Analysis of Quadratic Residue over Z₄₉

Quadratic residue (QR)	x such that x2 = QR mod 49	Occurance
0	0, 7, 14, 21, 28, 35, 42	7
1	1, 48	2
2	10, 39	2
4	2, 47	2
8	20, 29	2
9	3, 46	2
11	16, 33	2
15	8, 41	2
16	4, 45	2
18	19, 30	2
22	13, 36	2
23	11, 38	2
25	5, 44	2
29	15, 34	2
30	18, 31	2
32	9, 40	2
36	6, 43	2
37	24, 25	2
39	23, 26	2
43	22, 27	2
44	17, 32	2
46	12, 37	2

Occurance	Quadratic residues	Total QRs with same occurance
2	1, 2, 4, 8, 9, 11, 15, 16, 18, 22, 23, 25, 29, 30, 32, 36, 37, 39, 43, 44, 46	21
7	0	1