     |      /          --                      --            |
        /          /   /7*pi\\\      |     /    4/45   45    2/7*pi\    4/45   45    2/7*pi\ |
        |          |sin|----|||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
        |          |   \ 45 /||      |   /                    \ 45 /                  \ 45 / |
x24 = I*|-pi + atan|---------|| + log|  /      --------------------- + --------------------- |
        |          |   /7*pi\||      \\/                 21                      21          /
        |          |cos|----|||                                                               
        \          \   \ 45 ///
x24=log⁡(2445⋅214345sin⁡2(7π45)21+2445⋅214345cos⁡2(7π45)21)+i(−π+atan⁡(sin⁡(7π45)cos⁡(7π45)))x_{24} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{7 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{7 \pi}{45} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{7 \pi}{45} \right)}}{\cos{\left(\frac{7 \pi}{45} \right)}} \right)}\right) 
                                    /        _______________________________________________\
                                    |       /         43                      43            |
                                    |      /          --                      --            |
        /         /   /7*pi\\\      |     /    4/45   45    2/7*pi\    4/45   45    2/7*pi\ |
        |         |sin|----|||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
        |         |   \ 45 /||      |   /                    \ 45 /                  \ 45 / |
x25 = I*|pi - atan|---------|| + log|  /      --------------------- + --------------------- |
        |         |   /7*pi\||      \\/                 21                      21          /
        |         |cos|----|||                                                               
        \         \   \ 45 ///
x25=log⁡(2445⋅214345sin⁡2(7π45)21+2445⋅214345cos⁡2(7π45)21)+i(π−atan⁡(sin⁡(7π45)cos⁡(7π45)))x_{25} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{7 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{7 \pi}{45} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{7 \pi}{45} \right)}}{\cos{\left(\frac{7 \pi}{45} \right)}} \right)}\right) 
                               /        _______________________________________________\
                               |       /         43                      43            |
                               |      /          --                      --            |
              /   /8*pi\\      |     /    4/45   45    2/8*pi\    4/45   45    2/8*pi\ |
              |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
              |   \ 45 /|      |   /                    \ 45 /                  \ 45 / |
x26 = - I*atan|---------| + log|  /      --------------------- + --------------------- |
              |   /8*pi\|      \\/                 21                      21          /
              |cos|----||                                                               
              \   \ 45 //
x26=log⁡(2445⋅214345sin⁡2(8π45)21+2445⋅214345cos⁡2(8π45)21)−iatan⁡(sin⁡(8π45)cos⁡(8π45))x_{26} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{8 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{8 \pi}{45} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{8 \pi}{45} \right)}}{\cos{\left(\frac{8 \pi}{45} \right)}} \right)} 
                             /        _______________________________________________\
                             |       /         43                      43            |
                             |      /          --                      --            |
            /   /8*pi\\      |     /    4/45   45    2/8*pi\    4/45   45    2/8*pi\ |
            |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
            |   \ 45 /|      |   /                    \ 45 /                  \ 45 / |
x27 = I*atan|---------| + log|  /      --------------------- + --------------------- |
            |   /8*pi\|      \\/                 21                      21          /
            |cos|----||                                                               
            \   \ 45 //
x27=log⁡(2445⋅214345sin⁡2(8π45)21+2445⋅214345cos⁡2(8π45)21)+iatan⁡(sin⁡(8π45)cos⁡(8π45))x_{27} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{8 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{8 \pi}{45} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{8 \pi}{45} \right)}}{\cos{\left(\frac{8 \pi}{45} \right)}} \right)} 
                               /        _______________________________________________\
                               |       /         43                      43            |
                               |      /          --                      --            |
              /   /2*pi\\      |     /    4/45   45    2/2*pi\    4/45   45    2/2*pi\ |
              |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
              |   \ 9  /|      |   /                    \ 9  /                  \ 9  / |
x28 = - I*atan|---------| + log|  /      --------------------- + --------------------- |
              |   /2*pi\|      \\/                 21                      21          /
              |cos|----||                                                               
              \   \ 9  //
x28=log⁡(2445⋅214345sin⁡2(2π9)21+2445⋅214345cos⁡2(2π9)21)−iatan⁡(sin⁡(2π9)cos⁡(2π9))x_{28} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{2 \pi}{9} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{2 \pi}{9} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{2 \pi}{9} \right)}}{\cos{\left(\frac{2 \pi}{9} \right)}} \right)} 
                             /        _______________________________________________\
                             |       /         43                      43            |
                             |      /          --                      --            |
            /   /2*pi\\      |     /    4/45   45    2/2*pi\    4/45   45    2/2*pi\ |
            |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
            |   \ 9  /|      |   /                    \ 9  /                  \ 9  / |
x29 = I*atan|---------| + log|  /      --------------------- + --------------------- |
            |   /2*pi\|      \\/                 21                      21          /
            |cos|----||                                                               
            \   \ 9  //
x29=log⁡(2445⋅214345sin⁡2(2π9)21+2445⋅214345cos⁡2(2π9)21)+iatan⁡(sin⁡(2π9)cos⁡(2π9))x_{29} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{2 \pi}{9} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{2 \pi}{9} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{2 \pi}{9} \right)}}{\cos{\left(\frac{2 \pi}{9} \right)}} \right)} 
                                      /        _________________________________________________\
                                      |       /         43                       43             |
                                      |      /          --                       --             |
        /          /   /11*pi\\\      |     /    4/45   45    2/11*pi\    4/45   45    2/11*pi\ |
        |          |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |          |   \  45 /||      |   /                    \  45 /                  \  45 / |
x30 = I*|-pi + atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |          |   /11*pi\||      \\/                 21                       21           /
        |          |cos|-----|||                                                                 
        \          \   \  45 ///
x30=log⁡(2445⋅214345sin⁡2(11π45)21+2445⋅214345cos⁡2(11π45)21)+i(−π+atan⁡(sin⁡(11π45)cos⁡(11π45)))x_{30} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{11 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{11 \pi}{45} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{11 \pi}{45} \right)}}{\cos{\left(\frac{11 \pi}{45} \right)}} \right)}\right) 
                                     /        _________________________________________________\
                                     |       /         43                       43             |
                                     |      /          --                       --             |
        /         /   /11*pi\\\      |     /    4/45   45    2/11*pi\    4/45   45    2/11*pi\ |
        |         |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |         |   \  45 /||      |   /                    \  45 /                  \  45 / |
x31 = I*|pi - atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |         |   /11*pi\||      \\/                 21                       21           /
        |         |cos|-----|||                                                                 
        \         \   \  45 ///
x31=log⁡(2445⋅214345sin⁡2(11π45)21+2445⋅214345cos⁡2(11π45)21)+i(π−atan⁡(sin⁡(11π45)cos⁡(11π45)))x_{31} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{11 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{11 \pi}{45} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{11 \pi}{45} \right)}}{\cos{\left(\frac{11 \pi}{45} \right)}} \right)}\right) 
                                      /        _________________________________________________\
                                      |       /         43                       43             |
                                      |      /          --                       --             |
        /          /   /13*pi\\\      |     /    4/45   45    2/13*pi\    4/45   45    2/13*pi\ |
        |          |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |          |   \  45 /||      |   /                    \  45 /                  \  45 / |
x32 = I*|-pi + atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |          |   /13*pi\||      \\/                 21                       21           /
        |          |cos|-----|||                                                                 
        \          \   \  45 ///
x32=log⁡(2445⋅214345cos⁡2(13π45)21+2445⋅214345sin⁡2(13π45)21)+i(−π+atan⁡(sin⁡(13π45)cos⁡(13π45)))x_{32} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{13 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{13 \pi}{45} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{13 \pi}{45} \right)}}{\cos{\left(\frac{13 \pi}{45} \right)}} \right)}\right) 
                                     /        _________________________________________________\
                                     |       /         43                       43             |
                                     |      /          --                       --             |
        /         /   /13*pi\\\      |     /    4/45   45    2/13*pi\    4/45   45    2/13*pi\ |
        |         |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |         |   \  45 /||      |   /                    \  45 /                  \  45 / |
x33 = I*|pi - atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |         |   /13*pi\||      \\/                 21                       21           /
        |         |cos|-----|||                                                                 
        \         \   \  45 ///
x33=log⁡(2445⋅214345cos⁡2(13π45)21+2445⋅214345sin⁡2(13π45)21)+i(π−atan⁡(sin⁡(13π45)cos⁡(13π45)))x_{33} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{13 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{13 \pi}{45} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{13 \pi}{45} \right)}}{\cos{\left(\frac{13 \pi}{45} \right)}} \right)}\right) 
                                /        _________________________________________________\
                                |       /         43                       43             |
                                |      /          --                       --             |
              /   /14*pi\\      |     /    4/45   45    2/14*pi\    4/45   45    2/14*pi\ |
              |sin|-----||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
              |   \  45 /|      |   /                    \  45 /                  \  45 / |
x34 = - I*atan|----------| + log|  /      ---------------------- + ---------------------- |
              |   /14*pi\|      \\/                 21                       21           /
              |cos|-----||                                                                 
              \   \  45 //
x34=log⁡(2445⋅214345cos⁡2(14π45)21+2445⋅214345sin⁡2(14π45)21)−iatan⁡(sin⁡(14π45)cos⁡(14π45))x_{34} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{14 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{14 \pi}{45} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{14 \pi}{45} \right)}}{\cos{\left(\frac{14 \pi}{45} \right)}} \right)} 
                              /        _________________________________________________\
                              |       /         43                       43             |
                              |      /          --                       --             |
            /   /14*pi\\      |     /    4/45   45    2/14*pi\    4/45   45    2/14*pi\ |
            |sin|-----||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
            |   \  45 /|      |   /                    \  45 /                  \  45 / |
x35 = I*atan|----------| + log|  /      ---------------------- + ---------------------- |
            |   /14*pi\|      \\/                 21                       21           /
            |cos|-----||                                                                 
            \   \  45 //
x35=log⁡(2445⋅214345cos⁡2(14π45)21+2445⋅214345sin⁡2(14π45)21)+iatan⁡(sin⁡(14π45)cos⁡(14π45))x_{35} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{14 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{14 \pi}{45} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{14 \pi}{45} \right)}}{\cos{\left(\frac{14 \pi}{45} \right)}} \right)} 
                                /        _________________________________________________\
                                |       /         43                       43             |
                                |      /          --                       --             |
              /   /16*pi\\      |     /    4/45   45    2/16*pi\    4/45   45    2/16*pi\ |
              |sin|-----||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
              |   \  45 /|      |   /                    \  45 /                  \  45 / |
x36 = - I*atan|----------| + log|  /      ---------------------- + ---------------------- |
              |   /16*pi\|      \\/                 21                       21           /
              |cos|-----||                                                                 
              \   \  45 //
x36=log⁡(2445⋅214345cos⁡2(16π45)21+2445⋅214345sin⁡2(16π45)21)−iatan⁡(sin⁡(16π45)cos⁡(16π45))x_{36} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{16 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{16 \pi}{45} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{16 \pi}{45} \right)}}{\cos{\left(\frac{16 \pi}{45} \right)}} \right)} 
                              /        _________________________________________________\
                              |       /         43                       43             |
                              |      /          --                       --             |
            /   /16*pi\\      |     /    4/45   45    2/16*pi\    4/45   45    2/16*pi\ |
            |sin|-----||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
            |   \  45 /|      |   /                    \  45 /                  \  45 / |
x37 = I*atan|----------| + log|  /      ---------------------- + ---------------------- |
            |   /16*pi\|      \\/                 21                       21           /
            |cos|-----||                                                                 
            \   \  45 //
x37=log⁡(2445⋅214345cos⁡2(16π45)21+2445⋅214345sin⁡2(16π45)21)+iatan⁡(sin⁡(16π45)cos⁡(16π45))x_{37} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{16 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{16 \pi}{45} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{16 \pi}{45} \right)}}{\cos{\left(\frac{16 \pi}{45} \right)}} \right)} 
                                      /        _________________________________________________\
                                      |       /         43                       43             |
                                      |      /          --                       --             |
        /          /   /17*pi\\\      |     /    4/45   45    2/17*pi\    4/45   45    2/17*pi\ |
        |          |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |          |   \  45 /||      |   /                    \  45 /                  \  45 / |
x38 = I*|-pi + atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |          |   /17*pi\||      \\/                 21                       21           /
        |          |cos|-----|||                                                                 
        \          \   \  45 ///
x38=log⁡(2445⋅214345cos⁡2(17π45)21+2445⋅214345sin⁡2(17π45)21)+i(−π+atan⁡(sin⁡(17π45)cos⁡(17π45)))x_{38} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{17 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{17 \pi}{45} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{17 \pi}{45} \right)}}{\cos{\left(\frac{17 \pi}{45} \right)}} \right)}\right) 
                                     /        _________________________________________________\
                                     |       /         43                       43             |
                                     |      /          --                       --             |
        /         /   /17*pi\\\      |     /    4/45   45    2/17*pi\    4/45   45    2/17*pi\ |
        |         |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |         |   \  45 /||      |   /                    \  45 /                  \  45 / |
x39 = I*|pi - atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |         |   /17*pi\||      \\/                 21                       21           /
        |         |cos|-----|||                                                                 
        \         \   \  45 ///
x39=log⁡(2445⋅214345cos⁡2(17π45)21+2445⋅214345sin⁡2(17π45)21)+i(π−atan⁡(sin⁡(17π45)cos⁡(17π45)))x_{39} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{17 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{17 \pi}{45} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{17 \pi}{45} \right)}}{\cos{\left(\frac{17 \pi}{45} \right)}} \right)}\right) 
                                      /        _________________________________________________\
                                      |       /         43                       43             |
                                      |      /          --                       --             |
        /          /   /19*pi\\\      |     /    4/45   45    2/19*pi\    4/45   45    2/19*pi\ |
        |          |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |          |   \  45 /||      |   /                    \  45 /                  \  45 / |
x40 = I*|-pi + atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |          |   /19*pi\||      \\/                 21                       21           /
        |          |cos|-----|||                                                                 
        \          \   \  45 ///
x40=log⁡(2445⋅214345cos⁡2(19π45)21+2445⋅214345sin⁡2(19π45)21)+i(−π+atan⁡(sin⁡(19π45)cos⁡(19π45)))x_{40} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{19 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{19 \pi}{45} \right)}}{21}} \right)} + i \left(- \pi + \operatorname{atan}{\left(\frac{\sin{\left(\frac{19 \pi}{45} \right)}}{\cos{\left(\frac{19 \pi}{45} \right)}} \right)}\right) 
                                     /        _________________________________________________\
                                     |       /         43                       43             |
                                     |      /          --                       --             |
        /         /   /19*pi\\\      |     /    4/45   45    2/19*pi\    4/45   45    2/19*pi\ |
        |         |sin|-----|||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
        |         |   \  45 /||      |   /                    \  45 /                  \  45 / |
x41 = I*|pi - atan|----------|| + log|  /      ---------------------- + ---------------------- |
        |         |   /19*pi\||      \\/                 21                       21           /
        |         |cos|-----|||                                                                 
        \         \   \  45 ///
x41=log⁡(2445⋅214345cos⁡2(19π45)21+2445⋅214345sin⁡2(19π45)21)+i(π−atan⁡(sin⁡(19π45)cos⁡(19π45)))x_{41} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{19 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{19 \pi}{45} \right)}}{21}} \right)} + i \left(\pi - \operatorname{atan}{\left(\frac{\sin{\left(\frac{19 \pi}{45} \right)}}{\cos{\left(\frac{19 \pi}{45} \right)}} \right)}\right) 
                               /        _______________________________________________\
                               |       /         43                      43            |
                               |      /          --                      --            |
              /   /4*pi\\      |     /    4/45   45    2/4*pi\    4/45   45    2/4*pi\ |
              |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
              |   \ 9  /|      |   /                    \ 9  /                  \ 9  / |
x42 = - I*atan|---------| + log|  /      --------------------- + --------------------- |
              |   /4*pi\|      \\/                 21                      21          /
              |cos|----||                                                               
              \   \ 9  //
x42=log⁡(2445⋅214345cos⁡2(4π9)21+2445⋅214345sin⁡2(4π9)21)−iatan⁡(sin⁡(4π9)cos⁡(4π9))x_{42} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{4 \pi}{9} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{4 \pi}{9} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{4 \pi}{9} \right)}}{\cos{\left(\frac{4 \pi}{9} \right)}} \right)} 
                             /        _______________________________________________\
                             |       /         43                      43            |
                             |      /          --                      --            |
            /   /4*pi\\      |     /    4/45   45    2/4*pi\    4/45   45    2/4*pi\ |
            |sin|----||      |    /    2    *21  *cos |----|   2    *21  *sin |----| |
            |   \ 9  /|      |   /                    \ 9  /                  \ 9  / |
x43 = I*atan|---------| + log|  /      --------------------- + --------------------- |
            |   /4*pi\|      \\/                 21                      21          /
            |cos|----||                                                               
            \   \ 9  //
x43=log⁡(2445⋅214345cos⁡2(4π9)21+2445⋅214345sin⁡2(4π9)21)+iatan⁡(sin⁡(4π9)cos⁡(4π9))x_{43} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{4 \pi}{9} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{4 \pi}{9} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{4 \pi}{9} \right)}}{\cos{\left(\frac{4 \pi}{9} \right)}} \right)} 
                                /        _________________________________________________\
                                |       /         43                       43             |
                                |      /          --                       --             |
              /   /22*pi\\      |     /    4/45   45    2/22*pi\    4/45   45    2/22*pi\ |
              |sin|-----||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
              |   \  45 /|      |   /                    \  45 /                  \  45 / |
x44 = - I*atan|----------| + log|  /      ---------------------- + ---------------------- |
              |   /22*pi\|      \\/                 21                       21           /
              |cos|-----||                                                                 
              \   \  45 //
x44=log⁡(2445⋅214345cos⁡2(22π45)21+2445⋅214345sin⁡2(22π45)21)−iatan⁡(sin⁡(22π45)cos⁡(22π45))x_{44} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{22 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{22 \pi}{45} \right)}}{21}} \right)} - i \operatorname{atan}{\left(\frac{\sin{\left(\frac{22 \pi}{45} \right)}}{\cos{\left(\frac{22 \pi}{45} \right)}} \right)} 
                              /        _________________________________________________\
                              |       /         43                       43             |
                              |      /          --                       --             |
            /   /22*pi\\      |     /    4/45   45    2/22*pi\    4/45   45    2/22*pi\ |
            |sin|-----||      |    /    2    *21  *cos |-----|   2    *21  *sin |-----| |
            |   \  45 /|      |   /                    \  45 /                  \  45 / |
x45 = I*atan|----------| + log|  /      ---------------------- + ---------------------- |
            |   /22*pi\|      \\/                 21                       21           /
            |cos|-----||                                                                 
            \   \  45 //
x45=log⁡(2445⋅214345cos⁡2(22π45)21+2445⋅214345sin⁡2(22π45)21)+iatan⁡(sin⁡(22π45)cos⁡(22π45))x_{45} = \log{\left(\sqrt{\frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \cos^{2}{\left(\frac{22 \pi}{45} \right)}}{21} + \frac{2^{\frac{4}{45}} \cdot 21^{\frac{43}{45}} \sin^{2}{\left(\frac{22 \pi}{45} \right)}}{21}} \right)} + i \operatorname{atan}{\left(\frac{\sin{\left(\frac{22 \pi}{45} \right)}}{\cos{\left(\frac{22 \pi}{45} \right)}} \right)} 
x45 = log(sqrt(2^(4/45)*21^(43/45)*cos(22*pi/45)^2/21 + 2^(4/45)*21^(43/45)*sin(22*pi/45)^2/21)) + i*atan(sin(22*pi/45)/cos(22*pi/45))
Respuesta numérica [src] 
x1 = -0.0368495128134118 - 2.51327412287183*i
x2 = -0.0368495128134118 - 2.0943951023932*i
x3 = -0.0368495128134118 - 1.25663706143592*i
x4 = -0.0368495128134118 + 1.25663706143592*i
x5 = -0.0368495128134118 + 2.0943951023932*i
x6 = -0.0368495128134118 + 2.51327412287183*i
x7 = -0.0368495128134118
x8 = -0.0368495128134118 - 3.07177948351002*i
x9 = -0.0368495128134118 + 3.07177948351002*i
x10 = -0.0368495128134118 - 0.139626340159546*i
x11 = -0.0368495128134118 + 0.139626340159546*i
x12 = -0.0368495128134118 - 0.279252680319093*i
x13 = -0.0368495128134118 + 0.279252680319093*i
x14 = -0.0368495128134118 - 2.79252680319093*i
x15 = -0.0368495128134118 + 2.79252680319093*i
x16 = -0.0368495128134118 - 2.65290046303138*i
x17 = -0.0368495128134118 + 2.65290046303138*i
x18 = -0.0368495128134118 - 0.558505360638185*i
x19 = -0.0368495128134118 + 0.558505360638185*i
x20 = -0.0368495128134118 - 0.698131700797732*i
x21 = -0.0368495128134118 + 0.698131700797732*i
x22 = -0.0368495128134118 - 2.37364778271229*i
x23 = -0.0368495128134118 + 2.37364778271229*i
x24 = -0.0368495128134118 - 2.23402144255274*i
x25 = -0.0368495128134118 + 2.23402144255274*i
x26 = -0.0368495128134118 - 0.977384381116825*i
x27 = -0.0368495128134118 + 0.977384381116825*i
x28 = -0.0368495128134118 - 1.11701072127637*i
x29 = -0.0368495128134118 + 1.11701072127637*i
x30 = -0.0368495128134118 - 1.95476876223365*i
x31 = -0.0368495128134118 + 1.95476876223365*i
x32 = -0.0368495128134118 - 1.8151424220741*i
x33 = -0.0368495128134118 + 1.8151424220741*i
x34 = -0.0368495128134118 - 1.39626340159546*i
x35 = -0.0368495128134118 + 1.39626340159546*i
x36 = -0.0368495128134118 - 1.53588974175501*i
x37 = -0.0368495128134118 + 1.53588974175501*i
x38 = -0.0368495128134118 + 0.418879020478639*i
x39 = -0.0368495128134118 - 0.418879020478639*i
x40 = -0.0368495128134118 + 0.837758040957278*i
x41 = -0.0368495128134118 - 0.837758040957278*i
x42 = -0.0368495128134118 + 1.67551608191456*i
x43 = -0.0368495128134118 - 1.67551608191456*i
x44 = -0.0368495128134118 - 2.93215314335047*i
x45 = -0.0368495128134118 + 2.93215314335047*i
x45 = -0.0368495128134118 + 2.93215314335047*i
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