Inhaltsverzeichnis

Development of
Algorithmic Constructions

02:44:41
Deutsch
29.Jan 2023

<< 29 31 37 >>

odd number < 2000 :
0 + i
^20 + i
02+12 = 1
^20 + i
02+12 = 1
1 + i
12+12 = 2
^20 + i
02+12 = 1

(13,7)* (0)=(7)
(-7,13)  (1)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + i
12+12 = 2

(24,13)* (1)=(6)
(-13,24)  (1)=(11)
32 + 42 = 52
3*5-1=13, 4*5-1=7
4 + 5i
42+52 = 10
3 + 4i
32+42 = 25
11 + 15i
112+152 = 5
3 + 10i
32+102 = 16
1 + 7i
12+72 = 19
2 + 13i
22+132 = 18
7 + 13i
72+132 = 1

(13,24)* (7)=(0)
(-24,13)  (13)=(1)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + 9i
12+92 = 20
5 + 14i
52+142 = 4
6 + 11i
62+112 = 2

(24,18)* (6)=(1)
(-18,24)  (11)=(1)
32 + 42 = 52
3*5-1=13, 4*5-1=7
^20 + i
02+12 = 1

(11,2)* (0)=(2)
(-2,11)  (1)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,7)* (0)=(7)
(-7,13)  (1)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + i
12+12 = 2

(11,29)* (1)=(9)
(-29,11)  (1)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(24,13)* (1)=(6)
(-13,24)  (1)=(11)
32 + 42 = 52
3*5-1=13, 4*5-1=7
3 + 4i
32+42 = 25

(26,21)* (3)=(7)
(-21,26)  (4)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26
4 + 5i
42+52 = 10

(20,29)* (4)=(8)
(-29,20)  (5)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(5,21)* (4)=(1)
(-21,5)  (5)=(3)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 7i
12+72 = 19

(20,2)* (1)=(3)
(-2,20)  (7)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(10,26)* (1)=(6)
(-26,10)  (7)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 10i
32+102 = 16

(26,21)* (3)=(9)
(-21,26)  (10)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(29,20)* (3)=(8)
(-20,29)  (10)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
6 + 11i
62+112 = 2

(24,18)* (6)=(1)
(-18,24)  (11)=(1)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(21,26)* (6)=(9)
(-26,21)  (11)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
7 + 13i
72+132 = 1

(13,24)* (7)=(0)
(-24,13)  (13)=(1)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,11)* (7)=(2)
(-11,2)  (13)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20
11 + 15i
112+152 = 5

(2,11)* (11)=(1)
(-11,2)  (15)=(2)
52 + 122 = 132
5*13-1=29, 12*13-1=20
2 + 13i
22+132 = 18

(21,5)* (2)=(14)
(-5,21)  (13)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 9i
12+92 = 20

(21,26)* (1)=(7)
(-26,21)  (9)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26
5 + 14i
52+142 = 4

(20,29)* (5)=(10)
(-29,20)  (14)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(21,26)* (5)=(4)
(-26,21)  (14)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26
5 + 12i
52+122 = 14
7 + 8i
72+82 = 20

(21,5)* (7)=(1)
(-5,21)  (8)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26
8 + 15i
82+152 = 10

(20,2)* (8)=(4)
(-2,20)  (15)=(5)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,27)* (8)=(1)
(-27,27)  (15)=(3)
72 + 242 = 252
7*25-1=4, 24*25-1=27
1 + 3i
12+32 = 10

(27,4)* (1)=(8)
(-4,27)  (3)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(5,10)* (1)=(4)
(-10,5)  (3)=(5)
152 + 82 = 172
15*17-1=10, 8*17-1=26
9 + 11i
92+112 = 16

(27,4)* (9)=(8)
(-4,27)  (11)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(26,10)* (9)=(3)
(-10,26)  (11)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 2i
12+22 = 5

(2,20)* (1)=(11)
(-20,2)  (2)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
8 + 13i
82+132 = 16

(27,27)* (8)=(9)
(-27,27)  (13)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(29,11)* (8)=(3)
(-11,29)  (13)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20
7 + 10i
72+102 = 25

(26,10)* (7)=(3)
(-10,26)  (10)=(4)
152 + 82 = 172
15*17-1=10, 8*17-1=26
10 + 11i
102+112 = 4

(27,4)* (10)=(4)
(-4,27)  (11)=(9)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(20,2)* (10)=(5)
(-2,20)  (11)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
4 + 9i
42+92 = 4

(27,27)* (4)=(10)
(-27,27)  (9)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(21,5)* (4)=(5)
(-5,21)  (9)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 15i
12+152 = 9
14 + 15i
142+152 = 18

(21,26)* (14)=(2)
(-26,21)  (15)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
11 + 14i
112+142 = 7

(4,4)* (11)=(7)
(-4,4)  (14)=(12)
72 + 242 = 252
7*25-1=4, 24*25-1=27
7 + 12i
72+122 = 7

(4,27)* (7)=(11)
(-27,4)  (12)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27
2 + 11i
22+112 = 1

(11,29)* (2)=(0)
(-29,11)  (11)=(1)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(2,20)* (2)=(7)
(-20,2)  (11)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
3 + 14i
32+142 = 19

(20,29)* (3)=(1)
(-29,20)  (14)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,4)* (3)=(6)
(-4,4)  (14)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27
6 + 13i
62+132 = 19

(10,5)* (6)=(1)
(-5,10)  (13)=(7)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,27)* (6)=(3)
(-27,4)  (13)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27
9 + 13i
92+132 = 2

(11,2)* (9)=(1)
(-2,11)  (13)=(1)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(21,5)* (9)=(6)
(-5,21)  (13)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 10i
12+102 = 8

(13,24)* (1)=(5)
(-24,13)  (10)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
5 + 13i
52+132 = 8

(13,7)* (5)=(1)
(-7,13)  (13)=(10)
32 + 42 = 52
3*5-1=13, 4*5-1=7
^20 + i
02+12 = 1

(10,5)* (0)=(5)
(-5,10)  (1)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,2)* (0)=(2)
(-2,11)  (1)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,7)* (0)=(7)
(-7,13)  (1)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + i
12+12 = 2

(24,13)* (1)=(6)
(-13,24)  (1)=(11)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(11,29)* (1)=(9)
(-29,11)  (1)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(10,26)* (1)=(5)
(-26,10)  (1)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 4i
32+42 = 25

(26,21)* (3)=(7)
(-21,26)  (4)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,2)* (3)=(6)
(-2,20)  (4)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20
4 + 5i
42+52 = 10

(5,21)* (4)=(1)
(-21,5)  (5)=(3)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,29)* (4)=(8)
(-29,20)  (5)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
1 + 7i
12+72 = 19

(10,26)* (1)=(6)
(-26,10)  (7)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,2)* (1)=(3)
(-2,20)  (7)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
6 + 8i
62+82 = 7

(2,11)* (6)=(7)
(-11,2)  (8)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(21,5)* (6)=(11)
(-5,21)  (8)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 9i
12+92 = 20

(5,10)* (1)=(2)
(-10,5)  (9)=(4)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(21,26)* (1)=(7)
(-26,21)  (9)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 10i
32+102 = 16

(26,21)* (3)=(9)
(-21,26)  (10)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(29,20)* (3)=(8)
(-20,29)  (10)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
8 + 10i
82+102 = 9

(5,21)* (8)=(2)
(-21,5)  (10)=(6)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(21,5)* (8)=(1)
(-5,21)  (10)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
6 + 11i
62+112 = 2

(24,18)* (6)=(1)
(-18,24)  (11)=(1)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(21,26)* (6)=(9)
(-26,21)  (11)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,29)* (6)=(5)
(-29,20)  (11)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
9 + 12i
92+122 = 8

(20,29)* (9)=(1)
(-29,20)  (12)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(29,20)* (9)=(5)
(-20,29)  (12)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
2 + 13i
22+132 = 18

(20,2)* (2)=(4)
(-2,20)  (13)=(8)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(21,5)* (2)=(14)
(-5,21)  (13)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
7 + 13i
72+132 = 1

(13,24)* (7)=(0)
(-24,13)  (13)=(1)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(10,26)* (7)=(5)
(-26,10)  (13)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(2,11)* (7)=(2)
(-11,2)  (13)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20
2 + 14i
22+142 = 14

(2,11)* (2)=(3)
(-11,2)  (14)=(6)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(26,21)* (2)=(5)
(-21,26)  (14)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26
5 + 14i
52+142 = 4

(21,26)* (5)=(4)
(-26,21)  (14)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,29)* (5)=(10)
(-29,20)  (14)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20
11 + 15i
112+152 = 5

(2,11)* (11)=(1)
(-11,2)  (15)=(2)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(20,29)* (11)=(4)
(-29,20)  (15)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20
12 + 15i
122+152 = 28

(5,21)* (12)=(3)
(-21,5)  (15)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(26,21)* (12)=(7)
(-21,26)  (15)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 2i
12+22 = 5

(18,24)* (1)=(4)
(-24,18)  (2)=(12)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,20)* (1)=(11)
(-20,2)  (2)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
1 + 3i
12+32 = 10

(5,10)* (1)=(4)
(-10,5)  (3)=(5)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,4)* (1)=(8)
(-4,27)  (3)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27
9 + 11i
92+112 = 16

(26,10)* (9)=(3)
(-10,26)  (11)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,4)* (9)=(8)
(-4,27)  (11)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27
4 + 12i
42+122 = 5

(18,7)* (4)=(1)
(-7,18)  (12)=(2)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(20,2)* (4)=(11)
(-2,20)  (12)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
8 + 13i
82+132 = 16

(29,11)* (8)=(3)
(-11,29)  (13)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,27)* (8)=(9)
(-27,27)  (13)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27
8 + 15i
82+152 = 10

(27,27)* (8)=(1)
(-27,27)  (15)=(3)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(20,2)* (8)=(4)
(-2,20)  (15)=(5)
52 + 122 = 132
5*13-1=29, 12*13-1=20
2 + 4i
22+42 = 20

(24,13)* (2)=(7)
(-13,24)  (4)=(8)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(5,21)* (2)=(1)
(-21,5)  (4)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 6i
32+62 = 14

(4,4)* (3)=(5)
(-4,4)  (6)=(12)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(2,20)* (3)=(2)
(-20,2)  (6)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
7 + 8i
72+82 = 20

(24,18)* (7)=(2)
(-18,24)  (8)=(4)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(21,5)* (7)=(1)
(-5,21)  (8)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 9i
32+92 = 28

(13,24)* (3)=(7)
(-24,13)  (9)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(5,10)* (3)=(12)
(-10,5)  (9)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
5 + 12i
52+122 = 14

(4,27)* (5)=(3)
(-27,4)  (12)=(6)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(26,10)* (5)=(2)
(-10,26)  (12)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
7 + 14i
72+142 = 28

(13,7)* (7)=(3)
(-7,13)  (14)=(9)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(26,10)* (7)=(12)
(-10,26)  (14)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
2 + 6i
22+62 = 9

(5,10)* (2)=(8)
(-10,5)  (6)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(24,18)* (2)=(1)
(-18,24)  (6)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
4 + 8i
42+82 = 18

(20,29)* (4)=(2)
(-29,20)  (8)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,27)* (4)=(14)
(-27,27)  (8)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27
1 + 15i
12+152 = 9

(24,13)* (1)=(2)
(-13,24)  (15)=(6)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(21,26)* (1)=(8)
(-26,21)  (15)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26
14 + 15i
142+152 = 18

(27,4)* (14)=(4)
(-4,27)  (15)=(8)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(21,26)* (14)=(2)
(-26,21)  (15)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
4 + 9i
42+92 = 4

(27,27)* (4)=(10)
(-27,27)  (9)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(21,5)* (4)=(5)
(-5,21)  (9)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
10 + 11i
102+112 = 4

(27,4)* (10)=(4)
(-4,27)  (11)=(9)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(20,2)* (10)=(5)
(-2,20)  (11)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
1 + 10i
12+102 = 8

(20,2)* (1)=(9)
(-2,20)  (10)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,24)* (1)=(5)
(-24,13)  (10)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
5 + 13i
52+132 = 8

(13,7)* (5)=(1)
(-7,13)  (13)=(10)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(29,11)* (5)=(9)
(-11,29)  (13)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20
5 + 10i
52+102 = 1

(10,26)* (5)=(0)
(-26,10)  (10)=(1)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,27)* (5)=(2)
(-27,27)  (10)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(10,5)* (5)=(7)
(-5,10)  (10)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
2 + 11i
22+112 = 1

(11,29)* (2)=(0)
(-29,11)  (11)=(1)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (2)=(5)
(-4,27)  (11)=(10)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(2,20)* (2)=(7)
(-20,2)  (11)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
7 + 10i
72+102 = 25

(26,10)* (7)=(3)
(-10,26)  (10)=(4)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,4)* (7)=(6)
(-4,4)  (10)=(12)
72 + 242 = 252
7*25-1=4, 24*25-1=27
6 + 12i
62+122 = 25

(20,29)* (6)=(3)
(-29,20)  (12)=(4)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,27)* (6)=(7)
(-27,4)  (12)=(10)
72 + 242 = 252
7*25-1=4, 24*25-1=27
7 + 12i
72+122 = 7

(2,20)* (7)=(6)
(-20,2)  (12)=(8)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,27)* (7)=(11)
(-27,4)  (12)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27
11 + 14i
112+142 = 7

(21,26)* (11)=(6)
(-26,21)  (14)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,4)* (11)=(7)
(-4,4)  (14)=(12)
72 + 242 = 252
7*25-1=4, 24*25-1=27
6 + 13i
62+132 = 19

(10,5)* (6)=(1)
(-5,10)  (13)=(7)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,27)* (6)=(3)
(-27,4)  (13)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27
3 + 14i
32+142 = 19

(20,29)* (3)=(1)
(-29,20)  (14)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,4)* (3)=(6)
(-4,4)  (14)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27
9 + 13i
92+132 = 2

(11,2)* (9)=(1)
(-2,11)  (13)=(1)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(21,5)* (9)=(6)
(-5,21)  (13)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,27)* (9)=(5)
(-27,27)  (13)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27
5 + 15i
52+152 = 2

(10,5)* (5)=(1)
(-5,10)  (15)=(1)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,2)* (5)=(6)
(-2,20)  (15)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (5)=(9)
(-4,27)  (15)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27
2 + 3i
22+32 = 13

(10,26)* (2)=(5)
(-26,10)  (3)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,4)* (2)=(4)
(-4,27)  (3)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(2,11)* (2)=(6)
(-11,2)  (3)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
4 + 11i
42+112 = 13

(27,27)* (4)=(2)
(-27,27)  (11)=(3)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(2,11)* (4)=(5)
(-11,2)  (11)=(9)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(5,10)* (4)=(6)
(-10,5)  (11)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
5 + 7i
52+72 = 12

(29,20)* (5)=(6)
(-20,29)  (7)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (5)=(8)
(-4,27)  (7)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(7,13)* (5)=(2)
(-13,7)  (7)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
8 + 14i
82+142 = 12

(27,27)* (8)=(5)
(-27,27)  (14)=(7)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(26,21)* (8)=(6)
(-21,26)  (14)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(24,13)* (8)=(2)
(-13,24)  (14)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + 4i
12+42 = 17

(29,11)* (1)=(11)
(-11,29)  (4)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,7)* (1)=(10)
(-7,13)  (4)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(11,29)* (1)=(3)
(-29,11)  (4)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
11 + 12i
112+122 = 17

(29,20)* (11)=(1)
(-20,29)  (12)=(4)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(20,29)* (11)=(10)
(-29,20)  (12)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(18,7)* (11)=(3)
(-7,18)  (12)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + 6i
12+62 = 6

(29,11)* (1)=(2)
(-11,29)  (6)=(8)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(5,21)* (1)=(7)
(-21,5)  (6)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,27)* (1)=(3)
(-27,27)  (6)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27
4 + 7i
42+72 = 3

(26,21)* (4)=(3)
(-21,26)  (7)=(5)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,2)* (4)=(1)
(-2,20)  (7)=(8)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(5,21)* (4)=(12)
(-21,5)  (7)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
2 + 9i
22+92 = 23

(10,26)* (2)=(6)
(-26,10)  (9)=(7)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,29)* (2)=(4)
(-29,11)  (9)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,27)* (2)=(3)
(-27,4)  (9)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27
2 + 10i
22+102 = 11

(5,21)* (2)=(3)
(-21,5)  (10)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,2)* (2)=(11)
(-2,11)  (10)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (2)=(1)
(-4,27)  (10)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27
3 + 11i
32+112 = 6

(27,4)* (3)=(1)
(-4,27)  (11)=(6)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(26,10)* (3)=(2)
(-10,26)  (11)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(20,29)* (3)=(7)
(-29,20)  (11)=(9)
52 + 122 = 132
5*13-1=29, 12*13-1=20
3 + 13i
32+132 = 23

(29,20)* (3)=(6)
(-20,29)  (13)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,4)* (3)=(2)
(-4,4)  (13)=(9)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(21,5)* (3)=(4)
(-5,21)  (13)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26
12 + 13i
122+132 = 3

(13,24)* (12)=(3)
(-24,13)  (13)=(5)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(5,10)* (12)=(4)
(-10,5)  (13)=(7)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(18,24)* (12)=(1)
(-24,18)  (13)=(8)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + 14i
12+142 = 11

(2,20)* (1)=(3)
(-20,2)  (14)=(8)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,27)* (1)=(2)
(-27,27)  (14)=(10)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(26,10)* (1)=(11)
(-10,26)  (14)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
10 + 14i
102+142 = 17

(13,24)* (10)=(1)
(-24,13)  (14)=(4)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(20,2)* (10)=(11)
(-2,20)  (14)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(5,21)* (10)=(3)
(-21,5)  (14)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 15i
32+152 = 17

(11,2)* (3)=(1)
(-2,11)  (15)=(4)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(18,24)* (3)=(11)
(-24,18)  (15)=(12)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(5,10)* (3)=(10)
(-10,5)  (15)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 7i
32+72 = 27

(21,5)* (3)=(5)
(-5,21)  (7)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(18,7)* (3)=(10)
(-7,18)  (7)=(12)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(29,11)* (3)=(9)
(-11,29)  (7)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
9 + 15i
92+152 = 27

(29,20)* (9)=(3)
(-20,29)  (15)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,7)* (9)=(5)
(-7,13)  (15)=(8)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(10,5)* (9)=(10)
(-5,10)  (15)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26
2 + 8i
22+82 = 6

(29,20)* (2)=(1)
(-20,29)  (8)=(6)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(4,27)* (2)=(7)
(-27,4)  (8)=(9)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(26,21)* (2)=(3)
(-21,26)  (8)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26
3 + 8i
32+82 = 11

(5,10)* (3)=(2)
(-10,5)  (8)=(10)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,27)* (3)=(11)
(-27,4)  (8)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(2,11)* (3)=(1)
(-11,2)  (8)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
5 + 9i
52+92 = 13

(10,5)* (5)=(2)
(-5,10)  (9)=(3)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(2,20)* (5)=(4)
(-20,2)  (9)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,27)* (5)=(6)
(-27,27)  (9)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27
7 + 9i
72+92 = 6

(5,10)* (7)=(1)
(-10,5)  (9)=(6)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,4)* (7)=(2)
(-4,4)  (9)=(8)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(20,2)* (7)=(3)
(-2,20)  (9)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20
6 + 10i
62+102 = 12

(29,11)* (6)=(5)
(-11,29)  (10)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(26,10)* (6)=(8)
(-10,26)  (10)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(29,20)* (6)=(2)
(-20,29)  (10)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
9 + 10i
92+102 = 26

(13,7)* (9)=(1)
(-7,13)  (10)=(5)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,11)* (9)=(4)
(-11,2)  (10)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(7,13)* (9)=(7)
(-13,7)  (10)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
8 + 11i
82+112 = 30

(18,24)* (8)=(5)
(-24,18)  (11)=(6)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(11,29)* (8)=(4)
(-29,11)  (11)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(29,11)* (8)=(12)
(-11,29)  (11)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
11 + 13i
112+132 = 11

(4,4)* (11)=(3)
(-4,4)  (13)=(8)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(11,29)* (11)=(2)
(-29,11)  (13)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(26,21)* (11)=(1)
(-21,26)  (13)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26
4 + 14i
42+142 = 26

(10,26)* (4)=(1)
(-26,10)  (14)=(5)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(2,20)* (4)=(9)
(-20,2)  (14)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(2,11)* (4)=(7)
(-11,2)  (14)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
12 + 14i
122+142 = 30

(11,2)* (12)=(5)
(-2,11)  (14)=(6)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(29,20)* (12)=(8)
(-20,29)  (14)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(18,7)* (12)=(4)
(-7,18)  (14)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
13 + 14i
132+142 = 24

(24,18)* (13)=(6)
(-18,24)  (14)=(9)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(21,5)* (13)=(2)
(-5,21)  (14)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(29,11)* (13)=(4)
(-11,29)  (14)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
2 + 15i
22+152 = 12

(7,18)* (2)=(5)
(-18,7)  (15)=(7)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(29,11)* (2)=(6)
(-11,29)  (15)=(10)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(24,18)* (2)=(8)
(-18,24)  (15)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7
4 + 15i
42+152 = 24

(26,10)* (4)=(6)
(-10,26)  (15)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(13,7)* (4)=(2)
(-7,13)  (15)=(12)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(29,20)* (4)=(13)
(-20,29)  (15)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
6 + 15i
62+152 = 13

(2,20)* (6)=(2)
(-20,2)  (15)=(3)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (6)=(5)
(-4,27)  (15)=(9)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(5,21)* (6)=(4)
(-21,5)  (15)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26
5 + 8i
52+82 = 27

(21,26)* (5)=(3)
(-26,21)  (8)=(7)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(10,26)* (5)=(10)
(-26,10)  (8)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(13,24)* (5)=(9)
(-24,13)  (8)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
10 + 12i
102+122 = 27

(18,24)* (10)=(3)
(-24,18)  (12)=(7)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(10,5)* (10)=(5)
(-5,10)  (12)=(8)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(10,26)* (10)=(9)
(-26,10)  (12)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
1 + 5i
12+52 = 26

(13,24)* (1)=(9)
(-24,13)  (5)=(10)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(10,5)* (1)=(4)
(-5,10)  (5)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,27)* (1)=(7)
(-27,27)  (5)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27
7 + 15i
72+152 = 26

(27,4)* (7)=(1)
(-4,27)  (15)=(5)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(7,18)* (7)=(9)
(-18,7)  (15)=(10)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,20)* (7)=(4)
(-20,2)  (15)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
2 + 5i
22+52 = 29

(18,24)* (2)=(1)
(-24,18)  (5)=(11)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(29,20)* (2)=(3)
(-20,29)  (5)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(18,7)* (2)=(9)
(-7,18)  (5)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7
3 + 12i
32+122 = 29

(29,11)* (3)=(2)
(-11,29)  (12)=(5)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(10,26)* (3)=(1)
(-26,10)  (12)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,29)* (3)=(9)
(-29,11)  (12)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
1 + 11i
12+112 = 29

(18,7)* (1)=(2)
(-7,18)  (11)=(5)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(10,5)* (1)=(3)
(-5,10)  (11)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,4)* (1)=(9)
(-4,27)  (11)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27
9 + 14i
92+142 = 29

(18,24)* (9)=(2)
(-24,18)  (14)=(5)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(27,27)* (9)=(1)
(-27,27)  (14)=(11)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(11,2)* (9)=(3)
(-2,11)  (14)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20
3 + 5i
32+52 = 3

(26,10)* (3)=(4)
(-10,26)  (5)=(7)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(4,4)* (3)=(1)
(-4,4)  (5)=(8)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(13,7)* (3)=(12)
(-7,13)  (5)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + 8i
12+82 = 3

(4,27)* (1)=(3)
(-27,4)  (8)=(5)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(20,29)* (1)=(4)
(-29,20)  (8)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(18,7)* (1)=(12)
(-7,18)  (8)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
6 + 9i
62+92 = 24

(5,21)* (6)=(2)
(-21,5)  (9)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(24,13)* (6)=(13)
(-13,24)  (9)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(26,21)* (6)=(4)
(-21,26)  (9)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
2 + 12i
22+122 = 24

(5,10)* (2)=(6)
(-10,5)  (12)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(21,26)* (2)=(13)
(-26,21)  (12)=(14)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(13,24)* (2)=(4)
(-24,13)  (12)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
4 + 6i
42+62 = 21

(10,5)* (4)=(8)
(-5,10)  (6)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,29)* (4)=(1)
(-29,11)  (6)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,24)* (4)=(10)
(-24,13)  (6)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7
8 + 9i
82+92 = 21

(10,26)* (8)=(4)
(-26,10)  (9)=(6)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(7,18)* (8)=(1)
(-18,7)  (9)=(12)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,20)* (8)=(10)
(-20,2)  (9)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
1 + 12i
12+122 = 21

(11,2)* (1)=(4)
(-2,11)  (12)=(6)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(7,13)* (1)=(8)
(-13,7)  (12)=(9)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,11)* (1)=(10)
(-11,2)  (12)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
10 + 13i
102+132 = 21

(13,7)* (10)=(4)
(-7,13)  (13)=(6)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,11)* (10)=(8)
(-11,2)  (13)=(9)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(2,20)* (10)=(1)
(-20,2)  (13)=(12)
52 + 122 = 132
5*13-1=29, 12*13-1=20
5 + 6i
52+62 = 30

(18,7)* (5)=(8)
(-7,18)  (6)=(11)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(26,10)* (5)=(4)
(-10,26)  (6)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,29)* (5)=(12)
(-29,11)  (6)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20
4 + 13i
42+132 = 30

(26,21)* (4)=(5)
(-21,26)  (13)=(6)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,2)* (4)=(8)
(-2,11)  (13)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(18,24)* (4)=(12)
(-24,18)  (13)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7
2 + 7i
22+72 = 22

(11,2)* (2)=(5)
(-2,11)  (7)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(13,24)* (2)=(8)
(-24,13)  (7)=(12)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(13,7)* (2)=(13)
(-7,13)  (7)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
5 + 11i
52+112 = 22

(11,29)* (5)=(2)
(-29,11)  (11)=(7)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(5,21)* (5)=(8)
(-21,5)  (11)=(12)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(2,20)* (5)=(13)
(-20,2)  (11)=(15)
52 + 122 = 132
5*13-1=29, 12*13-1=20
8 + 12i
82+122 = 22

(13,7)* (8)=(2)
(-7,13)  (12)=(7)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(5,10)* (8)=(5)
(-10,5)  (12)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,27)* (8)=(13)
(-27,27)  (12)=(15)
72 + 242 = 252
7*25-1=4, 24*25-1=27
13 + 15i
132+152 = 22

(13,24)* (13)=(2)
(-24,13)  (15)=(7)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(2,11)* (13)=(5)
(-11,2)  (15)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (13)=(8)
(-4,27)  (15)=(12)
72 + 242 = 252
7*25-1=4, 24*25-1=27
6 + 7i
62+72 = 23

(10,5)* (6)=(2)
(-5,10)  (7)=(9)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,4)* (6)=(4)
(-4,27)  (7)=(10)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(29,11)* (6)=(3)
(-11,29)  (7)=(13)
52 + 122 = 132
5*13-1=29, 12*13-1=20
4 + 10i
42+102 = 23

(27,27)* (4)=(6)
(-27,27)  (10)=(7)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(11,2)* (4)=(2)
(-2,11)  (10)=(9)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(21,26)* (4)=(3)
(-26,21)  (10)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26
7 + 11i
72+112 = 15

(10,5)* (7)=(1)
(-5,10)  (11)=(13)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(11,2)* (7)=(6)
(-2,11)  (11)=(14)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(26,21)* (7)=(10)
(-21,26)  (11)=(15)
152 + 82 = 172
15*17-1=10, 8*17-1=26
10 + 15i
102+152 = 15

(26,10)* (10)=(7)
(-10,26)  (15)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(24,13)* (10)=(1)
(-13,24)  (15)=(13)
32 + 42 = 52
3*5-1=13, 4*5-1=7

(18,7)* (10)=(6)
(-7,18)  (15)=(14)
32 + 42 = 52
3*5-1=13, 4*5-1=7
1 + 13i
12+132 = 15

(10,26)* (1)=(7)
(-26,10)  (13)=(11)
152 + 82 = 172
15*17-1=10, 8*17-1=26

(27,27)* (1)=(6)
(-27,27)  (13)=(14)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(24,18)* (1)=(10)
(-18,24)  (13)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7
6 + 14i
62+142 = 15

(11,29)* (6)=(7)
(-29,11)  (14)=(11)
52 + 122 = 132
5*13-1=29, 12*13-1=20

(27,4)* (6)=(1)
(-4,27)  (14)=(13)
72 + 242 = 252
7*25-1=4, 24*25-1=27

(18,24)* (6)=(10)
(-24,18)  (14)=(15)
32 + 42 = 52
3*5-1=13, 4*5-1=7


0, 0, ,

All calculation is done with mod f.

The complex number are calculated by exponentation from the botton to the top.

The factorisation depends of the number modulo 4:
Let p be an odd prime, then
for p = 1 mod 4 the factorisation depends on p-1
for p = 3 mod 4 the factorisation depends on p+1

The calculated complex number a+bi depends on the tangens(alpha)= a/b
which describes a rational point on the unit circle.

For symmetric reasons the complex number a+bi is choosen for a < b,
otherwise the tangens(alpha)=a/b is replaced by the cotangens(alpha):=b/a,
that means a+bi:=b+ai for a > b.

If a and b have a common factor with div=gcd (a,b), then a:=a/div and b:=b/div.
(This means that the angle is the same but not the norm (a, b)=a²+b²)

if a=0 then b:=1.

The green elements a+bi are quadratic residues and have jacobi (a²+b², f)=1
The red elements a+bi are non quadratic residues and have jacobi (a²+b², f)=-1
The cyan elements a+bi have a2+b2=0 mod f