Inhaltsverzeichnis

Development of
Algorithmic Constructions
04:49:21
Deutsch
19.Apr 2024
33 35 37
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √17 √18 √19

Number p= Adjoined square root=

Calculation

A=√10
(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 = √10, Exponent = 1, Jacobi (10, 35) = -1, 35 = 3 mod 4, 35 = 3 mod 8

34
034√10
Number of elements = 60
Number of red elements = 24
Number of elements / Number of red elements = 2.5

Number = 35, Adjoined = √10, Exponent = 1, Jacobi (10, 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
|34+7AI|
=1
metric = 4		|34+14AI|
=1
metric = 4		|34+21AI|
=1
metric = 4		|34+28AI|
=1
metric = 4
|31+3AI|
=1
metric = 6		|31+4AI|
=1
metric = 4		|31+10AI|
=1
metric = 6		|31+11AI|
=1
metric = 4		|31+17AI|
=1
metric = 6		|31+18AI|
=1
metric = 6		|31+24AI|
=1
metric = 4		|31+25AI|
=1
metric = 6		|31+31AI|
=1
metric = 4		|31+32AI|
=1
metric = 6
|29+0AI|
=1
|29+7AI|
=1
metric = 2		|29+14AI|
=1
metric = 2		|29+21AI|
=1
metric = 2		|29+28AI|
=1
metric = 2
|24+3AI|
=1
metric = 2		|24+4AI|
=1
metric = 12		|24+10AI|
=1
metric = 2		|24+11AI|
=1
metric = 12		|24+17AI|
=1
metric = 2		|24+18AI|
=1
metric = 2		|24+24AI|
=1
metric = 12		|24+25AI|
=1
metric = 2		|24+31AI|
=1
metric = 12		|24+32AI|
=1
metric = 2
|11+3AI|
=1
metric = 2		|11+4AI|
=1
metric = 12		|11+10AI|
=1
metric = 2		|11+11AI|
=1
metric = 12		|11+17AI|
=1
metric = 2		|11+18AI|
=1
metric = 2		|11+24AI|
=1
metric = 12		|11+25AI|
=1
metric = 2		|11+31AI|
=1
metric = 12		|11+32AI|
=1
metric = 2
|6+0AI|
=1
|6+7AI|
=1
metric = 2		|6+14AI|
=1
metric = 2		|6+21AI|
=1
metric = 2		|6+28AI|
=1
metric = 2
|4+3AI|
=1
metric = 6		|4+4AI|
=1
metric = 4		|4+10AI|
=1
metric = 6		|4+11AI|
=1
metric = 4		|4+17AI|
=1
metric = 6		|4+18AI|
=1
metric = 6		|4+24AI|
=1
metric = 4		|4+25AI|
=1
metric = 6		|4+31AI|
=1
metric = 4		|4+32AI|
=1
metric = 6
|1+0AI|
=1
|1+7AI|
=1
metric = 4		|1+14AI|
=1
metric = 4		|1+21AI|
=1
metric = 4		|1+28AI|
=1
metric = 4

sum of all metrics = 272