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📰 \boxed{(1,1,0)} 📰 Question: For a polynomial modeling the trajectory of a seed dispersal algorithm, $z^6 + z^4 + z^2 + 1 = 0$, find the maximum imaginary part of a root expressed as $\cos \theta$, where $\theta$ is an acute angle. 📰 Solution: Factor the polynomial as $\frac{z^8 - 1}{z^2 - 1} = 0$ (excluding roots of $z^2 = 1$). The roots are the 8th roots of unity except $\pm 1$. The roots with maximum imaginary part are $e^{i\pi/4}$ and $e^{i3\pi/4}$, with imaginary part $\frac{\sqrt{2}}{2} = \cos(\pi/4)$. 📰 Vistosa Sofisticada Y Perfecta Para Toda Ocasin Los Mejores Vestidos Elegantes Que Debes Conocer 1182284 📰 Games For Online Play 843931 📰 Only This Shock Workout Fits Your Chaosevery Minute Anywhere 1106002 📰 C Spans 7187004 📰 You Wont Believe What You Can Discover With An Npi Lookup In Virginia 3218357 📰 5 In Stock Ready To Soar Last Chance To Grab Inn Stock Before It Soars 2391537 📰 Pokebattler Hacks Revealed Beat Every Trainers Weakness Instantly 576796 📰 University Of Illinois Champaign 1820295 📰 Is Spider Man 2 The Best Spider Man Movie Ever Think Again 2884960 📰 Orielly Auto Parts 7464617 📰 The Independent Sf 6866163 📰 See How A Perfect Facelift Can Change Your Lookbefore After Showdown 9867935 📰 Now For 4 Decisions One Appears Twice Two Others Once One Unused So Type 2110 Yes 5910010 📰 You Wont Believe Whats Inside Philadelphias Zip Code 19107 Secrets Exposed 9961373 📰 Rain World Renders 6513512