Inhaltsverzeichnis

Development of
Algorithmic Constructions

22:57:18
Deutsch
16.Oct 2021

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

Number p= Adjoined square root=

Calculation

A=√6
(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 = √6, Exponent = 1, Jacobi (6, 31) = -1, 31 = 3 mod 4, 31 = 7 mod 8

30
030√6
Number of elements = 30

Number = 31, Adjoined = √6, Exponent = 1, Jacobi (6, 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+14AI|
=30
|30+17AI|
=30
|29+5AI|
=30
|29+26AI|
=30
|28+9AI|
=30
|28+22AI|
=30
|24+8AI|
=30
|24+23AI|
=30
|22+10AI|
=30
|22+21AI|
=30
|21+3AI|
=30
|21+28AI|
=30
|16+13AI|
=30
|16+18AI|
=30
|15+13AI|
=30
|15+18AI|
=30
|10+3AI|
=30
|10+28AI|
=30
|9+10AI|
=30
|9+21AI|
=30
|7+8AI|
=30
|7+23AI|
=30
|3+9AI|
=30
|3+22AI|
=30
|2+5AI|
=30
|2+26AI|
=30
|1+14AI|
=30
|1+17AI|
=30
|0+6AI|
=30
|0+25AI|
=30