Development of
Algorithmic Constructions

06:47:23

20.Apr 2024

27 29 31
√2 √3 √5 √6 √7 √8 √10 √11 √12

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 = 29, Adjoined = √3, Exponent = 1, Jacobi (3, 29) = -1, 29 = 1 mod 4, 29 = 5 mod 8

28
0	28√3

Number of elements = 30

Number = 29, Adjoined = √3, Exponent = 1, Jacobi (3, 29) = -1, 29 = 1 mod 4, 29 = 5 mod 8

Potence 2 Potence 3 Potence 5 Potence 7 Potence 11 Potence 13 Potence 17 Potence 19 Potence 23 Potence 29

|28+3AI|
=28

|28+26AI|
=28

|26+4AI|
=28

|26+25AI|
=28

|25+2AI|
=28

|25+27AI|
=28

|24+1AI|
=28

|24+28AI|
=28

|23+6AI|
=28

|23+23AI|
=28

|22+14AI|
=28

|22+15AI|
=28

|19+11AI|
=28

|19+18AI|
=28

|17+0AI|
=28

|12+0AI|
=28

|10+11AI|
=28

|10+18AI|
=28

|7+14AI|
=28

|7+15AI|
=28

|6+6AI|
=28

|6+23AI|
=28

|5+1AI|
=28

|5+28AI|
=28

|4+2AI|
=28

|4+27AI|
=28

|3+4AI|
=28

|3+25AI|
=28

|1+3AI|
=28

|1+26AI|
=28