Development of
Algorithmic Constructions

12:11:03

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

|30+0A|
=1

|29+4A|
=1

|29+27A|
=1

|27+7A|
=1

|27+24A|
=1

|26+2A|
=1

|26+29A|
=1

|24+15A|
=1

|24+16A|
=1

|21+1A|
=1

|21+30A|
=1

|20+12A|
=1

|20+19A|
=1

|18+11A|
=1

|18+20A|
=1

|13+11A|
=1

|13+20A|
=1

|11+12A|
=1

|11+19A|
=1

|10+1A|
=1

|10+30A|
=1

|7+15A|
=1

|7+16A|
=1

|5+2A|
=1

|5+29A|
=1

|4+7A|
=1

|4+24A|
=1

|2+4A|
=1

|2+27A|
=1

|1+0A|
=1

|0+6A|
=1

|0+25A|
=1