Analysis of sixth Residue over Z₃₄₃

sixth residue (6R)	x such that x6 = 6R mod 343	Occurance
0	0, 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336	49
1	1, 18, 19, 324, 325, 342	6
8	6, 108, 114, 229, 235, 337	6
15	85, 100, 158, 185, 243, 258	6
22	61, 69, 130, 213, 274, 282	6
29	26, 125, 151, 192, 218, 317	6
36	83, 122, 138, 205, 221, 260	6
43	3, 54, 57, 286, 289, 340	6
50	48, 117, 165, 178, 226, 295	6
57	16, 39, 55, 288, 304, 327	6
64	2, 36, 38, 305, 307, 341	6
71	66, 118, 159, 184, 225, 277	6
78	45, 124, 169, 174, 219, 298	6
85	25, 107, 132, 211, 236, 318	6
92	8, 144, 152, 191, 199, 335	6
99	31, 97, 128, 215, 246, 312	6
106	82, 104, 157, 186, 239, 261	6
113	13, 96, 109, 234, 247, 330	6
120	81, 86, 167, 176, 257, 262	6
127	102, 120, 121, 222, 223, 241	6
134	9, 162, 171, 172, 181, 334	6
141	41, 52, 93, 250, 291, 302	6
148	30, 116, 146, 197, 227, 313	6
155	10, 153, 163, 180, 190, 333	6
162	62, 87, 149, 194, 256, 281	6
169	12, 115, 127, 216, 228, 331	6
176	23, 71, 94, 249, 272, 320	6
183	24, 89, 113, 230, 254, 319	6
190	5, 90, 95, 248, 253, 338	6
197	68, 80, 148, 195, 263, 275	6
204	65, 137, 141, 202, 206, 278	6
211	51, 60, 111, 232, 283, 292	6
218	32, 78, 110, 233, 265, 311	6
225	22, 53, 75, 268, 290, 321	6
232	64, 123, 156, 187, 220, 279	6
239	101, 103, 139, 204, 240, 242	6
246	67, 99, 166, 177, 244, 276	6
253	33, 59, 92, 251, 284, 310	6
260	47, 136, 160, 183, 207, 296	6
267	29, 135, 164, 179, 208, 314	6
274	27, 143, 170, 173, 200, 316	6
281	15, 58, 73, 270, 285, 328	6
288	46, 142, 155, 188, 201, 297	6
295	50, 79, 129, 214, 264, 293	6
302	43, 88, 131, 212, 255, 300	6
309	11, 134, 145, 198, 209, 332	6
316	17, 20, 37, 306, 323, 326	6
323	4, 72, 76, 267, 271, 339	6
330	34, 40, 74, 269, 303, 309	6
337	44, 106, 150, 193, 237, 299	6

Occurance	sixth residues	Total 6Rs with same occurance
6	1, 8, 15, 22, 29, 36, 43, 50, 57, 64, 71, 78, 85, 92, 99, 106, 113, 120, 127, 134, 141, 148, 155, 162, 169, 176, 183, 190, 197, 204, 211, 218, 225, 232, 239, 246, 253, 260, 267, 274, 281, 288, 295, 302, 309, 316, 323, 330, 337	49
49	0	1