561 名前:ementation of certain cryptographic schemes. Our contributions. This paper takes up the challenge put forward in [3] and presents the first implementation of the Caranay?Scheidler algorithm for the 11th-power residue symbol. The contributions of this paper are three-fold: We provide explicit conditions for primary algebraic integers in Z[ζ11]; we devise an efficient algorithm for finding a primary associate; and we give explicit complementary laws for a set of four fundamental units and for the special prime 1 - ζ11.
2) 下記で(1935)の文献が参照されている。88年前だね https://people.math.carleton.ca/~williams/ KENNETH S. WILLIAMS https://people.math.carleton.ca/~williams/papers/pdf/076.pdf The cyclotomic numbers of order eleven ACTA ARITHMETICA (1975) (次数 11 の円分数) PHILIP A. LEONARD and KENNETH S. WILLIAMS References [2] L. E. Dickson, Cyclotomy, higher congruences, and Waring's problem, I, II,Amer. J. Math. 57 (1935), pp. 391-424, 463-474. (引用終り) 以上 []