Development of
Algorithmic Constructions

12:50:53

20.Apr 2024

29 31 33
√2 √3 √5 √6 √7 √8 √10 √11 √12 √13 √14 √15

Calculation

A=√6
(a+bA)² = a²+b²A² + 2abA mod p
|(a+bA)| = (a+bA)(a-bA) = 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
0	30√6

Number of elements = 32

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

|27+15A|
=30

|27+16A|
=30

|26+5A|
=30

|26+26A|
=30

|25+1A|
=30

|25+30A|
=30

|23+4A|
=30

|23+27A|
=30

|20+14A|
=30

|20+17A|
=30

|19+9A|
=30

|19+22A|
=30

|18+7A|
=30

|18+24A|
=30

|17+10A|
=30

|17+21A|
=30

|14+10A|
=30

|14+21A|
=30

|13+7A|
=30

|13+24A|
=30

|12+9A|
=30

|12+22A|
=30

|11+14A|
=30

|11+17A|
=30

|8+4A|
=30

|8+27A|
=30

|6+1A|
=30

|6+30A|
=30

|5+5A|
=30

|5+26A|
=30

|4+15A|
=30

|4+16A|
=30