# Development ofAlgorithmic Constructions

 07:45:56 25.Sep 2023

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

### 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 0 32√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