Inhaltsverzeichnis

Development of
Algorithmic Constructions
19:57:46
Deutsch
19.Apr 2024
29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15 √17 √18 √19 √20

Number p= Adjoined square root=

Calculation

A=√11
(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 = √11, Exponent = 1, Jacobi (11, 31) = -1, 31 = 3 mod 4, 31 = 7 mod 8

30
030√11
Number of elements = 30

Number = 31, Adjoined = √11, Exponent = 1, Jacobi (11, 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+11AI|
=30		|30+20AI|
=30
|29+15AI|
=30		|29+16AI|
=30
|28+4AI|
=30		|28+27AI|
=30
|24+7AI|
=30		|24+24AI|
=30
|22+1AI|
=30		|22+30AI|
=30
|21+9AI|
=30		|21+22AI|
=30
|16+8AI|
=30		|16+23AI|
=30
|15+8AI|
=30		|15+23AI|
=30
|10+9AI|
=30		|10+22AI|
=30
|9+1AI|
=30		|9+30AI|
=30
|7+7AI|
=30		|7+24AI|
=30
|3+4AI|
=30		|3+27AI|
=30
|2+15AI|
=30		|2+16AI|
=30
|1+11AI|
=30		|1+20AI|
=30
|0+13AI|
=30		|0+18AI|
=30