Analysis of sixth Residue over Z₁₆₉

sixth residue (6R)	x such that x6 = 6R mod 169	Occurance
0	0, 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156	13
1	1, 22, 23, 146, 147, 168	6
12	6, 31, 37, 132, 138, 163	6
14	25, 43, 68, 101, 126, 144	6
25	7, 8, 15, 154, 161, 162	6
27	10, 51, 61, 108, 118, 159	6
38	20, 47, 67, 102, 122, 149	6
40	4, 77, 81, 88, 92, 165	6
51	33, 50, 83, 86, 119, 136	6
53	3, 66, 69, 100, 103, 166	6
64	2, 44, 46, 123, 125, 167	6
66	35, 40, 75, 94, 129, 134	6
77	5, 54, 59, 110, 115, 164	6
79	14, 16, 30, 139, 153, 155	6
90	34, 63, 72, 97, 106, 135	6
92	12, 62, 74, 95, 107, 157	6
103	11, 73, 84, 85, 96, 158	6
105	9, 29, 38, 131, 140, 160	6
116	41, 57, 71, 98, 112, 128	6
118	49, 56, 64, 105, 113, 120	6
129	18, 58, 76, 93, 111, 151	6
131	42, 48, 79, 90, 121, 127	6
142	21, 24, 45, 124, 145, 148	6
144	17, 36, 53, 116, 133, 152	6
155	28, 32, 60, 109, 137, 141	6
157	27, 55, 82, 87, 114, 142	6
168	19, 70, 80, 89, 99, 150	6

Occurance	sixth residues	Total 6Rs with same occurance
6	1, 12, 14, 25, 27, 38, 40, 51, 53, 64, 66, 77, 79, 90, 92, 103, 105, 116, 118, 129, 131, 142, 144, 155, 157, 168	26
13	0	1