Inhaltsverzeichnis

Development of
Algorithmic Constructions

09:52:18
Deutsch
4.Oct 2022

31 33 35
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14

Number p= Adjoined square root=

Calculation

A=√5
(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
Square 2

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 = 33, Adjoined = √5, Exponent = 2, Jacobi (5, 33) = -1, 33 = 1 mod 4, 33 = 1 mod 8

32
032√5
Number of elements = 6
Number of red elements = 4
Number of elements / Number of red elements = 1.5

Number = 33, Adjoined = √5, Exponent = 2, Jacobi (5, 33) = -1, 33 = 1 mod 4, 33 = 1 mod 8

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

href=2. root

|28+9AI|
=1
metric = 2
|28+24AI|
=1
metric = 2
|16+9AI|
=1
metric = 2
|16+24AI|
=1
metric = 2
|10+0AI|
=1
|1+0AI|
=1

sum of all metrics = 8