# List of S-integral points (x,y) on the Mordell curve
# y^2 = x^3 + 47550317, of rank 7, where
# S is the set of the first 40 primes.
# It contains 466 points in total.
# For each point P, only one of +P, -P is listed.
# Format: "(P(x),P(y))".
# Computing this list took 247348 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
(-37,6892)
(-121,6766)
(-277,5128)
(359,9686)
(641/4,57503/8)
(-1399/4,17467/8)
(2033/4,106985/8)
(67/9,186184/27)
(2047/9,207946/27)
(7433/4,643205/8)
(8327,759890)
(473/16,441443/64)
(1409/16,444481/64)
(-5743/16,73145/64)
(8191/9,764342/27)
(10727,1111030)
(-1103/36,1489015/216)
(23003,3488812)
(-15529/49,1359938/343)
(-8143/64,3453271/512)
(39007/9,7706206/27)
(1879/81,5027606/729)
(33737/64,7131899/512)
(40811/49,8577092/343)
(54137/4,12596371/8)
(49687/81,12162950/729)
(25859/121,10076204/1331)
(-39661/121,4674584/1331)
(-28943/144,10850761/1728)
(69641/100,19629061/1000)
(92497/144,30550951/1728)
(-65561/225,16119262/3375)
(-77561/225,8662762/3375)
(-31993/289,33391654/4913)
(167219/25,68385328/125)
(-88199/324,30515347/5832)
(-114959/324,9901673/5832)
(209921/4,96179807/8)
(140489/256,59754629/4096)
(39449/400,55719043/8000)
(196219/225,89980172/3375)
(236881/144,115905113/1728)
(147209/400,78951323/8000)
(-26917/529,83783360/12167)
(-185893/529,24807184/12167)
(6673/576,95327353/13824)
(-113551/676,114999721/17576)
(406417/144,259368121/1728)
(414089/256,267957979/4096)
(526433/256,383000047/4096)
(132449/1156,275280689/39304)
(100031/1225,297339946/42875)
(125939/1225,299011012/42875)
(51889/1296,321941609/46656)
(692393/484,580801205/10648)
(-468647/1296,24036317/46656)
(612617/1024,530067611/32768)
(568531/2025,760665196/91125)
(-648161/2601,751271194/132651)
(1899137/4,2617185121/8)
(1498841/1600,1887312611/64000)
(1814929/576,2446917191/13824)
(1575841/1764,2043098513/74088)
(572879/3481,1481118194/205379)
(-1146013/3481,707521300/205379)
(1915577/1444,2678106931/54872)
(1424113/2916,2016741527/157464)
(1260523/3249,1906220060/185193)
(1859299/2601,2695235104/132651)
(-887239/4900,2212649741/343000)
(2212001/2704,3429767567/140608)
(-1161271/4900,2007041317/343000)
(1973681/4624,3519870743/314432)
(3434891/529,6366593972/12167)
(2780891/3025,4777220936/166375)
(3300473/1156,6002158867/39304)
(3575921/64,6762105353/512)
(3500807/2209,6589174394/103823)
(1779403/6561,4366198952/531441)
(1531147/7569,4920233876/658503)
(4696679,10178559466)
(2673257/6724,5793057749/551368)
(-2751487/7744,1118897665/681472)
(-927463/8464,5294769149/778688)
(-2924557/8281,1410151952/753571)
(-2879929/9409,3965094898/912673)
(5860031/5929,14530787998/456533)
(-42853/14161,11620303360/1685159)
(7447043/3721,20382621712/226981)
(6813223/6561,18157628638/531441)
(5174609/11236,14353026041/1191016)
(-5043169/15625,7288645646/1953125)
(10005257/1024,31648522651/32768)
(-4096439/17424,13520081467/2299968)
(9751531/3249,30478301668/185193)
(7606211/11449,22614449492/1225043)
(2308049/21316,21744851641/3112136)
(12152953/2916,42380425747/157464)
(1115809/22500,23302726127/3375000)
(10393139/10201,34250763944/1030301)
(3361009/22500,24074780777/3375000)
(13209137/1156,48008549815/39304)
(-7734961/22201,7585566406/3307949)
(5650103/22801,27276899438/3442951)
(9197897/20164,34175890789/2863288)
(14557961/3844,55570055803/238328)
(-9133157/25281,2543852348/4019679)
(15255899/4225,59617795732/274625)
(7889321/25600,35899919381/4096000)
(-9982927/27556,254435767/4574296)
(-3962359/31684,38081667067/5639752)
(16431959/14641,67720119806/1771561)
(-3812143/38416,51384956825/7529536)
(14400503/27889,63385775750/4657463)
(21221843/11881,98170037948/1295029)
(-10106689/42025,49968521566/8615125)
(23741519/19321,117154159414/2685619)
(14940403/47961,92632654448/10503459)
(-7198189/55225,87382533184/12977875)
(-5803957/61009,102967396940/15069223)
(-11188031/60516,95591389121/14886936)
(-5433439/62500,106997928559/15625000)
(18302233/54756,118055454947/12812904)
(33870649/14400,197481897107/1728000)
(37788241/6084,232315455367/474552)
(36608681/40804,228677130677/8242408)
(46913953/1764,321331714705/74088)
(44863619/17161,300897505856/2248091)
(45714097/26244,310470352649/4251528)
(44158063/68121,318019856122/17779581)
(20765953/104976,252908072063/34012224)
(25455323/101761,258072221788/32461759)
(-21530351/108900,226780042393/35937000)
(-24117719/108900,217672445429/35937000)
(64899131/2209,522827869372/103823)
(49250011/65025,364050288116/16581375)
(56534399/48841,431545735366/10793861)
(57852041/48400,446109688411/10648000)
(17918561/136900,357427339441/50653000)
(81888539/1681,741028264904/68921)
(-8273057/145161,380631398878/55306341)
(33285193/138384,403594542395/51478848)
(-37395767/147456,316478779003/56623104)
(92268571/7569,886311514792/658503)
(-2082313/165649,464890706494/67419143)
(-34349743/163216,407699288665/65939264)
(16518769/171396,493887371689/70957944)
(41382727/159201,512573868710/63521199)
(-30816229/172225,462216158444/71473375)
(30772913/169744,511568176745/69934528)
(100201103/19321,1003189010042/2685619)
(-27124471/184900,529741769083/79507000)
(111033281/64,1169983561633/512)
(118812947/11449,1295104734016/1225043)
(-49836103/204304,530771911981/92345408)
(-47182157/205209,553056325280/92959677)
(-48785021/210681,573196485556/96702579)
(-75912367/215296,192530933593/99897344)
(76684553/188356,876755188357/81746504)
(110990329/112896,1198204702451/37933056)
(-15765773/257049,896487762104/130323843)
(165883513/4356,2136510458387/287496)
(165955273/79524,2143481578075/22425768)
(55698977/327184,1355817637199/187149248)
(47225303/339889,1404425529790/198155287)
(-112488359/324900,455434695811/185193000)
(173922401/135424,2319283591697/49836032)
(191806879/84681,2661846376094/24642171)
(235457681/400,3613011081671/8000)
(-89484127/414736,1635715070863/267089984)
(158572193/334084,2400076637935/193100552)
(78752633/440896,2136292043443/292754944)
(55965113/473344,2284344726995/325660672)
(277359623/83521,4622177509598/24137569)
(63625619/525625,2676350696528/381078125)
(-78420269/558009,2789189945272/416832723)
(350236483/9801,6554541250448/970299)
(352408727/27889,6615689281666/4657463)
(322709111/207025,5833456643734/94196375)
(-244235783/675684,315461309741/555412248)
(361652947/281961,6954676925500/149721291)
(-48155753/762129,4575771750806/665338617)
(181490807/758641,5171052398650/660776311)
(358164913/571536,7404290394857/432081216)
(236941471/837225,6419272656106/766060875)
(-304871761/900601,2529193476094/854670349)
(456784859/483025,10033344160648/335702375)
(-335664737/927369,322673900210/893056347)
(80434601/1149184,8525528964587/1231925248)
(297335881/1040400,8935123769029/1061208000)
(477193727/724201,11257182780190/616295051)
(251321617/1127844,9170188466329/1197770328)
(698532017/20164,18462041520631/2863288)
(415486553/984064,10818416044195/976191488)
(352039951/1172889,10970497213982/1270238787)
(867922687/56169,25569625057534/13312053)
(-270631783/1597696,13194863599165/2019487744)
(962680721/10000,29869188483769/1000000)
(-355369927/1623076,12587151503347/2067798824)
(1065789857/107584,34795092407281/35287552)
(812347811/1155625,24687245305816/1242296875)
(-389382151/1915456,16587175789811/2650991104)
(-303383533/1951609,18042429195016/2726397773)
(-38967077/2047761,20205245898512/2930345991)
(-402442829/2152089,20218110252128/3157114563)
(-370513337/2405601,24720120984358/3731087151)
(1339231721/384400,49037421182731/238328000)
(1479175049/87616,56889419797541/25934336)
(1452167369/309136,55350888740219/171879616)
(-759447799/2502724,17532402619003/3959309368)
(1380184993/956484,51679183173265/935441352)
(1693777979/21025,69708340376692/3048625)
(-905135671/2890000,20154355081733/4913000000)
(1442876297/1684804,56844687084869/2186875592)
(-473409319/3467044,43307872980163/6455635928)
(-409895807/3504384,44469336616255/6560206848)
(2067097961/937024,94189229953333/907039232)
(-1253419351/3763600,23784873598357/7301384000)
(2200247321/640000,103266918879869/512000000)
(2272357219/416025,108337362992828/268336125)
(2496159691/225,124712087463136/3375)
(-1153489103/4460544,51819717966551/9420668928)
(294485257/5116644,79969320166789/11573848728)
(1913732227/3674889,96791821407584/7044762213)
(2867564761/1166400,153802581132259/1259712000)
(3095146193/341056,172200958529177/199176704)
(3249418087/42849,185228757686494/8869743)
(2784017567/1990921,148167068808530/2809189531)
(3065694259/1265625,170027257374152/1423828125)
(535067479/5803281,97193515597894/13980103929)
(82074113/5943844,99928607347105/14491091672)
(-1938104533/5793649,44353018016836/13945313143)
(841037857/6230016,109967570408015/15550119936)
(2347104707/4826809,135193404262444/10604499373)
(4181953561/39204,270438686078563/7762392)
(1754452177/6625476,138671648141255/17053975224)
(3636652001/2896804,221926704352783/4930360408)
(3623314907/2982529,220974943406884/5150827583)
(4358576737/147456,287751399591185/56623104)
(-2570847983/7096896,2251492923655/18906130944)
(4528235419/25281,304714764505916/4019679)
(4379918801/792100,289907968918201/704969000)
(447472969/8294400,164994715695547/23887872000)
(2249512691/7425625,175649140604864/20234828125)
(2028985649/7695076,173261543804471/21346140824)
(5409694019/126025,397886480352272/44738875)
(2766142049/8065600,214743670727407/22906304000)
(1723365979/9492561,213988636885096/29246580441)
(6181047793/1272384,486052524270665/1435249152)
(5004611833/8714304,395996124906125/25724625408)
(-2379208033/13564489,324358456533694/49958012987)
(2594333887/13995081,384450161170870/52355598021)
(-4039130119/14077504,258380317648627/52818795008)
(-744553183/15319396,412965963260975/59960115944)
(-3077900431/14853316,355895730515671/57244679864)
(5618426713/12787776,526108460689117/45729086976)
(-5784608407/16924996,192284702133163/69629433544)
(10519128167/494209,1078873909832266/347428927)
(5167071601/16064064,578851221055607/64384768512)
(10851423851/693889,1130401669857032/578009537)
(372633001/19554084,596299608221237/86468159448)
(11390836153/86436,1215719581668173/25412184)
(-4805940647/21233664,586706154236765/97844723712)
(8566733177/17405584,937785012054451/72616096448)
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(9706726907/21464689,1176784348711696/99445904137)
(17380576999/12321,2291375604744494/1367631)
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(-4890271559/30272004,1096425080663347/166556566008)
(-2948928463/33200644,1309400874632009/191302110728)
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(5566227451/33350625,1391518172068676/192599859375)
(5705928131/38502025,1702861040226904/238905065125)
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(8857439081/40322500,1952518059895979/256047875000)
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(-3588535273/68046001,3864646584652430/561311462249)
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(-753807867577/2258055361,345155861350906162/107300532699359)
(-597413047439/2430687204,685314511162128937/119837740531608)
(1494210722747/175059361,1826561826136217900/2316210405391)
(-561045153377/2652971049,843369483867895610/136646579820843)
(-887031201551/3084247296,834954067143058231/171286757830656)
(1954811211587/209294089,2733190509185531224/3027857585563)
(467222176699/3400172721,1403992697127691744/198267471534231)
(2166573635449/9217296,3189041580183460019/27983710656)
(2198873085239/58140625,3260621861410271362/443322265625)
(1833645508001/1677721600,2527792585941737999/68719476736000)
(2484601511969/353440000,3916650670495962703/6644672000000)
(2469468175441/1036196100,3887466288677103239/33355152459000)
(2403808830929/1367520400,3743197438640087783/50570904392000)
(2752161882871/4100625,4565737759590816706/8303765625)
(2808067144129/3663396,4705559097417966401/7011739944)
(-720154373591/4982101056,2346635291528759851/351656620936704)
(3284533070713/9036036,5952651517736560493/27162324216)
(454785290207/5702817289,2985483674411957954/430659653213413)
(3320547622969/3370896,6050824683226213139/6188965056)
(3301036475743/343397961,5997732722659658222/6363507615291)
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