Inhaltsverzeichnis

Development of
Algorithmic Constructions

22:37:46
Deutsch
16.Oct 2021

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √17

Number p= Adjoined square root=

Calculation

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

30
030√8
Number of elements = 32

Number = 31, Adjoined = √8, Exponent = 1, Jacobi (8, 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+5AI|
=30
|27+26AI|
=30
|26+12AI|
=30
|26+19AI|
=30
|25+10AI|
=30
|25+21AI|
=30
|23+9AI|
=30
|23+22AI|
=30
|20+15AI|
=30
|20+16AI|
=30
|19+3AI|
=30
|19+28AI|
=30
|18+8AI|
=30
|18+23AI|
=30
|17+7AI|
=30
|17+24AI|
=30
|14+7AI|
=30
|14+24AI|
=30
|13+8AI|
=30
|13+23AI|
=30
|12+3AI|
=30
|12+28AI|
=30
|11+15AI|
=30
|11+16AI|
=30
|8+9AI|
=30
|8+22AI|
=30
|6+10AI|
=30
|6+21AI|
=30
|5+12AI|
=30
|5+19AI|
=30
|4+5AI|
=30
|4+26AI|
=30