Inhaltsverzeichnis

Development of
Algorithmic Constructions

23:49:05
Deutsch
16.Oct 2021

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

Number = 31, Adjoined = √7, Exponent = 1, Jacobi (7, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
030√7
Number of elements = 32

Number = 31, Adjoined = √7, Exponent = 1, 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

|27+8AI|
=30
|27+23AI|
=30
|26+13AI|
=30
|26+18AI|
=30
|25+15AI|
=30
|25+16AI|
=30
|23+2AI|
=30
|23+29AI|
=30
|20+7AI|
=30
|20+24AI|
=30
|19+11AI|
=30
|19+20AI|
=30
|18+12AI|
=30
|18+19AI|
=30
|17+5AI|
=30
|17+26AI|
=30
|14+5AI|
=30
|14+26AI|
=30
|13+12AI|
=30
|13+19AI|
=30
|12+11AI|
=30
|12+20AI|
=30
|11+7AI|
=30
|11+24AI|
=30
|8+2AI|
=30
|8+29AI|
=30
|6+15AI|
=30
|6+16AI|
=30
|5+13AI|
=30
|5+18AI|
=30
|4+8AI|
=30
|4+23AI|
=30