Inhaltsverzeichnis

Development of
Algorithmic Constructions
07:17:56
Deutsch
16.Apr 2024
29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √17 √18 √19 √20 √21

Number p= Adjoined square root=

Calculation

A=√12
(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 = √12, Exponent = 1, Jacobi (12, 31) = -1, 31 = 3 mod 4, 31 = 7 mod 8

30
030√12
Number of elements = 30

Number = 31, Adjoined = √12, Exponent = 1, Jacobi (12, 31) = -1, 31 = 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

|30+6AI|
=30		|30+25AI|
=30
|29+11AI|
=30		|29+20AI|
=30
|28+5AI|
=30		|28+26AI|
=30
|24+1AI|
=30		|24+30AI|
=30
|22+9AI|
=30		|22+22AI|
=30
|21+12AI|
=30		|21+19AI|
=30
|16+10AI|
=30		|16+21AI|
=30
|15+10AI|
=30		|15+21AI|
=30
|10+12AI|
=30		|10+19AI|
=30
|9+9AI|
=30		|9+22AI|
=30
|7+1AI|
=30		|7+30AI|
=30
|3+5AI|
=30		|3+26AI|
=30
|2+11AI|
=30		|2+20AI|
=30
|1+6AI|
=30		|1+25AI|
=30
|0+7AI|
=30		|0+24AI|
=30