This was a problem from an old qualifying exam, that I solved today, with a few pointers. First of all, is it reducible? It actually is. Note that . , as a prime element of that divides not must divide the polynomial, the Galois group of which we are looking for. The other factor of it corresponds to the multiplicative group of , which has elements. Seeing that it has elements of order and elements of order and is abelian, it must be . Thus, the answer is .
Galois group of x^10+x^5+1
Shenzhen based WeGene also gave very accurate height prediction. It's certainly possible that China had figured out this problem before Genomic…
包含其截屏链接： 祁晓亮的脸书政治言论 关于斯坦福反华反g及今年丑闻事件的知乎文章 在以上链接的知乎文章，有评论问为什么我认为祁晓亮是反华反g的。在这里我把他的脸书
Why I think Stanford professor James Landay's piece on computing in China in 2011 exposed his idiocy
I dittoed his blog post on my LiveJournal too, see https://gmachine1729.livejournal.com/175023.html. For the original, see…