Inhaltsverzeichnis

Development of
Algorithmic Constructions
02:30:48
Deutsch
19.Apr 2024
33 35 37
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √17

Number p= Adjoined square root=

Calculation

A=√8
(a+bAI)² = a²-b²A² + 2abAI mod p
|(a+bAI)| = (a+bAI)(a-bAI) = a²+b²A² mod p

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29


Calculation of the metric is the distance from the point x+yAI to the point (p-1)/2+[(p-1)/2]AI
center:=(p-1)/2
if x>center then x:=p - x
if y>center then y:=p - y
diff_x:=center-x
diff_y:=center-y
metric:=diff_x^2+diff_y^2*A^2 mod p

Number = 35, Adjoined = √8, Exponent = 1, Jacobi (8, 35) = -1, 35 = 3 mod 4, 35 = 3 mod 8

34
034√8
Number of elements = 48
Number of red elements = 28
Number of elements / Number of red elements = 1.7142857142857

Number = 35, Adjoined = √8, Exponent = 1, Jacobi (8, 35) = -1, 35 = 3 mod 4, 35 = 3 mod 8

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

|34+0AI|
=1
|33+2AI|
=1
metric = 6		|33+12AI|
=1
metric = 6		|33+23AI|
=1
metric = 6		|33+33AI|
=1
metric = 6
|29+0AI|
=1
|28+8AI|
=1
metric = 2		|28+13AI|
=1
metric = 18		|28+22AI|
=1
metric = 18		|28+27AI|
=1
metric = 2
|27+7AI|
=1
metric = 6		|27+28AI|
=1
metric = 6
|26+5AI|
=1
metric = 9		|26+30AI|
=1
metric = 9
|23+2AI|
=1
metric = 6		|23+12AI|
=1
metric = 4		|23+23AI|
=1
metric = 4		|23+33AI|
=1
metric = 6
|22+7AI|
=1
metric = 12		|22+28AI|
=1
metric = 12
|21+15AI|
=1
metric = 6		|21+20AI|
=1
metric = 6
|19+5AI|
=1
metric = 3		|19+30AI|
=1
metric = 3
|16+5AI|
=1
metric = 3		|16+30AI|
=1
metric = 3
|14+15AI|
=1
metric = 6		|14+20AI|
=1
metric = 6
|13+7AI|
=1
metric = 12		|13+28AI|
=1
metric = 12
|12+2AI|
=1
metric = 6		|12+12AI|
=1
metric = 4		|12+23AI|
=1
metric = 4		|12+33AI|
=1
metric = 6
|9+5AI|
=1
metric = 9		|9+30AI|
=1
metric = 9
|8+7AI|
=1
metric = 6		|8+28AI|
=1
metric = 6
|7+8AI|
=1
metric = 2		|7+13AI|
=1
metric = 18		|7+22AI|
=1
metric = 18		|7+27AI|
=1
metric = 2
|6+0AI|
=1
|2+2AI|
=1
metric = 6		|2+12AI|
=1
metric = 6		|2+23AI|
=1
metric = 6		|2+33AI|
=1
metric = 6
|1+0AI|
=1

sum of all metrics = 312