Inhaltsverzeichnis

Development of
Algorithmic Constructions
21:23:55
Deutsch
19.Apr 2024
29 31 33
√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
Square 3

Number = 31, Adjoined = √6, Exponent = 3, Jacobi (6, 31) = -1, 31 = 3 mod 4, 31 = 7 mod 8

30
030√6
Number of elements = 10

Number = 31, Adjoined = √6, Exponent = 3, Jacobi (6, 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 3

href=3. root

|29+5AI|
=30		|29+26AI|
=30
|24+8AI|
=30		|24+23AI|
=30
|7+8AI|
=30		|7+23AI|
=30
|2+5AI|
=30		|2+26AI|
=30
|0+6AI|
=30		|0+25AI|
=30