Inhaltsverzeichnis

Development of
Algorithmic Constructions

08:09:30
Deutsch
4.Oct 2022

31 33 35
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15

Number p= Adjoined square root=

Calculation

A=√6
(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 = 33, Adjoined = √6, Exponent = 1, Jacobi (6, 33) = -1, 33 = 1 mod 4, 33 = 1 mod 8

32
032√6
Number of elements = 60
Number of red elements = 24
Number of elements / Number of red elements = 2.5

Number = 33, Adjoined = √6, Exponent = 1, Jacobi (6, 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

|32+0AI|
=1
|32+11AI|
=1
metric = 2
|32+22AI|
=1
metric = 2
|31+4AI|
=1
metric = 2
|31+7AI|
=1
metric = 2
|31+15AI|
=1
metric = 2
|31+18AI|
=1
metric = 2
|31+26AI|
=1
metric = 2
|31+29AI|
=1
metric = 2
|29+5AI|
=1
metric = 2
|29+6AI|
=1
metric = 2
|29+16AI|
=1
metric = 2
|29+17AI|
=1
metric = 2
|29+27AI|
=1
metric = 2
|29+28AI|
=1
metric = 2
|26+5AI|
=1
metric = 2
|26+6AI|
=1
metric = 2
|26+16AI|
=1
metric = 2
|26+17AI|
=1
metric = 2
|26+27AI|
=1
metric = 2
|26+28AI|
=1
metric = 2
|23+0AI|
=1
|23+11AI|
=1
metric = 2
|23+22AI|
=1
metric = 2
|20+4AI|
=1
metric = 2
|20+7AI|
=1
metric = 1
|20+15AI|
=1
metric = 2
|20+18AI|
=1
metric = 2
|20+26AI|
=1
metric = 1
|20+29AI|
=1
metric = 2
|13+4AI|
=1
metric = 2
|13+7AI|
=1
metric = 1
|13+15AI|
=1
metric = 2
|13+18AI|
=1
metric = 2
|13+26AI|
=1
metric = 1
|13+29AI|
=1
metric = 2
|10+0AI|
=1
|10+11AI|
=1
metric = 2
|10+22AI|
=1
metric = 2
|7+5AI|
=1
metric = 2
|7+6AI|
=1
metric = 2
|7+16AI|
=1
metric = 2
|7+17AI|
=1
metric = 2
|7+27AI|
=1
metric = 2
|7+28AI|
=1
metric = 2
|4+5AI|
=1
metric = 2
|4+6AI|
=1
metric = 2
|4+16AI|
=1
metric = 2
|4+17AI|
=1
metric = 2
|4+27AI|
=1
metric = 2
|4+28AI|
=1
metric = 2
|2+4AI|
=1
metric = 2
|2+7AI|
=1
metric = 2
|2+15AI|
=1
metric = 2
|2+18AI|
=1
metric = 2
|2+26AI|
=1
metric = 2
|2+29AI|
=1
metric = 2
|1+0AI|
=1
|1+11AI|
=1
metric = 2
|1+22AI|
=1
metric = 2

sum of all metrics = 108