ACM Communications in Computer Algebra, Vol. 42, No. 2, June 2008 Poster Abstracts Poster Abstracts from the Eighth Algorithmic Number Theory Symposium, ANTS-8 Communicated by Jonathan Sorenson Computer Science and Software Engineering Butler University Indianapolis, Indiana, 46208 USA sorenson@butler.edu http://www.butler.edu/~sorenson Abstract The following twelve poster abstracts were presented at the ANTS-8 poster session.1 ANTS-8 was held at the Ban Centre in Ban , Alberta Canada, May 17â22, 2008. The conference website, where many of the posters can be viewed online, is http://ants.math. ucalgary.ca/. Calculating Really Big Cyclotomic Polynomials Andrew Arnold and Michael Monagan, Simon Fraser University, ada26@ sfu.ca The nth cyclotomic polynomial, n (z), is the monic polynomial whose (n) distinct roots are the nth complex primitive roots of unity. That is, n (z) = (z e 0 ¤k<n gcd(k,n)=1 2Ïi k n ) The rst ten cyclotomic polynomials are as follows: 1 (z) = z 1 2 (z) = z + 1 3 (z) = z 2 + z + 1 4 (z) = z 2 + 1 5 (z) = z 4 + z 3 + z 2 + z + 1 6 (z) = z 2 z + 1 7 (z)
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