# Development ofAlgorithmic Constructions

 13:26:14 19.Sep 2021

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 odd number < 2000 :
 1 + 0i ^2 1 + 0i 30 + 0i ^2 1 + 0i 30 + 0i 0 + i 0 + 30i ^2 1 + 0i 30 + 0i 0 + 30i 0 + i 27 + 27i 4 + 4i 4 + 27i 27 + 4i ^2 1 + 0i 30 + 0i 0 + i 0 + 30i 27 + 4i 4 + 27i 4 + 4i 27 + 27i 13 + 7i 18 + 24i 7 + 18i 24 + 13i 24 + 18i 7 + 13i 13 + 24i 18 + 7i ^2 1 + 0i 0 + 30i 0 + i 27 + 27i 4 + 4i 4 + 27i 27 + 4i 13 + 24i 18 + 7i 24 + 18i 7 + 13i 7 + 18i 24 + 13i 18 + 24i 13 + 7i 10 + 5i 21 + 26i 5 + 21i 26 + 10i 29 + 11i 2 + 20i 11 + 2i 20 + 29i 20 + 2i 11 + 29i 2 + 11i 29 + 20i 21 + 5i 10 + 26i 26 + 21i 5 + 10i ^2 1 + 0i 30 + 0i 4 + 27i 27 + 4i 27 + 27i 4 + 4i 18 + 24i 13 + 7i 24 + 13i 7 + 18i 7 + 13i 24 + 18i 13 + 24i 18 + 7i 21 + 5i 10 + 26i 5 + 10i 26 + 21i 20 + 2i 11 + 29i 29 + 20i 2 + 11i 2 + 20i 29 + 11i 11 + 2i 20 + 29i 26 + 10i 5 + 21i 10 + 5i 21 + 26i 19 + 14i 12 + 17i 14 + 12i 17 + 19i 8 + 11i 23 + 20i 20 + 8i 11 + 23i 18 + 27i 13 + 4i 4 + 18i 27 + 13i 25 + 5i 6 + 26i 5 + 6i 26 + 25i 26 + 6i 5 + 25i 6 + 5i 25 + 26i 27 + 18i 4 + 13i 13 + 27i 18 + 4i 17 + 12i 14 + 19i 12 + 14i 19 + 17i 11 + 8i 20 + 23i 23 + 11i 8 + 20i ^3 1 + 0i 25 + 0i 5 + 0i 26 + 0i 6 + 0i 30 + 0i 27 + 27i 24 + 24i 11 + 11i 20 + 20i 7 + 7i 4 + 4i 4 + 27i 7 + 24i 20 + 11i 11 + 20i 24 + 7i 27 + 4i 20 + 15i 4 + 3i 7 + 13i 24 + 18i 27 + 28i 11 + 16i 28 + 4i 18 + 7i 16 + 20i 15 + 11i 13 + 24i 3 + 27i 3 + 4i 13 + 7i 15 + 20i 16 + 11i 18 + 24i 28 + 27i 11 + 15i 27 + 3i 24 + 13i 7 + 18i 4 + 28i 20 + 16i 24 + 10i 11 + 2i 27 + 19i 4 + 12i 20 + 29i 7 + 21i 21 + 24i 29 + 11i 12 + 27i 19 + 4i 2 + 20i 10 + 7i 5 + 21i 1 + 29i 25 + 12i 6 + 19i 30 + 2i 26 + 10i 12 + 6i 21 + 26i 29 + 30i 2 + i 10 + 5i 19 + 25i 19 + 6i 10 + 26i 2 + 30i 29 + i 21 + 5i 12 + 25i 26 + 21i 30 + 29i 6 + 12i 25 + 19i 1 + 2i 5 + 10i 10 + 24i 2 + 11i 19 + 27i 12 + 4i 29 + 20i 21 + 7i 7 + 10i 20 + 2i 4 + 19i 27 + 12i 11 + 29i 24 + 21i 1 + 5i 25 + i 5 + 25i 26 + 6i 6 + 30i 30 + 26i 26 + i 30 + 25i 6 + 5i 25 + 26i 1 + 6i 5 + 30i 18 + 4i 16 + 7i 28 + 20i 3 + 11i 15 + 24i 13 + 27i 20 + 3i 4 + 13i 7 + 15i 24 + 16i 27 + 18i 11 + 28i 23 + 29i 17 + 12i 22 + 21i 9 + 10i 14 + 19i 8 + 2i 12 + 14i 21 + 9i 29 + 8i 2 + 23i 10 + 22i 19 + 17i 27 + 14i 24 + 9i 11 + 8i 20 + 23i 7 + 22i 4 + 17i 22 + 24i 23 + 11i 17 + 27i 14 + 4i 8 + 20i 9 + 7i 9 + 24i 8 + 11i 14 + 27i 17 + 4i 23 + 20i 22 + 7i 4 + 14i 7 + 9i 20 + 8i 11 + 23i 24 + 22i 27 + 17i 19 + 14i 10 + 9i 2 + 8i 29 + 23i 21 + 22i 12 + 17i 8 + 29i 14 + 12i 9 + 21i 22 + 10i 17 + 19i 23 + 2i 5 + i 1 + 25i 25 + 5i 6 + 26i 30 + 6i 26 + 30i 30 + 5i 6 + i 26 + 25i 5 + 6i 25 + 30i 1 + 26i 11 + 3i 27 + 13i 24 + 15i 7 + 16i 4 + 18i 20 + 28i 13 + 4i 15 + 7i 3 + 20i 28 + 11i 16 + 24i 18 + 27i ^5 1 + 0i 2 + 0i 4 + 0i 8 + 0i 16 + 0i 5 + 0i 9 + 0i 10 + 0i 18 + 0i 20 + 0i 7 + 0i 14 + 0i 19 + 0i 25 + 0i 28 + 0i 3 + 0i 6 + 0i 12 + 0i 17 + 0i 24 + 0i 11 + 0i 13 + 0i 21 + 0i 22 + 0i 26 + 0i 15 + 0i 23 + 0i 27 + 0i 29 + 0i 30 + 0i 1 + i 2 + 2i 4 + 4i 8 + 8i 16 + 16i 5 + 5i 9 + 9i 10 + 10i 18 + 18i 20 + 20i 7 + 7i 14 + 14i 19 + 19i 25 + 25i 28 + 28i 3 + 3i 6 + 6i 12 + 12i 17 + 17i 24 + 24i 11 + 11i 13 + 13i 21 + 21i 22 + 22i 26 + 26i 15 + 15i 23 + 23i 27 + 27i 29 + 29i 30 + 30i 30 + i 29 + 2i 27 + 4i 23 + 8i 15 + 16i 26 + 5i 22 + 9i 21 + 10i 13 + 18i 11 + 20i 24 + 7i 17 + 14i 12 + 19i 6 + 25i 3 + 28i 28 + 3i 25 + 6i 19 + 12i 14 + 17i 7 + 24i 20 + 11i 18 + 13i 10 + 21i 9 + 22i 5 + 26i 16 + 15i 8 + 23i 4 + 27i 2 + 29i 1 + 30i 7 + i 14 + 2i 28 + 4i 25 + 8i 19 + 16i 4 + 5i 1 + 9i 8 + 10i 2 + 18i 16 + 20i 18 + 7i 5 + 14i 9 + 19i 20 + 25i 10 + 28i 21 + 3i 11 + 6i 22 + 12i 26 + 17i 13 + 24i 15 + 11i 29 + 13i 23 + 21i 30 + 22i 27 + 26i 12 + 15i 6 + 23i 3 + 27i 17 + 29i 24 + 30i 22 + i 13 + 2i 26 + 4i 21 + 8i 11 + 16i 17 + 5i 12 + 9i 3 + 10i 24 + 18i 6 + 20i 30 + 7i 29 + 14i 15 + 19i 23 + 25i 27 + 28i 4 + 3i 8 + 6i 16 + 12i 2 + 17i 1 + 24i 25 + 11i 7 + 13i 28 + 21i 19 + 22i 14 + 26i 20 + 15i 10 + 23i 5 + 27i 18 + 29i 9 + 30i 9 + i 18 + 2i 5 + 4i 10 + 8i 20 + 16i 14 + 5i 19 + 9i 28 + 10i 7 + 18i 25 + 20i 1 + 7i 2 + 14i 16 + 19i 8 + 25i 4 + 28i 27 + 3i 23 + 6i 15 + 12i 29 + 17i 30 + 24i 6 + 11i 24 + 13i 3 + 21i 12 + 22i 17 + 26i 11 + 15i 21 + 23i 26 + 27i 13 + 29i 22 + 30i 24 + i 17 + 2i 3 + 4i 6 + 8i 12 + 16i 27 + 5i 30 + 9i 23 + 10i 29 + 18i 15 + 20i 13 + 7i 26 + 14i 22 + 19i 11 + 25i 21 + 28i 10 + 3i 20 + 6i 9 + 12i 5 + 17i 18 + 24i 16 + 11i 2 + 13i 8 + 21i 1 + 22i 4 + 26i 19 + 15i 25 + 23i 28 + 27i 14 + 29i 7 + 30i 2 + i 4 + 2i 8 + 4i 16 + 8i 1 + 16i 10 + 5i 18 + 9i 20 + 10i 5 + 18i 9 + 20i 14 + 7i 28 + 14i 7 + 19i 19 + 25i 25 + 28i 6 + 3i 12 + 6i 24 + 12i 3 + 17i 17 + 24i 22 + 11i 26 + 13i 11 + 21i 13 + 22i 21 + 26i 30 + 15i 15 + 23i 23 + 27i 27 + 29i 29 + 30i 15 + i 30 + 2i 29 + 4i 27 + 8i 23 + 16i 13 + 5i 11 + 9i 26 + 10i 22 + 18i 21 + 20i 12 + 7i 24 + 14i 6 + 19i 3 + 25i 17 + 28i 14 + 3i 28 + 6i 25 + 12i 7 + 17i 19 + 24i 10 + 11i 9 + 13i 5 + 21i 20 + 22i 18 + 26i 8 + 15i 4 + 23i 2 + 27i 1 + 29i 16 + 30i 21 + i 11 + 2i 22 + 4i 13 + 8i 26 + 16i 12 + 5i 3 + 9i 24 + 10i 6 + 18i 17 + 20i 23 + 7i 15 + 14i 27 + 19i 29 + 25i 30 + 28i 1 + 3i 2 + 6i 4 + 12i 16 + 17i 8 + 24i 14 + 11i 25 + 13i 7 + 21i 28 + 22i 19 + 26i 5 + 15i 18 + 23i 9 + 27i 20 + 29i 10 + 30i 28 + i 25 + 2i 19 + 4i 7 + 8i 14 + 16i 16 + 5i 4 + 9i 1 + 10i 8 + 18i 2 + 20i 10 + 7i 20 + 14i 5 + 19i 18 + 25i 9 + 28i 22 + 3i 13 + 6i 26 + 12i 11 + 17i 21 + 24i 29 + 11i 23 + 13i 30 + 21i 27 + 22i 15 + 26i 17 + 15i 24 + 23i 12 + 27i 6 + 29i 3 + 30i 3 + i 6 + 2i 12 + 4i 24 + 8i 17 + 16i 15 + 5i 27 + 9i 30 + 10i 23 + 18i 29 + 20i 21 + 7i 11 + 14i 26 + 19i 13 + 25i 22 + 28i 9 + 3i 18 + 6i 5 + 12i 20 + 17i 10 + 24i 2 + 11i 8 + 13i 1 + 21i 4 + 22i 16 + 26i 14 + 15i 7 + 23i 19 + 27i 25 + 29i 28 + 30i 10 + i 20 + 2i 9 + 4i 18 + 8i 5 + 16i 19 + 5i 28 + 9i 7 + 10i 25 + 18i 14 + 20i 8 + 7i 16 + 14i 4 + 19i 2 + 25i 1 + 28i 30 + 3i 29 + 6i 27 + 12i 15 + 17i 23 + 24i 17 + 11i 6 + 13i 24 + 21i 3 + 22i 12 + 26i 26 + 15i 13 + 23i 22 + 27i 11 + 29i 21 + 30i 16 + i 1 + 2i 2 + 4i 4 + 8i 8 + 16i 18 + 5i 20 + 9i 5 + 10i 9 + 18i 10 + 20i 19 + 7i 7 + 14i 25 + 19i 28 + 25i 14 + 28i 17 + 3i 3 + 6i 6 + 12i 24 + 17i 12 + 24i 21 + 11i 22 + 13i 26 + 21i 11 + 22i 13 + 26i 23 + 15i 27 + 23i 29 + 27i 30 + 29i 15 + 30i 29 + i 27 + 2i 23 + 4i 15 + 8i 30 + 16i 21 + 5i 13 + 9i 11 + 10i 26 + 18i 22 + 20i 17 + 7i 3 + 14i 24 + 19i 12 + 25i 6 + 28i 25 + 3i 19 + 6i 7 + 12i 28 + 17i 14 + 24i 9 + 11i 5 + 13i 20 + 21i 18 + 22i 10 + 26i 1 + 15i 16 + 23i 8 + 27i 4 + 29i 2 + 30i 4 + i 8 + 2i 16 + 4i 1 + 8i 2 + 16i 20 + 5i 5 + 9i 9 + 10i 10 + 18i 18 + 20i 28 + 7i 25 + 14i 14 + 19i 7 + 25i 19 + 28i 12 + 3i 24 + 6i 17 + 12i 6 + 17i 3 + 24i 13 + 11i 21 + 13i 22 + 21i 26 + 22i 11 + 26i 29 + 15i 30 + 23i 15 + 27i 23 + 29i 27 + 30i 23 + i 15 + 2i 30 + 4i 29 + 8i 27 + 16i 22 + 5i 21 + 9i 13 + 10i 11 + 18i 26 + 20i 6 + 7i 12 + 14i 3 + 19i 17 + 25i 24 + 28i 7 + 3i 14 + 6i 28 + 12i 19 + 17i 25 + 24i 5 + 11i 20 + 13i 18 + 21i 10 + 22i 9 + 26i 4 + 15i 2 + 23i 1 + 27i 16 + 29i 8 + 30i 13 + i 26 + 2i 21 + 4i 11 + 8i 22 + 16i 3 + 5i 24 + 9i 6 + 10i 17 + 18i 12 + 20i 29 + 7i 27 + 14i 30 + 19i 15 + 25i 23 + 28i 8 + 3i 16 + 6i 1 + 12i 4 + 17i 2 + 24i 19 + 11i 14 + 13i 25 + 21i 7 + 22i 28 + 26i 9 + 15i 20 + 23i 10 + 27i 5 + 29i 18 + 30i 19 + i 7 + 2i 14 + 4i 28 + 8i 25 + 16i 2 + 5i 16 + 9i 4 + 10i 1 + 18i 8 + 20i 9 + 7i 18 + 14i 20 + 19i 10 + 25i 5 + 28i 26 + 3i 21 + 6i 11 + 12i 13 + 17i 22 + 24i 23 + 11i 30 + 13i 27 + 21i 15 + 22i 29 + 26i 6 + 15i 3 + 23i 17 + 27i 24 + 29i 12 + 30i 17 + i 3 + 2i 6 + 4i 12 + 8i 24 + 16i 23 + 5i 29 + 9i 15 + 10i 27 + 18i 30 + 20i 26 + 7i 21 + 14i 13 + 19i 22 + 25i 11 + 28i 20 + 3i 9 + 6i 18 + 12i 10 + 17i 5 + 24i 1 + 11i 4 + 13i 16 + 21i 2 + 22i 8 + 26i 7 + 15i 19 + 23i 25 + 27i 28 + 29i 14 + 30i 20 + i 9 + 2i 18 + 4i 5 + 8i 10 + 16i 7 + 5i 25 + 9i 14 + 10i 19 + 18i 28 + 20i 16 + 7i 1 + 14i 8 + 19i 4 + 25i 2 + 28i 29 + 3i 27 + 6i 23 + 12i 30 + 17i 15 + 24i 3 + 11i 12 + 13i 17 + 21i 6 + 22i 24 + 26i 21 + 15i 26 + 23i 13 + 27i 22 + 29i 11 + 30i 25 + i 19 + 2i 7 + 4i 14 + 8i 28 + 16i 1 + 5i 8 + 9i 2 + 10i 16 + 18i 4 + 20i 20 + 7i 9 + 14i 10 + 19i 5 + 25i 18 + 28i 13 + 3i 26 + 6i 21 + 12i 22 + 17i 11 + 24i 27 + 11i 15 + 13i 29 + 21i 23 + 22i 30 + 26i 3 + 15i 17 + 23i 24 + 27i 12 + 29i 6 + 30i 26 + i 21 + 2i 11 + 4i 22 + 8i 13 + 16i 6 + 5i 17 + 9i 12 + 10i 3 + 18i 24 + 20i 27 + 7i 23 + 14i 29 + 19i 30 + 25i 15 + 28i 16 + 3i 1 + 6i 2 + 12i 8 + 17i 4 + 24i 7 + 11i 28 + 13i 19 + 21i 14 + 22i 25 + 26i 18 + 15i 9 + 23i 20 + 27i 10 + 29i 5 + 30i 5 + i 10 + 2i 20 + 4i 9 + 8i 18 + 16i 25 + 5i 14 + 9i 19 + 10i 28 + 18i 7 + 20i 4 + 7i 8 + 14i 2 + 19i 1 + 25i 16 + 28i 15 + 3i 30 + 6i 29 + 12i 23 + 17i 27 + 24i 24 + 11i 3 + 13i 12 + 21i 17 + 22i 6 + 26i 13 + 15i 22 + 23i 11 + 27i 21 + 29i 26 + 30i 6 + i 12 + 2i 24 + 4i 17 + 8i 3 + 16i 30 + 5i 23 + 9i 29 + 10i 15 + 18i 27 + 20i 11 + 7i 22 + 14i 21 + 19i 26 + 25i 13 + 28i 18 + 3i 5 + 6i 10 + 12i 9 + 17i 20 + 24i 4 + 11i 16 + 13i 2 + 21i 8 + 22i 1 + 26i 28 + 15i 14 + 23i 7 + 27i 19 + 29i 25 + 30i 11 + i 22 + 2i 13 + 4i 26 + 8i 21 + 16i 24 + 5i 6 + 9i 17 + 10i 12 + 18i 3 + 20i 15 + 7i 30 + 14i 23 + 19i 27 + 25i 29 + 28i 2 + 3i 4 + 6i 8 + 12i 1 + 17i 16 + 24i 28 + 11i 19 + 13i 14 + 21i 25 + 22i 7 + 26i 10 + 15i 5 + 23i 18 + 27i 9 + 29i 20 + 30i 14 + i 28 + 2i 25 + 4i 19 + 8i 7 + 16i 8 + 5i 2 + 9i 16 + 10i 4 + 18i 1 + 20i 5 + 7i 10 + 14i 18 + 19i 9 + 25i 20 + 28i 11 + 3i 22 + 6i 13 + 12i 21 + 17i 26 + 24i 30 + 11i 27 + 13i 15 + 21i 29 + 22i 23 + 26i 24 + 15i 12 + 23i 6 + 27i 3 + 29i 17 + 30i 8 + i 16 + 2i 1 + 4i 2 + 8i 4 + 16i 9 + 5i 10 + 9i 18 + 10i 20 + 18i 5 + 20i 25 + 7i 19 + 14i 28 + 19i 14 + 25i 7 + 28i 24 + 3i 17 + 6i 3 + 12i 12 + 17i 6 + 24i 26 + 11i 11 + 13i 13 + 21i 21 + 22i 22 + 26i 27 + 15i 29 + 23i 30 + 27i 15 + 29i 23 + 30i 27 + i 23 + 2i 15 + 4i 30 + 8i 29 + 16i 11 + 5i 26 + 9i 22 + 10i 21 + 18i 13 + 20i 3 + 7i 6 + 14i 17 + 19i 24 + 25i 12 + 28i 19 + 3i 7 + 6i 14 + 12i 25 + 17i 28 + 24i 18 + 11i 10 + 13i 9 + 21i 5 + 22i 20 + 26i 2 + 15i 1 + 23i 16 + 27i 8 + 29i 4 + 30i 12 + i 24 + 2i 17 + 4i 3 + 8i 6 + 16i 29 + 5i 15 + 9i 27 + 10i 30 + 18i 23 + 20i 22 + 7i 13 + 14i 11 + 19i 21 + 25i 26 + 28i 5 + 3i 10 + 6i 20 + 12i 18 + 17i 9 + 24i 8 + 11i 1 + 13i 4 + 21i 16 + 22i 2 + 26i 25 + 15i 28 + 23i 14 + 27i 7 + 29i 19 + 30i 18 + i 5 + 2i 10 + 4i 20 + 8i 9 + 16i 28 + 5i 7 + 9i 25 + 10i 14 + 18i 19 + 20i 2 + 7i 4 + 14i 1 + 19i 16 + 25i 8 + 28i 23 + 3i 15 + 6i 30 + 12i 27 + 17i 29 + 24i 12 + 11i 17 + 13i 6 + 21i 24 + 22i 3 + 26i 22 + 15i 11 + 23i 21 + 27i 26 + 29i 13 + 30i

The complex number are calculated by exponentation from the botton to the top modulo the input number.

The green elements a+bi are quadratic residues and have jacobi (a²+b², f)=1
The red elements a+bi are non quadratic residues and have jacobi (a²+b², f)=-1
The cyan elements a+bi have jacobi (a²+b², f)=0