Math Problem Solver

Roots

\[\sqrt{24 \cdot {w}^{17}} = i \sqrt[4]{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)} + \sqrt[4]{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)} \approx 763.832442358925 i \left(\left(0.000699300699300699 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 4.11353352529823 \cdot 10^{-5} \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(4.11353352529823 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{17} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.000699300699300699 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)} + 763.832442358925 \left(\left(0.000699300699300699 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 4.11353352529823 \cdot 10^{-5} \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(4.11353352529823 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{17} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.000699300699300699 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)}\]\[\sqrt{24 \cdot {w}^{17}} = i \left(- \sqrt[4]{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)}\right) - \sqrt[4]{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)} \approx - 763.832442358925 i \left(\left(0.000699300699300699 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 4.11353352529823 \cdot 10^{-5} \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(4.11353352529823 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{17} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.000699300699300699 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}\right)^{0.25} \sin{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)} - 763.832442358925 \left(\left(0.000699300699300699 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 4.11353352529823 \cdot 10^{-5} \left(\operatorname{im}{\left(w\right)}\right)^{17}\right)^{2} + \left(4.11353352529823 \cdot 10^{-5} \left(\operatorname{re}{\left(w\right)}\right)^{17} - 0.00559440559440559 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 0.0979020979020979 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 0.509090909090909 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 0.8 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 0.254545454545455 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 0.027972027972028 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 0.000699300699300699 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16}\right)^{2}\right)^{0.25} \cos{\left(\frac{\operatorname{atan_{2}}{\left(408 \left(\operatorname{re}{\left(w\right)}\right)^{16} \operatorname{im}{\left(w\right)} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{14} \left(\operatorname{im}{\left(w\right)}\right)^{3} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{12} \left(\operatorname{im}{\left(w\right)}\right)^{5} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{10} \left(\operatorname{im}{\left(w\right)}\right)^{7} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{8} \left(\operatorname{im}{\left(w\right)}\right)^{9} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{6} \left(\operatorname{im}{\left(w\right)}\right)^{11} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{4} \left(\operatorname{im}{\left(w\right)}\right)^{13} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{2} \left(\operatorname{im}{\left(w\right)}\right)^{15} + 24 \left(\operatorname{im}{\left(w\right)}\right)^{17},24 \left(\operatorname{re}{\left(w\right)}\right)^{17} - 3264 \left(\operatorname{re}{\left(w\right)}\right)^{15} \left(\operatorname{im}{\left(w\right)}\right)^{2} + 57120 \left(\operatorname{re}{\left(w\right)}\right)^{13} \left(\operatorname{im}{\left(w\right)}\right)^{4} - 297024 \left(\operatorname{re}{\left(w\right)}\right)^{11} \left(\operatorname{im}{\left(w\right)}\right)^{6} + 583440 \left(\operatorname{re}{\left(w\right)}\right)^{9} \left(\operatorname{im}{\left(w\right)}\right)^{8} - 466752 \left(\operatorname{re}{\left(w\right)}\right)^{7} \left(\operatorname{im}{\left(w\right)}\right)^{10} + 148512 \left(\operatorname{re}{\left(w\right)}\right)^{5} \left(\operatorname{im}{\left(w\right)}\right)^{12} - 16320 \left(\operatorname{re}{\left(w\right)}\right)^{3} \left(\operatorname{im}{\left(w\right)}\right)^{14} + 408 \operatorname{re}{\left(w\right)} \left(\operatorname{im}{\left(w\right)}\right)^{16} \right)}}{2} \right)}\]