Dev
elopment of
Al
gorithmic
Co
nstructions
12:29:40
29.Mar 2024
29
31
33
√2
√3
√5
√6
√7
√8
√10
√11
√12
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
Number = 31, Adjoined = √3, Exponent = 1, Jacobi (3, 31) = -1, 31 = 3 mod 4, 31 = 7 mod 8
30
0
30√3
Number of elements = 1
Number = 31, Adjoined = √3, Exponent = 1, 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
(a+bAI)^29=16+20A
|15+20AI|
=30