# Lists of S-integral points (x,y) on the Mordell curves
# y^2 = x^3 + a, with the following constraints:
# we consider only curves of rank r = 3,
# a is bounded by |a| <= 10000,
# S is the set of the first 300 primes.
# It contains 478 curves in total.
# It contains 24128 points in total.
# For each point P, only one of +P, -P is listed.
# Format of the points: "(P(x),P(y))".
# Computing this list took 459238 seconds.
# Authors: Rafael von Känel and Benjamin Matschke, 2015.
# License: Creative commons 3.0 by-nc.
#
# a = -9958:
#
(23,47)
(3769/36,230381/216)
(8111/289,541523/4913)
(21407/841,1971475/24389)
(1047329/7396,1069945999/636056)
(1534849/576,1901508929/13824)
(1739183/29929,2234646565/5177717)
(2112113/8836,3068437943/830584)
(54308297/59536,400217825275/14526784)
(57669863/2343961,252109614193/3588604291)
(195278087/2455489,2701705564199/3847751263)
(238147337/44944,3675095083109/9528128)
(655392553/8964036,16563339614827/26838323784)
(51132520009/314352900,11548957143340027/5573476917000)
(68349851561/2149249600,14847471257073941/99639211456000)
(59873693519/2752995961,2620283725825531/144446945077709)
(527658123511/23986265625,97411570187115241/3714872888671875)
(1192373728649/30672618496,1186551525059737819/5371879712915456)
(138033800022871/3643841943225,1465681198870160670169/6955675227793054125)
(1224394115881593809/13074904804802500,1346581329802067347609491623/1495057181102784503875000)
(25086658982885252510209/747053348293413608976,3411207974316050593895731592354561/20418668807287773189035709043776)
#
# a = -9921:
#
(97/4,527/8)
(241,3740)
(12445/289,1299226/4913)
(57445/2601,3871898/132651)
(3631573/8281,6920167766/753571)
(68561785/19044,567705533869/2628072)
(155069449/7209225,107878387832/19356769125)
(581245825/4443664,13982183966399/9367243712)
(930160705/26122321,25058529248188/133511182631)
(1295964409/48052624,32799499659635/333100789568)
(3392530249/55950400,193152418618693/418508992000)
(20858488297/472932009,2832951355313392/10284852399723)
(34772315833/1544175616,2348199589974611/60679925006336)
(102443093377/818074404,32705753605433567/23398564103208)
(954710705017/507015289,932840441298379192/11416463262413)
(1495466721409/52106279824,1393179809814393025/11894196282864832)
(2704059891217/81052951204,3806461667644418137/23075613101876392)
(478119160445533/753977885761,10454319621899627472094/654693323786105759)
(9383070075969229/170081061329169,881642026234974531118870/2218114372378154792697)
(2075130423451499293/62036184208150881,2562667036844744339405382986/15451392165918217355384721)
#
# a = -9849:
#
(25,76)
(37,202)
(193/4,2561/8)
(205/9,1198/27)
(1009/16,31415/64)
(6553/49,529376/343)
(11545/4,1240483/8)
(15481/100,1923629/1000)
(17089/36,2233855/216)
(246073/1024,122023021/32768)
(232633/7569,91207864/658503)
(792289/17161,669000100/2248091)
(1877101/8649,2570526890/804357)
(2360425/23104,3609694283/3511808)
(4189201/2025,8574258176/91125)
(4789465/163216,8187923939/65939264)
(4840585/224676,1310992901/106496424)
(11721565/19321,40129968794/2685619)
(41479993/1774224,127918386541/2363266368)
(61599553/2832489,99603555164/4767078987)
(415314421/14554225,6424322767906/55524368375)
(2360726785/104939536,42126475896959/1075000606784)
(4949855233/128867904,316542063398399/1462908446208)
(9146154949/31192225,874526514915082/174208576625)
(13541171065/51667344,1575308083866803/371384868672)
(15563692369/598585156,1287478268956615/14644984426696)
(158014397305/6188339556,40141210171347629/486811919512296)
(229996563409/10626517225,18651623639370952/1095434528139125)
(705559101073/8161676964,588117596362706969/737342220281688)
(629549186065/14120331241,470937441040713536/1677904841036789)
(1939347259705/3069935649,2700690941577118132/170095924504143)
(1362125542849/63161742400,213399043161400993/15873809099968000)
(69683502883009/82884106816,581689684017804286175/23862002815899136)
(92567411852581/4018970439169,392221685848407532790/8056978741308343553)
(285525033136477/10664486361,4824655248972724318558/1101310842014109)
(195797939347033/7571698795584,1797475582361893244579/20834831568242216448)
(1904743959644905/54926834077696,72652659585282842750581/407077268034001567744)
(3065990534276833/36000384001024,168409307654438055779281/216003456018432032768)
(48034902436472905/662001921442404,10391151461105722687472933/17032910913556346592792)
(2275987442668498477/38007291772158921,3353973752435187818303683462/7409695946444324086238469)
(10876973319630091920745/251862243012977008896,1062771678296520501325397495356619/3997096194098484963677289517056)
(36719222484994370520649/1259918767717356802500,5459915974496886731778398447271643/44721238039959442774720096125000)
(33336480872503391722293025/1204170574550262055969024,140891419616151203557644095196817886257/1321393042168115496833296435198496768)
#
# a = -9832:
#
(26,88)
(233/4,3467/8)
(718/9,19052/27)
(1594/9,63584/27)
(3161/121,119023/1331)
(13694/625,409372/15625)
(13553/121,1572275/1331)
(56282/1849,10776400/79507)
(59281/81,14433373/729)
(156377/1936,61258979/85184)
(909641/5041,866844857/357911)
(634289/28900,133671913/4913000)
(2557502/961,4090005196/29791)
(1450873/47961,1403368255/10503459)
(51208334/25,366446830948/125)
(194675681/8357881,1279724551477/24162633971)
(2609936977/1052676,133335222672601/1080045576)
(5766753338/18309841,437853389278120/78347809639)
(19183454713/816702084,1305258996307213/23339712156552)
(55913298718/969886449,12877551266208308/30205173681207)
(388089306938/3413948041,240956848365669920/199473570087589)
(409202993497/9096581376,247222748614726621/867595545317376)
(1158667082234/1523887369,1247191510681421296/59487991223653)
(1147200268282/25108620849,1163682923791049000/3978636733869993)
(12462531799534/18172388025,43994947095028305548/2449728767710125)
(13952458989946/42307964721,52109462961609326072/8702282955497769)
(95336787526793/2067984926401,882934315659141142745/2973863655426031649)
(496761527216846/11124659683225,10442723662848681123644/37104800544339752125)
(18633341119200281/26185224122500,2543490833477026334461571/133993719618450875000)
(28268653746863546/1291785024670921,1181512366083325813370528/46428576495342711409531)
(35628269592771329/1196471559002500,5327787180652524997766017/41386011049474425125000)
(48456511774354009/2215206473360400,2626871309744052162906973/104260863571051119192000)
(410736460032272057/143411546407936,263235702960710274942595501/1717418663900195618816)
(2376140105968695449/53681460894760000,3448889194874850760674336707/12437597246505270776000000)
#
# a = -9825:
#
(61,466)
(121/4,1069/8)
(289,4912)
(43069/225,8931878/3375)
(404401/5329,254261576/389017)
(387049/15129,154791332/1860867)
(994561/3136,991699841/175616)
(2671321/484,4366054019/10648)
(2682121/12996,4390102981/1481544)
(7444921/274576,14465921069/143877824)
(18640441/868624,6146362861/809557568)
(23337301/1071225,25154557174/1108717875)
(58353961/996004,434739382859/994011992)
(84605401/3948169,30656903924/7845011803)
(284992201/13003236,1243212054299/46889669016)
(823037281/18284176,22303838279279/78183136576)
(6998472841/96510976,577878432676261/948123828224)
(14143195561/411278400,1464773153036309/8340725952000)
(204868932241/1461681,92728696717562264/1767172329)
(1321795941961/24506650116,1471313413198139941/3836418049059336)
(11043546552601/71775768100,36650198542816136099/19229446031671000)
(10850435919469/384748518961,26792937113399755378/238652196089648041)
(9903594490182901/1152881080729,985574074676489172553174/1237874932643584067)
(2222829017849205560941/103034812703565297361,15362178325324826774162092915286/1045865841512753921934740096359)
(7706220641734086543241/19634354687591928064,676436244073947366721661628942811/87001140965409064410028863488)
(52213103337719078897688481/1001887849489883929390224,363954720958968024255887835239803284721/1002833110305493879049283623981965632)
#
# a = -9811:
#
(43,264)
(71,590)
(377/4,7277/8)
(3265/4,186561/8)
(3995,252508)
(4225/196,39327/2744)
(9679/25,952158/125)
(36055/1681,516618/68921)
(97009/2704,26813385/140608)
(305833/5776,163447701/438976)
(205315/8649,48034144/804357)
(754865/30976,372205417/5451776)
(4984009/23104,11121308805/3511808)
(54948673/1201216,385881644319/1316532736)
(31690583/1062961,141574635886/1095912791)
(30984329/1392400,57100941733/1643032000)
(54161713/2056356,271240275511/2948814504)
(203960023/1962801,2900083531634/2749884201)
(213830377/3849444,3036020450453/7552609128)
(1262681443/8886361,44791625031396/26490242141)
(5337729763/93915481,379410432800436/910134926371)
(8069664991/360810025,254270851382586/6853586424875)
(8303897491/366914025,296593032356164/7028238148875)
(22094411105/847275664,2195049459922321/24662500027712)
(31985211967/243453609,5707979080773362/3798606661227)
(314046545923/857962681,175973627756318004/25130584889171)
(5740780579259/139594225,13754867833083080848/1649305768375)
(13557854735791/447193125625,40183837624190567214/299049222933578125)
(12628533100345/61875567504,44851670612993329811/15391423665484992)
(71768596725605593/160821050962576,19225502918122870923568611/2039456017487130645824)
(168093729484131511/4607161014397041,61564132031952594020249530/312715988121645577105911)
(1681350205154750785/199399590875664,2180154483048509661773096929/2815700087599436772288)
(15143911706936787509815/77568206768503420369,1862389976134379290043566058348526/683165029590391306467990319847)
(22322122823710585069086385/413039840418134538131524,102133580334728306175386354558549717769/265453170234449084630837401654578232)
#
# a = -9749:
#
(273/4,4441/8)
(2485/9,123848/27)
(13113/49,1501214/343)
(10801/324,963575/5832)
(290145/12544,71991697/1404928)
(2839393/127449,1646019334/45499293)
(36424689/1142761,183787854890/1221611509)
(52899105/163216,384689468111/65939264)
(228634245/3052009,3416780284348/5331859723)
(289857673/3932289,4874456346994/7797729087)
(5359542909/169650625,326112135447452/2209699390625)
(3904609066449/3511876,7715540185162308985/6581255624)
(38274691378105/552179775744,233300737955124727597/410318165198057472)
(75801121104741/1628526025,659953662491876162836/65719167738875)
(29687387662126665/441714120864016,5032346283377708500293061/9283503911342540815936)
#
# a = -9693:
#
(33,162)
(321/4,5697/8)
(229,3464)
(1081/4,35533/8)
(3741/169,74628/2197)
(1093/49,12860/343)
(1561/25,60434/125)
(24657/64,3871449/512)
(5137/144,326521/1728)
(201417/8464,47894139/778688)
(209553/9604,24809625/941192)
(390453/5329,240954480/389017)
(96817/1156,29875465/39304)
(640177/27889,228257254/4657463)
(5024481/144400,9882311121/54872000)
(20091921/68644,90042644007/17984728)
(2861353/84681,4188189158/24642171)
(81904821/18769,741249089568/2571353)
(16749673/712336,34576867403/601211584)
(169558089/354025,2207794314438/210644875)
(39455617/1089,247835353814/35937)
(80995537/2090916,665391743495/3023464536)
(177455137/332929,2363844825026/192100033)
(124742281/4334724,1073120081797/9024895368)
(2543918721/148225,128308328277606/57066625)
(359153569/15792676,2854576483921/62760094424)
(5470319193/30976,404593593989283/5451776)
(1460791141/15816529,55487346305012/62902335833)
(8359139337/128981449,750531637925586/1464842316293)
(2767816057/47997184,141887002560589/332524490752)
(86535432249/1226400400,25102406304583443/42948542008000)
(756385252413/17849761609,614504871727711380/2384781700247227)
(2218420324113/216737284,3304195619610071385/3190806295048)
(2189412168193/5164434496,3239393188622052097/371136920620544)
(5189331844849/236384605636,3422452811729669929/114928776952589384)
(11398596876409/32414401600,38479434730743279923/5835888864064000)
(7828955856841/365226835600,2763082613901145861/220721185826504000)
(15625783844209/484562171025,52081148893932761698/337306150061357625)
(25228520625133/7741712169,126717797621653902800/681170028613803)
(182335315337889/3274073113600,2392019853950142406287/5924238854672384000)
(567594441421741/15531819927849,12105366786479297825992/61211570203909806507)
(8723565818513817/144900852525529,796479034178492407789794/1744240679556447250333)
(1740430036740501393/6953644934236324,2295358755770090381262472935/579854145764174520127832)
(7944013888830787117/24537737167177081,22387105924328093412544046900/3843720193826380152108979)
(37061486662328989953/1613677836677215204,100878539292564860178642286305/2049864957506298199021034392)
(51041381265857798241/1018406040983679364,350337007647366897009553636977/1027735717792681227707007112)
(20936004775649591089/113354785958100625,95720812342145929434955805938/38164518879814883578765625)
(99460831370406967489/4127120723059824400,550014325576756127872346792737/8384376248453296420247528000)
(683550473397811812198049/28287243623358458865025,316206056564750042003313881279498782/4757578317781400158649481492418625)
#
# a = -9683:
#
(27,100)
(857/16,24285/64)
(3233/4,183825/8)
(6131/25,479904/125)
(9609/100,936773/1000)
(23351/625,3220026/15625)
(217619/7225,81572472/614125)
(245127/2401,120809690/117649)
(348479/15625,73353558/1953125)
(469087/19881,164710810/2803221)
(2622969/40000,4174473203/8000000)
(39664817/1860496,6781942935/2537716544)
(90348129/2592100,754221794383/4173281000)
(178275303/146689,2380321413370/56181887)
(424148513/10484644,8071243673775/33949277272)
(7558324441/325080900,314875317059011/5861208627000)
(152170912991/222457225,59359591040130414/3317949510875)
(97300980201/45832900,30351181600579051/310288733000)
(175042888817/31764496,73234664370868215/179024699456)
(171585719633/1346743204,70909212884039175/49422782100392)
(121230603523/653160249,42178323168179540/16692816483693)
(90148338201/4193857600,4284783909933949/271594218176000)
(123672994063/2826304569,40901970983252570/150254829801747)
(267902868481/11722392900,60251767493835871/1269183479283000)
(12140708174521/60074010000,42277679648345038931/14724139851000000)
(321380235059523/815963536249,5760952980642822596860/737065574038475443)
(398238196283947/2380753334961,7938979174736887762700/3673428592491439209)
(17915721612692159/31838088375625,2397947426866309837622202/179647209611673453125)
(1011222008438050919/11895762092613025,1008833619252640795664258178/1297443351709679163727375)
(16500625939109243873/219646771620073924,66257282643341088787083321615/102940728303002894422736968)
(13080359333712417720609/37366281050412250000,1495823975082744650080887663068977/228412472022976325357125000000)
(17171321227694560968289/377564578268302260900,2131164547101253456719600476092337/7336465260514462213944446727000)
#
# a = -9667:
#
(23,50)
(823,23610)
(1723,71520)
(2641/100,93561/1000)
(8521/400,69/8000)
(45889/1600,7552287/64000)
(259009/900,131790527/27000)
(620209/28900,72327177/4913000)
(862649/100,801218893/1000)
(558763/25281,135119060/4019679)
(1004747/27889,897001960/4657463)
(2058569/10000,2951939003/1000000)
(13230163/116281,47964275820/39651821)
(45008867/2036329,97732052060/2905841483)
(379712743/461041,7399101767310/313046839)
(710510483/29278921,10772493562760/158428241531)
(1483579241/5152900,57131831575211/11697083000)
(7569668983/82609921,654439677311190/750841571969)
(8915942561/146652100,823574089255441/1775956931000)
(50982024641/247747600,11504946187305311/3899547224000)
(262815090127/11426113449,61093138771504610/1221371544903957)
(979276125041/2273382400,969017197843137911/108394872832000)
(7297717675487/179468307769,18242050756925461990/76029415498335853)
(87981343773649/4099612562500,122344693392109603143/8300690535921875000)
(113837945395729/4622586000400,721359386438531826567/9938652352580008000)
(292540357433923/608944561801,5003336905594768095300/475189279856848549)
(2684353782596623/476581741801,139078378125713490059070/329007728870578549)
(2125863557176921/13760612820900,97888802842528372358531/51045406077513177000)
(5271840452507609/846400,382774843307715711160477/778688000)
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#
# a = -9624:
#
(22,32)
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#
# a = -9561:
#
(73,616)
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#
# a = -9455:
#
(126,1411)
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#
# a = -9445:
#
(89/4,317/8)
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#
# a = -9342:
#
(31,143)
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#
# a = -9282:
#
(43,265)
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#
# a = -9260:
#
(29,123)
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#
# a = -9245:
#
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#
# a = -9127:
#
(22,39)
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#
# a = -9112:
#
(26,92)
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#
# a = -9092:
#
(21,13)
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#
# a = -9085:
#
(301/9,4544/27)
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#
# a = -9076:
#
(38,214)
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#
# a = -9074:
#
(27,103)
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#
# a = -9065:
#
(21,14)
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#
# a = -9048:
#
(22,40)
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#
# a = -9013:
#
(29,124)
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#
# a = -8972:
#
(21,17)
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#
# a = -8966:
#
(63,491)
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#
# a = -8913:
#
(661/9,16802/27)
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#
# a = -8841:
#
(85,778)
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#
# a = -8827:
#
(113/4,937/8)
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#
# a = -8803:
#
(23,58)
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#
# a = -8766:
#
(31,145)
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#
# a = -8747:
#
(51,352)
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#
# a = -8623:
#
(22,45)
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#
# a = -8552:
#
(42,256)
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#
# a = -8532:
#
(21,27)
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#
# a = -8446:
#
(23,61)
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#
# a = -8426:
#
(75,643)
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#
# a = -8361:
#
(21,30)
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#
# a = -8328:
#
(34,176)
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#
# a = -8243:
#
(59,444)
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#
# a = -8237:
#
(21,32)
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#
# a = -8229:
#
(25,86)
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#
# a = -8157:
#
(97/4,625/8)
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#
# a = -8138:
#
(81/4,103/8)
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#
# a = -8075:
#
(111,1166)
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#
# a = -8071:
#
(23,64)
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#
# a = -8048:
#
(24,76)
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#
# a = -8005:
#
(29,128)
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#
# a = -7977:
#
(121,1328)
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#
# a = -7971:
#
(55,398)
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#
# a = -7841:
#
(5217/4,376817/8)
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#
# a = -7831:
#
(40,237)
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#
# a = -7811:
#
(23,66)
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#
# a = -7804:
#
(20,14)
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#
# a = -7769:
#
(81/4,185/8)
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#
# a = -7723:
#
(47,310)
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#
# a = -7683:
#
(43,268)
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#
# a = -7670:
#
(159,2003)
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#
# a = -7583:
#
(24,79)
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#
# a = -7531:
#
(35,188)
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#
# a = -7516:
#
(20,22)
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#
# a = -7501:
#
(53,376)
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#
# a = -7492:
#
(146,1762)
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#
# a = -7348:
#
(38,218)
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#
# a = -7291:
#
(31,150)
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#
# a = -7284:
#
(22,58)
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#
# a = -7265:
#
(81,724)
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#
# a = -7230:
#
(79,697)
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#
# a = -7223:
#
(72,605)
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#
# a = -7139:
#
(27,112)
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#
# a = -6967:
#
(26,103)
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#
# a = -6963:
#
(103,1042)
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#
# a = -6911:
#
(20,33)
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#
# a = -6908:
#
(48,322)
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#
# a = -6878:
#
(39,229)
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#
# a = -6862:
#
(383,7495)
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#
# a = -6834:
#
(19,5)
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#
# a = -6823:
#
(28,123)
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#
# a = -6690:
#
(19,13)
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#
# a = -6626:
#
(51,355)
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#
# a = -6551:
#
(26,105)
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#
# a = -6479:
#
(20,39)
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#
# a = -6474:
#
(121/4,1165/8)
(547,12793)
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#
# a = -6366:
#
(385/16,5567/64)
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#
# a = -6349:
#
(233/4,3499/8)
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#
# a = -6340:
#
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#
# a = -6283:
#
(19,24)
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#
# a = -6236:
#
(20,42)
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#
# a = -6227:
#
(27,116)
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#
# a = -6214:
#
(335,6131)
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#
# a = -6199:
#
(32,163)
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#
# a = -6177:
#
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# a = -6132:
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#
# a = -6083:
#
(23,78)
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#
# a = -6067:
#
(73/4,27/8)
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#
# a = -6024:
#
(22,68)
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#
# a = -6011:
#
(35,192)
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#
# a = -5919:
#
(40,241)
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#
# a = -5898:
#
(19,31)
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#
# a = -5872:
#
(32,164)
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#
# a = -5854:
#
(47,313)
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#
# a = -5816:
#
(18,4)
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#
# a = -5709:
#
(37,212)
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#
# a = -5703:
#
(19,34)
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#
# a = -5661:
#
(21,60)
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#
# a = -5620:
#
(29,137)
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#
# a = -5574:
#
(55,401)
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#
# a = -5563:
#
(19,36)
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# a = -5543:
#
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#
# a = -5523:
#
(43,272)
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#
# a = -5448:
#
(34,184)
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#
# a = -5443:
#
(23,82)
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#
# a = -5348:
#
(18,22)
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#
# a = -5296:
#
(20,52)
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#
# a = -5227:
#
(47,314)
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#
# a = -5178:
#
(19,41)
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#
# a = -5105:
#
(181/9,1486/27)
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#
# a = -5095:
#
(19,42)
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#
# a = -5068:
#
(29,139)
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#
# a = -5042:
#
(27,121)
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#
# a = -5016:
#
(58,436)
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#
# a = -5006:
#
(2745/64,139181/512)
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#
# a = -4962:
#
(259/9,3709/27)
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#
# a = -4923:
#
(19,44)
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# a = -4808:
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# a = -4792:
#
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#
# a = -4772:
#
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#
# a = -4771:
#
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#
# a = -4737:
#
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#
# a = -4675:
#
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#
# a = -4598:
#
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# a = -4458:
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#
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# a = -4415:
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#
# a = -4307:
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#
# a = -4291:
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#
# a = -4197:
#
(61,472)
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#
# a = -4155:
#
(19,52)
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#
# a = -4149:
#
(105,1074)
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#
# a = -4087:
#
(16,3)
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#
# a = -4080:
#
(16,4)
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#
# a = -4072:
#
(17,29)
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#
# a = -4031:
#
(20,63)
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#
# a = -3967:
#
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#
# a = -3917:
#
(117,1264)
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#
# a = -3882:
#
(43,275)
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#
# a = -3807:
#
(18,45)
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#
# a = -3738:
#
(67,545)
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#
# a = -3665:
#
(169/9,1468/27)
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#
# a = -3623:
#
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#
# a = -3604:
#
(134,1550)
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#
# a = -3547:
#
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#
# a = -3514:
#
(65/4,223/8)
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#
# a = -3471:
#
(16,25)
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#
# a = -3469:
#
(17,38)
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#
# a = -3407:
#
(66,533)
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#
# a = -3378:
#
(19,59)
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#
# a = -3371:
#
(15,2)
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# a = -3332:
#
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#
# a = -3331:
#
(43,276)
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#
# a = -3259:
#
(19,60)
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#
# a = -3252:
#
(22,86)
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#
# a = -3206:
#
(15,13)
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#
# a = -3098:
#
(123,1363)
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#
# a = -3081:
#
(25,112)
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#
# a = -3073:
#
(29,146)
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#
# a = -3064:
#
(17,43)
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#
# a = -3051:
#
(15,18)
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#
# a = -2856:
#
(25,113)
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#
# a = -2846:
#
(15,23)
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#
# a = -2758:
#
(23,97)
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#
# a = -2699:
#
(15,26)
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# a = -2414:
#
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#
# a = -2370:
#
(19,67)
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#
# a = -2344:
#
(14,20)
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#
# a = -2253:
#
(37,220)
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#
# a = -2219:
#
(15,34)
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#
# a = -2198:
#
(39,239)
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#
# a = -2188:
#
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#
# a = -2181:
#
(13,4)
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#
# a = -2071:
#
(16,45)
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#
# a = -2036:
#
(30,158)
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#
# a = -2001:
#
(13,14)
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#
# a = -1999:
#
(22,93)
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# a = -1966:
#
(23,101)
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# a = -1951:
#
(26,125)
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#
# a = -1902:
#
(31,167)
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#
# a = -1812:
#
(22,94)
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#
# a = -1777:
#
(17,56)
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#
# a = -1763:
#
(23,102)
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#
# a = -1727:
#
(12,1)
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# a = -1478:
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#
# a = -1439:
#
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#
# a = -1356:
#
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#
# a = -1315:
#
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#
# a = -1259:
#
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# a = -1236:
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# a = -1208:
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#
# a = -1192:
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#
# a = -1187:
#
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#
# a = -1173:
#
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# a = -1075:
#
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#
# a = -1048:
#
(38,232)
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#
# a = -984:
#
(10,4)
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#
# a = -804:
#
(10,14)
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#
# a = -755:
#
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# a = -741:
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# a = -706:
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(11,25)
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#
# a = -516:
#
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#
# a = -503:
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# a = -362:
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# a = -307:
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#
# a = -174:
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#
# a = 113:
#
(2,11)
(-4,7)
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#
# a = 141:
#
(-5,4)
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#
# a = 316:
#
(2,18)
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(6945145874023119603708025/1203911079172566751619136,29772537338189206045660998214886122189/1320965930445038855338827917551919616)
#
# a = 346:
#
(15,61)
(-15/4,137/8)
(33/4,241/8)
(55/9,647/27)
(159,2005)
(-297/49,3809/343)
(-479/144,30385/1728)
(2817/256,167807/4096)
(-3609/625,193561/15625)
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(-4660095/929296,13284392641/895841344)
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(100028673/14884,1000430126399/1815848)
(-101832335/15069924,358013349577/58501444968)
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(-514497759/73650724,1428250794865/632070513368)
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(-4437143409/951414025,458932263640139/29346365601125)
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(104499599985/2843662276,33898514744934839/151641134529976)
(839676225537/9632637316,769628579114723137/945404822016136)
(1579945899655/1220873481,1985927358994580881/42658540299621)
(4011675750529/531790977600,10798031532319887167/387803252505024000)
(150542524950817/2603853413316,1848745904360814901873/4201697644983710136)
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(-4550770958764929/691897522563025,142689066979976087721131/18199634379134068633625)
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(-1538056926540273161/239119547672205225,1045083171824922433423805063/116929103719180061800240875)
(48570113841985873/307641024218145024,3173999777546863083017878439/170634314802178235161055232)
#
# a = 359:
#
(-7,4)
(5,22)
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(73,624)
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(-95/16,783/64)
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(241/36,5545/216)
(-35/121,25218/1331)
(-1751/400,132693/8000)
(-4607/841,340236/24389)
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(-13735/1936,117923/85184)
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(-360199/250000,2358525299/125000000)
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(16916582693663118092627896105/3309273917906891562749401344,4225102351282738403879765131072306451648341/190370247545683177496607445169147107356672)
(212366276137897948708332304225/26790322041905291127872430336,128376190074505238418416443923842098800058223/4384972775254446585891103078106173669699584)
#
# a = 427:
#
(-3,20)
(9,34)
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(-167/36,3907/216)
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(-7439/2304,2193353/110592)
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(-840166983/132388036,19942800730355/1523256742216)
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(4716485677/228886641,331722126669340/3462825991689)
(20182467561/3606002500,5314404493988309/216540450125000)
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(-133140326176325919/18246238984249600,15289765525017991123181521/2464677147107417388544000)
#
# a = 443:
#
(-7,10)
(77,676)
(161/16,2447/64)
(-119/36,4357/216)
(301/81,16208/729)
(833/169,52118/2197)
(-1399/196,24443/2744)
(2417/196,132119/2744)
(-143/441,194914/9261)
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(17633/3844,5535793/238328)
(316373/17689,184711472/2352637)
(379373/14161,236344760/1685159)
(-254779/177241,1565262892/74618461)
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(-2492167/2202256,68673952115/3268147904)
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(-2710722167/900540081,551008452305870/27024307290729)
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(195640581073/4959258084,86845966803347833/349240872791448)
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(-6603658428199/964508624836,10464791808451852547/947238133399686584)
(-10536788885623/1392869679601,5222785152338400574/1643863402995420599)
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(86292213551744509/11208129764087025,35585124540709040013415348/1186587381563407822296375)
#
# a = 506:
#
(-7/4,179/8)
(47,323)
(-65/9,307/27)
(185/16,2899/64)
(119/25,3097/125)
(577/36,14687/216)
(2423/49,119519/343)
(20879/4225,6874867/274625)
(18679/6561,12224015/531441)
(-24857/8649,17664049/804357)
(-138079/20164,38933425/2863288)
(-59263/30976,121783103/5451776)
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(-401671/59536,204876685/14526784)
(-315625/292681,3557363111/158340421)
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(-3150919/409600,1867837229/262144000)
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(-28748825/4028049,96484631113/8084294343)
(67568521/900,555413739931/27000)
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(-38802629153/12789574281,31625070831970237/1446385745012571)
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(-11649607171014505975/1778039773207570084,35542787448520254973522368293/2370894380534932298653712552)
(-85030806149495390857/10769903560320253129,131557142336629257488841776279/35344164643489809586246271867)
(65482651131234239665/10794596422265976996,957729678416619371890786549079/35465788105692349016380325544)
#
# a = 537:
#
(-2,23)
(-8,5)
(19,86)
(-23/4,149/8)
(124,1381)
(82/9,971/27)
(286/9,4877/27)
(106/49,8023/343)
(-473/81,13400/729)
(559/121,33556/1331)
(3274/25,187357/125)
(4084/81,261539/729)
(2152/529,299101/12167)
(4384/441,360991/9261)
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(-7988/1089,428741/35937)
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(-1607/10404,24591565/1061208)
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(-275342/37249,82939505/7189057)
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(48697/29584,118404589/5088448)
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#
# a = 568:
#
(2,24)
(6,28)
(-7,15)
(18,80)
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#
# a = 659:
#
(5,28)
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#
# a = 681:
#
(-8,13)
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#
# a = 730:
#
(-1,27)
(-9,1)
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#
# a = 745:
#
(-6,23)
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#
# a = 873:
#
(6,33)
(12,51)
(3,30)
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#
# a = 892:
#
(2,30)
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#
# a = 899:
#
(1,30)
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#
# a = 940:
#
(6,34)
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#
# a = 997:
#
(3,32)
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#
# a = 1016:
#
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#
# a = 1025:
#
(10,45)
(-5,30)
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#
# a = 1090:
#
(-1,33)
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#
# a = 1149:
#
(-5,32)
(43,284)
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#
# a = 1157:
#
(-1,34)
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#
# a = 1171:
#
(5,36)
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#
# a = 1213:
#
(-9,22)
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#
# a = 1304:
#
(-2,36)
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#
# a = 1305:
#
(-6,33)
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#
# a = 1342:
#
(3,37)
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#
# a = 1367:
#
(-11,6)
(-7,32)
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#
# a = 1373:
#
(11,52)
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#
# a = 1478:
#
(11,53)
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#
# a = 1522:
#
(-1,39)
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#
# a = 1639:
#
(5,42)
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#
# a = 1646:
#
(-5,39)
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#
# a = 1737:
#
(-6,39)
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(20045540030035929838579/87832713074066831025,2838300467382442055592989821463858/823160357082947352678648276375)
(-1123829592015467023591551191/390744553363640917735694400,319701375257298736885074025221211263105877/7723949036175858276103861668736744128000)
#
# a = 1753:
#
(-12,5)
(12,59)
(-9,32)
(102,1031)
(64/9,1241/27)
(142/9,2035/27)
(66/25,5261/125)
(81/16,2777/64)
(-66/49,14351/343)
(1558/9,61507/27)
(2647/81,139564/729)
(2871/625,672044/15625)
(21282/841,3268309/24389)
(47256/25,10272721/125)
(-24086/3249,6793271/185193)
(-36888/3481,4873199/205379)
(73323/3721,22011790/226981)
(-15884/12321,57226123/1367631)
(70137/7396,32468819/636056)
(132777/4096,49611371/262144)
(213849/484,98892931/10648)
(357594/289,213838321/4913)
(-155717/13689,26850338/1601613)
(441024/9409,295364731/912673)
(-184692/49729,457472677/11089567)
(1116508/74529,1455173173/20346417)
(2473636/12321,3890905867/1367631)
(-872706/267289,5728061371/138188413)
(4964602/106929,11158276265/34965783)
(-7167606/693889,14745706529/578009537)
(14545996/140625,55521203581/52734375)
(-6442407/712336,19137441955/601211584)
(26703192/1062961,145417973459/1095912791)
(-8609687/1542564,76133061973/1915864488)
(-28410762/2380849,26937247487/3673650007)
(-8617164/2686321,182599705517/4402880119)
(-10260186/2805625,193995205637/4699421875)
(95656434/253009,935574386729/127263527)
(-19222461/3478225,258191831462/6486889625)
(2907091/5022081,471238270262/11254483521)
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(-159381632/13860729,787024249057/51603494067)
(157247641/4511376,2012260143043/9582162624)
(-261287384/37271025,8539433487539/227539607625)
(-690312768/92486689,32524798630315/889444488113)
(5558396124/31528225,414470569674443/177030983375)
(395576074/556724025,550041344933293/13135903369875)
(-6527901383/565393284,196618435451405/13443921506952)
(1598581081/1546848900,2548000298062979/60837567237000)
(27228251688/10091608849,42682621809595837/1013772750143993)
(-117505717118/11054629881,27307652282604829/1162294840318221)
(310197939762/4741286449,173305922444394745/326470761018793)
(362789334948/3957793921,218763790200613445/248988773364031)
(689353707624/10418897329,574081370666014829/1063488107063017)
(732608528082/16824424681,633680172056834779/2182279300947829)
(147413731303/28778068881,212092592691299680/4881940383041721)
(20113534089/31592218564,235121915018810299/5615264112002488)
(746308594711/21986721,644729682003921208/103095734769)
(195706017264/63180341449,670524529322343929/15880821085596293)
(3399974184051/7473429601,6269277185158775702/646070515576849)
(4300261710291/69148487521,8949922909286844802/18183355427009681)
(3895543464934/576358827489,19868212637531253431/437561823729581487)
(13284033797763/37317353329,48417615408560794258/7208854364036233)
(21243815267481/312894796900,98188734138134225629/175023962541953000)
(25524547093863/12159169,128954667825443032268/42399022303)
(111039457270348/2520121325121,1182009857264026165925/4000664882295011169)
(29364667717033/6310907671104,682593411077903827477/15853959327779255808)
(229743830087986/34723265096025,9247568474858865659891/204611874451766236125)
(48214022768926498/23998995861129,10586687651956678046886197/117568128847180052133)
(12029636303869584/5508931558619329,17170305557390339251049861/408884893224729712659233)
(-4470368975795730404/581043602092389921,15954440856300868784972218037/442907551766169262836079281)
(2091020442029364713697/18933715648228193296,95679705963383284946644495654609/82386067947649443642543585344)
(1242080192142314680969/140060710192295956644,82053202975923938107929329651131/1657579955096070739727225218728)
(9343936704442332373091128/186529448247799722230169,28760878040481595556116942399950883823/80560306225675685806363172401669053)
#
# a = 1772:
#
(-2,42)
(-11,21)
(13,63)
(38,238)
(62,490)
(41/4,427/8)
(166/9,2422/27)
(-226/25,4018/125)
(46/49,14442/343)
(-362/49,12690/343)
(17/16,2695/64)
(2566/49,130782/343)
(197/49,14701/343)
(-1199/100,6951/1000)
(2329/256,205821/4096)
(7381/9,634123/27)
(37006/49,7118838/343)
(58726/625,14246526/15625)
(18953/196,2611813/2744)
(27149/121,4473679/1331)
(-51818/5329,11359026/389017)
(-17303/1764,2132171/74088)
(53017/2116,12876675/97336)
(22189/7225,26062113/614125)
(-49106/12321,56532826/1367631)
(213877/121,98911365/1331)
(236113/1936,114786777/85184)
(-140723/12321,22970465/1367631)
(96653/14161,77038753/1685159)
(-424474/38809,164607142/7645373)
(-45578/42849,373246174/8869743)
(469894/70225,847011522/18609625)
(501406/38025,472739554/7414875)
(961358/3481,942640258/205379)
(1389757/37249,1666070889/7189057)
(868589/60025,1019085313/14706125)
(2315269/36481,3535104531/6967871)
(2916262/110889,5217065686/36926037)
(4455478/303601,11748812082/167284151)
(3747817/206116,8255847285/93576664)
(1884889/309136,7684148451/171879616)
(566/413449,11190893882/265847707)
(17114326/87025,70809297426/25672375)
(-5473562/1117249,48033794670/1180932193)
(-5110463/559504,13300236831/418508992)
(-5869714/896809,32800364338/849278123)
(-2998699/597529,18737066453/461889917)
(-34372063/2917264,58182963889/4982686912)
(112326577/13924,1190484615831/1643032)
(55603486/15311569,2555948748198/59914169497)
(-55915343/8111104,877935588201/23100424192)
(146159422/16329681,3292176119750/65988240921)
(-59760083/13198689,1964919806641/47950837137)
(2990969134/68145025,165280506681402/562537181375)
(4359154462/9409,287808348268854/912673)
(6087720862/183412849,486360340266234/2483960214007)
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(838267982/284495689,203450048686094/4798588786363)
(3291734861/100902025,193618281997391/1013560841125)
(-1829996603/445589881,388128809020995/9405956798029)
(-532735867/283888801,200975412482797/4783242408049)
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(-987019711/464833600,420728312213663/10021812416000)
(8111751889/287099136,758742916989799/4864607760384)
(22185655393/76457536,3304639906525167/668544694784)
(-1521779939/1618855225,2741208424840809/65134639977875)
(174234746086/17261492689,120013161648554082/2267866693958887)
(-246006018914/20393839249,11917655191610778/2912383001631943)
(-105619615571/14089927401,61468933524189569/1672488472426101)
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(-352323775511/54782211136,497587619358748149/12822105209647616)
(-327048929647/42359402596,315755676978600263/8718158085893144)
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(-1321695093314/194891346225,3287608156206017434/86037708161219625)
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(-6139033885442/589444669009,11469028746135416070/452547912965666777)
(-690303263687/426712045824,11719653875728425235/278741963117703168)
(20331403541389/3491572530625,289536397524753148287/6524265141412609375)
(35697988373333/1018680434209,217634495984895448795/1028151106205841073)
(191492411989558/816306829009,2650068863658706265070/737530771089144473)
(142783149358897/263684304004,1706152547231528983209/135402417474662008)
(-58276951379687/4819886539776,22237009059490525187/10581694586701185024)
(191494939591429/4756678122361,2685682378499595788061/10374224607985016141)
(-367595405099954/32326877462929,3192284764364418011862/183800054365283916217)
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(-373204924968551/146208386655556,74070044734527277215549/1767902977837840196296)
(2967902705766097/14476031248644,161703393695713304868889/55077506180903275272)
(10433894418014101/136462184980209,1067895561421084371421733/1594110715669862415927)
(136719822560400686/400988329744249,50554164426678796678503422/8029668199711354740557)
(-7792090835238567362/827386180633797849,23033768370065412024328013870/752596846569796668130422243)
(49474620631596942781/187998488705805625,348012481553288269097460844071/81513874621086196397078125)
(-13154494071073315351/2181094990368424900,126924172338022172305236106357/3221156832487228744629443000)
(4123427212254877192369/26004321255992832900,264840250031517830146444099994903/132607559979617748660426267000)
(2257645940755585338454/441817103210498847225,405377659133996320092486486389642/9286750669909685122575827557875)
(47558150637286931570582/17599706706604990969,10371401730050963783905495380910154/73834297266621088899529853453)
(3177224678772640878733/1492352539193798622081,2433427128029737002655458097584767/57651039615623484352584234897729)
(55264716995214177520597/21576626869948683373681,134046850388611458897033403647066885/3169387399010865830330658561446921)
(123975830609603676593377/22285590497667338085904,146690673854702411264898508294292271/3326872973748989959220049564550208)
(-22561690480611045102566651/1920816329451006251988361,32763506058455050860729269653345412541/2662126929662951902554947646201571109)
#
# a = 1811:
#
(5,44)
(17,82)
(353/4,6641/8)
(-431/36,2105/216)
(-42991/7396,25558055/636056)
(-71815/7744,21694643/681472)
(114805/6561,44995904/531441)
(-162775/26896,175848661/4410944)
(-320335/26896,48626839/4410944)
(31393/33489,260862254/6128487)
(-452519/110889,1541652670/36926037)
(4762621/81225,10440254456/23149125)
(4123577/373321,12819584402/228099131)
(11730473/190969,40333269646/83453453)
(1296605/1087849,48307557808/1134626507)
(20872169/250000,95504993803/125000000)
(161626433/1444,2054795389631/54872)
(95031329/18054001,3393422830090/76711450249)
(454034201/10758400,9790448989949/35287552000)
(337758389/31528225,9761578117912/177030983375)
(1121451713/2502724,37555646179969/3959309368)
(912639025/287913024,209718620490583/4885308191232)
(15200089985/705646096,2036712007344961/18744782894144)
(6854443273/1446813369,2409727017879046/55032440116653)
(325842516289/638067600,186000700241837087/16117587576000)
(36599479299953/141497850244,221429298198687369751/53226114343483528)
(21345316782193/1568951646084,129304887298745062249/1965234314948604552)
(8330009458433/2859136046404,207136525563516898529/4834507422592430792)
(155956325139865/1669243328064,1949782419645289889347/2156649025912063488)
(51397277094509944328785/7248759825713146273296,28732447677592884900008026776972761/617156866985563094668406247265344)
#
# a = 1841:
#
(2,43)
(-10,29)
(44,295)
(148/9,2141/27)
(506/49,18605/343)
(337/36,11143/216)
(1331/25,48854/125)
(1985/16,88481/64)
(-2050/169,16463/2197)
(-817/289,209504/4913)
(800/961,1278439/29791)
(8275/441,851194/9261)
(-7097/729,596476/19683)
(-7360/1849,3352453/79507)
(39320/841,7866781/24389)
(-27320/2601,3464621/132651)
(-87314/27225,191008441/4492125)
(639136/2025,510978509/91125)
(33497/27556,196364477/4574296)
(-438518/77841,885433373/21717639)
(775016/87025,1295709311/25672375)
(-1669972/182329,2549835749/77854483)
(5893666/1089,14307978635/35937)
(3627401/158404,7419353285/63044792)
(10797326/70225,35488225051/18609625)
(8727146/485809,29593376525/338608873)
(11722510/1083681,62879239709/1128111921)
(49401668/182329,347242213541/77854483)
(53756564/477481,394391200435/329939371)
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(818301395/1819801,23408540359954/2454911549)
(1869801788/37249,80852481952409/7189057)
(6412868522/68541841,514121856378397/567457901639)
(6259825279/30569841,495324569888560/169020650889)
(2319116759/472236361,454260373221220/10262168360891)
(920580571/569538225,583860024049994/13592029739625)
(21340296602/123854641,3118019417593837/1378378299689)
(3658486070/1534523929,2588689317168457/60111905870717)
(-5656024316/2763499761,6218740506692575/145274418936009)
(66378648806/2512515625,17935229027749921/125939845703125)
(-202802302384/16961155225,25336980152071211/2208936050727875)
(-218671486655/17879968656,8190751747177441/2390837888805696)
(331285154230/41397192369,408614116522523813/8422796950973847)
(2085511599641/132394099600,3652795860453175939/48172917080456000)
(6035199270508/206458458129,15363112961502317969/93809974829280633)
(2832132001721/238671331600,6909854405017543981/116600492339864000)
(12622068146006/341727930625,45654928854884423971/199765605045109375)
(40848488575400/45804132361,261074558079694713661/9802954603768859)
(-10157382920159/2331857269764,149315772760228375505/3560843988934958088)
(-519027598769119/81488859385924,29264036835243676494895/735609549362143487032)
(15467434510308190/151338785732289,1925313983323045785782227/1861767169319261829087)
(172039490764676480/20780802125719441,147014013784440535348717681/2995666484437304236967239)
(-13827411834523189559/2055179261649688164,115486786299792116323706080805/2946283701954200784440397288)
#
# a = 1897:
#
(-6,41)
(-12,13)
(99,986)
(228,3443)
(358/9,6875/27)
(-216/25,4423/125)
(-26/81,31751/729)
(2319/121,125824/1331)
(-1797/169,57910/2197)
(7666/9,671203/27)
(-6767/576,229447/13824)
(23088/1681,4617157/68921)
(50712/169,11420401/2197)
(66138/1849,17357845/79507)
(114697/1764,38978171/74088)
(29404/11025,50671333/1157625)
(-125198/12321,39821545/1367631)
(700506/5929,586634243/456533)
(336393/42436,427824517/8741816)
(-57609/54289,550762808/12649337)
(345081/52900,567376979/12167000)
(-1105506/89401,66311491/26730899)
(832182/175561,3292587355/73560059)
(5875048/370881,17307831437/225866529)
(-1846983/595984,19881610349/460099648)
(16320172/613089,69166486621/480048687)
(22713408/2588881,211266561883/4165509529)
(94557177/3888784,978264504589/7668682048)
(-28855223/8749764,1116563219099/25881801912)
(291143556/21025,4967761911421/3048625)
(-127519509/24078649,4940563026218/118153930643)
(674719032/11854249,17615987172239/40814179307)
(470826183/85507009,35921276767480/790683312223)
(2523668604/45900625,127500797611067/310976734375)
(7712901438/7879249,677371798790455/22117051943)
(3116337016/425390625,419869956443939/8773681640625)
(6110669503/275128569,517379118820460/4563557574003)
(-2974400448/738371929,858680780216729/20063780426717)
(-5891444186/880843041,1044980625579409/26142540613839)
(-6414475031/695376900,611504135890453/18337088853000)
(70164281406/128300929,18585602360003057/1453264622783)
(79986339514/7074660321,34401327203045881/595056754259631)
(-153004090284/19070229025,97849245252228611/2633503277207375)
(14216043567714/1127994809041,74803971132911020559/1198010574832983911)
(17749068801459/11783319601,74776215253150624774/1279091126008151)
(-33426488004663/7662532624384,903390212857642567429/21210871108470833152)
(1185901008822706/14092913926809,40903726798039865615477/52905545805679106877)
(612991217201239/146427400316961,78651497584877593234076/1771876825136055994959)
(21722443426331713/121296213063936,3202098741522932054507423/1335890505546284322816)
(-1410392242023768519/120859695094416100,737165647438220732396116621/42016729176536594809841000)
(2452597369359767331/236974817345151649,6324386317783756461184334962/115359481609686508408127857)
(25615889310574859689/1028246436978516900,137371062828351666447113331637/1042667459585103792315303000)
(79664919548155938033/17241138532026256,711050894354651544181022546633/2263856591375190069628096)
(193544372655180959022/9494751045644762881,2978893534284490488329852318255/29256702320700377174286041471)
(-200940909209479093191/44084356547906522500,12426254924358968701918926516877/292702720769916368509590875000)
(-77056655455281015422823/7594413662492766527044,19322552940089729839984897718701091/661822265253908330174420892784072)
#
# a = 1907:
#
(-11,24)
(-47/4,135/8)
(41/4,437/8)
(113,1202)
(13/9,1180/27)
(193/16,3873/64)
(361/25,8766/125)
(2993,163742)
(817/289,215814/4913)
(30697/784,5463051/21952)
(20273/256,2892073/4096)
(20789/1681,4247716/68921)
(-16319/3844,10196673/238328)
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#
# a = 1954:
#
(-9,35)
(15,73)
(95,927)
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#
# a = 2024:
#
(-10,32)
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#
# a = 2143:
#
(17,84)
(-3,46)
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#
# a = 2157:
#
(7,50)
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#
# a = 2185:
#
(6,49)
(36,221)
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#
# a = 2201:
#
(2,47)
(20,101)
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#
# a = 2221:
#
(27,148)
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#
# a = 2292:
#
(-11,31)
(13,67)
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(109,1139)
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#
# a = 2296:
#
(2,48)
(-10,36)
(9,55)
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#
# a = 2453:
#
(-13,16)
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(-151/100,49493/1000)
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#
# a = 2459:
#
(-7,46)
(173,2276)
(-79/16,3095/64)
(2105,96578)
(41/100,49589/1000)
(-1915/169,69616/2197)
(-4055/324,130229/5832)
(12241/36,1354375/216)
(14425/1089,2485414/35937)
(140105/8464,65124539/778688)
(435377/14884,301056713/1815848)
(123445/47961,522651448/10503459)
(-2487143/278784,6155856323/147197952)
(10831937/103684,35688392767/33386248)
(3747253/549081,21440320264/406869021)
(-1617235/923521,43961721868/887503681)
(9314081/2033476,146575755665/2899736776)
(121134389/3193369,1362918547360/5706550403)
(892341785/20720704,27063345080701/94320644608)
(793202777/30382144,23833223194717/167466377728)
(-814423463/60652944,2911772149597/472365127872)
(2127355745/36156169,98711084270366/217407044197)
(2429470993/297873081,281656529190226/5140991504979)
(-3862244071/394816900,306144396074717/7845011803000)
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(6404494529/613057600,910647105555167/15179306176000)
(-3195148007/1139670081,1899298674760726/38474122264479)
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(-5527543163612649263/409543448992049124,155344734743868278034904313/262089712906248072645603432)
(-7351138540829282299/756549735031755625,25837129800894157594444857176/658045957102222125548796875)
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#
# a = 2628:
#
(-12,30)
(12,66)
(36,222)
(-8,46)
(-3,51)
(16,82)
(96,942)
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(-23/4,395/8)
(184/9,2854/27)
(57/16,3309/64)
(684/25,19002/125)
(381,7437)
(1296/25,47094/125)
(1896/25,82806/125)
(-27/49,17583/343)
(-1608/121,22314/1331)
(1341,49107)
(-1028/81,17614/729)
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(37/49,17585/343)
(1101/121,77397/1331)
(-3732/361,267690/6859)
(9684/25,952998/125)
(6408/1369,2646858/50653)
(6109/25,477523/125)
(10768/529,1279682/12167)
(10128/1681,3677250/68921)
(15292/361,1923434/6859)
(22084/169,3283766/2197)
(8284/1089,1990594/35937)
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(-16928/1681,2762686/68921)
(-27084/5041,17798322/357911)
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(71524/6889,35001334/571787)
(-236448/17161,7901274/2248091)
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(165993/1024,67650123/32768)
(-32927/4096,12037265/262144)
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(-144336923/12766329,1568739641345/45614093517)
(-1129031172/85729081,14717971493850/793765560979)
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(-544217703/77862976,32853905813949/687062900224)
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(139530071513037/73342592712841,32241501618747317949579/628108090927958996389)
(-2043801306093276/231130448850625,154633292330660072907618/3513870435614830609375)
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(7071733199579049/884638064704,594687489326898739257621/832048101033476608)
(-4508757181536824/395432275059441,266153340986795228899042/7863360201616737757239)
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(-13763522177732648/1078780952729601,831888827131140268669394/35432345714994151654401)
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(-262775052334702884/34362657892305625,297467162541458421489046086/6369863450948663318171875)
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(-666133247223510072276293039/52050953850548187262072900,8661379841517636795322625742098988609959/375528617804209808303401127708870317000)
(249756259069376220824636392621/5830292806222575754270298025,126886459794872665568331173694753403450553669/445179901819246815198356485192157811535125)
#
# a = 2638:
#
(-13,21)
(11,63)
(57/4,595/8)
(81/16,3367/64)
(33657/196,6176269/2744)
(-24167/1764,604547/74088)
(87641/16,25945437/64)
(22467/2401,6917651/117649)
(30731/11881,66732393/1295029)
(297683/169,162416877/2197)
(243833/14884,152299917/1815848)
(-205397/16641,59087665/2146689)
(-694221/51529,162360611/11697083)
(2050043/83521,3186318345/24137569)
(3276611/9025,5931291891/857375)
(1258601/193600,4597377099/85184000)
(4523019/354025,14476945897/210644875)
(-13432807/972196,447974205/958585256)
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(101372777/8213956,1582308184821/23541197896)
(37027817/10137856,1673134028811/32278933504)
(-66431391/5664400,431592584977/13481272000)
(10590651/8850625,1352817755351/26330609375)
(926322041/7474756,28212642516723/20435982904)
(1077142011/1635841,35351793645623/2092240639)
(9392348393/37039396,910324893920715/225421764056)
(-6958753983/725548096,818897609148191/19543363513856)
(-9777133981/1310802025,2237575473540603/47457587315125)
(14035609723/659616489,1876721861217167/16940930286987)
(14484227003/1898432041,4592163987745425/82716582458411)
(30546629521/952586496,5548264118596423/29400629612544)
(54179789203/13598591769,82418164554749437/1585772581958397)
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(40090390862393/1060710488464,259967458669457911827/1092434217752981312)
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(8417636221160669070113379/157556060276154408499225,24632553930942804039610316466286183883/62539250041903927211244957999744125)
#
# a = 2703:
#
(1,52)
(13,70)
(-47/4,263/8)
(3217/36,182809/216)
(30961/256,5451977/4096)
(-39143/4761,15222644/328509)
(143221/2601,54638342/132651)
(-21623/10816,58395611/1124864)
(157081/9801,80129312/970299)
(-63479/17956,124067653/2406104)
(-252551/19600,65146957/2744000)
(85213/33489,319591898/6128487)
(787357/22801,721212986/3442951)
(2182921/198025,5602823156/88121125)
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(69924673/1106704,587841609503/1164252608)
(103762069/198025,1056968426122/88121125)
(57213193/7529536,1158072673435/20661046784)
(676959673/148996,17613440780915/57512456)
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(-116354290859/8353046025,348368722879814/763426641454875)
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(-1274463267419/1185857838841,67123133241691435598/1291364796620522611)
(-518828513128943/37823471706241,2569384103403701111384/232617339047646943039)
(-5186462853443579/519811044403225,490037277794399702335906/11851361732380333952125)
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(679752226109031721/27355289688767716,607798981562953813952647093/4524410247714279933733736)
(488502298278734689/81849301920648900,1264404798621601641463230863/23416526248765532258013000)
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(-18455876797112720927/7057074320149609809,971445286538891523765508701448/18747226942104461808631219623)
(45188166578783685775201/332739478898612161600,9611060062693084716642490464697199/6069550066722882278401030336000)
(70765203549783598625701/168546133521880123321,18825112082705605846480646338154722/2188155548496168841637491630381)
(-343844155984406414826472919/24865307998120302846145600,950330010239734779048885989069387416021/123991171855316989161504372994487104000)
#
# a = 2726:
#
(-5,51)
(-13,23)
(121/4,1395/8)
(115/9,1873/27)
(209/16,4505/64)
(1657/16,67533/64)
(-671/100,49233/1000)
(-1997/289,240489/4913)
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(10723/289,1139631/4913)
(12185/1156,2453629/39304)
(34523/2209,8398211/103823)
(11633/3364,10263991/195112)
(207523/1369,94573449/50653)
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(1929841/12100,2681810889/1331000)
(1244555/361,1388420941/6859)
(5819417/2116,14038452797/97336)
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(-14015303/1028196,14496262253/1042590744)
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(-18328999/1517824,58090149725/1869959168)
(-20536501/1500625,23463364693/1838265625)
(-42243269/3478225,198309133629/6486889625)
(5053081/3459600,336162934979/6434856000)
(404995667/1681,8150336978423/68921)
(-272181365/22781529,3473776203517/108736237917)
(-1653373055/126292644,31166931626497/1419276733272)
(-1302960599/250209124,201217999926165/3957807923432)
(-4427414423/519110656,542722732781493/11827417186304)
(-6625886975/507691024,256564250670207/11439294152768)
(-3141395063/655564816,858498681086757/16785081548864)
(-16761013951/1298881600,1124668756634593/46811692864000)
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(337419964939/3394810225,196271926679280363/197798617759625)
(193186113073/6156285444,88577148425376151/483034468507128)
(551758757995/5450425929,410387093791551683/402388595060283)
(776689038457/61531779136,1050527655626252493/15263327005359616)
(4484543243185/290307595204,12525390883932990633/156418312911105608)
(12345213318131/79615958569,43391695076968047025/22464677717704747)
(12656672280059/1230278054041,84283176861899106395/1364598581703142339)
(43747683789083/1132996322929,296127749949934766701/1205987345041054967)
(1468472296801394617/31649369244068416,1803621632683885926389730003/5630508115219253214849536)
(1942674359314331411/228581775798130225,6315781187413998230402142409/109285464746808243337459625)
(-24774026997660694949/2842721321761237225,217754764751898159237920674299/4792933798227369217731467125)
(-36942898194102491117/5675800232572802809,669338910763813436075279722929/13521991301147404158502592627)
(62284541036383470995/4664994273581367961,719978496636339592550632989841/10075733510103707489925876541)
(352811757740252789971/96066210614063724225,49605449440547324219449249028231/941577322313664464206077806625)
(888993577765584364552854121/103025062262686849087778704,60692082558953201124153754621138740767925/1045717385691962555550018572092804668608)
#
# a = 2758:
#
(9/4,421/8)
(393/16,8485/64)
(-503/36,1189/216)
(723/49,26503/343)
(-909/121,64303/1331)
(3411/625,844409/15625)
(32811/361,5954227/6859)
(-218357/16641,47941685/2146689)
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(143440203/2193361,1726382770085/3248367641)
(204480931/488601,2924067482407/341532099)
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(-2842738541/334341225,283028106790927/6113429299125)
(-11662544991/4607694400,16377294677953777/312770295872000)
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(-1603523241087/137672165764,1753160066193209857/51082155729406088)
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(15473127932089/240519623184,61179369786676071251/117957557758882752)
(-62718499274759/5091268755456,342440542244743551757/11487857359510831104)
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(-3307875388396530685280567/249356569300687919895696,2562609624516733184771292588948995195/124517737611134408179100406513495744)
#
# a = 2817:
#
(-6,51)
(-12,33)
(18,93)
(24,129)
(-2,53)
(27,150)
(33/4,465/8)
(-44/9,1403/27)
(214,3131)
(684,17889)
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(-143/16,2935/64)
(-281/25,4672/125)
(2199/25,103332/125)
(-2274/169,42873/2197)
(1327,48340)
(1948/121,111277/1331)
(3729/100,233817/1000)
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(8598,797253)
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(-5808/1849,4196589/79507)
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(-8559/10000,53069511/1000000)
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(-92956406707788/8482673725009,957186554699713282311/24705812672109887527)
(-156185898902256/14478397892401,2177072891923303878999/55091013422082532649)
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(-13540243223257915749/1245826037281350625,54447933387462213466634279874/1390548384417317613399859375)
#
# a = 2913:
#
(-8,49)
(-14,13)
(58,445)
(286,4837)
(-626/49,9869/343)
(-383/36,8929/216)
(1159/9,39484/27)
(6937/36,577891/216)
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(-8396/625,345433/15625)
(-797/441,499330/9261)
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(-4583/1296,2498941/46656)
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(-19369304/1651225,76471866131/2121824125)
(-31387292/6235009,821678099567/15568817473)
(-65921429/4626801,45323393282/9952248951)
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(-762813671/53582400,2064811083517/392223168000)
(-560024822/114041041,64379819096725/1217844276839)
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(43388025131738751106531/294575206690338343641,9041754119263113797121710041402742/5055851234728569909326331203811)
#
# a = 2920:
#
(-6,52)
(6,56)
(81,731)
(1/9,1459/27)
(609/25,16477/125)
(2214/121,126592/1331)
(-3846/289,116588/4913)
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(-54506/4761,12376952/328509)
(-106634/7569,7326224/658503)
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(-197711/21609,147428693/3176523)
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(-568986/156025,3302523088/61629875)
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(48130335152592193169281/1878705434403773490564,11439305629976599547186022871343039/81430675497486794634678115738488)
#
# a = 2934:
#
(-5,53)
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(145/4,1799/8)
(-125/9,431/27)
(-29/25,6769/125)
(2905/64,159011/512)
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(-39431/3600,8693747/216000)
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(-237365/16641,12125267/2146689)
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(-214798151/15840400,1323329479507/63044792000)
(-237544751/25100100,5743916299943/125751501000)
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(28849117134470362713505/9786379052504280996,4900030862748254707042052247902543/30614914415503927835637690456)
#
# a = 2962:
#
(23,123)
(-7/4,435/8)
(17/4,441/8)
(63,503)
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(-649/49,8667/343)
(-159/64,27793/512)
(-1641/121,28781/1331)
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(-29463/6724,29578571/551368)
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(-504409/55225,608719611/12977875)
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(-2855303/345744,9956930509/203297472)
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(-18777673/1315609,11122907709/1509003523)
(14260113/1012036,77266098937/1018108216)
(-13284287/1340964,69267337055/1552836312)
(-36622999/3489424,276997492533/6518244032)
(30378041/4892944,612377917677/10823192128)
(193476833/8836,2691184388847/830584)
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(-466464079/91393600,46472233307031/873722816000)
(-858021967/113081956,60427556609577/1202513520104)
(1166272121/109035364,73661136935667/1138547270888)
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(-6928196057/710169201,853427070703187/18925299037449)
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(5481777189986369/74812639324900,407390482516134988311903/647086686955969807000)
(-155397392158016233/11128896054177889,18167322016744286746366629/1174027119589787629986287)
(254412340191020161/2734119860371344,128559482695504760393150783/142963879364423456603328)
(-572792312139657823/48229245191650084,379949140723230464485813809/10591700642287187371072552)
(-154864427796366840937/11198772224108748889,667769538083220451620943412595/37476205971583140852622892963)
(-146570586262594575711/11876284101402250000,1346436385797752818089573035663/40928032455826281846625000000)
(29812737688374866097961/3863486454435863028900,14046759484649448341206203767165291/240142535030839913748282569913000)
#
# a = 3012:
#
(-8,50)
(28,158)
(-11,41)
(-128/9,314/27)
(292,4990)
(-44/25,6854/125)
(241/4,3767/8)
(1084/81,53614/729)
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(-2891/225,100727/3375)
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(16336/1089,2872178/35937)
(13744/1521,3632446/59319)
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(49648/8281,42811222/753571)
(-54152/10201,55122602/1030301)
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(97684/16641,121705534/2146689)
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(-781883/187489,4401477121/81182737)
(-6397076/474721,7774853566/327082769)
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(-23722388/1656369,18378049906/2131746903)
(18358849/87616,78675453599/25934336)
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(565326652/32069569,16733722278946/181609969247)
(1133598604/31192225,39346361805442/174208576625)
(353986417/18714276,8006121462025/80957957976)
(-967257536/73119601,16508605645634/625245708151)
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(2771192884/928725625,1560147040141402/28302913421875)
(11797308724/1397937321,3141712694201066/52267478494869)
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(54292027156/2903593225,15289393688396554/156460120929125)
(-67795466048/4704725281,1433800824613870/322701811749071)
(-28675045979/1991390625,455924206655569/88865806640625)
(139152991957/6987120921,61007546497089545/584046450665469)
(668889504844/13014018241,553090198483512094/1484626186915039)
(954507951976/148427579169,3273956159650815122/57183654433386447)
(4790957868004/6365007961,10486608657743986106/507806700136541)
(654609564757/125076102921,2484768194259613975/44234539635143781)
(18665840317792/212381800801,80822562320833814830/97875940517340049)
(8267667398716/837325653025,48304848503468753986/766199025428791375)
(31640830190248/15412974201,177980277902740801802/1913505334079949)
(23323949338693/1671696429481,163583176230792305807/2161404853229593621)
(91567086602344/3229672642641,932317237286403787106/5804138366596777689)
(223501764686332/3123310409521,3355050261917796249550/5519792130331958569)
(200307255916201/712116576900,2835139340575688289301/600933815748603000)
(633314419413109/15340061025,15937825384190031096023/1899943258251375)
(2448355772628748/1783851400881,121146826368699961143922/2382527985679271529)
(1447328010590269/636247117801,55061812905448812274589/507503149761085451)
(-1334468005837367/146038378913956,83694209371597704851077/1764820359128475752104)
(-2660218547025512/774006204815089,1173808563157532571156670/21533601081955832171063)
(-1274354523351550991/88282808053092900,54048154070712950682823223/26230961365013027030967000)
(1626495657527557800901/3765344902398612225,65597528455269409026361458963649/7306462254468844788466154625)
#
# a = 3033:
#
(6,57)
(12,69)
(-9,48)
(-2,55)
(-14,17)
(52,379)
(192,2661)
(84/25,6927/125)
(-63/16,3489/64)
(423,8700)
(1536/25,60591/125)
(1374/49,54321/343)
(3354/49,195159/343)
(937/36,31051/216)
(2169/100,115053/1000)
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(-4008/361,279831/6859)
(11148/49,1177203/343)
(-7512/529,158397/12167)
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(14931/961,2453658/29791)
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(10639/729,1542484/19683)
(-8621/1089,1810054/35937)
(-50442/3721,5283645/226981)
(-6078/4489,16557045/300763)
(-16703/1296,1393631/46656)
(12136/3025,9259741/166375)
(-52284/7225,31638111/614125)
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(-140718/10609,28898535/1092727)
(-89901/9409,42424134/912673)
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(-3719636/366025,9862471513/221445125)
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(-11544996/801025,4480568133/716917375)
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(-1809474/12737761,2503661688807/45461069009)
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(3559718896/190302025,256924193408569/2625216434875)
(6344073676/43890625,505557209817701/290775390625)
(4147522497/473236516,626730245640129/10294787169064)
(53527648257/15241216,12384180114990081/59501707264)
(27845351227/82682649,4646717741063530/751833327357)
(61649758366/743598361,15347926502935813/20277183706109)
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(138442822656/10197970225,76617069589579821/1029842023171625)
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(-9949810008/16065309001,112138003863455289/2036261850567749)
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(457857563968/99864216169,1765401966605426327/31558390544214197)
(-594428096462/127491129481,2464764440197599595/45521855201356379)
(-850184001212/155711527609,3291845452632526177/61444235929094227)
(-5666049631866/399604772449,3410813955922765239/252607359670228207)
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(-45512359268039/8871045264900,1422356158564409302541/26421787348336107000)
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(-315822977019834/66607323691561,29406929064989424423987/543604415670971227691)
(5482994302255566/235413448689721,452113387421124615658347/3611993036388191660269)
(-6269172248672412/524476274693809,437239246946683342932723/12011265607657708041623)
(7287252135771889/357464061158400,724928109370993950560713/6758472914384744448000)
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(-140284159592142794/11116003832516521,37486662750904874515280173/1171987640547648632188181)
(275672903754146617/14271543123582096,172528810973754493316578451/1704929405322809634750144)
(960045347289422593/10068402975810624,942314729103757428992694143/1010277972545899372973568)
(-17876358793171294514/1481785670799288481,64461949644112164357945776153/1803757235085645800546665871)
(165682066472800252201/1916545362842250000,2137618989216854218514549193301/2653252942773952425375000000)
(-3598475908405413250434/349437081535700535001,287778857457055310709346343644773/6532109920006799991560787521251)
#
# a = 3144:
#
(-2,56)
(-14,20)
(25,137)
(505/9,11449/27)
(-479/36,6065/216)
(337/49,20203/343)
(2590/121,151472/1331)
(4066/25,259364/125)
(20482/729,3132172/19683)
(7918/1521,3399904/59319)
(3145/784,1243451/21952)
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(-36110/7569,36279964/658503)
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(-221903/21609,144212293/3176523)
(-9023/23409,200822147/3581577)
(462697/13924,327941323/1643032)
(-270359/33856,319760395/6229504)
(-140063/38809,425469773/7645373)
(-238175/75076,1147562737/20570824)
(1861297/21904,2545853033/3241792)
(3864322/273529,11047514708/143055667)
(-3544082/398161,12407173936/251239591)
(206133097/17156164,4963350169397/71060831288)
(-366499319/25361296,1434202948325/127719486656)
(-431830391/30085225,2255408876977/165017459125)
(905674561/561001,27255767514275/420189749)
(670363945/53333809,27896641323649/389496807127)
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(882223570/155975121,112324854869972/1947973286169)
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(-5312630834/419635225,287023249082536/8596227584125)
(-6274324334/666104481,825953157791740/17191490550129)
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(-29069220866/1988714025,405634742954848/88686701944875)
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(-984321359615/79999596964,809941965153525119/22627246004491688)
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(-234524676665774/18926667529441,2901151487687016960740/82340069626814952239)
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(2128078399409986/5236019415225,98172896366106581626484/11981242886597377875)
(-43552477116478295/4395441776304384,13578507881822440725491051/291409561501975417393152)
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(24721021542767954905/2490647169542692356,252355783759099301868382665827/3930685649675418718535850504)
#
# a = 3158:
#
(-13,31)
(11,67)
(17/4,455/8)
(931,28407)
(-671/64,22929/512)
(67/121,74799/1331)
(2689/144,169921/1728)
(6361/400,677859/8000)
(14617/2116,5748291/97336)
(-201023/13924,20045025/1643032)
(165211/4761,69643277/328509)
(234403/729,113492033/19683)
(361993/6724,219989157/551368)
(414931/15625,288936921/1953125)
(356993/3844,213719423/238328)
(-263263/17956,6053809/2406104)
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(-15266909/3200521,316185875697/5725732069)
(-53144189/3845521,171734577687/7541066681)
(-27403711/3312400,306910421663/6028568000)
(530592611/1221025,12222221598391/1349232625)
(-1060151837/74978281,11815086415665/649236935179)
(14956062769/7907344,1829051862914391/22235451328)
(-2928403781/403407225,426858592235453/8102434114125)
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(141562650289/923065924,53285992572317481/28044588902968)
(83472345593/358647844,24119500655960627/6792072869672)
(-94167228511/12894056704,77037999595681009/1464145926852608)
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(1723563542929/398082304,2262772840273733049/7942538129408)
(-1737664825669/856030197961,44449183612888297267/792015403727278459)
(-34258241282909/3024465331801,217169793158324708673/5259844634069787299)
(-150569186317823/16630932234816,3333611359280752328449/67822671270532068864)
(-280182090366373/19255325071921,742222781439679054939/84494080139520748969)
(-277213251719879/21281854127076,3022689450848486354387/98178002787234307176)
(-960875115032551/81687613134400,28883180210162806663043/738302450022283328000)
(17984238820198723/139690013816809,2413566170962763434750143/1651003676871597861877)
(1704785046709669782841/2486535711750090000,70389287454439114288383819041389/3920956746426636693777000000)
(1598993532172490944217/144626453833095575056,116797335076857260103858839622371/1739288424005768912715981839296)
#
# a = 3163:
#
(-3,56)
(57,434)
(457/36,15589/216)
(-1431/100,15253/1000)
(75993/12544,81743843/1404928)
(853449/44944,953302021/9528128)
(325161/271441,7955742998/141420761)
(-2755791/319225,9053475802/180362125)
(-4042587/337561,7456290820/196122941)
(9113673/753424,45931719877/653972032)
(38745457/1279161,254529646714/1446731091)
(4704121/2604996,236681372627/4204463544)
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(154742949/2544025,1938416322332/4057719875)
(357317913/498436,6754357559005/351895816)
(1305409753/10751841,47206706571710/35255286639)
(25469875489/204261264,4068124274968271/2919301985088)
(-63165690143/5104816704,12989995217467345/364728943867392)
(62860681641/8598111076,47528008186040053/797268447633176)
(-495908719967/34994436624,116586393312268657/6546339270378432)
(2012057611309/12910640625,2855235926865227752/1466971541015625)
(4146290270301/37388476321,8452643900919960512/7229473169904881)
(385351388089977/18133067790436,8722486882176114267731/77215933773606876184)
(1020656168644462617/765689345351885824,37695633525427368193445094275/670006330048749994137976832)
(-3762166795533470134047/335278835253272372224,256830726379945646082653114823983/6139163625317265095014832570368)
(-44999900810190026451827/3113550273242030472081,2084606507964515629390990962676640/173733601924463661290441972627271)
#
# a = 3209:
#
(-10,47)
(8,61)
(38,241)
(23,124)
(-68/9,1423/27)
(-4/25,7081/125)
(-334/25,3589/125)
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(211/81,41410/729)
(1676/121,101945/1331)
(4780/9,330481/27)
(10385/196,1069657/2744)
(-6719/576,556705/13824)
(12451/225,1402426/3375)
(18695/1681,4666588/68921)
(66680/2209,18195181/103823)
(-50320/3721,6157393/226981)
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(-49420307682400080180401/10458820728654692240025,59586748283505913972164792039269368/1069606610742357936523885488199875)
#
# a = 3229:
#
(-9,50)
(75,652)
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(-735/64,21199/512)
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(12367/9,1375298/27)
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#
# a = 3337:
#
(24,131)
(3,58)
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(-77232/17161,128079023/2248091)
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(49608621867597561561/22626761778029929744,6227251946799737738104011440867/107630066033035796060738385472)
#
# a = 3356:
#
(10,66)
(2,58)
(-11,45)
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(193/4,2721/8)
(610,15066)
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(1514,58910)
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(-1795/121,12721/1331)
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(-66278/4761,8427878/328509)
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(-77635/6241,18651551/493039)
(-133615/13924,81696263/1643032)
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(80755416144912307039109/3570040891445197680625,26064194833071336313221636454933477/213309297711206365839473150984375)
#
# a = 3368:
#
(-7,55)
(17,91)
(182,2456)
(-31/4,431/8)
(58/9,1628/27)
(74/49,19916/343)
(86/121,77248/1331)
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(9074949401/339259561,937484773390297/6248821854059)
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(-56194947631/9011325184,47823592621468391/855427077066752)
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#
# a = 3419:
#
(25,138)
(61,480)
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(-55/4,229/8)
(181/25,7704/125)
(-1823/169,102198/2197)
(2129/64,102695/512)
(-503/529,711342/12167)
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(-3155/961,1732908/29791)
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(-24079/3136,9564745/175616)
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(-4795183/327184,3080673383/187149248)
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(-222355103/36216324,12305127140623/217949837832)
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(255989765523956028889/5626755247843845025,4169446278308900651600934329838/13347103769617520419392431375)
#
# a = 3482:
#
(-1,59)
(-23/4,459/8)
(-47/4,345/8)
(103,1047)
(607,14955)
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(1481/64,64507/512)
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(27607/1849,6561369/79507)
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(-6769129/667489,26932457137/545338513)
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(-10070063/2090916,175524846425/3023464536)
(313055761/13675204,6291709805127/50570904392)
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(-911881007/60341824,2605036854375/468735288832)
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(-7805153842369517681/529179779417448481,6363440715932761634429880189/384950476366167368252787121)
(91946431151327319137/32377473626089455616,10906926454773778593773676260335/184231733023025565956690673664)
(137899791767019586089007/2047958302685244143401,51500091115061755535049165448420635/92679069530504472564422341449899)
(188757994949035351660810441/8808322931450197465472100,3017448063677452872566813325537065118011/26142062136916636811508660007887231000)
#
# a = 3489:
#
(-2,59)
(10,67)
(-5,58)
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(64/9,1675/27)
(-116/25,7277/125)
(580/9,14059/27)
(409/4,8285/8)
(1528,59729)
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(13960/3481,12242893/205379)
(-67280/4489,3325621/300763)
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(-6788054725636544/473485632075625,239958004964645111507771/10302917145416779203125)
(-24629650655632580/1961349972211161,3374024279562885707580403/86862563156162046869091)
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(645737046746006842012/1469627422039556649,16409391842695573971615223966267/1781602733769607563884249643)
(-9147043462754796964895/605814909830778995776,102126336963685824388496685303983/14911108709791669534715092798976)
(27994007672787040525467859/137927853139523876689225,148145415156481717613862634306148331602/51224527915168772039938075872530875)
#
# a = 3496:
#
(9,65)
(-15,11)
(-122/9,856/27)
(234,3580)
(486/25,13016/125)
(177/16,4457/64)
(330/49,21148/343)
(577/36,18847/216)
(19290/841,3042596/24389)
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(-75882/6889,26571584/571787)
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(-245151/16900,46273007/2197000)
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(41510730/1256641,280118478796/1408694561)
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(-92119765201879612112135/6424876678606758088704,12060294893535420899918721707452813/514988100411620029632549838651392)
#
# a = 3508:
#
(-3,59)
(21,113)
(261,4217)
(-159/16,3217/64)
(-207/16,2345/64)
(1201/36,43543/216)
(-563/81,41059/729)
(1041/100,68089/1000)
(25057/576,4050001/13824)
(50781/3025,15101429/166375)
(18913/4356,17225425/287496)
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(-43742652959833729151/5169966802287210000,633291055627721825570064663743/11755243553498037689481000000)
(-6942381393692746627947/1302130121255880497161,2722209381926504021723318690821025/46987417681302343859794916568091)
(-5265037593078962339854079/857858649148859232813156,45483057186420459210627499933151913983/794554334958862767491687344795548696)
#
# a = 3514:
#
(15,83)
(9/4,475/8)
(967/9,30113/27)
(-3993/289,145447/4913)
(6129/400,674633/8000)
(20241/196,2884295/2744)
(269175,139653583)
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(-221945/16641,72529687/2146689)
(-371055/27556,149800057/4574296)
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(-143329919/15681600,3256770545729/62099136000)
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(-527237423/146603664,104526062659943/1775077163712)
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(163568098708278849/6522219595267600,73151549271018151338928993/526736150290906145576000)
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(237218497770912749317185/2473432851277650917776,115767351620262985108045061896980383/123012766859545457262570441593024)
#
# a = 3592:
#
(2,60)
(-7,57)
(98,972)
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(46/9,1648/27)
(126/25,7624/125)
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(-738/49,4544/343)
(1577,62625)
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(-399/100,59401/1000)
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#
# a = 3664:
#
(-4,60)
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#
# a = 3713:
#
(2,61)
(8,65)
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#
# a = 3732:
#
(-11,49)
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#
# a = 3736:
#
(17,93)
(62,492)
(-15,19)
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(-50/9,1612/27)
(-454/49,18600/343)
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(-86/225,206288/3375)
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(-89503/5776,1713903/438976)
(-47175/3844,10354643/238328)
(89057/10201,68353227/1030301)
(282714/7225,154937312/614125)
(89745/6724,43111367/551368)
(484350/20449,381539692/2924207)
(498945/1444,352450943/54872)
(341529/46225,639410833/9938375)
(509185/84681,1549403749/24642171)
(-1398658/323761,11137888452/184220009)
(14790782/78961,56899716228/22188041)
(3932505/183184,9153128413/78402752)
(5752449/429025,22031218043/281011375)
(-8400039/547600,4556664541/405224000)
(63840446/2122849,543993636660/3092990993)
(-27448303/1976836,90452667783/2779431416)
(263069306/1868689,4269685162440/2554497863)
(160255577/167281,2028713181297/68417929)
(146041689/1357225,1767524546863/1581167125)
(68479225/5846724,1033355786867/14137378632)
(-171278983/12313081,1396309221183/43206601229)
(669842046/2640625,17338371427844/4291015625)
(681012161/22061809,18866778345435/103624316873)
(2698835537/1201216,140205387383847/1316532736)
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(8324316017/34175716,759589531514487/199791235736)
(-7584088790/732730761,1016618935986296/19834288969509)
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(-44429348578/5539973761,23399283214688508/412345787004991)
(-83070124999/5713394569,11114523168360225/431858355287003)
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(-3047565166991/271029566025,6787885621332688973/141099347220445125)
(-9287258592439/599467708009,1942847447212180455/464139671329092277)
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(1288365721695825/617083627604224,938097111266934307939367/15329078063365965893632)
(50615483655022521/1256764183756900,11708507954905758978430931/44553383699021973503000)
(-243909443759723151/30804965865499225,307735369867638312918379507/5406685374111516969587875)
(17899135436953478154/758953067835765625,85835622540025539640506466792/661184069553227940892578125)
(64406407876941464505/7540795172413504,516884630118507958825859007277/654825701064841101803008)
(563007581730601313057/37331460640117487041,19308855781331030237429489607243/228093271291765694233470527839)
(26444834333939964504062/1404663913157873671681,5371035984865879389279498717392052/52645182776576078878382357507329)
(202377712198055233058426/12145892507736925482769,122404562080285692262098030739111800/1338579439206650863685553893892103)
(1377093531595157304182037977/81352886701692918586868356,67992854573456753893158454662790859637603/733769155420794890398425052985110426504)
#
# a = 3739:
#
(45,308)
(-15/16,3913/64)
(577/9,13958/27)
(1005/49,38144/343)
(7017/4,587797/8)
(4569/289,430850/4913)
(177537/1444,74880673/54872)
(77241/7396,44424205/636056)
(-167411/11025,17851688/1157625)
(-189743/49284,663891193/10941048)
(507681/256036,7930153105/129554216)
(-4271607/303601,5166208586/167284151)
(2754585/379456,15006252157/233744896)
(20475241/90000,92664305461/27000000)
(172057161/5193841,2370103434650/11836763639)
(-3993346739/282744225,144341227088884/4754344143375)
(-8234192943/666310969,740125208773762/17199485042797)
(1837843905/979940416,1877413825114463/30676054782464)
(-12518889623/1107691524,1766278999163413/36866189301768)
(-11206516463/1256135364,2450186355012263/44519949570888)
(75751196265/986462464,20934851881367221/30982813069312)
(98259744745/7013727504,47315246103708661/587385651004992)
(363502423749/3702114025,219592235817596432/225255127851125)
(-170128555095/27517501456,270155359574852843/4564713211527104)
(987572053045/82421242281,1748335622133917132/23662396867694571)
(-2516561971815/285173088256,8412774587908442557/152286991898116096)
(36557717178681/5837205792961,890231104745451456050/14102870149173357791)
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(-2863034144857911/214590271210000,116100614455857403015813/3143511423928169000000)
(680701678591967852153665/86887990886359203054864,1663746251600493408533358624643694879/25611772335551653601724570003261888)
#
# a = 3846:
#
(-5,61)
(355,6689)
(25/16,3971/64)
(-389/25,1109/125)
(-815/64,21607/512)
(1915/81,95219/729)
(9265/144,898217/1728)
(21745/484,3273847/10648)
(-89351/8100,36477107/729000)
(38179/11025,72177967/1157625)
(154465/14884,127933103/1815848)
(592219/3025,455863453/166375)
(2196241/84100,3589039289/24389000)
(18041035/579121,81357059941/440711081)
(-19394495/1340964,44482490657/1552836312)
(19496161/1488400,141745996591/1815848000)
(-159747605/22155849,6144270765677/104287581243)
(339511675/23357889,9388703458243/112888677537)
(265097179/31979025,12016995394717/180841386375)
(1668307915/32752729,69126334817587/187443868067)
(3422055475/20439441,200266565673079/92406712761)
(6537765121/326886400,643255695969919/5910106112000)
(-3150252575/1009205824,1980387390600623/32060450616832)
(30365032459/278055625,5299085713435427/4636577546875)
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(209909795041/122988100,96172127793225839/1363938029000)
(-416513692631/31534656400,219884015529533653/5599924283512000)
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(-1080888986885/535679073801,24288311211603342011/392064049794025701)
(317560910419/696365215225,36038408026908517697/581106326627034125)
(-35315178412895/2255096883204,7936683309815519537/3386474479313680392)
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(-97643934558696725/9818301542799649,52049708655649371128137723/972869412648818000742607)
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(-527142804176353698950165/288857913755750777657241,9620278161281333226784033266771802621/155248139908160805153532284980582211)
#
# a = 3957:
#
(19,104)
(-23/4,491/8)
(943,28958)
(-833/81,39050/729)
(3799/121,248674/1331)
(-893/529,764896/12167)
(6361/484,840253/10648)
(48073/1764,11524645/74088)
(247513/5184,125357795/373248)
(-308639/23104,139285777/3511808)
(-260981/27225,249145228/4492125)
(-471143/43264,464604349/8998912)
(-1685399/258064,7951017397/131096512)
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(46877473/3857296,574553728463/7575729344)
(-110892281/8037225,831110116922/22785532875)
(281248681/562500,4716747365579/421875000)
(1421496859/2157961,53594702278636/3170044709)
(559441351/73874025,42075969009526/634947244875)
(7026901363/41977441,589289751525712/271971840239)
(-4603061813/323244441,190043458243300/5811611804739)
(14865400291/1056575025,2819977410360464/34343971187625)
(54782318281/280294564,12825540345886043/4692691590488)
(46433145163/1594484761,10777403206871708/63669370991491)
(-39837031319/2542378084,1343495421862187/128191787751448)
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(14495287758889/494068410000,59353881515174897963/347280685389000000)
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(-8428341323933/1672260199281,133812508176886871800/2162498327042018679)
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(-434408997463799/37658571408964,11373232814491209357947/231097773505390202312)
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(-1847351619730481/741289871236321,1267109468479550103616706/20182831718507795555119)
(4185434048157913/1237999424966656,2753429442565067562821603/43559277175327584157696)
(51013453366594561/7485445997214784,42336932830482212631227903/647629349917539367490048)
(998428144812228649/19075435561822500,1011314720957327176167994357/2634581845870218491625000)
(-3012419797400238431/937159873405232400,56829423562211549094552944497/907236527336180542409832000)
(7084919441351425153/2202413152467490704,206466880069026661386181581505/3268497731633353053433795392)
(65985425024496830041/1509554062621592100,548559264558047525291804001661/1854697159996277184527031000)
(404840411234706302993796810607/31041635564286308372732000001,429779282108182347529193775850766062589078350/5469112964767995097382588858396559098000001)
#
# a = 4021:
#
(15,86)
(-39/4,445/8)
(103/9,2006/27)
(-45/49,21748/343)
(-999/64,7555/512)
(-453/121,83848/1331)
(2227/81,114812/729)
(7401/100,639851/1000)
(32097/16,5750383/64)
(-73415/6084,22579597/474552)
(426315/11881,290213744/1295029)
(-431895/29584,153460597/5088448)
(3816889/22500,7460073037/3375000)
(2569863/426409,18130821466/278445077)
(44267515/710649,296968521952/599077107)
(64027983/332929,512480624134/192100033)
(-19552455/2735716,273592833421/4524874264)
(66782137/1285956,553524597683/1458274104)
(86368137/256036,802699650373/129554216)
(82604769/3168400,831596505647/5639752000)
(82138921/17539344,4716979674965/73454772672)
(843703257/7431076,24540327721283/20257113176)
(3410247415/8450649,199155414586798/24566036643)
(2169681399/112763161,126409245049310/1197432006659)
(-1494389145/145612489,95274615018118/1757105904763)
(-2302847735/144865296,3484117538459/1743598702656)
(6730127937/198697216,579984540994913/2800835956736)
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(4162444515/1018950241,2079921721298396/32525910642961)
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(-1874358450425/134798388201,1806620381709059114/49491093429608949)
(9420221539809/14611974400,28913118303579934127/1766295465472000)
(2421618582079/766771679025,42742570848315730642/671427454596636375)
(25857481868025/3402755758336,419183177070135146099/6276913826149052416)
(-1329764232759/4072856769424,521211348574837516795/8219562577791195968)
(1032036888653377/50705450842176,40291734186175815412577/361062157426146648576)
(599243935589783503/7456927480371009,465673468492621990569044906/643931809547000366794527)
(-888596924813051253/103746027117882601,1946376676331688629222378888/33416211578115676734358901)
(-23072283068714198013/1613030459577952321,67776287768470559531018726572/2048631530521433830879158881)
(-22519032549871950214029/1416415334670271425169,82176813781855057857929527868260/53307207173906825127752929866553)
(3329019407950734814008973809145/250689402632876439621754589184,10012130226486395165504042887153804734493814797/125517408267990915176624238677109421563445248)
#
# a = 4093:
#
(-9,58)
(87,814)
(-1023/64,1535/512)
(649/144,111781/1728)
(-7463/576,605411/13824)
(-249/625,999626/15625)
(97887/2809,32072710/148877)
(69721/7056,42151843/592704)
(301257/13456,193165691/1560896)
(862161/4096,800714777/262144)
(1264479/1849,1421903786/79507)
(20232343/199809,91185050402/89314623)
(54441033/2650384,487397235397/4314825152)
(17924871/3783025,476816509706/7357983625)
(-77807817/5303809,373651419478/12214672127)
(74149137/5180176,988246184711/11790080576)
(343419873/26337424,10736753619793/135163659968)
(814453281/3041536,23245856349007/5304438784)
(-350987849/43441281,17096930887958/286321483071)
(1303014327/28398241,48021413806606/151334226289)
(3097511463/141110641,203026912887730/1676253304439)
(4384800367/138368169,308459516112890/1627624771947)
(13986924073/297355536,1686396393305045/5127598862784)
(-12292260639/2849424400,9635072160025391/152102274472000)
(9876289875969/603193600,31037786587461064703/14814434816000)
(32311723341481/51765350400,183672373008969524629/11777652523008000)
(-74913009520887/6119132321344,719300722624373476453/15136824193720796672)
(1578697110429729/18757630296064,62941048769631499597391/81239446873295552512)
(1990544859749001/2498130349690000,7988594080129858710001499/124859802446960797000000)
(-196183933343172447/13065709838072896,39731793102129257448058255/1493480353119427969773056)
#
# a = 4094:
#
(-5,63)
(1/16,4095/64)
(403/81,47341/729)
(-797/81,40859/729)
(3313/196,259209/2744)
(5707/9,431137/27)
(23185/324,3549959/5832)
(17515/1681,4981977/68921)
(18265/1764,5344669/74088)
(486049/784,338862735/21952)
(1005691/25281,1040826815/4019679)
(6713137/40804,17401544937/8242408)
(-5765429/366025,3019518369/221445125)
(-1165079/230400,6963515531/110592000)
(15353755/97969,60193935711/30664297)
(-13094135/956484,36570260699/935441352)
(-20241983/2067844,167049318303/2973559672)
(152344081/29160000,10249198886521/157464000000)
(-14905799/119246400,83318555256301/1302170688000)
(39573307/329313609,382374153793513/5976054062523)
(-9513716687/700872676,740544606114921/18554903224424)
(18516233899/705168025,2789960945929857/18725736903875)
(17310955867/106440489,2278705166407943/1098146525013)
(-102245849807/6538986496,8704425211930071/528768604012544)
(501075919675/101761,354695189432361183/32461759)
(973549591939/37696940649,1068664138853104115/7319124905587893)
(-880081541261/56338345449,224546604471501515/13372300660738293)
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(14275877712385/540904353444,59643403423590853439/397814597592631128)
(20361254836339/1210675494249,125324808230371561525/1332114721050634443)
(-77393144263175/5852935072656,597744194490858740723/14159912174315498304)
(1396174441933105/56439699668496,58801428411121551622103/424010919558731115456)
(879441950116027/82717078681449,54746832541651616799433/752302979880359739957)
(46664364561731611/1108831725765625,10353550636361475723074391/36923126240235267578125)
(-292310259923253095/18543368625225444,33583727104520030489512189/2525125383819457369822872)
(424345520255757451/9887464201761441,283494017175746890782874535/983167210863551969925489)
(32576273309507267377/2055841191808558144,264845349345883611068959726377/2947707220889448440606454272)
(1164455523570696261283/4274116694739441,39736019300911184147852674796581/279427768866356159868489)
(3725789662729535310001/7998582735561616,227419395139448876297451922279785/715351615244075072390336)
#
# a = 4098:
#
(-17/9,1727/27)
(367,7031)
(1/16,4097/64)
(481/100,64879/1000)
(2929/4,158519/8)
(4303,282265)
(-2369/361,423673/6859)
(144271/78961,1421437943/22188041)
(650143/95481,1960093945/29503629)
(-926927/110224,2165968087/36594368)
(5502943/1934881,172775819185/2691419471)
(268467151/2134521,4403353226977/3118535181)
(-69807791/14424804,3458283037849/54785405592)
(-102203903/21958596,6505537361599/102897980856)
(851416609/3873024,24848313824591/7622111232)
(499818817/57638464,30159146141665/437591218688)
(-359740079/93818596,57771189563033/908726920856)
(406375633/107371044,71691999540263/1112578757928)
(1061097007/526656601,774480021527279/12086242336349)
(18129094993/197739844,2447461436107417/2780617686328)
(-134283263/1074266176,2253999038103551/35210148184576)
(-14078473487/1136633796,1796480348028425/38320471798344)
(51753501601/5291689536,27310261618658033/384938663606784)
(432824424943/204004089,284752623614763887/2913790403187)
(-716306902899377/106230270535249,67417559443410304280137/1094894895964598139943)
(2908184235565999/552234765625,156831349680369816222193/410379460205078125)
(3685328624535697/259196282981476,348444249095418398149511/4172949738385213491224)
(616346509655796049/692272256841000000,36875571605593824329043858343/575990593587160389000000000)
(1704278879427112708591/3339985842770724225,70358681242802635988673001170889/6104033928874212164229693375)
#
# a = 4112:
#
(-8,60)
(8,68)
(-16,4)
(64,516)
(88,828)
(17,95)
(73,627)
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#
# a = 4145:
#
(-16,7)
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#
# a = 4159:
#
(-15,28)
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#
# a = 4171:
#
(9,70)
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#
# a = 4217:
#
(2,65)
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#
# a = 4279:
#
(-35/9,1754/27)
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(97/9,2008/27)
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#
# a = 4294:
#
(11,75)
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#
# a = 4312:
#
(14,84)
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#
# a = 4329:
#
(-12,51)
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(32054800013466476964225/1805779588951885713664,7643777642485852158711047790851649/76735638248295893012434069516288)
#
# a = 4355:
#
(1,66)
(181,2436)
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(-311/36,13157/216)
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#
# a = 4364:
#
(-2,66)
(-10,58)
(13,81)
(5,67)
(358,6774)
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(-146/49,22590/343)
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#
# a = 4511:
#
(29,170)
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(737,20008)
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#
# a = 4597:
#
(3,68)
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#
# a = 4684:
#
(6,70)
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#
# a = 4698:
#
(-9,63)
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(-736391/44944,164878669/9528128)
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(-5526297/332929,2143525257/192100033)
(-2330937/896809,58102302033/849278123)
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(161076609/200704,2044328535999/89915392)
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(-468401967/35904064,10708623786393/215137151488)
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(-399558231/55383364,27097974644139/412162994888)
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(11837674377/27331984,1287988960882725/142891612352)
(-32075902143/7410799396,43348444434582561/637966076804056)
(46627467439/1704286089,11163782383872859/70358042612187)
(280563374007/4406171641,149955503871014199/292477267357939)
(141828312679/27196225,53412685169566967/141828313375)
(283934118249/23417568784,288480631932276021/3583543715877952)
(776676903417/41287801636,893963042790499251/8389433565625384)
(-1063484489079/93000601600,1605036557941730469/28361463463936000)
(4852915568703/29929,10690649797935689757/5177717)
(5240965215969/91024096804,12144975746671275759/27462152053960408)
(-4425571160703/264243290116,58132402884333441/135833206310969336)
(5048303781969/314945440000,16595834062642228953/176747380928000000)
(9824709521943/105911844481,30885445074947301135/34468056579741121)
(1576394568529/99710692900,2928261374951860583/31485645497033000)
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(-2193571389743/243998457444,7595433352288795175/120525966035953128)
(-10818273024207/1089075913744,69299845137355355433/1136546554672273472)
(-10736261391231/1191608025664,81923587662095007039/1300768853679027712)
(6946553065159/161471367225,18840963872266272577/64884846848857875)
(283047586188777/4002712459684,4793527552734623487285/8008138758415665752)
(608363835330249/277899774244,15005317217573029504059/146498200790015528)
(-5499030145343/8080283797056,1574279567046705035231/22968885436970632704)
(1246292614135999/57330868041225,53113782241382074613443/434092993510763950875)
(99260122529022057/689732772919696,31297109120351698083303861/18114289038255566999744)
(-154110965530644801/9404265637701649,15723662787360726599365749/911984236945640568852857)
(-441520031383733529/32329362981935041,269586202300529916140138313/5812938403878330910815839)
(1667237785490078056791/415248688765757586601,583969451360466320837585368687863/8461793148135062297622007285099)
(11995139572634822333121/16538476976040100,1313735569176153940939352734620831/2126881381457478700601000)
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(2322739400926839454441825713/257413283942785414045058704,304406692800372980727649982173139791559913/4129965585037057146632856810690597491392)
#
# a = 4699:
#
(-7,66)
(41/16,4395/64)
(1545/4,60731/8)
(1825/9,77986/27)
(-1579/121,66240/1331)
(1701/25,70676/125)
(1913/196,205869/2744)
(1305/289,340066/4913)
(29505/1936,7731937/85184)
(-300727/17956,2706651/2406104)
(-1843/20449,200452188/2924207)
(405585/14884,286727111/1815848)
(-118475/47961,718848512/10503459)
(-3289423/222784,4045496727/105154048)
(-13550167/3076516,366527781621/5396209064)
(97162337/692224,958551823377/575930368)
(48533421/4060225,654863000156/8181353375)
(-163372175/14152644,2993317333271/53242246728)
(-701136039/137358400,108780472440541/1609840448000)
(4665453645/1745041,318669773353352/2305199161)
(6070639305/229764964,529827192750491/3482777324312)
(9690262485/136165561,960099212756312/1588915931309)
(4007687809/554602500,930568204518623/13060888875000)
(48295290077/2147673649,12617235125429628/99529639915607)
(101471888537/5445259264,42467565788804547/401816571609088)
(405957586313/81558961,258655073085326646/736558976791)
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(-58675867972455/3691947045136,185620723209269055037/7093869498194296384)
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(-1181229945321015/133685486315536,97870745455845241312763/1545704212038888222784)
(6054952316083665/3266881267463044,12808455839541850139265671/186723949993366384286072)
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(-3118752484584028951/190257883753958449,1423708384814240278688150910/82987750511755804729843543)
#
# a = 4721:
#
(-10,61)
(-16,25)
(62,493)
(-20/9,1853/27)
(113/4,1321/8)
(290,4939)
(-878/81,42803/729)
(2083/9,95086/27)
(4826/289,475765/4913)
(-4657/289,113816/4913)
(9337/1296,3330253/46656)
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(-2885/1521,4072834/59319)
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(-39031/2500,3782203/125000)
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(167456/625,68533729/15625)
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(3036815/43681,5329139056/9129329)
(5882876/289,14268704425/4913)
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(15769606/1096209,100700052085/1147730823)
(39492968/1203409,264243405071/1320139673)
(10163651/1729225,159565249226/2273930875)
(-18222668/3721041,487016022097/7177888089)
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(-5947912/4721929,704862214621/10260751717)
(-78121090/4959529,314873527313/11044871083)
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(-110090815/27920656,10070877202081/147532746304)
(-549786676/56625625,26286888053707/426107828125)
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(-9573493813010/583743368961,7851519263998539251/445998029930641791)
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(-49296642196710158351/3231720594409305636,198859788911476789140893745815/5809659891942512443284039384)
(75490642384300571512680905/4962113215112721007166464,1003504111070578105760125495786476273157/11053504778009489141999987943851917312)
#
# a = 4749:
#
(-5,68)
(97/4,1103/8)
(145/4,1831/8)
(-401/25,3118/125)
(-1097/81,34694/729)
(-431/144,118745/1728)
(5119/169,396310/2197)
(2347/289,357152/4913)
(22375/1089,4163534/35937)
(223633/256,105756089/4096)
(190585/18496,192280883/2515456)
(1343467/289,1557186088/4913)
(-19853/56169,917369092/13312053)
(1750465/19044,2323025729/2628072)
(11169673/99856,37393511899/31554496)
(-8512349/900601,53405577220/854670349)
(24135841/119716,118609495825/41421736)
(-134699183/8892324,946191521017/26516910168)
(-147325055/19465744,5641838886721/85882862528)
(91650115/27342441,9891729752752/142973623989)
(89484865/53640976,27086835413857/392866508224)
(1919983015/13905441,84204923543002/51853389489)
(2005558579/149940025,155162965157392/1836015606125)
(-2329026671/193488100,147536517885017/2691419471000)
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(263900586601/972192400,135585137154785099/30312959032000)
(753685604911/26242380025,716902838658259034/4251134352149875)
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(23597178821065/389990258064,115850021722381848059/243545796238903488)
(33536915491195/213931225729,194335519689349165444/98948968042757183)
(48928657428289/8121816014400,1631378734147437581087/23146201023118272000)
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(242165436491693881099/8962080815045106225,4197620736345799434797975083868/26829543527186107283888819625)
#
# a = 4825:
#
(-4,69)
(-16,27)
(14,87)
(6,71)
(-9,64)
(84,773)
(194,2703)
(129/4,1567/8)
(-49/25,8676/125)
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(411/25,12034/125)
(2594/49,134247/343)
(3611/121,235866/1331)
(5921/16,455631/64)
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(-19134/1225,1365461/42875)
(-14189/1089,1837034/35937)
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(-30871/2500,6780117/125000)
(-56806/5329,23385447/389017)
(-57576/5041,20669293/357911)
(-145994/8649,3158371/804357)
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(-191484/17689,140302961/2352637)
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(-1607869/96721,457193946/30080231)
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(-134572652719/16484505664,138478938482466471/2116478651212288)
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(-858766211164/50829957025,18384047771232459/11459867961071375)
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(-268996492034/55018862721,885506211390909961/12905279458700481)
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(-581810561622501/36536645148025,6195832138440397089818/220847761112720253875)
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(-434029125004126/632824688184049,1105755884360001656572743/15919342285730753932343)
(-76720898836270956/4594021172665681,4028736522230946764263747/311379121212532279626329)
(-98150090415666079/6356309699755024,17134596496291643449192431/506766121875608528775232)
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#
# a = 4844:
#
(-10,62)
(-55/4,379/8)
(22/9,1882/27)
(974/25,31618/125)
(389/49,25075/343)
(1598/121,112526/1331)
(1913/16,83789/64)
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(-304944050/1695874761,4860628978851442/69837818532741)
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(239747328279565/1096755602121,3713054640191696438353/1148589368632840581)
(-574873525025323/36732605712049,7077987290860184947067/222626882941060992407)
(-5104771652722439/735382127484900,1339164839259402472823309/19942041056386594257000)
(958196229754446526/77392335062858841,1767817966318513175549666350/21530143549105966380191139)
(5874831757242852569/22832702892403600,14241472415368156473675787747/3450134200594472433784000)
(358663706083099962296158/19530976196186361,214798452217098066739029830048787374/2729517770178229282964109)
#
# a = 4886:
#
(-5,69)
(25/4,573/8)
(155,1931)
(-4877/289,44001/4913)
(-269/225,235871/3375)
(-10247/784,1130739/21952)
(8219/361,886045/6859)
(22961/484,3557975/10648)
(21785/2116,7525309/97336)
(-93239/6400,21685509/512000)
(175673/2704,74283539/140608)
(2970067/12321,5119471153/1367631)
(4251433/128164,9334314261/45882712)
(7081579/354025,23915066517/210644875)
(3952547/219961,10665253633/103161709)
(-6905575/583696,25344673789/445943744)
(6661033/842724,56742950699/773620632)
(37138243/2229049,324556960911/3327970157)
(-33763271/3147076,337346401965/5582912824)
(245271385/183184,3841234025763/78402752)
(233809843/1968409,3580357178649/2761677827)
(351658393/8111104,6789305265219/23100424192)
(571141985/14915044,14230951096657/57601899928)
(-167658221/60078001,32477447877855/465664585751)
(1598886739/123854641,115630870187265/1378378299689)
(11385256115/416690569,1352518836233207/8505904584997)
(46826380729/11723259076,89302411757244435/1269324153194824)
(-1299457446901/77706580081,313595288420807245/21661408556799479)
(23328022710659/82595886025,112684447921360727327/23737644664154875)
(9223241519137/1877075364096,181931828129012182607/2571713381634822144)
(304048868388169/39658332736,5301699269642124550725/7897719014377984)
(-259860617401285/29929969947241,10651410989946770743309/163741747556494532789)
(-170452333183445/80931560462809,50843800564061871428763/728076261440840937373)
(1617624286894795/102877669836769,97739012148226869547107/1043474110913580329647)
(22671001953846425/445510852408384,3476256229915287391320637/9403454587172869361152)
(2605819874513353/2416514076434704,8304556518947507201998341/118791124628109153836608)
(2269001152037013726019/3119314854541251961,108082363033406924491490122046385/5509203567996821625470017459)
(13097790794823340854889/30355028477211652900,1499029848918178247467962681554037/167242236614680140359985833000)
#
# a = 4901:
#
(-13,52)
(65/4,767/8)
(-1,70)
(91/9,2080/27)
(65/16,4511/64)
(767,21242)
(-871/100,65117/1000)
(1807/81,92222/729)
(3185/64,183287/512)
(545/16,13489/64)
(4225/36,275041/216)
(-575/36,6209/216)
(16601/100,2140099/1000)
(2963/49,163064/343)
(-4897/289,29414/4913)
(-20033/6561,37096462/531441)
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(367627/4761,224083808/328509)
(-221975/36864,484340363/7077888)
(1032551/11449,1052720890/1225043)
(145643/5929,64115836/456533)
(-859495/55696,460235581/13144256)
(-609973/63001,999293672/15813251)
(-58759/12100,92084461/1331000)
(39209/19600,192256427/2744000)
(3197545/12996,5718688469/1481544)
(-2161393/130321,866169902/47045881)
(331145/68644,1273398203/17984728)
(563419/95481,2108316140/29503629)
(2606603/4489,4208407364/300763)
(20926451/66049,95736342260/16974593)
(-11548199/810000,32626892701/729000000)
(8190247/881721,62521443478/827936019)
(-14984879/921600,21713873831/884736000)
(19753409/1345600,140173116577/1560896000)
(4852865/252004,13882395233/126506008)
(94474991/1697809,931248852950/2212245127)
(29838899/22801,162995144200/3442951)
(-61662055/7706176,1417181852099/21392344576)
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(-352450189/30991489,10104637765300/172529619263)
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(3044272751/116488849,189631660918570/1257264147257)
(-135477917/35605089,14789578785184/212455566063)
(-1280158135/76177984,8285085869627/664881444352)
(-670998455/99321156,67080220381979/989834640696)
(19844518369/16160400,2795512375337903/64964808000)
(-13493988469/794506969,29790234704360/22394767935203)
(-16107866255/1170871524,1920327697501993/40064881808232)
(256377667/1384509681,3606505740931652/51516220720329)
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(28205290385/638168644,4869513523355047/16121416284728)
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(745132797227/125193721,643206647490823312/1400792544269)
(1279984704167/3301766521,1448189638499109818/189722806063181)
(415203661145/50888141056,847014057668230621/11479550411976704)
(699048065/11644999744,87973442315618497/1256635212374528)
(-188276649817/18182634649,150955193375195006/2451801003975107)
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(-7663186230677/531830357289,16947437304877157044/387846329169077163)
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(240740085542905/6996653316,3735275298022483296211/585242063270136)
(183587980965649/4844180902500,2597087956908572149607/10661799957357375000)
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(-144513092755993/10668709157401,1712717128063425770962/34847194052109728899)
(63409646995865/5211614146816,974014376957067542461/11897573089309659136)
(1542625286980049/28645081452100,61531858294774623209657/153311626890598931000)
(575589511115363/72803505055009,45627980326144290047176/621195688471349127473)
(5209520896819625/1000152005776,376007652870148413086699/1000228017328438976)
(-47143745200438615/4073715895646224,15051529847435782124083093/260007638281838538477632)
(108334400721499081/818283784035600,35695026844069726950612229/23407547709635801496000)
(2437464185392357927/34647508049604921,3832151443049370806944796438/6449232093463169172720531)
(-1284326425854041701/78490354578012601,501428150988770294489559260/21989959854527316290553901)
(-30281932599556536167009/1788214620930449283009,506435719012940655977649860493010/75618744451193104499724833679777)
(4093283336366916446561/410410121150769216400,638262730719500059223589260008559/8314326854924922266068999288000)
(-512185312365125702060837951/56234036440011842675122500,27150815003402679876149595304049133201343/421695422692498347205107438747925875000)
(20034092488766451613797683039/534718187151006484842228961,2964841881927403268854844196846343084325770/12364809614230731315520684340856437631791)
(792726871840321798883596259609/2423054703057557095142560000,705855430004231138347246705371252720340811773/119273737520265119285993395400659904000000)
#
# a = 4929:
#
(10,77)
(16,95)
(-17,4)
(382/9,7703/27)
(289/4,4945/8)
(-44/25,8771/125)
(7162/9,606113/27)
(7270/49,620339/343)
(-1925/289,334426/4913)
(-3485/441,616778/9261)
(10432/729,1744957/19683)
(9370/1089,2681101/35937)
(-59828/5329,23060327/389017)
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(-96080/5929,11847541/456533)
(-46058/6889,38907383/571787)
(-141344/9025,28275071/857375)
(-34940/11449,85758061/1225043)
(-151364/12321,75837745/1367631)
(606622/16129,493874923/2048383)
(753865/64,654546299/512)
(12565465/459684,49626140221/311665752)
(3762763/1168561,88986138286/1263214441)
(-37775018/4765489,692482147987/10403062487)
(155184700/2493241,1952842998253/3936827539)
(138523633/2232036,1647092039831/3334661784)
(60040633/12503296,3138631799341/44211654656)
(342545953/4024036,6365119125551/8072216216)
(295873015/12313081,5924734675492/43206601229)
(586240270/13845841,14647899742547/51520374361)
(925705330/1151329,28165094039309/1235376017)
(2316184486/19316025,111629667215359/84893929875)
(3585808906/2468041,214724233583905/3877292411)
(12967295110/68873401,1477183341732223/571580354899)
(683811619/355435609,470797654753310/6701027536477)
(5963627674/520980625,953457246145093/11891382765625)
(6246423169/391248400,734112956655553/7738893352000)
(-2499125228/825815169,1661419335799297/23731450511553)
(6778312024/1923261025,5947806834601393/84344612251375)
(29850801241/1214522500,5952265497825539/42326109125000)
(-105881225825/8455354209,42338606037867496/777495185580177)
(-264510393848/16313164729,53771247914483533/2083566338682067)
(2317960470370/4586133841,3529127327490658453/310577569846361)
(2342066894932/5094676129,3584346280652163407/363642698059633)
(-9605436621281/569954032209,5133761142813559340/430288506478281177)
(-19223535880946/1295897640625,60190276348179438467/1475217476646484375)
(78856605326620/923234644201,703020534074999395573/887090931115175051)
(100737632058376/3352561,1011084859650130106135/6138539191)
(719355535134883/4826936426841,19308054321948424997314/10604919310926055389)
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(2999245958209705/98419772614276,177984973535039085323723/976390479260359942024)
(-3489562325861381/382956132640225,484079354442718667136778/7494170043011712684625)
(9866859754894243/2182184809527321,7223562801211410445078574/101938277868570748896381)
(210099714970628386/142603362972225,96302714653102565611256509/1702921588487715254625)
(379850242325575975/14219115557308489,262635431284720426533406124/1695543262834951122647237)
(16442211394166840593/62194252842715536,66680409900500952332678417159/15510485152541448469377216)
(149568950140846626040/10428461089198958521,2989328785691637235538196820813/33676762764939066517345825069)
(-182058413629248425636/14843983733495137225,3176051462360434340967998331013/57190738506327613601057189125)
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#
# a = 4964:
#
(-4,70)
(8,74)
(140,1658)
(64/9,1970/27)
(-55/4,389/8)
(-35/9,1891/27)
(-76/25,8782/125)
(1492/9,57662/27)
(3812/169,281698/2197)
(4061/25,258941/125)
(27320,4515658)
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(-2563/529,847357/12167)
(-19600/1369,2281826/50653)
(31568/841,5866126/24389)
(-18647/1296,2078891/46656)
(26317/1089,4963627/35937)
(85409/4,24960625/8)
(-252380/15129,33375986/1860867)
(112685/5041,45461563/357911)
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(1588448,2001978934)
(1633412/11449,2089365842/1225043)
(-277988/88209,1839974122/26198073)
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(11694160/314721,41880283498/176558481)
(22903928/564001,113603461846/423564751)
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(23937820/1147041,145630793062/1228480911)
(-26599576/1923769,128536985090/2668267603)
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(188112833/2735716,2599668910559/4524874264)
(-286924712/20985561,4717577684834/96134854941)
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(-705413908/41770369,3279223806842/269961894847)
(-581816275/34492129,2598003180389/202572273617)
(713759981/51566761,32315704977035/370300910741)
(1892282941/13771521,82393740005885/51106114431)
(-1177561687/90174016,44798656404971/856292455936)
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(-1446485564/291897225,347033399933566/4987064089125)
(-5093665036/309936025,125034756741938/5456423720125)
(1014752305/128731716,107864404904663/1460590049736)
(-9720530644/581726161,242340184843670/14030653277159)
(8986938892/602358849,1345641337500218/14783693231007)
(-11452433620/2418967489,8292173355034054/118972078011487)
(-291281613416/29765565729,325878247041425110/5135363758527183)
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(-9473768089364/4560484109841,685551044680318742230/9739046070604640889)
(-222956056253167/24750784200256,8011426692733006136569/123135547408820804096)
(2572165878925904/42341140098049,131887652239720658768330/275514095005985529343)
(2232172201433801/69829420960000,113191165806856474659451/583522573310144000000)
(-11121558554928478152760/890080046167253792929,1457667742047578781960366307219286/26554834415139673710978498448783)
#
# a = 4975:
#
(-15,40)
(45,310)
(-39/4,509/8)
(-71/9,1808/27)
(145/36,15335/216)
(2385/64,121945/512)
(-3135/196,81535/2744)
(4941,347314)
(15945/64,2013755/512)
(25905/256,4179415/4096)
(15825/1156,3412985/39304)
(182725/441,78110990/9261)
(209725/1521,96136210/59319)
(38965/9801,68869610/970299)
(92385/15376,137381585/1906624)
(93621/4489,35645594/300763)
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(-1720895/125316,2166628735/44361864)
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(1279785/635209,35737829780/506261573)
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(-21475935/1270129,16993260320/1431435383)
(54131241/1196836,408832321739/1309338584)
(101654241/4145296,1185253128239/8439822656)
(-23763455/22410756,7482199075615/106092518904)
(593583945/5822569,14495742567220/14049858997)
(-54088119/11035684,2555022657829/36660542248)
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(-102886919/35390601,14813351908696/210538685349)
(-500884431/43573201,16908958186772/287626699801)
(-543097535/183548304,174939734193695/2486712422592)
(-1518601311/101042704,40374863222513/1015681260608)
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(-2951709639/495952900,762351048728141/11044871083000)
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(-5193799740195/530157278161,24519727045051285090/386017587217309159)
(-1715354730135/559652113801,29445118532165933140/418675186682414299)
(4750267165605/587474727961,33404891550778467410/450281167265539709)
(-15745074952055/943950208041,16767484612016970340/917114647576602411)
(41443072079145/208479907216,266879609833103820715/95191091715196736)
(62579587757745/12019613956,495049988227269758135/1317758356452104)
(68635957492245/869614065961,571496684381933375210/810942074544677291)
(-279357085075419/17441690505625,2143857360600385215854/72842168100904328125)
(1552871475347401/3804067961604,61195452356119924590949/7419461760448364808)
(17321440314053865/715469199041536,2649351819698784042176885/19137553296077959561216)
(119321473827340641/484504239262849,41224009144696514271997636/10664644228851912460993)
(-260235081563877497319/22815043920680083216,6438829902643904249404328228221/108976276220289880327302540736)
#
# a = 4977:
#
(-6,69)
(-12,57)
(4,71)
(22,125)
(72,615)
(-17,8)
(198,2787)
(459,9834)
(51/25,8826/125)
(561/64,38487/512)
(3126/25,174999/125)
(1842/169,173991/2197)
(6504/121,532869/1331)
(-3111/196,85821/2744)
(6273/196,533217/2744)
(5391/289,526128/4913)
(6672/529,1016751/12167)
(7498/81,651293/729)
(13848/361,1699923/6859)
(-3174/1225,3019449/42875)
(11974/441,1464121/9261)
(-16743/1156,1730595/39304)
(29793/1156,5842383/39304)
(10084/1521,4305601/59319)
(-67206/7921,46582509/704969)
(-39752/5041,23973697/357911)
(141423/9409,83511840/912673)
(-160424/15625,121889699/1953125)
(-643884/46225,473961039/9938375)
(666864/42025,816060237/8615125)
(13276/24025,262715851/3723875)
(1371276/4489,1605924867/300763)
(-397022/24649,109337705/3869893)
(606958/16641,496525427/2146689)
(760393/256,663066683/4096)
(-4136928/249001,2457028365/124251499)
(-1062/326041,13133852817/186169411)
(-4584642/339889,9952896885/198155287)
(8585028/196249,25891259115/86938307)
(12518514/2401,44292396261/117649)
(-1027631/226576,7536946969/107850176)
(-11901018/717409,12332109651/607645423)
(12726016/7569,45398230417/658503)
(20254194/1452025,153445727247/1749690125)
(42474168/863041,282533332857/801765089)
(10069593/1658944,154090474845/2136719872)
(35046496/64009,207478685987/16194277)
(86326164/93025,802075068087/28372625)
(60865827/48841,474854818530/10793861)
(-2027157/3690241,500102104818/7088952961)
(-93291474/6165289,595318304433/15308412587)
(-123315372/12609601,2846652389223/44776693151)
(61356523/3690241,693609845678/7088952961)
(-22838394/16297369,4640234902647/65792478653)
(136790959/2961841,1639791650764/5097328361)
(163129807/2692881,2106725235740/4419017721)
(94386601/9180900,2166175585099/27818127000)
(311465758/10686361,6024062811943/34933714109)
(-133111709/12866569,2871001787842/46152383003)
(-252174438/73290721,44083165434645/627441862481)
(765377281/8168164,21238459335073/23344612712)
(3709445874/3845521,225925244961261/7541066681)
(1739966986/26061025,73183449577141/133041532625)
(453756843/97792321,68905888178898/967068262369)
(4460866932/935089,297940067999841/904231063)
(4929800913/42981136,346704235622247/281784327616)
(-3524623311/865536400,1784207707348137/25464080888000)
(-11112030849/962550625,1751125142857476/29863133140625)
(55564424556/317302969,13103774072944197/5652117786797)
(16490320281/1419179584,4325519877888957/53463333288448)
(23045230534/1291755481,4792355424696169/46426983742621)
(-28565089538/2172212449,5263474344162301/101240305610543)
(197531914206/2562080689,88267624346189877/129684838235113)
(91374392082/11289700009,89020162130468199/1199564495056277)
(460240878504/4549637401,312981937248756021/306877592334851)
(225725023843/16999205161,189603967734486262/2216373368096341)
(1160760464151/3716731225,1250689166040150024/226590519132125)
(-785078464574/52972244649,505881064452766393/12191932911679893)
(3740851196196/65645101369,7331934246041639877/16819128357055597)
(3007448483967/52268476129,5283210214993312596/11949775818040367)
(5866118669826/651525625,14207781452104158801/16630191578125)
(-302485715783/154571640336,4284018371733165395/60770767827940416)
(11351232312996/329307265609,40501186539530603613/188973962291521477)
(-9513642824832/568457189521,7291597794958000623/428594551068442681)
(8016209946126/924472635025,66689185018816708251/888875816213362375)
(-13763686874502/2665836642121,302792313772071500217/4352615453219999419)
(-481825690043967/35554793030656,10575409182745811944287/212005551006507106304)
(1040040628663824/49438631250121,41549978682325258708611/347615919802357032581)
(3456973051311438/31513369460329,203639086296625321127505/176905877331951319733)
(41455871896476738/34593936118921,8440724170374526120485513/203469804907149007781)
(-5083177200826472/945349783464681,2018280515289402580912403/29066235876637936418421)
(82753771544758302/1284307692529,23805740443897212933022869/1455471231635417417)
(123156792337515801/1538743407312400,43429543710936668455767549/60360010664830198568000)
(129358801025539089/1293235955328100,46641354688858661929833063/46506821198767447679000)
#
# a = 4994:
#
(-17,9)
(23,131)
(25/4,579/8)
(185/4,2579/8)
(-215/16,3243/64)
(311,5485)
(-569/121,93075/1331)
(1321/400,567381/8000)
(-953/529,859317/12167)
(17471/961,3124895/29791)
(42967/2809,13784517/148877)
(60383/361,14845801/6859)
(84745/36,24670117/216)
(-102695/6724,20860509/551368)
(-12953/8649,56823373/804357)
(530479/4489,386953185/300763)
(240505/20736,241740467/2985984)
(1149241/25600,1265563539/4096000)
(370561/44100,692242559/9261000)
(-639055/68644,1163755561/17984728)
(3868385/61504,7684396079/15252992)
(-7059175/595984,26559665149/460099648)
(24093865/702244,125364677589/588480472)
(-44108951/3648100,395785887093/6967871000)
(63282209/1795600,531351374927/2406104000)
(138960583/1121481,1640237482979/1187648379)
(-173484497/26946481,9617286073209/139879182871)
(-141948017/32251041,12832182318169/183153661839)
(1468855831/125193721,113879045083995/1400792544269)
(-3081575351/276556900,276352348069893/4599141247000)
(4146675545/74787904,270907302238429/646765793792)
(6633535087/31775769,540426588344207/179120009853)
(8696988007/446772769,1050322165701867/9443436018353)
(9342526769/120340900,907824510965353/1320139673000)
(11502470303/14984641,1233641806316401/58005545311)
(10784753743/608164921,1541988396198879/14997955116781)
(23533185289/29268100,3610132630691163/158340421000)
(199506621367/593750689,89117820022071693/14467923038863)
(412958108863/2103047881,265461888579068199/96443672774779)
(3681486826345/45631795456,7097251466661963723/9747681618128896)
(-3021651909953/448761990609,20585038296452528593/300624311222997273)
(-5938114181215/434932336036,14194846614529997617/286835266021725784)
(4486351630121/465874502500,24397878965830802581/317982641681375000)
(94777966372248025/295923804334096,29180591064244679634640797/5090610304933809057856)
(84169751388996887/807648484590649,24473159430971612287463653/22952689084393734662893)
(366105235393533145/45298131072947776,716417035770798020803230237/9640963222372192027326976)
(-526309886112146671/37536539917380100,344001622633619310740786233/7272460246117532230549000)
(-943103126435430865031/71355167397777464100,31233455509119145352035896754547/602751283702753243434788439000)
(537398034434135366328768985/19060455052412381761924,12457879061295196660237646593521688417059/2631478931528084131800533955960968)
#
# a = 5042:
#
(-1,71)
(257/4,4159/8)
(1519/81,78641/729)
(1193/484,757205/10648)
(15127/9,1860499/27)
(-13393/841,772505/24389)
(40337/20164,203474951/2863288)
(1270967/12769,1436510629/1442897)
(-1769191/126736,2173945859/45118016)
(2797369/112896,5398629011/37933056)
(-457417/312481,12399429797/174676879)
(-2108359/473344,22920659693/325660672)
(11855639/265225,41957743213/136590875)
(-9131599/640000,23670268649/512000000)
(182231497/13003236,4139704073915/46889669016)
(940102513/39388176,33748510788233/247200192576)
(3815316631/211266225,321063706074779/3070754580375)
(-22112648791/1301333476,546801194912939/46944303813224)
(-818123749121/72742944681,1180332323154633169/19619426866967829)
(4067222427961/43401744,8202512210828128147/285930689472)
(8202077452927/3660371001,23490155752062922945/221456105931501)
(6483467514359/360894555025,22572823672800468523/216805599458493625)
(985048820332121/14423497517584,31159956425292567958877/54777962730211007552)
(318470906603519/53446787754361,28321058472880042163519/390735088086227347891)
(-3659716922060969/337308303062025,380111564132699201691571/6194989115163513358875)
(52360952504536753/124612435044036,11981910315653512071403177/1391047864721963603784)
(124376040265873737137/3812954933369503744,1484428015308880008685280461591/7445476690796995064813846528)
(215369964408939162521/16815210749343326464,5827698744895717482770957435203/68953048591739457246781837312)
(-13336451445559606413247/3339324203285192855056,13615336324004514714157069213693343/192969147332785498079091795440704)
(3456690931732515834512879/573802686072568931609761,31525531338209395547408455961938645471/434654184868744365314989601818321009)
#
# a = 5178:
#
(31,187)
(-23/4,565/8)
(-137/9,1097/27)
(57367/2401,16138879/117649)
(-40559/5776,30513593/438976)
(194743/961,85966225/29791)
(337993/24964,345209083/3944312)
(-392849/27225,209426149/4492125)
(366649/43264,684547859/8998912)
(-360623/139876,3758166169/52313624)
(18480031/116281,79493931533/39651821)
(38151727/1771561,290381061899/2357947691)
(94607257/1089936,923845150531/1137893184)
(61255969/5107600,959058154703/11543176000)
(420354217/34596,8618329883861/6434856)
(102322639/23571025,8299511367037/114437326375)
(4489414513/43322724,301503680862263/285150169368)
(-2388362729/197711721,162463778609113/2780024508981)
(2615236321/264843076,337751923709167/4310056218824)
(-10390370399/614742436,284940769613263/15241923958184)
(38172217681/642318336,7549411850459047/16278915907584)
(147461976889/72795024,56626564359635821/621087144768)
(49710157954273/48670536996,350484462637833328145/10737401848835544)
(-17522631488519/13758906490000,3671725961836034319629/51035911843357000000)
(-64492931083697/36788749629129,16048243727429634050363/223137488704279050117)
(764899840366303/85137695086081,60356768895765451281125/785566278798525161729)
(-975162651723527/251372399953984,285164309435873707576973/3985441027977628836352)
(1360542189892663/941943680592201,2080869115026248118950615/28909288637366980703301)
(362604763508926187551/1356938539286948401,6905723319792130586601212361173/1580666561318951017572148649)
(56627460596091551071/20582127592465374441,6732681183246436565232374808643/93376028669275385449557209739)
#
# a = 5302:
#
(3,73)
(59,459)
(113/4,1335/8)
(257/4,4161/8)
(-349/25,6351/125)
(603/49,29035/343)
(969/256,299771/4096)
(-11359/784,1043727/21952)
(34659,6452441)
(39121/144,7738777/1728)
(-19839/1444,2855807/54872)
(63683/2401,18211383/117649)
(-177781/10201,3036219/1030301)
(549723/1681,407613707/68921)
(-127167/21316,222025823/3112136)
(569537/44944,816140511/9528128)
(-271853/40401,574060015/8120601)
(1068313/93636,2360519747/28652616)
(-9203167/1308736,105382241457/1497193984)
(81373139/390625,734258404287/244140625)
(-15967239/3168400,405670773491/5639752000)
(10398457/4691556,740697186995/10161910296)
(-97061813/6796449,866076891949/17718342543)
(240675587/7991929,4080133147359/22593183283)
(793423051/11923209,22549121503253/41170840677)
(407201337/30780304,14904250127891/170769126592)
(-4855272549/368832025,389320335321949/7083419040125)
(16267712081/299290000,2108839070112729/5177717000000)
(-13902896191/797497600,43948823446623/22521332224000)
(-12840371359/958397764,1596986017161903/29670077977912)
(27348359289/448168900,4575150766621837/9487735613000)
(133896525849/603488356,49007139079342141/14825294953496)
(151746549179/12897917761,121944678217022901/1464803622199009)
(284295190721/10855972864,172514295716346657/1131105524645888)
(873638985521/3568628644,816726156156390423/213182737935272)
(1344564966827/19148747641,1570988756123434155/2649784549813939)
(1915374512483/7558737481,2651253796324852737/657164195335621)
(9104498492081/50747473984,27484214247426229143/11431984959323648)
(13788053080619/63696361,51198167870454021189/508360657141)
(9574979715811/36524943225,29632663655662002191/6980464524445875)
(98413342012627/3396070322649,1077413379763451803559/6258424421601451107)
(-154566590065813/19857816476521,6150208388992107519195/88490620218654121931)
(3183014080755521/180038976100,179579947368556809550431/76392337948991000)
(13322707656803187/179498660039521,1547698766904249986039345/2404871172096750936431)
(-2326722596647647623/353912170811211684,14914273182347911343088249971/210544182972810291265699752)
(876547228303084895195521/29864426778191335730724,902609508727162063254264073709960447/5160969290562566584769567973646632)
(765858441643448365859329/53255774152406203560900,1118049655458867328090735368542097983/12289948224524300835909849580227000)
(16760055710930130557141065723/1181427014736978151364632809,3667545426168647750680751782674572864454845/40607882702977601351287495469494340672373)
#
# a = 5356:
#
(-10,66)
(14,90)
(-3,73)
(81/4,935/8)
(153/4,1981/8)
(-394/25,4746/125)
(445/9,9593/27)
(-898/121,93618/1331)
(3182/121,204222/1331)
(3045/121,194221/1331)
(5625/16,421901/64)
(19958/49,2819634/343)
(-3899/225,41651/3375)
(23390/289,3595242/4913)
(26534/25,4322202/125)
(79382/841,22436838/24389)
(4629/961,2202875/29791)
(-13155/961,1573831/29791)
(123470/11449,99600162/1225043)
(-29735/5184,26830493/373248)
(-524482/37249,364055574/7189057)
(1332230/9409,1539140082/912673)
(475413/169,327798251/2197)
(128625/21316,232385399/3112136)
(-351467/33489,397172699/6128487)
(-973023/55696,64275407/13144256)
(1318862/241081,8794337118/118370771)
(18316190/502681,82614129714/356400829)
(-3276010/1338649,113194499562/1548816893)
(10596309/1190281,101103309685/1298596571)
(8724902/5851561,1036244507862/14154926059)
(-44896151/2903616,201546913355/4947761664)
(-6356375/3526884,484473000907/6623488152)
(4040414/12967201,3417361125270/46694890801)
(145002153/2598544,1772777424491/4188852928)
(382967534/18105025,9378366218298/77036881375)
(211953117/1104601,3086912168137/1160935651)
(934267454/3115225,28559456802642/5498372125)
(-179077311/13987600,2985812006113/52313624000)
(470722214/49688401,27592811716770/350253538649)
(-10583031/43692100,21136062596453/288804781000)
(579320270/215238241,231520002114426/3157760233711)
(128413665/62789776,36441832649041/497546185024)
(5105468222/86508601,369520850164302/804616497901)
(1999175109/15642025,89501976335773/61864208875)
(5909164550/179372449,487081272449838/2402335209457)
(1143572473/112402404,95402880030349/1191690287208)
(4095744097/26378496,262306892642833/135479955456)
(-9609152602/588402049,451472492759406/14272868502593)
(8721830737/100520676,817870804715303/1007820297576)
(158639949686/2271049,63185706405036870/3422470843)
(25313795185/3312923364,14524791159323017/190685242985112)
(57841794921/3937562500,22814492550355531/247082046875000)
(313397759294/10839100321,193912128736039050/1128469573519631)
(-376068682090/21588131041,26470728755365374/3171922505723089)
(477885644965/29457886689,496034463264490333/5055945466093137)
(-540636591927/37245912064,344559577690891909/7188163061055488)
(591284769981/44367103225,821269976032103129/9345264787797875)
(-965421035355/140180601649,3722096977891597187/52484598521597143)
(-55938072710074/3247935653209,92072094427569119430/5853439378020219427)
(-255524564694370/40826489772721,18649134070392743170746/260863346818676965481)
(-145168942641135/18257349671044,5434695521046840944377/78011135630116407928)
(2107390429370630/39967544916121,98494010863570273364154/252674379316722884669)
(2577830171498078/15126988971649,130953267208278577712586/58834048667960236607)
(278920807152373/85909040676369,58460388360071519035189/796266242134590143097)
(125326647936955310/5240762809830769,52339496428649368135827798/379395134298276371093897)
(-162407006751707962/31288489662067729,399716395098928393332412866/5534480982908902153858183)
(-526903792442525394677986913494331/44233469320614814657680527412225,17811899155453252276613424789368947171885282296947/294189050758152744334232622251188762894744154625)
#
# a = 5383:
#
(-31/4,561/8)
(197,2766)
(-143/9,1000/27)
(393/4,7813/8)
(449/64,38751/512)
(-171/49,25066/343)
(28529/25,4818708/125)
(206537/6241,100592736/493039)
(21681/8281,55380788/753571)
(326873/27889,389477712/4657463)
(-780463/44944,115322535/9528128)
(3448253/85849,6663869862/25153757)
(-5029251/344569,9644241986/202262003)
(347761/396900,18346827241/250047000)
(6607693/335241,22165637390/194104539)
(-15410671/917764,22390343079/879217912)
(9595833/559504,42736584493/418508992)
(-19753543/1507984,103688916435/1851804352)
(166406097/3400336,2195355457511/6270219584)
(208008777/7474756,3353826214619/20435982904)
(516551529/44182609,24537878520364/293681802023)
(4907454409/36000000,344148089628923/216000000000)
(8925299937/15476356,843218882951759/60883984504)
(-3760008859/1085373025,2613347207553186/35757614308625)
(22771347873/976687504,4101580110395377/30523437875008)
(636750073997/10876612681,514875810870287826/1134332813114171)
(624598205653/10697971761,500260664107233910/1106501917211991)
(867215683737/123147653776,3271905523799688131/43215467253689024)
(17459944814489/750385597504,87161436929193572541/650020023066644992)
(100375703407641/1339461337201,1012052343311931265352/1550226918070914551)
(-3390304975673031/2687821799458849,10221907050231803281979324/139347989750257055537743)
(-361474972636587767/20919410214722721,45259292651086903210560640/3025688080027505015109519)
(16158372911529560743101271237/82425173101657119616179969,2054714755115914288605845133815537247933710/748324220254174173132520269192113336703)
#
# a = 5397:
#
(-17,22)
(79,706)
(-719/64,32297/512)
(-647/144,125875/1728)
(30697/2704,11645941/140608)
(217207/4761,104067370/328509)
(817513/1936,739192523/85184)
(741703/72361,1566173678/19465109)
(1569031/81225,2599016554/23149125)
(151369/234256,8329580869/113379904)
(-2452271/379456,16736997479/233744896)
(33493807/136161,193876643150/50243409)
(35539177/1993744,296073064309/2815166528)
(123320479/3243601,1435140137894/5841725401)
(-38583401/7027801,1347544654114/18630700451)
(162693199/33350625,14300575729082/192599859375)
(2713916137/65221776,146582028979595/526731062976)
(1808259007/144552529,149044352411326/1737955056167)
(7605338353/9339136,663254156311753/28540399616)
(8994338929/100320256,856197549483529/1004807684096)
(30034944529/1437926400,6568127410888583/54526169088000)
(12426640657/3218065984,13482582918947591/182554447140352)
(89225286679/3589088281,30981538868833454/215018689826429)
(343767921799/3358086601,202063418524152086/194597760441349)
(-253394321801/14533508025,17252362646675918/1752087059953875)
(-9432632121569/723222680625,34674570153152135954/615046648170515625)
(3407536827319/2079303436441,220358609902375306214/2998311889975756739)
(83588314328929/9126441000000,2164857812861295356783/27570978261000000000)
(-196817839499993/16290353449161,3963254281980939359630/65750000557115636091)
(-2250633012618959/130389906945600,23748203013288132098089/1488901485026695104000)
(585799059870481/221170673188864,242054871734259889743353/3289207786895533146112)
(-5452193250038735063/423461605329004176,15739986369846036711389141845/275563098465593919291216576)
(1213776296726837060809/206246853245564643600,221670006919754176168548249759877/2961972327149778974172627816000)
(22885346631765751437729779235455599/414459648119743583184202473648225,3517127752457342354626612042773973869448507958903618/8437686415705956933777825418466942311903015035375)
(-259868981260758913704528676349707799/27281673855005562082738718788410000,303379591869400209941741774251357435024148314809746699/4506159076414651465846880703608328280949782611000000)
#
# a = 5461:
#
(15,94)
(-89/9,1810/27)
(-63/16,4703/64)
(-605/81,51776/729)
(4641/100,324689/1000)
(6291/529,1028300/12167)
(117817/36,40440077/216)
(115257/3136,41225197/175616)
(685047/10201,572085878/1030301)
(-214815/33124,434234767/6028568)
(-604695/35344,141427957/6644672)
(-1319703/75076,111598997/20570824)
(1734937/86436,2957832163/25412184)
(14162235/121801,53388873356/42508549)
(66755187/39601,545415872908/7880599)
(419613375/734449,8595682046042/629422793)
(-146187951/107536900,82389608526343/1115157653000)
(2897263369/117939600,182424906408347/1280824056000)
(1288187014681/17691128064,1472374867914131075/2353061561536512)
(544340995401/50642101444,933035454152641435/11396397224754872)
(-3195045820425/190463289241,2261774965990888166/83122179153846461)
(14180618917465/868564353024,80186606058109995683/809474182959071232)
(557351328625/1521576524484,138700728233750940713/1876898117634552648)
(-39120048881138151/2237460283240000,1140827301599623616549507/105835898825761832000000)
(238428603265548609/617219864088100,116428178421477131335505023/15334154753616988471000)
(693121703598957297/3239197021635136,577211862821674122401916983/184355477894308918736384)
(188463004729824981164745/13354425002734088190736,140356711033947621103243172688607621/1543255346480605215111580477294016)
(24721556745411029831083999755/17879989676457960222336029881,176722586669132882503061505034675096162172524/2390842104964270087236749925066315303738029)
(1461247965926051003608104551539/34600611543959013892575516225,1829300251655368764876575964487708199968875712/6436142663639293208554592242850031122294625)
#
# a = 5477:
#
(-1,74)
(179,2396)
(247/9,4366/27)
(-271/16,1591/64)
(-1159/100,62611/1000)
(3337/324,472699/5832)
(-3397/361,467408/6859)
(5273/484,876125/10648)
(172937/4096,74487845/262144)
(301241/3844,166275533/238328)
(407591/7225,264156986/614125)
(43817/21904,240089771/3241792)
(-425141/27225,183519352/4492125)
(5638681/19044,13390972003/2628072)
(14940307/91809,57784995676/27818127)
(15416539/1121481,106721131024/1187648379)
(58696643/3418801,648911551228/6321363049)
(-119417413/13402921,3388789935880/49068093781)
(292577807/40844881,19956382923310/261039634471)
(1018782617/22963264,33522122498749/110039961088)
(422329177/289136016,363955409419555/4916468816064)
(-4167542327/686230416,1302893826478597/17976491977536)
(-338743297/735548641,1476333906150562/19948814692561)
(54030041537/162001984,12559866084923231/2061961252352)
(233232184489/10754519616,139641810930516331/1115286702257664)
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(-1357825938983/343581200964,14820212977995714749/201392869594656312)
(10513533438127/4319249841,34089696358619755150/283865418800361)
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(-11579991726151/1754575756816,167425560344764856621/2324118065781500864)
(52587147844961/1568054928400,408095148456396942959/1963549742441048000)
(830155296730499/331452366961,23918783648951689762156/190823425254419959)
(-643473070111121/71900750083761,42064261490233590961726/609677449183495619991)
(7135610383353593/315471024342016,731628958060639388489843/5603239860734814552064)
(-25422401642918431/1486063950250000,1242567664426856829315503/57287022250162375000000)
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(-866220818852943619969511212283245591/65067074932158624244755641132496400,926727307748997392068031376393353186044512707458278923/16597471264652215058296145288655008709547392955688000)
#
# a = 5497:
#
(12,85)
(24,139)
(-63/4,319/8)
(-158/9,251/27)
(771/49,33242/343)
(2812/9,149129/27)
(399/121,99004/1331)
(1818/289,372415/4913)
(4374/361,585059/6859)
(19374/25,2696693/125)
(54102/169,12585091/2197)
(-90602/6561,28439207/531441)
(-126744/7225,6096721/614125)
(78784/12321,103781861/1367631)
(-180912/19321,183647183/2685619)
(-51356/25281,297798731/4019679)
(-427301/27225,181399418/4492125)
(8725338/3721,25773504917/226981)
(5945527/314721,19532731040/176558481)
(55038546/697225,410594917531/582182875)
(5841801/1827904,183771682853/2471326208)
(66544414/1798281,571520771389/2411494821)
(85006047/727609,785094619144/620650477)
(82404441/1684804,765412097027/2186875592)
(104984727/49,1075695086444/343)
(84010843/1734489,788427294490/2284322013)
(133404946/5602689,1827824997473/13261564863)
(193064193/1628176,2686998148223/2077552576)
(1422111232/567009,53629089719941/426957777)
(1813572066/59243809,84308598866353/455999597873)
(1885506804/215531761,248477047751939/3164221783241)
(-1594522218/313962961,407514568739585/5563109705959)
(36251632761/2323432804,10797606947553133/111994108018408)
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(-228884679444/16487844025,112462524380328079/2117121612030125)
(180723832633/11389585284,118424605035823885/1215519320679048)
(-1055068498007/103882446864,2233374896762703595/33482143683842112)
(-3635587596423/216585990544,2792098480995775309/100796520967291072)
(15608985155272/200155127769,62024656944343544639/89546802147189603)
(167026228052592/1924543023841,2167681192634708012165/2669878121571118639)
(-31059215489463/4744067335744,746295580329497390651/10332996135175977472)
(-23060666016093/5468895613489,941738244351396286306/12789378808150130263)
(-13424490473202/10629158337121,2568807643527222585097/34653596547857031919)
(-66477211429769/10309397180625,2393616213186017980996/33101670202480265625)
(-479708851095504/40082257413025,15607434050761647212581/253762976206018991375)
(-2170823676513192/123568146086641,11901113387430985339357/1373598463644777839561)
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(-227358642490764/195712125781225,202967980076136683267609/2737956861723490100875)
(35218929614242344/181803828406225,6611931751734400965190547/2451345557181340569625)
(1610903456794186614/5281093862188225,2044778751933479037843809737/383783085006751894385375)
(-826037010639231551/191332695817764900,6159484760619326148679129793/83691969080534744254857000)
(2496334065816116080948519/87484018878037460261025,4385989925802642772596778415797708772/25875758455402991950494751571967375)
(-3931513855589178843884162/231340356699515736742521,2699905661658093437651546499950558117/111269747190939839201360022789189069)
#
# a = 5503:
#
(-3,74)
(33/4,623/8)
(177,2356)
(-279/16,907/64)
(793/36,27485/216)
(2829/49,152606/343)
(-4191/289,243344/4913)
(40957/1089,8706970/35937)
(-10391/2025,6676352/91125)
(128169/2809,47195764/148877)
(-107519/8100,41006879/729000)
(132153/21904,245234963/3241792)
(-367343/33489,396376120/6128487)
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(4957029/635209,39143683874/506261573)
(10110193/553536,44348140855/411830784)
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(-91792767/6210064,737887692863/15475479488)
(300539241/948676,5210619479957/924010424)
(973713993/22202944,31359675104197/104620272128)
(3184130001/122235136,205750791104537/1351431663616)
(-901542527/191434896,194612329374785/2648693221056)
(22270672113/4656964,3323533011441577/10049728312)
(56369144097/52649536,13383297576049871/382025033216)
(92651608801/184280625,28202580614999924/2501609484375)
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(-1233358044191/108781232400,2282010302523287377/35878226070168000)
(2295509566293/144440282809,5355271179393337762/54894962802408877)
(537957711406537/4447956249,12477345645121260905620/296647546114557)
(4762003119915657/68454045500416,331287794783675801056091/566367962440609857536)
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(-827551296754653235433687/52509209903700188562576,479561536493563023970707357689946965/12032426719141841958142187684245824)
#
# a = 5540:
#
(-4,74)
(-16,38)
(29,173)
(316/9,5966/27)
(164/25,9538/125)
(964/9,29998/27)
(-304/121,98926/1331)
(-2056/121,33518/1331)
(1649/64,77047/512)
(7201/36,611279/216)
(-3331/529,884963/12167)
(11096/1369,3947186/50653)
(33784/1089,6761242/35937)
(48416/361,10665506/6859)
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(102296/25,32718094/125)
(27221/2209,8937961/103823)
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(625936/59049,1177232354/14348907)
(805789/81,723322547/729)
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(-1161859/76729,966524659/21253933)
(-577999/119716,3051591721/41421736)
(-6114244/403225,11603037346/256047875)
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(-26949484/1615441,61501575706/2053225511)
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(-1491167716/90916225,29112395023798/866886205375)
(-533983999/37699600,12024089242751/231475544000)
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(-1011649031/183548304,182270558437363/2486712422592)
(-7052912824/568584025,817009812859826/13557886076125)
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(-77912534534578864/5332349912289481,19157670145753432663685186/389383873036469945983621)
(60676774620628349/2645757459203329,18055328058515558423494397/136089633288747111929983)
(1695135835157588209/338605666456788900,14830616484910060815829583177/197034071839742478072537000)
(-12455364056605391599/705882829456335556,4031849924869404364862150279/593060400823535569829483704)
(91046576473163598484181/2631095431947780625,27472325925596017383988587195601079/4267808272264077370352234375)
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#
# a = 5624:
#
(-10,68)
(1,75)
(118,1284)
(178,2376)
(-71/4,45/8)
(-110/9,1664/27)
(1138/121,106944/1331)
(761/25,22991/125)
(881/25,27779/125)
(2690/169,215896/2197)
(3425,200443)
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(-38183/2209,2225697/103823)
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(-4999/2500,9367501/125000)
(-103070/7569,36657296/658503)
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(-378970/32761,378580388/5929741)
(-71567/45796,734711049/9800344)
(-218375/47961,781051087/10503459)
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(-9965806/1311025,108088797128/1501123625)
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(25539481/3600,129067858621/216000)
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(267613039512990993313/170159587966370116,4377853456922594978519853897201/70191518501820584783489336)
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(34365690884715640543225/10986975870060742952976,86600071922262280524381759257497357/1151641366201082303881250594140224)
(5181199967723384629786465/159730726730131492088976,12728245860085932035220381473168842607/63838504033495824007302199407763776)
#
# a = 5685:
#
(19,112)
(-71/4,77/8)
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(319/49,26482/343)
(-1409/81,14966/729)
(4279/441,752282/9261)
(5641/484,907781/10648)
(7321/576,1216061/13824)
(44161/1600,10459841/64000)
(84601/17956,183078931/2406104)
(-733799/50176,568360381/11239424)
(-3180809/196249,3284323294/86938307)
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(95918779/13225,939410620708/1520875)
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(155747161/10176100,3125483193091/32461759000)
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(-2051897261/189365121,173103342026552/2605853430081)
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(-124702208032601831/9536360355404100,54691484557517083132263197/931266499691135048589000)
#
# a = 5757:
#
(43,292)
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(-71/16,4819/64)
(-1433/81,10810/729)
(-2141/121,19616/1331)
(4177/4,269959/8)
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(58831/2025,15856354/91125)
(101827/4761,40952440/328509)
(541543/7921,402093022/704969)
(94561/22500,257723441/3375000)
(1599607/37249,2095356506/7189057)
(1438393/341056,15210654637/199176704)
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(-26898239/6041764,1118122935233/14850655912)
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(-96790943/199430884,213689126648911/2816362943848)
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(-10125924527/1126139364,2680233869491975/37790984777112)
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(-51946112321/3261437881,7716839137967426/186257455946029)
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(-10520103304333568279/2036534093603859600,217857797052299050315428388981/2906280496912674022550856000)
(-49527371588395425836159/5977923483679243290000,33291854079724288025104016023208639/462195303074556576292488267000000)
(663530722662774917537767/8937204277604927385681,544283282357209044309964715273353690/844894585738204792633716909815079)
#
# a = 5799:
#
(-71/4,115/8)
(109/9,2350/27)
(145/16,5177/64)
(289/25,10712/125)
(3013,165386)
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(-12335/729,608156/19683)
(92833/4356,35767889/287496)
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(-3297227/192721,2379563566/84604519)
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(-3619895/201601,285036568/90518849)
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(71201953/8328996,1926561521071/24037482456)
(377529769/3844,7335450714485/238328)
(704647705/45589504,29989203085181/307820331008)
(2524158253/5851561,126820820060314/14154926059)
(-3545196551/198810000,31801037502707/2803221000000)
(1586449213/256672441,319456679467174/4112149177261)
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(-55261966787/3075922521,10278726775694/170593738937181)
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(2606747427259093/1637726930007921,5048818242355058964317486/66276907456454823673719)
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(39459079250874078619313262625/3772094555200525329142164249,19304984166208319408734874193655195460751976/231672164359066281593949314017927187325693)
#
# a = 5841:
#
(-6,75)
(12,87)
(-18,3)
(15,96)
(-8,73)
(60,471)
(75,654)
(-50/9,2033/27)
(265/4,4357/8)
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(2094/25,96297/125)
(2808/49,151089/343)
(-351/100,76143/1000)
(5490,406779)
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(3694,224515)
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(-15000/841,315219/24389)
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(-13052/729,198629/19683)
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(-8961860/1190281,95552168941/1298596571)
(42260362/477481,275880854503/329939371)
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(49704330/3066001,539575813779/5368567751)
(40138774/819025,260533097893/741217625)
(224756772/201601,3369535951017/90518849)
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(-713318586/75255625,46113998037663/652842546875)
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(-47310134212315455/7151466199260964,45060609229469006556123327/604773336408142828873688)
(148927004885303998/19267153662905929,212321321524109867469515279/2674399864550904063499717)
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(34039746120450544022928/439748007055295674849,6319707754537434956347108322514969/9221590226327581870822702886993)
#
# a = 5898:
#
(7,79)
(1057/36,38159/216)
(2359/25,114977/125)
(-3017/361,500015/6859)
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(-448073/25921,112968281/4173281)
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(-1155983/132496,3489121271/48228544)
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(3751657/506944,28656581515/360944128)
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(-30548663/1695204,14955619195/2207155608)
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(-56519249/4206601,508417202243/8627738651)
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(-2104354874995403513/116593319231454321,171515222088693773391987391/39811679507945686985008119)
(374784111408671911/332651688100526025,14736339838853945967231859591/191860069537510114492261125)
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#
# a = 5903:
#
(13,90)
(17,104)
(-71/4,141/8)
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(36277/361,6929574/6859)
(17297/1681,5763236/68921)
(-65039/3600,539209/216000)
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(-4891554404970871738751/11069712798917317022500,89482425512148447192853435723244193/1164674401133386917824075859625000)
#
# a = 5930:
#
(31,189)
(-1,77)
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(-881/49,3723/343)
(929/256,316687/4096)
(10009/256,1049853/4096)
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(521/2500,9625819/125000)
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(11553695048858304208801/1492614758249555035536,4611059360865907651857762504268559/57666234951320135314034650257216)
#
# a = 5937:
#
(-2,77)
(28,167)
(-17,32)
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(-926/121,98609/1331)
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(-248950130029295351/33691556966760000,460027845546342230295103643/6184172879296911576000000)
#
# a = 6001:
#
(-18,13)
(42,283)
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(-140/9,1277/27)
(642,16267)
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(11065/144,1171603/1728)
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(27879/121,4656100/1331)
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(-250668872621/15045720921,68471827851829870/1845523173890781)
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(-59820574659028938311514/151544916900572308748089,4570057333856091478828974890360071865/58994572833868031066527721760387437)
#
# a = 6057:
#
(-18,15)
(24,141)
(3,78)
(7,80)
(138,1623)
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(636/25,18759/125)
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(-812/81,51803/729)
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(-16143/2704,10749129/140608)
(-107496/17161,171375009/2248091)
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(2669784955968875986086/10143894113048283025,137970600269267020964451471142791/32307775825479079141563266375)
#
# a = 6058:
#
(23,135)
(-9,73)
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(-3600143/4088484,643403787785/8266914648)
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#
# a = 6088:
#
(-18,16)
(33,205)
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(297,5119)
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#
# a = 6092:
#
(-2,78)
(14,94)
(-11,69)
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(734,19886)
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(-1568240794/110733529,66444334954402/1165248925667)
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(-140973313063394/40820918265625,20287615853049538830246/260809949413861328125)
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(355152795433616966/69981305823289,211652238563587444312351138/585427424182525133587)
(-1120939411234174994/78192822251742025,1226375882637504680655891846/21865042856726060843634875)
(241202508002029146512662/2962269353115743648481,119126789171264040219048933578638250/161226645552589204322957854194129)
(241100914003961862913603198/183435850405829336523849,3743681279800360294563530837606654405930/78564495521962063170269761294845243)
(344475625823838206593959860837/56067381576246617282108376649,1055744223556187177980769910704528847252420419/13275943994374355614088077353205342406140357)
#
# a = 6184:
#
(-10,72)
(6,80)
(-15,53)
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(650,16572)
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(442/9,9532/27)
(986/25,32484/125)
(522/49,29492/343)
(617/49,31023/343)
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(-354282/19321,11594816/2685619)
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(-2646102/152881,1889234756/59776471)
(-7935514/442225,5923814016/294079625)
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(-7682437335/2842062721,11895715324130993/151513205719231)
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(-185247838935/10654781284,33509996657308331/1099807833697048)
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(32299360483189662652199145/136416020658490485460804,183608181202762466063073632658645306251/50384629006882292283247332334497592)
#
# a = 6217:
#
(-12,67)
(39,256)
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(196/9,3473/27)
(438,9167)
(-1382/81,25777/729)
(1521/64,71753/512)
(-3834/289,306113/4913)
(-2328/361,529025/6859)
(-3081/625,1220072/15625)
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(-1494/12769,113769463/1442897)
(-146106/24025,288259853/3723875)
(932983/1521,901190168/59319)
(1428228/17689,1716904265/2352637)
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(2863419/42025,4892758178/8615125)
(6982452/54289,18477598891/12649337)
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(-4414812/582169,33773122615/444194947)
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(70368762/3323329,759369246521/6058428767)
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(845780712153/11926387264,784583644953720605/1302456900326912)
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(27590552177224/25824811401,144924461515693190321/4150073016952101)
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(-18653906454041/1317465500481,87896117438122914224/1512198758641596129)
(75115676512512/1199811338881,659217690354180899165/1314224148345353279)
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(-3915752269012464180264861/432577017621469158837025,21052190579649696828935496915402167338/284508445752008571700086108164952625)
#
# a = 6238:
#
(11,87)
(27,161)
(809/4,23019/8)
(-901/49,1569/343)
(209/64,40551/512)
(-1063/64,20835/512)
(-2981/225,211103/3375)
(4377/256,434179/4096)
(13729/900,2671183/27000)
(54147/121,12600179/1331)
(-59367/3364,5313853/195112)
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(-24461/65025,1309608163/16581375)
(3397787/47089,6314953455/10218313)
(-815967/103684,2531770417/33386248)
(-2488503/320356,13772411909/181321496)
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(19505067/28561,86144077079/4826809)
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(-252924158481114847552271/27734212117331458560000,341897904821882804951759679781279433/4618742486060203008501141504000000)
#
# a = 6268:
#
(18,110)
(-3,79)
(66,542)
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(-183/16,4421/64)
(-846/49,11486/343)
(-5654/441,597358/9261)
(1017/256,325901/4096)
(8061/25,723809/125)
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(-49851/3025,7043893/166375)
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(150513/24964,317686583/3944312)
(-62819/65025,1312664671/16581375)
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(-99275746891862/14961648344841,4473725864062988843810/57872089685646988389)
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(866081745546842619051121/448175328861649096484100,23767651959552674590581455475575500919/300034999511351642034411675447861000)
#
# a = 6305:
#
(-4,79)
(-16,47)
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(706/9,18881/27)
(521/4,11909/8)
(-874/49,8611/343)
(-1/289,390112/4913)
(-9214/625,870091/15625)
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(39374/25,7812943/125)
(41219/2809,14483702/148877)
(50504/6241,40761313/493039)
(218144/2209,102219073/103823)
(472559/12769,344463068/1442897)
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(-106495061/8071281,1451702273282/22930509321)
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(-5535305714/2681479089,11017955293671149/138855031665687)
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(-5770264564936/591504042649,33357405299867776717/454921618673047357)
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(-468004264290599/35492402002500,13393710965281287542851/211447759549993875000)
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(-1359872674126179001/74211939937129225,249405536969314518358509068/20216719088971726149569125)
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(-153185109466972652176/10369325622537450529,1853403612299057221953095939713/33390718856634341143532181583)
#
# a = 6366:
#
(-5,79)
(19,115)
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(16633/484,2307251/10648)
(144163/5329,62924789/389017)
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(-386765/40401,601619021/8120601)
(-837311/52900,596126113/12167000)
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(-927514151/60279696,24422355979165/468011559744)
(-1215907997/65820769,4206185890661/534003898897)
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(-9543724253687/3688174293444,564363137881717829029/7082998579936051128)
(-4943358128250557/869171991048729,2014763654943933366015091/25624687879457107880067)
(-580090229755877375/31398542200610244,43074212443401192691686337/5563706696486596602086472)
(1321289524705355699972545/58491831924711864059364,1892264505776059003760011466292472223/14146299060934762339716821536182888)
#
# a = 6427:
#
(-7,78)
(-3,80)
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(97/9,2366/27)
(561/4,13303/8)
(-223/64,40911/512)
(6281/4,497787/8)
(-6283/361,233100/6859)
(6269/961,2439336/29791)
(33209/400,6085677/8000)
(46461/529,10061972/12167)
(108989,35981064)
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(-28719/3844,18476153/238328)
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(-552807/36481,378290042/6967871)
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(-2241063/343396,15779623555/201230056)
(16576809/391876,70298809291/245314376)
(-14676647/853776,28955294173/788889024)
(50808437/3279721,598244991060/5939574731)
(-47781059/4422609,668487043252/9300746727)
(2622457/4691556,814676910355/10161910296)
(373536953/1308736,7220385286317/1497193984)
(41370737/39601849,19980937492074/249214435757)
(515315377/19686969,13633830538874/87351081453)
(690222789/21724921,19867735990196/101259856781)
(-466841287/185613376,202478926461843/2528796634624)
(8819957321/67486225,829514557819506/554399338375)
(-3547250327/201526416,89259416486603/2860869001536)
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(200466091961/3502864225,91281411952941834/207317019156625)
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(-692265231559/46717364164,568814252556574797/10097584525135288)
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(1089883184769/446070373225,23911205208623262478/297923711221379125)
(16936466885677/53420614641,69707260648337077360/12347053241359689)
(-13785897285831/841868641156,34853470245476401229/772443101794429304)
(-86047173038167/6310224384256,988830554937418382613/15851384616841220096)
(-103318185612079/9195328464400,1973353174985761903719/27883730128877272000)
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(-31613532823400367/2541464922747136,8596914484142606228568793/128122728828415693328384)
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(122996957579717529/6584082586369600,60787574403148053940470083/534247999492933176256000)
(-1393692293474268991/175546280838529225,5662261192629918763455711402/73550808200920816509162875)
(4306025950779647577/214230781598906944,11959621119480269123266022749/99156869795370577452144128)
(15677909815935768913/575394207365376,62077217606102584734907780007/13802197200295243493376)
#
# a = 6489:
#
(-12,69)
(18,111)
(30,183)
(120,1317)
(58,449)
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(219/25,10578/125)
(-810/49,15231/343)
(-101/25,10018/125)
(1150/9,39059/27)
(-521/49,24940/343)
(2209/4,103825/8)
(-2252/121,8639/1331)
(519/289,395940/4913)
(-1839/400,639591/8000)
(20652/49,2967987/343)
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(-23040/1369,2102001/50653)
(-25518/1369,180237/50653)
(-20760/3721,18037977/226981)
(113922/29929,418856187/5177717)
(608631/961,474828360/29791)
(896799/1369,849273720/50653)
(373468/19881,321063191/2803221)
(-824970/49729,486367239/11089567)
(459292/24649,440530343/3869893)
(-542240/31329,200256139/5545233)
(3388932/61009,6355701507/15069223)
(2141070/196249,7672070181/86938307)
(5586960/192721,14860680477/84604519)
(1788609/193600,7266925023/85184000)
(2076400/201601,7881683867/90518849)
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(18596748/303601,81320781459/167284151)
(-3321639/739600,50878170141/636056000)
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(-104529318/9078169,1926833354013/27352523197)
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(-1605919118/129663769,100021868794387/1476481337603)
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(-11688981342/626951521,44973522614271/15698239134319)
(-7767177389/486864225,529409926152766/10742659124625)
(24399990430/248661361,3824465653174447/3921141001609)
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(-19481790831/1243267600,2253003799952697/43837615576000)
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(110870735938/233508961,36918033467334209/3568250433041)
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(-67033319370/21966500521,261683983857131373/3255677008717931)
(426371456200/13730449329,307096393979821139/1608892861024233)
(788491535710/6078229369,701197017766267499/473876996295347)
(96570076618/138622927041,4157696630530122049/51612226818832161)
(10184211432522/27039526969,32502553454606430957/4446298696201453)
(3255632953129/121912705600,6801815290075421867/42567040287296000)
(23649918340812/390183874609,116676072061556781747/243727186722888023)
(58206487823320/9030510841,444075790346931945313/858160414709389)
(70798815909361/8545449027600,2098618658374036461641/24980569324421976000)
(-540272488916852/42102072709321,18071198606549389143961/273183972104500043131)
(1284920262612361/568345600,46058974765034318448859/13549359104000)
(-2245743094563680/129396153309049,52273300493442343272481/1471912687155686473907)
(-977789254891440/392443984419601,625514241015074313573117/7774393427705195310599)
(106189260285037920/4941386663929,34603568946526854837195039/10984322067141044467)
(-18622343153215929111/1007983113244238884,13695905278745316747758993685/1011998536949787125391557848)
(74173389249459011761/55276931266814296516,33112015072995557530396380235895/410975457281008663423965220936)
(71855124121730050313601/438850200302103097600,19275576718758486197498076429169599/9193363905955034797549451776000)
(-210167248399011656022429/11729079279922640038225,34458764979202117747699237394636994/1270269535647486865737604503489625)
(-73724035681451857810652871/4543852170011256614406400,456134419415712441164035543688025771117/9685817690286510925651878265728512000)
#
# a = 6499:
#
(33,206)
(65/4,831/8)
(293,5016)
(345/16,8227/64)
(801,22670)
(7505/4,650169/8)
(17837/1849,6837948/79507)
(-54211/4489,20701980/300763)
(132917/5329,57721368/389017)
(455501/10201,318444180/1030301)
(-469471/28900,231078417/4913000)
(1307921/16900,1506245031/2197000)
(-291503/33489,468317798/6128487)
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(7335425/64516,19911130977/16387064)
(-529815/169744,5624663221/69934528)
(-22048455/1227664,36145382291/1360251712)
(72585729/6150400,1376389618433/15252992000)
(817201905/11182336,23554838468663/37393731584)
(-3136043359/460960900,778278194244561/9896830523000)
(-4921784367/265005841,41555217579146/4314030085639)
(-6939216523/1095411409,2865000278594352/36254831403673)
(133916841/1906195600,6709257714035861/83224499896000)
(123334739933/18498601,43313984655541044/79562482901)
(100030888529/3522422500,35846356854320583/209055775375000)
(-57138768287/3814421121,13196202487123006/235582462854081)
(-59303984415/4331745856,17879462094226897/285098185258496)
(2395247541941/14660124241,3709786612871204760/1775033182976039)
(-1784918372751/121912705600,2467640696511037193/42567040287296000)
(5442398677225/44569965456,12719183901839118197/9409432827208896)
(3560676089693/562831548841,34696867595238514356/422248047403043861)
(-72217710349147/14202881106241,4271205174183478211616/53525986141538375711)
(73957536029859393/759866658731041,20183612307983414898624494/20946240397382423541839)
(48087476053954289/7055326336080100,48924735886136220842831913/592619120372120718799000)
(-640121003601212015/38424301440422976,326190024319026801554684857/7531976755330205692939776)
(29288572485705708241/855048711069633600,170842260510981381480947319961/790653658762990224955584000)
(-81521450554914740175/7891079755326443776,1628388025623074128169973990743/22166884032427984237855870976)
(86398816600577452664669/946311965249672784169,25503989475934809565626381942176700/29110622808714095674644811290197)
(70860560684192471962809/685857815916990307600,18918328636015945172134575976968877/17961853017439892684249121176000)
#
# a = 6508:
#
(6,82)
(-18,26)
(89/4,1059/8)
(129/4,1601/8)
(-466/25,702/125)
(157/9,2935/27)
(134/49,27714/343)
(2477,123279)
(5942/529,1083150/12167)
(24638/169,3871362/2197)
(16817/16,2180841/64)
(-13759/1600,4904289/64000)
(-19443/1681,4854239/68921)
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(851806/11025,791687546/1157625)
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(-461827/29929,275628327/5177717)
(-90602/40401,654538670/8120601)
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(-4128538/249001,5486631306/124251499)
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(-152917503/41011216,21102850268929/262635827264)
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(-5351307791/310112100,202107726751177/5461074081000)
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(-830016338/1633210569,5324547000898610/66002938724997)
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(-5697672027/1045422889,2692724065590637/33801658270037)
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(-199270985391/48159180304,847941110070663079/10568628436073408)
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(-11874373913149225327/720141593343418624,27499739444810940136783146297/611120486709176840993042432)
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(3296671791258473943778893/52055540703319737943489,6061880005170032248977813658468899553/11876827336487515574358674624295263)
#
# a = 6513:
#
(16,103)
(22,131)
(-17,40)
(4/9,2179/27)
(-146/9,1279/27)
(178/9,3223/27)
(1483,57110)
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(-1439/100,59441/1000)
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(12652,1423111)
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(-228008/17161,145129379/2248091)
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(-415151/22500,51339257/3375000)
(-29303/29584,410623195/5088448)
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(205936/109561,2928166853/36264691)
(3788191/50625,7430145364/11390625)
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(-5507462/1471369,143455556633/1784770597)
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(-314602466/17833729,2408987278381/75311837567)
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(-9765124703/730512784,1268002880284145/19744299525952)
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(320852582737192/10770414712561,6416219675408454278879/35346680886538779191)
(476688014018857/19658156797504,12561696146054162736725/87159392017246955008)
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(16310299167468604/188010250692489,2093381277641516995052419/2577936958245939648987)
(26500811779376854/1776134602089,4314085685876558619686719/2367084778492245813)
(161752462573128376/15438191471769361,167918663700359745534836177/1918203302788716952548359)
(107036083546295938633/7304073759087876,1107376531311135641271987276955/624234439433392589391624)
(2868045807701007493576/7549476722135094321,153604846352760398812699768633087/20743177113508687501299020631)
(101357160756261210028822/188445281997650844321,32269389101765657808054279994629971/2586889649126932679649722176881)
(8452390538886346605082339/254485745422815810141225,26668441665427246811775108516985348438/128379355671195607850971356242392875)
#
# a = 6515:
#
(-11,72)
(-71/4,243/8)
(601/9,14894/27)
(829/121,110052/1331)
(2329/9,112418/27)
(1249/81,73558/729)
(3841/100,251361/1000)
(649/144,140453/1728)
(65329/2304,18934057/110592)
(285241/3600,153335789/216000)
(-147599/45796,789005079/9800344)
(-476639/33489,369333946/6128487)
(1042729/122500,3620779317/42875000)
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(-1877591/1473796,144392402187/1789188344)
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(-14996531/9259849,2273638639788/28177720507)
(-527800079/42588676,18874170577449/277933699576)
(-1745744051/99102025,31948295923332/986560658875)
(3749738389/5387041,229617851147928/12503322161)
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(107630878921/7985924496,67564369333498501/713654156660544)
(770129204809/1763160100,675868748459198373/74035092599000)
(-324174181319/17389169424,13784732331187949/2293074993604032)
(204196161529/70533267561,1514800492986888098/18732295732117941)
(6274799608429/34678260841,15726731190607812852/6457820412071861)
(-8452487364911/651326474304,34587192130279335577/525651728434094592)
(-65228976577391/4140085478400,429862915859354222023/8423914724610048000)
(9427042999309969/25704656640576,915359957046361300870457/130321992255960946176)
(9966593634897721/907422782124681,2420316466353192425552074/27334712972998760991579)
(-43467228431220311/3844409954929636,16971887483560144016228853/238366126824948429376616)
(128237350117048009/4406941007192025,51637623884035130022237098/292553875339536105259875)
(394515811825461709/4782375713206729,249231049005836647679823108/330723867728738785731067)
(-977882248855970111/133304430725916849,3807600154385330836299575402/48670619803891614556753257)
(57359849822539377949/428562544040203225,435012018918595711317754657668/280557134483594356013204125)
(-162414879154239150256871/15193066141454282820964,136249243474551376793923558413571293/1872699707910001587757507435153688)
(82149859844510309858809/12670817225174362956816,117506709670776335504398960827085837/1426287051459371622115132184700864)
(36033124523215042316403409/1458391001600256827535936,258831049691686047963416056090915029863/1761209275510451627717763052588829184)
#
# a = 6616:
#
(-6,80)
(-18,28)
(-55/4,507/8)
(362,6888)
(105,1079)
(494,10980)
(-319/25,8421/125)
(385/9,7867/27)
(-6535/361,179361/6859)
(29198/289,5005164/4913)
(809/625,1271127/15625)
(23402/961,4322952/29791)
(5345/2116,7926831/97336)
(19929/1600,5917283/64000)
(66105/196,16997651/2744)
(-75535/4096,4866249/262144)
(123502/12321,119408572/1367631)
(-211622/15129,115899976/1860867)
(635534/28561,640963740/4826809)
(1496522/17161,1839840912/2248091)
(2899598/66049,5126906676/16974593)
(2113545/121,3072679399/1331)
(7388522/151321,20646197232/58863869)
(1715345/165649,5926147203/67419143)
(4083342/192721,10744355492/84604519)
(-4610198/251001,2576220832/125751501)
(848058/299209,13335391576/163667323)
(-3301602/458329,24515161604/310288733)
(21717465/456976,104280214429/308915776)
(382175786/1369,7471275500640/50653)
(119120625/1317904,1305922250807/1512953792)
(-46658882/9753129,2456914434884/30459021867)
(98517614/20784481,7769158470780/94756448879)
(115993185/4656964,1492922408977/10049728312)
(-312474774/17833729,2648569928680/75311837567)
(-105333871/18490000,6376004626617/79507000000)
(487274465/13293316,11455928076369/48467430136)
(413384881/3348900,8419656344471/6128487000)
(456954425/39037504,22113417536493/243906324992)
(1996656081/4389025,89221630762979/9195007375)
(2182154545/157176369,189948874174163/1970520138153)
(-3111685639/493728400,875294156612109/10970645048000)
(36494305838/3265249,6971683486686684/5900304943)
(3134549854/1956204441,7039699168911580/86520966220989)
(-27224417826/2092056121,6356114005604860/95688554918419)
(70509451354/871961841,18839579763637360/25748161202889)
(30463144569/787924900,5613038738337997/22117051943000)
(-9295117695/2436113449,9738972274345147/120239251502293)
(123969344961/230280625,43649640156463291/3494508484375)
(-76714997455/10225861129,81381865963392243/1034069754947867)
(-104689478482/25397840689,327477911713028244/4047577677083863)
(-2325977659575/190653616321,5767594126512762599/83246804376785119)
(-7291430879682/489514320409,19707990935208014764/342490162817118077)
(9776478639025/37603802889,30574222378717071923/7292016644826213)
(5870742418569/269864665225,18230901367875862247/140190645614409125)
(69769439462569/3065458214025,728150967292404120247/5367142186734601125)
(1184971935694478/4283836086049,40797163021432277775444/8866439752247315407)
(-452458438588255/25290368276209,3793723938541434429483/127184073413746079177)
(859328649514665/31513302096241,29010662239450648464919/176905310091907310711)
(2010695748841945/5161556872836,90166215328084927928989/11726572028737345416)
(-2513943465173551/142422026764900,56789228919815830688793/1699674436954190143000)
(82420851700381865/282538514089924,23665381596444802932853653/4749156543792869904968)
(28357607060282681/3136198243132900,15062752016289345399725421/175632652686332745233000)
(-297718213175161415/59092497231386256,1157065085705859980807601709/14364764660249113575731904)
(538583317818004362/242846942578290961,9742141736604415915658160632/119673766596124114053014791)
(133728277172992868094/551589106006583401,1546805353396019487181006209380/409659961906716235057803851)
(-47209801602745040438/193149010196059790601,218341354107072908858564421824912/2684347462946261414174272085349)
#
# a = 6686:
#
(-5,81)
(-13,67)
(337/16,8103/64)
(-295/16,1309/64)
(1441/4,54705/8)
(2011/25,90759/125)
(2611/9,133435/27)
(1177/256,337347/4096)
(80875/1849,23900817/79507)
(29785/2916,13863709/157464)
(88067/841,26210813/24389)
(-377063/21316,105579453/3112136)
(-379943/27556,291636387/4574296)
(723905/17956,646576799/2406104)
(436865/31684,544092287/5639752)
(915659/19321,903294175/2685619)
(31483/74529,1663694479/20346417)
(7201291/297025,23423350839/161878625)
(855563/237169,9477403961/115501303)
(4488121/399424,22725830445/252435968)
(-1870615/465124,25811502133/317214568)
(7439515/811801,63156304281/731432701)
(-40467125/2229049,88213037217/3327970157)
(1272527201/56400100,57097737050449/423564751000)
(7028093419/255025,589191249867447/128787625)
(4277258609/31584400,280112220091273/177504328000)
(-6770483335/466905664,608428325889203/10088897587712)
(1437781321/612562500,1240875921531131/15160921875000)
(-34047466813/1974113761,3459626582566613/87711848514991)
(72203970785/109662784,19402009331241263/1148388674048)
(232718186539/1968253225,112492113005613663/87321554327125)
(-32936765077/5556658849,33337453703101241/414210020581007)
(577765588681/637966564,439166761147071045/16113759473512)
(478537829561/5320243600,332552649037599059/388058568184000)
(135130117195/50683967161,934337378218710879/11410532210923091)
(748296771323/26178269209,734135042434746281/4235565423208573)
(6479012716795/432731099329,28526314284671167377/284660469953900767)
(1466501136097/1041836655616,86970746583640907823/1063406841733873664)
(4606911098539/3383594697025,509017424616619974087/6223970183416121375)
(-19780813299869/2746202465889,361569924949334309765/4550916101789876463)
(200191806497257/7531314216976,3298359211210743853323/20668366357188444224)
(-86110569336815/7211287227456,1367032773417166798201/19365075340014703104)
(161860821075864475/2787301360420201,66222071624458681403043369/147155293805947109354699)
(57350447450987528705/2311090599758939716,520731110367483634498755138241/3513382685107686010512248264)
(-523915257447609967920421/29404030631106987592801,161764401902269669678528454169341825/5042086590080782518504865150547951)
(-706806558937052288569855/37518471316129033805584,227739830429194465620612542417663/7267209867276610372575462247296448)
(349719856117857968887649/63059135291458914422500,1311220257761116217967276320539981393/15835143985828670572607631424625000)
(75502493618477364527539865/257762422421038232689216,656144819646040413240653435041260296509/130866777035489087086843139093195264)
#
# a = 6751:
#
(17,108)
(-3,82)
(305/4,5367/8)
(225,3376)
(617/16,16203/64)
(289/36,18415/216)
(-1231/100,69897/1000)
(-6715/361,121734/6859)
(36101/1225,7711026/42875)
(-19167/1444,3644911/54872)
(13121/2704,11650335/140608)
(126845/289,45178038/4913)
(-92735/5184,11958623/373248)
(-135351/13225,114611768/1520875)
(496509/6241,352194650/493039)
(162105/26896,368252819/4410944)
(-1812439/100489,946983480/31855013)
(-778695/157609,5094965852/62570773)
(8732937/17956,25807933637/2406104)
(7176457/509796,35553498427/363994344)
(-2871235/1560001,160018696626/1948441249)
(30686973/954529,186464317366/932574833)
(123864161/1982464,1397485124625/2791309312)
(-63893383/6031936,1104893152563/14814434816)
(243997097/866761,3811910491248/806954491)
(1026492161/8898289,32959931451540/26543596087)
(844379385/51208336,38840304146291/366446852416)
(-1719480223/98883136,37993186086417/983293904384)
(1392406777/45887076,57895434876653/310839052824)
(1309021797/61011721,61451532844678/476562552731)
(2550738825/45589504,131283935470117/307820331008)
(4087204921/220077225,374483817761156/3264845632875)
(937040985/1866931264,6627971217644963/80666366054912)
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(-99389343055/38105382436,610368396306629559/7438399283801816)
(729950511441/19528665025,662734327602152636/2729033293918625)
(489124369805/57980305681,1197029315470088046/13961135785233671)
(2665709349521/955428100,4352304379967417319/29532282571000)
(-721245647231/48832160400,641035199292291647/10790930805192000)
(7642240773369/217137360400,22703549325066259597/101181667199192000)
(24249650492537/1209926656,119414819219169861837/42086088802304)
(18904492505825/570759096196,89506000084138920369/431200506548731256)
(18449919833553/2598756484,79248623819371132409/132479408041352)
(19632210317101/58948440849,86994837012238088390/14312268799051257)
(105575035826669/7257501300625,1938401620898909459178/19551527066351234375)
(761259651688625/2090910216004,21005334009035319340617/3023451990521351992)
(60900355020453425/398884059414724,15043235590435164970617993/7966545143123739735368)
(149861774144878325/1652610227031481,58276486153995207542806254/67182421605843918339629)
(-209511187343774511/32372624185123600,468869388989873018652636263/5824610091526727498984000)
(-1553398349190917319/163117665055758400,5054880034955063849090925421/65879682000335806687552000)
(214443110298646535793/4283944698571100644,3223679574736846630786439181079/8866776954395646668753189272)
#
# a = 6807:
#
(-11,74)
(61/9,2278/27)
(73/16,5317/64)
(-431/25,5128/125)
(2689/196,265889/2744)
(13249/36,1525121/216)
(16273/361,2151628/6859)
(37969/676,7539271/17576)
(133729/1600,49187567/64000)
(746173/6889,646278050/571787)
(613657/21904,550112771/3241792)
(-121031/65025,1367390672/16581375)
(3454753/210681,10241507708/96702579)
(5620129/148996,14143265071/57512456)
(-33052463/2090916,161605746055/3023464536)
(580262677/101761,13977740192110/32461759)
(899200153/82464561,67411952884412/748860678441)
(3966872713/5997601,249848937208748/14688124849)
(-2407758023/186814224,174417118191251/2553376813632)
(-16254381407/1809311296,6001933181007503/76960865286656)
(-47462946899/2544496249,2284490933435162/128352024288307)
(401234274121/2629638400,254397444343071419/134847857152000)
(551302650529/1801662916,409389504016422319/76473384132536)
(-799706931743/42225318144,32244024661014959/8676796174774272)
(-2261020990451/120229321081,520799536009506994/41688435020947021)
(10297997411449/390625000000,38701661166416074957/244140625000000000)
(-3456335378831/710032057956,48942210233460079639/598297153123696104)
(16065568710757/730342869201,82452017020600940590/624151746362043801)
(204224250725977/279918239329,2918534107871683524584/148097182636512017)
(-1050283074806783/55426416891664,706491155218739584511/412643687705414180288)
(7932393288304609/4485441108996,706490985542448829038641/9499652928567102456)
(30779225924219137/334943145308304,5423542380476211100606849/6129945896588950857408)
(39083526700079713/1961877290231056,10540489266382972152888047/86897595613896542816704)
(289989129888519684481/15484267183228729600,7046812437887464251649121901121/60930674361677153081990656000)
(-209380996003921016813087/26514709712568420206656,343085170708615711444532018359945297/4317479807943521641424873741917696)
(1812319925425642252892521/486323860691866272998400,28087359935728291125624215843429807819/339147302447353558064402991771648000)
#
# a = 6813:
#
(-9,78)
(33/4,687/8)
(91,872)
(-39/16,5277/64)
(-429/25,5244/125)
(969/4,30171/8)
(583/49,31618/343)
(15231/25,1879746/125)
(507/529,1004340/12167)
(-47391/2500,131727/125000)
(55233/2704,17412513/140608)
(52801/1156,12559103/39304)
(6643/4489,24831152/300763)
(500967/14641,383547606/1771561)
(-74207/12996,120605615/1481544)
(1410867/89401,2770661076/26730899)
(4156113/65536,8585299815/16777216)
(3806463/109561,8007023130/36264691)
(2065777/97344,3885871735/30371328)
(-6829839/456976,18209009463/308915776)
(-12658503/839056,44678004909/768575296)
(48305403/20449,335732725992/2924207)
(-24407591/1658944,128704679011/2136719872)
(104678019/3853369,1239687288624/7564163347)
(63615097/3041536,670179500749/5304438784)
(-85322279/6812100,1237959758269/17779581000)
(206558233/770884,2969208205667/676836152)
(1970203689/41964484,90284145084939/271845927352)
(967666713/198021184,231966065863293/2786554101248)
(8416510353/316768804,901531742596953/5637851173592)
(4265565897/553284484,1109753973580965/13014357632648)
(-5609842137/591121969,1109369795415258/14371948432297)
(13868236039/26450449,1633210266286666/136034659207)
(44357579409/305550400,9352651812683577/5341020992000)
(31062690799/56025225,5474787796065718/419348809125)
(25057731007/703469529,4255029379552510/18658122317667)
(97585293273/1618291984,30954290489810787/65100649932352)
(265679219259/149646289,136941992926501524/1830623053337)
(28308720799/6651544249,45029398691492594/542479994315693)
(4642565775081/32914667776,10015293323014278027/5971510686593024)
(-44907634947917/3660720716601,493618666566063551300/7004060607793409901)
(291169751833617/115759174756,4968433454756183841561/39385207063932904)
(-118667571326381/6851227725225,721061932652941389472/17932985802360559125)
(-255487431700341/14977774632769,2493025129040506808964/57965680317349532897)
(256176430633227/16492427621569,6882925098478052180220/66977183412394785503)
(-54164475838583/9823172029636,2509786308335398787771/30787726836252973384)
(5978145408942369/39260500272400,462666817336051939869903/245999227816809368000)
(-454520867721999/237156304014400,301298322807033906114249/3652178623065278272000)
(-4612042305806679/2180574692997376,8398928222622197880409707/101825476542813900058624)
(150282187980717256081/583174588703246596,1842670559241191156363276033447/445346340117711739435332856)
#
# a = 6834:
#
(49/4,745/8)
(55/9,2269/27)
(-713/49,21013/343)
(-4673/289,250823/4913)
(10255/289,1115089/4913)
(11161/1156,3456515/39304)
(137647/169,51068473/2197)
(-716711/40000,263096413/8000000)
(354655/95481,2448134063/29503629)
(4157977/71824,8626612093/19248832)
(10289065/145924,33323948629/55742968)
(17446201/3600,72870428051/216000)
(-165686591/8880400,487403855327/26463592000)
(2091502567/14722569,95764511937637/56490497253)
(3556580935/119924401,238275034946003/1313292115351)
(-11346826775/1178274276,3117431493138997/40445442797976)
(39310191793/839608576,8049259094269079/24328498098176)
(64899921127/27741289,16533559757640827/146113369163)
(-124241524583/16100564544,163111666867378237/2042968433859072)
(465876791161/20154345156,396310481359711885/2861231764416696)
(-1250816772527/125511484176,3399297318062707751/44465706567936576)
(2203484805535/257557265001,11289787354405410047/130710569545272501)
(26668315514767/257660805609,138142615493770655543/130789397909545227)
(108731082012518056759/242421377928933025,1133827564469166037222940103973/119359330234399037079391375)
(726853843642791583729/101280359834839526884,86509441911710838811500102126985/1019266741514871735977916738152)
(411265769518569498365335/307841492421525341513529,14122252499877917320093590026548395901/170801127696579161369051610044008083)
(10343810455075018695827393283097/7287568807835657007603357444,33267590695867236895070411612455361105401017923/622119769573378746138080595212644425403128)
#
# a = 6921:
#
(12,93)
(-18,33)
(10,89)
(34,215)
(150,1839)
(-15/4,663/8)
(-384/49,27525/343)
(591/25,17736/125)
(-263/16,3187/64)
(1048/9,34001/27)
(1140/169,186783/2197)
(-1845/121,77334/1331)
(8259,750570)
(5289/196,447285/2744)
(-1017/529,1011684/12167)
(-17880/961,652899/29791)
(30600/121,5353959/1331)
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#
# a = 6940:
#
(-6,82)
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#
# a = 7019:
#
(13,96)
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#
# a = 7029:
#
(3,84)
(15,102)
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#
# a = 7055:
#
(1,84)
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#
# a = 7084:
#
(-10,78)
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#
# a = 7133:
#
(11,92)
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#
# a = 7148:
#
(-19,17)
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#
# a = 7226:
#
(7,87)
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#
# a = 7232:
#
(8,88)
(-16,56)
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#
# a = 7233:
#
(-2,85)
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(-122456651009378469593/10110348031024958409,2374611827794422956439014429540/32147644604536113444714460923)
#
# a = 7262:
#
(67,555)
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#
# a = 7311:
#
(25/9,2312/27)
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#
# a = 7353:
#
(6,87)
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(391,7732)
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(-217351785829749027685484/60939605633165202216025,1285990220613127961837496516391621439/15043519699574722147033737587820125)
#
# a = 7388:
#
(2,86)
(58,450)
(26,158)
(-19,23)
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#
# a = 7415:
#
(-11,78)
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#
# a = 7441:
#
(-6,85)
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(4289164075504311816/46378027129269889,8924669477775246120888254935/9987767070813733309940287)
(3356425660387688654473/648579400064563973184,1438029092292075292144289844857509/16517515612768781842927580917248)
(2037953481809999431462345/58747807287455395673664,3157982118486212345341633135028604923/14239262370966435995340458174003712)
#
# a = 7464:
#
(10,92)
(70,592)
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(265/16,7013/64)
(-119/25,10721/125)
(-950/49,4556/343)
(-410/81,62432/729)
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(-36695/2116,4615787/97336)
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(-13755050/998001,69403552408/997002999)
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#
# a = 7471:
#
(-15,64)
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(1805,76686)
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(-1759/100,45039/1000)
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(969/100,91547/1000)
(-208951/13225,90321468/1520875)
(-386335/33124,462451023/6028568)
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(962810905/12467961,30116610871876/44024370291)
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#
# a = 7513:
#
(-18,41)
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#
# a = 7528:
#
(6,88)
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#
# a = 7551:
#
(313/4,5581/8)
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#
# a = 7568:
#
(-8,84)
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(-17643451430331081961862759/1023108043046563720083600,51113673291612027358116593255362297789/1034861543092142590265880702847416000)
(1222349653713093696341774536/34528591606730290546890625,46237459825115952846401880518563583779284/202893575828025434467116470180662109375)
#
# a = 7694:
#
(-5,87)
(11,95)
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(-55/4,571/8)
(1075/49,46341/343)
(443/121,117121/1331)
(6553/16,530499/64)
(7897/64,703203/512)
(3883/81,250271/729)
(8659/25,805827/125)
(23689/1024,4642725/32768)
(53603,12410339)
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(-350087/17956,40449651/2406104)
(-662431/36100,266995247/6859000)
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(-530189/40401,598613435/8120601)
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(-119370509/6175225,332945636211/15345434125)
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(6666253627/71014329,546805872859393/598437750483)
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(417963672954905/14065620173056,9717314035991875253123/52751926946951991296)
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(-138968704560229159/9809872407040000,67672985575700601569863139/971616850580795392000000)
#
# a = 7743:
#
(1,88)
(-71/4,371/8)
(613/9,15362/27)
(673/49,34868/343)
(3313/16,190775/64)
(7549/289,785554/4913)
(13549/625,2092282/15625)
(-82463/4356,8901071/287496)
(-330599/24336,274709053/3796416)
(-61943/30976,479477531/5451776)
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(-379727/47524,881099593/10360232)
(2436697/91204,4510221635/27543608)
(935317/131769,4305061250/47832147)
(-2434943/221841,8372454236/104487111)
(-127228967/9554281,2166476328020/29532282571)
(306885217/2202256,5383744231151/3268147904)
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(-87961751/52490025,33453208900432/380290231125)
(3861825769/41757444,241159461765589/269836603128)
(11466297217/13586596,1227828159793631/50080192856)
(114454838401/26460736,38721418225513153/136114025984)
(164963566441/9716242041,107663992743575132/957739694223411)
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(1476815294961784969021/6565659174375350625,56772362818880160698153444486194/16823544525370691409825140625)
#
# a = 7785:
#
(-6,87)
(24,147)
(-9,84)
(-14,71)
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(984,30867)
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(3264,186477)
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(-361521/22201,194776032/3307949)
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(-195296/47089,897448427/10218313)
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(-4432566/249001,5753151267/124251499)
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(21950824741252584/1432320245844049,5783830926095186023748763/54207602050455599362343)
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(-32215035893755101491591/2154536620887746595600,6665434042567748606557807094735923/100007096900776292401346704104000)
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#
# a = 7822:
#
(-13,75)
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(-79/4,87/8)
(99,989)
(123,1367)
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(-4117/361,546087/6859)
(-5221/625,1329417/15625)
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(-60847/3136,3995097/175616)
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(5711947/1361889,141224496479/1589324463)
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(-59643439/70694464,52567865496807/594399053312)
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(2530329392379459081/168279996509284,4024997277497906994122336677/2182974896557461628952)
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(32247639191849689403/865231671651246601,196471961210803201101296031057/804819726307946427850204901)
#
# a = 7845:
#
(31,194)
(-941/49,9472/343)
(769/100,91103/1000)
(-9641/841,1941718/24389)
(28489/1296,6340283/46656)
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(985081/12996,986471981/1481544)
(-49151/60516,1318520737/14886936)
(-1022039/150544,5069359381/58411072)
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(-8699399/438244,1390263341/290117528)
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(1431655029838129/32020659342400,56497212632799297639383/181194664607652032000)
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(-51005742018037643351/2801153434300867584,199325218951192568368774041323/4688191543840835094290792448)
(805944933502389124894561/50587032371990577742224,1240592972849367234172549317501889681/11377813328415177703625017390669632)
#
# a = 7883:
#
(-19,32)
(73,630)
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(137,1606)
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(7524673261057/168209897956,21530696360581198689/68988598288286104)
(4072777355861/218032029721,12217322507942386012/101807657925894019)
(17177543329801/50018875201,71200630320914421078/11186671419828449)
(-2784081723743/788178186436,61953368780811435729/699739864848762184)
(3746841878641/1097505569161,102340886907621175062/1149767686858877659)
(1093222193243537/59660993536,36146201036585994117049/14572555637129216)
(-672365450612087/104721636422881,93537225233083033565310/1071654100582817087279)
(14377631142406993/698460115132816,2378687539371604211720025/18459180512935653843136)
(-48680093671106831/7918999406337600,61639079137945386385290697/704701937610719165376000)
(28135633704074713/8361810178528356,68052341152502633918280835/764628456275696674836504)
(384407427794940613/87309320978991049,2302899911073221872307368908/25798289738018990498030843)
(-1981799829291927311/101648663270015625,704113850532624208305909238/32408020712316552873046875)
(5737420866934580641/34694728456344100,13754767413777544877932219311/6462420881813909618761000)
#
# a = 7948:
#
(-18,46)
(-19,33)
(-3,89)
(102,1034)
(206,2958)
(137/4,1755/8)
(-634/121,117582/1331)
(-1762/121,92790/1331)
(6278,497430)
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(5129/64,370149/512)
(6574/225,612082/3375)
(-14591/900,1639423/27000)
(-25567/3136,15113295/175616)
(78093/529,21850127/12167)
(-57866/5625,34940098/421875)
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(36357/5041,32652701/357911)
(169654/11025,124636042/1157625)
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(611486/73441,1837641342/19902511)
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(-244834/326041,16596850602/186169411)
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(12448654/308025,46491261542/170953875)
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(-56850491/4473225,726409420973/9460870875)
(-98705223/4946176,10109586259/11000295424)
(-22803239/5475600,1137088299491/12812904000)
(-131131402/20511841,8144745013350/92898127889)
(134397233/10523536,3419119681065/34138350784)
(27627521/12432676,3910888587903/43837615576)
(84421137/7054336,1841685435271/18736316416)
(516236573/28313041,17831691088425/150653691161)
(1287093582/40589641,51611163764374/258596602811)
(900735049/34928100,32702634750907/206425071000)
(2322653862/52548001,116975755727126/380920459249)
(9313680822/2588881,898839321155254/4165509529)
(16545464622/141395881,2133501543101546/1681338420971)
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(-29913530343/4013982736,22073919789072259/254309890222016)
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(-57958685679274/2935640183641,79896608402870367678/5029840757085163811)
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(5618221144198017721/318355131792902400,20827394202106706539282148269/179625414137867147423232000)
(1044609957870224291846/6069901401887226121,33788552301137044896011580048258/14954519205384475656392269669)
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(22213639902324852469654/247690163819492883225,3328964438727498451890244594548542/3898191234376757201564516752125)
#
# a = 7997:
#
(23,142)
(-79/4,137/8)
(67/9,2476/27)
(859/81,69884/729)
(-1999/100,2999/1000)
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(1907/361,619000/6859)
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(113129/16,38050549/64)
(-150383/9216,53467705/884736)
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(-1191607/80656,1582409797/22906304)
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(-37842991/3083536,424580115431/5414689216)
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(-3104628647/220700736,236735457591203/3278730134016)
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(-591392438929/109776255625,3220613522933952994/36371617894953125)
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(-5726477272457191/553284484000000,1080136181236369210421123/13014357632648000000000)
(-318671633376110687/110257339304642436,3269024868859645548573637777/36610972229118417630141816)
(8042276953615769729089/105386636499776409600,727681466471359447931303622428063/1081878065531957305814777856000)
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(-10181533876316523515366633/983022104501772803792289,80877096704843217229178211675615793466/974641557933817718352862106431299087)
#
# a = 8130:
#
(-71/4,403/8)
(151/9,3061/27)
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(-839/64,39251/512)
(3121/4,174359/8)
(2839/121,193093/1331)
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(-385001/56169,1176289237/13312053)
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(-25603481/11854249,3677791108723/40814179307)
(-19140089/44209201,26504041576619/293946977449)
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(-6012028319/304293136,108479036886289/5308089464384)
(-3561008639/404492544,702063365817599/8135154044928)
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(44051343956727684121/4041269243876484,292373997392498756671760871491/256907438194548599081352)
(4459410596055146700717361/310874378379876906362244,18246572862730207969861860750181704599/173331459854627168908574344734350472)
#
# a = 8220:
#
(-14,74)
(34,218)
(-11,83)
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(24874/9,3923002/27)
(9061/961,2835349/29791)
(44026/2025,12393226/91125)
(-47966/2601,5855282/132651)
(17506/3249,16949386/185193)
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(-56219/11881,116653669/1295029)
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(-660779/33489,142177571/6128487)
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(-5526479/1210000,119972671319/1331000000)
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(-167496131/8439025,491070748097/24515367625)
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(-4823800214/623650729,1371722078465894/15574429655317)
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(-522079582737694319/30902699990723044,316672853098157299589962439/5432436249991788709106072)
(3876794719342777729/28185098753296,7633245104356843789525465153/149633674617693345344)
#
# a = 8225:
#
(-20,15)
(-5,90)
(-10,85)
(16,111)
(50,365)
(130,1485)
(65/4,895/8)
(79,708)
(74,643)
(100/9,2645/27)
(1240,43665)
(-164/9,1259/27)
(1640,66415)
(-26/49,31107/343)
(-349/25,9274/125)
(3950/49,250195/343)
(8590/169,820695/2197)
(1465/144,166445/1728)
(2836/121,193341/1331)
(-2945/289,415920/4913)
(-3895/196,53285/2744)
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(-265/361,622040/6859)
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(-6170/1089,3222955/35937)
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(-20690/2209,8933205/103823)
(-4934/841,2184561/24389)
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(29600/5329,35646295/389017)
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(481210/14161,367134165/1685159)
(794740,708496335)
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(-86183650467760/5740801624009,957088224703756637995/13754943468720691973)
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(-2862694659398335/245728260221284,313974336561575374015745/3851967894772506467048)
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(-965086985146409/147815529359481,160203886819608936499964/1797132484836337788621)
(33396400817887430/99044871632641,6103740783576758909075915/985707339276483842689)
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(14947635756730321/505606254776100,2098302929760852411085369/11368905506956404009000)
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(-12268310771862117524/1811525166453533881,216907799447276409739993963299/2438184453215881546355642029)
(-35094060241857554524/1774275583406925769,52146527141878145474266442101/2363369432396146632611665147)
(-111292442760296912665/8199620813184988009,1776486317589897919879376231420/23479597823912449233350446027)
(-84030904708415498026175/8212783522549176991744,62951459029625103763351593989752095/744278653698682288297525454569472)
(-94400426292273857103410/14029263521419615891249,147885020950592340363162425978519955/1661698812212810537526157030609193)
(79775939452561433759156851/6093911573829141874245225,1539169986737259548637175703100735526526/15043338297144483860388276991203859125)
(1244630424012970473290124962563609/32190614044877526395926822997056,46930000088443201609802212491968678768550673493373/182639156010243353463357002785146579974909832704)
#
# a = 8227:
#
(17/4,729/8)
(-79/4,183/8)
(-179/9,512/27)
(833,24042)
(-51/25,11332/125)
(609/16,16111/64)
(4409/121,316674/1331)
(24153/1024,4787875/32768)
(153377/6241,74886570/493039)
(1630049/25921,2115282786/4173281)
(2269529/25,3419035458/125)
(523533/48841,1049761952/10793861)
(-2422323/143641,3188898980/54439939)
(-872167/395641,22557436698/248858189)
(-7947143/944784,80225670349/918330048)
(41301753/59536,265434933133/14526784)
(70837553/1170724,607174502775/1266723368)
(-9040879/3422500,573652449831/6331625000)
(60125049/1008016,475162897229/1012048064)
(10155213/2785561,422926523972/4649101309)
(15959997/3286969,544270561696/5959274797)
(191211517/2996361,2685585104380/5186700891)
(-253993807/14730244,3147859951305/56534676472)
(-899174383/108951844,99564517813209/1137239347672)
(9615021337/9437184,942816268272131/28991029248)
(85106459129/5677471801,46065436806353154/427791822733549)
(89554000193/7877272516,68844318676932543/699139444885064)
(2777628253761/176776520704,8177900606897017697/74325334576955392)
(-2881496505203/326266012809,16180409016092011816/186362167718462373)
(-15132309594047/5392965820176,1134431723699760320927/12523955093015040576)
(-2087143748457439/104348635753924,15990175836036814329327/1065933627365352623032)
(10556025052997681/442538455413604,1374504480616312314185463/9309503586076911079192)
(25289194711527001/380945765980224,4077787117901249525921443/7435235461513327354368)
(557079976980705657/21757159789511056,507558142097388591679769165/3209248168033671612096704)
(-211164785873950188959/15555341246437040400,4642164062978003748283247196911/61350670625926919629391208000)
(-3939355405097146028756967/215291158450771342790656,4578500648364094069823115022766552963/99893974300681375155402435104866304)
#
# a = 8255:
#
(209/16,6553/64)
(341/25,12986/125)
(521/25,16444/125)
(-979/49,5734/343)
(20569/2916,14607683/157464)
(103481/100,33288371/1000)
(251681/289,126263656/4913)
(-664559/33489,128643904/6128487)
(-3992759/202500,2212357211/91125000)
(10575449/857476,79920630973/794022776)
(138912541/1089,1637239384754/35937)
(534470821/26842761,17673068577646/139072344741)
(2036264569/106007616,135192713157683/1091454414336)
(-13794112999/785905156,1175740241612509/22032065143304)
(-14233081639/797667049,1142954497130876/22528510464907)
(-338348104039/16863619600,29234178058571459/2189909641256000)
(8524988771321/6444236176,24890951451402216179/517317503264576)
(7885092680461/257033790225,25108439006213392166/130312276137221625)
(160427448833081/12435701492041,4472631805643182663964/43853618376876651589)
(463294087403369/72512650270096,56981479488922706638283/617476832565385201856)
(18217064005956221/21196876427943841,280403246689477658653808654/3086084419749569316580111)
(-933167316587246294779/55437193047847870249,24368736863341890099732578337566/412764034532926602602582217557)
(1543622055951810742649/50821052984881058884,69004656461346340106386570667437/362297626381977718701459617848)
#
# a = 8277:
#
(-17,58)
(97/4,1201/8)
(121/4,1517/8)
(-269/49,30892/343)
(2203/121,159232/1331)
(-1607/144,143405/1728)
(-509/225,306836/3375)
(10363/729,2078360/19683)
(39079/841,8037634/24389)
(201721/64,90599693/512)
(513799/841,368296646/24389)
(-593153/40401,580629410/8120601)
(1209193/13456,1337230283/1560896)
(14947753/79524,57827489995/22425768)
(-19109201/1018081,41906924834/1027243729)
(8429809/4536900,879515529623/9663597000)
(333609697/2748964,6107468863631/4557782312)
(154744321/19784704,8234440371967/88002363392)
(-322539647/23078416,8257446831937/110868710464)
(-298417823/36820624,19662443653009/223427546432)
(1790146759/49070025,81943342535402/343735525125)
(-1772024447/142229476,135093432388127/1696228730776)
(16683465991/8555625,2154912612089086/25025203125)
(34542299863/569347321,6537769913511338/13585196426381)
(216722244691/5343171409,106966062824227052/390569800483673)
(3107219355193/160270514244,8004652444315639565/64162377131414472)
(6608194770673/50727651984,17019068106508485175/11425287601052352)
(6070698232321/159656184900,16044009408453502369/63793821800493000)
(-22612239088559/1146077302500,29966046704255919239/1226933056191375000)
(-234870782439047/12271737634816,1529702115653364277837/42989173195474468864)
(324404948723809/11845436558400,6920765142813700656623/40768675911776448000)
(383976110089561/84733497806400,71358695030778627009059/779978625987736512000)
(3220944595062007/286758357791481,478110133385108992158830/4855949112097829556621)
(27244481306176993/82779317642596,4497469479668749638123023/753152224618078183144)
(-22970944959843473/5675896061362849,38747355471068499464071234/427613739482515637989007)
(-254313555888454151/12595896124473600,9649465469475310830176243/1413655560140091369984000)
(9801176606496203287/41345585423427321,30693909015686958338098308250/8407051704694391599253619)
(46894263233430197881/1368518213503796224,352615884527525573387550994483/1600943011419580594657722368)
#
# a = 8282:
#
(-1,91)
(23,143)
(-623/36,12025/216)
(1169/16,40391/64)
(-155791/11236,89258039/1191016)
(66257/33124,548897831/6028568)
(-1244047/81796,1614645577/23393656)
(1954759/119025,4629749527/41063625)
(-1789441/312481,15715295621/174676879)
(14174767/549081,64954394155/406869021)
(31817783/175561,179600182073/73560059)
(34187687/344569,200741909329/202262003)
(-26512121/1404225,65551557383/1664006625)
(39164399/2105401,370628165141/3054936851)
(91773007/641601,880412297635/513922401)
(108952817/73984,1137256056521/20123648)
(-151265503/8282884,1115867244401/23838140152)
(199738081/29484900,14841189036271/160103007000)
(1637185553/26173456,67355556562567/133903400896)
(46437782609/382750096,10030252453282009/7488122878144)
(142494210847/38040211521,677338477422021845/7419324814844319)
(2076486600769/20822490000,3004689480763891103/3004685307000000)
(2447304575249/212693056,3828529822133281031/3101915528704)
(1174768190257/91097726976,2807575174305792215/27495480346804224)
(1550240397377/104411704384,3626680196768143969/33738345214193152)
(3073729962887/96642022129,6042798555312135799/30043395345308617)
(36353506924927/9876583161,219189378236628965165/981544711123341)
(618212511804209/33124352901376,23179305159382857513769/190643105704109797376)
(8503531834169969/2381787236416,784149829488760976204041/3675821769109758464)
(3953164246070257/13036769596398276,135463823449017801117291145/1488521065760270329566024)
(467614525533355442087/516007389009190849,10111938191178807000272526473111/370666963983318349697895007)
(434996619023528742214711/6982585254702809577225,291771370716774570157240013456265209/583477845252340221986818944382875)
#
# a = 8289:
#
(-12,81)
(15,108)
(96,945)
(-2,91)
(-20,17)
(46,325)
(58,451)
(294/25,12447/125)
(25/4,739/8)
(-38/9,2447/27)
(870/49,40419/343)
(280/9,5291/27)
(-885/49,16794/343)
(2913/16,157329/64)
(7746/25,681831/125)
(-1295/64,1079/512)
(12579/25,1410858/125)
(-13710/841,1534113/24389)
(103/121,121184/1331)
(3151/81,188920/729)
(35844/289,6800895/4913)
(-17328/1849,6869853/79507)
(128868/961,46340721/29791)
(32712/5329,35908407/389017)
(-24303/3364,17355033/195112)
(36700/9,7030709/27)
(26944/1225,5898997/42875)
(59266/121,14428585/1331)
(23041/900,4274911/27000)
(-10709/1521,5285710/59319)
(431610/361,283555647/6859)
(167164/25,68346163/125)
(-298128/29929,442402587/5177717)
(33160/8281,68873293/753571)
(371560/289,226487521/4913)
(15196/13225,138479131/1520875)
(834081/37636,1011014865/7301384)
(356683/5041,215499466/357911)
(-455102/25281,199179379/4019679)
(4040268/128881,9148611609/46268279)
(3422130/157609,8516381391/62570773)
(-423197/22201,122105854/3307949)
(-3886230/203401,3325638033/91733851)
(-695258/42849,562173157/8869743)
(-2640711/183184,5704191315/78402752)
(-5083050/346921,14654729223/204336469)
(-3258327/234256,8483068629/113379904)
(356776/105625,3132624851/34328125)
(1364305/51076,1908896633/11543176)
(18413430/96721,79061081427/30080231)
(16668312/619369,81243314523/487443403)
(8024514/855625,75557491713/791453125)
(1867600/203401,8733087467/91733851)
(5149747/4489,11686380758/300763)
(24058977/334084,119311531983/193100552)
(43115734/142129,283151027645/53582633)
(72546351/5085025,1213134926724/11466731375)
(-168220956/10452289,2169096087375/33792250337)
(65788942/1361889,552887260523/1589324463)
(77820676/801025,689599013201/716917375)
(-13491494/2785561,420361634665/4649101309)
(127900257/15194404,5582964361167/59227786792)
(-101903144/5313025,430086241871/12246522625)
(202168702/6365529,3225068413073/16060229667)
(1097116755/1857769,36340258347126/2532139147)
(993396390/53479969,47415105180549/391099013297)
(1035581271/22705225,34750698244056/108190397125)
(-105708575/8737936,2085383907503/25829338816)
(-24716642/17969121,6933829071221/76171103919)
(70094158/22762441,9904736801159/108599606011)
(3369138936/130622041,238153361191245/1492879306589)
(1136043820/29844369,41067153304649/163039787847)
(-2131153160/109809441,36001667001313/1150693132239)
(1911259060/165405321,210931179137227/2127277833381)
(4680226234/85063729,328054932053765/784542772567)
(-2227471340/221325129,280738113291989/3292653944133)
(-1847261360/251952129,355344627612239/3999236143617)
(11979778522/3583449,1311212955759497/6783468957)
(10312489345/75829264,1048961872365121/660321230912)
(-4667030265/2469195481,11166249207527568/122696792646371)
(-21654147686/1085900209,678342546912635/35783669587177)
(175957783/776681161,1970677377615664/21645327275909)
(36552067138/388523521,7022937646804499/7658187122431)
(1186188996750/330476041,1291905882209755737/6007723949339)
(4796413309455/34423978369,10520570536236649476/6386921674649153)
(-646472484431/35596368900,322010428234047497/6715966920363000)
(828771232678/54774253521,1389756089806561459/12819311519801319)
(33320454297846/158838117025,192424896925007490981/63304137349728625)
(25323777192385/298045696,127436174429862621023/5145460895744)
(570809384506266/597413055625,13637624250585773040561/461755486018953125)
(-110706687179444/5571747807025,277384578029728203079/13151859969831196375)
(-97804146075101/5066942474169,377810540289632136050/11405621639102254803)
(-12099890011415/7107811938304,1724748145292421356939/18949767802491502592)
(-346646157919289/24649526999241,9082421801543772073700/122380686482114694789)
(2521860575674720/119702789529129,173941683328770091278011/1309653496795088306133)
(39815578894330752/387218292246769,7974967250196926713418247/7619628505925882574647)
(58222145325027633/290854060149136,14055832953777344989309911/4960354280986071560384)
(110894833396939308/3387008251564081,41058712549188155309829831/197117136707600650114729)
(830019507530915175/883199605369,756192645535322232146192976/830019507530916403)
(7114139815302592926/181409784341175625,20237090782257289259939837799/77266468053852898374546875)
(-49160878502934287343/6276288976424189284,1389429319955909978723416392807/15723687255572988498044188952)
(5043922881935941473/12172161292708151296,3866379519573550411823435734161/42466996639883185963447353344)
(184463096939384707360/8035261105693953769,3252228719920644854265487668251/22777181924653740923550817397)
(883467069459113822818/35214097306355051841,32427012981072823685510925798899/208965620063481763344055163361)
(-257647596630282438136640/15680636589150366657201,121884232244573693347484576612596633/1963566141252182827954990688925801)
(-8590097224578354007033535/744460557969727820509456,52783969833786104509514523309343781857/642336410134391068128611864183864896)
#
# a = 8335:
#
(-79/4,201/8)
(129,1468)
(-379/25,8706/125)
(941,28866)
(-831/49,20168/343)
(-2711/144,70453/1728)
(63809/196,16120383/2744)
(230369/3364,111995343/195112)
(-120259/14161,148088466/1685159)
(-673199/33489,89203004/6128487)
(7406129/1444,20155191177/54872)
(10797121/23409,35479737424/3581577)
(-930591/355216,19307348783/211708736)
(-4422279/440896,25057343411/292754944)
(54544661/299209,403113115386/163667323)
(41787129/71824,270130107277/19248832)
(-230239/3247204,534216321711/5851461608)
(268321161/8620096,4965570941221/25308601856)
(-784622799/56550400,32004770005801/425259008000)
(16727682221/174213601,2173645137210486/2299445319599)
(-15488990299/764135449,54525085439754/21122996216707)
(71384817461/1484175625,19774020293825166/57177865953125)
(46167040209/842160400,10167528189217177/24439494808000)
(87112650609/370331536,25719401229828983/7126660078784)
(499812991569/173580625,353355118430023628/2286924734375)
(859328303861/41447666569,1108172592100837086/8438206093783003)
(3103955252401/1616763681,5468565689696875544/65008450849329)
(661907322081/112198871521,3473119633415144876/37582246203545681)
(6559407281729/176106122500,18103775925026474817/73902934307125000)
(-13797312628719/682394949184,4694950688320116359/563707360462325248)
(26449084757021/7933872124369,2044766281806105025674/22347440753047779097)
(593790233897761/2859048120384,14476098051734024805839/4834284413409934848)
(-118368810403761439/7466913804625636,42561839741250103303054671/645225773647130047840616)
(110437910829926529/10824142651939600,109166069022965050802740417/1126134492745115315944000)
(2553425498055651653809/138023766163103876496,196378682935120879261114185440617/1621551739009182870269723547456)
(41126357841181510715201/3389877973287700788100,19855525163085562782114916886431551/197367707900490942831620234779000)
(738687935358942697564901/86830974293089481203225,2420695497123507936897650759820366726/25586566497542330115944445281952125)
(1891340922317841552302281/1065911457891022687296,2601088044924688551809520013230392699/34800196479334934572057836409344)
(13581153232125251323936874761/117870098678108639682241536,1587029390002379026666744066956699402341221/1279692046279520794058757486866091638784)
#
# a = 8363:
#
(41,278)
(-1523/81,30196/729)
(1241/196,254717/2744)
(9113/484,1305757/10648)
(23249/1225,5285818/42875)
(156721/576,62055593/13824)
(640301/2401,512474192/117649)
(-514187/47961,886951700/10503459)
(-783847/119716,3723881635/41421736)
(82697/309136,15718312549/171879616)
(-13414039/1263376,120209405237/1420034624)
(38238101/570025,239705867224/430368875)
(8227897817/1776706801,6889191664207274/74889968368951)
(69115652569/606636900,18221708322543997/14941466847000)
(-47513252047/2439964816,3771026308237015/120524502051136)
(-74929129019/3840404841,7280702196840892/237993728401611)
(-8875215521671/1859814062500,230433217019040057517/2536321427734375000)
(-56765658993647/3471562683369,408627282786362078462/6468260721968004597)
(262444343604197/97990201,4251633550018720557256/970004999699)
(-622789441504543/50866508069776,29310622676069259922991/362783801408255734976)
(-62230525341590047/3300882600142864,7732142259754193629912657/189646624697848809394112)
(3865129102840166797230649/150920474483886149160000,9299997622341414938777026507491226643/58630317076830775860515020536000000)
#
# a = 8396:
#
(22,138)
(-10,86)
(37,243)
(85,789)
(-2/9,2474/27)
(-506/25,1278/125)
(-599/64,44565/512)
(1361/4,50215/8)
(473/64,48029/512)
(5366/49,394330/343)
(3550/361,663126/6859)
(1277/121,130217/1331)
(14654/25,1773958/125)
(-8635/529,773987/12167)
(-34994/2209,6902850/103823)
(-43559/2500,6967011/125000)
(42605/1849,11419727/79507)
(197710/4489,92129382/300763)
(485545/4096,339184491/262144)
(71062/25281,368808758/4019679)
(-67895/26244,389164283/4251528)
(-679787/33489,34688789/6128487)
(7776070/34969,21692319042/6539203)
(-3887122/218089,5325201626/101847563)
(-10481474/588289,23619806670/451217663)
(30074110/76729,164937516762/21253933)
(5165705/276676,17767016411/145531576)
(17390950/447561,77540446574/299418309)
(-5450530/769129,60482496938/674526133)
(2449945/1149184,112946044797/1231925248)
(54596294/687241,406771928050/569722789)
(27448405/1471369,217772146533/1784770597)
(122679862/1681,1358813703942/68921)
(58768057/1267876,469125151533/1427628376)
(1461529/3204100,525530302083/5735339000)
(-68236379/3591025,266606161581/6804992375)
(355527397/1042441,6704332778883/1064332261)
(154001257/12432676,4448286571083/43837615576)
(6120685/13771521,4682861880191/51106114431)
(-131520427/16999129,6242452827269/70087408867)
(2347294622/119924401,165571707120962/1313292115351)
(3600067246/81812025,226398182429206/739989766125)
(8743271182/1442401,817543615367358/1732323601)
(1479225350/150234049,178061938512998/1841418738593)
(-784659314/410994529,763150554996930/8332092086417)
(4143065509/1134225,266675266548973/1207949625)
(7360391737/10407076,631475560688493/33573227176)
(20456630069/102434641,2927385564811195/1036741001561)
(19899763790/1513910281,6083789032762394/58904735123429)
(74069280646/12341169,20158452919895050/43354526697)
(44953927366/5558448025,39150204857377086/414410092503875)
(74272225990/11088300601,108885594360250014/1167609141585901)
(221284523822/2427631441,104669601431474642/119611828729511)
(-21415550795/23779798849,335992504114771227/3667011441107743)
(3216816317590/102558141009,6507248662557248678/32843936983709223)
(1935460660969/46244782116,2842639621106130955/9944755414917336)
(2110347077437/45487931841,3191991708114805913/9701620615116639)
(-1505482346903/194299350436,7627220582228456907/85645987876086184)
(-2801767875434/395999611225,22347017777623223886/249196615349724125)
(3425242485569/40344739600,6382576448095318753/8103644396056000)
(-21343007660939/1079360999929,28905500921211384885/1121372968129236467)
(49168027449389/1904827824025,420584979292578475537/2628957645467223875)
(-76799291340475/4409575810201,516635544883539073261/9259663834265269699)
(-149293774138255/8206930071076,1146071054360202309239/23510999887436676824)
(-246148930135207/20238373669264,7394890832775971302109/91046533532907310912)
(3102030386513542/28288452678721,173319469343767856830362/150457482089333916769)
(-1266454300063970/63486490201281,10822747366406840473106/505850259571865004321)
(9045627541597244894/56427141959152441,27233293371498497133159178630/13403927824574926302702739)
(2749824072200446074325/11204999727769,144197378247264080252115643601733/37507470423737489603)
(25235804168126420886905765/457080484217473209222481,129896448848046534930294417228485507219/309021729052288390626048858702743129)
#
# a = 8426:
#
(-79/4,215/8)
(1783/9,75329/27)
(-1481/81,35065/729)
(6191/25,487261/125)
(-16825/961,1647809/29791)
(71153/4,18979721/8)
(-136055/7056,21012571/592704)
(-716185/64009,1357354423/16194277)
(23947199/9025,117187741043/857375)
(-27576215/3526884,590494173173/6623488152)
(379764929/739600,7400921503967/636056000)
(-231107335/11505664,700182421363/39027212288)
(1701812753/31047184,71978470712441/172994909248)
(11397587543/8254129,1216802518378039/23714112617)
(111454049633/912523264,37294575160795759/27565502758912)
(-662904775279/72494485504,1708485571558020025/19518995232980992)
(-23323130181017/2352932041329,311567562802284092351/3609225987359668983)
(-961725896657257/57836587771369,27214714637294201367121/439849389955008785653)
(5824872983893217/3634505006364736,20117994922796847910506287/219112879949989922710016)
#
# a = 8433:
#
(6,93)
(-18,51)
(48,345)
(-8,89)
(222,3309)
(171,2238)
(321/16,8223/64)
(102/49,31515/343)
(-936/49,13119/343)
(241/16,6967/64)
(1011/25,34134/125)
(-512/81,65935/729)
(2683/49,142498/343)
(-1229/121,114382/1331)
(-11208/961,2465031/29791)
(36648/289,7030263/4913)
(16966/841,3146383/24389)
(-31551/1600,1770207/64000)
(68304/3025,23496783/166375)
(30022/1681,8192501/68921)
(111856/1681,37941713/68921)
(-110786/5625,11880937/421875)
(57504/13225,140343117/1520875)
(135952/7921,81876961/704969)
(56451/13225,140306574/1520875)
(534238/81,390483035/729)
(-604482/32041,237737775/5735339)
(2271393/1024,3423249807/32768)
(4865832/22201,10737657051/3307949)
(-2032704/201601,7790908263/90518849)
(3305224/289,6008988151/4913)
(1971168/237169,10961744673/115501303)
(9988446/21025,31569228381/3048625)
(7993494/223729,24600616539/105823817)
(7364118/279841,24169482195/148035889)
(90627/249001,11410217646/124251499)
(1117833/300304,15158518107/164566592)
(11724369/73984,40187765721/20123648)
(19999899/61009,89452746066/15069223)
(34361142/1466521,259167256599/1775956931)
(67053768/1216609,562737405417/1341919727)
(55332742/1159929,427286271655/1249243533)
(93722193/2226064,957217655847/3321287488)
(299902056/900601,5194200971643/854670349)
(-82195226/9641025,2646077215357/29935382625)
(598775673/2027776,14654376042675/2887553024)
(1377188046/109561,51108115486647/36264691)
(844970118/49519369,40339864694127/348467799653)
(837651043/8003241,24332459081590/22641168789)
(1791665038/840889,75837746215657/771095213)
(-1450568181/85507009,47116171099446/790683312223)
(-1405742354/69872881,9944121665483/584067412279)
(-198462581/48650625,31036204634822/339338109375)
(2827500142/22080601,150651790043239/103756744099)
(1598927238/206295769,279509376086313/2963026130147)
(11728076784/326416489,1380746803580691/5897366706763)
(-4957805288/245329569,51535159689655/3842597039247)
(-6141814626/641760889,1413250482588951/16257728601037)
(-4733900277/739785601,1818845461181670/20121428561599)
(-3419107346/591121969,1304565156179819/14371948432297)
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(-22485364296/5407396225,36359170945498983/397632881405375)
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(116625754486/11635721161,121947968237518673/1255133605915909)
(-174318345287/9257518656,37331234409501485/890721415005696)
(-195017294882/16619592889,176903762190421303/2142548056471213)
(569090483281/9932115600,438828360887283929/989834640696000)
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(1419813981214/22397217649,1719566698416876181/3351900401696393)
(-325668832031/33764797504,538589788961787089/6204349070955008)
(-506587913184/266998524961,12664218490674616713/137963210819322959)
(12004896007326/2235025,41594662376729928699/3341362375)
(19513550202312/2754885169,86199439169629658175/144595657865303)
(18335973539656/400915646041,81903153223671123797/253851367844594339)
(44749435291707/2317235929009,441066472996707141330/3527405441226163223)
(-75224889912288/4112098564561,400861340311273424049/8338640944272297191)
(128826600091734/9781600278025,3167095500507992243727/30592492857538478875)
(194057468319606/12803522396401,5000776107855328185243/45813576642324454601)
(-463852409031042/22940162788921,1415462429022899306295/109873951352025343469)
(435065344037803/3818374849,9074688686095726516562/235948837044257)
(1438787243189766/10600266198025,54667089085273016435439/34512399688860785125)
(8770661787739977/275252122844176,922248179472868601518779/4566632000521819023424)
(332353654792635958/4032193231199809,193039593916553255510468387/256042467790813525185377)
(262562427512819584/12533426517067369,186290067881624486785786349/1403152029245395026307403)
(143747632733610547/9147950147936889,97088427651106540712879090/874954932619561469643213)
(56230593879140132169/1832459451350995600,479254168255627990448116330053/2480570416906407668451896000)
(40971206944956143904744/201214808713173330625,8297264572825241437351696719648903/2854236201591052968456902609375)
(1289755564067708041897/596853586441575803664,1339838452609304304250380886197355/14581483534283125424198457563712)
(463356770847193200898254356518754809/18953869655508159131463313295888400,396111258508675759316573982154127332309223460136932877/2609437110804644408601050960439848286384407317848000)
#
# a = 8472:
#
(-2,92)
(94,916)
(73/4,965/8)
(217/9,4049/27)
(1594/25,64672/125)
(2089,95479)
(586/289,452432/4913)
(-2639/144,83177/1728)
(-37958/2209,6052376/103823)
(8473/2116,8993027/97336)
(156778/1369,62251400/50653)
(-93506/6561,39688604/531441)
(-90902/15129,169073720/1860867)
(-373823/18769,61451291/2571353)
(571729/35721,756990109/6751269)
(-770471/44521,538746991/9393931)
(-2303/84681,2268150875/24642171)
(6887902/91809,18257604236/27818127)
(4481497/209764,12969214621/96071912)
(24144058/159201,118779684472/63521199)
(-77407439/4906225,732603136691/10867288375)
(101902153/7623121,2193446430713/21047437081)
(-288251231/14899600,2017980694897/57512456000)
(915314209/7812025,27764894462677/21834609875)
(2735511481/86341264,161006107089197/802283025088)
(-4180387586/261630625,280478415206212/4231875359375)
(8286529546/339185889,948475016393248/6246786517713)
(15552247198/79584241,1940600327571452/709971013961)
(20327529361/100962304,2899694093924167/1014469230592)
(-63578582498/3299238721,6873715219937420/189504972895519)
(151911127006/161417025,59208844504016404/2050803302625)
(164493486682/4523504049,72353670304415336/304237311823593)
(-2469054854/11116539225,107881530681887056/1172072313187875)
(840651663946/96569929,770768785243324888/948992692283)
(297987598681/26140422400,421651327032996829/4226383493632000)
(-1172180890022/310481869681,15873170835272246152/173003292123080329)
(2209903678654/363771828225,20460126671516459708/219403521616485375)
(23362938328222/727569762529,126550645192636355284/620600273332698833)
(4725926943454/1240837817041,127637114190578397124/1382205228698664089)
(179634760256641/2350217773764,2430339443532135023167/3602982556326710088)
(317575564239121/47422901824,5659403039230256481017/10327190484408832)
(57874480881982/232145416669761,325561875104892673190980/3537041622768396249759)
(4997687436257017/18482441372641,353383823713197728541665/79458251836389748561)
(-18537845425126454/1003743864794889,1482210653174586444515752/31800529813690895322213)
(119792171153542186/355514682879409,41465865636338334126913312/6703263830615495997673)
(27042129275534573182/95127110080702561,140650536585451909786451432260/29339753104379245142814191)
(31852958031759443809/1540139057009138881,251532746952748567680594359509/1911348595141023852088565471)
(1337666298319646239609/108119106490021088400,114460399699443093226156108098227/1124226121546656510095566152000)
(-27054491292550891291751/4651780806937202915025,28861577927203746424288098991368943/317269894157812639045276330793625)
(-3134617784910448969466294/156995310407418646998409,1408040621342161683483670951162135048/62205676823386840837049913406280923)
(94782422863019915051329/1742568460491620385562500,211727735005566695038583007346092573983/2300301559835476533870587453953125000)
#
# a = 8493:
#
(7,94)
(427,8824)
(-791/64,41611/512)
(4279/49,281686/343)
(-383/196,252769/2744)
(-8237/441,411760/9261)
(15169/900,3111553/27000)
(58849/1444,15145231/54872)
(181447/31329,516846410/5545233)
(-473207/35344,518668763/6644672)
(1367569/88804,2916422681/26463592)
(8592577/242064,27474949855/119095488)
(-6845069/1792921,220518390208/2400721219)
(56015617/191844,419312451295/84027672)
(-15405341/3080025,494468808452/5405443875)
(390072571/5387041,7789727660908/12503322161)
(-1510856093/78659161,26164960327724/697628098909)
(-12228751871/603586624,197146075567361/14828916178432)
(33214852153/311451904,6074544308631277/5496503201792)
(32150792731/1667170561,8519890840770532/68072241176191)
(-75424045361/7068605625,50700315930683338/594293017921875)
(139824426847/6348424329,70047736837113970/505823405261733)
(537178911649/22391824,393711801179642609/105958111168)
(-400273508207/26770849924,314350264823644967/4380192922865032)
(2066467656043/31804085569,3016228036605394712/5671845208118753)
(97487228050051/10858837325625,3435264247113507615076/35782855168198921875)
(301045904141257/15552012508816,7696083774459744329989/61330978737816812864)
(1651122059690257/6971680475236,67113139859581275594599/18407983296730282984)
(-1203623962316543/85983299107524,60458036803660802906335/797298885333721730232)
(47624127474019777/9322441642995264,83600190580409256223397215/900107768888259981977088)
(-4321425557552798063/5654137228023908484,1238992461339912845640810596825/13444650504305035604794025352)
(-2699024716945243205309/165257440709959712521,136633802339476128383423381609888/2124425638503029427094157777819)
(47984933886131577460089937/13662916728189610894884,332397228275756984438315979427406470265/1597037567057780928455298007144152)
#
# a = 8543:
#
(17,116)
(-31/4,719/8)
(809/25,25748/125)
(-659/81,65222/729)
(7253/121,629830/1331)
(-8663/576,991189/13824)
(13141/441,1732618/9261)
(99857/256,31557241/4096)
(594233/1156,458087885/39304)
(-439399/27556,306463517/4574296)
(-592099/36481,455186042/6967871)
(-1078327/53824,279709957/12487168)
(7078361/244036,21881630467/120553784)
(60060257/1036324,475562406385/1054977832)
(9368713/6022116,1366232344325/14778272664)
(136518017/8271376,2716380268991/23788477376)
(751353649/6749604,20658904098551/17535471192)
(3376678121/15625,196216035108544/1953125)
(-2692825567/175483009,163213921788328/2324623420223)
(-21602562887/1073414169,696246679431928/35168268418947)
(100375552801/3187731600,35889254249230799/179979326136000)
(3529750793/10106683024,93911602998540133/1016045057768768)
(-435565495639/66295950400,1551332418728629141/17069881308992000)
(4682656478369/199430884,10133009470071261359/2816362943848)
(-4330069094383/465886788481,27976592714115577276/317995220458802879)
(29713345851853/1601518091121,247639315246132485610/2026738761012627831)
(22487145355904401/161380055567025,3377427805163856826649024/2050098797998202603625)
(182876080170302113697/9582800665360449604,3692396738290034445248938513105/29664612628581996193314378808)
(2087601221159367998733497/30234625824122157985936,3055167112596956745193098147125707091/5257229030209064529320655611029184)
#
# a = 8623:
#
(-19,42)
(557,13146)
(-327/16,595/64)
(1289/25,47712/125)
(-1839/196,242297/2744)
(-1567/961,2765700/29791)
(19737/676,3217501/17576)
(6169/1764,6896861/74088)
(-31751/2304,8570611/110592)
(160113/784,64100233/21952)
(694493/529,578765502/12167)
(2828113/26244,4772393927/4251528)
(3704577/45796,7188144481/9800344)
(-3770527/863041,74091121860/801765089)
(30123473/142129,165407099508/53582633)
(12823241/1104601,117176919888/1160935651)
(1022836809/163379524,196661074089691/2088317075768)
(11429141021/144600625,1232479712360694/1738822515625)
(10690668657/76807696,1107135050693111/673142647744)
(23789031753/675064324,4014396213759323/17539521266168)
(103830428769/22657600,33456999559045103/107850176000)
(139813849961/3344887225,55279035749038584/193451552657875)
(-54919877031/3447098944,13694896662907229/202386073200128)
(336376121817/11340546064,225026889155293085/1207677431447488)
(-280407355507/30628150081,475085315123181630/5360201917525729)
(152363462049/25293721600,378254380178851343/4022713483264000)
(-266268549643/142837887721,5011077665533450014/53984008447387019)
(-176273525441919/14784901672996,4731941845193298997087/56849632411460341544)
(487850366474193/22860504562756,14802906602386749312775/109302153208750129096)
(-189187924634399/28126751613156,13605256706276181610063/149169270870817998696)
(4858410910304361/58697908039936,341207577015763424665013/449711439740015906816)
(13516716003567401/1553433520331641,5898675037670445469399128/61226440019047092682061)
(127749647444450921/1969335436068025,46375964445206579373142344/87393582666800778689875)
(10660370937189121/3267014100840000,17375161562639040807255169/186735338572992552000000)
(-268851768093602847/27992653500242704,411958966951358332912735057/4683452312743588818860608)
(-614137917617739143/30618713622633444,126069493680805634687180755/5357724910626762958078872)
#
# a = 8673:
#
(-14,77)
(28,175)
(16,113)
(22,139)
(-77/9,2422/27)
(532,12271)
(343/9,6832/27)
(-14/25,11641/125)
(-173/9,1070/27)
(-623/36,12761/216)
(-1106/169,201271/2197)
(1726,71707)
(5152/121,390019/1331)
(-1631/324,539119/5832)
(-6776/625,1343993/15625)
(17542/289,2367995/4913)
(24199/9,3764404/27)
(64561/1296,16969897/46656)
(-57008/4489,24480085/300763)
(100681/576,31972283/13824)
(47044/49,10203719/343)
(186508/2209,81124673/103823)
(85834/7225,62477177/614125)
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#
# a = 8676:
#
(12,102)
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#
# a = 8680:
#
(-6,92)
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#
# a = 8711:
#
(25,156)
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#
# a = 8725:
#
(15,110)
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#
# a = 8731:
#
(45,316)
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#
# a = 8809:
#
(6,95)
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#
# a = 8828:
#
(-14,78)
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#
# a = 8881:
#
(12,103)
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#
# a = 8900:
#
(-20,30)
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#
# a = 8920:
#
(14,108)
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#
# a = 8961:
#
(4,95)
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#
# a = 9024:
#
(-20,32)
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#
# a = 9124:
#
(-12,86)
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(31043680/4297329,868324823594/8908363017)
(53777193/1196836,413720684501/1309338584)
(389243908/2461761,7688353787434/3862503009)
(-234132624/12952801,2644462361210/46617130799)
(287597040/12609601,6486981363482/44776693151)
(703306120/15129,18651621550706/1860867)
(-255718815/12306064,530736376559/43169672512)
(1060991205/2163841,34560855304673/3183010111)
(5109138988/193182201,446255861356286/2685039411699)
(8127314316/259886641,834858783671270/4189632539561)
(1590119652/374925769,696335660126482/7259687665147)
(-9833990060/552767121,768123420273242/12996107781831)
(8824931665/105390756,835440650564903/1081941501096)
(9342744297/148157584,919332153005963/1803374112448)
(2566229976/890724025,2542586828019026/26583658526125)
(9542400949/382476249,1174482793867465/7480088001693)
(16338653193/24840256,2088484921034779/123803835904)
(-26690421384/1279135225,286311452530414/45748271322125)
(-316414767768/19437099889,187941058722707882/2709862155224713)
(-143447305740/25024392481,374203778528271478/3958633670961871)
(-1205235197204/72535955625,1315833423766733906/19535746248703125)
(2741815478524/55114605225,4705237017673984018/12938980295647125)
(-2165452833671/109526578704,1354145156299105075/36247602168931392)
(-2430257623596/500718988225,33631438320458340458/354316266852833375)
(6225096472405/108838628649,15905888818247581849/35906625461705643)
(17515577250981/71751658225,73328505641563515871/19219757930439625)
(18997779756789/437615325625,87299748144339920663/289493478284078125)
(160747200258180/566492559649,2038458261820283646026/426374590467737393)
(337933209800892/3525145186369,6244298916640546277002/6618590517779693153)
(116385655118172/19311603883009,8202917406846036159562/84864785329071401473)
(-80152654717071/7939151522500,2012651309735566174967/22369750287372125000)
(-15529491155223912/16018580000991841,193645305786232063616712826/2027384033074351889007889)
(-11890714384707676023/678347074444631524,34158312922391911944577320997/558699052053813519919921768)
(714880496003997477996/9694125795726670321,19330150913576961130491054321370/30183039811948984710236424631)
#
# a = 9144:
#
(-14,80)
(73,631)
(-23/4,757/8)
(-170/9,1324/27)
(865/49,41509/343)
(4210/9,273176/27)
(2770/121,193528/1331)
(4438/121,321884/1331)
(6550/841,2391668/24389)
(-42239/2025,754741/91125)
(88273/121,26226899/1331)
(66409/1600,18174923/64000)
(266614/1849,137875060/79507)
(-39242/19881,267943204/2803221)
(-598535/47961,891273617/10503459)
(-5786783/293764,6166741393/159220088)
(20921494/104329,95749193420/33698267)
(450322/683929,54086816008/565609283)
(8853697/311364,31145524703/173741112)
(10979986/2146225,302857066016/3144219625)
(23058145/1592644,221808753361/2009916728)
(3474169/2640625,410376307697/4291015625)
(172772521/1838736,2283454501525/2493326016)
(107959585/9168784,2882080558799/27763077952)
(618808585/3944196,15411611265947/7833173256)
(144778513/20985561,9356425820531/96134854941)
(-223687991/21040569,8601266964905/96513090003)
(1497493366/46854025,65564073600164/320715801125)
(550003681/57214096,43346701557935/432767422144)
(132951965842/3007754649,50979372050990312/164954288215107)
(272886992374/107226025,142552347208439932/1110325488875)
(517813859158/43943641,372615147903639556/291302396189)
(-73359586583/9031081024,79627146677563787/858241691872768)
(-367727713166/18361605025,82953289200103552/2488089288912625)
(-17059788071/15461679025,183832032094030783/1922582478363625)
(280145311729/13775012689,214212474385161085/1616731914269863)
(3937089265522/12723163209,7813217133329889032/1435134640485573)
(-6884573944895/337707427876,5085666406547135137/196250566731868376)
(53236487644114/850425174225,395604318617450034112/784249339292681625)
(-18756240840215/1132955875216,81849118516620098293/1205922765403411264)
(-154074414145610/8811796330089,1612114122678150662756/26157526616590303563)
(21635088020142289/904818853162849,4111023313621798990010675/27217138400641102629743)
(-17697897033017975/1202645941622596,3219056711172014365085147/41706782301675148486856)
(131184805167254770/1905511159969921,48175562279674621683981872/83179679942303746649281)
(-19098567722409386/4774930925765625,31440818413703144718379612/329951905034964732421875)
(-72363012404151671/8687147232487689,74938522767308637174239095/809684402413433132382363)
(319411363563813615478/7339360275795887641,6016853366193167333641946688724/19883247130068196425698439811)
#
# a = 9149:
#
(23,146)
(641/16,17345/64)
(-1585/169,200446/2197)
(23153/1156,5152169/39304)
(235615/441,114371398/9261)
(-99895/8836,72902437/830584)
(-935245/52441,708087148/12008989)
(-495053/56169,1224734608/13312053)
(1946779/225,2716282792/3375)
(-1403575/85264,1704719941/24897088)
(-20137703/1871424,227590779907/2560108032)
(56832491/1635841,472879016660/2092240639)
(5326155865/15539364,388749765603709/61256172888)
(15098800649/361380100,1968226221211643/6869835701000)
(39626964857/3177351424,18860008215227213/179100945068032)
(-731402916767/45622396836,691022471393171791/9744670229788584)
(-30322945102841/11320849434609,3639558950584110446950/38090662087608868023)
(-90733945798135/12276992853316,4022776885722136873477/43016790517062679864)
(566266104310505/27160732867216,19102156764713195133323/141550766767851436736)
(946233749331623/12160277891281,29388257808846483302426/42404822491081560679)
(2617676359846769/24888848644,133928784209061999134935/3926514539774728)
(-384897782864239879/18450682672224100,21090600205139016079697581/2506216930114191120289000)
(-2330485937242819135/122743365150690064,2064334009410477898948206241/43002830140184465991719488)
(13765205343594663611/16307145051862890625,6298947524677927699097672971984/65851686411848900965087890625)
#
# a = 9192:
#
(58,452)
(1/4,767/8)
(-182/9,820/27)
(634,15964)
(481/4,10577/8)
(-1238/169,206084/2197)
(-16463/1024,2325481/32768)
(-43607/2116,2041067/97336)
(68881/3600,27489529/216000)
(188266/5929,92675428/456533)
(172393/5184,80024885/373248)
(-67559/7744,62932093/681472)
(301066/38025,729841364/7414875)
(1062202/62001,1840997260/15438249)
(440713/51076,1144720933/11543176)
(-2340182/151321,4362794188/58863869)
(16409242/543169,76755760396/400315553)
(-4706303/9412624,2768650401791/28877930432)
(311069161/6012304,5665511019787/14742169408)
(187513882/26224641,13129194789620/134296386561)
(678363049/1512900,17669140156907/1860867000)
(1595745274/4223025,63750316069268/8678316375)
(-194816726/163712025,200810337406732/2094695359875)
(-2627176967/183548304,196743477485555/2486712422592)
(16796754442/115842169,2180177452062596/1246809264947)
(10095125257/63712324,1015473870867301/508551770168)
(8476785226/826390009,2407631926711012/23756233588723)
(12146375977/221354884,1375392599106901/3293317964152)
(51264180097/1789966864,13690851038023489/75729918082112)
(201686819833/378380304,90579403605612275/7360253673408)
(66011924809/7542922500,65057573404541627/655102819125000)
(-307234979519/18485665444,170482199287026463/2513348045097128)
(35023319620321/530039329444,210545811578393637167/385888773329750872)
(-98923281955814/6358945673025,1181316245131412251316/16035321508938777375)
(339799684309801/655853783104,6263957583681976909483/531141874539208192)
(2314761178930426/22562262500625,111840693946186043184076/107170182821406234375)
(25350533244005929/724621255064100,4448470708367444265543467/19505927394606944439000)
(1373354189505254593/22150602266054656,1640178641418046913303104223/3296691501329091039330304)
(13030182445715177473/199343845490724,47035497826292425723848086785/2814519408288201916632)
(33997049775115432993/35260638875210896,198227577509112427637982582863/6621178029454127163674944)
(-67715449642547402582/4523583428186832009,735090635382884768145463424540/9621081788607976437377349723)
(64425373719300936143962/917998384721063209281,16568551341650248167759979969931500/27813963189452260164290917403679)
#
# a = 9213:
#
(-47/4,697/8)
(49/4,841/8)
(151,1858)
(1/16,6143/64)
(-821/225,323092/3375)
(-9197/441,110620/9261)
(8743/529,1425542/12167)
(3451/961,2866648/29791)
(50563/1369,12365608/50653)
(-163001/11025,89529182/1157625)
(586753/9216,457403905/884736)
(36003697/142884,216095466455/54010152)
(39542929/152100,248723644967/59319000)
(52744783/100489,383074372822/31855013)
(226581313/7772944,3994895210783/21670967872)
(-225370943/11316496,1380093572831/38068692544)
(496339291/185761,11057783658368/80062991)
(508756297/13808656,12487630704709/51312965696)
(-1689575009/204747481,272497763611202/2929731705629)
(15249544873/316270656,1959009902627435/5624557346304)
(29597098303/3477578841,20332026596832650/205076301832611)
(106164746929/5016888900,48578927479614217/355346240787000)
(-319293907697/18271199241,153766130228346790/2469736272605211)
(-290053895177/19420930881,207564479160043670/2706481506645279)
(924764220097/6096174084,890469149035737025/475977080130552)
(1008827581126723/44181824657481,42676538481686490433660/293673981770621415621)
(270466227214201/76077540395536,63847180304564169418573/663566870249721502784)
(689712258394681/93949596417600,89263462339976136386579/910630890172656576000)
(-3727143227979749/524463816380625,1130174076873162976282124/12010837640100559734375)
(-465189065130003329/26807776505948025,277176103091568218964609406/4389258827578957421410125)
(14301145032244153777/529978231343697444,65546504862828969690554954615/385822052644459155502726872)
(-229976969226721349436116129/19518516490316668081083225,7506309755705540622752588215290706208206/86232347468983523014241387660056252125)
#
# a = 9215:
#
(1,96)
(61,486)
(-79/4,311/8)
(1049/25,36032/125)
(961/196,265089/2744)
(3209/100,205573/1000)
(-1699/289,466394/4913)
(-21431/1024,227013/32768)
(46129/1024,10394793/32768)
(-8191/4096,25153537/262144)
(181381/6889,94762974/571787)
(546589/225,404102438/3375)
(1792561/1156,2400001161/39304)
(-1104839/104329,3019215804/33698267)
(1038769/104976,3432357143/34012224)
(776341/131769,4642309234/47832147)
(7417009/364816,29248013463/220348864)
(15632641/20164,61809157791/2863288)
(-9520519/537289,23797975324/393832837)
(-10478971/2706025,425963735042/4451411125)
(81634801/2241009,804826242944/3354790473)
(-188289919/9042049,369964178176/27189441343)
(411678401/1547536,8354941018079/1925134784)
(1220616289/10284849,42762440913652/32983510743)
(4004697001/8357881,253438554512604/24162633971)
(23998726729/277289104,3744097858890693/4617418159808)
(-4408160639/1523028676,5698199905542561/59437717109576)
(67193005849/845762724,17576821505872547/24596471539368)
(618324295681/150970369,486210682352959776/1854972923903)
(-663245389739/32970933241,196283455846159314/5986829086967539)
(2565485801/129830502400,4490686902671843701/46780526624768000)
(12705958026389/84632700889,45352545450209878198/24621091444525213)
(-2643086523839/2591942222401,400553615073862224864/4172899972896712351)
(239715164825041/6248744401,3711447005587155649056/493956996154649)
(-59175164946631/6121487498896,1380796052462364834157/15145563996218522944)
(309823548890881/17453595062500,8873272358267785605279/72916756772359375000)
(-130525246022239/16904103331600,6502900408065043872241/69500544683740136000)
(1295865127070809/38027251557376,51796109198983142278563/234499762107752218624)
(3317679120210421/14612538343225,191171203175200774223094/55858400509653897875)
(2889037384343249/116367459390625,196555944146097081177068/1255299422243943359375)
(2018112430772715521/13571211305873764,2870950453708370902460865311/1580985616674291920760088)
(41500105967400878081/10366163740432285696,3215004083976763771965363240959/33375447448706802463860064256)
#
# a = 9219:
#
(1/16,6145/64)
(-335/16,407/64)
(-395/49,31984/343)
(2221/25,105356/125)
(2857/64,160427/512)
(4957/9,349012/27)
(-320771/17689,134241680/2352637)
(1635229/71289,2777156360/19034163)
(-7333667/383161,11143162024/237176659)
(17657977/451584,79717089997/303464448)
(36574477/4507129,944989803668/9568634867)
(303825565/4076361,5354492116492/8230172859)
(-387221435/39350529,22442818314104/246845868417)
(5159822305/130233744,397161799592111/1486227486528)
(-504735503/281836944,454154326796087/4731478615872)
(42007334737/168792064,8612267791372967/2192946495488)
(-302088191/2416705600,11407158713008127/118805247296000)
(113793994945/10601536,38386544400117983/34518601216)
(-58367446583/3796038544,17476862651028997/233881526772928)
(87024662365/3399706249,31957985459382716/198226672260443)
(24034495733389/1060910300025,157771933787895244588/1092742913577250125)
(11389351946785/6588626516224,1624261229133489547441/16911897377892282368)
(1595585702685853/61571344321081,78829435716754202657584/483134391909343447021)
(-4941994960340325851/791283946791030625,66684515047160228821745032232/703879849608117559381140625)
(-36543677181116098414600871/2199293437850078734137600,221962747546347313077831247783726791133/3261555459002480211527865966042624000)
#
# a = 9277:
#
(-21,4)
(441/4,9293/8)
(891/49,42412/343)
(777/64,53861/512)
(5383/81,401138/729)
(-1263/196,260455/2744)
(-4577/441,836522/9261)
(-7161/625,1377562/15625)
(1753017/64,2321021651/512)
(773521/57600,1495221319/13824000)
(1810123/91809,3620765060/27818127)
(-1355151/256036,12378176681/129554216)
(7398447/100489,20356391794/31855013)
(-5330241/4020025,776233423598/8060150125)
(142699249/3218436,1793061274519/5773874184)
(534449433/5484964,12417283924195/12845785688)
(1118134921/8892324,37475913682747/26516910168)
(-2647938167/130782096,46748470082597/1495624049856)
(8502447927/126855169,795985961913274/1428769768447)
(93911551329/1943575396,29939133955985969/85684464908056)
(5271958235811/2360696569,12104814056533568168/114699164198003)
(2376458245233/218335645696,10487023909292941303/102020387150495744)
(-7149464379783/352560437824,6411002265361976269/209339106045880832)
(12032251056879/199670454025,42612435687488126242/89221744028801125)
(-3499363212191/461304489636,29459098202950521521/313315241533833384)
(21540260502453231/354552141498025,3226109819914117478616746/6676059048704844128875)
(29572462408441513/1234392615637776,6581101665452976535758443/43369056343978833513024)
(422369493830632299/180071466503041,274497864978774825570544996/2416391794078428894911)
(5800135724644405263/27220204981149961,13975435630908231958784653078/4490938285091162474916709)
(38412914434761914701602835014338679/464158364746571948889622659892225,7589990081196805254640551233149391650593465582860842/9999983240181982949824668691852489542027467045375)
#
# a = 9278:
#
(11,103)
(187,2559)
(107,1111)
(-31/4,751/8)
(1969/64,100329/512)
(3361/100,217359/1000)
(-6869/361,335247/6859)
(-1583/484,1023705/10648)
(10603/1681,6727815/68921)
(115873/64,39443343/512)
(96577/2304,31847455/110592)
(-16949/5625,40576049/421875)
(2211211/14161,3292106007/1685159)
(-801823/42436,439898351/8741816)
(-4357397/210681,2007158815/96702579)
(-15546623/972196,69049560129/958585256)
(13250497/1175056,131832118689/1273760704)
(-31442309/1600225,83272234239/2024284625)
(-72472751/4276624,587411398311/8844058432)
(127107691/7890481,2571283410663/22164361129)
(134327897/2910436,1628663027171/4965203816)
(123137633/4937284,1727360680657/10970645048)
(148183937/9024016,3173617159871/27108144064)
(412558267/53860921,38986036485639/395285299219)
(1035057907/11108889,33490645988165/37025927037)
(-3001987367/153660816,81293324231395/1904779475136)
(-5381099471/447660964,822512059961961/9471610676312)
(58569007001/2562789376,18896542580876477/129738649370624)
(13520524603/8934597529,81361840877088537/844524962233667)
(193772314361/9205156,85297752822813773/27928443304)
(301411859009/1553305744,165583122331635041/61218885982528)
(820476536539/11886450625,753598957263555087/1295920279390625)
(7040782647371/22485302401,18685168448686143367/3371693580332351)
(-2586749694727/286319167744,14158571715057916787/153205950829801472)
(26356878043667/842193479521,154441017457330901539/772890220284696431)
(55038388684843/1609394167161,453210357512687712065/2041708018949620659)
(110069946404921/87684009072676,79095918347425469939117/821070781172302174424)
(13767890149919539/1434755383767225,5478332685040382213961413/54345901160973270142125)
(2982274244526933739/168037386531613225,8399194333582271602049737263/68882496302938935606072875)
(-71375928261613695878693/8920815679368967713361,78886478313502830409846615176188481/842571663312788134420454843483609)
#
# a = 9284:
#
(56,430)
(5,97)
(80,722)
(-140/9,2006/27)
(412/9,8758/27)
(452/49,34418/343)
(2168,100946)
(433/36,22679/216)
(-5308/289,273022/4913)
(21404/625,3474542/15625)
(-8323/529,893203/12167)
(97901/121,30632645/1331)
(403016/34225,661550686/6331625)
(-582656/42849,729787150/8869743)
(354704/46225,980622142/9938375)
(-855124/46225,540087374/9938375)
(2827100/529,4753481074/12167)
(81436/95481,2842873370/29503629)
(-370735/37636,666315623/7301384)
(-2651728/134689,2009618638/49430863)
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(-33576160/2505889,328994945714/3966822287)
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(42299596/8874441,2562106868810/26436959739)
(497772520/9054081,11411730782162/27243729729)
(55500977/7463824,2007796629143/20391167168)
(261606929/3341584,4272038736505/6108415552)
(-354602060/28869129,13371134413526/155113830117)
(-283250431/16240900,4128618229247/65450827000)
(1382309956/13286025,51604887816854/48427561125)
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(-6973310120/334121841,84889746725858/6107413131639)
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(243680900541365/12055082593849,5543875134152540915929/41855765134395263507)
(75212362718519536/3433753848294081,28308003418128444356562670/201211935537013997311521)
(84701920557539828332/3185577731185854489,952790683005420565985603008442/5685678650769264837286617987)
(-329055245585990219623016/192917665661052058992225,8162241963941855780581480251464278898/84734056370951909255016818135204625)
(258306637551713110570423249/1072407764736343526784804,4152862641806381142990191844828892763495/1110554624019512346681133687431575592)
#
# a = 9297:
#
(-12,87)
(12,105)
(18,123)
(-21,6)
(114,1221)
(64,521)
(43,298)
(-114/25,11991/125)
(9/16,6171/64)
(1258/9,44695/27)
(1414,53171)
(-1818/289,467331/4913)
(2458/121,176977/1331)
(2356/169,240733/2197)
(-303/256,394905/4096)
(-3777/529,1149960/12167)
(2542/441,902105/9261)
(-15606/961,2109579/29791)
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(-24216/1225,1699923/42875)
(-34272/1681,1976577/68921)
(-27999/1444,2458257/54872)
(46593/676,10199073/17576)
(-49254/3025,11741331/166375)
(-21044/2025,8238979/91125)
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(195153/16,86211033/64)
(647391/625,520896936/15625)
(502851/13225,385558026/1520875)
(1041336/18769,1091180577/2571353)
(1515924/5041,1866768081/357911)
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(1008316/4489,1012915117/300763)
(1107268/3721,1165348243/226981)
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(-28343748/2093809,250139579889/3029741623)
(-4204961/776161,65366165924/683797841)
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(-39916574/2679769,339572864593/4386781853)
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(-188187744/19651489,7993161599097/87115050737)
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(6442909398/4661281,517158659185437/10063705679)
(974518471/115670025,123748328482856/1244031118875)
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(-304643367/270799936,429646219965213/4456283746816)
(-4874994447/263672644,233601879933975/4281516393272)
(1793007078/454158721,936300864621363/9678576503231)
(-13498089849/1527480889,5538446387376612/59698535584787)
(9769935961/4231242304,26555873995932067/275233849390592)
(-88250963597/4246216569,4946378574697750/276696210285747)
(-266499811602/14805779041,106051261677265677/1801552387929839)
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(-25816056122/9158298601,84405319967802257/876440017817099)
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(609074980816/17978787225,529130043398491739/2410685685064125)
(1334922036946/73855128169,2474699565011766697/20071091196591947)
(19039552334094/24609765625,83078655372509560953/3860656982421875)
(12869581231569/216383128900,47177649398196578247/100654940070413000)
(37853536974042/826773751441,243914163959012293005/751761395746509511)
(-26214090863442/1453478593609,102634218419547208785/1752318152890791227)
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(-504474049597526/23991530553225,7751323471872162007/117513275675709670875)
(4692427458777969/433638976,321437359061834597213559/9030098036224)
(-7311871611183702/354988141994641,158043156071312845128723/6688377376791348389689)
(4643275487939841/310912814598400,616059925212217452245889/5482238604225499648000)
(29133870971272294/3895832579726025,23967708227242359080683553/243164643274890310645125)
(16336168289839975674/457679276574000625,72463405610309458525533575907/309629172745860988474984375)
(-8550918234812068404/2255925250827226225,325748757012453225151076942769/3388340587662043354214511625)
(-209733104965511385349448327/10801506939345965688186916,1578198621169784163642678623705087812627/35499850447507902221467078181898311464)
#
# a = 9325:
#
(-21,8)
(71,606)
(39,262)
(-31/4,753/8)
(9/4,773/8)
(89/16,6237/64)
(-2221/121,74592/1331)
(7739/289,829812/4913)
(19499/625,3112932/15625)
(40049/64,8014857/512)
(-71/900,2607283/27000)
(-11551/2116,9317007/97336)
(247631/2809,124063254/148877)
(590969/1600,454346547/64000)
(174091/11025,133314236/1157625)
(287839/8649,172861262/804357)
(1166419/21609,1296550772/3176523)
(1761081/256,2337055379/4096)
(-1969089/121801,3035669066/42508549)
(4220001/20164,8673404849/2863288)
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(-5823529/286225,4600533606/153130375)
(-595959/274576,13886092261/143877824)
(38482529/11236,238723656783/1191016)
(16547769/1008016,118668881197/1012048064)
(-47941599/3247204,457269586001/5851461608)
(94498049/11916304,4077087380607/41135081408)
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(-276872221/14160169,2291631490992/53284715947)
(-42963039/9560464,2840660044559/29560954688)
(663369351/2927521,17092558265626/5008988431)
(3671812289/3118756,222495866611137/5507723096)
(5278778161/17189316,383592424725559/71266904136)
(-2538256169/177023025,188085471146146/2355291347625)
(-3014693351/276623424,412294844594557/4600800787968)
(16329710079/354531241,2184035430116942/6675468736789)
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(-109392410689/5237561641,5542788496418334/379047573520811)
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(-2677038737759/161801844516,4507227521295971311/65084144749182936)
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(-7804907138929/1077732583321,105818408182127460606/1118836226316279619)
(35317426568209/299217752064,210480319766403776377/163674504121024512)
(-121318691610751/7044989977600,1214474191937347311807/18699094198145024000)
(-60903368424751/18033407723776,7379760335246646199143/76580236438001790976)
(-830630917840249/87484725968929,75303776128601602051974/818273249492784776783)
(-2641766142158441/127789979362929,31986595190698484011298/1444591981879819934967)
(10461524046478401/68963358318724,1071449542782874483327999/572700554162461322632)
(-1553554918975111/1478959923733504,5492019068679056467304013/56876728569080449236992)
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(151517013389750699/4154059401672049,64396307707416288602684532/267737407478151090443657)
(909094178672348089/81636802991516304,2413464913043386808479950637/23325393724507069246118592)
(13616426212530575689/16627629514763556,50245641189767325190706508187/2144102330856230469838296)
(-7028347711494146454359/1033763626084448551824,3155091655646904455866571608013461/33237769412725624515080641791168)
(-3886433909135120537710951/682628124524877259227136,53921278773448568699108443569473791293/563996314573104556564339474389008384)
(1655203410832895663190876592500374741180307904746769/16137862860523512186300141050966890362818543096064,67630977168502097100657626136772366939202745014678407952537047336695609392903/64828956440820109987098564637827832753692849219732425653154751710550847488)
#
# a = 9382:
#
(3,97)
(-21,11)
(153/4,2045/8)
(4441/144,340003/1728)
(-225087/37636,699108383/7301384)
(1169419/19881,1293426611/2803221)
(1770657/484,2356143311/10648)
(-11453/56169,1289414519/13312053)
(16569969/1263376,153193675529/1420034624)
(-21576501/1442401,134573496091/1732323601)
(556533697/3526884,13144833207199/6623488152)
(386529547/24235929,13831445227139/119313478467)
(1245540267/16072081,44398703623525/64432972729)
(346700259/55726225,40807548510527/415996269625)
(-186967071/66912400,52954406331217/547343432000)
(1535069931/76650025,88557068436829/671070968875)
(5413659681/21529600,398441465745329/99897344000)
(56602503937/531118116,13518549638918335/12240148101336)
(-5912994268839/307900692544,8192696431769832413/170850399484355072)
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(-10768780217733/1180584383209,119117675891148024971/1282760419822589323)
(52966008065251/114240620025,385492829622564698999/38612758365349875)
(-64317045389813/3171323434041,182151086921790431005/5647559369132327661)
(75662340367729/7827651266436,2221016886995271947191/21900155747327042184)
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(-617646387803226620327/30170112975038838564,4692928318155990219000786956515/165716367367834857302135062488)
#
# a = 9467:
#
(13,108)
(29,184)
(-311/16,2949/64)
(169/36,21131/216)
(4657/16,317865/64)
(4937/49,348494/343)
(-8567/529,879030/12167)
(100801/169,32004198/2197)
(125761/2500,46227009/125000)
(-49487/7396,60900297/636056)
(-106223/5184,10969849/373248)
(-330079/15625,12285094/1953125)
(301733/29929,530348080/5177717)
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(-1489063/135424,4495643869/49836032)
(-873731/600625,45283571772/465484375)
(30412801/736164,178624955807/631628712)
(51485417/343396,369943545515/201230056)
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(-54248039/16785409,6679261029282/68769820673)
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(-284800759/48094225,32094417964586/333533450375)
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(12310597555957/158255182969,43625715782490639936/62955969102446797)
(1165970839489/574357842496,42371303938192152159/435285131945388544)
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(1399914861487039729/42953422591805625,1869157268159222285080208558/8902185960503593777921875)
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(11257558601074625849/2374373734540090000,357981726693053413569764516243/3658673199864945043027000000)
(169143794511381099257/12191389470219552784,4689712193451706120838893750669/42567663069198489399159205952)
#
# a = 9479:
#
(5,98)
(41,280)
(257/4,4193/8)
(7129/144,624995/1728)
(-6623/324,178577/5832)
(13985/4,1653841/8)
(15077/289,1912078/4913)
(2081/1225,4175396/42875)
(-378535/38416,695098403/7529536)
(-984383/56169,851999932/13312053)
(-2758123/142129,2496684358/53582633)
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(-24598207/1290496,74082823199/1466003456)
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(-27246095/4088484,792203590871/8266914648)
(-339764671/16096144,554679958175/64577729728)
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(-1618669075/396288649,765300454232986/7888918135643)
(-914005748671/70995602500,1621246949432673983/18916778286125000)
(1574409395873/83557996096,3071255306895424369/24153608583494144)
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(-66299068717939/4385091471721,712641005479499067370/9182649032363548981)
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(19006202561675905/41329109427984,2620379500853041054370879/265695421475559555648)
(24075588780817625/4226384873465104,27010255661908670792678941/274760036226903910287808)
(68630852177488700713/2578729505316028416,697002129450817441814865537109/4141032930209471319678910464)
(257535498576145043593/2313008739825546816,4147073750289117022594892664229/3517757605480692537631259136)
(14167361059634590166348425/163093181070343566901824,53709505607129363826809745005552405339/65864849732076696546853970372408832)
#
# a = 9551:
#
(-55/4,667/8)
(365,6974)
(-895/49,20168/343)
(1541/25,61714/125)
(-2119/100,6029/1000)
(-911/225,328688/3375)
(25825/144,4153553/1728)
(-206695/10201,36166076/1030301)
(8796065/61504,26130065167/15252992)
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(32063725/31329,181561138442/5545233)
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(-35352215/3526884,612230018923/6623488152)
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(-521622935/30437289,11286727176988/167922523413)
(38423705/123698884,134454015222173/1375778987848)
(-1102361431/190578025,254500359519628/2630929635125)
(17721011705/194546704,2373885309410317/2713537427392)
(31923193721/1365302500,7539220697111981/50447927375000)
(109008813925/205377561,35992025764972534/2943265826691)
(6281367767989/70609775625,15849207180407360638/18762782627953125)
(3799348476761/380861779600,24135035786802475741/235045038662344000)
(30603877347865/14874119463204,5608791097096590060067/57364986785499940392)
(-2797954479006199/344781207841225,607905467254123522859924/6401995729840100549125)
#
# a = 9565:
#
(-9,94)
(-29/9,2636/27)
(-2301/121,69008/1331)
(4449/4,296753/8)
(8641/36,803519/216)
(8529/676,1890823/17576)
(1118049/10000,1186239343/1000000)
(-537521/35721,529777198/6751269)
(695241/35344,870840059/6644672)
(906489/29584,996264077/5088448)
(1865841/40804,2673104809/8242408)
(1652599/173889,7403084722/72511713)
(2350059/664225,53066255252/541343375)
(-31997109/2235025,272086861064/3341362375)
(1320920289/1577536,48008535078703/1981385216)
(1224342639/38502025,48797912435162/238905065125)
(1618416601/250145856,392369640807779/3956306858496)
(894208329739/41211842049,1176655150596127348/8366292418841343)
(339956009352921/2304858366976,6277408893376443075299/3499180656142155776)
(-1292560576154591/83410081599744,58233247818159897237583/761776935163281174528)
(2854731385856961/44484017693956,155262935921601521653439/296692116868210532104)
(20586996318956769/532691846893924,3189214330344611912966513/12294590683949699403032)
(-196318841442692799/9667372213257616,32796027344091103307573279/950523065980197073414336)
(-253067233176519749/11954937978372321,11645919541454088561682904/1307136647884641013411119)
(-657444924714295571180222519/38120408012622340070789904,15674365831242346645210159959192441167099/235361980868978791330916916069721737792)
#
# a = 9676:
#
(-18,62)
(5,99)
(62,498)
(125,1401)
(166/9,3410/27)
(105/4,1333/8)
(-2338/121,66042/1331)
(-394/169,215970/2197)
(8246/529,1411770/12167)
(-5719/400,657429/8000)
(31142/121,5497218/1331)
(15414/361,2029150/6859)
(-4911/400,707687/8000)
(35358/49,6648706/343)
(4485/1681,6786179/68921)
(-9258/3481,20182798/205379)
(93645/961,28806191/29791)
(-42935/4356,26844229/287496)
(-152611/7225,9745287/614125)
(-73135/9604,90444633/941192)
(69285/6889,59127587/571787)
(5523838/106929,13430473694/34965783)
(11460161/1600,38795922591/64000)
(-4322915/205209,1682346023/92959677)
(-308698/919681,86756675718/881974079)
(15720389/156025,62623808787/61629875)
(11262545/438244,47360404647/290117528)
(26051625/872356,155256185771/814780504)
(107671422/78961,1117252928798/22188041)
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(-83287442/11512449,3766441452994/39061739457)
(234591741/970225,3594327656039/955671625)
(1365968838/3485689,50488922048354/6507781363)
(2780434862/4206601,146614311035898/8627738651)
(-538007411/26163225,4190605083937/133824895875)
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(-398631135/28430224,12609702187057/151589954368)
(-3784621978/185204881,85205976857142/2520453225529)
(2366452721/65286400,126273195185481/527514112000)
(2386524185/105719524,158194424580093/1087008145768)
(4815127145/3034564,334127456623563/5286210488)
(-6795688498/373301041,435338536343598/7212549413161)
(10140635022/134119561,1032535941606298/1553238635941)
(5783877349/44555625,440846098205507/297408796875)
(35085691665/989479936,7250138854926841/31125080866816)
(-64241469355/3015217921,354301019250069/165568631260031)
(313798672886/854568289,175800087110324790/24981594792337)
(175806696905/4231242304,78529134599094267/275233849390592)
(-88290074/12308349249,134322153546872710/1365525190731807)
(63748304925/8668913449,81010375473731257/807136524496043)
(722540925269/4188031225,614755539439955397/271028440725875)
(1972015078134/8078234641,2770191119372665850/726063651298439)
(-1837162459114/128044455889,3756656092409046630/45818531784128537)
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(9781883459806/162036036369,31259352996667145890/65225499971868153)
(1022470478181/218963164225,10131590805609438829/102460528251625375)
(48336728327102/116259858961,336081890191503277758/39641007850073209)
(171296435164645/2253358252161,2266488522173619565741/3382558886125668159)
(835826676948425/2330185984,24164306879674461779973/112482737819648)
(-2730633732088242/164035821676609,149491397242616937553954/2100912899388956229023)
(3861067341956305/397474767936,239917024626465850157159/250590352293858816)
(13429799371914625/18305955874116,1556358379996485731751361/78322874281375515336)
(24911318145362241/801313423950400,4520825525058928107179039/22683163722207468992000)
(-96290115732485562/6586235793763129,43262707948246387916572706/534510095412689423476883)
(-1648712247579865455/309655163724355684,16817110871494841457636586823/172312780283238315165897752)
(1889733850408077645/354492277878436681,20923361359782796501640991071/211062058090920504608196421)
(70468730530366879665/3189738283885080964,814836951880324141680189029737/5696821035227563586565783688)
(-18713707295429899516291050918075/919399478609661440183218734169,31084511760053786884939481703551153015339190253/881569141472569829964952992858338909252841053)
#
# a = 9681:
#
(-20,41)
(25/4,797/8)
(-110/9,2393/27)
(310,5459)
(466/25,15889/125)
(310/49,34187/343)
(2080/49,100687/343)
(4216/225,430361/3375)
(85411/1225,25315466/42875)
(-61841/3025,5610452/166375)
(96595/4761,44113994/328509)
(427240/1681,279341761/68921)
(991246/9025,990496669/857375)
(702655/16641,625723876/2146689)
(-291590/59049,1403010937/14348907)
(-1196375/246016,11934662251/122023936)
(-3566636/585225,43531808237/447697125)
(-30653810/1535121,78857689429/1902014919)
(-2859839/2102500,299921542591/3048625000)
(169536826/25,2207476415551/125)
(129147820/3316041,1583376548851/6038510661)
(455637484/4182025,9762219609773/8552241125)
(-123526175/10163344,2877210523823/32400740672)
(857811355/21911761,27075082268506/102568953241)
(2302800280/29800681,111658883080739/162681917579)
(3487081684/50339025,208894495005377/357155382375)
(17874268225/56881764,2390067384966017/429002264088)
(7465098250/1471719769,5592494004635777/56459585498147)
(51163744150/1798281,11572934040575839/2411494821)
(-131723562794/21881805625,314873329467503479/3236866097078125)
(-58639231040/496755726481,34448823668367839039/350117906825347129)
(51324817928350/54698451129,367700034562395434297/12792709654697133)
(-130487684953580/6142917637081,149306090963037749861/15225166077246524771)
(-296297900768546/26726056575625,12601469305081680720017/138166362830422953125)
(966509332519060/38513670001,30047550791565251637041/7558269224026249)
(211525948794946/28446488925625,15241754020566963614369/151720059847044078125)
(57940592084858590/9385365678341409,90542255529469419370945907/909236366566829820218673)
(-26123149376435306/18194593143402225,241438895515158717428199253/2454220180522798963320375)
(473153553393107290/47616308048061769,1072892341983881127717380777/10390431384272440137123397)
(15495705363668062681/139946433064222500,61215314109290177801796304579/52353141922692211548375000)
(-7015242146914356650615/26061827481880588160064,413968190494142647307822604582286117/4207336988562255479310138257920512)
(3782821455363467059135786/9640607805893759765625,7357979262326256374616335908187606159/946578472267268839185516357421875)
(514336718024968771457590690/750152640133216603411129,11664813937677236061993341833853761734047/649717348276258116838542208050422867)
#
# a = 9689:
#
(8,101)
(20,133)
(50,367)
(-188/9,647/27)
(-161/9,1700/27)
(-229/25,11806/125)
(1870/9,80909/27)
(1409/4,52895/8)
(3242/49,187657/343)
(158/121,131029/1331)
(23678/961,4676969/29791)
(-4789/841,2377690/24389)
(199078/1521,89016641/59319)
(-154000/10201,81442033/1030301)
(-347560/17689,107903279/2352637)
(534041/16900,446178589/2197000)
(654050/54289,1352806679/12649337)
(529001/33856,723902645/6229504)
(593600/134689,4887060779/49430863)
(5762830/6561,13834288153/531441)
(-4500232/373321,20321711431/228099131)
(-4831910/531441,36625873463/387420489)
(18756962/142129,81406144793/53582633)
(3418559/714025,59724892748/603351125)
(-4816580/1896129,256787353189/2610969633)
(-42907220/2187441,149727172787/3235225239)
(38630129/964324,257557363945/946966168)
(70410208/1766241,634390765109/2347334289)
(-31142249/2030625,225664619624/2893640625)
(99162809/504100,988096712627/357911000)
(-118125278/9529569,2595504893057/29417779503)
(-151381021/7102225,44509784942/18927429625)
(-33011530/14737921,5565982102873/56578878719)
(483345361/156816,10626405977575/62099136)
(-225311468/37124649,22007175518377/226200486357)
(2132695922/552049,98490296363353/410172407)
(2968093240/3767481,161703943958593/7312680621)
(179241239/145130209,172114882470560/1748383627823)
(6155006012/243765769,611164390213177/3805914951397)
(9769404169/104040000,971244361473947/1061208000000)
(348342580528/1002292281,205617445672534399/31731571324179)
(3513295474682/1341244129,6585247945508961233/49120383736367)
(3934350926849/44766096400,7859357035018132993/9471610676312000)
(7822566200612/2437693129,21878821971032554343/120356222858117)
(17944191715210/1585929679569,210775360640177089351/1997219924879385753)
(20226869771600/1725542332801,240946983565105874267/2266670682825060799)
(-5423875030840/2077400459761,294456106273134095053/2994196753262264759)
(-46061301637552/2610715924441,273280983340744035569/4218319079949959011)
(1559753404803290/1813808287729,61600923361858078553911/2442795284322799433)
(4676696991375401/5817116896900,319825360027836239091851/14030129730126203000)
(1126724243772230/231889760717329,349637194806653502803761/3531200348250953646983)
(-3960451867674188/311190662516409,479440629227217034114847/5489589067614977056173)
(8141748823954328/213948514666441,796610232484815142040839/3129420431107224511739)
(1334494061468553259/14739233513510025,1551641301956854298680958402/1789420255819895395081125)
(1219089983884001159/31218482197375729,1451405762180889396681294160/5515916416147843446832183)
(-435790252115128996790/20447420593173761889,262709707612287695882820854671/92460831653276144111613805713)
(6863681530644819036359/818151769834339970929,2372659222430037454336356021102440/23401883408072806516077761710967)
(19882385850649160324179/1660912960746683009025,7228638252649600913159459410995658/67689344918371812083772671642625)
(5908164473846125551139648/1833313210057149749721,14360809730227672572703267252047745039/78497351099019356850316114514019)
#
# a = 9766:
#
(-13,87)
(153/4,2051/8)
(235/9,4483/27)
(491/25,16461/125)
(-2311/256,389235/4096)
(13913/484,1949469/10648)
(-4749/529,1156985/12167)
(-24085/1681,5693691/68921)
(132545/64,48255327/512)
(116025/3364,43973677/195112)
(413907/361,266290433/6859)
(-88143/18496,247203863/2515456)
(-582175/33124,397009647/6028568)
(1841345/70756,3114903009/18821096)
(27089715/12769,140996027287/1442897)
(-39819871/5290000,1175831290383/12167000000)
(-61760997/3736489,523330617691/7222633237)
(-52660269/5040025,1050842145871/11314856125)
(1305437267/3463321,47170839447183/6445240381)
(2261892721/138384,107574170257655/51478848)
(-217048095/67305616,54473885459281/552175273664)
(-60140911271/3010716900,6999467254083683/165198036303000)
(-91019249607/6976926784,50622858356273389/582768740413952)
(486209993435/927872521,339039703714587099/28263924862181)
(2305507575251/131721529,3500659182064701615/1511767988333)
(2205492791891/124985582089,5458532210490148065/44186527792670437)
(1903678531795/132998066721,5465689957310737049/48502931954414769)
(6095816642683/257959362609,19853251924170009149/131016786391023273)
(26515999704779/1836025,136540663296279238083/2487813875)
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(339745948582041/17237775385600,9446580465605944089661/71568485356949504000)
(1706063959503593/341696364304,70468167825475443979659/199737926361174592)
(9412687491982787/127353730282321,924188222475213770323473/1437200982500053822631)
(55434374801182209/2832507838116100,19806194854985189789924927/150749777729806774091000)
(-163865053788031862175/26019655522322827024,12947460460479332239577597799697/132724871600427273092508680768)
(-229341994581767542253/476713809745226222481,1028590440347870781055349019258473/10408462923745358494864332243129)
#
# a = 9774:
#
(3,99)
(75,657)
(129/4,1665/8)
(-15/16,6327/64)
(-501/25,5193/125)
(217/4,3293/8)
(-287/16,4049/64)
(2523,126729)
(-101/49,33895/343)
(-2895/484,1041111/10648)
(-3605/169,18071/2197)
(23817/1024,4899483/32768)
(70635/1681,19971153/68921)
(18235/729,3138481/19683)
(72939/6889,59862825/571787)
(109123/361,36053819/6859)
(-285063/13924,56753523/1643032)
(-56735/4356,25004753/287496)
(34129/4900,34491367/343000)
(318225/21316,356217273/3112136)
(2031321/18496,2905789725/2515456)
(2003259/112225,4674811527/37595375)
(5475585/7744,12813028479/681472)
(5868705/3844,14217198129/238328)
(-4550991/547600,38867676777/405224000)
(-35929581/2211169,243482964885/3288008303)
(102353403/707281,1037176388919/594823321)
(-66098607/3118756,87794655129/5507723096)
(90161931/1809025,889272560079/2433138625)
(26400955/212521,135998371583/97972181)
(21609595/720801,117266563943/611960049)
(159582513/4227136,2191411281879/8690991616)
(-280405239/13278736,914936395365/48387713984)
(112677139/233289,1196113942045/112678587)
(59310705/31629376,17592134812407/177883610624)
(-518451837/55190041,38777675945301/410006814589)
(-996507285/66113161,42835802358537/537566112091)
(-97983581/20133169,8878266528515/90337529303)
(3975123099/97515625,268098487978257/962966796875)
(-236114837/53275401,38272208698889/388857151899)
(8334546321/33292900,761128852778631/192100033000)
(13840573521/82992100,1630002372521319/756058031000)
(24021138963/776161,3722977345579029/683797841)
(1131443425/173501584,229122011082961/2285362864448)
(7065056883/1311960841,4735431366034221/47520533621861)
(29156198971/175960225,4983820421235769/2334112384625)
(55627820715/5880895969,46476614671391871/450988269174703)
(70130335323/8643606841,81589088524549311/803604771614611)
(440076428193/2143134436,292103761163785551/99214265580184)
(504335559153/1682968576,358226935462002249/69042102861824)
(608122599969/28473187600,671202849156427953/4804565675624000)
(289623272617/6366124944,163755307068329323/507940377031872)
(246537127123/15168631921,221578447256256709/1868183876022281)
(-169198470629/20242175625,276085363421469169/2879955537046875)
(3012363037873/53683036416,5370967333145379689/12438144805441536)
(-22324172230725/1447586766649,136099469679854612049/1741674151401110893)
(96710139280011/1576443469225,970982740162622238759/1979327244437487125)
(28318629225961/29311494436,150699112457456181835/5018303716409816)
(215176603301355/583666968361,3156711740021764516887/445910474155405141)
(-1683876921027135/89347336426384,46870246211592084313761/844544261111332182848)
(-396763313999471/24362101896804,8880613322149338895495/120246413818041389592)
(1529488012628065/220755263716,59816241728142748555823/103720977635907736)
(5479066897583835/157797889668169,450429231975252267745071/1982219691911687621947)
(-68195425368262559/6274319152360000,45793484084751292954400239/496992584649927016000000)
(-441829814885017055/28722783671144676,381255745221802152235987057/4867879184225881949366424)
(2909501823799410339/213180803094814489,10923472102928517999324788805/98428788784036079141205763)
(1779895220051904193/108094877280845316,4240714427703579702640461281/35539201780789678300431864)
(-22670592975964122351/1219117521045902500,77832704340875048217966595143/1346072213732175177986375000)
(23806839872503562011/925328765607411025,145728557699875542495854949241/890110849947913350166657625)
(824388183049002562065/2214749633600994064,23672208987312035428346644313991/3295998138630719900716071488)
(379610438994450502067401/5787741360407377643776,237904126737877374314573988708005755/440315195084171336519990892670976)
#
# a = 9817:
#
(48,347)
(54,409)
(33/4,815/8)
(-164/9,1657/27)
(43/9,2690/27)
(562/9,13589/27)
(1122/169,220901/2197)
(15774,1981129)
(-7881/625,1381028/15625)
(83871/25,24289456/125)
(-63942/3721,15631493/226981)
(200196/2809,90780673/148877)
(-248076/22201,303571679/3307949)
(384672/120409,4146654479/41781923)
(4171404/361,8519681929/6859)
(-3029826/151321,2490407419/58863869)
(1065528/167281,6867550643/68417929)
(-3782568/196249,4480984751/86938307)
(6251818/385641,28414426933/239483061)
(11183112/908209,93556374061/865523177)
(-16850906/1185921,107651314439/1291467969)
(-25969329/1357225,83842148344/1581167125)
(-60255186/3806401,568011825481/7426288351)
(102042436/2424249,1096539338017/3774555693)
(98075937/1779556,999352599215/2373927704)
(-164682111/10627600,2705099302463/34645976000)
(232663258/23532201,11854231991477/114154707051)
(2528211208/24710841,127703097380737/122837590611)
(3775702561/61779600,236940823685809/485587656000)
(-2458449191/260499600,398348280785123/4204463544000)
(5028345723/357474649,758675509429270/6758773188643)
(28689707922/759388249,5283323670443891/20926461977693)
(16895347552/1661948289,7063072062060059/67752645897663)
(-30615751071/1801153600,5354064596883217/76440958784000)
(419589822604/267028281,271792812561540769/4363509139821)
(298351495233/2391405604,163375648530305665/116944516846808)
(740332333014/996728041,637008573610281101/31467700982411)
(870362938257/47940854116,1319469865090008025/10496841772114664)
(1521697862974/143308430721,5693564860344146231/54250982842172481)
(191750796273/142040041924,5304689836444156055/53532335080400968)
(9038705754378/60112742041,27213571131854865853/14738381980870339)
(-7303583782568/501387199569,29116606014569666339/355025757981214503)
(22544828081799/478843240225,111967382498910672532/331352339587096625)
(46145045496048/548768342521,316041152878922833823/406521551687789069)
(-23290053337386/2943074060521,487464486693955232909/5048958330712135819)
(248648198330841/495813139600,3920982249158571223139/349121864117944000)
(-150027398342711/7276398350400,636559761871691633413/19627939022236992000)
(-291785071563917/15870845695329,3795044986207029810230/63226640110502662767)
(4433883657426039/54044478735025,297853661559465735767788/397307715198142612375)
(60099529543275316/174978211452489,14735307818014880432042087/2314600057553357175237)
(33375805880943054/1804704945548761,9740721889126551087402629/76667148845207320476259)
(-7586851060152982476/449400641568973081,21314382984970537590115452239/301266285035443749836511229)
#
# a = 9836:
#
(-10,94)
(70,594)
(29,185)
(262,4242)
(-122/9,2314/27)
(-311/16,3195/64)
(-335/16,1641/64)
(349/25,14007/125)
(5438/169,456386/2197)
(613/289,487491/4913)
(862/1681,6835398/68921)
(21493/2209,10768149/103823)
(77417/256,21544267/4096)
(49805/2209,15151487/103823)
(164993/64,67019071/512)
(128485/9801,106684019/970299)
(32182/25281,398699938/4019679)
(1168582/22801,1308583902/3442951)
(-42899/24025,369214401/3723875)
(661150/54289,1364850822/12649337)
(4611814/30625,9918185262/5359375)
(3067369/8836,5372792715/830584)
(3670190/146689,8971339622/56181887)
(-1217090/358801,21272882394/214921799)
(-619354/235225,11303972806/114084125)
(-4804714/253009,6955987090/127263527)
(-1574671/136900,4618652233/50653000)
(16308350/218089,66629078078/101847563)
(113782726/1129969,1219540988670/1201157047)
(32579045/499849,189228948467/353393243)
(-46624570/2253001,105509439094/3381754501)
(-47335727/3175524,457059037159/5658783768)
(405093670/717409,8153518265262/607645423)
(98961886/12271009,4375334029770/42985344527)
(304326865/3771364,5358432156903/7323988888)
(451242925/12047841,10444274394191/41818056111)
(177248261/19829209,9069613245725/88299467677)
(4387549630/288369,290625062530618/154854153)
(-1876374823/94750756,41959871336803/922303858904)
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(21036046705/113252164,3053368509842697/1205229529288)
(12176903641/72590400,1345108489500061/618470208000)
(13396330745/19149376,1550547340707469/83797669376)
(-18921520666/3048254521,16486962285274330/168297180358931)
(60808671397/1263162681,15642126554940557/44894064845421)
(-46028890711/2179956100,2092264889746837/101782150309000)
(142124665093/7619020369,84977073231307341/665041430948903)
(359153428453/11792439649,249914877259901571/1280576398803857)
(1982233164169/34190228836,2860385600683561125/6321978453149416)
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(-1565315593367/109632507664,3020858394099214389/36300200347611712)
(-3331569429506/310901032225,16081309409644504278/173353752053176625)
(2309142804677/130538412601,5847390683441657213/47163659011153901)
(-16821973576658/833990859361,30746581198327831302/761626306485105391)
(19361971880941/316096950625,87001075291157536239/177717608065140625)
(-45827318477234/2154979960225,46805701981570332186/3163478256910896625)
(27010052925325/1140237416761,185166323111323988529/1217567178128314259)
(-37170760858474/2228287635025,239725560585912241774/3326265225745393625)
(-181461529377155/19743065962489,8349786317739365243847/87724700623248736013)
(1671879396707590/70179205553809,89849488757684556225438/587912469223540797127)
(-372996903564611/30744485442441,15295238957108627565895/170471131291169026011)
(265809788123802046/9678898488620449,166431191658282899895930390/952223516016074420905457)
(-36091277892264070735/2028458945237489284,187305370059536915160784556137/2889011917847155895121538952)
#
# a = 9926:
#
(-5,99)
(-47/4,729/8)
(163/9,3401/27)
(7291/9,622565/27)
(1513/324,584011/5832)
(71731/169,19212705/2197)
(44185/4356,30111229/287496)
(170545/23104,356897367/3511808)
(883009/10816,837284895/1124864)
(19987/58081,1394566263/13997521)
(-771245/40401,442504999/8120601)
(2798209/19600,4688778177/2744000)
(-558725/239121,11642183981/116930169)
(9893251/38025,31126543001/7414875)
(53725771/1155625,412790525181/1242296875)
(27082105/944784,168029772877/918330048)
(-25483583/1806336,204823138337/2427715584)
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(274527115/23068809,11939287232573/110799489627)
(-8729902655/416404836,226621932697441/8497157083416)
(45796201921/33039504,9800427080894815/189911068992)
(97707461041/17556100,30541587326578089/73560059000)
(-71549043935/4400730244,21901572441977103/291935642926472)
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(-229366989893/10841182641,24097091740092883/1128794777763561)
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(-1077849093263/50325743556,113832248810308937/11289775354891704)
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(44303005940491/1147330188225,319291894354172595211/1228945521164385375)
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(-8417408720507981837/1101017547971831889,112480250991659809473908088521/1155290923111624858840440537)
#
# a = 9941:
#
(-13,88)
(-5/9,2692/27)
(2503/9,125254/27)
(-2071/100,32533/1000)
(3857/16,239623/64)
(11321/784,2498285/21952)
(-158663/12996,133514227/1481544)
(605135/9409,479451742/912673)
(455401/39204,832729195/7762392)
(1062425/30976,1222568579/5451776)
(1132055/34969,1369624862/6539203)
(-98935/68644,1792889413/17984728)
(5644943/66049,13518233246/16974593)
(-38507701/1836025,66529231468/2487813875)
(153309599/3025,1898252679382/166375)
(-260771143/13498276,2591595381197/49592666024)
(2707331195/51423241,145586937671444/368756061211)
(289880185/260887104,420168913985843/4213848503808)
(-1429253020213/72328185721,917497360029580652/19451869939620019)
(2774375108479/206414840241,10429921435918667750/93780247951853289)
(8774132787305/301759054276,30799940575831388629/165764094249217976)
(60494661299225/1073988159556,483426665592640021091/1113010445345307704)
(405937168745959/773194869225,8179055286002725899302/679881846432580875)
(569492692884521/20485834672384,16436681912485204952875/92721509914048049152)
(26990134195185475/982383711686001,5393168042462436823628104/30790853657758041029001)
(-10854348978912545/1437656346440721,5316027015211923078982774/54510809162782464912519)
(34905670678716515/3828569208937489,24503218495433176969612352/236894377573474601807737)
(459788234481819161/75332157948100,311771771292696723124002659/653838685016318621000)
(139691902413008746583/662208678902774809,1651911162065824603847831096974/538880294058339815968522877)
(827536157109633180337/220386892868222976,23805675435746929763684417604713/103461469616465604167860224)
(-289880222442526231895/31623964616210529924,17030521456594026667071720816203/177837962142959798314840024968)
#
# a = 9980:
#
(34,222)
(-11,93)
(26,166)
(-86/25,12462/125)
(-179/9,1241/27)
(746/49,39866/343)
(3769/64,236973/512)
(-3326/225,277282/3375)
(9169/4,877977/8)
(-9251/529,828063/12167)
(-15206/1369,4699998/50653)
(27529/100,4568667/1000)
(53794/81,12476942/729)
(29249/676,5301473/17576)
(-9571/1369,4972847/50653)
(2546/3481,20517754/205379)
(99874/9409,96484638/912673)
(99209/3844,39285157/238328)
(-101179/6889,47191909/571787)
(1248281/1936,1394686589/85184)
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(-12739246/1682209,213168871022/2181825073)
(52440589/2544025,555458396313/4057719875)
(112094314/1320201,1196429848318/1516910949)
(148012369/7529536,2739134137767/20661046784)
(433025074/21169201,13261739019198/97399493801)
(-278471651/13097161,909325953423/47398625659)
(1571856394/724201,62318861553342/616295051)
(1627970194/82174225,99259204898622/744909349625)
(4890615514/1570009,342015157379358/1967221277)
(3987689089/32672656,252505399841343/186756901696)
(7187926034/2401,609404138408722/117649)
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(2078624546/239785225,382850537329094/3713074209125)
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(4513360841/53728900,305756478815611/393832837000)
(5669674769/37356544,427519788472327/228323196928)
(11445027121/55442916,1225099777313879/412827952536)
(-23768054966/1105097049,204523304156018/36736741199907)
(-10130275331/3046929601,16770954244483983/168187467045599)
(685849901509/20020269049,634586466398056443/2832727928550157)
(-418596229819/19468899961,17301669481038011/2716515080458291)
(-13169730590606/623090788321,11405302275078885042/491843567759852881)
(-4213688178011/294897872025,13458438078114990763/160142814913816125)
(-2354904034631/662377865956,53733364462887107283/539086824254145896)
(-22578144054694/1590986163649,169355743332783654694/2006779260615520607)
(21359609981149/1989338172721,297178215773200095777/2805840142994434519)
(13656522842009/1597331988736,207896313749154593603/2018797617955926016)
(87483375567274/6672286787929,1906321577399041558638/17235030539303277533)
(200020995148474/40722533979241,26114435957831050427502/259867633508342081461)
(5308369506605509/472036326601609,1095108731752016883066843/10255648630168217972773)
(63570267040110809/927676362528400,16274712930956565673265123/28254962561090250952000)
(-71964318459694091/4041139432981849,16909685430796927990426893/256895059985660522710493)
(-10875019719840326/6890823962714169,57132925177209417740643938/572014098388154367574803)
(996780023063018392549500139426/64332764985376971418409484921,1909866275589896401126621109401589630883142166/16317301052411744436675282312829452598740531)
#
# a = 9998:
#
(-71/4,531/8)
(19/9,2701/27)
(283/9,5473/27)
(-767/36,3905/216)
(3577/16,214029/64)
(1963/121,158985/1331)
(10387/121,1066941/1331)
(78211/4225,35106291/274625)
(-155909/25921,412720407/4173281)
(9883513/16384,31072550067/2097152)
(11441521/156816,39196256887/62099136)
(-4459751/736164,62450369981/631628712)
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(78296179/6325225,1734963433533/15907940875)
(-92983349/8404201,2265132425193/24363778699)
(-242704487/14760964,4225994415747/56711623688)
(285492907/6395841,5087755048751/16175081889)
(-549985877/31036041,11512093500505/172901784411)
(239494339/32455809,18856067459219/184900743873)
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(-1107728063/262634436,423982866648671/4256253669816)
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(-10087011167/1078334244,3392651293605937/35410339904472)
(58203961417/2078630464,16940222709604155/94768920114688)
(-68218208711/4973352484,30206058135083181/350730763876648)
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(16764533598889/97226723344,68708473126606048149/30316459059339328)
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