Inhaltsverzeichnis

Development of
Algorithmic Constructions

13:26:20
Deutsch
29.Mar 2024

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15

Number p= Adjoined square root=

Calculation

A=√7
(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 = √7, Exponent = 2, Jacobi (7, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
030√7
Number of elements = 16

Number = 31, Adjoined = √7, Exponent = 2, Jacobi (7, 31) = 131 = 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

|29+2AI|
=1
|29+29AI|
=1
|26+1AI|
=1
|26+30AI|
=1
|21+15AI|
=1
|21+16AI|
=1
|20+6AI|
=1
|20+25AI|
=1
|11+6AI|
=1
|11+25AI|
=1
|10+15AI|
=1
|10+16AI|
=1
|5+1AI|
=1
|5+30AI|
=1
|2+2AI|
=1
|2+29AI|
=1