n | x | y | z |
---|---|---|---|
-4 | 1 | 2 | -6 |
-4 | -1 | 3 | 6 |
-10 | 1 | 3 | -12 |
-10 | -1 | 4 | 12 |
-11 | -1 | 6 | 10 |
-12 | 4 | 35 | -84 |
-18 | 1 | 4 | -20 |
-18 | -1 | 5 | 20 |
-18 | -40 | 315 | 616 |
-19 | -3 | 14 | 66 |
-20 | -1 | 10 | 15 |
-25 | 1 | 15 | -40 |
-28 | 1 | 5 | -30 |
-28 | -1 | 6 | 30 |
-28 | -21 | 165 | 560 |
-29 | -12 | 77 | 364 |
-31 | -1 | 15 | 21 |
-32 | -15 | 136 | 440 |
-39 | -1 | 12 | 33 |
-40 | 1 | 6 | -42 |
-40 | -1 | 7 | 42 |
-44 | -1 | 21 | 28 |
-48 | 12 | 65 | -572 |
-52 | 5 | 18 | -230 |
-54 | 1 | 7 | -56 |
-54 | -1 | 8 | 56 |
-59 | -1 | 28 | 36 |
-59 | -2 | 21 | 114 |
-59 | -6 | 35 | 406 |
-67 | -15 | 348 | 740 |
-69 | -3 | 68 | 156 |
-70 | 1 | 8 | -72 |
-70 | -1 | 9 | 72 |
-70 | 9 | 275 | -900 |
-76 | -1 | 36 | 45 |
-76 | -3 | 20 | 255 |
-85 | -4 | 133 | 228 |
-88 | 1 | 9 | -90 |
-88 | -1 | 10 | 90 |
-89 | -1 | 20 | 76 |
-91 | -3 | 102 | 187 |
-95 | -1 | 45 | 55 |
(Solutions for n=0,1 are omitted)
n | x | y | z |
---|---|---|---|
11 | 1 | 2 | 3 |
11 | 3 | -28 | 60 |
14 | 2 | 3 | 10 |
15 | 1 | 3 | 6 |
15 | 12 | -165 | 340 |
18 | 2 | 3 | 15 |
18 | 2 | 10 | 15 |
26 | 1 | 6 | 14 |
29 | 2 | -15 | 78 |
30 | 10 | 77 | 165 |
31 | 1 | -12 | 44 |
34 | 1 | 6 | 21 |
35 | 3 | 10 | 65 |
37 | 2 | -35 | 110 |
52 | 5 | -464 | 720 |
55 | 1 | 14 | 35 |
57 | 6 | -35 | 435 |
59 | 2 | 15 | 85 |
63 | 5 | 119 | 170 |
64 | 1 | -40 | 104 |
67 | 5 | -68 | 420 |
71 | 4 | -33 | 348 |
73 | 1 | -20 | 95 |
74 | 5 | 22 | 270 |
84 | 2 | -78 | 247 |
85 | 5 | -138 | 570 |
86 | 3 | -336 | 592 |
100 | 5 | -56 | 595 |
Parametrized solution
n = -(k-1)(k+2)
(x, y, z) = (1, k, -k(k+1)), (-1, k+1, -k(k+1))
lcm(1, k, -k(k+1))=k(k+1)=lcm(-1, k+1, -k(k+1))
so, these two solutions are dual.
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