Development of
Algorithmic Constructions

05:08:04

20.Apr 2024

27 29 31
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15

Calculation

A=√7
(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 = √7, Exponent = 1, Jacobi (7, 29) = 129 = 1 mod 4, 29 = 5 mod 8

28
0	28√7

Number of elements = 28

Number = 29, Adjoined = √7, Exponent = 1, Jacobi (7, 29) = 129 = 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

|27+7AI|
=28

|27+22AI|
=28

|21+12AI|
=28

|21+17AI|
=28

|20+3AI|
=28

|20+26AI|
=28

|18+13AI|
=28

|18+16AI|
=28

|17+0AI|
=28

|16+10AI|
=28

|16+19AI|
=28

|15+11AI|
=28

|15+18AI|
=28

|14+11AI|
=28

|14+18AI|
=28

|13+10AI|
=28

|13+19AI|
=28

|12+0AI|
=28

|11+13AI|
=28

|11+16AI|
=28

|9+3AI|
=28

|9+26AI|
=28

|8+12AI|
=28

|8+17AI|
=28

|2+7AI|
=28

|2+22AI|
=28

|0+2AI|
=28

|0+27AI|
=28