Inhaltsverzeichnis

Development of
Algorithmic Constructions
06:56:56
Deutsch
20.Apr 2024
25 27 29
√2 √3 √5 √6 √7 √8

Number p= Adjoined square root=

Calculation

A=√2
(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

Number = 27, Adjoined = √2, Exponent = 1, Jacobi (2, 27) = -1, 27 = 3 mod 4, 27 = 3 mod 8

26
026√2
Number of elements = 18
Number of red elements = 16
Number of elements / Number of red elements = 1.125

Number = 27, Adjoined = √2, Exponent = 1, Jacobi (2, 27) = -1, 27 = 3 mod 4, 27 = 3 mod 8

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

|24+7AI|
=26		|24+20AI|
=26
|21+7AI|
=26		|21+20AI|
=26
|18+11AI|
=26		|18+16AI|
=26
|15+7AI|
=26		|15+20AI|
=26
|12+7AI|
=26		|12+20AI|
=26
|9+11AI|
=26		|9+16AI|
=26
|6+7AI|
=26		|6+20AI|
=26
|3+7AI|
=26		|3+20AI|
=26
|0+11AI|
=26		|0+16AI|
=26