Inhaltsverzeichnis

Development of
Algorithmic Constructions

21:04:53
Deutsch
28.Mar 2024

29 31 33
√5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √17 √18 √19 √20 √21 √22 √23

Number p= Adjoined square root=

Calculation

A=√14
(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 = √14, Exponent = 1, Jacobi (14, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
030√14
Number of elements = 32

Number = 31, Adjoined = √14, Exponent = 1, Jacobi (14, 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+1AI|
=30
|27+30AI|
=30
|26+10AI|
=30
|26+21AI|
=30
|25+2AI|
=30
|25+29AI|
=30
|23+8AI|
=30
|23+23AI|
=30
|20+3AI|
=30
|20+28AI|
=30
|19+13AI|
=30
|19+18AI|
=30
|18+14AI|
=30
|18+17AI|
=30
|17+11AI|
=30
|17+20AI|
=30
|14+11AI|
=30
|14+20AI|
=30
|13+14AI|
=30
|13+17AI|
=30
|12+13AI|
=30
|12+18AI|
=30
|11+3AI|
=30
|11+28AI|
=30
|8+8AI|
=30
|8+23AI|
=30
|6+2AI|
=30
|6+29AI|
=30
|5+10AI|
=30
|5+21AI|
=30
|4+1AI|
=30
|4+30AI|
=30