$\sqrt{w^21}$

asked by guest
on Nov 16, 2024 at 12:14 pm



You asked:

Evaluate the expression: \(\sqrt{{w}^{21}}\)

MathBot Answer:

\[\sqrt{{w}^{21}} = \sqrt{w^{21}}\]


Roots

\[\sqrt{{w}^{21}} = i \sqrt[4]{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)} + \sqrt[4]{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)} \approx 593.898981309111 i \left(\left(5.95379852345797 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + 2.8351421540276 \cdot 10^{-6} \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(2.8351421540276 \cdot 10^{-6} \left(\operatorname{re}{\left(w\right)}\right)^{21} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 5.95379852345797 \cdot 10^{-5} \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)} + 593.898981309111 \left(\left(5.95379852345797 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + 2.8351421540276 \cdot 10^{-6} \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(2.8351421540276 \cdot 10^{-6} \left(\operatorname{re}{\left(w\right)}\right)^{21} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 5.95379852345797 \cdot 10^{-5} \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)}\]\[\sqrt{{w}^{21}} = i \left(- \sqrt[4]{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)}\right) - \sqrt[4]{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)} \approx - 593.898981309111 i \left(\left(5.95379852345797 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + 2.8351421540276 \cdot 10^{-6} \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(2.8351421540276 \cdot 10^{-6} \left(\operatorname{re}{\left(w\right)}\right)^{21} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 5.95379852345797 \cdot 10^{-5} \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)} - 593.898981309111 \left(\left(5.95379852345797 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + 2.8351421540276 \cdot 10^{-6} \left(\operatorname{im}{\left(w\right)}\right)^{21}\right)^{2} + \left(2.8351421540276 \cdot 10^{-6} \left(\operatorname{re}{\left(w\right)}\right)^{21} - 0.000595379852345797 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0169683257918552 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.153846153846154 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 0.576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.833333333333333 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.32967032967033 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.0576923076923077 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 0.00377073906485671 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 5.95379852345797 \cdot 10^{-5} \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20}\right)^{2}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(21 \left(\operatorname{re}{\left(w\right)}\right)^{20} \operatorname{im}{\left(w\right)} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{18} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{16} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{17} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{19} + \left(\operatorname{im}{\left(w\right)}\right)^{21},\left(\operatorname{re}{\left(w\right)}\right)^{21} - 210 \left(\operatorname{re}{\left(w\right)}\right)^{19} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 5985 \left(\operatorname{re}{\left(w\right)}\right)^{17} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 54264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 203490 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 352716 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 293930 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 116280 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 20349 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{16} - 1330 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{18} + 21 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{20} \right)}}{2} \right)}\]