Analysis of Quadratic Residue over Z₂₄₀₁

Quadratic residue (QR)	x such that x2 = QR mod 2401	Occurance
0	0, 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352	49
1	1, 2400	2
2	235, 2166	2
4	2, 2399	2
8	470, 1931	2
9	3, 2398	2
11	817, 1584	2
15	155, 2246	2
16	4, 2397	2
18	705, 1696	2
22	85, 2316	2
23	430, 1971	2
25	5, 2396	2
29	1112, 1289	2
30	410, 1991	2
32	940, 1461	2
36	6, 2395	2
37	563, 1838	2
39	614, 1787	2
43	370, 2031	2
44	767, 1634	2
46	208, 2193	2
49	7, 336, 350, 679, 693, 1022, 1036, 1365, 1379, 1708, 1722, 2051, 2065, 2394	14
50	1175, 1226	2
51	1088, 1313	2
53	586, 1815	2
57	1009, 1392	2
58	389, 2012	2
60	310, 2091	2
64	8, 2393	2
65	290, 2111	2
67	264, 2137	2
71	748, 1653	2
72	991, 1410	2
74	250, 2151	2
78	230, 2171	2
79	1145, 1256	2
81	9, 2392	2
85	190, 2211	2
86	514, 1887	2
88	170, 2231	2
92	860, 1541	2
93	130, 2271	2
95	110, 2291	2
98	70, 273, 413, 616, 756, 959, 1099, 1302, 1442, 1645, 1785, 1988, 2128, 2331	14
99	50, 2351	2
100	10, 2391	2
102	1174, 1227	2
106	853, 1548	2
107	781, 1620	2
109	964, 1437	2
113	139, 2262	2
114	584, 1817	2
116	177, 2224	2
120	820, 1581	2
121	11, 2390	2
123	495, 1906	2
127	652, 1749	2
128	521, 1880	2
130	922, 1479	2
134	386, 2015	2
135	465, 1936	2
137	954, 1447	2
141	1051, 1350	2
142	507, 1894	2
144	12, 2389	2
148	1126, 1275	2
149	1068, 1333	2
151	639, 1762	2
155	314, 2087	2
156	1173, 1228	2
158	163, 2238	2
162	286, 2115	2
163	878, 1523	2
165	618, 1783	2
169	13, 2388	2
170	969, 1432	2
172	740, 1661	2
176	867, 1534	2
177	214, 2187	2
179	548, 1853	2
183	582, 1819	2
184	416, 1985	2
186	663, 1738	2
190	561, 1840	2
191	1144, 1257	2
193	86, 2315	2
196	14, 329, 357, 672, 700, 1015, 1043, 1358, 1386, 1701, 1729, 2044, 2072, 2387	14
197	99, 2302	2
198	255, 2146	2
200	51, 2350	2
204	225, 2176	2
205	836, 1565	2
207	1111, 1290	2
211	433, 1968	2
212	1172, 1229	2
214	1059, 1342	2
218	846, 1555	2
219	452, 1949	2
221	985, 1416	2
225	15, 2386	2
226	949, 1452	2
228	383, 2018	2
232	778, 1623	2
233	367, 2034	2
235	121, 2280	2
239	71, 2330	2
240	620, 1781	2
242	184, 2217	2
246	1077, 1324	2
247	823, 1578	2
249	537, 1864	2
253	764, 1637	2
254	444, 1957	2
256	16, 2385	2
260	580, 1821	2
261	935, 1466	2
263	901, 1500	2
267	722, 1679	2
268	528, 1873	2
270	1171, 1230	2
274	897, 1504	2
275	717, 1684	2
277	1087, 1314	2
281	974, 1427	2
282	318, 2083	2
284	905, 1496	2
288	419, 1982	2
289	17, 2384	2
291	282, 2119	2
295	148, 2253	2
296	500, 1901	2
298	1125, 1276	2
302	1098, 1303	2
303	52, 2349	2
305	1143, 1258	2
309	727, 1674	2
310	641, 1760	2
312	460, 1941	2
316	111, 2290	2
317	893, 1508	2
319	926, 1475	2
323	622, 1779	2
324	18, 2383	2
326	156, 2245	2
330	1170, 1231	2
331	269, 2132	2
333	712, 1689	2
337	909, 1492	2
338	654, 1747	2
340	380, 2021	2
344	1028, 1373	2
345	578, 1823	2
347	688, 1713	2
351	559, 1842	2
352	340, 2061	2
354	131, 2270	2
358	874, 1527	2
359	347, 2054	2
361	19, 2382	2
365	944, 1457	2
366	87, 2314	2
368	681, 1720	2
372	260, 2141	2
373	753, 1648	2
375	775, 1626	2
379	1035, 1366	2
380	220, 2181	2
382	72, 2329	2
386	1002, 1399	2
387	1110, 1291	2
389	478, 1923	2
392	140, 203, 483, 546, 826, 889, 1169, 1232, 1512, 1575, 1855, 1918, 2198, 2261	14
393	197, 2204	2
394	745, 1656	2
396	100, 2301	2
400	20, 2381	2
401	732, 1669	2
403	996, 1405	2
407	1021, 1380	2
408	53, 2348	2
410	422, 1979	2
414	624, 1777	2
415	1067, 1334	2
417	436, 1965	2
421	1142, 1259	2
422	913, 1488	2
424	695, 1706	2
428	839, 1562	2
429	171, 2230	2
431	856, 1545	2
435	512, 1889	2
436	473, 1928	2
438	576, 1825	2
441	21, 322, 364, 665, 707, 1008, 1050, 1351, 1393, 1694, 1736, 2037, 2079, 2380	14
442	979, 1422	2
443	333, 2068	2
445	488, 1913	2
449	519, 1882	2
450	1124, 1277	2
452	278, 2123	2
456	1168, 1233	2
457	241, 2160	2
459	863, 1538	2
463	209, 2192	2
464	354, 2047	2
466	191, 2210	2
470	377, 2024	2
471	178, 2223	2
473	236, 2165	2
477	643, 1758	2
478	122, 2279	2
480	761, 1640	2
484	22, 2379	2
485	164, 2237	2
487	674, 1727	2
491	246, 2155	2
492	990, 1411	2
494	1076, 1325	2
498	1058, 1343	2
499	885, 1516	2
501	849, 1552	2
505	1086, 1315	2
506	535, 1866	2
508	1097, 1304	2
512	1042, 1359	2
513	626, 1775	2
515	54, 2347	2
519	505, 1896	2
520	557, 1844	2
522	1167, 1234	2
526	447, 1954	2
527	73, 2328	2
529	23, 2378	2
533	468, 1933	2
534	801, 1600	2
536	772, 1629	2
539	112, 231, 455, 574, 798, 917, 1141, 1260, 1484, 1603, 1827, 1946, 2170, 2289	14
540	930, 1471	2
541	88, 2313	2
543	737, 1664	2
547	804, 1597	2
548	493, 1908	2
550	425, 1976	2
554	939, 1462	2
555	829, 1572	2
557	656, 1745	2
561	526, 1875	2
562	795, 1606	2
564	299, 2102	2
568	1014, 1387	2
569	1109, 1292	2
571	303, 2098	2
575	251, 2150	2
576	24, 2377	2
578	807, 1594	2
582	958, 1443	2
583	963, 1438	2
585	870, 1531	2
589	295, 2106	2
590	1166, 1235	2
592	149, 2252	2
596	265, 2136	2
597	101, 2300	2
599	702, 1699	2
603	792, 1609	2
604	1123, 1278	2
606	215, 2186	2
610	307, 2094	2
611	185, 2216	2
613	544, 1857	2
617	132, 2269	2
618	374, 2027	2
620	628, 1773	2
624	55, 2346	2
625	25, 2376	2
627	810, 1591	2
631	953, 1448	2
632	326, 2075	2
634	968, 1433	2
638	881, 1520	2
639	157, 2244	2
641	439, 1962	2
645	274, 2127	2
646	291, 2110	2
648	572, 1829	2
652	645, 1756	2
653	984, 1417	2
655	226, 2175	2
659	1140, 1261	2
660	1165, 1236	2
662	789, 1612	2
666	750, 1651	2
667	361, 2040	2
669	842, 1559	2
673	141, 2260	2
674	74, 2327	2
676	26, 2375	2
680	463, 1938	2
681	311, 2090	2
683	1066, 1335	2
687	344, 2057	2
688	921, 1480	2
690	1027, 1374	2
694	813, 1588	2
695	683, 1718	2
697	555, 1846	2
701	498, 1903	2
702	690, 1711	2
704	667, 1734	2
708	428, 1973	2
709	256, 2145	2
711	1034, 1367	2
715	769, 1632	2
716	1096, 1305	2
718	89, 2312	2
722	337, 2064	2
723	123, 2278	2
725	758, 1643	2
729	27, 2374	2
730	948, 1453	2
732	1164, 1237	2
735	56, 287, 399, 630, 742, 973, 1085, 1316, 1428, 1659, 1771, 2002, 2114, 2345	14
736	832, 1569	2
737	402, 1999	2
739	786, 1615	2
743	1049, 1352	2
744	1075, 1326	2
746	719, 1682	2
750	351, 2050	2
751	396, 2005	2
753	1108, 1293	2
757	405, 1996	2
758	724, 1677	2
760	1122, 1279	2
764	113, 2288	2
765	570, 1831	2
767	1020, 1381	2
771	533, 1868	2
772	172, 2229	2
774	859, 1542	2
778	517, 1884	2
779	816, 1585	2
781	1139, 1262	2
784	28, 315, 371, 658, 714, 1001, 1057, 1344, 1400, 1687, 1743, 2030, 2086, 2373	14
785	393, 2008	2
786	676, 1725	2
788	198, 2203	2
792	510, 1891	2
793	934, 1467	2
795	408, 1993	2
799	204, 2197	2
800	102, 2299	2
802	852, 1549	2
806	1163, 1238	2
807	697, 1704	2
809	877, 1524	2
813	995, 1406	2
814	165, 2236	2
816	450, 1951	2
820	729, 1672	2
821	221, 2180	2
823	75, 2326	2
827	1007, 1394	2
828	179, 2222	2
830	1041, 1360	2
834	783, 1618	2
835	647, 1754	2
837	390, 2011	2
841	29, 2372	2
842	542, 1859	2
844	866, 1535	2
848	57, 2344	2
849	192, 2209	2
851	411, 1990	2
855	330, 2071	2
856	283, 2118	2
858	632, 1769	2
862	524, 1877	2
863	900, 1501	2
865	481, 1920	2
869	925, 1476	2
870	270, 2131	2
872	709, 1692	2
876	904, 1497	2
877	458, 1943	2
879	943, 1458	2
882	133, 210, 476, 553, 819, 896, 1162, 1239, 1505, 1582, 1848, 1925, 2191, 2268	14
883	442, 1959	2
884	431, 1970	2
886	978, 1423	2
890	568, 1833	2
891	150, 2251	2
893	261, 2140	2
897	90, 2311	2
898	486, 1915	2
900	30, 2371	2
904	503, 1898	2
905	1138, 1263	2
907	387, 2014	2
911	358, 2043	2
912	766, 1635	2
914	989, 1412	2
918	1121, 1280	2
919	319, 2082	2
921	908, 1493	2
925	414, 1987	2
926	1095, 1306	2
928	845, 1556	2
932	734, 1667	2
933	892, 1509	2
935	835, 1566	2
939	1107, 1294	2
940	242, 2159	2
942	1013, 1388	2
946	237, 2164	2
947	780, 1621	2
949	471, 1930	2
953	1065, 1336	2
954	158, 2243	2
956	142, 2259	2
960	1161, 1240	2
961	31, 2370	2
963	58, 2343	2
967	1084, 1317	2
968	368, 2033	2
970	124, 2277	2
974	76, 2325	2
975	669, 1732	2
977	747, 1654	2
981	491, 1910	2
982	186, 2215	2
984	247, 2154	2
988	755, 1646	2
989	634, 1767	2
991	114, 2287	2
995	384, 2017	2
996	1074, 1327	2
998	912, 1489	2
1002	232, 2169	2
1003	822, 1579	2
1005	103, 2298	2
1009	279, 2122	2
1010	704, 1697	2
1012	873, 1528	2
1016	888, 1513	2
1017	417, 1984	2
1019	660, 1741	2
1023	566, 1835	2
1024	32, 2369	2
1026	649, 1752	2
1030	685, 1716	2
1031	1137, 1264	2
1033	341, 2060	2
1037	216, 2185	2
1038	1026, 1375	2
1040	1160, 1241	2
1044	531, 1870	2
1045	1033, 1368	2
1047	1048, 1353	2
1051	601, 1800	2
1052	599, 1802	2
1054	348, 2053	2
1058	603, 1798	2
1059	962, 1439	2
1061	597, 1804	2
1065	692, 1709	2
1066	466, 1935	2
1068	957, 1444	2
1072	1056, 1345	2
1073	605, 1796	2
1075	551, 1850	2
1078	91, 252, 434, 595, 777, 938, 1120, 1281, 1463, 1624, 1806, 1967, 2149, 2310	14
1079	540, 1861	2
1080	59, 2342	2
1082	929, 1472	2
1086	323, 2078	2
1087	983, 1418	2
1089	33, 2368	2
1093	678, 1723	2
1094	739, 1662	2
1096	607, 1794	2
1100	967, 1434	2
1101	381, 2020	2
1103	593, 1808	2
1107	916, 1485	2
1108	227, 2174	2
1110	334, 2067	2
1114	496, 1905	2
1115	515, 1886	2
1117	173, 2228	2
1121	855, 1546	2
1122	1159, 1242	2
1124	453, 1948	2
1127	77, 266, 420, 609, 763, 952, 1106, 1295, 1449, 1638, 1792, 1981, 2135, 2324	14
1128	636, 1765	2
1129	1019, 1382	2
1131	884, 1517	2
1135	862, 1539	2
1136	591, 1810	2
1138	1094, 1307	2
1142	825, 1576	2
1143	445, 1956	2
1145	166, 2235	2
1149	134, 2267	2
1150	1040, 1361	2
1152	838, 1563	2
1156	34, 2367	2
1157	508, 1893	2
1159	1136, 1265	2
1163	300, 2101	2
1164	564, 1837	2
1166	611, 1790	2
1170	365, 2036	2
1171	522, 1879	2
1173	355, 2046	2
1177	589, 1812	2
1178	304, 2097	2
1180	296, 2105	2
1184	1000, 1401	2
1185	199, 2202	2
1187	180, 2221	2
1191	972, 1429	2
1192	151, 2250	2
1194	275, 2126	2
1198	699, 1702	2
1199	60, 2341	2
1201	1083, 1318	2
1205	848, 1553	2
1206	1158, 1243	2
1208	205, 2196	2
1212	104, 2297	2
1213	613, 1788	2
1215	1006, 1395	2
1219	125, 2276	2
1220	115, 2286	2
1222	257, 2144	2
1225	35, 308, 378, 651, 721, 994, 1064, 1337, 1407, 1680, 1750, 2023, 2093, 2366	14
1226	587, 1814	2
1227	774, 1627	2
1229	292, 2109	2
1233	461, 1940	2
1234	193, 2208	2
1236	947, 1454	2
1240	1119, 1282	2
1241	143, 2258	2
1243	716, 1685	2
1247	869, 1532	2
1248	920, 1481	2
1250	1073, 1328	2
1254	671, 1730	2
1255	423, 1978	2
1257	726, 1675	2
1261	92, 2309	2
1262	662, 1739	2
1264	222, 2179	2
1268	615, 1786	2
1269	752, 1649	2
1271	159, 2242	2
1275	638, 1763	2
1276	549, 1852	2
1278	880, 1521	2
1282	78, 2323	2
1283	585, 1816	2
1285	327, 2074	2
1289	1135, 1266	2
1290	437, 1964	2
1292	1157, 1244	2
1296	36, 2365	2
1297	501, 1900	2
1299	828, 1573	2
1303	211, 2190	2
1304	312, 2089	2
1306	744, 1657	2
1310	288, 2113	2
1311	711, 1690	2
1313	562, 1839	2
1317	1105, 1296	2
1318	1012, 1389	2
1320	61, 2340	2
1324	538, 1863	2
1325	529, 1872	2
1327	933, 1468	2
1331	617, 1784	2
1332	977, 1424	2
1334	800, 1601	2
1338	988, 1413	2
1339	731, 1670	2
1341	803, 1598	2
1345	797, 1604	2
1346	479, 1922	2
1348	583, 1818	2
1352	1093, 1308	2
1353	1047, 1354	2
1355	187, 2214	2
1359	484, 1917	2
1360	760, 1641	2
1362	1055, 1346	2
1366	806, 1595	2
1367	375, 2026	2
1369	37, 2364	2
1373	687, 1714	2
1374	794, 1607	2
1376	345, 2056	2
1380	1156, 1245	2
1381	1032, 1369	2
1383	474, 1927	2
1387	841, 1560	2
1388	1025, 1376	2
1390	362, 2039	2
1394	771, 1630	2
1395	942, 1459	2
1397	338, 2063	2
1401	426, 1975	2
1402	619, 1782	2
1404	1118, 1283	2
1408	680, 1721	2
1409	809, 1592	2
1411	271, 2130	2
1415	316, 2085	2
1416	262, 2139	2
1418	135, 2266	2
1421	105, 238, 448, 581, 791, 924, 1134, 1267, 1477, 1610, 1820, 1953, 2163, 2296	14
1422	489, 1912	2
1423	284, 2117	2
1425	243, 2158	2
1429	706, 1695	2
1430	640, 1761	2
1432	653, 1748	2
1436	694, 1707	2
1437	1082, 1319	2
1439	79, 2322	2
1443	62, 2339	2
1444	38, 2363	2
1446	93, 2308	2
1450	456, 1945	2
1451	116, 2285	2
1453	352, 2049	2
1457	876, 1525	2
1458	858, 1543	2
1460	513, 1888	2
1464	174, 2227	2
1465	899, 1502	2
1467	233, 2168	2
1470	126, 217, 469, 560, 812, 903, 1155, 1246, 1498, 1589, 1841, 1932, 2184, 2275	14
1471	736, 1665	2
1472	1039, 1362	2
1474	831, 1570	2
1478	167, 2234	2
1479	248, 2153	2
1481	621, 1780	2
1485	547, 1854	2
1486	788, 1613	2
1488	520, 1881	2
1492	895, 1506	2
1493	1018, 1383	2
1495	152, 2249	2
1499	1063, 1338	2
1500	851, 1550	2
1502	579, 1822	2
1506	1072, 1329	2
1507	907, 1494	2
1509	1104, 1297	2
1513	664, 1737	2
1514	865, 1536	2
1516	331, 2070	2
1520	440, 1961	2
1521	39, 2362	2
1523	982, 1419	2
1527	372, 2029	2
1528	144, 2257	2
1530	506, 1895	2
1534	400, 2001	2
1535	494, 1907	2
1537	961, 1440	2
1541	673, 1728	2
1542	403, 1998	2
1544	397, 2004	2
1548	181, 2220	2
1549	815, 1586	2
1551	891, 1510	2
1555	1133, 1268	2
1556	956, 1445	2
1558	320, 2081	2
1562	1154, 1247	2
1563	228, 2173	2
1565	429, 1972	2
1568	63, 280, 406, 623, 749, 966, 1092, 1309, 1435, 1652, 1778, 1995, 2121, 2338	14
1569	785, 1616	2
1570	1117, 1284	2
1572	394, 2007	2
1576	911, 1490	2
1577	536, 1865	2
1579	768, 1633	2
1583	253, 2148	2
1584	200, 2201	2
1586	999, 1402	2
1590	160, 2241	2
1591	577, 1824	2
1593	642, 1759	2
1597	701, 1700	2
1598	80, 2321	2
1600	40, 2361	2
1604	937, 1464	2
1605	1005, 1396	2
1607	464, 1937	2
1611	757, 1644	2
1612	409, 1992	2
1614	527, 1874	2
1618	391, 2010	2
1619	206, 2195	2
1621	194, 2207	2
1625	951, 1450	2
1626	928, 1473	2
1628	359, 2042	2
1632	106, 2295	2
1633	94, 2307	2
1635	558, 1843	2
1639	993, 1408	2
1640	844, 1557	2
1642	887, 1514	2
1646	818, 1583	2
1647	655, 1746	2
1649	971, 1430	2
1653	741, 1660	2
1654	1054, 1347	2
1656	1153, 1248	2
1660	267, 2134	2
1661	1046, 1355	2
1663	625, 1776	2
1667	834, 1567	2
1668	872, 1529	2
1670	782, 1619	2
1674	412, 1989	2
1675	1081, 1320	2
1677	915, 1486	2
1681	41, 2360	2
1682	388, 2013	2
1684	117, 2284	2
1688	575, 1826	2
1689	136, 2265	2
1691	1132, 1269	2
1695	64, 2337	2
1696	1011, 1390	2
1698	499, 1902	2
1702	545, 1856	2
1703	1103, 1298	2
1705	369, 2032	2
1709	223, 2178	2
1710	718, 1683	2
1712	723, 1678	2
1716	342, 2059	2
1717	451, 1950	2
1719	1031, 1370	2
1723	127, 2274	2
1724	689, 1712	2
1726	212, 2189	2
1730	188, 2213	2
1731	682, 1719	2
1733	324, 2077	2
1737	258, 2143	2
1738	1116, 1285	2
1740	1024, 1377	2
1744	946, 1455	2
1745	276, 2125	2
1747	432, 1969	2
1751	349, 2052	2
1752	1152, 1249	2
1754	415, 1986	2
1758	713, 1688	2
1759	81, 2320	2
1761	821, 1580	2
1764	42, 301, 385, 644, 728, 987, 1071, 1330, 1414, 1673, 1757, 2016, 2100, 2359	14
1765	883, 1518	2
1766	627, 1774	2
1768	443, 1958	2
1772	666, 1735	2
1773	297, 2104	2
1775	1062, 1339	2
1779	335, 2066	2
1780	976, 1425	2
1782	765, 1636	2
1786	1091, 1310	2
1787	305, 2096	2
1789	779, 1622	2
1793	573, 1828	2
1794	459, 1942	2
1796	1038, 1363	2
1800	153, 2248	2
1801	1200, 1201	2
1803	1199, 1202	2
1807	1198, 1203	2
1808	556, 1845	2
1810	919, 1482	2
1813	168, 175, 511, 518, 854, 861, 1197, 1204, 1540, 1547, 1883, 1890, 2226, 2233	14
1814	293, 2108	2
1815	696, 1705	2
1817	145, 2256	2
1821	1196, 1205	2
1822	95, 2306	2
1824	65, 2336	2
1828	482, 1919	2
1829	1131, 1270	2
1831	1195, 1206	2
1835	477, 1924	2
1836	675, 1726	2
1838	534, 1867	2
1842	309, 2092	2
1843	1194, 1207	2
1845	107, 2294	2
1849	43, 2358	2
1850	1151, 1250	2
1852	418, 1983	2
1856	708, 1693	2
1857	1193, 1208	2
1859	1017, 1384	2
1863	932, 1469	2
1864	382, 2019	2
1866	733, 1668	2
1870	657, 1744	2
1871	487, 1914	2
1873	1192, 1209	2
1877	629, 1772	2
1878	837, 1564	2
1880	754, 1647	2
1884	356, 2045	2
1885	746, 1655	2
1887	289, 2112	2
1891	1191, 1210	2
1892	472, 1929	2
1894	824, 1577	2
1898	239, 2162	2
1899	1102, 1299	2
1901	366, 2035	2
1905	218, 2183	2
1906	571, 1830	2
1908	1115, 1286	2
1911	161, 182, 504, 525, 847, 868, 1190, 1211, 1533, 1554, 1876, 1897, 2219, 2240	14
1912	244, 2157	2
1913	941, 1460	2
1915	1080, 1321	2
1919	118, 2283	2
1920	879, 1522	2
1922	82, 2319	2
1926	776, 1625	2
1927	543, 1858	2
1929	313, 2088	2
1933	1189, 1212	2
1934	234, 2167	2
1936	44, 2357	2
1940	328, 2073	2
1941	263, 2138	2
1943	646, 1755	2
1947	435, 1966	2
1948	1053, 1348	2
1950	1150, 1251	2
1954	272, 2129	2
1955	66, 2335	2
1957	1188, 1213	2
1961	981, 1420	2
1962	137, 2264	2
1964	492, 1909	2
1968	421, 1980	2
1969	1130, 1271	2
1971	1045, 1356	2
1975	923, 1478	2
1976	249, 2152	2
1978	128, 2273	2
1982	379, 2022	2
1983	1187, 1214	2
1985	201, 2200	2
1989	554, 1847	2
1990	998, 1403	2
1992	285, 2116	2
1996	631, 1770	2
1997	1004, 1397	2
1999	467, 1934	2
2003	762, 1639	2
2004	703, 1698	2
2006	1090, 1311	2
2010	195, 2206	2
2011	1186, 1215	2
2013	96, 2305	2
2017	960, 1441	2
2018	738, 1663	2
2020	229, 2172	2
2024	1070, 1331	2
2025	45, 2356	2
2027	569, 1832	2
2031	454, 1947	2
2032	207, 2194	2
2034	446, 1955	2
2038	965, 1436	2
2039	668, 1733	2
2041	1185, 1216	2
2045	827, 1574	2
2046	955, 1446	2
2048	317, 2084	2
2052	1149, 1252	2
2053	1061, 1340	2
2055	992, 1409	2
2059	1030, 1371	2
2060	108, 2293	2
2062	684, 1717	2
2066	902, 1499	2
2067	346, 2055	2
2069	898, 1503	2
2073	1184, 1217	2
2074	339, 2062	2
2076	1010, 1391	2
2080	1114, 1287	2
2081	773, 1628	2
2083	691, 1710	2
2087	83, 2318	2
2088	67, 2334	2
2090	254, 2147	2
2094	1023, 1378	2
2095	906, 1495	2
2097	1101, 1300	2
2101	659, 1742	2
2102	424, 1977	2
2104	894, 1507	2
2107	154, 189, 497, 532, 840, 875, 1183, 1218, 1526, 1561, 1869, 1904, 2212, 2247	14
2108	146, 2255	2
2109	970, 1431	2
2111	1129, 1272	2
2115	363, 2038	2
2116	46, 2355	2
2118	376, 2025	2
2122	1037, 1364	2
2123	633, 1768	2
2125	950, 1451	2
2129	281, 2120	2
2130	648, 1753	2
2132	936, 1465	2
2136	799, 1602	2
2137	802, 1599	2
2139	677, 1724	2
2143	1182, 1219	2
2144	857, 1544	2
2146	516, 1885	2
2150	169, 2232	2
2151	213, 2188	2
2153	796, 1605	2
2156	119, 224, 462, 567, 805, 910, 1148, 1253, 1491, 1596, 1834, 1939, 2177, 2282	14
2157	1079, 1322	2
2158	353, 2048	2
2160	541, 1860	2
2164	176, 2225	2
2165	438, 1963	2
2167	751, 1650	2
2171	890, 1511	2
2172	927, 1474	2
2174	509, 1892	2
2178	552, 1849	2
2179	332, 2069	2
2181	1181, 1220	2
2185	720, 1681	2
2186	864, 1537	2
2188	793, 1608	2
2192	986, 1415	2
2193	808, 1593	2
2195	268, 2133	2
2199	321, 2080	2
2200	850, 1551	2
2202	698, 1703	2
2206	97, 2304	2
2207	725, 1676	2
2209	47, 2354	2
2213	715, 1686	2
2214	830, 1571	2
2216	523, 1878	2
2220	743, 1658	2
2221	1180, 1221	2
2223	68, 2333	2
2227	1016, 1385	2
2228	1089, 1312	2
2230	975, 1426	2
2234	162, 2239	2
2235	129, 2272	2
2237	138, 2263	2
2241	790, 1611	2
2242	759, 1642	2
2244	1052, 1349	2
2248	811, 1590	2
2249	914, 1487	2
2251	600, 1801	2
2254	84, 259, 427, 602, 770, 945, 1113, 1288, 1456, 1631, 1799, 1974, 2142, 2317	14
2255	1128, 1273	2
2256	598, 1803	2
2258	635, 1766	2
2262	1147, 1254	2
2263	1179, 1222	2
2265	604, 1797	2
2269	596, 1805	2
2270	886, 1515	2
2272	373, 2028	2
2276	183, 2218	2
2277	109, 2292	2
2279	730, 1671	2
2283	1044, 1357	2
2284	606, 1795	2
2286	1069, 1332	2
2290	594, 1807	2
2291	710, 1691	2
2293	565, 1836	2
2297	1100, 1301	2
2298	277, 2124	2
2300	502, 1899	2
2304	48, 2353	2
2305	480, 1921	2
2307	1178, 1223	2
2311	608, 1793	2
2312	787, 1614	2
2314	670, 1731	2
2318	449, 1952	2
2319	592, 1809	2
2321	814, 1587	2
2325	650, 1751	2
2326	871, 1530	2
2328	485, 1916	2
2332	475, 1926	2
2333	1060, 1341	2
2335	401, 2000	2
2339	398, 2003	2
2340	661, 1740	2
2342	219, 2182	2
2346	610, 1791	2
2347	360, 2041	2
2349	404, 1997	2
2353	1177, 1224	2
2354	843, 1558	2
2356	590, 1811	2
2360	69, 2332	2
2361	395, 2006	2
2363	457, 1944	2
2367	302, 2099	2
2368	298, 2103	2
2370	1146, 1255	2
2374	918, 1483	2
2375	550, 1851	2
2377	240, 2161	2
2381	407, 1994	2
2382	325, 2076	2
2384	530, 1871	2
2388	202, 2199	2
2389	612, 1789	2
2391	1003, 1398	2
2395	120, 2281	2
2396	997, 1404	2
2398	306, 2095	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, 50, 51, 53, 57, 58, 60, 64, 65, 67, 71, 72, 74, 78, 79, 81, 85, 86, 88, 92, 93, 95, 99, 100, 102, 106, 107, 109, 113, 114, 116, 120, 121, 123, 127, 128, 130, 134, 135, 137, 141, 142, 144, 148, 149, 151, 155, 156, 158, 162, 163, 165, 169, 170, 172, 176, 177, 179, 183, 184, 186, 190, 191, 193, 197, 198, 200, 204, 205, 207, 211, 212, 214, 218, 219, 221, 225, 226, 228, 232, 233, 235, 239, 240, 242, 246, 247, 249, 253, 254, 256, 260, 261, 263, 267, 268, 270, 274, 275, 277, 281, 282, 284, 288, 289, 291, 295, 296, 298, 302, 303, 305, 309, 310, 312, 316, 317, 319, 323, 324, 326, 330, 331, 333, 337, 338, 340, 344, 345, 347, 351, 352, 354, 358, 359, 361, 365, 366, 368, 372, 373, 375, 379, 380, 382, 386, 387, 389, 393, 394, 396, 400, 401, 403, 407, 408, 410, 414, 415, 417, 421, 422, 424, 428, 429, 431, 435, 436, 438, 442, 443, 445, 449, 450, 452, 456, 457, 459, 463, 464, 466, 470, 471, 473, 477, 478, 480, 484, 485, 487, 491, 492, 494, 498, 499, 501, 505, 506, 508, 512, 513, 515, 519, 520, 522, 526, 527, 529, 533, 534, 536, 540, 541, 543, 547, 548, 550, 554, 555, 557, 561, 562, 564, 568, 569, 571, 575, 576, 578, 582, 583, 585, 589, 590, 592, 596, 597, 599, 603, 604, 606, 610, 611, 613, 617, 618, 620, 624, 625, 627, 631, 632, 634, 638, 639, 641, 645, 646, 648, 652, 653, 655, 659, 660, 662, 666, 667, 669, 673, 674, 676, 680, 681, 683, 687, 688, 690, 694, 695, 697, 701, 702, 704, 708, 709, 711, 715, 716, 718, 722, 723, 725, 729, 730, 732, 736, 737, 739, 743, 744, 746, 750, 751, 753, 757, 758, 760, 764, 765, 767, 771, 772, 774, 778, 779, 781, 785, 786, 788, 792, 793, 795, 799, 800, 802, 806, 807, 809, 813, 814, 816, 820, 821, 823, 827, 828, 830, 834, 835, 837, 841, 842, 844, 848, 849, 851, 855, 856, 858, 862, 863, 865, 869, 870, 872, 876, 877, 879, 883, 884, 886, 890, 891, 893, 897, 898, 900, 904, 905, 907, 911, 912, 914, 918, 919, 921, 925, 926, 928, 932, 933, 935, 939, 940, 942, 946, 947, 949, 953, 954, 956, 960, 961, 963, 967, 968, 970, 974, 975, 977, 981, 982, 984, 988, 989, 991, 995, 996, 998, 1002, 1003, 1005, 1009, 1010, 1012, 1016, 1017, 1019, 1023, 1024, 1026, 1030, 1031, 1033, 1037, 1038, 1040, 1044, 1045, 1047, 1051, 1052, 1054, 1058, 1059, 1061, 1065, 1066, 1068, 1072, 1073, 1075, 1079, 1080, 1082, 1086, 1087, 1089, 1093, 1094, 1096, 1100, 1101, 1103, 1107, 1108, 1110, 1114, 1115, 1117, 1121, 1122, 1124, 1128, 1129, 1131, 1135, 1136, 1138, 1142, 1143, 1145, 1149, 1150, 1152, 1156, 1157, 1159, 1163, 1164, 1166, 1170, 1171, 1173, 1177, 1178, 1180, 1184, 1185, 1187, 1191, 1192, 1194, 1198, 1199, 1201, 1205, 1206, 1208, 1212, 1213, 1215, 1219, 1220, 1222, 1226, 1227, 1229, 1233, 1234, 1236, 1240, 1241, 1243, 1247, 1248, 1250, 1254, 1255, 1257, 1261, 1262, 1264, 1268, 1269, 1271, 1275, 1276, 1278, 1282, 1283, 1285, 1289, 1290, 1292, 1296, 1297, 1299, 1303, 1304, 1306, 1310, 1311, 1313, 1317, 1318, 1320, 1324, 1325, 1327, 1331, 1332, 1334, 1338, 1339, 1341, 1345, 1346, 1348, 1352, 1353, 1355, 1359, 1360, 1362, 1366, 1367, 1369, 1373, 1374, 1376, 1380, 1381, 1383, 1387, 1388, 1390, 1394, 1395, 1397, 1401, 1402, 1404, 1408, 1409, 1411, 1415, 1416, 1418, 1422, 1423, 1425, 1429, 1430, 1432, 1436, 1437, 1439, 1443, 1444, 1446, 1450, 1451, 1453, 1457, 1458, 1460, 1464, 1465, 1467, 1471, 1472, 1474, 1478, 1479, 1481, 1485, 1486, 1488, 1492, 1493, 1495, 1499, 1500, 1502, 1506, 1507, 1509, 1513, 1514, 1516, 1520, 1521, 1523, 1527, 1528, 1530, 1534, 1535, 1537, 1541, 1542, 1544, 1548, 1549, 1551, 1555, 1556, 1558, 1562, 1563, 1565, 1569, 1570, 1572, 1576, 1577, 1579, 1583, 1584, 1586, 1590, 1591, 1593, 1597, 1598, 1600, 1604, 1605, 1607, 1611, 1612, 1614, 1618, 1619, 1621, 1625, 1626, 1628, 1632, 1633, 1635, 1639, 1640, 1642, 1646, 1647, 1649, 1653, 1654, 1656, 1660, 1661, 1663, 1667, 1668, 1670, 1674, 1675, 1677, 1681, 1682, 1684, 1688, 1689, 1691, 1695, 1696, 1698, 1702, 1703, 1705, 1709, 1710, 1712, 1716, 1717, 1719, 1723, 1724, 1726, 1730, 1731, 1733, 1737, 1738, 1740, 1744, 1745, 1747, 1751, 1752, 1754, 1758, 1759, 1761, 1765, 1766, 1768, 1772, 1773, 1775, 1779, 1780, 1782, 1786, 1787, 1789, 1793, 1794, 1796, 1800, 1801, 1803, 1807, 1808, 1810, 1814, 1815, 1817, 1821, 1822, 1824, 1828, 1829, 1831, 1835, 1836, 1838, 1842, 1843, 1845, 1849, 1850, 1852, 1856, 1857, 1859, 1863, 1864, 1866, 1870, 1871, 1873, 1877, 1878, 1880, 1884, 1885, 1887, 1891, 1892, 1894, 1898, 1899, 1901, 1905, 1906, 1908, 1912, 1913, 1915, 1919, 1920, 1922, 1926, 1927, 1929, 1933, 1934, 1936, 1940, 1941, 1943, 1947, 1948, 1950, 1954, 1955, 1957, 1961, 1962, 1964, 1968, 1969, 1971, 1975, 1976, 1978, 1982, 1983, 1985, 1989, 1990, 1992, 1996, 1997, 1999, 2003, 2004, 2006, 2010, 2011, 2013, 2017, 2018, 2020, 2024, 2025, 2027, 2031, 2032, 2034, 2038, 2039, 2041, 2045, 2046, 2048, 2052, 2053, 2055, 2059, 2060, 2062, 2066, 2067, 2069, 2073, 2074, 2076, 2080, 2081, 2083, 2087, 2088, 2090, 2094, 2095, 2097, 2101, 2102, 2104, 2108, 2109, 2111, 2115, 2116, 2118, 2122, 2123, 2125, 2129, 2130, 2132, 2136, 2137, 2139, 2143, 2144, 2146, 2150, 2151, 2153, 2157, 2158, 2160, 2164, 2165, 2167, 2171, 2172, 2174, 2178, 2179, 2181, 2185, 2186, 2188, 2192, 2193, 2195, 2199, 2200, 2202, 2206, 2207, 2209, 2213, 2214, 2216, 2220, 2221, 2223, 2227, 2228, 2230, 2234, 2235, 2237, 2241, 2242, 2244, 2248, 2249, 2251, 2255, 2256, 2258, 2262, 2263, 2265, 2269, 2270, 2272, 2276, 2277, 2279, 2283, 2284, 2286, 2290, 2291, 2293, 2297, 2298, 2300, 2304, 2305, 2307, 2311, 2312, 2314, 2318, 2319, 2321, 2325, 2326, 2328, 2332, 2333, 2335, 2339, 2340, 2342, 2346, 2347, 2349, 2353, 2354, 2356, 2360, 2361, 2363, 2367, 2368, 2370, 2374, 2375, 2377, 2381, 2382, 2384, 2388, 2389, 2391, 2395, 2396, 2398	1029
14	49, 98, 196, 392, 441, 539, 735, 784, 882, 1078, 1127, 1225, 1421, 1470, 1568, 1764, 1813, 1911, 2107, 2156, 2254	21
49	0	1