Inhaltsverzeichnis

Development of
Algorithmic Constructions

22:24:27
Deutsch
16.Oct 2021

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12

Number p= Adjoined square root=

Calculation

A=√3
(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

Number = 31, Adjoined = √3, Exponent = 2, Jacobi (3, 31) = -1, 31 = 3 mod 4, 31 = 7 mod 8

30
030√3
Number of elements = 15

Number = 31, Adjoined = √3, Exponent = 2, Jacobi (3, 31) = -1, 31 = 3 mod 4, 31 = 7 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

|19+2AI|
=1
|19+29AI|
=1
|17+11AI|
=1
|17+20AI|
=1
|15+15AI|
=1
|15+16AI|
=1
|9+5AI|
=1
|9+26AI|
=1
|8+14AI|
=1
|8+17AI|
=1
|6+3AI|
=1
|6+28AI|
=1
|3+7AI|
=1
|3+24AI|
=1
|1+0AI|
=1