International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. C. ch. 1.2, p. 7

Table 1.2.4.1 

E. Kocha

a Institut für Mineralogie, Petrologie und Kristallographie, Universität Marburg, Hans-Meerwein-Strasse, D-35032 Marburg, Germany

Table 1.2.4.1 | top | pdf |
Assignment of integers [s\le 100] to pairs h, k with [s=h^2+k^2]

Each pair h, k represents all eight pairs which result from permutation and different sign combinations.

s h k s h k s h k
1 1 0 32 4 4 68 8 2
2 1 1 34 5 3 72 6 6
4 2 0 36 6 0 73 8 3
5 2 1 37 6 1 74 7 5
8 2 2 40 6 2 80 8 4
9 3 0 41 5 4 81 9 0
10 3 1 45 6 3 82 9 1
13 3 2 49 7 0 85 9 2
16 4 0 50 7 1 7 6
17 4 1 5 5 89 8 5
18 3 3 52 6 4 90 9 3
20 4 2 53 7 2 97 9 4
25 5 0 58 7 3 98 7 7
4 3 61 6 5 100 10 0
26 5 1 64 8 0 8 6
29 5 2 65 8 1  
  7 4