Inhaltsverzeichnis

Development of
Algorithmic Constructions

10:19:03
Deutsch
18.Apr 2024

29 31 33
√2 √3 √5 √6 √7 √8

Number p= Adjoined square root=

Calculation

A=√3
(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
Square 2

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

30
030√3
Number of elements = 255

Number = 31, Adjoined = √3, Exponent = 2, Jacobi (3, 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
Square 2

href=2. root

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