Inhaltsverzeichnis

Development of
Algorithmic Constructions

23:41:05
Deutsch
16.Oct 2021

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11

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 = 31, Adjoined = √2, Exponent = 1, Jacobi (2, 31) = 131 = 3 mod 4, 31 = 7 mod 8

30
030√2
Number of elements = 32

Number = 31, Adjoined = √2, Exponent = 1, Jacobi (2, 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+10AI|
=30
|27+21AI|
=30
|26+7AI|
=30
|26+24AI|
=30
|25+11AI|
=30
|25+20AI|
=30
|23+13AI|
=30
|23+18AI|
=30
|20+1AI|
=30
|20+30AI|
=30
|19+6AI|
=30
|19+25AI|
=30
|18+15AI|
=30
|18+16AI|
=30
|17+14AI|
=30
|17+17AI|
=30
|14+14AI|
=30
|14+17AI|
=30
|13+15AI|
=30
|13+16AI|
=30
|12+6AI|
=30
|12+25AI|
=30
|11+1AI|
=30
|11+30AI|
=30
|8+13AI|
=30
|8+18AI|
=30
|6+11AI|
=30
|6+20AI|
=30
|5+7AI|
=30
|5+24AI|
=30
|4+10AI|
=30
|4+21AI|
=30