Inhaltsverzeichnis

Development of
Algorithmic Constructions

15:21:22
Deutsch
28.Mar 2024

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 = 61

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+6AI|
=0
|30+25AI|
=0
|29+12AI|
=0
|29+19AI|
=0
|28+13AI|
=0
|28+18AI|
=0
|27+7AI|
=0
|27+24AI|
=0
|26+1AI|
=0
|26+30AI|
=0
|25+5AI|
=0
|25+26AI|
=0
|24+11AI|
=0
|24+20AI|
=0
|23+14AI|
=0
|23+17AI|
=0
|22+8AI|
=0
|22+23AI|
=0
|21+2AI|
=0
|21+29AI|
=0
|20+4AI|
=0
|20+27AI|
=0
|19+10AI|
=0
|19+21AI|
=0
|18+15AI|
=0
|18+16AI|
=0
|17+9AI|
=0
|17+22AI|
=0
|16+3AI|
=0
|16+28AI|
=0
|15+3AI|
=0
|15+28AI|
=0
|14+9AI|
=0
|14+22AI|
=0
|13+15AI|
=0
|13+16AI|
=0
|12+10AI|
=0
|12+21AI|
=0
|11+4AI|
=0
|11+27AI|
=0
|10+2AI|
=0
|10+29AI|
=0
|9+8AI|
=0
|9+23AI|
=0
|8+14AI|
=0
|8+17AI|
=0
|7+11AI|
=0
|7+20AI|
=0
|6+5AI|
=0
|6+26AI|
=0
|5+1AI|
=0
|5+30AI|
=0
|4+7AI|
=0
|4+24AI|
=0
|3+13AI|
=0
|3+18AI|
=0
|2+12AI|
=0
|2+19AI|
=0
|1+6AI|
=0
|1+25AI|
=0
|0+0AI|
=0