Inhaltsverzeichnis

Development of
Algorithmic Constructions

13:26:14
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19.Sep 2021

<< 29 31 37 >>

odd number < 2000 :
1 + 0i
^21 + 0i30 + 0i
^21 + 0i30 + 0i0 + i0 + 30i
^21 + 0i30 + 0i0 + 30i0 + i27 + 27i4 + 4i4 + 27i27 + 4i
^21 + 0i30 + 0i0 + i0 + 30i27 + 4i4 + 27i4 + 4i27 + 27i13 + 7i18 + 24i7 + 18i24 + 13i24 + 18i7 + 13i13 + 24i18 + 7i
^21 + 0i0 + 30i0 + i27 + 27i4 + 4i4 + 27i27 + 4i13 + 24i18 + 7i24 + 18i7 + 13i7 + 18i24 + 13i18 + 24i13 + 7i10 + 5i21 + 26i5 + 21i26 + 10i29 + 11i2 + 20i11 + 2i20 + 29i20 + 2i11 + 29i2 + 11i29 + 20i21 + 5i10 + 26i26 + 21i5 + 10i
^21 + 0i30 + 0i4 + 27i27 + 4i27 + 27i4 + 4i18 + 24i13 + 7i24 + 13i7 + 18i7 + 13i24 + 18i13 + 24i18 + 7i21 + 5i10 + 26i5 + 10i26 + 21i20 + 2i11 + 29i29 + 20i2 + 11i2 + 20i29 + 11i11 + 2i20 + 29i26 + 10i5 + 21i10 + 5i21 + 26i19 + 14i12 + 17i14 + 12i17 + 19i8 + 11i23 + 20i20 + 8i11 + 23i18 + 27i13 + 4i4 + 18i27 + 13i25 + 5i6 + 26i5 + 6i26 + 25i26 + 6i5 + 25i6 + 5i25 + 26i27 + 18i4 + 13i13 + 27i18 + 4i17 + 12i14 + 19i12 + 14i19 + 17i11 + 8i20 + 23i23 + 11i8 + 20i
^31 + 0i25 + 0i5 + 0i26 + 0i6 + 0i30 + 0i27 + 27i24 + 24i11 + 11i20 + 20i7 + 7i4 + 4i4 + 27i7 + 24i20 + 11i11 + 20i24 + 7i27 + 4i20 + 15i4 + 3i7 + 13i24 + 18i27 + 28i11 + 16i28 + 4i18 + 7i16 + 20i15 + 11i13 + 24i3 + 27i3 + 4i13 + 7i15 + 20i16 + 11i18 + 24i28 + 27i11 + 15i27 + 3i24 + 13i7 + 18i4 + 28i20 + 16i24 + 10i11 + 2i27 + 19i4 + 12i20 + 29i7 + 21i21 + 24i29 + 11i12 + 27i19 + 4i2 + 20i10 + 7i5 + 21i1 + 29i25 + 12i6 + 19i30 + 2i26 + 10i12 + 6i21 + 26i29 + 30i2 + i10 + 5i19 + 25i19 + 6i10 + 26i2 + 30i29 + i21 + 5i12 + 25i26 + 21i30 + 29i6 + 12i25 + 19i1 + 2i5 + 10i10 + 24i2 + 11i19 + 27i12 + 4i29 + 20i21 + 7i7 + 10i20 + 2i4 + 19i27 + 12i11 + 29i24 + 21i1 + 5i25 + i5 + 25i26 + 6i6 + 30i30 + 26i26 + i30 + 25i6 + 5i25 + 26i1 + 6i5 + 30i18 + 4i16 + 7i28 + 20i3 + 11i15 + 24i13 + 27i20 + 3i4 + 13i7 + 15i24 + 16i27 + 18i11 + 28i23 + 29i17 + 12i22 + 21i9 + 10i14 + 19i8 + 2i12 + 14i21 + 9i29 + 8i2 + 23i10 + 22i19 + 17i27 + 14i24 + 9i11 + 8i20 + 23i7 + 22i4 + 17i22 + 24i23 + 11i17 + 27i14 + 4i8 + 20i9 + 7i9 + 24i8 + 11i14 + 27i17 + 4i23 + 20i22 + 7i4 + 14i7 + 9i20 + 8i11 + 23i24 + 22i27 + 17i19 + 14i10 + 9i2 + 8i29 + 23i21 + 22i12 + 17i8 + 29i14 + 12i9 + 21i22 + 10i17 + 19i23 + 2i5 + i1 + 25i25 + 5i6 + 26i30 + 6i26 + 30i30 + 5i6 + i26 + 25i5 + 6i25 + 30i1 + 26i11 + 3i27 + 13i24 + 15i7 + 16i4 + 18i20 + 28i13 + 4i15 + 7i3 + 20i28 + 11i16 + 24i18 + 27i
^51 + 0i2 + 0i4 + 0i8 + 0i16 + 0i5 + 0i9 + 0i10 + 0i18 + 0i20 + 0i7 + 0i14 + 0i19 + 0i25 + 0i28 + 0i3 + 0i6 + 0i12 + 0i17 + 0i24 + 0i11 + 0i13 + 0i21 + 0i22 + 0i26 + 0i15 + 0i23 + 0i27 + 0i29 + 0i30 + 0i1 + i2 + 2i4 + 4i8 + 8i16 + 16i5 + 5i9 + 9i10 + 10i18 + 18i20 + 20i7 + 7i14 + 14i19 + 19i25 + 25i28 + 28i3 + 3i6 + 6i12 + 12i17 + 17i24 + 24i11 + 11i13 + 13i21 + 21i22 + 22i26 + 26i15 + 15i23 + 23i27 + 27i29 + 29i30 + 30i30 + i29 + 2i27 + 4i23 + 8i15 + 16i26 + 5i22 + 9i21 + 10i13 + 18i11 + 20i24 + 7i17 + 14i12 + 19i6 + 25i3 + 28i28 + 3i25 + 6i19 + 12i14 + 17i7 + 24i20 + 11i18 + 13i10 + 21i9 + 22i5 + 26i16 + 15i8 + 23i4 + 27i2 + 29i1 + 30i7 + i14 + 2i28 + 4i25 + 8i19 + 16i4 + 5i1 + 9i8 + 10i2 + 18i16 + 20i18 + 7i5 + 14i9 + 19i20 + 25i10 + 28i21 + 3i11 + 6i22 + 12i26 + 17i13 + 24i15 + 11i29 + 13i23 + 21i30 + 22i27 + 26i12 + 15i6 + 23i3 + 27i17 + 29i24 + 30i22 + i13 + 2i26 + 4i21 + 8i11 + 16i17 + 5i12 + 9i3 + 10i24 + 18i6 + 20i30 + 7i29 + 14i15 + 19i23 + 25i27 + 28i4 + 3i8 + 6i16 + 12i2 + 17i1 + 24i25 + 11i7 + 13i28 + 21i19 + 22i14 + 26i20 + 15i10 + 23i5 + 27i18 + 29i9 + 30i9 + i18 + 2i5 + 4i10 + 8i20 + 16i14 + 5i19 + 9i28 + 10i7 + 18i25 + 20i1 + 7i2 + 14i16 + 19i8 + 25i4 + 28i27 + 3i23 + 6i15 + 12i29 + 17i30 + 24i6 + 11i24 + 13i3 + 21i12 + 22i17 + 26i11 + 15i21 + 23i26 + 27i13 + 29i22 + 30i24 + i17 + 2i3 + 4i6 + 8i12 + 16i27 + 5i30 + 9i23 + 10i29 + 18i15 + 20i13 + 7i26 + 14i22 + 19i11 + 25i21 + 28i10 + 3i20 + 6i9 + 12i5 + 17i18 + 24i16 + 11i2 + 13i8 + 21i1 + 22i4 + 26i19 + 15i25 + 23i28 + 27i14 + 29i7 + 30i2 + i4 + 2i8 + 4i16 + 8i1 + 16i10 + 5i18 + 9i20 + 10i5 + 18i9 + 20i14 + 7i28 + 14i7 + 19i19 + 25i25 + 28i6 + 3i12 + 6i24 + 12i3 + 17i17 + 24i22 + 11i26 + 13i11 + 21i13 + 22i21 + 26i30 + 15i15 + 23i23 + 27i27 + 29i29 + 30i15 + i30 + 2i29 + 4i27 + 8i23 + 16i13 + 5i11 + 9i26 + 10i22 + 18i21 + 20i12 + 7i24 + 14i6 + 19i3 + 25i17 + 28i14 + 3i28 + 6i25 + 12i7 + 17i19 + 24i10 + 11i9 + 13i5 + 21i20 + 22i18 + 26i8 + 15i4 + 23i2 + 27i1 + 29i16 + 30i21 + i11 + 2i22 + 4i13 + 8i26 + 16i12 + 5i3 + 9i24 + 10i6 + 18i17 + 20i23 + 7i15 + 14i27 + 19i29 + 25i30 + 28i1 + 3i2 + 6i4 + 12i16 + 17i8 + 24i14 + 11i25 + 13i7 + 21i28 + 22i19 + 26i5 + 15i18 + 23i9 + 27i20 + 29i10 + 30i28 + i25 + 2i19 + 4i7 + 8i14 + 16i16 + 5i4 + 9i1 + 10i8 + 18i2 + 20i10 + 7i20 + 14i5 + 19i18 + 25i9 + 28i22 + 3i13 + 6i26 + 12i11 + 17i21 + 24i29 + 11i23 + 13i30 + 21i27 + 22i15 + 26i17 + 15i24 + 23i12 + 27i6 + 29i3 + 30i3 + i6 + 2i12 + 4i24 + 8i17 + 16i15 + 5i27 + 9i30 + 10i23 + 18i29 + 20i21 + 7i11 + 14i26 + 19i13 + 25i22 + 28i9 + 3i18 + 6i5 + 12i20 + 17i10 + 24i2 + 11i8 + 13i1 + 21i4 + 22i16 + 26i14 + 15i7 + 23i19 + 27i25 + 29i28 + 30i10 + i20 + 2i9 + 4i18 + 8i5 + 16i19 + 5i28 + 9i7 + 10i25 + 18i14 + 20i8 + 7i16 + 14i4 + 19i2 + 25i1 + 28i30 + 3i29 + 6i27 + 12i15 + 17i23 + 24i17 + 11i6 + 13i24 + 21i3 + 22i12 + 26i26 + 15i13 + 23i22 + 27i11 + 29i21 + 30i16 + i1 + 2i2 + 4i4 + 8i8 + 16i18 + 5i20 + 9i5 + 10i9 + 18i10 + 20i19 + 7i7 + 14i25 + 19i28 + 25i14 + 28i17 + 3i3 + 6i6 + 12i24 + 17i12 + 24i21 + 11i22 + 13i26 + 21i11 + 22i13 + 26i23 + 15i27 + 23i29 + 27i30 + 29i15 + 30i29 + i27 + 2i23 + 4i15 + 8i30 + 16i21 + 5i13 + 9i11 + 10i26 + 18i22 + 20i17 + 7i3 + 14i24 + 19i12 + 25i6 + 28i25 + 3i19 + 6i7 + 12i28 + 17i14 + 24i9 + 11i5 + 13i20 + 21i18 + 22i10 + 26i1 + 15i16 + 23i8 + 27i4 + 29i2 + 30i4 + i8 + 2i16 + 4i1 + 8i2 + 16i20 + 5i5 + 9i9 + 10i10 + 18i18 + 20i28 + 7i25 + 14i14 + 19i7 + 25i19 + 28i12 + 3i24 + 6i17 + 12i6 + 17i3 + 24i13 + 11i21 + 13i22 + 21i26 + 22i11 + 26i29 + 15i30 + 23i15 + 27i23 + 29i27 + 30i23 + i15 + 2i30 + 4i29 + 8i27 + 16i22 + 5i21 + 9i13 + 10i11 + 18i26 + 20i6 + 7i12 + 14i3 + 19i17 + 25i24 + 28i7 + 3i14 + 6i28 + 12i19 + 17i25 + 24i5 + 11i20 + 13i18 + 21i10 + 22i9 + 26i4 + 15i2 + 23i1 + 27i16 + 29i8 + 30i13 + i26 + 2i21 + 4i11 + 8i22 + 16i3 + 5i24 + 9i6 + 10i17 + 18i12 + 20i29 + 7i27 + 14i30 + 19i15 + 25i23 + 28i8 + 3i16 + 6i1 + 12i4 + 17i2 + 24i19 + 11i14 + 13i25 + 21i7 + 22i28 + 26i9 + 15i20 + 23i10 + 27i5 + 29i18 + 30i19 + i7 + 2i14 + 4i28 + 8i25 + 16i2 + 5i16 + 9i4 + 10i1 + 18i8 + 20i9 + 7i18 + 14i20 + 19i10 + 25i5 + 28i26 + 3i21 + 6i11 + 12i13 + 17i22 + 24i23 + 11i30 + 13i27 + 21i15 + 22i29 + 26i6 + 15i3 + 23i17 + 27i24 + 29i12 + 30i17 + i3 + 2i6 + 4i12 + 8i24 + 16i23 + 5i29 + 9i15 + 10i27 + 18i30 + 20i26 + 7i21 + 14i13 + 19i22 + 25i11 + 28i20 + 3i9 + 6i18 + 12i10 + 17i5 + 24i1 + 11i4 + 13i16 + 21i2 + 22i8 + 26i7 + 15i19 + 23i25 + 27i28 + 29i14 + 30i20 + i9 + 2i18 + 4i5 + 8i10 + 16i7 + 5i25 + 9i14 + 10i19 + 18i28 + 20i16 + 7i1 + 14i8 + 19i4 + 25i2 + 28i29 + 3i27 + 6i23 + 12i30 + 17i15 + 24i3 + 11i12 + 13i17 + 21i6 + 22i24 + 26i21 + 15i26 + 23i13 + 27i22 + 29i11 + 30i25 + i19 + 2i7 + 4i14 + 8i28 + 16i1 + 5i8 + 9i2 + 10i16 + 18i4 + 20i20 + 7i9 + 14i10 + 19i5 + 25i18 + 28i13 + 3i26 + 6i21 + 12i22 + 17i11 + 24i27 + 11i15 + 13i29 + 21i23 + 22i30 + 26i3 + 15i17 + 23i24 + 27i12 + 29i6 + 30i26 + i21 + 2i11 + 4i22 + 8i13 + 16i6 + 5i17 + 9i12 + 10i3 + 18i24 + 20i27 + 7i23 + 14i29 + 19i30 + 25i15 + 28i16 + 3i1 + 6i2 + 12i8 + 17i4 + 24i7 + 11i28 + 13i19 + 21i14 + 22i25 + 26i18 + 15i9 + 23i20 + 27i10 + 29i5 + 30i5 + i10 + 2i20 + 4i9 + 8i18 + 16i25 + 5i14 + 9i19 + 10i28 + 18i7 + 20i4 + 7i8 + 14i2 + 19i1 + 25i16 + 28i15 + 3i30 + 6i29 + 12i23 + 17i27 + 24i24 + 11i3 + 13i12 + 21i17 + 22i6 + 26i13 + 15i22 + 23i11 + 27i21 + 29i26 + 30i6 + i12 + 2i24 + 4i17 + 8i3 + 16i30 + 5i23 + 9i29 + 10i15 + 18i27 + 20i11 + 7i22 + 14i21 + 19i26 + 25i13 + 28i18 + 3i5 + 6i10 + 12i9 + 17i20 + 24i4 + 11i16 + 13i2 + 21i8 + 22i1 + 26i28 + 15i14 + 23i7 + 27i19 + 29i25 + 30i11 + i22 + 2i13 + 4i26 + 8i21 + 16i24 + 5i6 + 9i17 + 10i12 + 18i3 + 20i15 + 7i30 + 14i23 + 19i27 + 25i29 + 28i2 + 3i4 + 6i8 + 12i1 + 17i16 + 24i28 + 11i19 + 13i14 + 21i25 + 22i7 + 26i10 + 15i5 + 23i18 + 27i9 + 29i20 + 30i14 + i28 + 2i25 + 4i19 + 8i7 + 16i8 + 5i2 + 9i16 + 10i4 + 18i1 + 20i5 + 7i10 + 14i18 + 19i9 + 25i20 + 28i11 + 3i22 + 6i13 + 12i21 + 17i26 + 24i30 + 11i27 + 13i15 + 21i29 + 22i23 + 26i24 + 15i12 + 23i6 + 27i3 + 29i17 + 30i8 + i16 + 2i1 + 4i2 + 8i4 + 16i9 + 5i10 + 9i18 + 10i20 + 18i5 + 20i25 + 7i19 + 14i28 + 19i14 + 25i7 + 28i24 + 3i17 + 6i3 + 12i12 + 17i6 + 24i26 + 11i11 + 13i13 + 21i21 + 22i22 + 26i27 + 15i29 + 23i30 + 27i15 + 29i23 + 30i27 + i23 + 2i15 + 4i30 + 8i29 + 16i11 + 5i26 + 9i22 + 10i21 + 18i13 + 20i3 + 7i6 + 14i17 + 19i24 + 25i12 + 28i19 + 3i7 + 6i14 + 12i25 + 17i28 + 24i18 + 11i10 + 13i9 + 21i5 + 22i20 + 26i2 + 15i1 + 23i16 + 27i8 + 29i4 + 30i12 + i24 + 2i17 + 4i3 + 8i6 + 16i29 + 5i15 + 9i27 + 10i30 + 18i23 + 20i22 + 7i13 + 14i11 + 19i21 + 25i26 + 28i5 + 3i10 + 6i20 + 12i18 + 17i9 + 24i8 + 11i1 + 13i4 + 21i16 + 22i2 + 26i25 + 15i28 + 23i14 + 27i7 + 29i19 + 30i18 + i5 + 2i10 + 4i20 + 8i9 + 16i28 + 5i7 + 9i25 + 10i14 + 18i19 + 20i2 + 7i4 + 14i1 + 19i16 + 25i8 + 28i23 + 3i15 + 6i30 + 12i27 + 17i29 + 24i12 + 11i17 + 13i6 + 21i24 + 22i3 + 26i22 + 15i11 + 23i21 + 27i26 + 29i13 + 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