Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 2001. Sectio Mathematicae (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 28)

NYUL, G., Power integral bases in mixed biquadratic number fields

Power integral bases in mixed biquadratic number fields 85 D

k m 1 ni / m

K X 2 ,X

3, Xi) 144 3 -1 1 1 1 1, -2, 1), (1, -1,0), (0, 1, 0), (1,-2,-1) 225 -3 5 1 2 2 0, I. -I), (0, 0, 1), (1, 0, -1), (1, 1,-1) 256 2 -1 1 1 1 0, 0, 1), (1, 0, -1) 400 -1 -5 1 1 1 O, 1, 0), (1, -1,0) 441 -1 7 3 2 2 O, 1, -1), (1, 0, 1), (1, -1, 1), (0, 0, 1) 576 -3 2 1 1 4 O, 1, -1), (0, 0, 1) 576 -1 2 3 1 3 1, 1, -1), (1, 0, -1), (1, 0, 1), (1, -1, 1) 784 7 -1 1 1 2 1, -1, O), (0, 1, 0) 1089 -1 11 3 2 4 3, -1. 2), (1, 1, -2) 1225 -7 5 1 2 6 O, 1, -1), (1, 1, -1), (1, 0, -1), (0, 0, 1) 1521 -3 13 1 2 10 2, 1, -1), (2, 0, -1), (1, 0, 1), (1, -1, 1) 1600 5 -2 1 1 4 0, 1, -I), (0, 0,1) 1600 1 -2 5 1 4 O, 1, -I), (0, 0,1) 1936 11 -1 1 1 3 1, -1, 0), (0, 1, 0) 2304 6 -1 1 1 5 O, 1, -1), (0, 1,1), (1, -1,-1), (1,1,-1) 2304 -2 3 1 1 1 1, 0, -1), (0, 0, 1) 2601 -3 17 1 2 20 O, 1, -1), (1, -1, 0), (1, 1, 0), (1, 0, -1), 2704 -1 -13 1 1 3 O, 1, 0), (1, -1, 0) 3025 -11 5 1 2 12 0, 0, 1), (0, 1, -1), (1, 1, -1), (1, 0, -1) 3136 -7 2 1 1 8 0, 1, -1), (0 0, 1) 3136 -1 2 7 1 1 1, -1, 2), (1 1,-2) 3249 -1 19 3 2 14 1, 0, -1), (2 -1, 1), (1, 1, -1), (2, 0, 1) 3600 15 -1 1 1 4 1, -1, 0), (0 1,0), (2,-4, 1), (2,-4,-1) 3600 3 -5 1 1 2 1, -1, 0), (0 1, 0) 3600 3 -1 5 1 12 0, 1, -1), (1 -1, 1), (0, 1. 1), (1, -1, -1) 4624 -1 -17 1 1 4 O, 1, 0), (1, -1,0) 4761 -1 23 3 2 8 2, -1, 1), (1 0, -1), (2. 0, 1), (1, 1,-1) 5776 19 -1 1 1 5 1, -1, 0), (0 1, 0) 5929 -1 11 7 2 4 2, -1, 2), (0 1,-2) 6400 10 -1 1 1 21 0, 1, -1), (1 1,-1), (1,-1,-1), (0, 1, 1) 6400 2 -5 1 1 3 1, 0, -1), (0 Ü, 1) 6400 2 -1 5 3 3 1, 0, -1), (0 0, 1) 7056 1 -7 3 1 18 1, -1, 0). (0 1, 0) 7056 1 -3 7 1 31 1, 0, -1), (1 0, 1) 7056 -1 -21 1 1 5 0, 1, 0), (1, -1,0) 7569 -3 29 1 2 26 3, 1, -1), (2 -1, 1), (3, 0, -1), (2, 0, 1) 7744 -11 2 1 1 12 0, 0, 1), (0, 1, -1) 7744 -1 2 11 3 3 1, -1, 2), (1 1, -2) 8281 -7 13 1 2 20 1, 1, 0), (1, -1, 0) 8464 23 -1 1 1 6 1, -1, 0), (0 1, 0) 8649 -1 31 3 2 10 2, -1, 1), (2 0, 1), (1, 0, -1), (1, 1, -1) 9025 -19 5 1 2 24 1, 1, 0), (1, -1,0)