LegionMammal978

A248802 congruences

Jan 12th, 2025
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  1. a(0+0j) == 0 (mod 11)
  2. a(3+2j) == 0 (mod 13)
  3. a(1+6j) == 0 (mod 19)
  4. a(2+10j) == 0 (mod 67)
  5. a(3+12j) == 0 (mod 79)
  6. a(19+30j) == 0 (mod 199)
  7. a(16+36j) == 0 (mod 271)
  8. a(5+30j) == 0 (mod 463)
  9. a(17+162j) == 0 (mod 487)
  10. a(15+82j) == 0 (mod 499)
  11. a(22+84j) == 0 (mod 523)
  12. a(93+106j) == 0 (mod 643)
  13. a(47+58j) == 0 (mod 709)
  14. a(17+68j) == 0 (mod 823)
  15. a(53+66j) == 0 (mod 829)
  16. a(123+172j) == 0 (mod 1039)
  17. a(31+102j) == 0 (mod 1237)
  18. a(9+210j) == 0 (mod 1279)
  19. a(26+58j) == 0 (mod 1399)
  20. a(55+58j) == 0 (mod 1399)
  21. a(16+108j) == 0 (mod 1621)
  22. a(6+138j) == 0 (mod 1669)
  23. a(274+292j) == 0 (mod 1759)
  24. a(94+366j) == 0 (mod 2203)
  25. a(277+366j) == 0 (mod 2203)
  26. a(68+300j) == 0 (mod 2251)
  27. a(168+300j) == 0 (mod 2251)
  28. a(268+300j) == 0 (mod 2251)
  29. a(10+44j) == 0 (mod 2383)
  30. a(113+138j) == 0 (mod 2503)
  31. a(82+522j) == 0 (mod 3187)
  32. a(86+270j) == 0 (mod 3253)
  33. a(491+556j) == 0 (mod 3343)
  34. a(94+220j) == 0 (mod 3631)
  35. a(51+606j) == 0 (mod 3643)
  36. a(272+318j) == 0 (mod 3853)
  37. a(270+660j) == 0 (mod 3967)
  38. a(18+156j) == 0 (mod 4057)
  39. a(41+90j) == 0 (mod 4159)
  40. a(61+300j) == 0 (mod 4243)
  41. a(21+72j) == 0 (mod 4591)
  42. a(189+786j) == 0 (mod 4723)
  43. a(42+198j) == 0 (mod 4969)
  44. a(562+862j) == 0 (mod 5179)
  45. a(100+886j) == 0 (mod 5323)
  46. a(543+886j) == 0 (mod 5323)
  47. a(55+104j) == 0 (mod 5407)
  48. a(269+462j) == 0 (mod 5557)
  49. a(393+940j) == 0 (mod 5647)
  50. a(25+92j) == 0 (mod 6079)
  51. a(760+1038j) == 0 (mod 6247)
  52. a(865+1060j) == 0 (mod 6367)
  53. a(1075+1090j) == 0 (mod 6547)
  54. a(315+366j) == 0 (mod 6607)
  55. a(404+1116j) == 0 (mod 6703)
  56. a(109+378j) == 0 (mod 6967)
  57. a(235+378j) == 0 (mod 6967)
  58. a(361+378j) == 0 (mod 6967)
  59. a(394+1170j) == 0 (mod 7027)
  60. a(270+630j) == 0 (mod 7669)
  61. a(204+214j) == 0 (mod 7717)
  62. a(16+84j) == 0 (mod 8527)
  63. a(785+1450j) == 0 (mod 8707)
  64. a(1091+1486j) == 0 (mod 8923)
  65. a(609+772j) == 0 (mod 9277)
  66. a(351+388j) == 0 (mod 9337)
  67. a(656+1548j) == 0 (mod 9343)
  68. a(144+228j) == 0 (mod 9619)
  69. a(261+540j) == 0 (mod 9883)
  70. a(500+1732j) == 0 (mod 10399)
  71. a(458+1758j) == 0 (mod 10567)
  72. a(520+1764j) == 0 (mod 10639)
  73. a(1045+1786j) == 0 (mod 10723)
  74. a(28+410j) == 0 (mod 10957)
  75. a(788+1846j) == 0 (mod 11083)
  76. a(1755+1972j) == 0 (mod 11839)
  77. a(162+1986j) == 0 (mod 11923)
  78. a(1644+2026j) == 0 (mod 12163)
  79. a(208+440j) == 0 (mod 12343)
  80. a(100+348j) == 0 (mod 12391)
  81. a(639+980j) == 0 (mod 13003)
  82. a(496+884j) == 0 (mod 13291)
  83. a(143+190j) == 0 (mod 13687)
  84. a(461+762j) == 0 (mod 13723)
  85. a(1960+2292j) == 0 (mod 13759)
  86. a(166+932j) == 0 (mod 14011)
  87. a(1487+2436j) == 0 (mod 15139)
  88. a(113+2542j) == 0 (mod 15259)
  89. a(1005+1278j) == 0 (mod 15349)
  90. a(1190+1284j) == 0 (mod 15427)
  91. a(417+2628j) == 0 (mod 15823)
  92. a(1048+1210j) == 0 (mod 15973)
  93. a(608+1380j) == 0 (mod 16573)
  94. a(698+718j) == 0 (mod 17257)
  95. a(629+1448j) == 0 (mod 17383)
  96. a(217+242j) == 0 (mod 17449)
  97. a(89+240j) == 0 (mod 18043)
  98. a(442+620j) == 0 (mod 18661)
  99. a(512+1054j) == 0 (mod 18979)
  100. a(1018+1060j) == 0 (mod 19087)
  101. a(2252+3222j) == 0 (mod 19387)
  102. a(1477+2970j) == 0 (mod 19603)
  103. a(1424+3306j) == 0 (mod 19843)
  104. a(332+1116j) == 0 (mod 20107)
  105. a(891+1602j) == 0 (mod 20407)
  106. a(39+3412j) == 0 (mod 20479)
  107. a(2114+3510j) == 0 (mod 21067)
  108. a(590+1590j) == 0 (mod 21187)
  109. a(2232+3546j) == 0 (mod 21283)
  110. a(336+1782j) == 0 (mod 21397)
  111. a(599+684j) == 0 (mod 21661)
  112. a(1806+3642j) == 0 (mod 21859)
  113. a(1396+2916j) == 0 (mod 21871)
  114. a(31+276j) == 0 (mod 21997)
  115. a(2422+3690j) == 0 (mod 22147)
  116. a(2243+3796j) == 0 (mod 22783)
  117. a(1494+1710j) == 0 (mod 23827)
  118. a(797+996j) == 0 (mod 23917)
  119. a(2365+4006j) == 0 (mod 24043)
  120. a(406+468j) == 0 (mod 24169)
  121. a(141+2016j) == 0 (mod 24247)
  122. a(968+2038j) == 0 (mod 24469)
  123. a(1987+2038j) == 0 (mod 24469)
  124. a(3482+4090j) == 0 (mod 24547)
  125. a(332+684j) == 0 (mod 24733)
  126. a(3789+4126j) == 0 (mod 24763)
  127. a(1241+2098j) == 0 (mod 25189)
  128. a(107+684j) == 0 (mod 26107)
  129. a(58+84j) == 0 (mod 26833)
  130. a(1514+1980j) == 0 (mod 26863)
  131. a(1562+4506j) == 0 (mod 27043)
  132. a(163+4546j) == 0 (mod 27283)
  133. a(1343+2280j) == 0 (mod 27367)
  134. a(2216+4636j) == 0 (mod 27823)
  135. a(39+4644j) == 0 (mod 28027)
  136. a(182+1892j) == 0 (mod 28411)
  137. a(1262+2058j) == 0 (mod 28813)
  138. a(925+1620j) == 0 (mod 29179)
  139. a(1746+2100j) == 0 (mod 29443)
  140. a(1817+4932j) == 0 (mod 29599)
  141. a(23+4966j) == 0 (mod 29803)
  142. a(2506+4966j) == 0 (mod 29803)
  143. a(91+1980j) == 0 (mod 29851)
  144. a(3557+5022j) == 0 (mod 30139)
  145. a(1039+2310j) == 0 (mod 30559)
  146. a(81+168j) == 0 (mod 30703)
  147. a(334+700j) == 0 (mod 31531)
  148. a(227+1758j) == 0 (mod 31663)
  149. a(990+1804j) == 0 (mod 32479)
  150. a(117+756j) == 0 (mod 32887)
  151. a(1605+2510j) == 0 (mod 33199)
  152. a(3123+5610j) == 0 (mod 33679)
  153. a(2006+5622j) == 0 (mod 33739)
  154. a(2100+2818j) == 0 (mod 33829)
  155. a(5198+5716j) == 0 (mod 34303)
  156. a(324+2460j) == 0 (mod 34483)
  157. a(596+5806j) == 0 (mod 34843)
  158. a(636+5842j) == 0 (mod 35059)
  159. a(4907+5844j) == 0 (mod 35083)
  160. a(148+5850j) == 0 (mod 35107)
  161. a(599+1340j) == 0 (mod 35509)
  162. a(77+6010j) == 0 (mod 36067)
  163. a(4966+6052j) == 0 (mod 36319)
  164. a(3162+6372j) == 0 (mod 38239)
  165. a(2814+2940j) == 0 (mod 38299)
  166. a(994+1606j) == 0 (mod 38569)
  167. a(2112+3236j) == 0 (mod 38839)
  168. a(1153+3180j) == 0 (mod 39163)
  169. a(4163+6618j) == 0 (mod 39727)
  170. a(2895+6678j) == 0 (mod 40123)
  171. a(77+1710j) == 0 (mod 41047)
  172. a(140+1710j) == 0 (mod 41257)
  173. a(1392+3036j) == 0 (mod 41263)
  174. a(6083+6906j) == 0 (mod 41443)
  175. a(692+1732j) == 0 (mod 41593)
  176. a(1160+6990j) == 0 (mod 41947)
  177. a(4655+6990j) == 0 (mod 41947)
  178. a(1060+2332j) == 0 (mod 41983)
  179. a(2126+3230j) == 0 (mod 42703)
  180. a(1374+2388j) == 0 (mod 43003)
  181. a(2439+3596j) == 0 (mod 43159)
  182. a(88+1446j) == 0 (mod 43399)
  183. a(570+1446j) == 0 (mod 43399)
  184. a(1052+1446j) == 0 (mod 43399)
  185. a(7146+7236j) == 0 (mod 43579)
  186. a(897+3648j) == 0 (mod 43783)
  187. a(598+980j) == 0 (mod 44131)
  188. a(732+3690j) == 0 (mod 44293)
  189. a(394+2964j) == 0 (mod 44491)
  190. a(1002+3588j) == 0 (mod 44839)
  191. a(1285+7522j) == 0 (mod 45139)
  192. a(3364+7540j) == 0 (mod 45247)
  193. a(1217+1820j) == 0 (mod 45589)
  194. a(1469+3044j) == 0 (mod 45691)
  195. a(1635+2556j) == 0 (mod 46027)
  196. a(557+588j) == 0 (mod 46099)
  197. a(2473+3852j) == 0 (mod 46237)
  198. a(1101+3116j) == 0 (mod 46771)
  199. a(7087+7932j) == 0 (mod 47599)
  200. a(347+1134j) == 0 (mod 47629)
  201. a(725+1134j) == 0 (mod 47629)
  202. a(1103+1134j) == 0 (mod 47629)
  203. a(2516+3988j) == 0 (mod 47869)
  204. a(2334+2670j) == 0 (mod 48079)
  205. a(1716+4012j) == 0 (mod 48157)
  206. a(126+468j) == 0 (mod 48337)
  207. a(971+1912j) == 0 (mod 48859)
  208. a(1313+1330j) == 0 (mod 49279)
  209. a(799+2766j) == 0 (mod 49807)
  210. a(359+1260j) == 0 (mod 49843)
  211. a(6013+8422j) == 0 (mod 50539)
  212. a(1348+4258j) == 0 (mod 51109)
  213. a(162+1940j) == 0 (mod 51349)
  214. a(550+1940j) == 0 (mod 51349)
  215. a(938+1940j) == 0 (mod 51349)
  216. a(1326+1940j) == 0 (mod 51349)
  217. a(1714+1940j) == 0 (mod 51349)
  218. a(380+420j) == 0 (mod 51907)
  219. a(1223+1732j) == 0 (mod 51991)
  220. a(1868+4348j) == 0 (mod 52189)
  221. a(6197+8814j) == 0 (mod 52903)
  222. a(173+270j) == 0 (mod 53623)
  223. a(1300+4572j) == 0 (mod 54973)
  224. a(2824+4572j) == 0 (mod 54973)
  225. a(4348+4572j) == 0 (mod 54973)
  226. a(1758+3066j) == 0 (mod 55207)
  227. a(1725+3692j) == 0 (mod 55411)
  228. a(707+1326j) == 0 (mod 55819)
  229. a(1329+1428j) == 0 (mod 55927)
  230. a(436+932j) == 0 (mod 56041)
  231. a(3915+4260j) == 0 (mod 56299)
  232. a(3943+4748j) == 0 (mod 56983)
  233. a(2929+4698j) == 0 (mod 57349)
  234. a(3257+4620j) == 0 (mod 58099)
  235. a(696+9766j) == 0 (mod 58603)
  236. a(451+780j) == 0 (mod 59149)
  237. a(2092+9922j) == 0 (mod 59539)
  238. a(871+4860j) == 0 (mod 59779)
  239. a(2491+4860j) == 0 (mod 59779)
  240. a(4111+4860j) == 0 (mod 59779)
  241. a(2966+4530j) == 0 (mod 59863)
  242. a(797+4970j) == 0 (mod 60493)
  243. a(1580+4052j) == 0 (mod 60811)
  244. a(6103+10222j) == 0 (mod 61339)
  245. a(503+2060j) == 0 (mod 61861)
  246. a(5977+10330j) == 0 (mod 61987)
  247. a(884+1044j) == 0 (mod 62761)
  248. a(1778+5274j) == 0 (mod 63397)
  249. a(3582+4530j) == 0 (mod 63463)
  250. a(2487+4770j) == 0 (mod 63559)
  251. a(229+3590j) == 0 (mod 64627)
  252. a(2656+10860j) == 0 (mod 65167)
  253. a(271+2520j) == 0 (mod 65179)
  254. a(1201+10866j) == 0 (mod 65203)
  255. a(842+2718j) == 0 (mod 65257)
  256. a(1167+5258j) == 0 (mod 66103)
  257. a(832+2340j) == 0 (mod 66463)
  258. a(4318+11082j) == 0 (mod 66499)
  259. a(711+1716j) == 0 (mod 67003)
  260. a(7489+11322j) == 0 (mod 67987)
  261. a(4499+11482j) == 0 (mod 68899)
  262. a(3292+11502j) == 0 (mod 69019)
  263. a(7319+11526j) == 0 (mod 69163)
  264. a(914+1662j) == 0 (mod 69847)
  265. a(1270+2640j) == 0 (mod 70423)
  266. a(1410+2938j) == 0 (mod 70537)
  267. a(8321+11806j) == 0 (mod 70843)
  268. a(420+1980j) == 0 (mod 71389)
  269. a(1080+1980j) == 0 (mod 71389)
  270. a(1740+1980j) == 0 (mod 71389)
  271. a(1292+2844j) == 0 (mod 72277)
  272. a(4026+6048j) == 0 (mod 72739)
  273. a(6771+12226j) == 0 (mod 73363)
  274. a(1824+6020j) == 0 (mod 73699)
  275. a(3897+5676j) == 0 (mod 73867)
  276. a(8692+12322j) == 0 (mod 73939)
  277. a(6854+12348j) == 0 (mod 74143)
  278. a(405+2064j) == 0 (mod 74323)
  279. a(1093+2064j) == 0 (mod 74323)
  280. a(1781+2064j) == 0 (mod 74323)
  281. a(2212+12486j) == 0 (mod 74923)
  282. a(8455+12486j) == 0 (mod 74923)
  283. a(407+1050j) == 0 (mod 75619)
  284. a(5378+12612j) == 0 (mod 75679)
  285. a(1720+6210j) == 0 (mod 76423)
  286. a(4825+6210j) == 0 (mod 76423)
  287. a(10022+12762j) == 0 (mod 76579)
  288. a(43+1070j) == 0 (mod 77047)
  289. a(9449+12940j) == 0 (mod 77647)
  290. a(75+420j) == 0 (mod 78691)
  291. a(5678+13188j) == 0 (mod 79147)
  292. a(5245+6474j) == 0 (mod 79159)
  293. a(6101+13462j) == 0 (mod 80779)
  294. a(10868+13446j) == 0 (mod 81163)
  295. a(7451+13548j) == 0 (mod 81307)
  296. a(1160+6788j) == 0 (mod 81463)
  297. a(4922+6802j) == 0 (mod 81637)
  298. a(2355+2970j) == 0 (mod 81973)
  299. a(6150+6848j) == 0 (mod 82183)
  300. a(5589+13722j) == 0 (mod 82339)
  301. a(847+13996j) == 0 (mod 83983)
  302. a(4443+14010j) == 0 (mod 84067)
  303. a(5406+7016j) == 0 (mod 84199)
  304. a(2495+7018j) == 0 (mod 84229)
  305. a(13428+14086j) == 0 (mod 84523)
  306. a(768+2820j) == 0 (mod 84691)
  307. a(3460+7020j) == 0 (mod 86179)
  308. a(1599+1764j) == 0 (mod 86287)
  309. a(11635+14386j) == 0 (mod 86323)
  310. a(5411+14410j) == 0 (mod 86467)
  311. a(2477+14460j) == 0 (mod 86767)
  312. a(524+3702j) == 0 (mod 88867)
  313. a(673+2422j) == 0 (mod 89527)
  314. a(743+2430j) == 0 (mod 90397)
  315. a(14496+15090j) == 0 (mod 90547)
  316. a(3281+3516j) == 0 (mod 91573)
  317. a(1031+5118j) == 0 (mod 92143)
  318. a(406+3840j) == 0 (mod 92173)
  319. a(824+6990j) == 0 (mod 92467)
  320. a(12474+15412j) == 0 (mod 92479)
  321. a(1361+15438j) == 0 (mod 92647)
  322. a(1230+7598j) == 0 (mod 93103)
  323. a(13666+15580j) == 0 (mod 93487)
  324. a(516+780j) == 0 (mod 93901)
  325. a(1872+15660j) == 0 (mod 93967)
  326. a(1936+2562j) == 0 (mod 94687)
  327. a(145+16126j) == 0 (mod 96763)
  328. a(8208+16126j) == 0 (mod 96763)
  329. a(4608+5406j) == 0 (mod 97327)
  330. a(5048+16230j) == 0 (mod 97387)
  331. a(12+60j) == 0 (mod 97651)
  332. a(932+7410j) == 0 (mod 97879)
  333. a(7480+16362j) == 0 (mod 98179)
  334. a(839+1636j) == 0 (mod 98221)
  335. a(2664+7956j) == 0 (mod 98347)
  336. a(1624+4098j) == 0 (mod 98377)
  337. a(3766+8230j) == 0 (mod 98773)
  338. a(10+1944j) == 0 (mod 99349)
  339. a(2362+3928j) == 0 (mod 100267)
  340. a(5489+8362j) == 0 (mod 100357)
  341. a(5253+8300j) == 0 (mod 101203)
  342. a(814+1628j) == 0 (mod 102811)
  343. a(8086+8572j) == 0 (mod 102877)
  344. a(3050+17182j) == 0 (mod 103099)
  345. a(11641+17182j) == 0 (mod 103099)
  346. a(7604+7830j) == 0 (mod 103423)
  347. a(3094+17326j) == 0 (mod 103963)
  348. a(440+2168j) == 0 (mod 104089)
  349. a(2504+17350j) == 0 (mod 104107)
  350. a(11179+17350j) == 0 (mod 104107)
  351. a(14173+17386j) == 0 (mod 104323)
  352. a(7763+7910j) == 0 (mod 104479)
  353. a(16397+17418j) == 0 (mod 104527)
  354. a(1343+1740j) == 0 (mod 104701)
  355. a(2720+8730j) == 0 (mod 104773)
  356. a(637+6996j) == 0 (mod 104971)
  357. a(49+1260j) == 0 (mod 105883)
  358. a(935+1470j) == 0 (mod 105913)
  359. a(1738+2954j) == 0 (mod 106357)
  360. a(4044+7092j) == 0 (mod 106411)
  361. a(17480+17748j) == 0 (mod 106543)
  362. a(477+8886j) == 0 (mod 106669)
  363. a(3439+8886j) == 0 (mod 106669)
  364. a(6401+8886j) == 0 (mod 106669)
  365. a(679+1332j) == 0 (mod 106783)
  366. a(14834+17814j) == 0 (mod 106903)
  367. a(398+17890j) == 0 (mod 107347)
  368. a(459+588j) == 0 (mod 107563)
  369. a(4202+18076j) == 0 (mod 108463)
  370. a(4991+8268j) == 0 (mod 108499)
  371. a(1961+3500j) == 0 (mod 108751)
  372. a(1133+3948j) == 0 (mod 110587)
  373. a(3271+3700j) == 0 (mod 111031)
  374. a(1332+4260j) == 0 (mod 112663)
  375. a(2752+4260j) == 0 (mod 112663)
  376. a(4172+4260j) == 0 (mod 112663)
  377. a(1614+3756j) == 0 (mod 112741)
  378. a(4006+18804j) == 0 (mod 112843)
  379. a(12107+18858j) == 0 (mod 113167)
  380. a(6824+7556j) == 0 (mod 113371)
  381. a(695+1356j) == 0 (mod 113947)
  382. a(1107+4488j) == 0 (mod 114547)
  383. a(9216+19140j) == 0 (mod 114847)
  384. a(2180+3820j) == 0 (mod 114901)
  385. a(2963+9732j) == 0 (mod 116797)
  386. a(30+648j) == 0 (mod 117127)
  387. a(742+2070j) == 0 (mod 117877)
  388. a(7503+7892j) == 0 (mod 118411)
  389. a(3842+19908j) == 0 (mod 119503)
  390. a(1344+19972j) == 0 (mod 119839)
  391. a(5928+20046j) == 0 (mod 120283)
  392. a(5048+8634j) == 0 (mod 120919)
  393. a(19911+20154j) == 0 (mod 120943)
  394. a(114+10218j) == 0 (mod 122653)
  395. a(3520+10218j) == 0 (mod 122653)
  396. a(6926+10218j) == 0 (mod 122653)
  397. a(3839+10034j) == 0 (mod 122839)
  398. a(13501+20550j) == 0 (mod 123307)
  399. a(6268+8814j) == 0 (mod 123439)
  400. a(1154+3346j) == 0 (mod 123583)
  401. a(1217+5178j) == 0 (mod 124297)
  402. a(862+4140j) == 0 (mod 124351)
  403. a(4177+10390j) == 0 (mod 124693)
  404. a(3938+5230j) == 0 (mod 125527)
  405. a(15783+20980j) == 0 (mod 125887)
  406. a(2801+8994j) == 0 (mod 125959)
  407. a(7298+8994j) == 0 (mod 125959)
  408. a(12335+21142j) == 0 (mod 126859)
  409. a(1433+5180j) == 0 (mod 126949)
  410. a(17839+21186j) == 0 (mod 127123)
  411. a(2863+8484j) == 0 (mod 127291)
  412. a(7105+8484j) == 0 (mod 127291)
  413. a(535+10452j) == 0 (mod 127507)
  414. a(2163+21340j) == 0 (mod 128047)
  415. a(7261+10530j) == 0 (mod 128119)
  416. a(9130+10722j) == 0 (mod 128677)
  417. a(2736+5364j) == 0 (mod 128749)
  418. a(1511+7236j) == 0 (mod 130267)
  419. a(581+21738j) == 0 (mod 130447)
  420. a(1575+1818j) == 0 (mod 131113)
  421. a(7039+9930j) == 0 (mod 131143)
  422. a(149+420j) == 0 (mod 131371)
  423. a(954+1430j) == 0 (mod 132199)
  424. a(940+1332j) == 0 (mod 132313)
  425. a(15618+22122j) == 0 (mod 132739)
  426. a(7406+11092j) == 0 (mod 133117)
  427. a(9900+22342j) == 0 (mod 134059)
  428. a(21071+22342j) == 0 (mod 134059)
  429. a(4618+5478j) == 0 (mod 134269)
  430. a(10506+22446j) == 0 (mod 134683)
  431. a(21729+22446j) == 0 (mod 134683)
  432. a(3168+10674j) == 0 (mod 135319)
  433. a(21379+22642j) == 0 (mod 135859)
  434. a(74+11422j) == 0 (mod 137077)
  435. a(8154+22852j) == 0 (mod 137119)
  436. a(940+11550j) == 0 (mod 138637)
  437. a(4790+11550j) == 0 (mod 138637)
  438. a(8640+11550j) == 0 (mod 138637)
  439. a(1289+2478j) == 0 (mod 138937)
  440. a(2050+2580j) == 0 (mod 139339)
  441. a(1161+23332j) == 0 (mod 139999)
  442. a(9899+11718j) == 0 (mod 140629)
  443. a(5772+11730j) == 0 (mod 140797)
  444. a(6138+11748j) == 0 (mod 140983)
  445. a(7735+11754j) == 0 (mod 141157)
  446. a(1909+23602j) == 0 (mod 141619)
  447. a(234+11820j) == 0 (mod 141853)
  448. a(6555+11904j) == 0 (mod 142867)
  449. a(63+23826j) == 0 (mod 142963)
  450. a(232+11932j) == 0 (mod 143197)
  451. a(22743+24042j) == 0 (mod 144259)
  452. a(6309+9660j) == 0 (mod 144931)
  453. a(412+468j) == 0 (mod 145009)
  454. a(18643+24202j) == 0 (mod 145219)
  455. a(5837+6048j) == 0 (mod 145477)
  456. a(1323+6070j) == 0 (mod 145687)
  457. a(16868+24316j) == 0 (mod 145903)
  458. a(3961+12202j) == 0 (mod 146437)
  459. a(3875+6120j) == 0 (mod 146989)
  460. a(10203+24526j) == 0 (mod 147163)
  461. a(22466+24526j) == 0 (mod 147163)
  462. a(4851+24546j) == 0 (mod 147283)
  463. a(8101+12300j) == 0 (mod 147613)
  464. a(22404+24690j) == 0 (mod 148147)
  465. a(6087+12412j) == 0 (mod 148957)
  466. a(2967+6216j) == 0 (mod 149197)
  467. a(699+24870j) == 0 (mod 149239)
  468. a(8989+24870j) == 0 (mod 149239)
  469. a(17279+24870j) == 0 (mod 149239)
  470. a(2333+9900j) == 0 (mod 149251)
  471. a(1204+12490j) == 0 (mod 149893)
  472. a(20182+25036j) == 0 (mod 150223)
  473. a(19328+25146j) == 0 (mod 150883)
  474. a(20565+25236j) == 0 (mod 151423)
  475. a(22096+25372j) == 0 (mod 152239)
  476. a(1069+6366j) == 0 (mod 152809)
  477. a(4252+6366j) == 0 (mod 152809)
  478. a(863+6288j) == 0 (mod 153067)
  479. a(7324+25716j) == 0 (mod 154303)
  480. a(1881+12910j) == 0 (mod 154933)
  481. a(7817+10356j) == 0 (mod 155371)
  482. a(7070+12958j) == 0 (mod 155509)
  483. a(17176+25932j) == 0 (mod 155599)
  484. a(17785+26002j) == 0 (mod 156019)
  485. a(3254+12740j) == 0 (mod 156139)
  486. a(3859+4284j) == 0 (mod 156307)
  487. a(2883+26262j) == 0 (mod 157579)
  488. a(526+26356j) == 0 (mod 158143)
  489. a(9588+13188j) == 0 (mod 158293)
  490. a(6410+13196j) == 0 (mod 158359)
  491. a(5900+26418j) == 0 (mod 158527)
  492. a(756+12606j) == 0 (mod 158563)
  493. a(3619+6280j) == 0 (mod 160243)
  494. a(3552+13368j) == 0 (mod 160423)
  495. a(6524+26982j) == 0 (mod 161947)
  496. a(21521+27174j) == 0 (mod 163063)
  497. a(12223+27406j) == 0 (mod 164443)
  498. a(18761+27436j) == 0 (mod 164623)
  499. a(11544+13722j) == 0 (mod 164677)
  500. a(3525+27486j) == 0 (mod 165079)
  501. a(12687+27486j) == 0 (mod 165079)
  502. a(21849+27486j) == 0 (mod 165079)
  503. a(5090+27610j) == 0 (mod 165667)
  504. a(12696+13808j) == 0 (mod 165703)
  505. a(19430+27646j) == 0 (mod 165883)
  506. a(976+4620j) == 0 (mod 166357)
  507. a(24358+27732j) == 0 (mod 166399)
  508. a(3033+27810j) == 0 (mod 167023)
  509. a(12303+27810j) == 0 (mod 167023)
  510. a(21573+27810j) == 0 (mod 167023)
  511. a(3131+7004j) == 0 (mod 168109)
  512. a(12019+12948j) == 0 (mod 169339)
  513. a(3625+7068j) == 0 (mod 169657)
  514. a(1400+4722j) == 0 (mod 170029)
  515. a(9928+13962j) == 0 (mod 170167)
  516. a(1543+9450j) == 0 (mod 170263)
  517. a(184+894j) == 0 (mod 171793)
  518. a(8232+14340j) == 0 (mod 172093)
  519. a(23645+28750j) == 0 (mod 172507)
  520. a(705+7188j) == 0 (mod 172519)
  521. a(16761+28836j) == 0 (mod 173023)
  522. a(625+2346j) == 0 (mod 173149)
  523. a(15620+28932j) == 0 (mod 173599)
  524. a(4889+6580j) == 0 (mod 173779)
  525. a(54+4572j) == 0 (mod 174079)
  526. a(1929+14550j) == 0 (mod 174613)
  527. a(10680+29220j) == 0 (mod 175327)
  528. a(9504+14620j) == 0 (mod 175453)
  529. a(722+2666j) == 0 (mod 175963)
  530. a(6701+29362j) == 0 (mod 176179)
  531. a(681+29382j) == 0 (mod 176299)
  532. a(3147+14698j) == 0 (mod 176389)
  533. a(2026+26730j) == 0 (mod 176419)
  534. a(3379+4902j) == 0 (mod 176509)
  535. a(2284+3588j) == 0 (mod 176809)
  536. a(1165+29550j) == 0 (mod 177319)
  537. a(341+2956j) == 0 (mod 177421)
  538. a(3307+29658j) == 0 (mod 177967)
  539. a(13193+29658j) == 0 (mod 177967)
  540. a(23079+29658j) == 0 (mod 177967)
  541. a(4949+9906j) == 0 (mod 178327)
  542. a(11851+14890j) == 0 (mod 178693)
  543. a(13849+14898j) == 0 (mod 178813)
  544. a(25945+29850j) == 0 (mod 179107)
  545. a(18400+29866j) == 0 (mod 179203)
  546. a(3841+4212j) == 0 (mod 180307)
  547. a(4796+6018j) == 0 (mod 180547)
  548. a(4999+30180j) == 0 (mod 181087)
  549. a(28370+30292j) == 0 (mod 181759)
  550. a(25867+30340j) == 0 (mod 182047)
  551. a(586+30414j) == 0 (mod 182503)
  552. a(14423+30430j) == 0 (mod 182587)
  553. a(29638+30430j) == 0 (mod 182587)
  554. a(4202+4692j) == 0 (mod 183067)
  555. a(30162+30540j) == 0 (mod 183259)
  556. a(2242+3270j) == 0 (mod 183289)
  557. a(29988+30556j) == 0 (mod 183343)
  558. a(4417+30636j) == 0 (mod 183823)
  559. a(12600+15348j) == 0 (mod 184189)
  560. a(988+15358j) == 0 (mod 184309)
  561. a(8667+15358j) == 0 (mod 184309)
  562. a(742+2460j) == 0 (mod 184651)
  563. a(14860+30810j) == 0 (mod 184879)
  564. a(13835+15560j) == 0 (mod 186727)
  565. a(1021+7644j) == 0 (mod 186757)
  566. a(21080+31146j) == 0 (mod 186883)
  567. a(1852+3672j) == 0 (mod 187273)
  568. a(26745+31230j) == 0 (mod 187387)
  569. a(16435+31306j) == 0 (mod 187843)
  570. a(13975+31356j) == 0 (mod 188143)
  571. a(20814+31510j) == 0 (mod 189067)
  572. a(8672+31530j) == 0 (mod 189187)
  573. a(193+2508j) == 0 (mod 189199)
  574. a(3369+3510j) == 0 (mod 189559)
  575. a(908+10574j) == 0 (mod 190339)
  576. a(5724+16028j) == 0 (mod 192343)
  577. a(13824+16050j) == 0 (mod 192637)
  578. a(23390+32140j) == 0 (mod 192847)
  579. a(4028+15908j) == 0 (mod 193723)
  580. a(1412+6460j) == 0 (mod 194101)
  581. a(2745+10836j) == 0 (mod 195103)
  582. a(6357+10836j) == 0 (mod 195103)
  583. a(9969+10836j) == 0 (mod 195103)
  584. a(10077+16272j) == 0 (mod 195319)
  585. a(1890+13060j) == 0 (mod 196051)
  586. a(13087+32716j) == 0 (mod 196303)
  587. a(4075+32844j) == 0 (mod 197083)
  588. a(9916+16170j) == 0 (mod 197383)
  589. a(10136+16446j) == 0 (mod 197389)
  590. a(2689+10986j) == 0 (mod 197767)
  591. a(1873+4124j) == 0 (mod 197959)
  592. a(2823+4126j) == 0 (mod 198097)
  593. a(6531+33210j) == 0 (mod 199267)
  594. a(16096+16702j) == 0 (mod 200437)
  595. a(1341+1396j) == 0 (mod 201049)
  596. a(4779+7188j) == 0 (mod 201307)
  597. a(3005+7194j) == 0 (mod 201517)
  598. a(6602+7194j) == 0 (mod 201517)
  599. a(22067+33702j) == 0 (mod 202219)
  600. a(21741+34002j) == 0 (mod 204067)
  601. a(14122+34050j) == 0 (mod 204319)
  602. a(11379+34060j) == 0 (mod 204367)
  603. a(6844+7860j) == 0 (mod 204439)
  604. a(986+5700j) == 0 (mod 205237)
  605. a(2820+17122j) == 0 (mod 205477)
  606. a(2368+34252j) == 0 (mod 205519)
  607. a(3401+34326j) == 0 (mod 205963)
  608. a(20564+34326j) == 0 (mod 205963)
  609. a(588+34402j) == 0 (mod 206419)
  610. a(1777+34420j) == 0 (mod 206527)
  611. a(475+5580j) == 0 (mod 207127)
  612. a(3685+4932j) == 0 (mod 207187)
  613. a(1632+3816j) == 0 (mod 207367)
  614. a(11339+34590j) == 0 (mod 207547)
  615. a(24309+34606j) == 0 (mod 207643)
  616. a(5652+17332j) == 0 (mod 207997)
  617. a(6830+8586j) == 0 (mod 208009)
  618. a(8658+17350j) == 0 (mod 208213)
  619. a(17333+17350j) == 0 (mod 208213)
  620. a(6047+34860j) == 0 (mod 209179)
  621. a(17667+34860j) == 0 (mod 209179)
  622. a(29287+34860j) == 0 (mod 209179)
  623. a(28505+34876j) == 0 (mod 209263)
  624. a(9546+11628j) == 0 (mod 209359)
  625. a(23587+34980j) == 0 (mod 209887)
  626. a(11901+35022j) == 0 (mod 210139)
  627. a(29412+35022j) == 0 (mod 210139)
  628. a(8396+16188j) == 0 (mod 210523)
  629. a(25692+35106j) == 0 (mod 210643)
  630. a(3905+35148j) == 0 (mod 210907)
  631. a(8628+8818j) == 0 (mod 211657)
  632. a(18985+35290j) == 0 (mod 211747)
  633. a(22183+35364j) == 0 (mod 212203)
  634. a(1812+3220j) == 0 (mod 212587)
  635. a(3939+8736j) == 0 (mod 212827)
  636. a(22464+35506j) == 0 (mod 213043)
  637. a(2438+8886j) == 0 (mod 213337)
  638. a(5266+8596j) == 0 (mod 213847)
  639. a(1455+35724j) == 0 (mod 214363)
  640. a(13363+35724j) == 0 (mod 214363)
  641. a(25271+35724j) == 0 (mod 214363)
  642. a(14318+35796j) == 0 (mod 214783)
  643. a(3888+17138j) == 0 (mod 215143)
  644. a(6189+7164j) == 0 (mod 215191)
  645. a(4106+8998j) == 0 (mod 215959)
  646. a(9796+14412j) == 0 (mod 216211)
  647. a(767+36054j) == 0 (mod 216379)
  648. a(5597+14492j) == 0 (mod 217411)
  649. a(3904+5178j) == 0 (mod 217519)
  650. a(3897+18156j) == 0 (mod 217909)
  651. a(1951+18216j) == 0 (mod 218599)
  652. a(1288+5986j) == 0 (mod 218623)
  653. a(329+4140j) == 0 (mod 218857)
  654. a(9395+36290j) == 0 (mod 218887)
  655. a(4550+6084j) == 0 (mod 219133)
  656. a(1645+3918j) == 0 (mod 219577)
  657. a(10505+17388j) == 0 (mod 220807)
  658. a(3359+9202j) == 0 (mod 220873)
  659. a(203+1368j) == 0 (mod 220933)
  660. a(1832+3948j) == 0 (mod 221173)
  661. a(16686+18078j) == 0 (mod 222499)
  662. a(2205+3708j) == 0 (mod 222511)
  663. a(2665+5620j) == 0 (mod 222619)
  664. a(20048+37180j) == 0 (mod 223087)
  665. a(17314+17948j) == 0 (mod 223243)
  666. a(22497+37222j) == 0 (mod 223339)
  667. a(15468+17798j) == 0 (mod 223423)
  668. a(841+6156j) == 0 (mod 223963)
  669. a(6615+9342j) == 0 (mod 224233)
  670. a(2809+3060j) == 0 (mod 224359)
  671. a(24168+37642j) == 0 (mod 225859)
  672. a(3885+18828j) == 0 (mod 225943)
  673. a(1545+15084j) == 0 (mod 226531)
  674. a(9087+15084j) == 0 (mod 226531)
  675. a(1410+18898j) == 0 (mod 226789)
  676. a(2736+3102j) == 0 (mod 227533)
  677. a(18294+18966j) == 0 (mod 227629)
  678. a(6949+9500j) == 0 (mod 228013)
  679. a(11772+18540j) == 0 (mod 228883)
  680. a(20324+38236j) == 0 (mod 229423)
  681. a(10161+19140j) == 0 (mod 229693)
  682. a(2048+9434j) == 0 (mod 229837)
  683. a(8237+38326j) == 0 (mod 229963)
  684. a(27400+38326j) == 0 (mod 229963)
  685. a(8801+17380j) == 0 (mod 230143)
  686. a(11572+18974j) == 0 (mod 230479)
  687. a(20340+38446j) == 0 (mod 230683)
  688. a(12797+38460j) == 0 (mod 230779)
  689. a(18034+38652j) == 0 (mod 231919)
  690. a(9075+9162j) == 0 (mod 232333)
  691. a(3116+3324j) == 0 (mod 232891)
  692. a(14578+18546j) == 0 (mod 233083)
  693. a(947+3100j) == 0 (mod 233251)
  694. a(1685+6342j) == 0 (mod 234007)
  695. a(7156+9328j) == 0 (mod 234187)
  696. a(1507+1958j) == 0 (mod 234967)
  697. a(7600+39162j) == 0 (mod 234979)
  698. a(25530+39442j) == 0 (mod 236659)
  699. a(868+3948j) == 0 (mod 236917)
  700. a(2669+16950j) == 0 (mod 237343)
  701. a(18117+39580j) == 0 (mod 237487)
  702. a(1229+6410j) == 0 (mod 238639)
  703. a(5958+6656j) == 0 (mod 239623)
  704. a(970+1996j) == 0 (mod 239641)
  705. a(1156+6630j) == 0 (mod 241303)
  706. a(37524+40276j) == 0 (mod 241663)
  707. a(40062+40284j) == 0 (mod 241867)
  708. a(7653+20184j) == 0 (mod 242227)
  709. a(2825+6580j) == 0 (mod 242779)
  710. a(12117+17346j) == 0 (mod 242887)
  711. a(36734+40486j) == 0 (mod 242923)
  712. a(16614+18420j) == 0 (mod 243343)
  713. a(31721+40750j) == 0 (mod 244507)
  714. a(16829+40882j) == 0 (mod 245299)
  715. a(2882+41034j) == 0 (mod 246223)
  716. a(9721+41034j) == 0 (mod 246223)
  717. a(16560+41034j) == 0 (mod 246223)
  718. a(23399+41034j) == 0 (mod 246223)
  719. a(30238+41034j) == 0 (mod 246223)
  720. a(37077+41034j) == 0 (mod 246223)
  721. a(19350+41070j) == 0 (mod 246439)
  722. a(1727+20550j) == 0 (mod 246613)
  723. a(1566+5144j) == 0 (mod 246937)
  724. a(19971+20148j) == 0 (mod 247879)
  725. a(14033+20730j) == 0 (mod 248797)
  726. a(145+20770j) == 0 (mod 249253)
  727. a(36707+41596j) == 0 (mod 249583)
  728. a(6757+20868j) == 0 (mod 250423)
  729. a(5436+6990j) == 0 (mod 251677)
  730. a(14993+41980j) == 0 (mod 251887)
  731. a(17218+21012j) == 0 (mod 252157)
  732. a(15099+21012j) == 0 (mod 252163)
  733. a(11908+21022j) == 0 (mod 252277)
  734. a(978+2628j) == 0 (mod 252313)
  735. a(8527+42066j) == 0 (mod 252559)
  736. a(22549+42066j) == 0 (mod 252559)
  737. a(36571+42066j) == 0 (mod 252559)
  738. a(34021+42150j) == 0 (mod 252919)
  739. a(2091+3900j) == 0 (mod 253501)
  740. a(36014+42258j) == 0 (mod 253567)
  741. a(24029+42436j) == 0 (mod 254623)
  742. a(8+2100j) == 0 (mod 255127)
  743.  
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