Analysis of sixth Residue over Z₁₂₅

sixth residue (6R)	x such that x6 = 6R mod 125	Occurance
0	0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120	25
1	1, 124	2
4	53, 72	2
6	19, 106	2
9	38, 87	2
11	39, 86	2
14	23, 102	2
16	59, 66	2
19	8, 117	2
21	46, 79	2
24	7, 118	2
26	26, 99	2
29	22, 103	2
31	6, 119	2
34	37, 88	2
36	14, 111	2
39	52, 73	2
41	34, 91	2
44	58, 67	2
46	54, 71	2
49	43, 82	2
51	51, 74	2
54	28, 97	2
56	31, 94	2
59	13, 112	2
61	11, 114	2
64	2, 123	2
66	9, 116	2
69	17, 108	2
71	29, 96	2
74	32, 93	2
76	49, 76	2
79	47, 78	2
81	56, 69	2
84	62, 63	2
86	36, 89	2
89	48, 77	2
91	16, 109	2
94	33, 92	2
96	4, 121	2
99	18, 107	2
101	24, 101	2
104	3, 122	2
106	44, 81	2
109	12, 113	2
111	61, 64	2
114	27, 98	2
116	41, 84	2
119	42, 83	2
121	21, 104	2
124	57, 68	2

Occurance	sixth residues	Total 6Rs with same occurance
2	1, 4, 6, 9, 11, 14, 16, 19, 21, 24, 26, 29, 31, 34, 36, 39, 41, 44, 46, 49, 51, 54, 56, 59, 61, 64, 66, 69, 71, 74, 76, 79, 81, 84, 86, 89, 91, 94, 96, 99, 101, 104, 106, 109, 111, 114, 116, 119, 121, 124	50
25	0	1