Inhaltsverzeichnis

Development of
Algorithmic Constructions

22:47:19
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 3

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

30
030√3
Number of elements = 10

Number = 31, Adjoined = √3, Exponent = 3, 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 3

href=3. root

|29+9AI|
=30
|29+22AI|
=30
|24+2AI|
=30
|24+29AI|
=30
|7+2AI|
=30
|7+29AI|
=30
|2+9AI|
=30
|2+22AI|
=30
|0+14AI|
=30
|0+17AI|
=30