# There are 4320 of these fractions with single digit and double digit conics. [[1/819, true, 4*y+4*x-4*y^2-4*x^2+4*x*y, -54705240+60175764*y+60175764*x-5470524*y^2-5470524*x^2+5470524*x*y], [4/3003, true, -36*x^2+24*x*y-18*y^2+72*x+18*y, -263121200+294042540*y+1150875660*x-30921340*y^2-56885980*x^2+44021920*x*y], [1/693, true, -144*x^2+72*x*y-48*y^2+432*x+48*y, -642169200+743977960*y+8072148040*x-101808760*y^2-268358080*x^2+169800340*x*y], [2/1287, true, -400*x^2+160*x*y-100*y^2+1600*x+100*y, -949881600+1208840490*y+34844135040*x-258958890*y^2-870509700*x^2+473959944*x*y], [5/3003, true, -900*x^2+300*x*y-180*y^2+4500*x+180*y, -460685000+1024609740*y+113145578700*x-563924740*y^2-2262727300*x^2+1096800700*x*y], [16/9009, true, -1764*x^2+504*x*y-294*y^2+10584*x+294*y, -1195930736*y+304402502404*x-1105203424*y^2-5074014244*x^2+2241469984*x*y+2301134160], [17/9009, true, -3136*x^2+784*x*y-448*y^2+21952*x+448*y, -7858358640*y+716138018640*x-2005324560*y^2-10232556120*x^2+4189248180*x*y+9863683200], [2/1001, true, -5184*x^2+1152*x*y-648*y^2+41472*x+648*y, -22710527730*y+1523193103080*x-3428809870*y^2-19043998060*x^2+7316418280*x*y+26139337600], [1/429, true, -36*x^2+48*x*y-72*y^2+36*x+144*y, 1981462890*y+905717010*x-87021670*y^2-54423310*x^2+53954680*x*y-3614839100], [2/819, true, 512*y+512*x-256*y^2-256*x^2+256*x*y, 7702497792*y+7702497792*x-350113536*y^2-350113536*x^2+350113536*x*y-14004541440], [23/9009, true, -900*x^2+720*x*y-600*y^2+2700*x+1200*y, 19111078910*y+40468992410*x-922270630*y^2-1310596330*x^2+1149592936*x*y-34533075300], [8/3003, true, -2304*x^2+1536*x*y-1152*y^2+9216*x+2304*y, 37637445120*y+147312084480*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-67359027200], [25/9009, true, -4900*x^2+2800*x*y-1960*y^2+24500*x+3920*y, 63553262850*y+423051448050*x-3747374550*y^2-8416182150*x^2+5844015000*x*y-112117027500], [2/693, true, -9216*x^2+4608*x*y-3072*y^2+55296*x+6144*y, 95229178880*y+1033234949120*x-6515760640*y^2-17174917120*x^2+10867221760*x*y-164395315200], [3/1001, true, -15876*x^2+7056*x*y-4536*y^2+111132*x+9072*y, 128298283542*y+2244236939802*x-10643732086*y^2-32016849826*x^2+18695579656*x*y-214021638740], [31/9009, true, -144*x^2+216*x*y-432*y^2+144*x+1296*y, 17186785000*y+7526365000*x-501745000*y^2-282190000*x^2+222272500*x*y-47044650000], [32/9009, true, -900*x^2+1080*x*y-1350*y^2+1800*x+4050*y, 57620747360*y+32917168460*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-157552033200], [1/273, true, 8748*y+8748*x-2916*y^2-2916*x^2+2916*x*y, 131604395868*y+131604395868*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-358921079640], [34/9009, true, -7056*x^2+6048*x*y-5292*y^2+28224*x+15876*y, 248954936230*y+417798100720*x-7829434210*y^2-10022202580*x^2+9192506440*x*y-676399900800], [5/1287, true, -14400*x^2+10800*x*y-8640*y^2+72000*x+25920*y, 417780231440*y+1099263822800*x-13789450480*y^2-21533582200*x^2+18083895700*x*y-1129235640000], [4/1001, true, -26244*x^2+17496*x*y-13122*y^2+157464*x+39366*y, 643071034980*y+2516965068420*x-22541656860*y^2-41469879420*x^2+32091979680*x*y-1726338193200], [41/9009, true, -400*x^2+640*x*y-1600*y^2+400*x+6400*y, 83230380090*y+40963433940*x-1828116810*y^2-1059626880*x^2+629674344*x*y-303671651400], [2/429, true, -2304*x^2+3072*x*y-4608*y^2+4608*x+18432*y, 253627249920*y+115931777280*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-925398809600], [43/9009, true, -7056*x^2+8064*x*y-9408*y^2+21168*x+37632*y, 543668515390*y+356045549860*x-12103719610*y^2-9667057720*x^2+10086179080*x*y-1981014547800], [4/819, true, 65536*y+65536*x-16384*y^2-16384*x^2+16384*x*y, 985919717376*y+985919717376*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-3585162608640], [5/1001, true, -32400*x^2+28800*x*y-25920*y^2+162000*x+103680*y, 1611178453170*y+2391699647700*x-37612776730*y^2-45496829200*x^2+42676493800*x*y-5842909385000], [17/3003, true, -900*x^2+1500*x*y-4500*y^2+900*x+22500*y, 289155762060*y+163919463180*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-1318056213800], [4/693, true, -4900*x^2+7000*x*y-12250*y^2+9800*x+61250*y, 824672397780*y+355101890220*x-14448008340*y^2-8349690060*x^2+7475954400*x*y-3762161780400], [53/9009, true, -14400*x^2+18000*x*y-24000*y^2+43200*x+120000*y, 1685371035920*y+870599610320*x-29741740240*y^2-20482974040*x^2+21179593300*x*y-7683311673600], [6/1001, true, -32400*x^2+36000*x*y-40500*y^2+129600*x+202500*y, 2951227769490*y+2103589968480*x-52753432810*y^2-44191434820*x^2+45886102600*x*y-13437303027200], [61/9009, true, -1764*x^2+3024*x*y-10584*y^2+1764*x+63504*y, 809758303354*y+525789093214*x-12002067094*y^2-8314155274*x^2+2971450984*x*y-4426475404740], [62/9009, true, -9216*x^2+13824*x*y-27648*y^2+18432*x+165888*y, 2199908480000*y+963374720000*x-32111680000*y^2-18060160000*x^2+14225440000*x*y-12043430400000], [1/143, true, -26244*x^2+34992*x*y-52488*y^2+78732*x+314928*y, 4333459340430*y+1980803100870*x-63438797430*y^2-39674592990*x^2+39332961720*x*y-23716959335100], [71/9009, true, -3136*x^2+5488*x*y-21952*y^2+3136*x+153664*y, 1948808434320*y+1432710726480*x-24939664560*y^2-19074917880*x^2+5588228340*x*y-12419615476800], [8/1001, true, -15876*x^2+24696*x*y-55566*y^2+31752*x+388962*y, 5101216901352*y+2351305906092*x-63898436776*y^2-36121558036*x^2+24741986656*x*y-32577494907440], [9/1001, true, -5184*x^2+9216*x*y-41472*y^2+5184*x+331776*y, 4191291453690*y+3448238412960*x-47294753530*y^2-39789167260*x^2+9916952440*x*y-30503467403600], [92/9009, true, -8-4*x^2-4*x*y-4*y^2+12*x+12*y, -808416192+109816388*y+94309028*x-3517636*y^2-2812756*x^2-2948036*x*y], [31/3003, true, -144-48*x^2-32*x*y-48*y^2+192*x+192*y, 1679047392*y+1242576192*x-40498168*y^2-27271768*x^2-20764112*x*y-13748320424], [94/9009, true, -864-216*x^2-108*x*y-216*y^2+1080*x+1080*y, 8915203440*y+5612658480*x-171192528*y^2-96134688*x^2-62851464*x*y-76920790752], [95/9009, true, -3200-640*x^2-256*x*y-640*y^2+3840*x+3840*y, 29657302400*y+15509014400*x-471006400*y^2-213764800*x^2-136434560*x*y-263403288000], [32/3003, true, -9000-1500*x^2-500*x*y-1500*y^2+10500*x+10500*y, 75270178500*y+31492378500*x-1015820500*y^2-352520500*x^2-249273500*x*y-679766858000], [97/9009, true, -21168-3024*x^2-864*x*y-3024*y^2+24192*x+24192*y, 159665603328*y+50300556768*x-1868182056*y^2-447856776*x^2-410794416*x*y-1455582583512], [14/1287, true, -43904-5488*x^2-1372*x*y-5488*y^2+49392*x+49392*y, 297456317312*y+63180182912*x-3064367488*y^2-402138688*x^2-631635872*x*y-2724588109824], [1/91, true, -82944-9216*x^2-2048*x*y-9216*y^2+92160*x+92160*y, 501249070080*y+55239275520*x-4602316288*y^2-97166848*x^2-921611264*x*y-4598185068032], [34/3003, true, -20+2*x^2-8*x*y-4*y^2+6*x+24*y, 121489632*y+24491808*x-1367712*y^2+1571616*x^2-4627584*x*y-1146052800], [103/9009, true, -180+12*x^2-36*x*y-36*y^2+24*x+216*y, 1122622072*y-54251912*x-13868572*y^2+12878564*x^2-23291132*x*y-10373169780], [8/693, true, -816+36*x^2-96*x*y-144*y^2+60*x+960*y, 4263242060*y-835366840*x-48221644*y^2+44480336*x^2-58583696*x*y-39625536576], [5/429, true, -2600+80*x^2-200*x*y-400*y^2+120*x+3000*y, 10277506800*y-3232904400*x-103528800*y^2+101174400*x^2-104382000*x*y-96245658000], [106/9009, true, -6660+150*x^2-360*x*y-900*y^2+210*x+7560*y, 17387108200*y-7333587800*x-155803000*y^2+165245000*x^2-140007200*x*y-163697605200], [107/9009, true, -14700+252*x^2-588*x*y-1764*y^2+336*x+16464*y, 18385542032*y-9627333232*x-147327772*y^2+171000356*x^2-123197684*x*y-173602794540], [12/1001, true, -29120+392*x^2-896*x*y-3136*y^2+504*x+32256*y, -3203954028*y+1994956128*x+23112108*y^2-29402136*x^2+18502128*x*y+30277851840], [10/819, true, 4*y+4*x-4*y^2-4*x^2+4*x*y, -54705240+60175764*y+60175764*x-5470524*y^2-5470524*x^2+5470524*x*y], [16/1287, true, 80-32*x^2+52*x*y-8*y^2+24*x-72*y, -897075344*y+385913968*x-24550096*y^2-53708944*x^2+89876344*x*y+12889396800], [113/9009, true, 312-88*x^2+112*x*y+8*y^2+160*x-320*y, -5727300480*y+3649155840*x-26822448*y^2-197303472*x^2+261910368*x*y+65995261488], [38/3003, true, 848-188*x^2+196*x*y+52*y^2+540*x-900*y, -21284640300*y+16972286100*x+9107924*y^2-570542476*x^2+626773252*x*y+230181119896], [115/9009, true, 1880-344*x^2+304*x*y+136*y^2+1344*x-2016*y, -61458490016*y+57293102944*x+135948776*y^2-1406279704*x^2+1324426864*x*y+646145310840], [116/9009, true, 3648-568*x^2+436*x*y+272*y^2+2800*x-3920*y, -151207499520*y+159185537280*x+438746112*y^2-3088447488*x^2+2559041856*x*y+1564504962048], [1/77, true, 6440-872*x^2+592*x*y+472*y^2+5184*x-6912*y, -331595345664*y+386178173568*x+1042356704*y^2-6207880864*x^2+4614182464*x*y+3393704300320], [40/3003, true, -60*x^2+40*x*y-30*y^2+120*x+30*y, -386391680+431799456*y+1690053024*x-45407776*y^2-83536672*x^2+64645888*x*y], [11/819, true, -108+216*y+216*x-108*y^2-108*x^2+108*x*y, 3249491256*y+3249491256*x-147704148*y^2-147704148*x^2+147704148*x*y-22303326348], [122/9009, true, 28-322*x^2+392*x*y-238*y^2+630*x+210*y, 5078291240*y+9029403020*x-371718832*y^2-443557228*x^2+558772528*x*y-19047192168], [41/3003, true, 1008-864*x^2+976*x*y-384*y^2+2256*x-624*y, -2890785216*y+33571881024*x-736151296*y^2-1288615936*x^2+1559902144*x*y+109427783872], [125/9009, true, 10300-3820*x^2+3380*x*y-460*y^2+17040*x-9840*y, -140080263664*y+311157731984*x-1874768836*y^2-7002473332*x^2+6933180028*x*y+1743592761900], [2/143, true, 22572-6798*x^2+5368*x*y-198*y^2+37026*x-22374*y, -360290642184*y+752921461116*x-2582784688*y^2-13827351388*x^2+12444168208*x*y+4219400664232], [10/693, true, 120*y+1080*x-120*y^2-360*x^2+180*x*y, 1476726064*y+16022452336*x-202080784*y^2-532665472*x^2+337037656*x*y-1274645280], [131/9009, true, -1344-576*x^2+384*x*y-576*y^2+1920*x+1920*y, 25538395520*y+30040757120*x-750248896*y^2-832110016*x^2+571828864*x*y-247703004864], [4/273, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [19/1287, true, -2880-3264*x^2+3456*x*y-2496*y^2+10752*x+5376*y, 97037018848*y+155160048736*x-3748850968*y^2-4503695512*x^2+4977259888*x*y-844081465800], [134/9009, true, 576-6912*x^2+6948*x*y-3888*y^2+27504*x+3312*y, 99264678656*y+402216818432*x-6532973824*y^2-9975611776*x^2+10809932224*x*y-652822889472], [15/1001, true, 11200-13120*x^2+12160*x*y-5440*y^2+63360*x-5760*y, 11347547904*y+970462031616*x-10388214144*y^2-20076239232*x^2+20547184896*x*y+639177920640], [20/1287, true, -1360*x^2+544*x*y-340*y^2+5440*x+340*y, 2984166900*y+86016902400*x-639270900*y^2-2148957000*x^2+1170026640*x*y-2344896000], [47/3003, true, -7000-2000*x^2+1000*x*y-2000*y^2+9000*x+9000*y, 114115254000*y+148745454000*x-2552692000*y^2-3077392000*x^2+1647346000*x*y-1307751362000], [142/9009, true, -16468-4094*x^2+3496*x*y-4784*y^2+16422*x+21252*y, 293091680728*y+263595272248*x-6180653416*y^2-5797583176*x^2+4748535904*x*y-3334753919952], [1/63, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [16/1001, true, -32944-17516*x^2+17632*x*y-14036*y^2+78300*x+46980*y, 783322794540*y+1137402363240*x-20586893548*y^2-24163454848*x^2+25349084176*x*y-8611266040832], [50/3003, true, -3900*x^2+1300*x*y-780*y^2+19500*x+780*y, 2976458100*y+328684240500*x-1638183100*y^2-6573149500*x^2+3186170500*x*y-1338275000], [151/9009, true, -24840-5400*x^2+2160*x*y-5400*y^2+30240*x+30240*y, 373755967200*y+529356643200*x-6832917000*y^2-8853705000*x^2+3957886800*x*y-4814697850200], [152/9009, true, -59840-9928*x^2+7412*x*y-12784*y^2+49776*x+72624*y, 962340444032*y+852870685568*x-16016887552*y^2-14772913024*x^2+10162401376*x*y-12297820085760], [17/1001, true, -102600-19608*x^2+18544*x*y-23256*y^2+93024*x+125856*y, 1776241729152*y+1488562149888*x-30251084512*y^2-27345230176*x^2+24618497728*x*y-22530702914720], [160/9009, true, -9324*x^2+2664*x*y-1554*y^2+55944*x+1554*y, -3940266176*y+1002923370064*x-3641344384*y^2-16717495504*x^2+7385033344*x*y+7581610560], [23/1287, true, -69972-12348*x^2+4116*x*y-12348*y^2+82320*x+82320*y, 1001539227920*y+1525313728400*x-15581226388*y^2-21533209348*x^2+8400197596*x*y-14169776326692], [18/1001, true, -168260-20962*x^2+13912*x*y-28858*y^2+126054*x+197118*y, 2551424561136*y+2299421616228*x-35497468296*y^2-32951984004*x^2+19451006064*x*y-35712585937080], [170/9009, true, 2800*y+137200*x-2800*y^2-19600*x^2+4900*x*y, -28624489344*y+2608570825344*x-7304501376*y^2-37272629952*x^2+15259559328*x*y+35928990720], [19/1001, true, -168448-25088*x^2+7168*x*y-25088*y^2+193536*x+193536*y, 2329889227776*y+3789156197376*x-31675145728*y^2-46415216128*x^2+16281822208*x*y-35711072665088], [20/1001, true, -37440*x^2+8320*x*y-4680*y^2+299520*x+4680*y, -89790822396*y+6022262583216*x-13556517124*y^2-75294430312*x^2+28926990256*x*y+103347339520], [61/3003, true, -144-24*x^2-32*x*y-24*y^2+120*x+120*y, 1114938660*y+1031009430*x-21145072*y^2-18601762*x^2-25281896*x*y-14817080372], [184/9009, true, -2048-256*x^2-256*x*y-256*y^2+1536*x+1536*y, 14056497664*y+12071555584*x-225128704*y^2-180016384*x^2-188674304*x*y-206954545152], [185/9009, true, -10800-1080*x^2-864*x*y-1080*y^2+7560*x+7560*y, 67762153800*y+54067706550*x-933921900*y^2-684931950*x^2-596234520*x*y-1063220620500], [62/3003, true, -36864-3072*x^2-2048*x*y-3072*y^2+24576*x+24576*y, 214918066176*y+159049752576*x-2591882752*y^2-1745393152*x^2-1328903168*x*y-3519570028544], [17/819, true, -98000-7000*x^2-4000*x*y-7000*y^2+63000*x+63000*y, 535932743500*y+366654499750*x-5734219000*y^2-3535800250*x^2-2451893000*x*y-9046057348500], [188/9009, true, -221184-13824*x^2-6912*x*y-13824*y^2+138240*x+138240*y, 1141146040320*y+718420285440*x-10956321792*y^2-6152620032*x^2-4022493696*x*y-19691722432512], [3/143, true, -444528-24696*x^2-10976*x*y-24696*y^2+271656*x+271656*y, 2171279580624*y+1250464555494*x-18883970644*y^2-9582808774*x^2-6096292664*x*y-38090749524212], [191/9009, true, 8+4*x^2+4*x*y+4*y^2-12*x-12*y, -134494228*y-115502068*x+4308116*y^2+3444836*x^2+3610516*x*y+990082752], [64/3003, true, -28-2*x^2-8*x*y-2*y^2+18*x+18*y, 104225088*y+114189438*x-859612*y^2-1161562*x^2-4597448*x*y-1840277768], [193/9009, true, -672-16*x^2-104*x*y-64*y^2+272*x+464*y, 3828337128*y+2114708904*x-43113168*y^2-4167072*x^2-87788988*x*y-61907784624], [5/231, true, -16600-380*x^2-980*x*y-1340*y^2+5220*x+10980*y, 91669301988*y+28121623332*x-952271284*y^2+10572332*x^2-873315068*x*y-1524710008640], [28/1287, true, -47892-1066*x^2-1976*x*y-3406*y^2+14378*x+30758*y, 249159310092*y+60604633782*x-2358308304*y^2+90453726*x^2-1755053784*x*y-4240190373408], [197/9009, true, -114688-2432*x^2-3488*x*y-7232*y^2+33408*x+71808*y, 559627323728*y+105170120528*x-4822085992*y^2+342200408*x^2-3074630828*x*y-9708208423728], [2/91, true, -241072-4826*x^2-5624*x*y-13604*y^2+68742*x+147744*y, 1101147553638*y+150075724194*x-8667508198*y^2+939277958*x^2-4910388728*x*y-19399399744724], [67/3003, true, 40+8*x^2+16*x*y-4*y^2-48*x-12*y, -53837784*y-557013996*x-5934168*y^2+9313596*x^2+15131232*x*y+4467567960], [29/1287, true, -936+24*x^2-144*x*y-36*y^2+240*x+540*y, 1805222540*y+859356740*x-6031876*y^2+11165684*x^2-53580704*x*y-36201293136], [68/3003, true, -5120+128*x^2-512*x*y-256*y^2+768*x+3072*y, 15550672896*y+3134951424*x-87533568*y^2+100583424*x^2-296165376*x*y-293389516800], [205/9009, true, -17400+360*x^2-1200*x*y-900*y^2+1680*x+10500*y, 56066071600*y+2974302100*x-347108800*y^2+342394700*x^2-762044000*x*y-1039241163000], [206/9009, true, -46080+768*x^2-2304*x*y-2304*y^2+3072*x+27648*y, 143695625216*y-6944244736*x-887588608*y^2+824228096*x^2-1490632448*x*y-2655531463680], [23/1001, true, -103880+1400*x^2-3920*x*y-4900*y^2+5040*x+61740*y, 300612476340*y-38446881660*x-1789389900*y^2+1635452100*x^2-2494199520*x*y-5567313034080], [10/429, true, 120*y+30*x-60*y^2-30*x^2+40*x*y, 1756793082*y+803021538*x-77154646*y^2-48252478*x^2+47836984*x*y-3204967580], [211/9009, true, 160-16*x^2+104*x*y-64*y^2-144*x+48*y, 1452811624*y-1564492952*x-92108272*y^2-23533168*x^2+118179652*x*y+13097463120], [212/9009, true, 756-54*x^2+216*x*y-54*y^2-270*x-270*y, -2389501620*y-4255121970*x-115397784*y^2-81477414*x^2+317686536*x*y+110226537936], [71/3003, true, 1656-108*x^2+292*x*y-12*y^2-228*x-804*y, -14120506092*y-5171093004*x-105642796*y^2-241239964*x^2+639179716*x*y+362561558128], [214/9009, true, 2056-118*x^2+248*x*y+32*y^2-42*x-1092*y, -40597306442*y-823472342*x-32602738*y^2-549146038*x^2+1119680968*x*y+903323100876], [24/1001, true, -8100+354*x^2-536*x*y-234*y^2-774*x+4518*y, -199021310136*y+58139817318*x+510379628*y^2-2087207518*x^2+2999873272*x*y+4061574334840], [20/819, true, 512*y+512*x-256*y^2-256*x^2+256*x*y, 7702497792*y+7702497792*x-350113536*y^2-350113536*x^2+350113536*x*y-14004541440], [17/693, true, 32-272*x^2+448*x*y-368*y^2+240*x+720*y, 12768528080*y+4844080010*x-512672692*y^2-368591818*x^2+561035272*x*y-46288689132], [223/9009, true, 7968-1072*x^2+1984*x*y-592*y^2+560*x-2800*y, -22435944300*y+7365626730*x-1200131424*y^2-1587164814*x^2+2983014648*x*y+1078171066116], [32/1287, true, 20480-2048*x^2+3328*x*y-512*y^2+3072*x-9216*y, -114825644032*y+49396987904*x-1571206144*y^2-3437372416*x^2+5752086016*x*y+3299685580800], [25/1001, true, 43040-3536*x^2+5056*x*y-176*y^2+9072*x-21168*y, -323120602728*y+174837547962*x-1805337436*y^2-6835217746*x^2+10138363816*x*y+7985793140500], [230/9009, true, -1170*x^2+936*x*y-780*y^2+3510*x+1560*y, 23252086550*y+49237854050*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-42015736500], [1/39, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [232/9009, true, -1500-2250*x^2+3000*x*y-2250*y^2+5250*x+5250*y, 95845519000*y+79503712750*x-3241178500*y^2-3028947250*x^2+3992863000*x*y-716936199000], [233/9009, true, 9216-4224*x^2+6048*x*y-3264*y^2+9600*x+1920*y, 86905092560*y+138254951120*x-5214648712*y^2-5798169832*x^2+8454181684*x*y+410501823888], [2/77, true, 37672-7786*x^2+10744*x*y-4216*y^2+21726*x-10404*y, -32719824126*y+313328573514*x-7759729314*y^2-11255167674*x^2+16180465176*x*y+4277166689268], [80/3003, true, -3840*x^2+2560*x*y-1920*y^2+15360*x+3840*y, 55270330368*y+216326787072*x-2906097664*y^2-5346347008*x^2+4137336832*x*y-98916270080], [241/9009, true, -15752-4576*x^2+3344*x*y-3916*y^2+20328*x+15708*y, 216822129832*y+301331594872*x-5309033224*y^2-6406558744*x^2+4986322816*x*y-2884794657408], [22/819, true, -27648+27648*y+27648*x-6912*y^2-6912*x^2+6912*x*y, 415934880768*y+415934880768*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-5709651545088], [27/1001, true, -25272-11856*x^2+13936*x*y-10764*y^2+43992*x+34164*y, 595356122988*y+645488947224*x-15553831828*y^2-16060223992*x^2+19080267232*x*y-7183779776504], [250/9009, true, 8120*y+50750*x-4060*y^2-10150*x^2+5800*x*y, 109851761250*y+731244071250*x-6477333750*y^2-14547363750*x^2+10101375000*x*y-193794187500], [251/9009, true, 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53289315200*y+48066471200*x-635535400*y^2-540574600*x^2-666722480*x*y-1106026815000], [92/3003, true, -52488-2916*x^2-2916*x*y-2916*y^2+26244*x+26244*y, 240168440556*y+206253844236*x-2564356644*y^2-2050499124*x^2-2149118244*x*y-5304018635712], [277/9009, true, -169344-8064*x^2-6912*x*y-8064*y^2+80640*x+80640*y, 728177000320*y+595495331200*x-7020116032*y^2-5296977472*x^2-4873456256*x*y-16827407714112], [278/9009, true, -432000-18000*x^2-13500*x*y-18000*y^2+198000*x+198000*y, 1760861696000*y+1370564096000*x-15448576000*y^2-11013376000*x^2-9122432000*x*y-42113685504000], [31/1001, true, -944784-34992*x^2-23328*x*y-34992*y^2+419904*x+419904*y, 3672076646304*y+2717514131904*x-29523164472*y^2-19881118872*x^2-15137037648*x*y-90202730301864], [94/3003, true, 108+18*x^2+24*x*y+18*y^2-90*x-90*y, -990381480*y-915828540*x+18782816*y^2+16523636*x^2+22457488*x*y+13161766216], [283/9009, true, -252-12*x^2-36*x*y-12*y^2+120*x+120*y, 822330520*y+871814680*x-6839572*y^2-7964212*x^2-23699516*x*y-19259128572], [284/9009, true, -4368-112*x^2-392*x*y-238*y^2+1540*x+2170*y, 18705844080*y+12764727360*x-174403152*y^2-66382848*x^2-331406208*x*y-419155696512], [95/3003, true, -24840-576*x^2-1464*x*y-1296*y^2+7848*x+12168*y, 108092766408*y+60579609288*x-1001544016*y^2-281647696*x^2-1272450344*x*y-2449258075880], [2/63, true, -88740-1938*x^2-3672*x*y-4182*y^2+26418*x+42126*y, 374222831752*y+186044411476*x-3268398784*y^2-824523196*x^2-3183275984*x*y-8714644412040], [41/1287, true, -243012-4972*x^2-7436*x*y-10252*y^2+69520*x+111760*y, 981969365520*y+443354305680*x-7971506244*y^2-1850880564*x^2-6374473092*x*y-23501011825044], [32/1001, true, -559872-10692*x^2-13176*x*y-21222*y^2+155520*x+250290*y, 2162944254240*y+892683902880*x-16278580192*y^2-3447667552*x^2-11138683136*x*y-53018681485952], [97/3003, true, 216+72*x^2+48*x*y+72*y^2-288*x-288*y, -3297769728*y-2440508928*x+79541312*y^2+53563712*x^2+40782208*x*y+27002689216], [292/9009, true, 336+32*x^2+52*x*y+8*y^2-232*x-136*y, -1619001648*y-3106301616*x+8535024*y^2+42337296*x^2+56520936*x*y+46580047488], [293/9009, true, -1224-24*x^2-144*x*y-24*y^2+480*x+480*y, 1828750880*y+2078785280*x-4983304*y^2-9529384*x^2-56533424*x*y-54140507544], [14/429, true, -10800-36*x^2-876*x*y-324*y^2+2844*x+4572*y, 31994548476*y+20664487932*x-164012332*y^2+7655252*x^2-641507108*x*y-856354601960], [295/9009, true, -43800-40*x^2-2480*x*y-1480*y^2+8960*x+19040*y, 145795180608*y+62959038912*x-881816976*y^2+193977072*x^2-2023253856*x*y-3758855736240], [296/9009, true, -129024-168*x^2-5292*x*y-4368*y^2+22512*x+56112*y, 439451082752*y+138567114752*x-2738126848*y^2+681009152*x^2-4511270912*x*y-11247341174784], [3/91, true, -312984-648*x^2-9648*x*y-10152*y^2+49248*x+134784*y, 1053035419392*y+251095958784*x-6436205896*y^2+1664192696*x^2-8401031024*x*y-27068225215352], [43/1287, true, 540+108*x^2+108*x*y-36*y^2-648*x-72*y, 281229784*y-6025295144*x-43112668*y^2+100217444*x^2+73442164*x*y+47572266780], [302/9009, true, 1404+54*x^2+216*x*y-36*y^2-810*x-360*y, -3275685160*y-11648392360*x-73445656*y^2+78785384*x^2+266007136*x*y+195981331824], [304/9009, true, -10800+108*x^2-864*x*y-144*y^2+2268*x+4032*y, 5982232564*y+3804773896*x-6477628*y^2+21801056*x^2-142427408*x*y-187869755520], [305/9009, true, -45900+540*x^2-2700*x*y-900*y^2+6480*x+18000*y, 76591130000*y+27582170000*x-226997500*y^2+329922500*x^2-1286712500*x*y-2238638287500], [34/1001, true, -131220+1458*x^2-5832*x*y-2916*y^2+13122*x+52488*y, 265697825184*y+53563584096*x-997062048*y^2+1145708064*x^2-3373508736*x*y-7519252420800], [310/9009, true, 1080*y+120*x-360*y^2-120*x^2+180*x*y, 15454357072*y+6767707408*x-451169104*y^2-253745248*x^2+199867432*x*y-42302549280], [311/9009, true, 1248+32*x^2+448*x*y-352*y^2-1280*x+640*y, 13570904160*y-11810193120*x-466934328*y^2-5459832*x^2+440381232*x*y+68926173912], [8/231, true, 4968-36*x^2+876*x*y-324*y^2-2412*x-684*y, 356174412*y-32081348244*x-541373908*y^2-49896292*x^2+1071954652*x*y+601072044496], [313/9009, true, 9792-192*x^2+1152*x*y-192*y^2-2688*x-2688*y, -32391675008*y-48101153408*x-529759552*y^2-325740352*x^2+1900861312*x*y+1667066261952], [314/9009, true, 11328-256*x^2+964*x*y-16*y^2-1808*x-3728*y, -89153868672*y-54604167552*x-380502144*y^2-773112384*x^2+2787228576*x*y+3357565212672], [320/9009, true, -780*x^2+936*x*y-1170*y^2+1560*x+3510*y, 52155171200*y+29794833200*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-142607544000], [107/3003, true, 1512-576*x^2+1464*x*y-1296*y^2-936*x+3384*y, 60214579656*y-961242744*x-1756303024*y^2-829396624*x^2+1687921816*x*y-122922576392], [46/1287, true, 10956-814*x^2+2728*x*y-1474*y^2-3850*x+770*y, 43431640560*y-44442325620*x-2242653912*y^2-1101433572*x^2+3357213264*x*y+1017876108888], [323/9009, true, 31500-1500*x^2+4500*x*y-1500*y^2-6000*x-6000*y, -30327286000*y-87390886000*x-2785256500*y^2-2136806500*x^2+6259769500*x*y+4097522341500], [36/1001, true, 66096-2592*x^2+6552*x*y-1242*y^2-6156*x-18306*y, -206772546816*y-107549361216*x-3204251392*y^2-4206505792*x^2+10585725952*x*y+10411252504576], [10/273, true, 8748*y+8748*x-2916*y^2-2916*x^2+2916*x*y, 131604395868*y+131604395868*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-358921079640], [331/9009, true, -3240-2808*x^2+3888*x*y-3672*y^2+6048*x+12096*y, 195465837952*y+106248774016*x-5004984784*y^2-3846321616*x^2+4932934816*x*y-1367196273840], [332/9009, true, 10368-3672*x^2+6804*x*y-4752*y^2+2160*x+10800*y, 225353955200*y+56163493760*x-6855395584*y^2-4932776704*x^2+8589110368*x*y-279869121024], [340/9009, true, -8400*x^2+7200*x*y-6300*y^2+33600*x+18900*y, 283425619708*y+475647068512*x-8913509716*y^2-11409892168*x^2+10465315024*x*y-770055271680], [31/819, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [38/1001, true, -26244-11178*x^2+14472*x*y-12312*y^2+35478*x+45684*y, 763844333472*y+556283417184*x-17193930016*y^2-15097355104*x^2+18956661376*x*y-8360913614912], [50/1287, true, 36720*y+102000*x-12240*y^2-20400*x^2+15300*x*y, 542495148800*y+1427413856000*x-17905849600*y^2-27961744000*x^2+23482264000*x*y-1466332800000], [3/77, true, -97200-22032*x^2+17568*x*y-18576*y^2+119232*x+88128*y, 1253652722784*y+1743699900096*x-25505937688*y^2-30455909176*x^2+25685557744*x*y-18693379544840], [40/1001, true, -43740*x^2+29160*x*y-21870*y^2+262440*x+65610*y, 944345410272*y+3696145963488*x-33102268704*y^2-60898233888*x^2+47126852352*x*y-2535115812480], [365/9009, true, -3200-160*x^2-256*x*y-160*y^2+1440*x+1440*y, 13439226350*y+12911878100*x-139516150*y^2-129928000*x^2-209666840*x*y-330365184000], [122/3003, true, -36864-1536*x^2-2048*x*y-1536*y^2+15360*x+15360*y, 142712148480*y+131969207040*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-3793172575232], [367/9009, true, -169344-6048*x^2-6912*x*y-6048*y^2+66528*x+66528*y, 613984213458*y+547020351108*x-5337783198*y^2-4468122648*x^2-5272075512*x*y-17291974781664], [368/9009, true, -524288+196608*y+196608*x-16384*y^2-16384*x^2-16384*x*y, 1799231700992*y+1545159114752*x-14408237056*y^2-11521048576*x^2-12075155456*x*y-52980363558912], [41/1001, true, -1296000-36000*x^2-32000*x*y-36000*y^2+468000*x+468000*y, 4240990239750*y+3510999508500*x-31433365750*y^2-24059722000*x^2-22809839000*x*y-129355692632000], [373/9009, true, 576+48*x^2+72*x*y+48*y^2-336*x-336*y, -3667214936*y-3478164536*x+49238168*y^2+44941568*x^2+68215252*x*y+69592743696], [34/819, true, -1104-36*x^2-96*x*y-36*y^2+420*x+420*y, 3034581770*y+3168147620*x-22349506*y^2-24777976*x^2-65649416*x*y-88357971624], [125/3003, true, -16400-340*x^2-980*x*y-580*y^2+4980*x+6420*y, 56124407196*y+42253718364*x-438933924*y^2-228771972*x^2-822871764*x*y-1593656321400], [376/9009, true, -86904-1632*x^2-3672*x*y-2958*y^2+24276*x+33558*y, 302358554344*y+197612857288*x-2352929224*y^2-992595496*x^2-3147610496*x*y-8699788482432], [29/693, true, -295680-5184*x^2-9264*x*y-9216*y^2+78528*x+110784*y, 1003175322512*y+604025107664*x-7451045248*y^2-2915247352*x^2-7897348652*x*y-29679272455200], [6/143, true, -780704-12772*x^2-18848*x*y-22072*y^2+199764*x+283464*y, 2556265166334*y+1445456045484*x-17891331462*y^2-6671037312*x^2-15859057608*x*y-77805745769304], [382/9009, true, 2048+256*x^2+256*x*y+256*y^2-1536*x-1536*y, -17215261184*y-14784264704*x+275719424*y^2+220469504*x^2+231073024*x*y+253461184512], [383/9009, true, 1248+68*x^2+112*x*y+32*y^2-620*x-440*y, -6132286710*y-9193780530*x+42306678*y^2+97970202*x^2+138378888*x*y+194887007532], [128/3003, true, -7168-128*x^2-512*x*y-128*y^2+2304*x+2304*y, 13340811264*y+14616248064*x-55015168*y^2-74339968*x^2-294236672*x*y-471111108608], [5/117, true, -47200-380*x^2-2480*x*y-1040*y^2+11340*x+15960*y, 123241082734*y+89803738486*x-631036786*y^2-196785562*x^2-1938993512*x*y-4093292059260], [386/9009, true, -172032-1024*x^2-6656*x*y-4096*y^2+34816*x+59392*y, 490027152384*y+270682739712*x-2759242752*y^2-266692608*x^2-5618495232*x*y-15848392863744], [43/1001, true, -475552-2684*x^2-13904*x*y-11264*y^2+86724*x+163944*y, 1382912393346*y+629596930446*x-7911152266*y^2-301905166*x^2-12115319576*x*y-44605231473668], [391/9009, true, 1728+432*x^2+216*x*y+432*y^2-2160*x-2160*y, -25031148120*y-15758618040*x+480655944*y^2+269916624*x^2+176467572*x*y+215969912496], [131/3003, true, 3600+108*x^2+292*x*y+12*y^2-1524*x-948*y, -14774830356*y-28822198548*x-9811516*y^2+203027396*x^2+467345164*x*y+685116186040], [394/9009, true, -13392-108*x^2-864*x*y-108*y^2+3780*x+3780*y, 7281011430*y+8448016500*x-6970698*y^2-22126608*x^2-175175784*x*y-303502476312], [395/9009, true, -78080-64*x^2-3856*x*y-1024*y^2+15936*x+23616*y, 138438891536*y+101497445456*x-377184064*y^2+42605096*x^2-2391970316*x*y-5250711570720], [4/91, true, -249912+312*x^2-9464*x*y-3978*y^2+39780*x+78390*y, 536777249580*y+272652648840*x-1955844436*y^2+712080824*x^2-6932295968*x*y-19374714351824], [401/9009, true, 3264+576*x^2+384*x*y-144*y^2-3840*x-240*y, 3350694710*y-29663790640*x-156660934*y^2+443602436*x^2+191478424*x*y+233722321944], [134/3003, true, 10240+512*x^2+1024*x*y-256*y^2-6144*x-1536*y, -6891236352*y-71297791488*x-379786752*y^2+596070144*x^2+968398848*x*y+1143697397760], [31/693, true, 14400+192*x^2+1152*x*y-144*y^2-5376*x-3024*y, -35216951462*y-90010577888*x-382859662*y^2+328745876*x^2+1680445336*x*y+2349786168360], [45/1001, true, -65600+320*x^2-3200*x*y-400*y^2+11520*x+18000*y, -6404641650*y-4748317200*x+1337850*y^2-15392700*x^2+126711000*x*y+276152571000], [410/9009, true, -340*x^2+544*x*y-1360*y^2+340*x+5440*y, 76707244350*y+37752947100*x-1684839150*y^2-976579200*x^2+580323960*x*y-279871551000], [137/3003, true, 5936+364*x^2+1372*x*y-1316*y^2-6300*x+3780*y, 70637726940*y-48601072740*x-1663416148*y^2+143232332*x^2+1186295116*x*y+168299440168], [412/9009, true, 22616+352*x^2+2728*x*y-1298*y^2-12012*x-462*y, 34847517628*y-140111073872*x-1899994108*y^2+372195392*x^2+2894857888*x*y+2312764524816], [59/1287, true, 45312-64*x^2+3856*x*y-1024*y^2-14912*x-7232*y, -50933261808*y-219363054768*x-1982762496*y^2-68787576*x^2+5123099124*x*y+6263485813728], [46/1001, true, 62000-500*x^2+4000*x*y-500*y^2-13500*x-13500*y, -192723324750*y-270334993500*x-1731129250*y^2-947173000*x^2+7355659000*x*y+11950562467000], [20/429, true, 15360*y+3840*x-3840*y^2-1920*x^2+2560*x*y, 224869514496*y+102786756864*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-820471700480], [422/9009, true, 40960-1024*x^2+6656*x*y-4096*y^2-18432*x+6144*y, 185959887872*y-200255097856*x-5894929408*y^2-1506122752*x^2+7563497728*x*y+3352950558720], [47/1001, true, 102816-1932*x^2+10192*x*y-4032*y^2-28476*x-9576*y, 27063159354*y-381358053846*x-6773951002*y^2-2648484202*x^2+13001171512*x*y+12264367394356], [430/9009, true, -6300*x^2+7200*x*y-8400*y^2+18900*x+33600*y, 501751404154*y+328594261996*x-11170516846*y^2-8921722792*x^2+9308529688*x*y-1828277347080], [431/9009, true, 768-5184*x^2+9264*x*y-9216*y^2+4416*x+36672*y, 600001399184*y+160638087632*x-12354469312*y^2-7361704408*x^2+11072543188*x*y-3515446250784], [48/1001, true, 50968-5704*x^2+14536*x*y-10534*y^2-14076*x+29394*y, 613560077856*y-87162595344*x-14890805856*y^2-7812799056*x^2+17386458624*x*y+1261467421632], [40/819, true, 65536*y+65536*x-16384*y^2-16384*x^2+16384*x*y, 985919717376*y+985919717376*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-3585162608640], [7/143, true, -36352-15488*x^2+19456*x*y-19328*y^2+51840*x+86400*y, 1353640944150*y+866830450860*x-26205017206*y^2-21287739496*x^2+25063752712*x*y-12537364168784], [50/1001, true, 118080*y+184500*x-29520*y^2-36900*x^2+32800*x*y, 1774226089350*y+2633734273500*x-41419105150*y^2-50101006000*x^2+46995259000*x*y-6434198675000], [152/3003, true, -9000-300*x^2-500*x*y-300*y^2+3300*x+3300*y, 30815527380*y+29839086420*x-260651380*y^2-245856820*x^2-412501100*x*y-929071655600], [457/9009, true, -98000-2800*x^2-4000*x*y-2800*y^2+33600*x+33600*y, 312837484960*y+293699486080*x-2459942680*y^2-2211397240*x^2-3205763600*x*y-10103789147400], [458/9009, true, -432000-10800*x^2-13500*x*y-10800*y^2+140400*x+140400*y, 1301284828800*y+1185441713280*x-9529488000*y^2-8213088960*x^2-10515679200*x*y-44333482982400], [51/1001, true, -1296000-28800*x^2-32000*x*y-28800*y^2+403200*x+403200*y, 3715302476160*y+3285777179520*x-25408776640*y^2-21070137280*x^2-24239062400*x*y-132085549073600], [464/9009, true, 2000+100*x^2+160*x*y+100*y^2-900*x-900*y, -9777262660*y-9393607960*x+101500340*y^2+94524800*x^2+152536144*x*y+240346214400], [155/3003, true, -3400-80*x^2-200*x*y-80*y^2+1080*x+1080*y, 8009247840*y+8287334880*x-51759040*y^2-55972480*x^2-139186400*x*y-278391207200], [466/9009, true, -46020-754*x^2-1976*x*y-1144*y^2+12194*x+14924*y, 131299694064*y+104706123984*x-880401744*y^2-535030704*x^2-1649578176*x*y-4495871878560], [467/9009, true, -232540-3476*x^2-7436*x*y-5588*y^2+57552*x+74448*y, 674649147920*y+481341336080*x-4507117420*y^2-2310437740*x^2-6318700340*x*y-23421771284700], [4/77, true, -763840-10664*x^2-18848*x*y-16988*y^2+180792*x+237708*y, 2169769082580*y+1453146639120*x-13954651780*y^2-6716041240*x^2-15924415280*x*y-77399280200000], [43/819, true, 9000+600*x^2+720*x*y+600*y^2-4800*x-4800*y, -53191536640*y-47978275840*x+634369280*y^2+539582720*x^2+665499136*x*y+1103997408000], [158/3003, true, 3280+116*x^2+196*x*y+68*y^2-1284*x-996*y, -15475190940*y-20810071260*x+99750420*y^2+180581940*x^2+269444340*x*y+564465072600], [475/9009, true, -24600-360*x^2-1200*x*y-360*y^2+6720*x+6720*y, 43616742400*y+46835477920*x-187612600*y^2-229414360*x^2-757677200*x*y-1792212093000], [53/1001, true, -483560-3256*x^2-13904*x*y-8536*y^2+91872*x+139392*y, 1184029684992*y+744629542272*x-6069380976*y^2-1630995696*x^2-11781029664*x*y-45777242566800], [482/9009, true, 13500+1350*x^2+1080*x*y+1350*y^2-9450*x-9450*y, -107240973840*y-85568022540*x+1478032920*y^2+1083979260*x^2+943605936*x*y+1682662199400], [23/429, true, 16560+864*x^2+976*x*y+384*y^2-8112*x-5232*y, -58578204432*y-91375748112*x+451482944*y^2+948415424*x^2+872131216*x*y+2038482827920], [44/819, true, 4720+104*x^2+248*x*y+38*y^2-1596*x-1134*y, -32271303680*y-51552005120*x+78402560*y^2+328801280*x^2+681410560*x*y+1559112499200], [485/9009, true, -62100-540*x^2-2700*x*y-540*y^2+15120*x+15120*y, 72316625040*y+80954050320*x-166809780*y^2-264962340*x^2-1309940100*x*y-3415224521700], [491/9009, true, 8000+1600*x^2+640*x*y+1600*y^2-9600*x-9600*y, -112084149760*y-58613378560*x+1780079360*y^2+807883520*x^2+515628544*x*y+995482771200], [164/3003, true, 23240+1876*x^2+1372*x*y+532*y^2-15372*x-7308*y, -73413652620*y-148069378380*x+653592380*y^2+1784739740*x^2+917471380*x*y+2506472987200], [493/9009, true, 35040+1184*x^2+1984*x*y+32*y^2-15232*x-7168*y, -73021132800*y-191843467200*x-53713800*y^2+1489433400*x^2+2004080400*x*y+4480650405000], [38/693, true, 19520+256*x^2+964*x*y+16*y^2-5904*x-3984*y, -85076045824*y-155868934144*x-131805184*y^2+672659456*x^2+2197156864*x*y+5147746222080], [5/91, true, -78400-320*x^2-3200*x*y-320*y^2+17280*x+17280*y, 1571137920*y+1847134080*x-345280*y^2-3133120*x^2-31049600*x*y-84608561600], [167/3003, true, 13000+2000*x^2+1000*x*y-400*y^2-15000*x-600*y, 15672048480*y-95044039200*x-414607680*y^2+1262908800*x^2+354304800*x*y+738439221600], [502/9009, true, 43500+2250*x^2+3000*x*y-900*y^2-26250*x-4200*y, -1803641840*y-269564094800*x-1168109680*y^2+2309298800*x^2+2383067200*x*y+4267476607200], [503/9009, 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624905250552*y-610804063188*x-13973744416*y^2-1491832156*x^2+15323140336*x*y+8505317450200], [530/9009, true, 102000*y+36720*x-20400*y^2-12240*x^2+15300*x*y, 1507922049920*y+778936104320*x-26610298240*y^2-18326367040*x^2+18949640800*x*y-6874352793600], [59/1001, true, 17920-8704*x^2+19456*x*y-20992*y^2-9216*x+101376*y, 1643469886080*y+223421742720*x-27637450560*y^2-13293529920*x^2+22073489280*x*y-9534952065600], [60/1001, true, -29520*x^2+32800*x*y-36900*y^2+118080*x+184500*y, 2761544695140*y+1968386777280*x-49362832660*y^2-41351136520*x^2+42936883600*x*y-12573652659200], [547/9009, true, -21168-504*x^2-864*x*y-504*y^2+6552*x+6552*y, 61201406728*y+59574887218*x-436680796*y^2-415557166*x^2-716285336*x*y-2184660082452], [548/9009, true, -221184-4608*x^2-6912*x*y-4608*y^2+64512*x+64512*y, 601355651072*y+570354870272*x-4037075968*y^2-3684794368*x^2-5593021952*x*y-22823854301184], [61/1001, true, -944784-17496*x^2-23328*x*y-17496*y^2+262440*x+262440*y, 2438370849420*y+2254817623410*x-15414757488*y^2-13560684498*x^2-18430502184*x*y-97214864320692], [185/3003, true, 5400+180*x^2+300*x*y+180*y^2-1980*x-1980*y, -21445495500*y-20765959500*x+181395500*y^2+171099500*x^2+287072500*x*y+646570210000], [556/9009, true, -8460-150*x^2-360*x*y-150*y^2+2310*x+2310*y, 17399124820*y+17898050170*x-99437800*y^2-105917350*x^2-253049720*x*y-702297639120], [557/9009, true, -107520-1408*x^2-3488*x*y-1984*y^2+25216*x+29824*y, 263292643152*y+218091657168*x-1542502872*y^2-1028855304*x^2-2898917964*x*y-10531705222800], [62/1001, true, -524880-6318*x^2-13176*x*y-9396*y^2+116154*x+143856*y, 1307158928262*y+987494444838*x-7637437102*y^2-4408502926*x^2-11132376872*x*y-53009601795980], [188/3003, true, 27648+1152*x^2+1536*x*y+1152*y^2-11520*x-11520*y, -126768829440*y-117226053120*x+1202100224*y^2+1057512704*x^2+1437279232*x*y+3369412151296], [565/9009, true, 7080+176*x^2+304*x*y+116*y^2-2296*x-1876*y, 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608971287276*y-1159753808862*x-12315267976*y^2+5550642086*x^2+12328085704*x*y+16284970981840], [620/9009, true, 138240*y+15360*x-23040*y^2-7680*x^2+11520*x*y, 1978157705216*y+866266548224*x-28874822656*y^2-16239695872*x^2+12791515648*x*y-10829452615680], [69/1001, true, 73872-648*x^2+17568*x*y-22248*y^2-73224*x+121176*y, 1959769556316*y-249742712934*x-28029921088*y^2-5711615338*x^2+16468538008*x*y-8669063796068], [10/143, true, -21870*x^2+29160*x*y-43740*y^2+65610*x+262440*y, 3842106470334*y+1756208103606*x-56245736934*y^2-35176056462*x^2+34873161336*x*y-21027792292380], [58/819, true, -43904-784*x^2-1372*x*y-784*y^2+11760*x+11760*y, 109868506880*y+107353875200*x-677800192*y^2-649224832*x^2-1141411136*x*y-4529948193792], [71/1001, true, -444528-7056*x^2-10976*x*y-7056*y^2+112896*x+112896*y, 1053134812224*y+1006210760544*x-6166250824*y^2-5692270504*x^2-8942949104*x*y-45887316826232], [646/9009, true, 12348+294*x^2+504*x*y+294*y^2-3822*x-3822*y, 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-647103693852*y-576527672952*x+5625713412*y^2+4709141712*x^2+5556461328*x*y+18224736906816], [95/1287, true, 105700+2540*x^2+3380*x*y+1580*y^2-33840*x-26160*y, -310482447088*y-399966434032*x+1854620564*y^2+2871484052*x^2+3347178124*x*y+13730599950180], [74/1001, true, -18900-246*x^2-536*x*y-144*y^2+4626*x+3708*y, -73190654856*y-98571695112*x+247004168*y^2+503378312*x^2+984590752*x*y+4188843047440], [673/9009, true, 197568+9408*x^2+8064*x*y+9408*y^2-94080*x-94080*y, -1063723189760*y-869901401600*x+10255006976*y^2+7737840896*x^2+7119159808*x*y+24581528668416], [674/9009, true, 221760+6912*x^2+6948*x*y+3888*y^2-83088*x-58896*y, -657444422272*y-884224713856*x+4502996096*y^2+7080044864*x^2+5935926496*x*y+26760321500160], [75/1001, true, 175840+3104*x^2+5056*x*y+1184*y^2-50688*x-33408*y, -435014113248*y-715822813728*x+1455036264*y^2+4291487784*x^2+5878091376*x*y+25978891260600], [62/819, true, 171500+12250*x^2+7000*x*y+12250*y^2-110250*x-110250*y, -1270973627000*y-869527389500*x+13598798000*y^2+8385210500*x^2+5814706000*x*y+21452879037000], [683/9009, true, 287196+12116*x^2+8788*x*y+5876*y^2-132080*x-82160*y, -888728615280*y-1275842311920*x+6952441788*y^2+11351461068*x^2+6293494044*x*y+32617751306508], [76/1001, true, 367472+8704*x^2+10744*x*y+2074*y^2-126684*x-67014*y, -711436871376*y-1466897737536*x+2343531056*y^2+9974448896*x^2+9685399936*x*y+44870104363648], [691/9009, true, 74088+10584*x^2+3024*x*y+10584*y^2-84672*x-84672*y, -996936450048*y-314071769088*x+11664746496*y^2+2796374016*x^2+2564960256*x*y+9088515643392], [692/9009, true, 243712+15368*x^2+7412*x*y+5168*y^2-152592*x-70992*y, -720297542272*y-1237583788672*x+6371518208*y^2+12249771008*x^2+3627362272*x*y+24073815055872], [1/13, true, 452088+14664*x^2+13936*x*y+936*y^2-194688*x-71136*y, -620579263392*y-1990025791776*x+1130478152*y^2+14963271368*x^2+10275998512*x*y+48364531248856], [701/9009, true, 102900+12348*x^2+4116*x*y-1764*y^2-115248*x-2352*y, 134658580496*y-431256668656*x-1831232668*y^2+4599622436*x^2+602043052*x*y+2957581766580], [6/77, true, 363580+17150*x^2+13720*x*y-4900*y^2-216090*x-17640*y, 153180114120*y-1831291438680*x-5550373800*y^2+14494793400*x^2+8006199840*x*y+28906750953360], [710/9009, true, -2800*x^2+4900*x*y-19600*y^2+2800*x+137200*y, 1893711232512*y+1392204768768*x-24234564096*y^2-18535627008*x^2+5430236544*x*y-12068484986880], [79/1001, true, 141680+10384*x^2+13024*x*y-19184*y^2-152064*x+114048*y, 1870030128384*y-555631778592*x-22894860712*y^2+1606774712*x^2+8011334992*x*y-7133515858520], [80/1001, true, 327222*y+26712*x-46746*y^2-13356*x^2+20776*x*y, 4644426470112*y+2140757313552*x-58176626656*y^2-32887039216*x^2+22526455936*x*y-29660330584640], [81/1001, true, -82944-1152*x^2-2048*x*y-1152*y^2+19584*x+19584*y, 182985700194*y+179307874944*x-994205362*y^2-957055612*x^2-1708270088*x*y-8555860282784], [67/819, true, 25088+448*x^2+784*x*y+448*y^2-6720*x-6720*y, -72519913840*y-70860103600*x+447389456*y^2+428527976*x^2+753400948*x*y+2990042024256], [82/1001, true, -35392-392*x^2-896*x*y-392*y^2+7560*x+7560*y, 57958331310*y+59191395120*x-267081502*y^2-279536692*x^2-636712376*x*y-2985354294512], [746/9009, true, 147456+3072*x^2+4608*x*y+3072*y^2-43008*x-43008*y, -469403511808*y-445205060608*x+3151242752*y^2+2876260352*x^2+4365776128*x*y+17815742386176], [83/1001, true, 23296+332*x^2+592*x*y+248*y^2-5652*x-4896*y, -97064504658*y-114505925886*x+457810434*y^2+633986406*x^2+1045278216*x*y+5070741791148], [755/9009, true, 345600+8640*x^2+10800*x*y+8640*y^2-112320*x-112320*y, -1241357238000*y-1130849002800*x+9090630000*y^2+7834854600*x^2+10031404500*x*y+42291809424000], [12/143, true, 213840+3828*x^2+5368*x*y+2574*y^2-58608*x-47322*y, -570087081036*y-702668102004*x+3024340052*y^2+4363542284*x^2+5468230624*x*y+28193722083280], [764/9009, true, 524288+16384*x^2+16384*x*y+16384*y^2-196608*x-196608*y, -2203553431552*y-1892385882112*x+17646043136*y^2+14110048256*x^2+14788673536*x*y+64886063235072], [85/1001, true, 492800+10960*x^2+12160*x*y+6880*y^2-153360*x-116640*y, -1320462245718*y-1666176798132*x+7882977326*y^2+11375043512*x^2+10910050312*x*y+60566398418680], [773/9009, true, 576000+24000*x^2+18000*x*y+24000*y^2-264000*x-264000*y, -3005845942000*y-2339595742000*x+26371202000*y^2+18800177000*x^2+15572276500*x*y+71889377208000], [86/1001, true, 730336+20648*x^2+17632*x*y+11948*y^2-265176*x-186876*y, -2066046332526*y-2675021621976*x+13844531718*y^2+19995797268*x^2+14049246312*x*y+86154151060656], [782/9009, true, 442368+27648*x^2+13824*x*y+27648*y^2-276480*x-276480*y, -3203986959360*y-2017103109120*x+30761980416*y^2+17274663936*x^2+11293924608*x*y+55288297598976], [87/1001, true, 787968+29868*x^2+18544*x*y+15048*y^2-352260*x-218880*y, -2371480439130*y-3218819051250*x+17831011298*y^2+26389987178*x^2+12246673144*x*y+87705040312708], [113/1287, true, 175616+21952*x^2+5488*x*y+21952*y^2-197568*x-197568*y, -2331845058928*y-495287505328*x+24022452272*y^2+3152480072*x^2+4951574068*x*y+21358824646656], [8/91, true, 596336+33652*x^2+13912*x*y+11938*y^2-365472*x-170046*y, -1737598071528*y-2718739996236*x+14623601864*y^2+24534126356*x^2+5855787616*x*y+56589097416688], [89/1001, true, 232960+25088*x^2+7168*x*y-3136*y^2-258048*x-4032*y, 308040844914*y-640845997704*x-3392233938*y^2+6192481644*x^2+561420504*x*y+3497074385040], [90/1001, true, 299520*y+4680*x-37440*y^2-4680*x^2+8320*x*y, 4119489587862*y+3389165939808*x-46484537494*y^2-39107530948*x^2+9747063112*x*y-29980906303280], [92/1001, true, 46656+648*x^2+1152*x*y+648*y^2-11016*x-11016*y, -118739554956*y-116353011456*x+645140588*y^2+621034088*x^2+1108497712*x*y+5551904007616], [93/1001, true, 285768+4536*x^2+7056*x*y+4536*y^2-72576*x-72576*y, -790053479424*y-754851423744*x+4625873024*y^2+4270296704*x^2+6708930304*x*y+34424305320832], [94/1001, true, 708588+13122*x^2+17496*x*y+13122*y^2-196830*x-196830*y, -2165964296760*y-2002917016980*x+13692672864*y^2+12045730644*x^2+16371508752*x*y+86354348143176], [95/1001, true, 1166400+25920*x^2+28800*x*y+25920*y^2-362880*x-362880*y, -4041061516800*y-3573875289600*x+27636627200*y^2+22917574400*x^2+26364352000*x*y+143666856928000], [96/1001, true, 1458000+40500*x^2+36000*x*y+40500*y^2-526500*x-526500*y, -5941016284500*y-4918404447000*x+44033616500*y^2+33704204000*x^2+31953298000*x*y+181208687824000], [97/1001, true, 1417176+52488*x^2+34992*x*y+52488*y^2-629856*x-629856*y, -7212222395136*y-5337393025536*x+57985616448*y^2+39047946048*x^2+29730229632*x*y+177164643946176], [14/143, true, 1000188+55566*x^2+24696*x*y+55566*y^2-611226*x-611226*y, -7112563676064*y-4096206151884*x+61859119784*y^2+31390861964*x^2+19969915504*x*y+124775677843432], [9/91, true, 373248+41472*x^2+9216*x*y+41472*y^2-414720*x-414720*y, -4903307735040*y-540360437760*x+45020678144*y^2+950503424*x^2+9015365632*x*y+44980265814016], [82/819, true, 4*y+4*x-4*y^2-4*x^2+4*x*y, -54705240+60175764*y+60175764*x-5470524*y^2-5470524*x^2+5470524*x*y], [43/429, true, -18*x^2+24*x*y-36*y^2+18*x+72*y, 1110867384*y+507772056*x-48786952*y^2-30511336*x^2+30248608*x*y-2026586960], [904/9009, true, -48*x^2+72*x*y-144*y^2+48*x+432*y, 7039707136*y+3082799104*x-205514752*y^2-115585024*x^2+91042816*x*y-19269488640], [905/9009, true, -100*x^2+160*x*y-400*y^2+100*x+1600*y, 27783726300*y+13674295800*x-610256700*y^2-353721600*x^2+210196080*x*y-101370798000], [302/3003, true, -180*x^2+300*x*y-900*y^2+180*x+4500*y, 83392296900*y+47274245700*x-1473403900*y^2-926160700*x^2+419768500*x*y-380126387000], [907/9009, true, -294*x^2+504*x*y-1764*y^2+294*x+10584*y, 209066922064*y+135750515824*x-3098745904*y^2-2146584784*x^2+767182144*x*y-1142846679840], [908/9009, true, -448*x^2+784*x*y-3136*y^2+448*x+21952*y, 461183985504*y+339049868256*x-5901952032*y^2-4514064336*x^2+1322449848*x*y-2939092248960], [101/1001, true, -648*x^2+1152*x*y-5184*y^2+648*x+41472*y, 924306558516*y+760440884544*x-10429923892*y^2-8774715064*x^2+2186988016*x*y-6726937339040], [83/819, true, -108+216*y+216*x-108*y^2-108*x^2+108*x*y, 3249491256*y+3249491256*x-147704148*y^2-147704148*x^2+147704148*x*y-22303326348], [914/9009, true, -896-384*x^2+256*x*y-384*y^2+1280*x+1280*y, 18422433920*y+21670267520*x-541201216*y^2-600252736*x^2+412495744*x*y-178683591744], [305/3003, true, -3500-1000*x^2+500*x*y-1000*y^2+4500*x+4500*y, 65670099000*y+85598799000*x-1469002000*y^2-1770952000*x^2+948001000*x*y-752573897000], [916/9009, true, -9936-2160*x^2+864*x*y-2160*y^2+12096*x+12096*y, 181538612640*y+257116083840*x-3318845400*y^2-4300371000*x^2+1922402160*x*y-2338567527240], [131/1287, true, -23324-4116*x^2+1372*x*y-4116*y^2+27440*x+27440*y, 425574176720*y+648136504400*x-6620776708*y^2-9149894068*x^2+3569413036*x*y-6021023167572], [102/1001, true, -48128-7168*x^2+2048*x*y-7168*y^2+55296*x+55296*y, 887729458176*y+1443736267776*x-12068796928*y^2-17685027328*x^2+6203665408*x*y-13606557260288], [920/9009, true, 8+4*x^2+4*x*y+4*y^2-12*x-12*y, -112284172*y-96428332*x+3596684*y^2+2875964*x^2+3014284*x*y+826582848], [307/3003, true, 100+20*x^2+40*x*y-10*y^2-120*x-30*y, -106378272*y-1100605968*x-11725344*y^2+18402768*x^2+29897856*x*y+8827483680], [922/9009, true, 320+96*y-288*x-128*y^2-32*x^2+208*x*y, 2483644768*y-2674568864*x-157463104*y^2-40230976*x^2+202033264*x*y+22390683840], [71/693, true, 44-374*x^2+616*x*y-506*y^2+330*x+990*y, 16402754720*y+6222820340*x-658591528*y^2-473501812*x^2+720719248*x*y-59463550488], [4/39, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [925/9009, true, -12172-3536*x^2+2584*x*y-3026*y^2+15708*x+12138*y, 176864520448*y+245799947008*x-4330644736*y^2-5225910016*x^2+4067405824*x*y-2353163046912], [926/9009, true, -35200-7520*x^2+4360*x*y-5840*y^2+42720*x+29280*y, 423500921888*y+709908422432*x-8722726384*y^2-11977357072*x^2+7820431816*x*y-6869868091680], [103/1001, true, -82340-14122*x^2+6808*x*y-10258*y^2+96462*x+61686*y, 896280251328*y+1709043205716*x-15959533464*y^2-24169260276*x^2+13812395184*x*y-16678476302040], [310/3003, true, 216+72*x^2+48*x*y+72*y^2-288*x-288*y, -2845331808*y-2105683008*x+68628632*y^2+46215032*x^2+35187088*x*y+23298051976], [133/1287, true, 900+180*x^2+180*x*y-60*y^2-1080*x-120*y, 397267288*y-8511376808*x-60901276*y^2+141567908*x^2+103744948*x*y+67200938460], [932/9009, true, 2184+56*x^2+784*x*y-616*y^2-2240*x+1120*y, 20572453440*y-17903350080*x-707836752*y^2-8276688*x^2+667584288*x*y+104486811408], [311/3003, true, 2268-864*x^2+2196*x*y-1944*y^2-1404*x+5076*y, 82079239704*y-1310281896*x-2394038416*y^2-1130560816*x^2+2300827144*x*y-167557287128], [934/9009, true, -3960-3432*x^2+4752*x*y-4488*y^2+7392*x+14784*y, 228299490496*y+124096063168*x-5845704232*y^2-4492412968*x^2+5761551568*x*y-1596853015320], [85/819, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [8/77, true, -81000-18360*x^2+14640*x*y-15480*y^2+99360*x+73440*y, 1087475292288*y+1512564463872*x-22125008416*y^2-26418838432*x^2+22280819008*x*y-16215486166880], [940/9009, true, 1728+432*x^2+216*x*y+432*y^2-2160*x-2160*y, -21945116160*y-13815774720*x+421396992*y^2+236639232*x^2+154711296*x*y+189343484928], [941/9009, true, 4624+816*x^2+544*x*y-204*y^2-5440*x-340*y, 4122800660*y-36499265440*x-192760564*y^2+545822456*x^2+235601104*x*y+287579331024], [314/3003, true, 9328+572*x^2+2156*x*y-2068*y^2-9900*x+5940*y, 97290186180*y-66938838780*x-2291042956*y^2+197275604*x^2+1633898452*x*y+231800831896], [944/9009, true, 1024-6912*x^2+12352*x*y-12288*y^2+5888*x+48896*y, 745947685472*y+199712217056*x-15359610496*y^2-9152389264*x^2+13765864504*x*y-4370554798272], [15/143, true, -42032-17908*x^2+22496*x*y-22348*y^2+59940*x+99900*y, 1512737948700*y+968711329080*x-29284962268*y^2-23789743888*x^2+28009561936*x*y-14010913777952], [950/9009, true, 8000+1600*x^2+640*x*y+1600*y^2-9600*x-9600*y, -99198563200*y-51874979200*x+1575435200*y^2+715006400*x^2+456350080*x*y+881038584000], [317/3003, true, 16900+2600*x^2+1300*x*y-520*y^2-19500*x-780*y, 17922821400*y-108693981000*x-474152400*y^2+1444284000*x^2+405189000*x*y+844491663000], [136/1287, true, 30080+2176*x^2+4864*x*y-5504*y^2-32256*x+21504*y, 332816042944*y-179792398016*x-5972451304*y^2+684801176*x^2+3300330064*x*y+49658427240], [953/9009, true, 39140-1748*x^2+12844*x*y-14516*y^2-37392*x+64752*y, 965988939344*y-143516751664*x-16739137012*y^2-4131117796*x^2+11523979948*x*y-3139385972580], [106/1001, true, 24640+139392*y-12672*x-28864*y^2-11968*x^2+26752*x*y, 2079932380416*y+282756697344*x-34977232512*y^2-16823942784*x^2+27935629056*x*y-12067185237120], [320/3003, true, 27000+4500*x^2+1500*x*y+4500*y^2-31500*x-31500*y, -329166601500*y-137720401500*x+4442319500*y^2+1541619500*x^2+1090106500*x*y+2972711782000], [961/9009, true, 49284+6660*x^2+2664*x*y-1110*y^2-55944*x-1554*y, 55834387840*y-249072306560*x-1006038400*y^2+2953788800*x^2+561832960*x*y+1862845263360], [74/693, true, 80256+5984*x^2+9592*x*y-12496*y^2-86240*x+61600*y, 921956666400*y-380400783840*x-13400181648*y^2+1399334832*x^2+5846802696*x*y-1736067265632], [107/1001, true, 104652-918*x^2+24888*x*y-31518*y^2-103734*x+171666*y, 2494770951816*y-317920473684*x-35681865088*y^2-7270840588*x^2+20964317008*x*y-11035648792568], [970/9009, true, 74088+10584*x^2+3024*x*y+10584*y^2-84672*x-84672*y, -891790808832*y-280947012192*x+10434480264*y^2+2501443944*x^2+2294437104*x*y+8129961259128], [971/9009, true, 122500+14700*x^2+4900*x*y-2100*y^2-137200*x-2800*y, 142920547088*y-457716387568*x-1943587804*y^2+4881831908*x^2+638981356*x*y+3139043962740], [108/1001, true, 186760+13688*x^2+17168*x*y-25288*y^2-200448*x+150336*y, 2201095277568*y-653999347584*x-26948105824*y^2+1891233824*x^2+9429640384*x*y-8396414491040], [140/1287, true, 175616+21952*x^2+5488*x*y+21952*y^2-197568*x-197568*y, -2092817661088*y-444517715488*x+21560014112*y^2+2829332912*x^2+4444009528*x*y+19169423486976], [109/1001, true, 270400+29120*x^2+8320*x*y-3640*y^2-299520*x-4680*y, 320030901828*y-665790027408*x-3524271876*y^2+6433515288*x^2+583273008*x*y+3633193090080], [10/91, true, 373248+41472*x^2+9216*x*y+41472*y^2-414720*x-414720*y, -4411984389120*y-486215009280*x+40509496832*y^2+855260672*x^2+8112004096*x*y+40473133915648], [331/3003, true, -20-4*x^2-8*x*y+2*y^2+24*x+6*y, 16216200*y+167775300*x+1787400*y^2-2805300*x^2-4557600*x*y-1345653000], [142/1287, true, -180-36*x^2-36*x*y+12*y^2+216*x+24*y, -52378040*y+1122189640*x+8029580*y^2-18665140*x^2-13678340*x*y-8860164300], [995/9009, true, -816-144*x^2-96*x*y+36*y^2+960*x+60*y, -399534190*y+3537086960*x+18680126*y^2-52894804*x^2-22831736*x*y-27868865016], [332/3003, true, -2600-400*x^2-200*x*y+80*y^2+3000*x+120*y, -1208748420*y+7330524300*x+31977720*y^2-97405200*x^2-27326700*x*y-56954088900], [997/9009, true, -6660-900*x^2-360*x*y+150*y^2+7560*x+210*y, -2473099244*y+11032278796*x+44560940*y^2-130833580*x^2-24885536*x*y-82511896176], [998/9009, true, -14700-1764*x^2-588*x*y+252*y^2+16464*x+336*y, -3729359920*y+11943623120*x+50715860*y^2-127386220*x^2-16673540*x*y-81910019100], [111/1001, true, -29120-3136*x^2-896*x*y+392*y^2+32256*x+504*y, -3700634850*y+7698774600*x+40752450*y^2-74393100*x^2-6744600*x*y-42011946000], [92/819, true, -12-4*x^2+4*x*y-4*y^2+8*x+8*y, 120351528*y+120351528*x-5470524*y^2-5470524*x^2+5470524*x*y-2040505452], [1013/9009, true, -120-36*x^2+24*x*y-18*y^2+120*x+30*y, 490070900*y+1918126100*x-30921340*y^2-56885980*x^2+44021920*x*y-21455254800], [26/231, true, 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25780177500*y+11289547500*x-501745000*y^2-282190000*x^2+222272500*x*y-386850462500], [1033/9009, true, -7020-900*x^2+1080*x*y-1350*y^2+2520*x+5670*y, 80669046304*y+46084035844*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-1352652522024], [94/819, true, -20412+11664*y+11664*x-2916*y^2-2916*x^2+2916*x*y, 175472527824*y+175472527824*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-3736767240252], [115/1001, true, -50400-7056*x^2+6048*x*y-5292*y^2+36288*x+20412*y, 320084918010*y+537168986640*x-7829434210*y^2-10022202580*x^2+9192506440*x*y-9058438079600], [148/1287, true, -110160-14400*x^2+10800*x*y-8640*y^2+90000*x+32400*y, 522225289300*y+1374079778500*x-13789450480*y^2-21533582200*x^2+18083895700*x*y-19902655811220], [80/693, true, 3264-144*x^2+384*x*y+576*y^2-240*x-3840*y, -42885324790*y+8403224060*x+485077046*y^2-447442024*x^2+589312264*x*y+398606033184], [1042/9009, true, -8160-400*x^2+640*x*y-1600*y^2+560*x+8960*y, 116522532126*y+57348807516*x-1828116810*y^2-1059626880*x^2+629674344*x*y-1943029996596], [149/1287, true, -26880-2304*x^2+3072*x*y-4608*y^2+6144*x+24576*y, 338169666560*y+154575703040*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-5668072992000], [116/1001, true, -67200-7056*x^2+8064*x*y-9408*y^2+27216*x+48384*y, 699002376930*y+457772849820*x-12103719610*y^2-9667057720*x^2+10086179080*x*y-13291705653800], [95/819, true, -147456-16384*x^2+16384*x*y-16384*y^2+81920*x+81920*y, 1232399646720*y+1232399646720*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-27986675613696], [50/429, true, 13000-400*x^2+1000*x*y+2000*y^2-600*x-15000*y, -170092737540*y+53504567820*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+1592865639900], [1052/9009, true, -27300-900*x^2+1500*x*y-4500*y^2+1200*x+30000*y, 385541016080*y+218559284240*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-7132521604380], [9/77, true, -81200-4900*x^2+7000*x*y-12250*y^2+12600*x+78750*y, 1060293082860*y+456559573140*x-14448008340*y^2-8349690060*x^2+7475954400*x*y-18593609972400], [1054/9009, true, -183600-14400*x^2+18000*x*y-24000*y^2+54000*x+150000*y, 2106713794900*y+1088249512900*x-29741740240*y^2-20482974040*x^2+21179593300*x*y-39313448420820], [1060/9009, true, 39960-900*x^2+2160*x*y+5400*y^2-1260*x-45360*y, -519352921934*y+219054267586*x+4653835610*y^2-4935868150*x^2+4182015064*x*y+4889647467324], [118/1001, true, -74592-1764*x^2+3024*x*y-10584*y^2+2268*x+81648*y, 1041117818598*y+676014548418*x-12002067094*y^2-8314155274*x^2+2971450984*x*y-21216214104452], [1063/9009, true, -207360+207360*y+23040*x-27648*y^2-9216*x^2+13824*x*y, 2749885600000*y+1204218400000*x-32111680000*y^2-18060160000*x^2+14225440000*x*y-51189060000000], [1070/9009, true, 102900-1764*x^2+4116*x*y+12348*y^2-2352*x-115248*y, -1328196915760*y+695491831760*x+10643161460*y^2-12353301580*x^2+8899970620*x*y+12541305329700], [1072/9009, true, -176400-3136*x^2+5488*x*y-21952*y^2+3920*x+192080*y, 2436010542900*y+1790888408100*x-24939664560*y^2-19074917880*x^2+5588228340*x*y-54265915091700], [120/1001, true, 232960-3136*x^2+7168*x*y+25088*y^2-4032*x-258048*y, -2987687131110*y+1860296589360*x+21552040710*y^2-27417491820*x^2+17253234360*x*y+28234096840800], [1082/9009, true, 8+4*x^2+4*x*y+4*y^2-12*x-12*y, -112284172*y-96428332*x+3596684*y^2+2875964*x^2+3014284*x*y+826582848], [361/3003, true, -28-2*x^2-8*x*y-2*y^2+18*x+18*y, 181112448*y+198427548*x-1493752*y^2-2018452*x^2-7989008*x*y-3197859728], [1084/9009, true, -672-64*x^2-104*x*y-16*y^2+464*x+272*y, 2182132656*y+4186754352*x-11503728*y^2-57063312*x^2-76180392*x*y-62781803136], [362/3003, true, -16600-1340*x^2-980*x*y-380*y^2+10980*x+5220*y, 38211578196*y+77069651604*x-340192804*y^2-928951492*x^2-477541004*x*y-1304611405760], [1087/9009, true, -47892-3406*x^2-1976*x*y-1066*y^2+30758*x+14378*y, 102053353248*y+191200415868*x-928482696*y^2-2086236756*x^2-793771056*x*y-3473155830672], [1088/9009, true, 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100360238000*y+41989838000*x-1015820500*y^2-352520500*x^2-249273500*x*y-2049886339500], [122/1001, true, -76464-3024*x^2-864*x*y-3024*y^2+31104*x+31104*y, 205284347136*y+64672144416*x-1868182056*y^2-447856776*x^2-410794416*x*y-4095157167576], [157/1287, true, -155036-5488*x^2-1372*x*y-5488*y^2+61740*x+61740*y, 371820396640*y+78975228640*x-3064367488*y^2-402138688*x^2-631635872*x*y-7187464800096], [100/819, true, 4*y+4*x-4*y^2-4*x^2+4*x*y, -54705240+60175764*y+60175764*x-5470524*y^2-5470524*x^2+5470524*x*y], [1103/9009, true, -60+2*x^2-8*x*y-4*y^2+10*x+40*y, 202482720*y+40819680*x-1367712*y^2+1571616*x^2-4627584*x*y-3287113920], [368/3003, true, -480+12*x^2-36*x*y-36*y^2+36*x+324*y, 1683933108*y-81377868*x-13868572*y^2+12878564*x^2-23291132*x*y-25063259480], [85/693, true, -2040+36*x^2-96*x*y-144*y^2+84*x+1344*y, 5968538884*y-1169513576*x-48221644*y^2+44480336*x^2-58583696*x*y-84873489480], [158/1287, true, -6240+80*x^2-200*x*y-400*y^2+160*x+4000*y, 13703342400*y-4310539200*x-103528800*y^2+101174400*x^2-104382000*x*y-186651388800], [123/1001, true, -15540+150*x^2-360*x*y-900*y^2+270*x+9720*y, 22354853400*y-9428898600*x-155803000*y^2+165245000*x^2-140007200*x*y-290084718800], [1108/9009, true, -33600+252*x^2-588*x*y-1764*y^2+420*x+20580*y, 22981927540*y-12034166540*x-147327772*y^2+171000356*x^2-123197684*x*y-281985628440], [101/819, true, -12-4*x^2+4*x*y-4*y^2+8*x+8*y, 120351528*y+120351528*x-5470524*y^2-5470524*x^2+5470524*x*y-2040505452], [53/429, true, 140-32*x^2+52*x*y-8*y^2+36*x-108*y, -1345613016*y+578870952*x-24550096*y^2-53708944*x^2+89876344*x*y+19917865720], [1114/9009, true, 504-88*x^2+112*x*y+8*y^2+224*x-448*y, -8018220672*y+5108818176*x-26822448*y^2-197303472*x^2+261910368*x*y+93426770736], [1115/9009, true, 1268-188*x^2+196*x*y+52*y^2+720*x-1200*y, -28379520400*y+22629714800*x+9107924*y^2-570542476*x^2+626773252*x*y+285522998796], [124/1001, true, 2648-344*x^2+304*x*y+136*y^2+1728*x-2592*y, -79018058592*y+73662560928*x+135948776*y^2-1406279704*x^2+1324426864*x*y+698510176888], [1117/9009, true, 4908-568*x^2+436*x*y+272*y^2+3500*x-4900*y, 1465776744768-3088447488*x^2+2559041856*x*y+438746112*y^2+198981921600*x-189009374400*y], [160/1287, true, 160-64*x^2+104*x*y-16*y^2+48*x-144*y, -1351930448*y+581588656*x-36998032*y^2-80941648*x^2+135447448*x*y+19424865600], [1121/9009, true, -200+50*y+200*x-30*y^2-60*x^2+40*x*y, 719665760*y+2816755040*x-45407776*y^2-83536672*x^2+64645888*x*y-31506894720], [34/273, true, -648+324*y+324*x-108*y^2-108*x^2+108*x*y, 4874236884*y+4874236884*x-147704148*y^2-147704148*x^2+147704148*x*y-111664335888], [1123/9009, true, -980-322*x^2+392*x*y-238*y^2+882*x+294*y, 7109607736*y+12641164228*x-371718832*y^2-443557228*x^2+558772528*x*y-205268756400], [1124/9009, true, -896-864*x^2+976*x*y-384*y^2+3008*x-832*y, -3854380288*y+44762508032*x-736151296*y^2-1288615936*x^2+1559902144*x*y-284312945664], [1126/9009, true, 2200-3820*x^2+3380*x*y-460*y^2+21300*x-12300*y, -175100329580*y+388947164980*x-1874768836*y^2-7002473332*x^2+6933180028*x*y-373490908560], [1130/9009, true, 1248-352*x^2+448*x*y+32*y^2+640*x-1280*y, -13725771840*y+8745390720*x-64281384*y^2-472847976*x^2+627681744*x*y+158161057704], [29/231, true, -1500+180*y+1620*x-120*y^2-360*x^2+180*x*y, 2215089096*y+24033678504*x-202080784*y^2-532665472*x^2+337037656*x*y-241888348280], [1132/9009, true, -5952-576*x^2+384*x*y-576*y^2+2688*x+2688*y, 35753753728*y+42057059968*x-750248896*y^2-832110016*x^2+571828864*x*y-981347819712], [103/819, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [18/143, true, -21312-3264*x^2+3456*x*y-2496*y^2+13824*x+6912*y, 124761881376*y+199491491232*x-3748850968*y^2-4503695512*x^2+4977259888*x*y-4014558886856], [1135/9009, true, -34092-6912*x^2+6948*x*y-3888*y^2+34380*x+4140*y, 124080848320*y+502771023040*x-6532973824*y^2-9975611776*x^2+10809932224*x*y-6858656415936], [380/3003, true, 5936-1316*x^2+1372*x*y+364*y^2+3780*x-6300*y, -70719933900*y+56391789300*x+30261812*y^2-1895673388*x^2+2082504676*x*y+764795333848], [163/1287, true, -6936-1360*x^2+544*x*y-340*y^2+7616*x+476*y, 4177833660*y+120423663360*x-639270900*y^2-2148957000*x^2+1170026640*x*y-1177159010760], [1142/9009, true, -28000-2000*x^2+1000*x*y-2000*y^2+12000*x+12000*y, 152153672000*y+198327272000*x-2552692000*y^2-3077392000*x^2+1647346000*x*y-4681130448000], [127/1001, true, -59524-4094*x^2+3496*x*y-4784*y^2+21114*x+27324*y, 376832160936*y+338908207176*x-6180653416*y^2-5797583176*x^2+4748535904*x*y-10333104185936], [8/63, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [1150/9009, true, 20680-3784*x^2+3344*x*y+1496*y^2+14784*x-22176*y, -255358892096*y+238051785664*x+564864656*y^2-5843066224*x^2+5502969184*x*y+2684721845040], [1151/9009, true, -23660-3900*x^2+1300*x*y-780*y^2+26000*x+1040*y, 3968610800*y+438245654000*x-1638183100*y^2-6573149500*x^2+3186170500*x*y-4257650573700], [128/1001, true, -93960-5400*x^2+2160*x*y-5400*y^2+38880*x+38880*y, 480543386400*y+680601398400*x-6832917000*y^2-8853705000*x^2+3957886800*x*y-16168113523800], [1153/9009, true, -197540-9928*x^2+7412*x*y-12784*y^2+62220*x+90780*y, 1202925555040*y+1066088356960*x-16016887552*y^2-14772913024*x^2+10162401376*x*y-34761057814560], [1160/9009, true, 58368-9088*x^2+6976*x*y+4352*y^2+44800*x-62720*y, -734436426240*y+773186895360*x+2131052544*y^2-15001030656*x^2+12429631872*x*y+7599024101376], [129/1001, true, -65712-9324*x^2+2664*x*y-1554*y^2+71928*x+1998*y, -5066056512*y+1289472904368*x-3641344384*y^2-16717495504*x^2+7385033344*x*y-12551063124032], [166/1287, true, -255192-12348*x^2+4116*x*y-12348*y^2+102900*x+102900*y, 1251924034900*y+1906642160500*x-15581226388*y^2-21533209348*x^2+8400197596*x*y-45439581661152], [10/77, true, 141680-19184*x^2+13024*x*y+10384*y^2+114048*x-152064*y, -1802043638208*y+2098672161696*x+5664652088*y^2-33736517608*x^2+25075617808*x*y+18442970700040], [1171/9009, true, -157500+3500*y+171500*x-2800*y^2-19600*x^2+4900*x*y, -35780611680*y+3260713531680*x-7304501376*y^2-37272629952*x^2+15259559328*x*y-31890906917280], [391/3003, true, 108+18*x^2+24*x*y+18*y^2-90*x-90*y, -798988740*y-738843270*x+15153008*y^2+13330418*x^2+18117544*x*y+10618234708], [1174/9009, true, -252-12*x^2-36*x*y-12*y^2+120*x+120*y, 1239286840*y+1313861560*x-10307524*y^2-12002404*x^2-35716172*x*y-29024320524], [1175/9009, true, -4368-238*x^2-392*x*y-112*y^2+2170*x+1540*y, 13539603330*y+20299139190*x-93409794*y^2-216310446*x^2-305529624*x*y-430295076036], [56/429, true, -24840-1296*x^2-1464*x*y-576*y^2+12168*x+7848*y, 66687170748*y+104024870268*x-513981616*y^2-1079704336*x^2-992860124*x*y-2320669500380], [107/819, true, -88740-4182*x^2-3672*x*y-1938*y^2+42126*x+26418*y, 220637981872*y+333182840914*x-1755509692*y^2-3217131238*x^2-2219837288*x*y-7961125943700], [1178/9009, true, -243012-10252*x^2-7436*x*y-4972*y^2+111760*x+69520*y, 571454302320*y+820369194480*x-4470434172*y^2-7299012492*x^2-4046729436*x*y-20973280251852], [131/1001, true, -559872-21222*x^2-13176*x*y-10692*y^2+250290*x+155520*y, 1256336473590*y+1705230078750*x-9446314414*y^2-13980593254*x^2-6487905992*x*y-46463398662044], [394/3003, true, 112+8*x^2+32*x*y+8*y^2-72*x-72*y, -664648512*y-728191662*x+5481788*y^2+7407338*x^2+29318152*x*y+11735541832], [1184/9009, true, -464-24*x^2-32*x*y-24*y^2+200*x+200*y, 1858231100*y+1718349050*x-21145072*y^2-18601762*x^2-25281896*x*y-46290985692], [395/3003, true, -5888-256*x^2-256*x*y-256*y^2+2304*x+2304*y, 21084746496*y+18107333376*x-225128704*y^2-180016384*x^2-188674304*x*y-566215277312], [1186/9009, true, -28944-1080*x^2-864*x*y-1080*y^2+10584*x+10584*y, 94867015320*y+75694789170*x-933921900*y^2-684931950*x^2-596234520*x*y-2671374777120], [1187/9009, true, -94208-3072*x^2-2048*x*y-3072*y^2+32768*x+32768*y, 286557421568*y+212066336768*x-2591882752*y^2-1745393152*x^2-1328903168*x*y-8318823702528], [12/91, true, -242000-7000*x^2-4000*x*y-7000*y^2+81000*x+81000*y, 689056384500*y+471412928250*x-5734219000*y^2-3535800250*x^2-2451893000*x*y-20392868406500], [1189/9009, true, -532224-13824*x^2-6912*x*y-13824*y^2+172800*x+172800*y, 1426432550400*y+898025356800*x-10956321792*y^2-6152620032*x^2-4022493696*x*y-42703855713792], [397/3003, true, 100-120*y-30*x+20*y^2-10*x^2+40*x*y, -1313606646*y-264817674*x+14788386*y^2-16993098*x^2+50035752*x*y+12391695900], [1192/9009, true, 44+4*x^2+4*x*y+4*y^2-24*x-24*y, -268988456*y-231004136*x+4308116*y^2+3444836*x^2+3610516*x*y+5115021636], [1193/9009, true, -76-2*x^2-8*x*y-2*y^2+30*x+30*y, 173708480*y+190315730*x-859612*y^2-1161562*x^2-4597448*x*y-5043690816], [398/3003, true, 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73693773824*y+288435716096*x-2906097664*y^2-5346347008*x^2+4137336832*x*y-3584412610560], [138/1001, true, -56936-4576*x^2+3344*x*y-3916*y^2+26136*x+20196*y, 278771309784*y+387426336264*x-5309033224*y^2-6406558744*x^2+4986322816*x*y-9398727196544], [113/819, true, -89856+34560*y+34560*x-6912*y^2-6912*x^2+6912*x*y, 519918600960*y+519918600960*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-16004039844096], [1250/9009, true, 26780-9932*x^2+8788*x*y-1196*y^2+44304*x-25584*y, -272787881872*y+605938741232*x-3650865628*y^2-13636395436*x^2+13501455844*x*y+3395417483700], [139/1001, true, -67280-10150*x^2+5800*x*y-4060*y^2+65250*x+10440*y, 141237978750*y+940170948750*x-6477333750*y^2-14547363750*x^2+10101375000*x*y-10767570367500], [1252/9009, true, -185920-12032*x^2+6976*x*y-9344*y^2+85440*x+58560*y, 766390264420*y+1284688829380*x-12628095448*y^2-17339900584*x^2+11321822452*x*y-30251352095580], [20/143, true, 73872-22248*x^2+17568*x*y-648*y^2+121176*x-73224*y, 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686301715616*y+923036103968*x-4700646688*y^2-7390810192*x^2-6196472888*x*y-27934915764480], [141/1001, true, -780704-22072*x^2-18848*x*y-12772*y^2+283464*x+199764*y, 1727012437524*y+2236056151824*x-11572672932*y^2-16714528632*x^2-11743794288*x*y-72016434522144], [1273/9009, true, 756+36*x^2+108*x*y+36*y^2-360*x-360*y, -3347232680*y-3548654120*x+27839948*y^2+32417708*x^2+96467044*x*y+78392790948], [425/3003, true, -2124-72*x^2-108*x*y-72*y^2+756*x+756*y, 7047136536*y+6683846136*x-63079312*y^2-57574912*x^2-87390968*x*y-215023022024], [116/819, true, -24624-720*x^2-864*x*y-720*y^2+8064*x+8064*y, 74605041280*y+67293059680*x-635535400*y^2-540574600*x^2-666722480*x*y-2443923195480], [1277/9009, true, -113724+34992*y+34992*x-2916*y^2-2916*x^2-2916*x*y, 320224587408*y+275005125648*x-2564356644*y^2-2050499124*x^2-2149118244*x*y-11033104623876], [142/1001, true, -353664-8064*x^2-6912*x*y-8064*y^2+103680*x+103680*y, 936227571840*y+765636854400*x-7020116032*y^2-5296977472*x^2-4873456256*x*y-33467859881792], [1279/9009, true, -877500-18000*x^2-13500*x*y-18000*y^2+247500*x+247500*y, 2201077120000*y+1713205120000*x-15448576000*y^2-11013376000*x^2-9122432000*x*y-80865079680000], [1282/9009, true, 1344+32*x^2+208*x*y+128*y^2-544*x-928*y, -9823657536*y-5426422848*x+110630016*y^2+10692864*x^2+225269856*x*y+158857711488], [1283/9009, true, 348+18*x^2+24*x*y+18*y^2-150*x-150*y, -1650635800*y-1526380900*x+18782816*y^2+16523636*x^2+22457488*x*y+41119513176], [428/3003, true, -552-12*x^2-36*x*y-12*y^2+180*x+180*y, 1233495780*y+1307722020*x-6839572*y^2-7964212*x^2-23699516*x*y-42553625072], [1285/9009, true, -8820-112*x^2-392*x*y-238*y^2+2156*x+3038*y, 26188181712*y+17870618304*x-174403152*y^2-66382848*x^2-331406208*x*y-834567239520], [1286/9009, true, -48192-576*x^2-1464*x*y-1296*y^2+10464*x+16224*y, 144123688544*y+80772812384*x-1001544016*y^2-281647696*x^2-1272450344*x*y-4613886897312], [1/7, true, 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42659397968*y+27552650576*x-164012332*y^2+7655252*x^2-641507108*x*y-1532145569196], [144/1001, true, -75800-40*x^2-2480*x*y-1480*y^2+11520*x+24480*y, 187450946496*y+80947335744*x-881816976*y^2+193977072*x^2-2023253856*x*y-6383194495920], [1297/9009, true, -217476-168*x^2-5292*x*y-4368*y^2+28140*x+70140*y, 549313853440*y+173208893440*x-2738126848*y^2+681009152*x^2-4511270912*x*y-18400316368896], [100/693, true, -432*x^2+216*x*y-144*y^2+1296*x+144*y, 1830466528*y+19860530272*x-250487968*y^2-660262144*x^2+417772912*x*y-1579978560], [62/429, true, 1440+108*x^2+108*x*y-36*y^2-972*x-108*y, 421844676*y-9037942716*x-43112668*y^2+100217444*x^2+73442164*x*y+126553165480], [1303/9009, true, 2808+54*x^2+216*x*y-36*y^2-1134*x-504*y, -4585959224*y-16307749304*x-73445656*y^2+78785384*x^2+266007136*x*y+392979155088], [145/1001, true, -18000+108*x^2-864*x*y-144*y^2+2916*x+5184*y, 7691441868*y+4891852152*x-6477628*y^2+21801056*x^2-142427408*x*y-310906408160], [1306/9009, true, 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104639483872*y+167316222304*x-4042558552*y^2-4856542168*x^2+5367208432*x*y-910211896200], [121/819, true, -20412+11664*y+11664*x-2916*y^2-2916*x^2+2916*x*y, 175472527824*y+175472527824*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-3736767240252], [148/1001, true, -23976-2808*x^2+3888*x*y-3672*y^2+7776*x+15552*y, 251313220224*y+136605566592*x-5004984784*y^2-3846321616*x^2+4932934816*x*y-5160179967152], [1333/9009, true, -4212-3672*x^2+6804*x*y-4752*y^2+2700*x+13500*y, 281692444000*y+70204367200*x-6855395584*y^2-4932776704*x^2+8589110368*x*y-3763647551904], [1340/9009, true, 768+4416*y+36672*x-5184*y^2-9216*x^2+9264*x*y, 120932528288*y+490014146336*x-7959014752*y^2-12153124048*x^2+13169562952*x*y-795323408256], [149/1001, true, -60000+24300*y+43200*x-6300*y^2-8400*x^2+7200*x*y, 364404368196*y+611546230944*x-8913509716*y^2-11409892168*x^2+10465315024*x*y-10312683352160], [122/819, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [150/1001, true, 17920-20992*x^2+19456*x*y-8704*y^2+101376*x-9216*y, 15809447808*y+1352051471232*x-14472900288*y^2-27970294464*x^2+28626417792*x*y+890505161280], [193/1287, true, -156060-20400*x^2+15300*x*y-12240*y^2+127500*x+45900*y, 678118936000*y+1784267320000*x-17905849600*y^2-27961744000*x^2+23482264000*x*y-25843956734400], [1355/9009, true, 2000+100*x^2+160*x*y+100*y^2-900*x-900*y, -7666672750*y-7365836500*x+79589750*y^2+74120000*x^2+119608600*x*y+188463360000], [452/3003, true, -3400-80*x^2-200*x*y-80*y^2+1080*x+1080*y, 11328870300*y+11722217100*x-73211800*y^2-79171600*x^2-196875500*x*y-393777036500], [1357/9009, true, -46020+12194*y+14924*x-754*y^2-1144*x^2-1976*x*y, 112904909964*y+142681221144*x-655330284*y^2-1042035624*x^2-1621934496*x*y-4696229217960], [194/1287, true, -232540-5588*x^2-7436*x*y-3476*y^2+74448*x+57552*y, 520145876624*y+670056853136*x-3107013772*y^2-4810547596*x^2-5607469652*x*y-23002636750140], [151/1001, true, -763840-16988*x^2-18848*x*y-10664*y^2+237708*x+180792*y, 1616281919406*y+2039445991044*x-9648979942*y^2-13923364504*x^2-13354200104*x*y-74134928889560], [124/819, true, 2944+96*x^2+256*x*y+96*y^2-1120*x-1120*y, -10437328330*y-10896722980*x+76870274*y^2+85222904*x^2+225798664*x*y+303903875496], [1366/9009, true, -6656-160*x^2-256*x*y-160*y^2+2016*x+2016*y, 18814916890*y+18076629340*x-139516150*y^2-129928000*x^2-209666840*x*y-678199762740], [1367/9009, true, -72704-1536*x^2-2048*x*y-1536*y^2+20480*x+20480*y, 190282864640*y+175958942720*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-7318249971072], [152/1001, true, -321408-6048*x^2-6912*x*y-6048*y^2+85536*x+85536*y, 789408274446*y+703311879996*x-5337783198*y^2-4468122648*x^2-5272075512*x*y-31887460736208], [1369/9009, true, -966656-16384*x^2-16384*x*y-16384*y^2+245760*x+245760*y, 2249039626240*y+1931448893440*x-14408237056*y^2-11521048576*x^2-12075155456*x*y-94367199903744], [1373/9009, true, 6864+176*x^2+616*x*y+374*y^2-2420*x-3410*y, -35407490580*y-24161805360*x+330120252*y^2+125653248*x^2+627304608*x*y+793401854112], [458/3003, true, 1416+48*x^2+72*x*y+48*y^2-504*x-504*y, -5500822404*y-5217246804*x+49238168*y^2+44941568*x^2+68215252*x*y+167841711436], [125/819, true, -2112-36*x^2-96*x*y-36*y^2+588*x+588*y, 4248414478*y+4435406668*x-22349506*y^2-24777976*x^2-65649416*x*y-170233999572], [1376/9009, true, -29700-340*x^2-980*x*y-580*y^2+6640*x+8560*y, 74832542928*y+56338291152*x-438933924*y^2-228771972*x^2-822871764*x*y-2856175599420], [153/1001, true, -153000-1632*x^2-3672*x*y-2958*y^2+31212*x+43146*y, 388746712728*y+254073673656*x-2352929224*y^2-992595496*x^2-3147610496*x*y-14985143371520], [106/693, true, -508656-5184*x^2-9264*x*y-9216*y^2+98160*x+138480*y, 1253969153140*y+755031384580*x-7451045248*y^2-2915247352*x^2-7897348652*x*y-49568377778628], [461/3003, 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24000+192*x^2+1152*x*y-144*y^2-6912*x-3888*y, -45278937594*y-115727885856*x-382859662*y^2+328745876*x^2+1680445336*x*y+3924075108760], [470/3003, true, -7000-2000*x^2+1000*x*y-2000*y^2+9000*x+9000*y, 118959769500*y+155060119500*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-1363269108500], [1411/9009, true, -6936+7616*y+476*x-1360*y^2-340*x^2+544*x*y, 107390142090*y+52854125940*x-1684839150*y^2-976579200*x^2+580323960*x*y-1790746078140], [1412/9009, true, 8876+364*x^2+1372*x*y-1316*y^2-8400*x+5040*y, 94183635920*y-64801430320*x-1663416148*y^2+143232332*x^2+1186295116*x*y-114504288732], [157/1001, true, 36872+352*x^2+2728*x*y-1298*y^2-15444*x-594*y, 44803951236*y-180142809264*x-1899994108*y^2+372195392*x^2+2894857888*x*y+3636077803312], [202/1287, true, 70224-64*x^2+3856*x*y-1024*y^2-18640*x-9040*y, -63666577260*y-274203818460*x-1982762496*y^2-68787576*x^2+5123099124*x*y+9608402731356], [1420/9009, true, -15752-3916*x^2+3344*x*y-4576*y^2+15708*x+20328*y, 287799094198*y+258835325518*x-6069044506*y^2-5692891666*x^2+4662787864*x*y-3274535650932], [203/1287, true, -22400-1920*x^2+2560*x*y-3840*y^2+5120*x+20480*y, 299826019328*y+137049009152*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-5025393849600], [1423/9009, true, 54784-1024*x^2+6656*x*y-4096*y^2-23040*x+7680*y, 232449859840*y-250318872320*x-5894929408*y^2-1506122752*x^2+7563497728*x*y+3529853782272], [10/63, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [159/1001, true, -60000-6300*x^2+7200*x*y-8400*y^2+24300*x+43200*y, 645108948198*y+422478336852*x-11170516846*y^2-8921722792*x^2+9308529688*x*y-12266908578680], [1432/9009, true, -45456-5184*x^2+9264*x*y-9216*y^2+5520*x+45840*y, 750001748980*y+200797609540*x-12354469312*y^2-7361704408*x^2+11072543188*x*y-12928359900132], [160/1001, true, -36352-19328*x^2+19456*x*y-15488*y^2+86400*x+51840*y, 836698817790*y+1214905552740*x-21989695198*y^2-25809965248*x^2+27076383976*x*y-9198042194432], [131/819, true, -147456-16384*x^2+16384*x*y-16384*y^2+81920*x+81920*y, 1232399646720*y+1232399646720*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-27986675613696], [482/3003, true, 5400+180*x^2+300*x*y+180*y^2-1980*x-1980*y, -16694493420*y-16165500780*x+141209420*y^2+133194380*x^2+223474900*x*y+503330040400], [1447/9009, true, -8460-150*x^2-360*x*y-150*y^2+2310*x+2310*y, 24313582216*y+25010781796*x-138954640*y^2-148009180*x^2-353612336*x*y-981392545056], [1448/9009, true, -107520-1984*x^2-3488*x*y-1408*y^2+29824*x+25216*y, 236025092160*y+286463960640*x-1231476480*y^2-1804645440*x^2-2901253680*x*y-11064420806400], [23/143, true, -524880-9396*x^2-13176*x*y-6318*y^2+143856*x+116154*y, 1062944593920*y+1310145914880*x-5638973440*y^2-8135956480*x^2-10195681280*x*y-52568047001600], [485/3003, true, 8500+200*x^2+500*x*y+200*y^2-2700*x-2700*y, -25186976760*y-26061487320*x+162768560*y^2+176018720*x^2+437704600*x*y+875467085800], [1457/9009, true, -16700-300*x^2-500*x*y-300*y^2+4400*x+4400*y, 41087369840*y+39785448560*x-260651380*y^2-245856820*x^2-412501100*x*y-1707472532700], [162/1001, true, -174800-2800*x^2-4000*x*y-2800*y^2+43200*x+43200*y, 402219623520*y+377613624960*x-2459942680*y^2-2211397240*x^2-3205763600*x*y-17728825354760], [1459/9009, true, -747900-10800*x^2-13500*x*y-10800*y^2+175500*x+175500*y, 1626606036000*y+1481802141600*x-9529488000*y^2-8213088960*x^2-10515679200*x*y-75106723940640], [488/3003, true, 22960+476*x^2+1372*x*y+812*y^2-6972*x-8988*y, -92232417420*y-69437928780*x+721324980*y^2+375953940*x^2+1352271780*x*y+2618945703000], [1465/9009, true, 4160+100*x^2+160*x*y+100*y^2-1260*x-1260*y, -13688167724*y-13151051144*x+101500340*y^2+94524800*x^2+152536144*x*y+493401706584], [1466/9009, true, -5920-80*x^2-200*x*y-80*y^2+1440*x+1440*y, 10678997120*y+11049779840*x-51759040*y^2-55972480*x^2-139186400*x*y-487530685440], [163/1001, true, -77012-754*x^2-1976*x*y-1144*y^2+15678*x+19188*y, 168813892368*y+134622159408*x-880401744*y^2-535030704*x^2-1649578176*x*y-7462802162592], [1468/9009, true, -381040-3476*x^2-7436*x*y-5588*y^2+71940*x+93060*y, 843311434900*y+601676670100*x-4507117420*y^2-2310437740*x^2-6318700340*x*y-37727153524200], [491/3003, true, 37260+864*x^2+2196*x*y+1944*y^2-11772*x-18252*y, -199523011512*y-111820859832*x+1848699824*y^2+519879344*x^2+2348752216*x*y+4520962535320], [134/819, true, 20520+600*x^2+720*x*y+600*y^2-6720*x-6720*y, -74468151296*y-67169586176*x+634369280*y^2+539582720*x^2+665499136*x*y+2439438932736], [1475/9009, true, 5940+116*x^2+196*x*y+68*y^2-1712*x-1328*y, -20633587920*y-27746761680*x+99750420*y^2+180581940*x^2+269444340*x*y+1030125937500], [164/1001, true, -39960-360*x^2-1200*x*y-360*y^2+8640*x+8640*y, 56078668800*y+60217043040*x-187612600*y^2-229414360*x^2-757677200*x*y-2929325719880], [38/231, true, 36520+836*x^2+2156*x*y+2948*y^2-11484*x-24156*y, -278837432940*y-85539663660*x+2896595420*y^2-32158660*x^2+2656428340*x*y+4637825483200], [1483/9009, true, 36180+1350*x^2+1080*x*y+1350*y^2-13230*x-13230*y, -150137363376*y-119795231556*x+1478032920*y^2+1083979260*x^2+943605936*x*y+4227740951616], [212/1287, true, 32128+864*x^2+976*x*y+384*y^2-10816*x-6976*y, -78104272576*y-121834330816*x+451482944*y^2+948415424*x^2+872131216*x*y+3962891885568], [15/91, true, 7840+104*x^2+248*x*y+38*y^2-2052*x-1458*y, -41491676160*y-66281149440*x+78402560*y^2+328801280*x^2+681410560*x*y+2612891238400], [1486/9009, true, -96120-540*x^2-2700*x*y-540*y^2+18900*x+18900*y, 90395781300*y+101192562900*x-166809780*y^2-264962340*x^2-1309940100*x*y-5311949129280], [71/429, true, 16900-520*x^2+1300*x*y+2600*y^2-780*x-19500*y, -239465908440*y+75326672520*x+2412221040*y^2-2357363520*x^2+2432100600*x*y+2242523831400], [1492/9009, true, 31040+1600*x^2+640*x*y+1600*y^2-13440*x-13440*y, -156917809664*y-82058729984*x+1780079360*y^2+807883520*x^2+515628544*x*y+3248690145024], [1493/9009, true, 49700+1876*x^2+1372*x*y+532*y^2-20496*x-9744*y, -97884870160*y-197425837840*x+653592380*y^2+1784739740*x^2+917471380*x*y+5348838551700], [166/1001, true, 60640+1184*x^2+1984*x*y+32*y^2-19584*x-9216*y, -93884313600*y-246655886400*x-53713800*y^2+1489433400*x^2+2004080400*x*y+7810376805000], [115/693, true, 30644+256*x^2+964*x*y+16*y^2-7380*x-4980*y, -106345057280*y-194836167680*x-131805184*y^2+672659456*x^2+2197156864*x*y+8129440349184], [500/3003, true, 900*y+22500*x-900*y^2-4500*x^2+1500*x*y, 3613796340*y+399064211700*x-1988961340*y^2-7980634300*x^2+3868413700*x*y-1624835000], [1502/9009, true, 31200+2000*x^2+1000*x*y-400*y^2-20000*x-800*y, 20896064640*y-126725385600*x-414607680*y^2+1262908800*x^2+354304800*x*y+1757046435840], [167/1001, true, 78300+2250*x^2+3000*x*y-900*y^2-33750*x-5400*y, -2318968080*y-346582407600*x-1168109680*y^2+2309298800*x^2+2383067200*x*y+7678956724960], [1504/9009, true, 122400+1500*x^2+4500*x*y-900*y^2-37500*x-13500*y, -99133875500*y-491105763500*x-1580856700*y^2+1982524100*x^2+4964147500*x*y+15537073854600], [1510/9009, true, -24840-5400*x^2+2160*x*y-5400*y^2+30240*x+30240*y, 392977702656*y+556580699136*x-7184324160*y^2-9309038400*x^2+4161435264*x*y-5062310882496], [1511/9009, true, -23660+26000*y+1040*x-3900*y^2-780*x^2+1300*x*y, 363053205680*y+205811173040*x-4810912060*y^2-3024070780*x^2+1370614900*x*y-6716496364980], [24/143, true, 29128+1496*x^2+3344*x*y-3784*y^2-28512*x+19008*y, 332874704448*y-179824087872*x-4646058664*y^2+532717016*x^2+2567375824*x*y-1457864888792], [1520/9009, true, -56320-9344*x^2+6976*x*y-12032*y^2+46848*x+68352*y, 943263210560*y+835963557440*x-15699372160*y^2-14480057920*x^2+9960944080*x*y-12054030700800], [13/77, true, -67280-4060*x^2+5800*x*y-10150*y^2+10440*x+65250*y, 943253372160*y+406162563840*x-12853175040*y^2-7428015360*x^2+6650726400*x*y-16541167334400], [1522/9009, true, 5720-1196*x^2+8788*x*y-9932*y^2-31980*x+55380*y, 919608675700*y-136626046700*x-12748349380*y^2-3146215540*x^2+8776541020*x*y-10142451118800], [170/1001, true, -97200-18576*x^2+17568*x*y-22032*y^2+88128*x+119232*y, 1722129916320*y+1443214270080*x-29329508920*y^2-26512179160*x^2+23868514480*x*y-21844322700200], [1531/9009, true, -156060+127500*y+45900*x-20400*y^2-12240*x^2+15300*x*y, 1884902562400*y+973670130400*x-26610298240*y^2-18326367040*x^2+18949640800*x*y-35174222452320], [1537/9009, true, 12348+294*x^2+504*x*y+294*y^2-3822*x-3822*y, -31990405832*y-31140212642*x+228256124*y^2+217214654*x^2+374407384*x*y+1141937193588], [1538/9009, true, -18228-252*x^2-588*x*y-252*y^2+4368*x+4368*y, 46081614128*y+47207204528*x-235326172*y^2-248116972*x^2-576657068*x*y-2117209507308], [171/1001, true, -221312-3154*x^2-5624*x*y-2356*y^2+53694*x+46512*y, 438561521046*y+517366190682*x-2068501158*y^2-2864507922*x^2-4722826392*x*y-22910869844676], [1546/9009, true, 20304+360*x^2+864*x*y+360*y^2-5544*x-5544*y, -51745449140*y-53229266090*x+295730600*y^2+315000950*x^2+752576440*x*y+2088651420240], [172/1001, true, -36144-504*x^2-864*x*y-504*y^2+8424*x+8424*y, 78687522936*y+76596283566*x-436680796*y^2-415557166*x^2-716285336*x*y-3702990634916], [1549/9009, true, -366336+80640*y+80640*x-4608*y^2-4608*x^2-6912*x*y, 751694563840*y+712943587840*x-4037075968*y^2-3684794368*x^2-5593021952*x*y-37323772002816], [1555/9009, true, 60180+986*x^2+2584*x*y+1496*y^2-15946*x-19516*y, -198695547666*y-158451554646*x+1332310086*y^2+809660826*x^2+2496303144*x*y+6803593348140], [1556/9009, true, 10020+180*x^2+300*x*y+180*y^2-2640*x-2640*y, -28593994000*y-27687946000*x+181395500*y^2+171099500*x^2+287072500*x*y+1188283882500], [173/1001, true, -13740-150*x^2-360*x*y-150*y^2+2970*x+2970*y, 22370303340*y+23011778790*x-99437800*y^2-105917350*x^2-253049720*x*y-1146033553280], [1558/9009, true, -169440-1408*x^2-3488*x*y-1984*y^2+31520*x+37280*y, 329115803940*y+272614571460*x-1542502872*y^2-1028855304*x^2-2898917964*x*y-16488835939260], [1564/9009, true, 112464+2112*x^2+4752*x*y+3828*y^2-31416*x-43428*y, -467206658072*y-305352837944*x+3635763512*y^2+1533765848*x^2+4863710848*x*y+13442977036416], [1565/9009, true, 54528+1152*x^2+1536*x*y+1152*y^2-15360*x-15360*y, -169025105920*y-156301404160*x+1202100224*y^2+1057512704*x^2+1437279232*x*y+6500679810816], [174/1001, true, 11848+176*x^2+304*x*y+116*y^2-2952*x-2412*y, -41031950652*y-51853270392*x+185235876*y^2+294542136*x^2+458456544*x*y+2235648762648], [1567/9009, true, -99072-768*x^2-2304*x*y-768*y^2+19200*x+19200*y, 131572883200*y+139490348800*x-437732608*y^2-509709568*x^2-1516769024*x*y-7613862911232], [11/63, true, 140940+3078*x^2+5832*x*y+6642*y^2-41958*x-66906*y, -752415495524*y-374062419962*x+6571469408*y^2+1657793102*x^2+6400320808*x*y+17521735546980], [1574/9009, true, 113724+2916*x^2+2916*x*y+2916*y^2-34992*x-34992*y, -392185168848*y-336804030288*x+3140616564*y^2+2511285444*x^2+2632066164*x*y+13512453977556], [25/143, true, 81000+1566*x^2+1944*x*y+864*y^2-22842*x-16524*y, -191917440198*y-264792023694*x+1013994518*y^2+1750101422*x^2+1849130968*x*y+10318734928180], [226/1287, true, 117888+2624*x^2+4864*x*y+8384*y^2-35392*x-75712*y, -889631517852*y-216390839742*x+8420417424*y^2-322968006*x^2+6266477304*x*y+15139739295648], [1583/9009, true, 141312+4608*x^2+3072*x*y+4608*y^2-49152*x-49152*y, -562819366912*y-416513523712*x+5090643968*y^2+3428077568*x^2+2610061312*x*y+16338767511552], [16/91, true, 157248+3936*x^2+3456*x*y+1824*y^2-50976*x-31968*y, -347425136784*y-524642643558*x+2150006252*y^2+3940082078*x^2+2718677128*x*y+18277027973044], [1585/9009, true, 139008+2048*x^2+3328*x*y+512*y^2-37120*x-21760*y, -259040263680*y-497008258560*x+546241536*y^2+2709586944*x^2+3617339904*x*y+19409372527104], [1591/9009, true, 49284-1110*x^2+2664*x*y+6660*y^2-1554*x-55944*y, -694614972590*y+292976832610*x+6224329850*y^2-6601537750*x^2+5593287640*x*y+6539719327740], [1592/9009, true, 100500-42000*y-42000*x+4500*y^2+4500*x^2+1500*x*y, -492813706000*y-206188906000*x+4988133500*y^2+1731033500*x^2+1224044500*x*y+10065859786500], [177/1001, true, 175996+6026*x^2+3496*x*y+1886*y^2-69966*x-32706*y, -329545530864*y-617414720274*x+2331940644*y^2+5239710234*x^2+1993604184*x*y+17982208567224], [1594/9009, true, 248544+4992*x^2+6048*x*y+192*y^2-80160*x-32160*y, -293138259260*y-889209735260*x+112190792*y^2+5531022392*x^2+5105404948*x*y+28552410524484], [1600/9009, true, -10584*x^2+3024*x*y-1764*y^2+63504*x+1764*y, -4731006896*y+1204192094644*x-4372096864*y^2-20072396884*x^2+8867077024*x*y+9103103760], [178/1001, true, 93240+5400*x^2+2160*x*y-900*y^2-58320*x-1620*y, 65642252940*y-292824332460*x-919923700*y^2+2700950900*x^2+513741280*x*y+3924725647120], [229/1287, true, 241920+6912*x^2+6912*x*y-2304*y^2-103680*x-11520*y, 44996765440*y-964047223040*x-2759210752*y^2+6413916416*x^2+4700298496*x*y+21277099825920], [230/1287, true, -69972-12348*x^2+4116*x*y-12348*y^2+82320*x+82320*y, 1059135733040*y+1613031450800*x-16477271356*y^2-22771540876*x^2+8883276052*x*y-14984651642604], [179/1001, true, -65712-1554*x^2+2664*x*y-9324*y^2+1998*x+71928*y, 997606974078*y+647762257098*x-11500471534*y^2-7966686514*x^2+2847266824*x*y-20329536941972], [124/693, true, 78528+4352*x^2+6976*x*y-9088*y^2-78400*x+56000*y, 942769030500*y-388987998300*x-10962143208*y^2+1144738872*x^2+4783031316*x*y-6902638189452], [180/1001, true, -157520-19624*x^2+13024*x*y-27016*y^2+118008*x+184536*y, 2509875427752*y+2261976270246*x-34919403372*y^2-32415371478*x^2+19134252648*x*y-35131017891060], [1621/9009, true, -172800-7680*x^2+11520*x*y-23040*y^2+19200*x+172800*y, 2472697131520*y+1082833185280*x-28874822656*y^2-16239695872*x^2+12791515648*x*y-46029202752000], [148/819, true, 25088+448*x^2+784*x*y+448*y^2-6720*x-6720*y, -55939148320*y-54658832800*x+345099488*y^2+330550448*x^2+581145304*x*y+2306406549888], [181/1001, true, -35392-392*x^2-896*x*y-392*y^2+7560*x+7560*y, 79891374420*y+81591063840*x-368152564*y^2-385321144*x^2-877662032*x*y-4115095316384], [1637/9009, true, 42532+588*x^2+1372*x*y+588*y^2-10192*x-10192*y, -95159246512*y-97483608112*x+485952188*y^2+512365388*x^2+1190805772*x*y+4372070406732], [149/819, true, -70364-784*x^2-1372*x*y-784*y^2+14700*x+14700*y, 137335633600*y+134192344000*x-677800192*y^2-649224832*x^2-1141411136*x*y-7218075172032], [1646/9009, true, 134400+1760*x^2+4360*x*y+2480*y^2-31520*x-37280*y, -377423788896*y-312629242464*x+2211141456*y^2+1474839792*x^2+4155530472*x*y+15096950834400], [183/1001, true, 21084+294*x^2+504*x*y+294*y^2-4914*x-4914*y, -53112326256*y-51700786236*x+294749816*y^2+280491836*x^2+483476656*x*y+2499436243336], [1648/9009, true, -28056-252*x^2-588*x*y-252*y^2+5460*x+5460*y, 41551919860*y+42566867860*x-169755412*y^2-178982212*x^2-415978628*x*y-2360050968096], [1655/9009, true, 274820+4108*x^2+8788*x*y+6604*y^2-68016*x-87984*y, -936119387632*y-667892278768*x+6253917332*y^2+3205882004*x^2+8767605964*x*y+32499224611620], [184/1001, true, 122360+1960*x^2+2800*x*y+1960*y^2-30240*x-30240*y, -331188422400*y-310927795200*x+2025521600*y^2+1820868800*x^2+2639632000*x*y+14597949371200], [1657/9009, true, 21180+248*x^2+436*x*y+176*y^2-4660*x-3940*y, -72623105280*y-88142757120*x+303132672*y^2+444220416*x^2+714154752*x*y+4315131774720], [128/693, true, 394240+6912*x^2+12352*x*y+12288*y^2-104704*x-147712*y, -1632714055456*y-983078691232*x+12126919424*y^2+4744699376*x^2+12853298776*x*y+48304383297600], [185/1001, true, 281232+5292*x^2+6048*x*y+5292*y^2-74844*x-74844*y, -831990463524*y-741249865224*x+5625713412*y^2+4709141712*x^2+5556461328*x*y+33607531232352], [238/1287, true, 173200+2540*x^2+3380*x*y+1580*y^2-42300*x-32700*y, -388103058860*y-499958042540*x+1854620564*y^2+2871484052*x^2+3347178124*x*y+22522404854040], [239/1287, true, 419748+8588*x^2+12844*x*y+17708*y^2-120080*x-193040*y, -2210252117040*y-997917885360*x+17942554188*y^2+4166028828*x^2+14347894284*x*y+52896926281788], [186/1001, true, 412608+9408*x^2+8064*x*y+9408*y^2-120960*x-120960*y, -1367644101120*y-1118444659200*x+10255006976*y^2+7737840896*x^2+7119159808*x*y+48889952102656], [1675/9009, true, 381492+6912*x^2+6948*x*y+3888*y^2-103860*x-73620*y, -821805527840*y-1105280892320*x+4502996096*y^2+7080044864*x^2+5935926496*x*y+45838477059744], [1682/9009, true, 315392+6688*x^2+9592*x*y+19888*y^2-91872*x-197472*y, -2347850335072*y-441228818272*x+20230492208*y^2-1435661392*x^2+12899250472*x*y+40729641735072], [17/91, true, 423500+12250*x^2+7000*x*y+12250*y^2-141750*x-141750*y, -1634108949000*y-1117963786500*x+13598798000*y^2+8385210500*x^2+5814706000*x*y+48362034673000], [1684/9009, true, 528216-102700*y-165100*x+5876*y^2+12116*x^2+8788*x*y, -1110910769100*y-1594802889900*x+6952441788*y^2+11351461068*x^2+6293494044*x*y+59404316530608], [1691/9009, true, 122500-2100*x^2+4900*x*y+14700*y^2-2800*x-137200*y, -1716195251056*y+898661760656*x+13752285476*y^2-15961998748*x^2+11499866572*x*y+16204922924820], [188/1001, true, 267624+10584*x^2+3024*x*y+10584*y^2-108864*x-108864*y, -1281775435776*y-403806560256*x+11664746496*y^2+2796374016*x^2+2564960256*x*y+25569761826816], [1693/9009, true, 495244+15368*x^2+7412*x*y+5168*y^2-190740*x-88740*y, -900371927840*y-1546979735840*x+6371518208*y^2+12249771008*x^2+3627362272*x*y+48302596526304], [1700/9009, true, 3136*y+153664*x-3136*y^2-21952*x^2+5488*x*y, -34041740832*y+3102248948832*x-8686895328*y^2-44326562256*x^2+18147466584*x*y+42728636160], [1702/9009, true, 235200+12348*x^2+4116*x*y-1764*y^2-144060*x-2940*y, 168323225620*y-539070835820*x-1831232668*y^2+4599622436*x^2+602043052*x*y+6627983107560], [190/1001, true, -168448-25088*x^2+7168*x*y-25088*y^2+193536*x+193536*y, 2474105204736*y+4023698190336*x-33635780608*y^2-49288235008*x^2+17289637888*x*y-37921524205568], [1711/9009, true, -157500-2800*x^2+4900*x*y-19600*y^2+3500*x+171500*y, 2367139040640*y+1740255960960*x-24234564096*y^2-18535627008*x^2+5430236544*x*y-52731695502720], [191/1001, true, 46656+648*x^2+1152*x*y+648*y^2-11016*x-11016*y, -91309986306*y-89474749056*x+496109138*y^2+477571388*x^2+852427912*x*y+4269379981216], [192/1001, true, 80896+896*x^2+2048*x*y+896*y^2-17280*x-17280*y, -161372099790*y-164805292080*x+743629118*y^2+778307828*x^2+1772784184*x*y+8312055924208], [193/1001, true, 267904+2852*x^2+6808*x*y+3818*y^2-56304*x-64998*y, -655273846656*y-557627349708*x+3405884976*y^2+2419556724*x^2+6426085536*x*y+29946445605648], [158/819, true, 40208+448*x^2+784*x*y+448*y^2-8400*x-8400*y, -90649892300*y-88575129500*x+447389456*y^2+428527976*x^2+753400948*x*y+4764369740076], [194/1001, true, 583200+7020*x^2+14640*x*y+10440*y^2-129060*x-159840*y, -1686886134714*y-1274359720986*x+9856098194*y^2+5689164722*x^2+14366311384*x*y+68408791267060], [1747/9009, true, 244224+3072*x^2+4608*x*y+3072*y^2-53760*x-53760*y, -586754389760*y-556506325760*x+3151242752*y^2+2876260352*x^2+4365776128*x*y+29134023469824], [15/77, true, 911680+12728*x^2+22496*x*y+20276*y^2-215784*x-283716*y, -3097725675462*y-2074621530168*x+19922711342*y^2+9588326036*x^2+22734893992*x*y+110501038780000], [1756/9009, true, 598320+8640*x^2+10800*x*y+8640*y^2-140400*x-140400*y, -1551696547500*y-1413561253500*x+9090630000*y^2+7834854600*x^2+10031404500*x*y+71647861653900], [28/143, true, 1108096+18128*x^2+26752*x*y+31328*y^2-283536*x-402336*y, -4526658840726*y-2559627410076*x+31682141118*y^2+11813136768*x^2+28083371112*x*y+137779159840056], [1765/9009, true, 966656+16384*x^2+16384*x*y+16384*y^2-245760*x-245760*y, -2754441789440*y-2365482352640*x+17646043136*y^2+14110048256*x^2+14788673536*x*y+115573312241664], [197/1001, true, 1057536+20196*x^2+24888*x*y+40086*y^2-293760*x-472770*y, -5480731885860*y-2261991320820*x+41248651388*y^2+8736120428*x^2+28224553504*x*y+134345199880528], [1774/9009, true, 1170000-330000*y-330000*x+24000*y^2+24000*x^2+18000*x*y, -3757307427500*y-2924494677500*x+26371202000*y^2+18800177000*x^2+15572276500*x*y+138039218047500], [18/91, true, 735904+14732*x^2+17168*x*y+41528*y^2-209844*x-451008*y, -5407127539506*y-736939003878*x+42561346226*y^2-4612275346*x^2+24112207336*x*y+95259739044988], [1783/9009, true, 1064448+27648*x^2+13824*x*y+27648*y^2-345600*x-345600*y, -4004983699200*y-2521378886400*x+30761980416*y^2+17274663936*x^2+11293924608*x*y+119899287196416], [199/1001, true, 270400-3640*x^2+8320*x*y+29120*y^2-4680*x-299520*y, -3766247959914*y+2345070928464*x+27168282954*y^2-34562210868*x^2+21749251464*x*y+35591614837920], [256/1287, true, 620144+21952*x^2+5488*x*y+21952*y^2-246960*x-246960*y, -2914806323660*y-619109381660*x+24022452272*y^2+3152480072*x^2+4951574068*x*y+56344590129324], [200/1001, true, 5184*y+331776*x-5184*y^2-41472*x^2+9216*x*y, -105924057822*y+7104317268312*x-15992294818*y^2-88823015284*x^2+34124469592*x*y+121916352640], [601/3003, true, 36*y+144*x-36*y^2-72*x^2+48*x*y, -470734640+526054188*y+2058963852*x-55319548*y^2-101771356*x^2+78757024*x*y], [164/819, true, 512*y+512*x-256*y^2-256*x^2+256*x*y, 7702497792*y+7702497792*x-350113536*y^2-350113536*x^2+350113536*x*y-14004541440], [1805/9009, true, -600*x^2+720*x*y-900*y^2+1200*x+2700*y, 40902514400*y+23366495900*x-1207562800*y^2-888726100*x^2+927761440*x*y-111839478000], [86/429, true, -1152*x^2+1536*x*y-2304*y^2+2304*x+9216*y, 142191025152*y+64994823168*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-518806261760], [139/693, true, -1960*x^2+2800*x*y-4900*y^2+3920*x+24500*y, 387724144500*y+166953055500*x-6792808500*y^2-3925651500*x^2+3514860000*x*y-1768800510000], [1808/9009, true, -3072*x^2+4608*x*y-9216*y^2+6144*x+55296*y, 901082513408*y+394598285312*x-13152944128*y^2-7397441536*x^2+5826740224*x*y-4932989091840], [201/1001, true, -4536*x^2+7056*x*y-15876*y^2+9072*x+111132*y, 1868546157192*y+861269712732*x-23405626696*y^2-13231117156*x^2+9062846176*x*y-11932947392240], [1811/9009, true, 8+4*x^2+4*x*y+4*y^2-12*x-12*y, -134494228*y-115502068*x+4308116*y^2+3444836*x^2+3610516*x*y+990082752], [604/3003, true, 100-120*y-30*x+20*y^2-10*x^2+40*x*y, -1313606646*y-264817674*x+14788386*y^2-16993098*x^2+50035752*x*y+12391695900], [259/1287, true, 320-128*x^2+208*x*y-32*y^2+96*x-288*y, -2659638872*y+1144153384*x-72785848*y^2-159235672*x^2+266464372*x*y+38214338400], [1814/9009, true, 44-506*x^2+616*x*y-374*y^2+990*x+330*y, 7369109660*y+13102568930*x-539401288*y^2-643646002*x^2+810834952*x*y-27639385212], [55/273, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [1816/9009, true, -12172-3026*x^2+2584*x*y-3536*y^2+12138*x+15708*y, 228522125062*y+205523922142*x-4819024714*y^2-4520346754*x^2+3702409816*x*y-2600091037908], [1817/9009, true, -35200+42720*y+29280*x-7520*y^2-5840*x^2+4360*x*y, 623719549904*y+552769161296*x-10380989344*y^2-9574734928*x^2+6586534372*x*y-7970558502720], [202/1001, true, -82340-10258*x^2+6808*x*y-14122*y^2+61686*x+96462*y, 1429597959768*y+1288397274714*x-19889715348*y^2-18463445802*x^2+10898663832*x*y-20010248694540], [607/3003, true, 112+8*x^2+32*x*y+8*y^2-72*x-72*y, -664648512*y-728191662*x+5481788*y^2+7407338*x^2+29318152*x*y+11735541832], [1823/9009, true, 3024-216*x^2+864*x*y-216*y^2-1080*x-1080*y, -6965143020*y-12403227870*x-336372264*y^2-237497994*x^2+926022456*x*y+321298631856], [1825/9009, true, -2000-3000*x^2+4000*x*y-3000*y^2+7000*x+7000*y, 120994489000*y+100364745250*x-4091633500*y^2-3823714750*x^2+5040553000*x*y-905053569000], [166/819, true, -27648+27648*y+27648*x-6912*y^2-6912*x^2+6912*x*y, 415934880768*y+415934880768*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-5709651545088], [29/143, true, -93296-13720*x^2+10976*x*y-13720*y^2+74088*x+74088*y, 1074670456860*y+1181741971410*x-19002474400*y^2-20084004850*x^2+16294434520*x*y-18326345885120], [610/3003, true, 108+18*x^2+24*x*y+18*y^2-90*x-90*y, -798988740*y-738843270*x+15153008*y^2+13330418*x^2+18117544*x*y+10618234708], [1831/9009, true, 1344+128*x^2+208*x*y+32*y^2-928*x-544*y, -4469852376*y-8576093592*x+23564088*y^2+116887752*x^2+156046932*x*y+128601435456], [1832/9009, true, 6084+234*x^2+936*x*y-156*y^2-3510*x-1560*y, -9819402010*y-34917961210*x-220165366*y^2+236172074*x^2+797399896*x*y+587486095164], [47/231, true, 14904-108*x^2+2628*x*y-972*y^2-7236*x-2052*y, 831680916*y-74911178892*x-1264128844*y^2-116509756*x^2+2503055236*x*y+1403526282928], [262/1287, true, 22908+1610*y-8050*x-3082*y^2-1702*x^2+5704*x*y, 77612146920*y-79418236590*x-4007612484*y^2-1968256854*x^2+5999325048*x*y+1818940042116], [1835/9009, true, 16128+16800*y+3360*x-7392*y^2-5712*x^2+10584*x*y, 320183243600*y+79797177680*x-9740156512*y^2-7008496672*x^2+12203421124*x*y-397638474432], [204/1001, true, -32076+55836*y+43362*x-15048*y^2-13662*x^2+17688*x*y, 896567285394*y+652941301518*x-20181487882*y^2-17720619358*x^2+22250505352*x*y-9813677073524], [1840/9009, true, 2048+256*x^2+256*x*y+256*y^2-1536*x-1536*y, -14372374016*y-12342826496*x+230187776*y^2+184061696*x^2+192914176*x*y+211605209088], [614/3003, true, 25600+1280*x^2+2560*x*y-640*y^2-15360*x-3840*y, -13616418816*y-140877563904*x-750422016*y^2+1177777152*x^2+1913462784*x*y+2259835822080], [1843/9009, true, 53456+832*x^2+6448*x*y-3068*y^2-28392*x-1092*y, 67108996108*y-269824485392*x-3658989388*y^2+716770112*x^2+5574887968*x*y+4453898471376], [1844/9009, true, 81920-2048*x^2+13312*x*y-8192*y^2-36864*x+12288*y, 317906530304*y-342344814592*x-10077638656*y^2-2574782464*x^2+12930128896*x*y+5732015063040], [205/1001, true, 84208-9424*x^2+24016*x*y-17404*y^2-23256*x+48564*y, 908396511264*y-129047179536*x-22046343264*y^2-11567114064*x^2+25741241856*x*y+1867645315008], [1850/9009, true, 13500+1350*x^2+1080*x*y+1350*y^2-9450*x-9450*y, -91331598600*y-72873865350*x+1258764300*y^2+923169150*x^2+803620440*x*y+1433036488500], [617/3003, true, 36520+2948*x^2+2156*x*y+836*y^2-24156*x-11484*y, -96395317788*y-194421531612*x+858195212*y^2+2343440876*x^2+1204679812*x*y+3291108009280], [1852/9009, true, 84100+4350*x^2+5800*x*y-1740*y^2-50750*x-8120*y, -2886433550*y-431393212250*x-1869368350*y^2+3695654750*x^2+3813709000*x*y+6829397821500], [206/1001, true, 231340+48762*y-113778*x-19006*y^2-946*x^2+27176*x*y, 1004915200212*y-982238966478*x-22471291696*y^2-2399027386*x^2+24641266216*x*y+13677469953700], [620/3003, true, 55296+4608*x^2+3072*x*y+4608*y^2-36864*x-36864*y, -364202471424*y-269527425024*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+5964301305856], [1861/9009, true, 117888+8384*x^2+4864*x*y+2624*y^2-75712*x-35392*y, -304095396528*y-569733031098*x+2766663756*y^2+6216503166*x^2+2365254216*x*y+10349201333592], [266/1287, true, 230400+11520*x^2+11520*x*y-3840*y^2-138240*x-15360*y, 50850212864*y-1089456231424*x-3897681664*y^2+9060346112*x^2+6639676672*x*y+17203440245760], [207/1001, true, 388800+11232*x^2+25728*x*y-16992*y^2-216864*x+37152*y, 922747622148*y-1757324346426*x-18660788248*y^2+8410645778*x^2+18680210392*x*y+24675906014320], [170/819, true, 171500+12250*x^2+7000*x*y+12250*y^2-110250*x-110250*y, -1106709411500*y-757147217750*x+11841251000*y^2+7301482250*x^2+5063197000*x*y+18680248456500], [1871/9009, true, 315392-91872*y-197472*x+6688*y^2+19888*x^2+9592*x*y, -805060589872*y-1383219956272*x+7121304608*y^2+13691297408*x^2+4054222372*x*y+26906769233472], [16/77, true, 550564+25970*x^2+20776*x*y-7420*y^2-327222*x-26712*y, 199477088910*y-2384778776490*x-7227912150*y^2+18875682450*x^2+10425984120*x*y+37643492845980], [1880/9009, true, 442368+27648*x^2+13824*x*y+27648*y^2-276480*x-276480*y, -2808974868480*y-1768419164160*x+26969407488*y^2+15144910848*x^2+9901522944*x*y+48471932141568], [19/91, true, 735904-209844*y-451008*x+14732*y^2+41528*x^2+17168*x*y, -1868388574536*y-2923381896732*x+15724332968*y^2+26380831172*x^2+6296557792*x*y+60848607505456], [30/143, true, 1000188+55566*x^2+24696*x*y+55566*y^2-611226*x-611226*y, -6268577925456*y-3610145178486*x+54518838836*y^2+27665982806*x^2+17600260216*x*y+109969638991828], [172/819, true, 4*y+4*x-4*y^2-4*x^2+4*x*y, -54705240+60175764*y+60175764*x-5470524*y^2-5470524*x^2+5470524*x*y], [1894/9009, true, 80-8*x^2+52*x*y-32*y^2-72*x+24*y, 747504736*y-804967328*x-47391808*y^2-12108352*x^2+60806128*x*y+6738943680], [1895/9009, true, 312+8*x^2+112*x*y-88*y^2-320*x+160*y, 4235505120*y-3685983840*x-145731096*y^2-1704024*x^2+137443824*x*y+21511990584], [632/3003, true, 848+52*x^2+196*x*y-188*y^2-900*x+540*y, 15765016740*y-10846848540*x-371243308*y^2+31966772*x^2+264758836*x*y+37561280728], [271/1287, true, 1880+136*x^2+304*x*y-344*y^2-2016*x+1344*y, 46401249664*y-25066676096*x-832679824*y^2+95475056*x^2+460132384*x*y+6923383440], [146/693, true, 3648+272*x^2+436*x*y-568*y^2-3920*x+2800*y, 116797744800*y-48190934880*x-1697597136*y^2+177274224*x^2+740700072*x*y-219933049824], [211/1001, true, 6440+472*x^2+592*x*y-872*y^2-6912*x+5184*y, 261999403776*y-77846443488*x-3207670168*y^2+225116168*x^2+1122423088*x*y-999436786280], [173/819, true, -12-4*x^2+4*x*y-4*y^2+8*x+8*y, 120351528*y+120351528*x-5470524*y^2-5470524*x^2+5470524*x*y-2040505452], [272/1287, true, -120-18*x^2+24*x*y-36*y^2+30*x+120*y, 1851445640*y+846286760*x-48786952*y^2-30511336*x^2+30248608*x*y-25766632080], [635/3003, true, -600+648*y+72*x-144*y^2-48*x^2+72*x*y, 10559560704*y+4624198656*x-205514752*y^2-115585024*x^2+91042816*x*y-158453949440], [1906/9009, true, -2040-100*x^2+160*x*y-400*y^2+140*x+2240*y, 38897216820*y+19144014120*x-610256700*y^2-353721600*x^2+210196080*x*y-648616689720], [1907/9009, true, -5460-180*x^2+300*x*y-900*y^2+240*x+6000*y, 111189729200*y+63032327600*x-1473403900*y^2-926160700*x^2+419768500*x*y-2057013683700], [212/1001, true, -12432-294*x^2+504*x*y-1764*y^2+378*x+13608*y, 268800328368*y+174536377488*x-3098745904*y^2-2146584784*x^2+767182144*x*y-5477694470432], [1909/9009, true, -25200-448*x^2+784*x*y-3136*y^2+560*x+27440*y, 576479981880*y+423812335320*x-5901952032*y^2-4514064336*x^2+1322449848*x*y-12841986189240], [1910/9009, true, -8-4*x^2-4*x*y-4*y^2+12*x+12*y, -808416192+109816388*y+94309028*x-3517636*y^2-2812756*x^2-2948036*x*y], [58/273, true, -648+324*y+324*x-108*y^2-108*x^2+108*x*y, 4874236884*y+4874236884*x-147704148*y^2-147704148*x^2+147704148*x*y-111664335888], [1915/9009, true, -3968-384*x^2+256*x*y-384*y^2+1792*x+1792*y, 25791407488*y+30338374528*x-541201216*y^2-600252736*x^2+412495744*x*y-707907250752], [1916/9009, true, -14000-1000*x^2+500*x*y-1000*y^2+6000*x+6000*y, 87560132000*y+114131732000*x-1469002000*y^2-1770952000*x^2+948001000*x*y-2693858088000], [213/1001, true, -37584+15552*y+15552*x-2160*y^2-2160*x^2+864*x*y, 233406787680*y+330577822080*x-3318845400*y^2-4300371000*x^2+1922402160*x*y-7853083711560], [274/1287, true, -85064-4116*x^2+1372*x*y-4116*y^2+34300*x+34300*y, 531967720900*y+810170630500*x-6620776708*y^2-9149894068*x^2+3569413036*x*y-19308192846432], [640/3003, true, -28-2*x^2-8*x*y-2*y^2+18*x+18*y, 181112448*y+198427548*x-1493752*y^2-2018452*x^2-7989008*x*y-3197859728], [1921/9009, true, 44+4*x^2+4*x*y+4*y^2-24*x-24*y, -224568344*y-192856664*x+3596684*y^2+2875964*x^2+3014284*x*y+4270339164], [1922/9009, true, 300+20*x^2+40*x*y-10*y^2-200*x-50*y, -177297120*y-1834343280*x-11725344*y^2+18402768*x^2+29897856*x*y+26529919200], [641/3003, true, 560-32*x^2+208*x*y-128*y^2-432*x+144*y, 3725467152*y-4011853296*x-157463104*y^2-40230976*x^2+202033264*x*y+25015890160], [148/693, true, -1540+1386*y+462*x-506*y^2-374*x^2+616*x*y, 22963856608*y+8711948476*x-658591528*y^2-473501812*x^2+720719248*x*y-358121141280], [25/117, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [214/1001, true, -43996+15606*y+20196*x-3026*y^2-3536*x^2+2584*x*y, 227397240576*y+316028503296*x-4330644736*y^2-5225910016*x^2+4067405824*x*y-7666659209216], [1927/9009, true, -116200-7520*x^2+4360*x*y-5840*y^2+53400*x+36600*y, 529376152360*y+887385528040*x-8722726384*y^2-11977357072*x^2+7820431816*x*y-20895808727640], [1930/9009, true, 336+8*x^2+52*x*y+32*y^2-136*x-232*y, -2022517728*y-1117204704*x+22776768*y^2+2201472*x^2+46379088*x*y+32705999424], [1931/9009, true, 984+72*x^2+48*x*y+72*y^2-480*x-480*y, -4742219680*y-3509471680*x+68628632*y^2+46215032*x^2+35187088*x*y+95912935944], [92/429, true, 2400+180*x^2+180*x*y-60*y^2-1620*x-180*y, 595900932*y-12767065212*x-60901276*y^2+141567908*x^2+103744948*x*y+178769944360], [1933/9009, true, 3528+56*x^2+784*x*y-616*y^2-3136*x+1568*y, 28801434816*y-25064690112*x-707836752*y^2-8276688*x^2+667584288*x*y+69254647056], [1934/9009, true, -2016+6768*y-1872*x-1944*y^2-864*x^2+2196*x*y, 109438986272*y-1747042528*x-2394038416*y^2-1130560816*x^2+2300827144*x*y-1204092245664], [215/1001, true, -29304-3432*x^2+4752*x*y-4488*y^2+9504*x+19008*y, 293527916352*y+159552081216*x-5845704232*y^2-4492412968*x^2+5761551568*x*y-6026968547096], [176/819, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [647/3003, true, 7128+432*x^2+216*x*y+432*y^2-3240*x-3240*y, -32917674240*y-20723662080*x+421396992*y^2+236639232*x^2+154711296*x*y+681055734528], [1942/9009, true, 11560+816*x^2+544*x*y-204*y^2-7616*x-476*y, 5771920924*y-51098971616*x-192760564*y^2+545822456*x^2+235601104*x*y+714948666120], [1943/9009, true, 13948+572*x^2+2156*x*y-2068*y^2-13200*x+7920*y, 129720248240*y-89251785040*x-2291042956*y^2+197275604*x^2+1633898452*x*y-157708126404], [1945/9009, true, -60608-6912*x^2+12352*x*y-12288*y^2+7360*x+61120*y, 932434606840*y+249640271320*x-15359610496*y^2-9152389264*x^2+13765864504*x*y-16073096092056], [50/231, true, 23240+532*x^2+1372*x*y+1876*y^2-7308*x-15372*y, -158207333196*y-48533663244*x+1643476028*y^2-18246244*x^2+1507209556*x*y+2631418578880], [1951/9009, true, 31040+1600*x^2+640*x*y+1600*y^2-13440*x-13440*y, -138877988480*y-72624970880*x+1575435200*y^2+715006400*x^2+456350080*x*y+2875209343680], [1952/9009, true, 40560+2600*x^2+1300*x*y-520*y^2-26000*x-1040*y, 23897095200*y-144925308000*x-474152400*y^2+1444284000*x^2+405189000*x*y+2009388211200], [31/143, true, 42368+2176*x^2+4864*x*y-5504*y^2-41472*x+27648*y, 427906340928*y-231161654592*x-5972451304*y^2+684801176*x^2+3300330064*x*y-1874067394712], [1954/9009, true, 8360-1748*x^2+12844*x*y-14516*y^2-46740*x+80940*y, 1207486174180*y-179395939580*x-16739137012*y^2-4131117796*x^2+11523979948*x*y-13317479295120], [280/1287, true, 84732+1886*x^2+3496*x*y+6026*y^2-25438*x-54418*y, -573300732312*y-139447652652*x+5426326944*y^2-208128636*x^2+4038274224*x*y+9756425498688], [1961/9009, true, 100500-42000*y-42000*x+4500*y^2+4500*x^2+1500*x*y, -438888802000*y-183627202000*x+4442319500*y^2+1541619500*x^2+1090106500*x*y+8964428320500], [218/1001, true, 114996+6660*x^2+2664*x*y-1110*y^2-71928*x-1998*y, 71787070080*y-320235822720*x-1006038400*y^2+2953788800*x^2+561832960*x*y+4292121955840], [151/693, true, 107976+5984*x^2+9592*x*y-12496*y^2-107800*x+77000*y, 1152445833000*y-475500979800*x-13400181648*y^2+1399334832*x^2+5846802696*x*y-8437821312312], [1970/9009, true, 243712+5168*x^2+7412*x*y+15368*y^2-70992*x-152592*y, -1632163526752*y-306730617952*x+14063703728*y^2-998033872*x^2+8967218152*x*y+28314170926752], [219/1001, true, 267624+10584*x^2+3024*x*y+10584*y^2-108864*x-108864*y, -1146588182784*y-361217587104*x+10434480264*y^2+2501443944*x^2+2294437104*x*y+22872951009144], [1972/9009, true, 280000+14700*x^2+4900*x*y-2100*y^2-171500*x-3500*y, 178650683860*y-572145484460*x-1943587804*y^2+4881831908*x^2+638981356*x*y+7034642488680], [20/91, true, 596336+11938*x^2+13912*x*y+33652*y^2-170046*x-365472*y, -3951329163408*y-538527814704*x+31102260368*y^2-3370480528*x^2+17620310848*x*y+69612300105184], [283/1287, true, 620144+21952*x^2+5488*x*y+21952*y^2-246960*x-246960*y, -2616022076360*y-555647144360*x+21560014112*y^2+2829332912*x^2+4444009528*x*y+50568948772104], [661/3003, true, 40-4*x^2+16*x*y+8*y^2-12*x-48*y, -493551630*y-99497970*x+5556330*y^2-6384690*x^2+18799560*x*y+4655839500], [1985/9009, true, -936-36*x^2-144*x*y+24*y^2+540*x+240*y, 1201594790*y+4272891590*x+26941514*y^2-28900246*x^2-97577384*x*y-71890348356], [662/3003, true, -5120-256*x^2-512*x*y+128*y^2+3072*x+768*y, 2075673600*y+21475238400*x+114393600*y^2-179539200*x^2-291686400*x*y-344487168000], [1987/9009, true, -17400-900*x^2-1200*x*y+360*y^2+10500*x+1680*y, 425635210*y+63613499950*x+275658170*y^2-544963450*x^2-562371800*x*y-1007067069300], [284/1287, true, -46080-2304*x^2-2304*x*y+768*y^2+27648*x+3072*y, -6704389120*y+143640273920*x+513893120*y^2-1194568960*x^2-875413760*x*y-2268202060800], [17/77, true, -103880-4900*x^2-3920*x*y+1400*y^2+61740*x+5040*y, -22748390082*y+271960444998*x+824271930*y^2-2152584990*x^2-1188980424*x*y-4292868238596], [181/819, true, 4*y+4*x-4*y^2-4*x^2+4*x*y, -54705240+60175764*y+60175764*x-5470524*y^2-5470524*x^2+5470524*x*y], [1994/9009, true, -60-4*x^2-8*x*y+2*y^2+40*x+10*y, 27027000*y+279625500*x+1787400*y^2-2805300*x^2-4557600*x*y-4044195000], [95/429, true, -480-36*x^2-36*x*y+12*y^2+324*x+36*y, -78567060*y+1683284460*x+8029580*y^2-18665140*x^2-13678340*x*y-23570073800], [1996/9009, true, -2040-144*x^2-96*x*y+36*y^2+1344*x+84*y, -559347866*y+4951921744*x+18680126*y^2-52894804*x^2-22831736*x*y-69284561580], [1997/9009, true, -6240-400*x^2-200*x*y+80*y^2+4000*x+160*y, -1611664560*y+9774032400*x+31977720*y^2-97405200*x^2-27326700*x*y-135516879360], [222/1001, true, -15540-900*x^2-360*x*y+150*y^2+9720*x+270*y, -3179699028*y+14184358452*x+44560940*y^2-130833580*x^2-24885536*x*y-190113010544], [1999/9009, true, -33600-1764*x^2-588*x*y+252*y^2+20580*x+420*y, -4661699900*y+14929528900*x+50715860*y^2-127386220*x^2-16673540*x*y-183561526200], [670/3003, true, -20-4*x^2-8*x*y+2*y^2+24*x+6*y, 16216200*y+167775300*x+1787400*y^2-2805300*x^2-4557600*x*y-1345653000], [61/273, true, -32+12*y+12*x-4*y^2-4*x^2+4*x*y, 180527292*y+180527292*x-5470524*y^2-5470524*x^2+5470524*x*y-5350172472], [2014/9009, true, -300-36*x^2+24*x*y-18*y^2+168*x+42*y, 686099260*y+2685376540*x-30921340*y^2-56885980*x^2+44021920*x*y-53243455200], [155/693, true, -1440-144*x^2+72*x*y-48*y^2+864*x+96*y, 1487955920*y+16144296080*x-101808760*y^2-268358080*x^2+169800340*x*y-291574327200], [32/143, true, -4760+180*y+2880*x-100*y^2-400*x^2+160*x*y, 2175912882*y+62719443072*x-258958890*y^2-870509700*x^2+473959944*x*y-1111381527924], [2017/9009, true, -12480-900*x^2+300*x*y-180*y^2+7500*x+300*y, 1707682900*y+188575964500*x-563924740*y^2-2262727300*x^2+1096800700*x*y-3349452879240], [2018/9009, true, -27972-1764*x^2+504*x*y-294*y^2+16632*x+462*y, -1879319728*y+478346789492*x-1105203424*y^2-5074014244*x^2+2241469984*x*y-8574113321592], [2021/9009, true, 120-4*x^2+16*x*y+8*y^2-20*x-80*y, -822586050*y-165829950*x+5556330*y^2-6384690*x^2+18799560*x*y+13353900300], [289/1287, true, -600-36*x^2+48*x*y-72*y^2+84*x+336*y, 4623413410*y+2113339690*x-87021670*y^2-54423310*x^2+53954680*x*y-109478102100], [184/819, true, -3072+1024*y+1024*x-256*y^2-256*x^2+256*x*y, 15404995584*y+15404995584*x-350113536*y^2-350113536*x^2+350113536*x*y-522369395712], [225/1001, true, -10920-900*x^2+720*x*y-600*y^2+4860*x+2160*y, 34399942038*y+72844186338*x-922270630*y^2-1310596330*x^2+1149592936*x*y-1869599271956], [2026/9009, true, -30720-2304*x^2+1536*x*y-1152*y^2+15360*x+3840*y, 62729075200*y+245520140800*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-5492545228800], [2027/9009, true, -73080-4900*x^2+2800*x*y-1960*y^2+38500*x+6160*y, 99869413050*y+664795132650*x-3747374550*y^2-8416182150*x^2+5844015000*x*y-13876078850100], [290/1287, true, 1404-36*x^2+216*x*y+54*y^2-360*x-810*y, -7894480660*y-3758082460*x+26378204*y^2-48829036*x^2+234315616*x*y+158313117744], [677/3003, true, 1440-36*x^2+108*x*y+108*y^2-108*x-972*y, -10569367380*y+510775980*x+87047420*y^2-80833540*x^2+146189020*x*y+157311947800], [2033/9009, true, -4320-144*x^2+216*x*y-432*y^2+288*x+2592*y, 34373570000*y+15052730000*x-501745000*y^2-282190000*x^2+222272500*x*y-862578600000], [226/1001, true, -16380-900*x^2+1080*x*y-1350*y^2+3240*x+7290*y, 103717345248*y+59250903228*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-2946119840456], [185/819, true, -46656-2916*x^2+2916*x*y-2916*y^2+14580*x+14580*y, 219340659780*y+219340659780*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-8079712303896], [2036/9009, true, -113400-7056*x^2+6048*x*y-5292*y^2+44352*x+24948*y, 391214899790*y+656539872560*x-7829434210*y^2-10022202580*x^2+9192506440*x*y-19535985803100], [680/3003, true, 10240-256*x^2+1024*x*y+512*y^2-1536*x-6144*y, -63174608640*y-12735740160*x+355605120*y^2-408620160*x^2+1203171840*x*y+1191894912000], [157/693, true, 8160-144*x^2+384*x*y+576*y^2-336*x-5376*y, -60039454706*y+11764513684*x+485077046*y^2-447442024*x^2+589312264*x*y+853769762820], [227/1001, true, -19040-400*x^2+640*x*y-1600*y^2+720*x+11520*y, 149814684162*y+73734181092*x-1828116810*y^2-1059626880*x^2+629674344*x*y-4128841123524], [292/1287, true, -61440-2304*x^2+3072*x*y-4608*y^2+7680*x+30720*y, 422712083200*y+193219628800*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-11765796940800], [2045/9009, true, -151200-7056*x^2+8064*x*y-9408*y^2+33264*x+59136*y, 854336238470*y+559500149780*x-12103719610*y^2-9667057720*x^2+10086179080*x*y-27430069536300], [2050/9009, true, 43500-900*x^2+3000*x*y+2250*y^2-4200*x-26250*y, -279190031120*y-14811016220*x+1728484160*y^2-1705009540*x^2+3794720800*x*y+5175068706600], [293/1287, true, 31200-400*x^2+1000*x*y+2000*y^2-800*x-20000*y, -226790316720*y+71339423760*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+3089080484640], [2053/9009, true, -62400-900*x^2+1500*x*y-4500*y^2+1500*x+37500*y, 481926270100*y+273199105300*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-14608262820840], [158/693, true, -182700-4900*x^2+7000*x*y-12250*y^2+15400*x+96250*y, 1295913767940*y+558017256060*x-14448008340*y^2-8349690060*x^2+7475954400*x*y-37132920212400], [2060/9009, true, 138240-2304*x^2+6912*x*y+6912*y^2-9216*x-82944*y, -901919349760*y+43586216960*x+5571034880*y^2-5173346560*x^2+9356097280*x*y+16667697484800], [229/1001, true, 93240-900*x^2+2160*x*y+5400*y^2-1620*x-58320*y, -667739471058*y+281641201182*x+4653835610*y^2-4935868150*x^2+4182015064*x*y+8664830550556], [2063/9009, true, -167832-1764*x^2+3024*x*y-10584*y^2+2772*x+99792*y, 1272477333842*y+826240003622*x-12002067094*y^2-8314155274*x^2+2971450984*x*y-42203387479092], [230/1001, true, 363580-4900*x^2+13720*x*y+17150*y^2-17640*x-216090*y, -2386241105292*y+305188695108*x+14204053620*y^2-12982105980*x^2+19798783776*x*y+44192946911904], [2071/9009, true, 235200-1764*x^2+4116*x*y+12348*y^2-2940*x-144060*y, -1660246144700*y+869364789700*x+10643161460*y^2-12353301580*x^2+8899970620*x*y+20371030744200], [691/3003, true, 216+72*x^2+48*x*y+72*y^2-288*x-288*y, -2845331808*y-2105683008*x+68628632*y^2+46215032*x^2+35187088*x*y+23298051976], [2074/9009, true, 336+8*x^2+52*x*y+32*y^2-136*x-232*y, -2022517728*y-1117204704*x+22776768*y^2+2201472*x^2+46379088*x*y+32705999424], [2075/9009, true, -1224-24*x^2-144*x*y-24*y^2+480*x+480*y, 4638782720*y+5273016320*x-12640576*y^2-24172096*x^2-143401856*x*y-137332019136], [692/3003, true, -10800-324*x^2-876*x*y-36*y^2+4572*x+2844*y, 22201750428*y+43310362524*x+14743508*y^2-305083948*x^2-702267332*x*y-1029506140520], [2077/9009, true, -43800-1480*x^2-2480*x*y-40*y^2+19040*x+8960*y, 62172278784*y+163341009216*x+45733464*y^2-1268146152*x^2-1706331312*x*y-3814953773400], [2078/9009, true, -129024-4368*x^2-5292*x*y-168*y^2+56112*x+22512*y, 145092893792*y+440126832992*x-69413008*y^2-3422071408*x^2-3158739752*x*y-10423426061664], [3/13, true, -312984-10152*x^2-9648*x*y-648*y^2+134784*x+49248*y, 302385454272*y+969666388416*x-550840432*y^2-7291051888*x^2-5007116192*x*y-23566257551696], [694/3003, true, 100+20*x^2+40*x*y-10*y^2-120*x-30*y, -106378272*y-1100605968*x-11725344*y^2+18402768*x^2+29897856*x*y+8827483680], [2083/9009, true, 44+4*x^2+4*x*y+4*y^2-24*x-24*y, -224568344*y-192856664*x+3596684*y^2+2875964*x^2+3014284*x*y+4270339164], [2084/9009, true, -76-2*x^2-8*x*y-2*y^2+30*x+30*y, 301854080*y+330712580*x-1493752*y^2-2018452*x^2-7989008*x*y-8764446336], [695/3003, true, -1592-64*x^2-104*x*y-16*y^2+696*x+408*y, 3273198984*y+6280131528*x-11503728*y^2-57063312*x^2-76180392*x*y-150353999496], [2087/9009, true, -35500-1340*x^2-980*x*y-380*y^2+14640*x+6960*y, 50948770928*y+102759535472*x-340192804*y^2-928951492*x^2-477541004*x*y-2784053854860], [232/1001, true, -99476-3406*x^2-1976*x*y-1066*y^2+39546*x+18486*y, 131211454176*y+245829106116*x-928482696*y^2-2086236756*x^2-793771056*x*y-7159774642416], [2089/9009, true, -233056-7232*x^2-3488*x*y-2432*y^2+89760*x+41760*y, 286310738560*y+491926610560*x-2026089472*y^2-3895324672*x^2-1153470848*x*y-15359821489536], [698/3003, true, -104-4*x^2-4*x*y-4*y^2+36*x+36*y, 329449164*y+282927084*x-3517636*y^2-2812756*x^2-2948036*x*y-9789934496], [2095/9009, true, -1424-48*x^2-32*x*y-48*y^2+448*x+448*y, 3917777248*y+2899344448*x-40498168*y^2-27271768*x^2-20764112*x*y-120874518504], [2096/9009, true, -7344-216*x^2-108*x*y-216*y^2+2160*x+2160*y, 17830406880*y+11225316960*x-171192528*y^2-96134688*x^2-62851464*x*y-556340234112], [233/1001, true, -24704-640*x^2-256*x*y-640*y^2+6912*x+6912*y, 53383144320*y+27916225920*x-471006400*y^2-213764800*x^2-136434560*x*y-1654525845440], [2098/9009, true, -65000-1500*x^2-500*x*y-1500*y^2+17500*x+17500*y, 125450297500*y+52487297500*x-1015820500*y^2-352520500*x^2-249273500*x*y-3811468530000], [2099/9009, true, -145584-3024*x^2-864*x*y-3024*y^2+38016*x+38016*y, 250903090944*y+79043732064*x-1868182056*y^2-447856776*x^2-410794416*x*y-7394625397656], [100/429, true, -18*x^2+24*x*y-36*y^2+18*x+72*y, 1110867384*y+507772056*x-48786952*y^2-30511336*x^2+30248608*x*y-2026586960], [191/819, true, -12-4*x^2+4*x*y-4*y^2+8*x+8*y, 120351528*y+120351528*x-5470524*y^2-5470524*x^2+5470524*x*y-2040505452], [2104/9009, true, -120+2*x^2-8*x*y-4*y^2+14*x+56*y, 283475808*y+57147552*x-1367712*y^2+1571616*x^2-4627584*x*y-6498705600], [2105/9009, true, -900+12*x^2-36*x*y-36*y^2+48*x+432*y, 2245244144*y-108503824*x-13868572*y^2+12878564*x^2-23291132*x*y-45629385060], [18/77, true, -3672+36*x^2-96*x*y-144*y^2+108*x+1728*y, 7673835708*y-1503660312*x-48221644*y^2+44480336*x^2-58583696*x*y-145204093352], [301/1287, true, -10920+80*x^2-200*x*y-400*y^2+200*x+5000*y, 17129178000*y-5388174000*x-103528800*y^2+101174400*x^2-104382000*x*y-302887328400], [2108/9009, true, -26640+150*x^2-360*x*y-900*y^2+330*x+11880*y, 27322598600*y-11524209400*x-155803000*y^2+165245000*x^2-140007200*x*y-448068610800], [2110/9009, true, 80-8*x^2+52*x*y-32*y^2-72*x+24*y, 747504736*y-804967328*x-47391808*y^2-12108352*x^2+60806128*x*y+6738943680], [64/273, true, -32+12*y+12*x-4*y^2-4*x^2+4*x*y, 180527292*y+180527292*x-5470524*y^2-5470524*x^2+5470524*x*y-5350172472], [302/1287, true, 224-32*x^2+52*x*y-8*y^2+48*x-144*y, -1794150688*y+771827936*x-24550096*y^2-53708944*x^2+89876344*x*y+29757722208], [235/1001, true, 760-88*x^2+112*x*y+8*y^2+288*x-576*y, -10309140864*y+6568480512*x-26822448*y^2-197303472*x^2+261910368*x*y+130002116400], [2116/9009, true, 1808-188*x^2+196*x*y+52*y^2+900*x-1500*y, -35474400500*y+28287143500*x+9107924*y^2-570542476*x^2+626773252*x*y+356676843096], [2117/9009, true, 3608-344*x^2+304*x*y+136*y^2+2112*x-3168*y, -96577627168*y+90032018912*x+135948776*y^2-1406279704*x^2+1324426864*x*y+763966259448], [2120/9009, true, 756-54*x^2+216*x*y-54*y^2-270*x-270*y, -1931937480*y-3440311380*x-93300336*y^2-65875356*x^2+256852944*x*y+89119328544], [101/429, true, 280-64*x^2+104*x*y-16*y^2+72*x-216*y, -2027895672*y+872382984*x-36998032*y^2-80941648*x^2+135447448*x*y+30017065240], [2122/9009, true, -500-60*x^2+40*x*y-30*y^2+280*x+70*y, 1007532064*y+3943457056*x-45407776*y^2-83536672*x^2+64645888*x*y-78187649280], [193/819, true, -1404+432*y+432*x-108*y^2-108*x^2+108*x*y, 6498982512*y+6498982512*x-147704148*y^2-147704148*x^2+147704148*x*y-236769749244], [236/1001, true, -2324-322*x^2+392*x*y-238*y^2+1134*x+378*y, 9140924232*y+16252925436*x-371718832*y^2-443557228*x^2+558772528*x*y-453564175376], [2125/9009, true, -3344-864*x^2+976*x*y-384*y^2+3760*x-1040*y, -4817975360*y+55953135040*x-736151296*y^2-1288615936*x^2+1559902144*x*y-790551026496], [710/3003, true, 4968-324*x^2+876*x*y-36*y^2-684*x-2412*y, -23339074836*y-8547039732*x-174611668*y^2-398733412*x^2+1056468028*x*y+599259777424], [2131/9009, true, 2016-352*x^2+448*x*y+32*y^2+896*x-1792*y, -19216080576*y+12243547008*x-64281384*y^2-472847976*x^2+627681744*x*y+223902088488], [164/693, true, -3600+240*y+2160*x-120*y^2-360*x^2+180*x*y, 2953452128*y+32044904672*x-202080784*y^2-532665472*x^2+337037656*x*y-578747532480], [237/1001, true, -12096-576*x^2+384*x*y-576*y^2+3456*x+3456*y, 45969111936*y+54073362816*x-750248896*y^2-832110016*x^2+571828864*x*y-1959540906176], [194/819, true, 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460572641144*y+414221142104*x-6180653416*y^2-5797583176*x^2+4748535904*x*y-19081042018416], [239/1001, true, 29128-3784*x^2+3344*x*y+1496*y^2+19008*x-28512*y, -328318575552*y+306066581568*x+564864656*y^2-5843066224*x^2+5502969184*x*y+2902296897328], [2152/9009, true, -54080-3900*x^2+1300*x*y-780*y^2+32500*x+1300*y, 4960763500*y+547807067500*x-1638183100*y^2-6573149500*x^2+3186170500*x*y-9730052100600], [2153/9009, true, -180360-5400*x^2+2160*x*y-5400*y^2+47520*x+47520*y, 587330805600*y+831846153600*x-6832917000*y^2-8853705000*x^2+3957886800*x*y-30359883115800], [240/1001, true, 218700-9558*x^2+14472*x*y+6318*y^2+20898*x-121986*y, -1338870631824*y+391122407412*x+3433462952*y^2-14041214212*x^2+20180965648*x*y+27323318252560], [2161/9009, true, 78528-9088*x^2+6976*x*y+4352*y^2+56000*x-78400*y, -918045532800*y+966483619200*x+2131052544*y^2-15001030656*x^2+12429631872*x*y+7119487046016], [2162/9009, true, -147852-9324*x^2+2664*x*y-1554*y^2+87912*x+2442*y, -6191846848*y+1576022438672*x-3641344384*y^2-16717495504*x^2+7385033344*x*y-28249369042272], [2164/9009, true, 2048+256*x^2+256*x*y+256*y^2-1536*x-1536*y, -14372374016*y-12342826496*x+230187776*y^2+184061696*x^2+192914176*x*y+211605209088], [2165/9009, true, 1248-620*y-440*x+68*y^2+32*x^2+112*x*y, -4485585060*y-3060929520*x+41821164*y^2+15918336*x^2+79469856*x*y+100511825184], [722/3003, true, -7168-128*x^2-512*x*y-128*y^2+2304*x+2304*y, 23182393344*y+25398726144*x-95600128*y^2-129180928*x^2-511296512*x*y-818652090368], [197/819, true, -47200-1040*x^2-2480*x*y-380*y^2+15960*x+11340*y, 97519845808*y+155783715472*x-236922736*y^2-993596368*x^2-2059137536*x*y-4711443083520], [2168/9009, true, -172032-4096*x^2-6656*x*y-1024*y^2+59392*x+34816*y, 279312979968*y+535904557056*x-736238592*y^2-3652051968*x^2-4875545088*x*y-16072141602816], [241/1001, true, -475552-11264*x^2-13904*x*y-2684*y^2+163944*x+86724*y, 670600124964*y+1382697250704*x-2209011484*y^2-9401911744*x^2-9129454304*x*y-42294543344672], [2173/9009, true, 1344+128*x^2+208*x*y+32*y^2-928*x-544*y, -4469852376*y-8576093592*x+23564088*y^2+116887752*x^2+156046932*x*y+128601435456], [2174/9009, true, 348+18*x^2+24*x*y+18*y^2-150*x-150*y, -1331647900*y-1231405450*x+15153008*y^2+13330418*x^2+18117544*x*y+33173104188], [725/3003, true, -552-12*x^2-36*x*y-12*y^2+180*x+180*y, 1858930260*y+1970792340*x-10307524*y^2-12002404*x^2-35716172*x*y-64130111024], [2176/9009, true, -8820-238*x^2-392*x*y-112*y^2+3038*x+2156*y, 18955444662*y+28418794866*x-93409794*y^2-216310446*x^2-305529624*x*y-876966477300], [311/1287, true, -48192-1296*x^2-1464*x*y-576*y^2+16224*x+10464*y, 88916227664*y+138699827024*x-513981616*y^2-1079704336*x^2-992860124*x*y-4511474026752], [22/91, true, -167076-4182*x^2-3672*x*y-1938*y^2+54162*x+33966*y, 283677405264*y+428377938318*x-1755509692*y^2-3217131238*x^2-2219837288*x*y-14923444858724], [2179/9009, true, 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842180025500*y+576171356750*x-5734219000*y^2-3535800250*x^2-2451893000*x*y-34576382229000], [313/1287, true, 320-128*x^2+208*x*y-32*y^2+96*x-288*y, -2659638872*y+1144153384*x-72785848*y^2-159235672*x^2+266464372*x*y+38214338400], [2192/9009, true, 300-10*x^2+40*x*y+20*y^2-50*x-200*y, -2189344410*y-441362790*x+14788386*y^2-16993098*x^2+50035752*x*y+35541919260], [731/3003, true, 104+4*x^2+4*x*y+4*y^2-36*x-36*y, -403482684*y-346506204*x+4308116*y^2+3444836*x^2+3610516*x*y+11989919776], [2194/9009, true, -148-2*x^2-8*x*y-2*y^2+42*x+42*y, 243191872*y+266442022*x-859612*y^2-1161562*x^2-4597448*x*y-9848810388], [2195/9009, true, -2880-16*x^2-104*x*y-64*y^2+544*x+928*y, 7656674256*y+4229417808*x-43113168*y^2-4167072*x^2-87788988*x*y-258028303680], [169/693, true, -59800-380*x^2-980*x*y-1340*y^2+8700*x+18300*y, 152782169980*y+46869372220*x-952271284*y^2+10572332*x^2-873315068*x*y-5038577151360], [314/1287, true, -163956-1066*x^2-1976*x*y-3406*y^2+22594*x+48334*y, 391536058716*y+95235853086*x-2358308304*y^2+90453726*x^2-1755053784*x*y-13002084785844], [200/819, true, 512*y+512*x-256*y^2-256*x^2+256*x*y, 7702497792*y+7702497792*x-350113536*y^2-350113536*x^2+350113536*x*y-14004541440], [2201/9009, true, -240-72*x^2+48*x*y-36*y^2+240*x+60*y, 876756980*y+3431606420*x-55319548*y^2-101771356*x^2+78757024*x*y-38384332560], [2203/9009, true, 240+8*x^2+16*x*y-4*y^2-112*x-28*y, -125621496*y-1299699324*x-5934168*y^2+9313596*x^2+15131232*x*y+26865466560], [35/143, true, -3120+24*x^2-144*x*y-36*y^2+432*x+972*y, 3249400572*y+1546842132*x-6031876*y^2+11165684*x^2-53580704*x*y-118270334960], [2206/9009, true, -15360+128*x^2-512*x*y-256*y^2+1280*x+5120*y, 25917788160*y+5224919040*x-87533568*y^2+100583424*x^2-296165376*x*y-841501163520], [2207/9009, true, -48720+360*x^2-1200*x*y-900*y^2+2640*x+16500*y, 88103826800*y+4673903300*x-347108800*y^2+342394700*x^2-762044000*x*y-2709240304800], [170/693, true, 28+630*y+210*x-322*y^2-238*x^2+392*x*y, 11014073840*y+4178481230*x-442229116*y^2-317945614*x^2+483946456*x*y-39928411236], [67/273, true, -648+324*y+324*x-108*y^2-108*x^2+108*x*y, 4874236884*y+4874236884*x-147704148*y^2-147704148*x^2+147704148*x*y-111664335888], [316/1287, true, -500-30*x^2+40*x*y-60*y^2+70*x+280*y, 4099183858*y+1873716922*x-77154646*y^2-48252478*x^2+47836984*x*y-97064836980], [2213/9009, true, 448-16*x^2+104*x*y-64*y^2-288*x+96*y, 2905623248*y-3128985904*x-92108272*y^2-23533168*x^2+118179652*x*y+16782946944], [246/1001, true, 2268-54*x^2+216*x*y-54*y^2-486*x-486*y, -4301102916*y-7659219546*x-115397784*y^2-81477414*x^2+317686536*x*y+314880944508], [2215/9009, true, 4408-108*x^2+292*x*y-12*y^2-380*x-1340*y, -23534176820*y-8618488340*x-105642796*y^2-241239964*x^2+639179716*x*y+928448464944], [2216/9009, true, 4972-118*x^2+248*x*y+32*y^2-66*x-1716*y, -63795767266*y-1294027966*x-32602738*y^2-549146038*x^2+1119680968*x*y+2074939415052], [2221/9009, true, -1120-368*x^2+448*x*y-272*y^2+1008*x+336*y, 7657169212*y+13614750226*x-400347544*y^2-477718726*x^2+601807576*x*y-221077963800], [202/819, true, -3072+1024*y+1024*x-256*y^2-256*x^2+256*x*y, 15404995584*y+15404995584*x-350113536*y^2-350113536*x^2+350113536*x*y-522369395712], [19/77, true, -2656-272*x^2+448*x*y-368*y^2+432*x+1296*y, 22983350544*y+8719344018*x-512672692*y^2-368591818*x^2+561035272*x*y-588757018304], [2225/9009, true, 13728-1072*x^2+1984*x*y-592*y^2+880*x-4400*y, -35256483900*y+11574556290*x-1200131424*y^2-1587164814*x^2+2983014648*x*y+1504445763096], [2230/9009, true, 10956-1474*x^2+2728*x*y-814*y^2+770*x-3850*y, -25927416900*y+8511862590*x-1386895392*y^2-1834158762*x^2+3447230184*x*y+1245955612428], [2231/9009, true, -1344-1248*y+4512*x-576*y^2-1296*x^2+1464*x*y, -5043332272*y+58570297808*x-963230224*y^2-1686112384*x^2+2041081636*x*y-372014318016], [248/1001, true, -14196-1170*x^2+936*x*y-780*y^2+6318*x+2808*y, 41853755790*y+88628137290*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-2274705906980], [29/117, true, 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5720-31980*y+55380*x-1196*y^2-9932*x^2+8788*x*y, -340984852340*y+757423426540*x-3650865628*y^2-13636395436*x^2+13501455844*x*y-727324400880], [2252/9009, true, -151380+12760*y+79750*x-4060*y^2-10150*x^2+5800*x*y, 172624196250*y+1149097826250*x-6477333750*y^2-14547363750*x^2+10101375000*x*y-23984790592500], [205/819, true, 9000+600*x^2+720*x*y+600*y^2-4800*x-4800*y, -43511459200*y-39246935200*x+518923400*y^2+441386600*x^2+544388080*x*y+903086115000], [752/3003, true, 3280+68*x^2+196*x*y+116*y^2-996*x-1284*y, -7457089068*y-5614130412*x+58319892*y^2+30396276*x^2+109332612*x*y+211744546200], [2257/9009, true, -24600-360*x^2-1200*x*y-360*y^2+6720*x+6720*y, 68755456000*y+73829324800*x-295744000*y^2-361638400*x^2-1194368000*x*y-2825161920000], [251/1001, true, -483560-8536*x^2-13904*x*y-3256*y^2+139392*x+91872*y, -46708162007400+782123820192*y+1286997494112*x-2616049656*y^2-7715783736*x^2-10568381904*x*y], [2264/9009, true, 6864+374*x^2+616*x*y+176*y^2-3410*x-2420*y, -20886204240*y-31313470320*x+144094032*y^2+333680688*x^2+471310272*x*y+663773570208], [755/3003, true, 1416+48*x^2+72*x*y+48*y^2-504*x-504*y, -4360098864*y-4135329264*x+39027488*y^2+35621888*x^2+54069232*x*y+133035826576], [206/819, true, -2112-36*x^2-96*x*y-36*y^2+588*x+588*y, 6134481892*y+6404488552*x-32271484*y^2-35778064*x^2-94794224*x*y-245808734808], [2267/9009, true, -29700-580*x^2-980*x*y-340*y^2+8560*x+6640*y, 60400139184*y+81222338736*x-291996684*y^2-528612588*x^2-788737068*x*y-3015459562500], [36/143, true, -153000-2958*x^2-3672*x*y-1632*y^2+43146*x+31212*y, 276305435208*y+381223693224*x-1459857928*y^2-2519638312*x^2-2662212128*x*y-14855984647280], [2269/9009, true, -508656-9216*x^2-9264*x*y-5184*y^2+138480*x+98160*y, 857877144520*y+1153795129960*x-4700646688*y^2-7390810192*x^2-6196472888*x*y-47850471281832], [2273/9009, true, 7344+144*x^2+864*x*y+144*y^2-2880*x-2880*y, -26271567520*y-29863525120*x+71589416*y^2+136897736*x^2+812150896*x*y+777774608376], [758/3003, true, 1656+36*x^2+108*x*y+36*y^2-540*x-540*y, -5020849020*y-5322981180*x+27839948*y^2+32417708*x^2+96467044*x*y+173211234448], [2276/9009, true, -3888-72*x^2-108*x*y-72*y^2+1008*x+1008*y, 9396182048*y+8911794848*x-63079312*y^2-57574912*x^2-87390968*x*y-391237299648], [23/91, true, -43056-720*x^2-864*x*y-720*y^2+10368*x+10368*y, 95920767360*y+86519648160*x-635535400*y^2-540574600*x^2-666722480*x*y-4227785036120], [2278/9009, true, -192456-2916*x^2-2916*x*y-2916*y^2+43740*x+43740*y, 400280734260*y+343756407060*x-2564356644*y^2-2050499124*x^2-2149118244*x*y-18399072322944], [2279/9009, true, -584064-8064*x^2-6912*x*y-8064*y^2+126720*x+126720*y, 1144278143360*y+935778377600*x-7020116032*y^2-5296977472*x^2-4873456256*x*y-54268425091392], [326/1287, true, 6084-156*x^2+936*x*y+234*y^2-1560*x-3510*y, -35781127360*y-17033220160*x+119557184*y^2-221313856*x^2+1062017536*x*y+717542049024], [761/3003, true, 3184+32*x^2+208*x*y+128*y^2-816*x-1392*y, -14735486304*y-8139634272*x+110630016*y^2+10692864*x^2+225269856*x*y+368546316768], [2284/9009, true, 708+18*x^2+24*x*y+18*y^2-210*x-210*y, -2310890120*y-2136933260*x+18782816*y^2+16523636*x^2+22457488*x*y+83056133616], [2285/9009, true, -972-12*x^2-36*x*y-12*y^2+240*x+240*y, 1644661040*y+1743629360*x-6839572*y^2-7964212*x^2-23699516*x*y-75165920172], [254/1001, true, -14756-112*x^2-392*x*y-238*y^2+2772*x+3906*y, 33670519344*y+22976509248*x-174403152*y^2-66382848*x^2-331406208*x*y-1388449296864], [2287/9009, true, -78216-576*x^2-1464*x*y-1296*y^2+13080*x+20280*y, 180154610680*y+100966015480*x-1001544016*y^2-281647696*x^2-1272450344*x*y-7396981096296], [16/63, true, -264996-1938*x^2-3672*x*y-4182*y^2+41514*x+66198*y, 588064449896*y+292355503748*x-3268398784*y^2-824523196*x^2-3183275984*x*y-24562203577632], [2291/9009, true, 2184-616*x^2+784*x*y+56*y^2+1120*x-2240*y, -24390400320*y+15540370560*x-114226632*y^2-840240648*x^2+1115376912*x*y+281048785992], [764/3003, true, 2400-60*x^2+180*x*y+180*y^2-180*x-1620*y, -18953204556*y+915933876*x+156095204*y^2-144952348*x^2+262149124*x*y+282094984360], [2293/9009, true, 2136+72*x^2+48*x*y+72*y^2-672*x-672*y, -7694796032*y-5694520832*x+79541312*y^2+53563712*x^2+40782208*x*y+237406239936], [2294/9009, true, 1440+32*x^2+52*x*y+8*y^2-464*x-272*y, -3238003296*y-6212603232*x+8535024*y^2+42337296*x^2+56520936*x*y+202515055200], [255/1001, true, -3912-24*x^2-144*x*y-24*y^2+864*x+864*y, 3291751584*y+3741813504*x-4983304*y^2-9529384*x^2-56533424*x*y-174492621272], [328/1287, true, -30576-36*x^2-876*x*y-324*y^2+4740*x+7620*y, 53324247460*y+34440813220*x-164012332*y^2+7655252*x^2-641507108*x*y-2401019669928], [2297/9009, true, -115800-40*x^2-2480*x*y-1480*y^2+14080*x+29920*y, 229106712384*y+98935632576*x-881816976*y^2+193977072*x^2-2023253856*x*y-9663617945520], [2300/9009, true, -1350*x^2+1080*x*y-900*y^2+4050*x+1800*y, 26949414800*y+57067194800*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-48696684000], [59/231, true, 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[257/1001, true, 3040+32*x^2+448*x*y-352*y^2-2304*x+1152*y, 24427627488*y-21258347616*x-466934328*y^2-5459832*x^2+440381232*x*y+14696273880], [178/693, true, 13224-36*x^2+876*x*y-324*y^2-4020*x-1140*y, 593624020*y-53468913740*x-541373908*y^2-49896292*x^2+1071954652*x*y+1531677143568], [2315/9009, true, 23616-192*x^2+1152*x*y-192*y^2-4224*x-4224*y, -50901203584*y-75587526784*x-529759552*y^2-325740352*x^2+1900861312*x*y+3943863408576], [2320/9009, true, -1500-2250*x^2+3000*x*y-2250*y^2+5250*x+5250*y, 93330622000*y+77417609500*x-3156133000*y^2-2949470500*x^2+3888094000*x*y-698124462000], [211/819, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [258/1001, true, -14196+6318*y+2808*x-1170*y^2-780*x^2+936*x*y, 93879308160*y+53630699760*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-2666667679520], [2323/9009, true, -5016-576*x^2+1464*x*y-1296*y^2-1560*x+5640*y, 100357632760*y-1602071240*x-1756303024*y^2-829396624*x^2+1687921816*x*y-1861020459144], [332/1287, true, 18876-814*x^2+2728*x*y-1474*y^2-6050*x+1210*y, 68249720880*y-69837940260*x-2242653912*y^2-1101433572*x^2+3357213264*x*y+1046464057728], [2330/9009, true, 10368+2160*y+10800*x-3672*y^2-4752*x^2+6804*x*y, 91025987360*y+144810770720*x-5461918672*y^2-6073109392*x^2+8855064904*x*y+429967136928], [37/143, true, -23976-3672*x^2+3888*x*y-2808*y^2+15552*x+7776*y, 134536479264*y+215120857248*x-4042558552*y^2-4856542168*x^2+5367208432*x*y-4329083630984], [212/819, true, -46656-2916*x^2+2916*x*y-2916*y^2+14580*x+14580*y, 219340659780*y+219340659780*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-8079712303896], [2333/9009, true, -49896-2808*x^2+3888*x*y-3672*y^2+9504*x+19008*y, 307160602496*y+166962359168*x-5004984784*y^2-3846321616*x^2+4932934816*x*y-9901409583792], [20/77, true, 50968-14076*y+29394*x-5704*y^2-10534*x^2+14536*x*y, -39021074136*y+373670024904*x-9254113704*y^2-13422710664*x^2+19296531936*x*y+5100872114448], [2341/9009, true, -45456-9216*x^2+9264*x*y-5184*y^2+45840*x+5520*y, 151165660360*y+612517682920*x-7959014752*y^2-12153124048*x^2+13169562952*x*y-8355788506728], [2342/9009, true, -135000-8400*x^2+7200*x*y-6300*y^2+52800*x+29700*y, 445383116684*y+747445393376*x-8913509716*y^2-11409892168*x^2+10465315024*x*y-22240968452760], [782/3003, true, 27648+1152*x^2+1536*x*y+1152*y^2-11520*x-11520*y, -102270558720*y-94571938560*x+969792512*y^2+853146752*x^2+1159522816*x*y+2718268085248], [2347/9009, true, 7080+116*x^2+304*x*y+176*y^2-1876*x-2296*y, -10126838106*y-8075738286*x+67903326*y^2+41265666*x^2+127228104*x*y+346756075740], [2348/9009, true, -64512-768*x^2-2304*x*y-768*y^2+15360*x+15360*y, 158628715520*y+168174279680*x-659681536*y^2-768153856*x^2-2285835008*x*y-7430226054144], [261/1001, true, -340200-4428*x^2-9648*x*y-2592*y^2+83268*x+66744*y, 613489592826*y+826235387802*x-2070407578*y^2-4219355002*x^2-8252913992*x*y-35111198562740], [785/3003, true, 22960+812*x^2+1372*x*y+476*y^2-8988*x-6972*y, -61056662436*y-82105190244*x+393560748*y^2+712477836*x^2+1063080396*x*y+2227071286440], [2356/9009, true, 4160+100*x^2+160*x*y+100*y^2-1260*x-1260*y, -10733341850*y-10312171100*x+79589750*y^2+74120000*x^2+119608600*x*y+386892482100], [2357/9009, true, -5920-80*x^2-200*x*y-80*y^2+1440*x+1440*y, 15105160400*y+15629622800*x-73211800*y^2-79171600*x^2-196875500*x*y-689599324800], [262/1001, true, -77012-1144*x^2-1976*x*y-754*y^2+19188*x+15678*y, 145163455668*y+183447284328*x-655330284*y^2-1042035624*x^2-1621934496*x*y-7909312009032], [337/1287, true, -381040-5588*x^2-7436*x*y-3476*y^2+93060*x+71940*y, 650182345780*y+837571066420*x-3107013772*y^2-4810547596*x^2-5607469652*x*y-37731395530920], [788/3003, true, 28672+512*x^2+2048*x*y+512*y^2-9216*x-9216*y, -85075009536*y-93208532736*x+350834432*y^2+474069632*x^2+1876361728*x*y+3004298708992], [215/819, true, 5632+96*x^2+256*x*y+96*y^2-1568*x-1568*y, -14612259662*y-15255412172*x+76870274*y^2+85222904*x^2+225798664*x*y+585513352788], [263/1001, true, -11264-160*x^2-256*x*y-160*y^2+2592*x+2592*y, 24190607430*y+23241380580*x-139516150*y^2-129928000*x^2-209666840*x*y-1141979201060], [2368/9009, true, -118784-1536*x^2-2048*x*y-1536*y^2+25600*x+25600*y, 237853580800*y+219948678400*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-11850492337152], [2369/9009, true, -511488-6048*x^2-6912*x*y-6048*y^2+104544*x+104544*y, 964832335434*y+859603408884*x-5337783198*y^2-4468122648*x^2-5272075512*x*y-50131818179388], [113/429, true, 32400+108*x^2+2628*x*y+972*y^2-8532*x-13716*y, -138847155348*y-89677945236*x+711766436*y^2-33221596*x^2+2783956684*x*y+3716333129080], [2374/9009, true, 13860+176*x^2+616*x*y+374*y^2-3388*x-4774*y, -49570486812*y-33826527504*x+330120252*y^2+125653248*x^2+627304608*x*y+1579716560520], [2375/9009, true, 2592+48*x^2+72*x*y+48*y^2-672*x-672*y, -7334429872*y-6956329072*x+49238168*y^2+44941568*x^2+68215252*x*y+305390266272], [24/91, true, -3456-36*x^2-96*x*y-36*y^2+756*x+756*y, 5462247186*y+5702665716*x-22349506*y^2-24777976*x^2-65649416*x*y-279402036836], [2377/9009, true, -46800-340*x^2-980*x*y-580*y^2+8300*x+10700*y, 93540678660*y+70422863940*x-438933924*y^2-228771972*x^2-822871764*x*y-4479414671160], [2378/9009, true, -235620-1632*x^2-3672*x*y-2958*y^2+38148*x+52734*y, 475134871112*y+310534490024*x-2352929224*y^2-992595496*x^2-3147610496*x*y-22841836982880], [794/3003, true, 25600-15360*y-3840*x+1280*y^2-640*x^2+2560*x*y, -168141650688*y-33896662272*x+946456704*y^2-1087558272*x^2+3202288128*x*y+3172274150400], [2384/9009, true, 11264+256*x^2+256*x*y+256*y^2-3072*x-3072*y, -34430522368*y-29568529408*x+275719424*y^2+220469504*x^2+231073024*x*y+1309445538816], [265/1001, true, 4216+68*x^2+112*x*y+32*y^2-1116*x-792*y, -11038116078*y-16548804954*x+42306678*y^2+97970202*x^2+138378888*x*y+666929878524], [2386/9009, true, -19456-128*x^2-512*x*y-128*y^2+3840*x+3840*y, 22234685440*y+24360413440*x-55015168*y^2-74339968*x^2-294236672*x*y-1291184848896], [31/117, true, -117400-380*x^2-2480*x*y-1040*y^2+17820*x+25080*y, 193664558582*y+141120160478*x-631036786*y^2-196785562*x^2-1938993512*x*y-10119417002340], [797/3003, true, 9328-2068*x^2+2156*x*y+572*y^2+5940*x-9900*y, -114858588900*y+91587774300*x+49149212*y^2-3078825988*x^2+3382264876*x*y+1242129453448], [184/693, true, 11560-204*x^2+544*x*y+816*y^2-476*x-7616*y, -91905382646*y+18008526844*x+742531586*y^2-684921784*x^2+902089624*x*y+1306907884620], [2393/9009, true, 14688+432*x^2+216*x*y+432*y^2-4320*x-4320*y, -50062296240*y-31517236080*x+480655944*y^2+269916624*x^2+176467572*x*y+1562032195776], [2395/9009, true, 10192+108*x^2+292*x*y+12*y^2-2540*x-1580*y, -24624717260*y-48036997580*x-9811516*y^2+203027396*x^2+467345164*x*y+1963962367224], [2396/9009, true, -32832-108*x^2-864*x*y-108*y^2+5940*x+5940*y, 11441589390*y+13275454500*x-6970698*y^2-22126608*x^2-175175784*x*y-748409266332], [800/3003, true, -4608*x^2+3072*x*y-2304*y^2+18432*x+4608*y, 67334936064*y+263547373056*x-3540451072*y^2-6513366784*x^2+5040449536*x*y-120508067840], [343/1287, true, -8160-1600*x^2+640*x*y-400*y^2+8960*x+560*y, 5133778650*y+147978230400*x-785544750*y^2-2640667500*x^2+1437744600*x*y-1446508953900], [267/1001, true, 14688+576*x^2+384*x*y-144*y^2-6912*x-432*y, 6031250478*y-53394823152*x-156660934*y^2+443602436*x^2+191478424*x*y+1044165676588], [2404/9009, true, 30720+512*x^2+1024*x*y-256*y^2-10240*x-2560*y, -11485393920*y-118829652480*x-379786752*y^2+596070144*x^2+968398848*x*y+3437242214400], [185/693, true, 36000+192*x^2+1152*x*y-144*y^2-8448*x-4752*y, -55340923726*y-141445193824*x-382859662*y^2+328745876*x^2+1680445336*x*y+5891936284260], [2410/9009, true, 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370027406826*y+332788275666*x-6069044506*y^2-5692891666*x^2+4662787864*x*y-10146511213076], [346/1287, true, -51200-1920*x^2+2560*x*y-3840*y^2+6400*x+25600*y, 374782524160*y+171311261440*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-10431722327040], [270/1001, true, -26244-12312*x^2+14472*x*y-11178*y^2+45684*x+35478*y, 602604286812*y+653347453176*x-15743191972*y^2-16255749208*x^2+19312559968*x*y-7271238711896], [17/63, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [2432/9009, true, -135000-6300*x^2+7200*x*y-8400*y^2+29700*x+52800*y, 788466492242*y+516362411708*x-11170516846*y^2-8921722792*x^2+9308529688*x*y-25315197618180], [2437/9009, true, 68600+1960*x^2+2800*x*y+1960*y^2-23520*x-23520*y, -205733860640*y-193147982720*x+1617752120*y^2+1454299160*x^2+2108232400*x*y+6644637066600], [2438/9009, true, 13440+176*x^2+436*x*y+248*y^2-3152*x-3728*y, -11300113440*y-9360156960*x+66201840*y^2+44156880*x^2+124417080*x*y+452004516000], [271/1001, true, -143080-1400*x^2-3920*x*y-1400*y^2+30240*x+30240*y, 314174539008*y+330144680448*x-1234022080*y^2-1395336640*x^2-3878916224*x*y-16511063836736], [2446/9009, true, 60180+1496*x^2+2584*x*y+986*y^2-19516*x-15946*y, -140527726416*y-177588978336*x+815660496*y^2+1296975456*x^2+2018749824*x*y+5845187910240], [2447/9009, true, 10020+180*x^2+300*x*y+180*y^2-2640*x-2640*y, -22259324560*y-21554001040*x+141209420*y^2+133194380*x^2+223474900*x*y+925033299300], [272/1001, true, -13740-150*x^2-360*x*y-150*y^2+2970*x+2970*y, 31260319992*y+32156719452*x-138954640*y^2-148009180*x^2-353612336*x*y-1601470264064], [2449/9009, true, -169440-1984*x^2-3488*x*y-1408*y^2+37280*x+31520*y, 295031365200*y+358079950800*x-1231476480*y^2-1804645440*x^2-2901253680*x*y-17530222834800], [2455/9009, true, 82000+1200*x^2+4000*x*y+1200*y^2-22400*x-22400*y, 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[2477/9009, true, -59160-360*x^2-1200*x*y-360*y^2+10560*x+10560*y, 68540595200*y+73598608160*x-187612600*y^2-229414360*x^2-757677200*x*y-4350717753480], [2482/9009, true, 84100-1740*x^2+5800*x*y+4350*y^2-8120*x-50750*y, -578525837120*y-30690764720*x+3581692160*y^2-3533049040*x^2+7863260800*x*y+10723559661600], [191/693, true, 78100+836*x^2+2156*x*y+2948*y^2-15312*x-32208*y, -371783243920*y-114052884880*x+2896595420*y^2-32158660*x^2+2656428340*x*y+9313998222900], [276/1001, true, 66420+1350*x^2+1080*x*y+1350*y^2-17010*x-17010*y, -193033752912*y-154022440572*x+1478032920*y^2+1083979260*x^2+943605936*x*y+7621179287904], [355/1287, true, 52144+864*x^2+976*x*y+384*y^2-13520*x-8720*y, -97630340720*y-152292913520*x+451482944*y^2+948415424*x^2+872131216*x*y+6437132102544], [226/819, true, 11740+104*x^2+248*x*y+38*y^2-2508*x-1782*y, -50712048640*y-81010293760*x+78402560*y^2+328801280*x^2+681410560*x*y+3930114662400], [2491/9009, true, 30080-5504*x^2+4864*x*y+2176*y^2+21504*x-32256*y, 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4818395120*y+532085615600*x-1988961340*y^2-7980634300*x^2+3868413700*x*y-5169325938180], [2503/9009, true, 54600+2000*x^2+1000*x*y-400*y^2-25000*x-1000*y, 26120080800*y-158406732000*x-414607680*y^2+1262908800*x^2+354304800*x*y+3066684282720], [2504/9009, true, 121800+2250*x^2+3000*x*y-900*y^2-41250*x-6600*y, -2834294320*y-423600720400*x-1168109680*y^2+2309298800*x^2+2383067200*x*y+11943306872160], [2510/9009, true, -59840+49776*y+72624*x-9928*y^2-12784*x^2+7412*x*y, 667745972960*y+1119332841440*x-13753371280*y^2-18885040240*x^2+12330697720*x*y-10831916805600], [279/1001, true, -93960-5400*x^2+2160*x*y-5400*y^2+38880*x+38880*y, 505257046272*y+715603756032*x-7184324160*y^2-9309038400*x^2+4161435264*x*y-16999616505024], [2512/9009, true, -54080-780*x^2+1300*x*y-3900*y^2+1300*x+32500*y, 453816507100*y+257263966300*x-4810912060*y^2-3024070780*x^2+1370614900*x*y-13756193051640], [359/1287, true, 39688+1496*x^2+3344*x*y-3784*y^2-34848*x+23232*y, 406846860992*y-219784996288*x-4646058664*y^2+532717016*x^2+2567375824*x*y-3328483535832], [40/143, true, -116620-17150*x^2+13720*x*y-17150*y^2+92610*x+92610*y, 1308499852968*y+1438868246508*x-23137078720*y^2-24453931180*x^2+19839816976*x*y-22313836528256], [2521/9009, true, -185920-9344*x^2+6976*x*y-12032*y^2+58560*x+85440*y, 1179079013200*y+1044954446800*x-15699372160*y^2-14480057920*x^2+9960944080*x*y-34071961954800], [194/693, true, -151380-4060*x^2+5800*x*y-10150*y^2+12760*x+79750*y, 1152865232640*y+496420911360*x-12853175040*y^2-7428015360*x^2+6650726400*x*y-33034028774400], [2528/9009, true, 147456+3072*x^2+4608*x*y+3072*y^2-43008*x-43008*y, -372061769728*y-352881430528*x+2497759232*y^2+2279800832*x^2+3460430848*x*y+14121233596416], [281/1001, true, 23296+248*x^2+592*x*y+332*y^2-4896*x-5652*y, -9397669248*y-7997263164*x+48845808*y^2+34700292*x^2+92160288*x*y+429479663184], [2537/9009, true, 134400+2480*x^2+4360*x*y+1760*y^2-37280*x-31520*y, -278691166512*y-338247830448*x+1454089536*y^2+2130869808*x^2+3425711076*x*y+13064527644480], [282/1001, true, 21084+294*x^2+504*x*y+294*y^2-4914*x-4914*y, -41130521784*y-40037416254*x+228256124*y^2+217214654*x^2+374407384*x*y+1935579254404], [2539/9009, true, -28056-252*x^2-588*x*y-252*y^2+5460*x+5460*y, 57602017660*y+59009005660*x-235326172*y^2-248116972*x^2-576657068*x*y-3271658638176], [2546/9009, true, 193536+2304*x^2+6912*x*y+2304*y^2-46080*x-46080*y, -428445783040*y-454227727360*x+1781756672*y^2+2074733312*x^2+6173890816*x*y+20068554482688], [283/1001, true, 32976+360*x^2+864*x*y+360*y^2-7128*x-7128*y, -66529863180*y-68437627830*x+295730600*y^2+315000950*x^2+752576440*x*y+3408333554560], [2549/9009, true, -54864-504*x^2-864*x*y-504*y^2+10296*x+10296*y, 96173639144*y+93617679914*x-436680796*y^2-415557166*x^2-716285336*x*y-5600903825496], [284/1001, true, 100708+986*x^2+2584*x*y+1496*y^2-20502*x-25092*y, 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-1143811951524*y-278216793954*x+8420417424*y^2-322968006*x^2+6266477304*x*y+29044020362544], [2584/9009, true, 251904+4608*x^2+3072*x*y+4608*y^2-61440*x-61440*y, -703524208640*y-520641904640*x+5090643968*y^2+3428077568*x^2+2610061312*x*y+28458012033024], [235/819, true, 249408+3936*x^2+3456*x*y+1824*y^2-62304*x-39072*y, -424630722736*y-641229897682*x+2150006252*y^2+3940082078*x^2+2718677128*x*y+28935634177224], [2591/9009, true, 80256-12496*x^2+9592*x*y+5984*y^2+61600*x-86240*y, -1062502697520*y+1118562659280*x+3082974912*y^2-21701858688*x^2+17981838756*x*y+10993441117248], [288/1001, true, 114996-1110*x^2+2664*x*y+6660*y^2-1998*x-71928*y, -893076393330*y+376684499070*x+6224329850*y^2-6601537750*x^2+5593287640*x*y+11588884516060], [2593/9009, true, 195000+4500*x^2+1500*x*y+4500*y^2-52500*x-52500*y, -616017132500*y-257736132500*x+4988133500*y^2+1731033500*x^2+1224044500*x*y+18716017110000], [2594/9009, true, 290076+6026*x^2+3496*x*y+1886*y^2-85514*x-39974*y, -402777871056*y-754617991446*x+2331940644*y^2+5239710234*x^2+1993604184*x*y+29556167192244], [200/693, true, -27648*x^2+13824*x*y-9216*y^2+165888*x+18432*y, 234299715584*y+2542147874816*x-16031229952*y^2-42256777216*x^2+26737466368*x*y-404474511360], [289/1001, true, -74592-10584*x^2+3024*x*y-1764*y^2+81648*x+2268*y, -6082723152*y+1548246978828*x-4372096864*y^2-20072396884*x^2+8867077024*x*y-15069836285072], [2603/9009, true, 159840+5400*x^2+2160*x*y-900*y^2-71280*x-1980*y, 80229420260*y-357896406340*x-919923700*y^2+2700950900*x^2+513741280*x*y+6701395507920], [290/1001, true, -168260-28858*x^2+13912*x*y-20962*y^2+197118*x+126054*y, 1644454490976*y+3135675220722*x-29281830588*y^2-44344666242*x^2+25342358328*x*y-30600914409180], [373/1287, true, -255192-12348*x^2+4116*x*y-12348*y^2+102900*x+102900*y, 1323919666300*y+2016289313500*x-16477271356*y^2-22771540876*x^2+8883276052*x*y-48052720542624], [2612/9009, true, -147852-1554*x^2+2664*x*y-9324*y^2+2442*x+87912*y, 1219297412762*y+791709425342*x-11500471534*y^2-7966686514*x^2+2847266824*x*y-40439605323012], [291/1001, true, 285768+4536*x^2+7056*x*y+4536*y^2-72576*x-72576*y, -622490907456*y-594754861536*x+3644770856*y^2+3364608776*x^2+5286032176*x*y+27123248762008], [292/1001, true, 267904-56304*y-64998*x+2852*y^2+3818*x^2+6808*x*y, -498784023936*y-588410013312*x+2352544128*y^2+3257857152*x^2+5371356672*x*y+26056950518016], [239/819, true, 40208+448*x^2+784*x*y+448*y^2-8400*x-8400*y, -69923935400*y-68323541000*x+345099488*y^2+330550448*x^2+581145304*x*y+3675056566248], [293/1001, true, 400624+3920*x^2+10976*x*y+3920*y^2-84672*x-84672*y, -788367080160*y-828441408960*x+3096566600*y^2+3501357800*x^2+9733474480*x*y+41431680709720], [2638/9009, true, 65464+588*x^2+1372*x*y+588*y^2-12740*x-12740*y, -118949058140*y-121854510140*x+485952188*y^2+512365388*x^2+1190805772*x*y+6756025732704], [42/143, true, 623700+4752*x^2+17688*x*y+8118*y^2-122364*x-152658*y, -1515900114432*y-1233204261696*x+6722834432*y^2+3867320768*x^2+17178575872*x*y+69012803336320], [2647/9009, true, 211800+1760*x^2+4360*x*y+2480*y^2-39400*x-46600*y, -471779736120*y-390786553080*x+2211141456*y^2+1474839792*x^2+4155530472*x*y+23636357097480], [2648/9009, true, 32004+294*x^2+504*x*y+294*y^2-6006*x-6006*y, -64915065424*y-63189849844*x+294749816*y^2+280491836*x^2+483476656*x*y+3780485396016], [295/1001, true, 835240+5624*x^2+24016*x*y+14744*y^2-158688*x-240768*y, -2520963865728*y-1585419853248*x+12922556184*y^2+3472616664*x^2+25083450576*x*y+97466115796200], [2656/9009, true, 450320+4108*x^2+8788*x*y+6604*y^2-85020*x-109980*y, -1170149234540*y-834865348460*x+6253917332*y^2+3205882004*x^2+8767605964*x*y+52348868983320], [2657/9009, true, 189560+1960*x^2+2800*x*y+1960*y^2-36960*x-36960*y, -404785849600*y-380022860800*x+2025521600*y^2+1820868800*x^2+2639632000*x*y+22446036475200], [296/1001, true, 929488+5246*x^2+27176*x*y+22016*y^2-169506*x-320436*y, -3508952838336*y-1597516911936*x+20073477056*y^2+766043456*x^2+30740982016*x*y+113179731657088], [205/693, true, 678208+6912*x^2+12352*x*y+12288*y^2-130880*x-184640*y, -2040892569320*y-1228848364040*x+12126919424*y^2+4744699376*x^2+12853298776*x*y+80674818537864], [2666/9009, true, 447552+5292*x^2+6048*x*y+5292*y^2-91476*x-91476*y, -1016877233196*y-905972057496*x+5625713412*y^2+4709141712*x^2+5556461328*x*y+52836024139272], [27/91, true, 834624+1728*x^2+25728*x*y+27072*y^2-131328*x-359424*y, -4103094733056*y-978381626112*x+25078323128*y^2-6484435528*x^2+32734156432*x*y+105469854355336], [382/1287, true, 772008+8588*x^2+12844*x*y+17708*y^2-150100*x-241300*y, -2762815146300*y-1247397356700*x+17942554188*y^2+4166028828*x^2+14347894284*x*y+92598030061488], [2675/9009, true, 681408+9408*x^2+8064*x*y+9408*y^2-147840*x-147840*y, -1671565012480*y-1366987916800*x+10255006976*y^2+7737840896*x^2+7119159808*x*y+79275481395456], [298/1001, true, 550564-7420*x^2+20776*x*y+25970*y^2-26712*x-327222*y, -3897596244960*y+498483707040*x+23200365600*y^2-21204482400*x^2+32338586880*x*y+72183093131520], [2683/9009, true, 640904+6688*x^2+9592*x*y+19888*y^2-114840*x-246840*y, -2934812918840*y-551536022840*x+20230492208*y^2-1435661392*x^2+12899250472*x*y+75244496257704], [244/819, true, 738500+12250*x^2+7000*x*y+12250*y^2-173250*x-173250*y, -1997244271000*y-1366400183500*x+13598798000*y^2+8385210500*x^2+5814706000*x*y+81998479218000], [23/77, true, 186760-25288*x^2+17168*x*y+13688*y^2+150336*x-200448*y, -2511915227712*y+2925393397344*x+7896105032*y^2-47026204312*x^2+34953552112*x*y+25708133789560], [2692/9009, true, 280000-2100*x^2+4900*x*y+14700*y^2-3500*x-171500*y, -2145244063820*y+1123327200820*x+13752285476*y^2-15961998748*x^2+11499866572*x*y+26321899868520], [2693/9009, true, 509544+10584*x^2+3024*x*y+10584*y^2-133056*x-133056*y, -1566614421504*y-493541351424*x+11664746496*y^2+2796374016*x^2+2564960256*x*y+46171319556096], [300/1001, true, -55566*x^2+24696*x*y-15876*y^2+388962*x+31752*y, 353840775552*y+6189502442112*x-29354924416*y^2-88301001856*x^2+51561550336*x*y-590261853440], [2701/9009, true, -176400-21952*x^2+5488*x*y-3136*y^2+192080*x+3920*y, -42552176040*y+3877811186040*x-8686895328*y^2-44326562256*x^2+18147466584*x*y-37926335562840], [208/693, true, -432*x^2+216*x*y-144*y^2+1296*x+144*y, 1830466528*y+19860530272*x-250487968*y^2-660262144*x^2+417772912*x*y-1579978560], [2705/9009, true, -1350*x^2+1080*x*y-900*y^2+4050*x+1800*y, 26949414800*y+57067194800*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-48696684000], [82/273, true, 8748*y+8748*x-2916*y^2-2916*x^2+2916*x*y, 131604395868*y+131604395868*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-358921079640], [2707/9009, true, -5292*x^2+6048*x*y-7056*y^2+15876*x+28224*y, 425978164612*y+278970780088*x-9483573388*y^2-7574386576*x^2+7902778864*x*y-1552175484240], [2708/9009, true, -8640*x^2+10800*x*y-14400*y^2+25920*x+72000*y, 1096240402400*y+566276770400*x-19345352800*y^2-13323038800*x^2+13776151000*x*y-4997568192000], [43/143, true, -13122*x^2+17496*x*y-26244*y^2+39366*x+157464*y, 2429466968808*y+1110497486472*x-35565688008*y^2-22242763944*x^2+22051235232*x*y-13296437044560], [904/3003, true, 216+72*x^2+48*x*y+72*y^2-288*x-288*y, -3297769728*y-2440508928*x+79541312*y^2+53563712*x^2+40782208*x*y+27002689216], [2713/9009, true, 900-60*x^2+180*x*y+180*y^2-120*x-1080*y, -12635469704*y+610622584*x+156095204*y^2-144952348*x^2+262149124*x*y+116753336460], [2714/9009, true, 2184-616*x^2+784*x*y+56*y^2+1120*x-2240*y, -24390400320*y+15540370560*x-114226632*y^2-840240648*x^2+1115376912*x*y+281048785992], [905/3003, true, 2268-1404*y+5076*x-864*y^2-1944*x^2+2196*x*y, -5618380944*y+65248575216*x-1430745664*y^2-2504487424*x^2+3031745296*x*y+212678192848], [388/1287, true, -3960-4488*x^2+4752*x*y-3432*y^2+14784*x+7392*y, 126496570816*y+202265221312*x-4886967856*y^2-5870976304*x^2+6488310496*x*y-1100336883600], [19/63, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [302/1001, true, -81000+99360*y+73440*x-18360*y^2-15480*x^2+14640*x*y, 1459301111136*y+1222953139584*x-24853284616*y^2-22465931368*x^2+20225738704*x*y-18510475943960], [907/3003, true, 108+18*x^2+24*x*y+18*y^2-90*x-90*y, -990381480*y-915828540*x+18782816*y^2+16523636*x^2+22457488*x*y+13161766216], [2722/9009, true, 1344+32*x^2+208*x*y+128*y^2-544*x-928*y, -9823657536*y-5426422848*x+110630016*y^2+10692864*x^2+225269856*x*y+158857711488], [389/1287, true, 6084-156*x^2+936*x*y+234*y^2-1560*x-3510*y, -35781127360*y-17033220160*x+119557184*y^2-221313856*x^2+1062017536*x*y+717542049024], [908/3003, true, 14904-972*x^2+2628*x*y-108*y^2-2052*x-7236*y, -68114980164*y-24944495268*x-509603332*y^2-1163701588*x^2+3083296972*x*y+1748936842576], [2725/9009, true, 22908-3082*x^2+5704*x*y-1702*y^2+1610*x-8050*y, -52113461400*y+17108631540*x-2787625152*y^2-3686613372*x^2+6928846704*x*y+2504339709768], [2726/9009, true, 16128-7392*x^2+10584*x*y-5712*y^2+16800*x+3360*y, 137180009120*y+218235950240*x-8231342224*y^2-9152432464*x^2+13344956968*x*y+647978642976], [303/1001, true, -32076-15048*x^2+17688*x*y-13662*y^2+55836*x+43362*y, 724011030864*y+784977427872*x-18914974384*y^2-19530796576*x^2+23203463296*x*y-8736175879712], [2731/9009, true, 756+36*x^2+108*x*y+36*y^2-360*x-360*y, -3347232680*y-3548654120*x+27839948*y^2+32417708*x^2+96467044*x*y+78392790948], [2732/9009, true, 7344+144*x^2+864*x*y+144*y^2-2880*x-2880*y, -26271567520*y-29863525120*x+71589416*y^2+136897736*x^2+812150896*x*y+777774608376], [2734/9009, true, 58752-1152*x^2+6912*x*y-1152*y^2-16128*x-16128*y, -122927412608*y-182545371008*x-2010453952*y^2-1236194752*x^2+7213827712*x*y+6326568236352], [2735/9009, true, 94500-4500*x^2+13500*x*y-4500*y^2-18000*x-18000*y, -71998366000*y-207469966000*x-6612326500*y^2-5072876500*x^2+14860979500*x*y+9727705711500], [2740/9009, true, 576+48*x^2+72*x*y+48*y^2-336*x-336*y, -2906732576*y-2756886176*x+39027488*y^2+35621888*x^2+54069232*x*y+55161068736], [2741/9009, true, 6864+374*x^2+616*x*y+176*y^2-3410*x-2420*y, -20886204240*y-31313470320*x+144094032*y^2+333680688*x^2+471310272*x*y+663773570208], [914/3003, true, 32400+972*x^2+2628*x*y+108*y^2-13716*x-8532*y, -68817525348*y-134246710884*x-45699628*y^2+945651668*x^2+2176778812*x*y+3191102663320], [211/693, true, 90000+1200*x^2+7200*x*y-900*y^2-33600*x-18900*y, -134662655204*y-344182642496*x-1463979604*y^2+1257059192*x^2+6425690512*x*y+8985117435120], [392/1287, true, 181248-256*x^2+15424*x*y-4096*y^2-59648*x-28928*y, -146535266592*y-631108681632*x-5704418304*y^2-197902224*x^2+14739183576*x*y+18020082180672], [305/1001, true, 286416-5382*x^2+28392*x*y-11232*y^2-79326*x-26676*y, 60233957784*y-848781349416*x-15076653592*y^2-5894680792*x^2+28936459552*x*y+27296568675376], [250/819, true, 9000+600*x^2+720*x*y+600*y^2-4800*x-4800*y, -43511459200*y-39246935200*x+518923400*y^2+441386600*x^2+544388080*x*y+903086115000], [131/429, true, 37260+1944*x^2+2196*x*y+864*y^2-18252*x-11772*y, -102148769712*y-159341180592*x+787296704*y^2+1653848384*x^2+1520823856*x*y+3554709724720], [2752/9009, true, 113880+3848*x^2+6448*x*y+104*y^2-49504*x-23296*y, -174416191488*y-458231824512*x-128299248*y^2+3557618064*x^2+4786889184*x*y+10702353538800], [2753/9009, true, 260100+5100*x^2+15300*x*y-3060*y^2-102000*x-36720*y, -199159510000*y-986629270000*x-3969917500*y^2+4978602500*x^2+12466187500*x*y+24343253212500], [920/3003, true, 52488+2916*x^2+2916*x*y+2916*y^2-26244*x-26244*y, -245565484164*y-210888762084*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+5423210065728], [251/819, true, 140940+6642*x^2+5832*x*y+3078*y^2-66906*x-41958*y, -371278454624*y-560663260388*x+2954083064*y^2+5413625996*x^2+3735430096*x*y+13396580735400], [2762/9009, true, 331776+11232*x^2+13608*x*y+432*y^2-144288*x-57888*y, -418889450848*y-1270665175648*x+200398352*y^2+9879667952*x^2+9119418088*x*y+30092881221216], [307/1001, true, 656100+14580*x^2+29160*x*y-7290*y^2-262440*x-65610*y, -232649280864*y-2407025252016*x-8547775776*y^2+13415617872*x^2+21795537024*x*y+57917120424480], [2770/9009, true, 197568+9408*x^2+8064*x*y+9408*y^2-94080*x-94080*y, -900823172480*y-736683516800*x+8684541248*y^2+6552857408*x^2+6028921984*x*y+20817079906368], [2771/9009, true, 419748+17708*x^2+12844*x*y+8588*y^2-193040*x-120080*y, -1083419670960*y-1555337179440*x+8475491916*y^2+13838190876*x^2+7672190508*x*y+39763222180956], [4/13, true, 834624+27072*x^2+25728*x*y+1728*y^2-359424*x-131328*y, -941610469536*y-3019483941408*x+1715284616*y^2+22703905544*x^2+15591864496*x*y+73383936049048], [2780/9009, true, 576000+24000*x^2+18000*x*y+24000*y^2-264000*x-264000*y, -2572508884000*y-2002308484000*x+22569404000*y^2+16089854000*x^2+13327303000*x*y+61525462416000], [309/1001, true, 1057536-293760*y-472770*x+20196*y^2+40086*x^2+24888*x*y, -2695392663480*y-3658466295000*x+20266486808*y^2+29994503288*x^2+13919403424*x*y+99684365221168], [310/1001, true, 1417176+52488*x^2+34992*x*y+52488*y^2-629856*x-629856*y, -6222740664096*y-4605128738496*x+50030272728*y^2+33690758328*x^2+25651387152*x*y+152858519014536], [133/429, true, 120*y+30*x-60*y^2-30*x^2+40*x*y, 1756793082*y+803021538*x-77154646*y^2-48252478*x^2+47836984*x*y-3204967580], [254/819, true, -108+216*y+216*x-108*y^2-108*x^2+108*x*y, 3249491256*y+3249491256*x-147704148*y^2-147704148*x^2+147704148*x*y-22303326348], [215/693, true, 28+630*y+210*x-322*y^2-238*x^2+392*x*y, 11014073840*y+4178481230*x-442229116*y^2-317945614*x^2+483946456*x*y-39928411236], [932/3003, true, 1008+2256*y-624*x-864*y^2-384*x^2+976*x*y, 40692561756*y-649600644*x-1186896424*y^2-560500024*x^2+1140684916*x*y-83070156092], [2798/9009, true, 10300-460*x^2+3380*x*y-3820*y^2-9840*x+17040*y, 319371788912*y-47448992272*x-5534233276*y^2-1365815308*x^2+3810016804*x*y-1037932499340], [311/1001, true, 22572-198*x^2+5368*x*y-6798*y^2-22374*x+37026*y, 718566318756*y-91570307994*x-10277411008*y^2-2094212758*x^2+6038330728*x*y-3178586604188], [934/3003, true, 40+8*x^2+16*x*y-4*y^2-48*x-12*y, -53837784*y-557013996*x-5934168*y^2+9313596*x^2+15131232*x*y+4467567960], [2804/9009, true, -240-72*x^2+48*x*y-36*y^2+240*x+60*y, 876756980*y+3431606420*x-55319548*y^2-101771356*x^2+78757024*x*y-38384332560], [85/273, true, -1280-256*x^2+256*x*y-256*y^2+768*x+768*y, 11553746688*y+11553746688*x-350113536*y^2-350113536*x^2+350113536*x*y-225823230720], [2806/9009, true, -4680+3780*y+1680*x-900*y^2-600*x^2+720*x*y, 57263520160*y+32713094260*x-1207562800*y^2-888726100*x^2+927761440*x*y-960190413960], [401/1287, true, -13440+12288*y+3072*x-2304*y^2-1152*x^2+1536*x*y, 189588033536*y+86659764224*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-3177691315200], [24/77, true, -32480+31500*y+5040*x-4900*y^2-1960*x^2+2800*x*y, 498502471500*y+214653928500*x-6792808500*y^2-3925651500*x^2+3514860000*x*y-8741885310000], [2809/9009, true, -69120-3072*x^2+4608*x*y-9216*y^2+7680*x+69120*y, 1126353141760*y+493247856640*x-13152944128*y^2-7397441536*x^2+5826740224*x*y-20967038976000], [937/3003, true, -28-2*x^2-8*x*y-2*y^2+18*x+18*y, 104225088*y+114189438*x-859612*y^2-1161562*x^2-4597448*x*y-1840277768], [2812/9009, true, 44+4*x^2+4*x*y+4*y^2-24*x-24*y, -268988456*y-231004136*x+4308116*y^2+3444836*x^2+3610516*x*y+5115021636], [2813/9009, true, 300-10*x^2+40*x*y+20*y^2-50*x-200*y, -2189344410*y-441362790*x+14788386*y^2-16993098*x^2+50035752*x*y+35541919260], [134/429, true, 560-128*x^2+208*x*y-32*y^2+144*x-432*y, -3989458308*y+1716230076*x-72785848*y^2-159235672*x^2+266464372*x*y+59052263860], [2815/9009, true, -1540-506*x^2+616*x*y-374*y^2+1386*x+462*y, 10316753524*y+18343596502*x-539401288*y^2-643646002*x^2+810834952*x*y-297865542600], [256/819, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [313/1001, true, -43996+20196*y+15606*x-3536*y^2-3026*x^2+2584*x*y, 293814160794*y+264245042754*x-4819024714*y^2-4520346754*x^2+3702409816*x*y-8056669917044], [2818/9009, true, -116200+53400*y+36600*x-7520*y^2-5840*x^2+4360*x*y, 779649437380*y+690961451620*x-10380989344*y^2-9574734928*x^2+6586534372*x*y-22529606303820], [940/3003, true, -144-24*x^2-32*x*y-24*y^2+120*x+120*y, 1114938660*y+1031009430*x-21145072*y^2-18601762*x^2-25281896*x*y-14817080372], [2822/9009, true, 304+8*x^2+32*x*y+8*y^2-120*x-120*y, -1107747520*y-1213652770*x+5481788*y^2+7407338*x^2+29318152*x*y+32163864384], [2824/9009, true, 5616-216*x^2+864*x*y-216*y^2-1512*x-1512*y, -9751200228*y-17364519018*x-336372264*y^2-237497994*x^2+926022456*x*y+576961127604], [314/1001, true, -18000-3000*x^2+4000*x*y-3000*y^2+9000*x+9000*y, 155564343000*y+129040386750*x-4091633500*y^2-3823714750*x^2+5040553000*x*y-3687855371000], [257/819, true, -89856+34560*y+34560*x-6912*y^2-6912*x^2+6912*x*y, 519918600960*y+519918600960*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-16004039844096], [2830/9009, true, -252-12*x^2-36*x*y-12*y^2+120*x+120*y, 1239286840*y+1313861560*x-10307524*y^2-12002404*x^2-35716172*x*y-29024320524], [2831/9009, true, 348+18*x^2+24*x*y+18*y^2-150*x-150*y, -1331647900*y-1231405450*x+15153008*y^2+13330418*x^2+18117544*x*y+33173104188], [944/3003, true, 3184+128*x^2+208*x*y+32*y^2-1392*x-816*y, -6704778564*y-12864140388*x+23564088*y^2+116887752*x^2+156046932*x*y+307983192516], [2833/9009, true, 12168+234*x^2+936*x*y-156*y^2-4914*x-2184*y, -13747162814*y-48885145694*x-220165366*y^2+236172074*x^2+797399896*x*y+1178019289668], [218/693, true, 25740-108*x^2+2628*x*y-972*y^2-9648*x-2736*y, 1108907888*y-99881571856*x-1264128844*y^2-116509756*x^2+2503055236*x*y+2354213173620], [45/143, true, 30268-1702*x^2+5704*x*y-3082*y^2-10350*x+2070*y, 99787046040*y-102109161330*x-4007612484*y^2-1968256854*x^2+5999325048*x*y+1841645169396], [2836/9009, true, -6552-5712*x^2+10584*x*y-7392*y^2+4200*x+21000*y, 400229054500*y+99746472100*x-9740156512*y^2-7008496672*x^2+12203421124*x*y-5347396187772], [2840/9009, true, 1248-620*y-440*x+68*y^2+32*x^2+112*x*y, -4485585060*y-3060929520*x+41821164*y^2+15918336*x^2+79469856*x*y+100511825184], [947/3003, true, 5888+256*x^2+256*x*y+256*y^2-2304*x-2304*y, -21558561024*y-18514239744*x+230187776*y^2+184061696*x^2+192914176*x*y+578939216128], [2843/9009, true, 48000+1280*x^2+2560*x*y-640*y^2-20480*x-5120*y, -18155225088*y-187836751872*x-750422016*y^2+1177777152*x^2+1913462784*x*y+4242508600320], [316/1001, true, 87152+832*x^2+6448*x*y-3068*y^2-36504*x-1404*y, 86282994996*y-346917195504*x-3658989388*y^2+716770112*x^2+5574887968*x*y+7002321765232], [2845/9009, true, 109568-2048*x^2+13312*x*y-8192*y^2-46080*x+15360*y, 397383162880*y-427931018240*x-10077638656*y^2-2574782464*x^2+12930128896*x*y+6034438831104], [950/3003, true, 16560+384*x^2+976*x*y+864*y^2-5232*x-8112*y, -74554101732*y-41783169252*x+690788264*y^2+194258984*x^2+877638676*x*y+1689310412020], [2851/9009, true, 36180+1350*x^2+1080*x*y+1350*y^2-13230*x-13230*y, -127864238040*y-102023411490*x+1258764300*y^2+923169150*x^2+803620440*x*y+3600548612640], [2852/9009, true, 78100+2948*x^2+2156*x*y+836*y^2-32208*x-15312*y, -128527090384*y-259228708816*x+858195212*y^2+2343440876*x^2+1204679812*x*y+7023257576580], [317/1001, true, 151380+4350*x^2+5800*x*y-1740*y^2-65250*x-10440*y, -3711128850*y-554648415750*x-1869368350*y^2+3695654750*x^2+3813709000*x*y+12288913368700], [20/63, true, 83520+1824*x^2+3456*x*y+3936*y^2-24864*x-39648*y, -385603016876*y-191702056238*x+3367791392*y^2+849597098*x^2+3280079992*x*y+8979658351020], [2861/9009, true, 141312+4608*x^2+3072*x*y+4608*y^2-49152*x-49152*y, -485603295232*y-359369900032*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+14097168310272], [318/1001, true, 244864+8384*x^2+4864*x*y+2624*y^2-97344*x-45504*y, -390979795536*y-732513897126*x+2766663756*y^2+6216503166*x^2+2365254216*x*y+21334472995176], [409/1287, true, 403200-19200*y-172800*x-3840*y^2+11520*x^2+11520*x*y, 63562766080*y-1361820289280*x-3897681664*y^2+9060346112*x^2+6639676672*x*y+30056189725440], [410/1287, true, 287196+5876*x^2+8788*x*y+12116*y^2-82160*x-132080*y, -1323523927440*y-597564498960*x+10744204068*y^2+2494665108*x^2+8591681124*x*y+31675276807668], [29/91, true, 423500+12250*x^2+7000*x*y+12250*y^2-141750*x-141750*y, -1422912100500*y-973474994250*x+11841251000*y^2+7301482250*x^2+5063197000*x*y+42111588938500], [2872/9009, true, 640904+19888*x^2+9592*x*y+6688*y^2-246840*x-114840*y, -1006325737340*y-1729024945340*x+7121304608*y^2+13691297408*x^2+4054222372*x*y+53986740992004], [320/1001, true, 787968+15048*x^2+18544*x*y+29868*y^2-218880*x-352260*y, -3599211605220*y-1485455881140*x+27088102076*y^2+5737034156*x^2+18535141408*x*y+88224859851856], [2881/9009, true, 1064448+27648*x^2+13824*x*y+27648*y^2-345600*x-345600*y, -3511218585600*y-2210523955200*x+26969407488*y^2+15144910848*x^2+9901522944*x*y+105117183295488], [961/3003, true, -60*x^2+40*x*y-30*y^2+120*x+30*y, -386391680+431799456*y+1690053024*x-45407776*y^2-83536672*x^2+64645888*x*y], [412/1287, true, 160-64*x^2+104*x*y-16*y^2+48*x-144*y, -1351930448*y+581588656*x-36998032*y^2-80941648*x^2+135447448*x*y+19424865600], [2885/9009, true, 756-54*x^2+216*x*y-54*y^2-270*x-270*y, -1931937480*y-3440311380*x-93300336*y^2-65875356*x^2+256852944*x*y+89119328544], [74/231, true, 1656-12*x^2+292*x*y-108*y^2-804*x-228*y, 126619548*y-11404878276*x-192457732*y^2-17738068*x^2+381078508*x*y+213680343184], [2887/9009, true, 2056+32*x^2+248*x*y-118*y^2-1092*x-42*y, 6042626128*y-24295527872*x-329462608*y^2+64539392*x^2+501973888*x*y+401037786816], [321/1001, true, -8100-234*x^2-536*x*y+354*y^2+4518*x-774*y, 41760220392*y-79530144804*x-844519792*y^2+380635412*x^2+845398768*x*y+1116742269280], [263/819, true, -12-4*x^2+4*x*y-4*y^2+8*x+8*y, 120351528*y+120351528*x-5470524*y^2-5470524*x^2+5470524*x*y-2040505452], [965/3003, true, 140+36*y-108*x-32*y^2-8*x^2+52*x*y, 1121257104*y-1207450992*x-47391808*y^2-12108352*x^2+60806128*x*y+7529054320], [2896/9009, true, 504+8*x^2+112*x*y-88*y^2-448*x+224*y, 5929707168*y-5160377376*x-145731096*y^2-1704024*x^2+137443824*x*y+14258309688], [2897/9009, true, 1268+52*x^2+196*x*y-188*y^2-1200*x+720*y, 21020022320*y-14462464720*x-371243308*y^2+31966772*x^2+264758836*x*y-25555211172], [46/143, true, 2648+136*x^2+304*x*y-344*y^2-2592*x+1728*y, 59658749568*y-32228583552*x-832679824*y^2+95475056*x^2+460132384*x*y-261282684272], [223/693, true, 4908+272*x^2+436*x*y-568*y^2-4900*x+3500*y, 145997181000*y-60238668600*x-1697597136*y^2+177274224*x^2+740700072*x*y-1068942322584], [967/3003, true, -20+2*x^2-8*x*y-4*y^2+6*x+24*y, 121489632*y+24491808*x-1367712*y^2+1571616*x^2-4627584*x*y-1146052800], [88/273, true, -32+12*y+12*x-4*y^2-4*x^2+4*x*y, 180527292*y+180527292*x-5470524*y^2-5470524*x^2+5470524*x*y-5350172472], [415/1287, true, -300-18*x^2+24*x*y-36*y^2+42*x+168*y, 2592023896*y+1184801464*x-48786952*y^2-30511336*x^2+30248608*x*y-61376699760], [2906/9009, true, -1440-48*x^2+72*x*y-144*y^2+96*x+864*y, 14079414272*y+6165598208*x-205514752*y^2-115585024*x^2+91042816*x*y-353312194560], [323/1001, true, -4760-100*x^2+160*x*y-400*y^2+180*x+2880*y, 50010707340*y+24613732440*x-610256700*y^2-353721600*x^2+210196080*x*y-1378277878680], [2908/9009, true, -12480-180*x^2+300*x*y-900*y^2+300*x+7500*y, 138987161500*y+78790409500*x-1473403900*y^2-926160700*x^2+419768500*x*y-4213011636600], [2909/9009, true, -27972-294*x^2+504*x*y-1764*y^2+462*x+16632*y, 328533734672*y+213322239152*x-3098745904*y^2-2146584784*x^2+767182144*x*y-10896254208672], [970/3003, true, -144-48*x^2-32*x*y-48*y^2+192*x+192*y, 1679047392*y+1242576192*x-40498168*y^2-27271768*x^2-20764112*x*y-13748320424], [2911/9009, true, -44-4*x^2-4*x*y-4*y^2+24*x+24*y, 219632776*y+188618056*x-3517636*y^2-2812756*x^2-2948036*x*y-4176485556], [265/819, true, -1404+432*y+432*x-108*y^2-108*x^2+108*x*y, 6498982512*y+6498982512*x-147704148*y^2-147704148*x^2+147704148*x*y-236769749244], [324/1001, true, -8064-384*x^2+256*x*y-384*y^2+2304*x+2304*y, 33160381056*y+39006481536*x-541201216*y^2-600252736*x^2+412495744*x*y-1413538796096], [2917/9009, true, -27500-1000*x^2+500*x*y-1000*y^2+7500*x+7500*y, 109450165000*y+142664665000*x-1469002000*y^2-1770952000*x^2+948001000*x*y-5189794905000], [2918/9009, true, -72144-2160*x^2+864*x*y-2160*y^2+19008*x+19008*y, 285274962720*y+404039560320*x-3318845400*y^2-4300371000*x^2+1922402160*x*y-14746228941960], [2920/9009, true, 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[2936/9009, true, -60984+23232*y+11616*x-4488*y^2-3432*x^2+4752*x*y, 358756342208*y+195008099264*x-5845704232*y^2-4492412968*x^2+5761551568*x*y-11564612961816], [140/429, true, 3600+12*x^2+292*x*y+108*y^2-948*x-1524*y, -12093633156*y-7810978692*x+61995092*y^2-2893612*x^2+242483548*x*y+323693844760], [2942/9009, true, 14688+432*x^2+216*x*y+432*y^2-4320*x-4320*y, -43890232320*y-27631549440*x+421396992*y^2+236639232*x^2+154711296*x*y+1369452883968], [327/1001, true, 20808+816*x^2+544*x*y-204*y^2-9792*x-612*y, 7421041188*y-65698677792*x-192760564*y^2+545822456*x^2+235601104*x*y+1284774446248], [2944/9009, true, 19888+572*x^2+2156*x*y-2068*y^2-16500*x+9900*y, 162150310300*y-111564731300*x-2291042956*y^2+197275604*x^2+1633898452*x*y-658505358504], [2950/9009, true, 35040+32*x^2+1984*x*y+1184*y^2-7168*x-15232*y, -144600138144*y-62442981216*x+874588968*y^2-192387096*x^2+2006669808*x*y+3728045443320], [227/693, true, 49700+532*x^2+1372*x*y+1876*y^2-9744*x-20496*y, -210943110928*y-64711550992*x+1643476028*y^2-18246244*x^2+1507209556*x*y+5284594699860], [328/1001, true, 61760+1600*x^2+640*x*y+1600*y^2-17280*x-17280*y, -178557413760*y-93374962560*x+1575435200*y^2+715006400*x^2+456350080*x*y+5534103689920], [2953/9009, true, 70980+2600*x^2+1300*x*y-520*y^2-32500*x-1300*y, 29871369000*y-181156635000*x-474152400*y^2+1444284000*x^2+405189000*x*y+3507112344600], [422/1287, true, 57728+33792*y-50688*x-5504*y^2+2176*x^2+4864*x*y, 522996638912*y-282530911168*x-5972451304*y^2+684801176*x^2+3300330064*x*y-4278724672152], [2960/9009, true, 147456+192*x^2+6048*x*y+4992*y^2-25728*x-64128*y, -642010566208*y-202437894208*x+4000232192*y^2-994911808*x^2+6590684848*x*y+16431662497536], [47/143, true, 175996+1886*x^2+3496*x*y+6026*y^2-32706*x-69966*y, -737100941544*y-179289839124*x+5426326944*y^2-208128636*x^2+4038274224*x*y+18716690909664], [2962/9009, true, 195000+4500*x^2+1500*x*y+4500*y^2-52500*x-52500*y, -548611002500*y-229534002500*x+4442319500*y^2+1541619500*x^2+1090106500*x*y+16668063870000], [2963/9009, true, 197136+6660*x^2+2664*x*y-1110*y^2-87912*x-2442*y, 87739752320*y-391399338880*x-1006038400*y^2+2953788800*x^2+561832960*x*y+7328717821440], [30/91, true, 452088+936*x^2+13936*x*y+14664*y^2-71136*x-194688*y, -2008416858624*y-478906357248*x+12275545712*y^2-3174055312*x^2+16022986528*x*y+51626259529744], [2971/9009, true, 495244+5168*x^2+7412*x*y+15368*y^2-88740*x-190740*y, -2040204408440*y-383413272440*x+14063703728*y^2-998033872*x^2+8967218152*x*y+52307985967464], [2972/9009, true, 509544+10584*x^2+3024*x*y+10584*y^2-133056*x-133056*y, -1401385556736*y-441488162016*x+10434480264*y^2+2501443944*x^2+2294437104*x*y+41301688196664], [2974/9009, true, 540-36*x^2+108*x*y+108*y^2-72*x-648*y, -7046244920*y+340517320*x+87047420*y^2-80833540*x^2+146189020*x*y+65108193300], [425/1287, true, 1404-36*x^2+216*x*y+54*y^2-360*x-810*y, -7894480660*y-3758082460*x+26378204*y^2-48829036*x^2+234315616*x*y+158313117744], [229/693, true, -10800-144*x^2-864*x*y+108*y^2+4032*x+2268*y, 12791319310*y+32693177440*x+139060310*y^2-119405380*x^2-610362680*x*y-853477201800], [2978/9009, true, -45900-900*x^2-2700*x*y+540*y^2+18000*x+6480*y, 27703979600*y+137244549200*x+552233300*y^2-692545900*x^2-1734102500*x*y-3386255521500], [331/1001, true, -131220-2916*x^2-5832*x*y+1458*y^2+52488*x+13122*y, 35464829400*y+366924581100*x+1303014600*y^2-2045063700*x^2-3322490400*x*y-8828829333000], [142/429, true, -36*x^2+48*x*y-72*y^2+36*x+144*y, 1981462890*y+905717010*x-87021670*y^2-54423310*x^2+53954680*x*y-3614839100], [2984/9009, true, 120-4*x^2+16*x*y+8*y^2-20*x-80*y, -822586050*y-165829950*x+5556330*y^2-6384690*x^2+18799560*x*y+13353900300], [2986/9009, true, -1872-36*x^2-144*x*y+24*y^2+756*x+336*y, 1682232706*y+5982048226*x+26941514*y^2-28900246*x^2-97577384*x*y-144153568572], [2987/9009, true, -9600-256*x^2-512*x*y+128*y^2+4096*x+1024*y, 2767564800*y+28633651200*x+114393600*y^2-179539200*x^2-291686400*x*y-646723872000], [332/1001, true, -31320-900*x^2-1200*x*y+360*y^2+13500*x+2160*y, 547245270*y+81788785650*x+275658170*y^2-544963450*x^2-562371800*x*y-1812130482740], [427/1287, true, -80640-2304*x^2-2304*x*y+768*y^2+34560*x+3840*y, -8380486400*y+179550342400*x+513893120*y^2-1194568960*x^2-875413760*x*y-3962783635200], [997/3003, true, -36*x^2+24*x*y-18*y^2+72*x+18*y, -263121200+294042540*y+1150875660*x-30921340*y^2-56885980*x^2+44021920*x*y], [272/819, true, -12-4*x^2+4*x*y-4*y^2+8*x+8*y, 120351528*y+120351528*x-5470524*y^2-5470524*x^2+5470524*x*y-2040505452], [2995/9009, true, -120-4*x^2-8*x*y+2*y^2+56*x+14*y, 37837800*y+391475700*x+1787400*y^2-2805300*x^2-4557600*x*y-8092008000], [428/1287, true, -900-36*x^2-36*x*y+12*y^2+432*x+48*y, -104756080*y+2244379280*x+8029580*y^2-18665140*x^2-13678340*x*y-44163947100], [333/1001, true, -3672-144*x^2-96*x*y+36*y^2+1728*x+108*y, -719161542*y+6366756528*x+18680126*y^2-52894804*x^2-22831736*x*y-124505490332], [2998/9009, true, -10920-400*x^2-200*x*y+80*y^2+5000*x+200*y, -2014580700*y+12217540500*x+31977720*y^2-97405200*x^2-27326700*x*y-236526181380], [2999/9009, true, -26640-900*x^2-360*x*y+150*y^2+11880*x+330*y, -3886298812*y+17336438108*x+44560940*y^2-130833580*x^2-24885536*x*y-324614403504], [430/1287, true, -180-36*x^2-36*x*y+12*y^2+216*x+24*y, -52378040*y+1122189640*x+8029580*y^2-18665140*x^2-13678340*x*y-8860164300], [3011/9009, true, -60-4*x^2-8*x*y+2*y^2+40*x+10*y, 27027000*y+279625500*x+1787400*y^2-2805300*x^2-4557600*x*y-4044195000], [274/819, true, -60+16*y+16*x-4*y^2-4*x^2+4*x*y, 240703056*y+240703056*x-5470524*y^2-5470524*x^2+5470524*x*y-9983706300], [335/1001, true, -540-36*x^2+24*x*y-18*y^2+216*x+54*y, 882127620*y+3452626980*x-30921340*y^2-56885980*x^2+44021920*x*y-95627722400], [232/693, true, -2520-144*x^2+72*x*y-48*y^2+1080*x+120*y, 1859944900*y+20180370100*x-101808760*y^2-268358080*x^2+169800340*x*y-509773445700], [431/1287, true, -8160-400*x^2+160*x*y-100*y^2+3520*x+220*y, 2659449078*y+76657097088*x-258958890*y^2-870509700*x^2+473959944*x*y-1904546989584], [1006/3003, true, -21060-900*x^2+300*x*y-180*y^2+9000*x+360*y, 2049219480*y+226291157400*x-563924740*y^2-2262727300*x^2+1096800700*x*y-5651885012780], [3020/9009, true, -936-36*x^2-144*x*y+24*y^2+540*x+240*y, 1201594790*y+4272891590*x+26941514*y^2-28900246*x^2-97577384*x*y-71890348356], [3022/9009, true, 240-4*x^2+16*x*y+8*y^2-28*x-112*y, -1151620470*y-232161930*x+5556330*y^2-6384690*x^2+18799560*x*y+26400991500], [48/143, true, -1080-36*x^2+48*x*y-72*y^2+108*x+432*y, 5944388670*y+2717151030*x-87021670*y^2-54423310*x^2+53954680*x*y-194168712500], [275/819, true, -5376+1280*y+1280*x-256*y^2-256*x^2+256*x*y, 19256244480*y+19256244480*x-350113536*y^2-350113536*x^2+350113536*x*y-903643036416], [3026/9009, true, -18720-900*x^2+720*x*y-600*y^2+5940*x+2640*y, 42044373602*y+89031783302*x-922270630*y^2-1310596330*x^2+1149592936*x*y-3180360840996], [1009/3003, true, -51840-2304*x^2+1536*x*y-1152*y^2+18432*x+4608*y, 75274890240*y+294624168960*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-9222360742400], [433/1287, true, 2808-36*x^2+216*x*y+54*y^2-504*x-1134*y, -11052272924*y-5261315444*x+26378204*y^2-48829036*x^2+234315616*x*y+312126950928], [3032/9009, true, 2700-36*x^2+108*x*y+108*y^2-144*x-1296*y, -14092489840*y+681034640*x+87047420*y^2-80833540*x^2+146189020*x*y+286397204100], [3034/9009, true, -7560-144*x^2+216*x*y-432*y^2+360*x+3240*y, 42966962500*y+18815912500*x-501745000*y^2-282190000*x^2+222272500*x*y-1474229062500], [3035/9009, true, -28080-900*x^2+1080*x*y-1350*y^2+3960*x+8910*y, 126765644192*y+72417770612*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-4937953988496], [92/273, true, -78732+17496*y+17496*x-2916*y^2-2916*x^2+2916*x*y, 263208791736*y+263208791736*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-13387756270572], [3040/9009, true, 14400-144*x^2+1152*x*y+192*y^2-3024*x-5376*y, -51369170930*y-32671428020*x+55623110*y^2-187204720*x^2+1223017960*x*y+1613229422400], [3041/9009, true, 19200-256*x^2+1024*x*y+512*y^2-2048*x-8192*y, -84232811520*y-16980986880*x+355605120*y^2-408620160*x^2+1203171840*x*y+2166077721600], [26/77, true, 14688-144*x^2+384*x*y+576*y^2-432*x-6912*y, -77193584622*y+15125803308*x+485077046*y^2-447442024*x^2+589312264*x*y+1460654735668], [3044/9009, true, -32640-400*x^2+640*x*y-1600*y^2+880*x+14080*y, 183106836198*y+90119554668*x-1828116810*y^2-1059626880*x^2+629674344*x*y-6861105032184], [145/429, true, -103680-2304*x^2+3072*x*y-4608*y^2+9216*x+36864*y, 507254499840*y+231863554560*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-19218570656000], [3050/9009, true, 76500-900*x^2+4500*x*y+1500*y^2-10800*x-30000*y, -298399042480*y-107460134320*x+884382260*y^2-1285378060*x^2+5013031900*x*y+8721734768100], [339/1001, true, 78300-900*x^2+3000*x*y+2250*y^2-5400*x-33750*y, -358958611440*y-19042735140*x+1728484160*y^2-1705009540*x^2+3794720800*x*y+8871081873160], [436/1287, true, 54600-400*x^2+1000*x*y+2000*y^2-1000*x-25000*y, -283487895900*y+89174279700*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+5012785285020], [1018/3003, true, -105300-900*x^2+1500*x*y-4500*y^2+1800*x+45000*y, 578311524120*y+327838926360*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-23745279863180], [340/1001, true, 262440-2916*x^2+11664*x*y+5832*y^2-26244*x-104976*y, -1079397414810*y-217602060390*x+4050564570*y^2-4654439010*x^2+13704879240*x*y+30546962959500], [3061/9009, true, 241920-2304*x^2+6912*x*y+6912*y^2-11520*x-103680*y, -1127399187200*y+54482771200*x+5571034880*y^2-5173346560*x^2+9356097280*x*y+27289570003200], [3062/9009, true, 159840-900*x^2+2160*x*y+5400*y^2-1980*x-71280*y, -816126020182*y+344228134778*x+4653835610*y^2-4935868150*x^2+4182015064*x*y+13383809404596], [3064/9009, true, 1728+432*x^2+216*x*y+432*y^2-2160*x-2160*y, -21945116160*y-13815774720*x+421396992*y^2+236639232*x^2+154711296*x*y+189343484928], [146/429, true, 3600+12*x^2+292*x*y+108*y^2-948*x-1524*y, -12093633156*y-7810978692*x+61995092*y^2-2893612*x^2+242483548*x*y+323693844760], [3067/9009, true, -13392-108*x^2-864*x*y-108*y^2+3780*x+3780*y, 35364912660*y+41033223000*x-33857676*y^2-107472096*x^2-850853808*x*y-1474154884944], [236/693, true, -78080-1024*x^2-3856*x*y-64*y^2+23616*x+15936*y, 124290785696*y+227714770976*x+192559136*y^2-982713424*x^2-3209908856*x*y-7520535496320], [31/91, true, -249912-3978*x^2-9464*x*y+312*y^2+78390*x+39780*y, 273699787680*y+698404560480*x+738659552*y^2-3551287648*x^2-7006607744*x*y-22241326793792], [439/1287, true, 900+180*x^2+180*x*y-60*y^2-1080*x-120*y, 397267288*y-8511376808*x-60901276*y^2+141567908*x^2+103744948*x*y+67200938460], [3074/9009, true, 984+72*x^2+48*x*y+72*y^2-480*x-480*y, -4742219680*y-3509471680*x+68628632*y^2+46215032*x^2+35187088*x*y+95912935944], [1025/3003, true, 796+8*x^2+52*x*y+32*y^2-204*x-348*y, -3033776592*y-1675807056*x+22776768*y^2+2201472*x^2+46379088*x*y+75877182864], [3076/9009, true, -2376-24*x^2-144*x*y-24*y^2+672*x+672*y, 6494295808*y+7382222848*x-12640576*y^2-24172096*x^2-143401856*x*y-268167766464], [3077/9009, true, -19452-324*x^2-876*x*y-36*y^2+6096*x+3792*y, 29602333904*y+57747150032*x+14743508*y^2-305083948*x^2-702267332*x*y-1870244923404], [342/1001, true, -75800-1480*x^2-2480*x*y-40*y^2+24480*x+11520*y, 79935787008*y+210009868992*x+45733464*y^2-1268146152*x^2-1706331312*x*y-6649977965400], [3079/9009, true, -217476-4368*x^2-5292*x*y-168*y^2+70140*x+28140*y, 181366117240*y+550158541240*x-69413008*y^2-3422071408*x^2-3158739752*x*y-17665520180616], [3082/9009, true, 320+96*y-288*x-128*y^2-32*x^2+208*x*y, 2483644768*y-2674568864*x-157463104*y^2-40230976*x^2+202033264*x*y+22390683840], [3083/9009, true, 300+20*x^2+40*x*y-10*y^2-200*x-50*y, -177297120*y-1834343280*x-11725344*y^2+18402768*x^2+29897856*x*y+26529919200], [1028/3003, true, 104+4*x^2+4*x*y+4*y^2-36*x-36*y, -336852516*y-289284996*x+3596684*y^2+2875964*x^2+3014284*x*y+10009933024], [3085/9009, true, -148-2*x^2-8*x*y-2*y^2+42*x+42*y, 422595712*y+462997612*x-1493752*y^2-2018452*x^2-7989008*x*y-17114326248], [3086/9009, true, -2880-64*x^2-104*x*y-16*y^2+928*x+544*y, 4364265312*y+8373508704*x-11503728*y^2-57063312*x^2-76180392*x*y-272955074400], [3088/9009, true, -59800-1340*x^2-980*x*y-380*y^2+18300*x+8700*y, 63685963660*y+128449419340*x-340192804*y^2-928951492*x^2-477541004*x*y-4686194146560], [3089/9009, true, -163956-3406*x^2-1976*x*y-1066*y^2+48334*x+22594*y, 160369555104*y+300457796364*x-928482696*y^2-2086236756*x^2-793771056*x*y-11768048157096], [281/819, true, -108+216*y+216*x-108*y^2-108*x^2+108*x*y, 3249491256*y+3249491256*x-147704148*y^2-147704148*x^2+147704148*x*y-22303326348], [3095/9009, true, -188-4*x^2-4*x*y-4*y^2+48*x+48*y, 439265552*y+377236112*x-3517636*y^2-2812756*x^2-2948036*x*y-17648763012], [344/1001, true, 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-200+2*x^2-8*x*y-4*y^2+18*x+72*y, 364468896*y+73475424*x-1367712*y^2+1571616*x^2-4627584*x*y-10780827840], [3106/9009, true, -1440+12*x^2-36*x*y-36*y^2+60*x+540*y, 2806555180*y-135629780*x-13868572*y^2+12878564*x^2-23291132*x*y-72071546520], [239/693, true, -5712+36*x^2-96*x*y-144*y^2+132*x+2112*y, 9379132532*y-1837807048*x-48221644*y^2+44480336*x^2-58583696*x*y-220617348192], [148/429, true, -16640+80*x^2-200*x*y-400*y^2+240*x+6000*y, 20555013600*y-6465808800*x-103528800*y^2+101174400*x^2-104382000*x*y-444953476800], [3110/9009, true, 312+8*x^2+112*x*y-88*y^2-320*x+160*y, 4235505120*y-3685983840*x-145731096*y^2-1704024*x^2+137443824*x*y+21511990584], [1037/3003, true, 140+36*y-108*x-32*y^2-8*x^2+52*x*y, 1121257104*y-1207450992*x-47391808*y^2-12108352*x^2+60806128*x*y+7529054320], [283/819, true, -60+16*y+16*x-4*y^2-4*x^2+4*x*y, 240703056*y+240703056*x-5470524*y^2-5470524*x^2+5470524*x*y-9983706300], [445/1287, true, 332-32*x^2+52*x*y-8*y^2+60*x-180*y, -2242688360*y+964784920*x-24550096*y^2-53708944*x^2+89876344*x*y+42408966264], [3116/9009, true, 1080-88*x^2+112*x*y+8*y^2+352*x-704*y, -12600061056*y+8028142848*x-26822448*y^2-197303472*x^2+261910368*x*y+175721298480], [1039/3003, true, 2468-188*x^2+196*x*y+52*y^2+1080*x-1800*y, -42569280600*y+33944572200*x+9107924*y^2-570542476*x^2+626773252*x*y+443642652796], [80/231, true, 1656-12*x^2+292*x*y-108*y^2-804*x-228*y, 126619548*y-11404878276*x-192457732*y^2-17738068*x^2+381078508*x*y+213680343184], [3121/9009, true, 1404-54*x^2+216*x*y-54*y^2-378*x-378*y, -2704712472*y-4816435932*x-93300336*y^2-65875356*x^2+256852944*x*y+160033013496], [446/1287, true, 448-288*y+96*x-16*y^2-64*x^2+104*x*y, -2703860896*y+1163177312*x-36998032*y^2-80941648*x^2+135447448*x*y+44846144736], [347/1001, true, -900-60*x^2+40*x*y-30*y^2+360*x+90*y, 1295398368*y+5070159072*x-45407776*y^2-83536672*x^2+64645888*x*y-140428655360], [284/819, true, -2376+540*y+540*x-108*y^2-108*x^2+108*x*y, 8123728140*y+8123728140*x-147704148*y^2-147704148*x^2+147704148*x*y-397619566416], [3125/9009, true, -4004-322*x^2+392*x*y-238*y^2+1386*x+462*y, 11172240728*y+19864686644*x-371718832*y^2-443557228*x^2+558772528*x*y-763933449096], [1042/3003, true, -6336-864*x^2+976*x*y-384*y^2+4512*x-1248*y, -5781570432*y+67143762048*x-736151296*y^2-1288615936*x^2+1559902144*x*y-1409286458624], [3130/9009, true, 9792-192*x^2+1152*x*y-192*y^2-2688*x-2688*y, -23338101248*y-34656731648*x-381690112*y^2-234694912*x^2+1369564672*x*y+1201116064512], [3131/9009, true, 8580-324*x^2+876*x*y-36*y^2-912*x-3216*y, -31118766448*y-11396052976*x-174611668*y^2-398733412*x^2+1056468028*x*y+1008464914380], [348/1001, true, 3040-352*x^2+448*x*y+32*y^2+1152*x-2304*y, -24706389312*y+15741703296*x-64281384*y^2-472847976*x^2+627681744*x*y+311556796200], [241/693, true, -6300-360*x^2+180*x*y-120*y^2+2700*x+300*y, 3691815160*y+40056130840*x-202080784*y^2-532665472*x^2+337037656*x*y-1011852197880], [3134/9009, true, 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228230508000*y+297490908000*x-2552692000*y^2-3077392000*x^2+1647346000*x*y-14319356408000], [3152/9009, true, 39688-3784*x^2+3344*x*y+1496*y^2+23232*x-34848*y, -401278259008*y+374081377472*x+564864656*y^2-5843066224*x^2+5502969184*x*y+3174265712688], [1051/3003, true, -91260-3900*x^2+1300*x*y-780*y^2+39000*x+1560*y, 5952916200*y+657368481000*x-1638183100*y^2-6573149500*x^2+3186170500*x*y-16418542855700], [3155/9009, true, 13500+1350*x^2+1080*x*y+1350*y^2-9450*x-9450*y, -91331598600*y-72873865350*x+1258764300*y^2+923169150*x^2+803620440*x*y+1433036488500], [1052/3003, true, 16560+384*x^2+976*x*y+864*y^2-5232*x-8112*y, -74554101732*y-41783169252*x+690788264*y^2+194258984*x^2+877638676*x*y+1689310412020], [41/117, true, 4720+38*x^2+248*x*y+104*y^2-1134*x-1596*y, -3686014178*y-2685937562*x+18873662*y^2+5885654*x^2+57993304*x*y+122426160420], [3158/9009, true, -62100-540*x^2-2700*x*y-540*y^2+15120*x+15120*y, 148887169200*y+166670103600*x-343431900*y^2-545510700*x^2-2696935500*x*y-7031344603500], [1055/3003, true, 5888+256*x^2+256*x*y+256*y^2-2304*x-2304*y, -21558561024*y-18514239744*x+230187776*y^2+184061696*x^2+192914176*x*y+578939216128], [3166/9009, true, 2520+32*x^2+112*x*y+68*y^2-616*x-868*y, -6279819084*y-4285301328*x+41821164*y^2+15918336*x^2+79469856*x*y+200125817640], [3167/9009, true, -12544-128*x^2-512*x*y-128*y^2+3072*x+3072*y, 30909857792*y+33864968192*x-95600128*y^2-129180928*x^2-511296512*x*y-1442109790464], [32/91, true, -78400-1040*x^2-2480*x*y-380*y^2+20520*x+14580*y, 125382658896*y+200293348464*x-236922736*y^2-993596368*x^2-2059137536*x*y-7895830711040], [3169/9009, true, -278016-4096*x^2-6656*x*y-1024*y^2+74240*x+43520*y, 349141224960*y+669880696320*x-736238592*y^2-3652051968*x^2-4875545088*x*y-26160458623488], [3173/9009, true, 6084+234*x^2+936*x*y-156*y^2-3510*x-1560*y, -9819402010*y-34917961210*x-220165366*y^2+236172074*x^2+797399896*x*y+587486095164], [1058/3003, 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560-128*x^2+208*x*y-32*y^2+144*x-432*y, -3989458308*y+1716230076*x-72785848*y^2-159235672*x^2+266464372*x*y+59052263860], [3193/9009, true, 600-10*x^2+40*x*y+20*y^2-70*x-280*y, -3065082174*y-617907906*x+14788386*y^2-16993098*x^2+50035752*x*y+70267254300], [3194/9009, true, 188+4*x^2+4*x*y+4*y^2-48*x-48*y, -537976912*y-462008272*x+4308116*y^2+3444836*x^2+3610516*x*y+21614777172], [355/1001, true, -244-2*x^2-8*x*y-2*y^2+54*x+54*y, 312675264*y+342568314*x-859612*y^2-1161562*x^2-4597448*x*y-16255636484], [3196/9009, true, -4536-16*x^2-104*x*y-64*y^2+680*x+1160*y, 9570842820*y+5286772260*x-43113168*y^2-4167072*x^2-87788988*x*y-405118692972], [82/231, true, -89500-380*x^2-980*x*y-1340*y^2+10440*x+21960*y, 183338603976*y+56243246664*x-952271284*y^2+10572332*x^2-873315068*x*y-7454360811980], [3200/9009, true, -600*x^2+720*x*y-900*y^2+1200*x+2700*y, 40902514400*y+23366495900*x-1207562800*y^2-888726100*x^2+927761440*x*y-111839478000], [97/273, true, -1280-256*x^2+256*x*y-256*y^2+768*x+768*y, 11553746688*y+11553746688*x-350113536*y^2-350113536*x^2+350113536*x*y-225823230720], [3202/9009, true, -600-72*x^2+48*x*y-36*y^2+336*x+84*y, 1227459772*y+4804248988*x-55319548*y^2-101771356*x^2+78757024*x*y-95254729440], [356/1001, true, 400+8*x^2+16*x*y-4*y^2-144*x-36*y, -161513352*y-1671041988*x-5934168*y^2+9313596*x^2+15131232*x*y+44783785440], [458/1287, true, -4680+24*x^2-144*x*y-36*y^2+528*x+1188*y, 3971489588*y+1890584828*x-6031876*y^2+11165684*x^2-53580704*x*y-176891079120], [1069/3003, true, -22400+128*x^2-512*x*y-256*y^2+1536*x+6144*y, 31101345792*y+6269902848*x-87533568*y^2+100583424*x^2-296165376*x*y-1218327920640], [1070/3003, true, 1008+2256*y-624*x-864*y^2-384*x^2+976*x*y, 40692561756*y-649600644*x-1186896424*y^2-560500024*x^2+1140684916*x*y-83070156092], [247/693, true, -980+882*y+294*x-322*y^2-238*x^2+392*x*y, 15419703376*y+5849873722*x-442229116*y^2-317945614*x^2+483946456*x*y-240470138160], [292/819, true, -1404+432*y+432*x-108*y^2-108*x^2+108*x*y, 6498982512*y+6498982512*x-147704148*y^2-147704148*x^2+147704148*x*y-236769749244], [51/143, true, -900-30*x^2+40*x*y-60*y^2+90*x+360*y, 5270379246*y+2409064614*x-77154646*y^2-48252478*x^2+47836984*x*y-172152732500], [3214/9009, true, 664-16*x^2+104*x*y-64*y^2-360*x+120*y, 3632029060*y-3911232380*x-92108272*y^2-23533168*x^2+118179652*x*y+19547059812], [3215/9009, true, 3348-54*x^2+216*x*y-54*y^2-594*x-594*y, -5256903564*y-9361268334*x-115397784*y^2-81477414*x^2+317686536*x*y+461062663488], [1072/3003, true, 6300-108*x^2+292*x*y-12*y^2-456*x-1608*y, -28241012184*y-10342186008*x-105642796*y^2-241239964*x^2+639179716*x*y+1317495713380], [460/1287, true, 7968-592*x^2+1984*x*y-1072*y^2-2800*x+560*y, 30285291960*y-30990052170*x-1563823692*y^2-768040002*x^2+2341016424*x*y+709774596108], [358/1001, true, -2656-368*x^2+448*x*y-272*y^2+1296*x+432*y, 9844931844*y+17504678862*x-400347544*y^2-477718726*x^2+601807576*x*y-488496379592], [293/819, true, -5376+1280*y+1280*x-256*y^2-256*x^2+256*x*y, 19256244480*y+19256244480*x-350113536*y^2-350113536*x^2+350113536*x*y-903643036416], [248/693, true, -4576-272*x^2+448*x*y-368*y^2+528*x+1584*y, 28090761776*y+10656976022*x-512672692*y^2-368591818*x^2+561035272*x*y-976234396284], [3230/9009, true, 31500-1500*x^2+4500*x*y-1500*y^2-6000*x-6000*y, -26160178000*y-75382978000*x-2402549500*y^2-1843199500*x^2+5399648500*x*y+3534504004500], [359/1001, true, 14476-1474*x^2+2728*x*y-814*y^2+990*x-4950*y, -33335250300*y+10943823330*x-1386895392*y^2-1834158762*x^2+3447230184*x*y+1464894009468], [3232/9009, true, -5016-1296*x^2+1464*x*y-576*y^2+5640*x-1560*y, -6304165340*y+73212872260*x-963230224*y^2-1686112384*x^2+2041081636*x*y-1034410516524], [3233/9009, true, -24336+3432*y+7722*x-780*y^2-1170*x^2+936*x*y, 51154590410*y+108323278910*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-3869484600180], [14/39, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], 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37260+1944*x^2+2196*x*y+864*y^2-18252*x-11772*y, -102148769712*y-159341180592*x+787296704*y^2+1653848384*x^2+1520823856*x*y+3554709724720], [296/819, true, 20520+600*x^2+720*x*y+600*y^2-6720*x-6720*y, -60916042880*y-54945709280*x+518923400*y^2+441386600*x^2+544388080*x*y+1995496921080], [3257/9009, true, 5940+68*x^2+196*x*y+116*y^2-1328*x-1712*y, -9942785424*y-7485507216*x+58319892*y^2+30396276*x^2+109332612*x*y+379491862860], [362/1001, true, -39960-360*x^2-1200*x*y-360*y^2+8640*x+8640*y, 88399872000*y+94923417600*x-295744000*y^2-361638400*x^2-1194368000*x*y-4617656307200], [1088/3003, true, 32400+972*x^2+2628*x*y+108*y^2-13716*x-8532*y, -68817525348*y-134246710884*x-45699628*y^2+945651668*x^2+2176778812*x*y+3191102663320], [3265/9009, true, 13860+374*x^2+616*x*y+176*y^2-4774*x-3388*y, -29240685936*y-43838858448*x+144094032*y^2+333680688*x^2+471310272*x*y+1352809274400], [3266/9009, true, 2592+48*x^2+72*x*y+48*y^2-672*x-672*y, 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2055826300*y+2179536700*x-6839572*y^2-7964212*x^2-23699516*x*y-117096013872], [3287/9009, true, -22176-112*x^2-392*x*y-238*y^2+3388*x+4774*y, 41152856976*y+28082400192*x-174403152*y^2-66382848*x^2-331406208*x*y-2080801868544], [1096/3003, true, -114912-576*x^2-1464*x*y-1296*y^2+15696*x+24336*y, 216185532816*y+121159218576*x-1001544016*y^2-281647696*x^2-1272450344*x*y-10798540672832], [1097/3003, true, 2268-1404*y+5076*x-864*y^2-1944*x^2+2196*x*y, -5618380944*y+65248575216*x-1430745664*y^2-2504487424*x^2+3031745296*x*y+212678192848], [3292/9009, true, 3528-3136*y+1568*x+56*y^2-616*x^2+784*x*y, -34146560448*y+21756518784*x-114226632*y^2-840240648*x^2+1115376912*x*y+397869178824], [3293/9009, true, 4500-60*x^2+180*x*y+180*y^2-240*x-2160*y, -25270939408*y+1221245168*x+156095204*y^2-144952348*x^2+262149124*x*y+513573291420], [366/1001, true, 3672+72*x^2+48*x*y+72*y^2-864*x-864*y, -9893309184*y-7321526784*x+79541312*y^2+53563712*x^2+40782208*x*y+405729080512], [3295/9009, true, 2268+32*x^2+52*x*y+8*y^2-580*x-340*y, -4047504120*y-7765754040*x+8535024*y^2+42337296*x^2+56520936*x*y+319466310984], [3296/9009, true, -5832-24*x^2-144*x*y-24*y^2+1056*x+1056*y, 4023251936*y+4573327616*x-4983304*y^2-9529384*x^2-56533424*x*y-260458416792], [157/429, true, -44172-36*x^2-876*x*y-324*y^2+5688*x+9144*y, 63989096952*y+41328975864*x-164012332*y^2+7655252*x^2-641507108*x*y-3462976904156], [100/273, true, 8748*y+8748*x-2916*y^2-2916*x^2+2916*x*y, 131604395868*y+131604395868*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-358921079640], [3301/9009, true, -7020-1350*x^2+1080*x*y-900*y^2+5670*x+2520*y, 37729180720*y+79894072720*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-1157715930720], [254/693, true, -4320-432*x^2+216*x*y-144*y^2+2592*x+288*y, 3660933056*y+39721060544*x-250487968*y^2-660262144*x^2+417772912*x*y-717382872960], [472/1287, true, 4320+108*x^2+108*x*y-36*y^2-1620*x-180*y, 703074460*y-15063237860*x-43112668*y^2+100217444*x^2+73442164*x*y+379292041320], [3305/9009, 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712348824*y-64162696488*x-541373908*y^2-49896292*x^2+1071954652*x*y+2171468149180], [3320/9009, true, 9216-3264*x^2+6048*x*y-4224*y^2+1920*x+9600*y, 194389289600*y+48446372480*x-5913432832*y^2-4254990592*x^2+7408927264*x*y-241413821952], [369/1001, true, -13500-2250*x^2+3000*x*y-2250*y^2+6750*x+6750*y, 119996514000*y+99536926500*x-3156133000*y^2-2949470500*x^2+3888094000*x*y-2844673658000], [302/819, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [3323/9009, true, -24336-780*x^2+936*x*y-1170*y^2+3432*x+7722*y, 114741376640*y+65548633040*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-4469567776320], [1108/3003, true, -9504-576*x^2+1464*x*y-1296*y^2-1872*x+6768*y, 120429159312*y-1922485488*x-1756303024*y^2-829396624*x^2+1687921816*x*y-3055962753536], [3331/9009, true, -4212+2700*y+13500*x-3672*y^2-4752*x^2+6804*x*y, 113782484200*y+181013463400*x-5461918672*y^2-6073109392*x^2+8855064904*x*y-2488512744312], [476/1287, true, -49896-3672*x^2+3888*x*y-2808*y^2+19008*x+9504*y, 164433474656*y+262925492192*x-4042558552*y^2-4856542168*x^2+5367208432*x*y-8602673299464], [101/273, true, -78732+17496*y+17496*x-2916*y^2-2916*x^2+2916*x*y, 263208791736*y+263208791736*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-13387756270572], [3337/9009, true, 148176+5292*x^2+6048*x*y+5292*y^2-58212*x-58212*y, -532459338642*y-474386943492*x+4629031902*y^2+3874844952*x^2+4572048888*x*y+14995944935136], [3338/9009, true, 105700-33840*y-26160*x+2540*y^2+1580*x^2+3380*x*y, -281744670064*y-201016122736*x+1882246964*y^2+964877108*x^2+2638794028*x*y+9781320028740], [53/143, true, -18900-144*x^2-536*x*y-246*y^2+3708*x+4626*y, 114433780032*y+93093353496*x-507500032*y^2-291940168*x^2-1296793472*x*y-5209707342320], [478/1287, true, 112464+3828*x^2+4752*x*y+2112*y^2-43428*x-31416*y, -275938110602*y-380716888706*x+1874464934*y^2+3235228286*x^2+3418293784*x*y+10820067708468], [3347/9009, true, 54528+1152*x^2+1536*x*y+1152*y^2-15360*x-15360*y, -136360744960*y-126095918080*x+969792512*y^2+853146752*x^2+1159522816*x*y+5244413467008], [372/1001, true, 11848+116*x^2+304*x*y+176*y^2-2412*x-2952*y, -13020220422*y-10383092082*x+67903326*y^2+41265666*x^2+127228104*x*y+575588464668], [3349/9009, true, -99072-768*x^2-2304*x*y-768*y^2+19200*x+19200*y, 198285894400*y+210217849600*x-659681536*y^2-768153856*x^2-2285835008*x*y-11474413119744], [305/819, true, 108560-26082*y-36708*x+874*y^2+2392*x^2+5704*x*y, -221966060624*y-354581135216*x+539262608*y^2+2261536304*x^2+4686827008*x*y+10723770658560], [3356/9009, true, 41580+812*x^2+1372*x*y+476*y^2-11984*x-9296*y, -81408883248*y-109473586992*x+393560748*y^2+712477836*x^2+1063080396*x*y+4064315062500], [373/1001, true, 7040+100*x^2+160*x*y+100*y^2-1620*x-1620*y, -13800010950*y-13258505700*x+79589750*y^2+74120000*x^2+119608600*x*y+651464644900], [3358/9009, true, -9160-80*x^2-200*x*y-80*y^2+1800*x+1800*y, 18881450500*y+19537028500*x-73211800*y^2-79171600*x^2-196875500*x*y-1069942266900], [3359/9009, true, -115752-1144*x^2-1976*x*y-754*y^2+23452*x+19162*y, 177422001372*y+224213347512*x-655330284*y^2-1042035624*x^2-1621934496*x*y-11925665497872], [3364/9009, true, 107136+864*x^2+6912*x*y+864*y^2-30240*x-30240*y, 11403021610008+831328272*x^2+6581604456*x*y+261899082*y^2-317404048500*x-273558000870*y], [3365/9009, true, 50176+512*x^2+2048*x*y+512*y^2-12288*x-12288*y, -113433346048*y-124278043648*x+350834432*y^2+474069632*x^2+1876361728*x*y+5292270834816], [34/91, true, 9216+96*x^2+256*x*y+96*y^2-2016*x-2016*y, -18787190994*y-19614101364*x+76870274*y^2+85222904*x^2+225798664*x*y+960992655844], [3368/9009, true, -17024-160*x^2-256*x*y-160*y^2+3168*x+3168*y, 29566297970*y+28406131820*x-139516150*y^2-129928000*x^2-209666840*x*y-1721703498960], [1123/3003, true, -175104-1536*x^2-2048*x*y-1536*y^2+30720*x+30720*y, 285424296960*y+263938414080*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-17389899673472], [3373/9009, true, 90000-900*x^2+7200*x*y+1200*y^2-18900*x-33600*y, -329933130758*y-209841551612*x+357255266*y^2-1202375632*x^2+7855181176*x*y+10361425429440], [482/1287, true, 58356+108*x^2+2628*x*y+972*y^2-11376*x-18288*y, -185129540464*y-119570593648*x+711766436*y^2-33221596*x^2+2783956684*x*y+6649071919908], [375/1001, true, 23188+176*x^2+616*x*y+374*y^2-4356*x-6138*y, -63733483044*y-43491249648*x+330120252*y^2+125653248*x^2+627304608*x*y+2628136169064], [3376/9009, true, 4104+48*x^2+72*x*y+48*y^2-840*x-840*y, -9168037340*y-8695411340*x+49238168*y^2+44941568*x^2+68215252*x*y+482238408204], [307/819, true, -5136-36*x^2-96*x*y-36*y^2+924*x+924*y, 6676079894*y+6969924764*x-22349506*y^2-24777976*x^2-65649416*x*y-415862083416], [1126/3003, true, -67700-340*x^2-980*x*y-580*y^2+9960*x+12840*y, 112248814392*y+84507436728*x-438933924*y^2-228771972*x^2-822871764*x*y-6463373536620], [3382/9009, true, 53456-3068*x^2+6448*x*y+832*y^2-1092*x-28392*y, -296655789122*y-6017341022*x-238237258*y^2-4012762558*x^2+8181819688*x*y+6600832685916], [3383/9009, true, 48000-640*x^2+2560*x*y+1280*y^2-5120*x-20480*y, -224188867584*y-45195549696*x+946456704*y^2-1087558272*x^2+3202288128*x*y+5765099166720], [3385/9009, true, 18176+256*x^2+256*x*y+256*y^2-3840*x-3840*y, -43038152960*y-36960661760*x+275719424*y^2+220469504*x^2+231073024*x*y+2101433804544], [3386/9009, true, 6336+68*x^2+112*x*y+32*y^2-1364*x-968*y, -13491030762*y-20226317166*x+42306678*y^2+97970202*x^2+138378888*x*y+1004103357804], [1129/3003, true, -27904-128*x^2-512*x*y-128*y^2+4608*x+4608*y, 26681622528*y+29232496128*x-55015168*y^2-74339968*x^2-294236672*x*y-1854985545344], [3392/9009, true, 13948-2068*x^2+2156*x*y+572*y^2+7920*x-13200*y, -153144785200*y+122117032400*x+49149212*y^2-3078825988*x^2+3382264876*x*y+1540771574148], [29/77, true, 20808-204*x^2+544*x*y+816*y^2-612*x-9792*y, -118164063402*y+23153820228*x+742531586*y^2-684921784*x^2+902089624*x*y+2235896928988], [3394/9009, true, 24408+432*x^2+216*x*y+432*y^2-5400*x-5400*y, -62577870300*y-39396545100*x+480655944*y^2+269916624*x^2+176467572*x*y+2571578908236], [1132/3003, true, 14724+108*x^2+292*x*y+12*y^2-3048*x-1896*y, -29549660712*y-57644397096*x-9811516*y^2+203027396*x^2+467345164*x*y+2843169116788], [3400/9009, true, -9408*x^2+8064*x*y-7056*y^2+37632*x+21168*y, 317896303186*y+533496036304*x-9997585222*y^2-12797581756*x^2+11738123608*x*y-863710642560], [3401/9009, true, -26880+6144*y+24576*x-2304*y^2-4608*x^2+3072*x*y, 89779914752*y+351396497408*x-3540451072*y^2-6513366784*x^2+5040449536*x*y-4366831034880], [54/143, true, -19040+720*y+11520*x-400*y^2-1600*x^2+640*x*y, 6600572550*y+190257724800*x-785544750*y^2-2640667500*x^2+1437744600*x*y-3371345639100], [3404/9009, true, 22848+576*x^2+384*x*y-144*y^2-8448*x-528*y, 7371528362*y-65260339408*x-156660934*y^2+443602436*x^2+191478424*x*y+1623053787048], [1135/3003, true, 44800+512*x^2+1024*x*y-256*y^2-12288*x-3072*y, -13782472704*y-142595582976*x-379786752*y^2+596070144*x^2+968398848*x*y+5014054275840], [310/819, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [379/1001, true, -59524+21114*y+27324*x-4094*y^2-4784*x^2+3496*x*y, 295546516056*y+410739914376*x-5628507016*y^2-6792076696*x^2+5286377344*x*y-9964300416896], [3412/9009, true, -55000-2000*x^2+1000*x*y-2000*y^2+15000*x+15000*y, 198266282500*y+258433532500*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-9401185852500], [3413/9009, true, -27744-340*x^2+544*x*y-1360*y^2+748*x+11968*y, 168755937570*y+83056483620*x-1684839150*y^2-976579200*x^2+580323960*x*y-6323369659560], [1138/3003, true, 17276+364*x^2+1372*x*y-1316*y^2-12600*x+7560*y, 141275453880*y-97202145480*x-1663416148*y^2+143232332*x^2+1186295116*x*y-922514942732], [380/1001, true, -25272-10764*x^2+13936*x*y-11856*y^2+34164*x+43992*y, 725602126986*y+528432840342*x-16333108258*y^2-14341499302*x^2+18007587688*x*y-7942320753956], [311/819, true, -89856+34560*y+34560*x-6912*y^2-6912*x^2+6912*x*y, 519918600960*y+519918600960*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-16004039844096], [3422/9009, true, -108416-3916*x^2+3344*x*y-4576*y^2+24684*x+31944*y, 452255719454*y+406741225814*x-6069044506*y^2-5692891666*x^2+4662787864*x*y-18736480665756], [163/429, true, -86400-1920*x^2+2560*x*y-3840*y^2+7680*x+30720*y, 449739028992*y+205573513728*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-17039457132800], [3428/9009, true, 345600+8640*x^2+10800*x*y+8640*y^2-112320*x-112320*y, -1010207959200*y-920277119520*x+7397892000*y^2+6375950640*x^2+8163487800*x*y+34416782841600], [381/1001, true, 213840+2574*x^2+5368*x*y+3828*y^2-47322*x-58608*y, 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38207057768*y+39302657108*x-138954640*y^2-148009180*x^2-353612336*x*y-2376567412824], [3455/9009, true, 310500+2700*x^2+13500*x*y+2700*y^2-75600*x-75600*y, -693388816560*y-776206482480*x+1599411420*y^2+2540521260*x^2+12560013900*x*y+32745976296300], [384/1001, true, 133200+1200*x^2+4000*x*y+1200*y^2-28800*x-28800*y, -267133363200*y-286846702560*x+893701400*y^2+1092826040*x^2+3609230800*x*y+13953980153320], [3457/9009, true, 22900+200*x^2+500*x*y+200*y^2-4500*x-4500*y, -41978294600*y-43435812200*x+162768560*y^2+176018720*x^2+437704600*x*y+2378755365480], [1153/3003, true, -38700-300*x^2-500*x*y-300*y^2+6600*x+6600*y, 61631054760*y+59678172840*x-260651380*y^2-245856820*x^2-412501100*x*y-3931475038700], [3464/9009, true, 312320+256*x^2+15424*x*y+4096*y^2-63744*x-94464*y, -930263011744*y-682028859424*x+2534550656*y^2-286291984*x^2+16073239864*x*y+35283024194880], [5/13, true, 180320+874*x^2+5704*x*y+2392*y^2-33534*x-47196*y, 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643328486240*y+1692726648800*x-21234002080*y^2-33158981200*x^2+27846902200*x*y-1738879440000], [389/1001, true, -81200-12250*x^2+7000*x*y-4900*y^2+78750*x+12600*y, 174721714200*y+1163060256600*x-8012935800*y^2-17996153400*x^2+12496140000*x*y-13320272415600], [3502/9009, true, -62400-4500*x^2+1500*x*y-900*y^2+37500*x+1500*y, 6022993900*y+665107019500*x-1988961340*y^2-7980634300*x^2+3868413700*x*y-11813513070840], [1168/3003, true, 83200+2000*x^2+1000*x*y-400*y^2-30000*x-1200*y, 31344096960*y-190088078400*x-414607680*y^2+1262908800*x^2+354304800*x*y+4667352762240], [30/77, true, -102600+93024*y+125856*x-19608*y^2-23256*x^2+18544*x*y, 1333876309920*y+1855282524480*x-27138110440*y^2-32404839880*x^2+27329224720*x*y-19889603934200], [3511/9009, true, -197540-12784*x^2+7412*x*y-9928*y^2+90780*x+62220*y, 834682466200*y+1399166051800*x-13753371280*y^2-18885040240*x^2+12330697720*x*y-32947017133800], [3512/9009, true, -180360-5400*x^2+2160*x*y-5400*y^2+47520*x+47520*y, 617536389888*y+874626812928*x-7184324160*y^2-9309038400*x^2+4161435264*x*y-31921248533184], [1171/3003, true, -91260+39000*y+1560*x-3900*y^2-780*x^2+1300*x*y, 544579808520*y+308716759560*x-4810912060*y^2-3024070780*x^2+1370614900*x*y-22360266779780], [391/1001, true, 708588+13122*x^2+17496*x*y+13122*y^2-196830*x-196830*y, -1747388374380*y-1615850231490*x+11046542832*y^2+9717874722*x^2+13207689576*x*y+69666237919188], [56/143, true, 583200+10440*x^2+14640*x*y+7020*y^2-159840*x-129060*y, -1138098098412*y-1402777325268*x+6037666484*y^2+8711194028*x^2+10916547808*x*y+56284772199760], [3529/9009, true, 244224+3072*x^2+4608*x*y+3072*y^2-53760*x-53760*y, -465077212160*y-441101788160*x+2497759232*y^2+2279800832*x^2+3460430848*x*y+23092405699584], [393/1001, true, 623700+8118*x^2+17688*x*y+4752*y^2-152658*x-122364*y, -1076800247622*y-1450212816294*x+3633990566*y^2+7405834694*x^2+14485559224*x*y+61627365400780], [3538/9009, true, 211800+2480*x^2+4360*x*y+1760*y^2-46600*x-39400*y, 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-2009501655260*y-633633315260*x+10016624192*y^2-2491269808*x^2+16503145348*x*y+67312094841684], [25/63, true, 420876+3078*x^2+5832*x*y+6642*y^2-65934*x-105138*y, -1182367207252*y-587812374226*x+6571469408*y^2+1657793102*x^2+6400320808*x*y+49384968013584], [1192/3003, true, 288684+2916*x^2+2916*x*y+2916*y^2-52488*x-52488*y, -588277753272*y-505206045432*x+3140616564*y^2+2511285444*x^2+2632066164*x*y+33559656953796], [398/1001, true, 388800-16992*x^2+25728*x*y+11232*y^2+37152*x-216864*y, -2478719953512*y+724104997506*x+6356546276*y^2-25995220906*x^2+37362058024*x*y+50585062170280], [3583/9009, true, 403200-3840*x^2+11520*x*y+11520*y^2-19200*x-172800*y, -2021675152640*y+97699613440*x+9990093056*y^2-9276950272*x^2+16777543936*x*y+48936211971840], [512/1287, true, 403584+2624*x^2+4864*x*y+8384*y^2-55616*x-118976*y, -1397992385196*y-340042748166*x+8420417424*y^2-322968006*x^2+6266477304*x*y+46424371696164], [1195/3003, true, 387072+4608*x^2+3072*x*y+4608*y^2-73728*x-73728*y, -844229050368*y-624770285568*x+5090643968*y^2+3428077568*x^2+2610061312*x*y+43270422003712], [57/143, true, 104652-31518*x^2+24888*x*y-918*y^2+171666*x-103734*y, -1197539552484*y+2502571879566*x-8584699288*y^2-45959562238*x^2+41362116808*x*y+14024508526132], [3592/9009, true, 107976-12496*x^2+9592*x*y+5984*y^2+77000*x-107800*y, -1328128371900*y+1398203324100*x+3082974912*y^2-21701858688*x^2+17981838756*x*y+10299699090468], [3593/9009, true, 197136-1110*x^2+2664*x*y+6660*y^2-2442*x-87912*y, -1091537814070*y+460392165530*x+6224329850*y^2-6601537750*x^2+5593287640*x*y+17900341001460], [1198/3003, true, 310500+4500*x^2+1500*x*y+4500*y^2-63000*x-63000*y, -739220559000*y-309283359000*x+4988133500*y^2+1731033500*x^2+1224044500*x*y+29288431616500], [400/1001, true, 78732*y+314928*x-26244*y^2-52488*x^2+34992*x*y, 1150480509156*y+4502953944324*x-40327950492*y^2-74191318524*x^2+57413870496*x*y-3088489973040], [277/693, true, -207360+23040*y+207360*x-9216*y^2-27648*x^2+13824*x*y, 292874644480*y+3177684843520*x-16031229952*y^2-42256777216*x^2+26737466368*x*y-34763013442560], [3602/9009, true, -167832-10584*x^2+3024*x*y-1764*y^2+99792*x+2772*y, -7434439408*y+1892301863012*x-4372096864*y^2-20072396884*x^2+8867077024*x*y-33918510521112], [515/1287, true, -1600*x^2+640*x*y-400*y^2+6400*x+400*y, 3666984750*y+105698736000*x-785544750*y^2-2640667500*x^2+1437744600*x*y-2881440000], [1202/3003, true, -4608*x^2+3072*x*y-2304*y^2+18432*x+4608*y, 67334936064*y+263547373056*x-3540451072*y^2-6513366784*x^2+5040449536*x*y-120508067840], [3607/9009, true, -9408*x^2+8064*x*y-7056*y^2+37632*x+21168*y, 317896303186*y+533496036304*x-9997585222*y^2-12797581756*x^2+11738123608*x*y-863710642560], [328/819, true, 65536*y+65536*x-16384*y^2-16384*x^2+16384*x*y, 985919717376*y+985919717376*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-3585162608640], [401/1001, true, -25920*x^2+28800*x*y-32400*y^2+103680*x+162000*y, 2441793226950*y+1740472826400*x-43647249550*y^2-36563205100*x^2+37965343000*x*y-11117784896000], [3613/9009, true, 1728+432*x^2+216*x*y+432*y^2-2160*x-2160*y, -25031148120*y-15758618040*x+480655944*y^2+269916624*x^2+176467572*x*y+215969912496], [278/693, true, 4624-204*x^2+544*x*y+816*y^2-340*x-5440*y, -65646701890*y+12863233460*x+742531586*y^2-684921784*x^2+902089624*x*y+610166101344], [1205/3003, true, 9328-2068*x^2+2156*x*y+572*y^2+5940*x-9900*y, -114858588900*y+91587774300*x+49149212*y^2-3078825988*x^2+3382264876*x*y+1242129453448], [3617/9009, true, 1024-12288*x^2+12352*x*y-6912*y^2+48896*x+5888*y, 160101333392*y+648724700624*x-10536857968*y^2-16089396232*x^2+17435049268*x*y-1052920499904], [402/1001, true, -42032+59940*y+99900*x-17908*y^2-22348*x^2+22496*x*y, 960531191730*y+1394712952380*x-25244195026*y^2-29629869376*x^2+31083719512*x*y-10559362870784], [3622/9009, true, 2048+256*x^2+256*x*y+256*y^2-1536*x-1536*y, -17215261184*y-14784264704*x+275719424*y^2+220469504*x^2+231073024*x*y+253461184512], [1208/3003, true, 25600-15360*y-3840*x+1280*y^2-640*x^2+2560*x*y, -168141650688*y-33896662272*x+946456704*y^2-1087558272*x^2+3202288128*x*y+3172274150400], [3625/9009, true, 53456-3068*x^2+6448*x*y+832*y^2-1092*x-28392*y, -296655789122*y-6017341022*x-238237258*y^2-4012762558*x^2+8181819688*x*y+6600832685916], [518/1287, true, 81920-36864*y+12288*x-2048*y^2-8192*x^2+13312*x*y, -340433775616*y+146451633152*x-4658294272*y^2-10191083008*x^2+17053719808*x*y+9782870630400], [31/77, true, 84208-17404*x^2+24016*x*y-9424*y^2+48564*x-23256*y, -62965824174*y+602967540186*x-14932774386*y^2-21659374026*x^2+31137585624*x*y+8230952730132], [3631/9009, true, 576+48*x^2+72*x*y+48*y^2-336*x-336*y, -3667214936*y-3478164536*x+49238168*y^2+44941568*x^2+68215252*x*y+69592743696], [3632/9009, true, 6864+176*x^2+616*x*y+374*y^2-2420*x-3410*y, -35407490580*y-24161805360*x+330120252*y^2+125653248*x^2+627304608*x*y+793401854112], [173/429, true, 32400+108*x^2+2628*x*y+972*y^2-8532*x-13716*y, -138847155348*y-89677945236*x+711766436*y^2-33221596*x^2+2783956684*x*y+3716333129080], [3634/9009, true, 90000-900*x^2+7200*x*y+1200*y^2-18900*x-33600*y, -329933130758*y-209841551612*x+357255266*y^2-1202375632*x^2+7855181176*x*y+10361425429440], [3635/9009, true, 181248-4096*x^2+15424*x*y-256*y^2-28928*x-59648*y, -554172342768*y-339414541488*x-2365166736*y^2-4805596296*x^2+17325159444*x*y+20870320128768], [404/1001, true, 286416-11232*x^2+28392*x*y-5382*y^2-26676*x-79326*y, -642041443296*y-333947364696*x-9949397152*y^2-13061458552*x^2+32869328512*x*y+32327577753856], [331/819, true, 2944+96*x^2+256*x*y+96*y^2-1120*x-1120*y, -10437328330*y-10896722980*x+76870274*y^2+85222904*x^2+225798664*x*y+303903875496], [1214/3003, true, 28672+512*x^2+2048*x*y+512*y^2-9216*x-9216*y, -85075009536*y-93208532736*x+350834432*y^2+474069632*x^2+1876361728*x*y+3004298708992], [3643/9009, true, 107136+864*x^2+6912*x*y+864*y^2-30240*x-30240*y, 11403021610008+831328272*x^2+6581604456*x*y+261899082*y^2-317404048500*x-273558000870*y], [405/1001, true, 496000-4000*x^2+32000*x*y-4000*y^2-108000*x-108000*y, -863528267250*y-1211279998500*x-7756606750*y^2-4243963000*x^2+32958229000*x*y+53546442877000], [3650/9009, true, 2000+100*x^2+160*x*y+100*y^2-900*x-900*y, -7666672750*y-7365836500*x+79589750*y^2+74120000*x^2+119608600*x*y+188463360000], [1217/3003, true, 22960+812*x^2+1372*x*y+476*y^2-8988*x-6972*y, -61056662436*y-82105190244*x+393560748*y^2+712477836*x^2+1063080396*x*y+2227071286440], [332/819, true, 108560-26082*y-36708*x+874*y^2+2392*x^2+5704*x*y, -221966060624*y-354581135216*x+539262608*y^2+2261536304*x^2+4686827008*x*y+10723770658560], [281/693, true, 312320+4096*x^2+15424*x*y+256*y^2-94464*x-63744*y, -518764482544*y-950435180464*x-803702704*y^2+4101646136*x^2+13397507284*x*y+31389186924480], [58/143, true, 672400+4100*x^2+32800*x*y-3280*y^2-184500*x-118080*y, -888781721850*y-1918528375500*x-6018598350*y^2+4382883000*x^2+29992383000*x*y+68324419188000], [1220/3003, true, 27648+1152*x^2+1536*x*y+1152*y^2-11520*x-11520*y, -102270558720*y-94571938560*x+969792512*y^2+853146752*x^2+1159522816*x*y+2718268085248], [523/1287, true, 112464+3828*x^2+4752*x*y+2112*y^2-43428*x-31416*y, -275938110602*y-380716888706*x+1874464934*y^2+3235228286*x^2+3418293784*x*y+10820067708468], [3662/9009, true, 344064+8192*x^2+13312*x*y+2048*y^2-118784*x-69632*y, -572141104128*y-1097739979776*x+1508101632*y^2+7480816128*x^2+9987003648*x*y+32921967476736], [37/91, true, 807408+12852*x^2+30576*x*y-1008*y^2-253260*x-128520*y, -955840268790*y-2439034419690*x-2579616706*y^2+12402142394*x^2+24469137832*x*y+77673263691676], [3670/9009, true, 148176+5292*x^2+6048*x*y+5292*y^2-58212*x-58212*y, -532459338642*y-474386943492*x+4629031902*y^2+3874844952*x^2+4572048888*x*y+14995944935136], [3671/9009, true, 394240+12288*x^2+12352*x*y+6912*y^2-147712*x-104704*y, -934098038896*y-1256307823408*x+6397863728*y^2+10059338552*x^2+8433773428*x*y+38021105642880], [408/1001, true, 929488+22016*x^2+27176*x*y+5246*y^2-320436*x-169506*y, -1382711983884*y-2850986731824*x+4554766004*y^2+19385824064*x^2+18824043424*x*y+87207218964832], [3680/9009, true, 524288+16384*x^2+16384*x*y+16384*y^2-196608*x-196608*y, -1839663874048*y-1579881791488*x+14732017664*y^2+11779948544*x^2+12346507264*x*y+54170933526528], [409/1001, true, 1108096+31328*x^2+26752*x*y+18128*y^2-402336*x-283536*y, -2571787501866*y-3329831991816*x+17233492338*y^2+24890507388*x^2+17488318392*x*y+107243562471696], [410/1001, true, 1458000+40500*x^2+36000*x*y+40500*y^2-526500*x-526500*y, -5015379327750*y-4152094996500*x+37172981750*y^2+28452938000*x^2+26974831000*x*y+152975562328000], [3694/9009, true, 1080*y+120*x-360*y^2-120*x^2+180*x*y, 15454357072*y+6767707408*x-451169104*y^2-253745248*x^2+199867432*x*y-42302549280], [3695/9009, true, -1344-576*x^2+384*x*y-576*y^2+1920*x+1920*y, 26249991680*y+30877806080*x-771153664*y^2-855295744*x^2+587762176*x*y-254604946176], [16/39, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [3697/9009, true, -2880-2496*x^2+3456*x*y-3264*y^2+5376*x+10752*y, 173000707264*y+94037470912*x-4429755688*y^2-3404259112*x^2+4365986512*x*y-1210062713880], [3698/9009, true, 576-3888*x^2+6948*x*y-6912*y^2+3312*x+27504*y, 454055112896*y+121563958208*x-9349328128*y^2-5571019552*x^2+8379221872*x*y-2660337703296], [411/1001, true, 11200-5440*x^2+12160*x*y-13120*y^2-5760*x+63360*y, 1061519893632*y+144308469888*x-17851074624*y^2-8586312768*x^2+14257302912*x*y-6158641170240], [529/1287, true, 540+108*x^2+108*x*y-36*y^2-648*x-72*y, 281229784*y-6025295144*x-43112668*y^2+100217444*x^2+73442164*x*y+47572266780], [95/231, true, -1800-432*x^2+216*x*y-144*y^2+1944*x+216*y, 2745699792*y+29790795408*x-250487968*y^2-660262144*x^2+417772912*x*y-299831184560], [3706/9009, true, -7020-1350*x^2+1080*x*y-900*y^2+5670*x+2520*y, 37729180720*y+79894072720*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-1157715930720], [337/819, true, -20412+11664*y+11664*x-2916*y^2-2916*x^2+2916*x*y, 175472527824*y+175472527824*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-3736767240252], [412/1001, true, -50400-5292*x^2+6048*x*y-7056*y^2+20412*x+36288*y, 547686211644*y+358676717256*x-9483573388*y^2-7574386576*x^2+7902778864*x*y-10414390789040], [3709/9009, true, -110160-8640*x^2+10800*x*y-14400*y^2+32400*x+90000*y, 1370300503000*y+707845963000*x-19345352800*y^2-13323038800*x^2+13776151000*x*y-25571218205400], [3712/9009, true, 336+32*x^2+52*x*y+8*y^2-232*x-136*y, -1619001648*y-3106301616*x+8535024*y^2+42337296*x^2+56520936*x*y+46580047488], [3713/9009, true, 984+72*x^2+48*x*y+72*y^2-480*x-480*y, -5496282880*y-4067514880*x+79541312*y^2+53563712*x^2+40782208*x*y+111164109504], [1238/3003, true, 2400-60*x^2+180*x*y+180*y^2-180*x-1620*y, -18953204556*y+915933876*x+156095204*y^2-144952348*x^2+262149124*x*y+282094984360], [3715/9009, true, 3528-3136*y+1568*x+56*y^2-616*x^2+784*x*y, -34146560448*y+21756518784*x-114226632*y^2-840240648*x^2+1115376912*x*y+397869178824], [3716/9009, true, -2016-1944*x^2+2196*x*y-864*y^2+6768*x-1872*y, -7491174592*y+86998100288*x-1430745664*y^2-2504487424*x^2+3031745296*x*y-552575966976], [59/143, true, -29304+9504*y+19008*x-3432*y^2-4488*x^2+4752*x*y, 162638448192*y+260055284544*x-4886967856*y^2-5870976304*x^2+6488310496*x*y-5233342270352], [26/63, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [3721/9009, true, -252-12*x^2-36*x*y-12*y^2+120*x+120*y, 822330520*y+871814680*x-6839572*y^2-7964212*x^2-23699516*x*y-19259128572], [3722/9009, true, 348+18*x^2+24*x*y+18*y^2-150*x-150*y, -1650635800*y-1526380900*x+18782816*y^2+16523636*x^2+22457488*x*y+41119513176], [1241/3003, true, 3184+32*x^2+208*x*y+128*y^2-816*x-1392*y, -14735486304*y-8139634272*x+110630016*y^2+10692864*x^2+225269856*x*y+368546316768], [532/1287, true, 12168-156*x^2+936*x*y+234*y^2-2184*x-4914*y, -50093578304*y-23846508224*x+119557184*y^2-221313856*x^2+1062017536*x*y+1414691436288], [3725/9009, true, 25740-972*x^2+2628*x*y-108*y^2-2736*x-9648*y, -90819973552*y-33259327024*x-509603332*y^2-1163701588*x^2+3083296972*x*y+2943200110620], [414/1001, true, 30268-3082*x^2+5704*x*y-1702*y^2+2070*x-10350*y, -67003021800*y+21996811980*x-2787625152*y^2-3686613372*x^2+6928846704*x*y+2944400428008], [3727/9009, true, -6552-7392*x^2+10584*x*y-5712*y^2+21000*x+4200*y, 171475011400*y+272794937800*x-8231342224*y^2-9152432464*x^2+13344956968*x*y-3750293854104], [3730/9009, true, -864-72*x^2-108*x*y-72*y^2+504*x+504*y, 4698091024*y+4455897424*x-63079312*y^2-57574912*x^2-87390968*x*y-89155680864], [1244/3003, true, 1656+36*x^2+108*x*y+36*y^2-540*x-540*y, -5020849020*y-5322981180*x+27839948*y^2+32417708*x^2+96467044*x*y+173211234448], [3733/9009, true, 14256+144*x^2+864*x*y+144*y^2-4032*x-4032*y, -36780194528*y-41808935168*x+71589416*y^2+136897736*x^2+812150896*x*y+1518757831224], [415/1001, true, 95616-1152*x^2+6912*x*y-1152*y^2-20736*x-20736*y, -158049530496*y-234701191296*x-2010453952*y^2-1236194752*x^2+7213827712*x*y+10166797516096], [3736/9009, true, 135000-4500*x^2+13500*x*y-4500*y^2-22500*x-22500*y, -89997957500*y-259337457500*x-6612326500*y^2-5072876500*x^2+14860979500*x*y+13186126320000], [340/819, true, -1104-36*x^2-96*x*y-36*y^2+420*x+420*y, 4381772780*y+4574634680*x-32271484*y^2-35778064*x^2-94794224*x*y-127584156336], [1247/3003, true, 1416+48*x^2+72*x*y+48*y^2-504*x-504*y, -4360098864*y-4135329264*x+39027488*y^2+35621888*x^2+54069232*x*y+133035826576], [3742/9009, true, 13860+374*x^2+616*x*y+176*y^2-4774*x-3388*y, -29240685936*y-43838858448*x+144094032*y^2+333680688*x^2+471310272*x*y+1352809274400], [3743/9009, true, 58356+972*x^2+2628*x*y+108*y^2-18288*x-11376*y, -91756700464*y-178995614512*x-45699628*y^2+945651668*x^2+2176778812*x*y+5797093694964], [32/77, true, 150000+1200*x^2+7200*x*y-900*y^2-43200*x-24300*y, -173137699548*y-442520540352*x-1463979604*y^2+1257059192*x^2+6425690512*x*y+15004886891920], [535/1287, true, 280896-256*x^2+15424*x*y-4096*y^2-74560*x-36160*y, -183169083240*y-788885852040*x-5704418304*y^2-197902224*x^2+14739183576*x*y+27643426039944], [1250/3003, true, 3280+68*x^2+196*x*y+116*y^2-996*x-1284*y, -7457089068*y-5614130412*x+58319892*y^2+30396276*x^2+109332612*x*y+211744546200], [341/819, true, 20520+600*x^2+720*x*y+600*y^2-6720*x-6720*y, -60916042880*y-54945709280*x+518923400*y^2+441386600*x^2+544388080*x*y+1995496921080], [536/1287, true, 72288+1944*x^2+2196*x*y+864*y^2-24336*x-15696*y, -136198359616*y-212454907456*x+787296704*y^2+1653848384*x^2+1520823856*x*y+6910497420288], [417/1001, true, 197080+3848*x^2+6448*x*y+104*y^2-63648*x-29952*y, -224249389056*y-589155202944*x-128299248*y^2+3557618064*x^2+4786889184*x*y+18655642882800], [3754/9009, true, 416160+5100*x^2+15300*x*y-3060*y^2-127500*x-45900*y, -248949387500*y-1233286587500*x-3969917500*y^2+4978602500*x^2+12466187500*x*y+39017389365000], [3760/9009, true, 46008+864*x^2+1944*x*y+1566*y^2-12852*x-17766*y, -154570790528*y-101023024256*x+1202857088*y^2+507431552*x^2+1609111552*x*y+4447478544384], [3761/9009, true, 113724+2916*x^2+2916*x*y+2916*y^2-34992*x-34992*y, -327420645552*y-281185016112*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+11281039559244], [38/91, true, 265356+6642*x^2+5832*x*y+3078*y^2-86022*x-53946*y, -477358013088*y-720852763356*x+2954083064*y^2+5413625996*x^2+3735430096*x*y+25112419438408], [3763/9009, true, 559224+11232*x^2+13608*x*y+432*y^2-180360*x-72360*y, -523611813560*y-1588331469560*x+200398352*y^2+9879667952*x^2+9119418088*x*y+51001119724104], [290/693, true, 221760+3888*x^2+6948*x*y+6912*y^2-58896*x-83088*y, -774517513792*y-466347221824*x+5752698368*y^2+2250763232*x^2+6097274032*x*y+22914355843200], [419/1001, true, 412608+9408*x^2+8064*x*y+9408*y^2-120960*x-120960*y, -1158201221760*y-947164521600*x+8684541248*y^2+6552857408*x^2+6028921984*x*y+41402878285888], [3772/9009, true, 772008-150100*y-241300*x+8588*y^2+17708*x^2+12844*x*y, -1354274588700*y-1944171474300*x+8475491916*y^2+13838190876*x^2+7672190508*x*y+72417838204656], [60/143, true, 730336+11948*x^2+17632*x*y+20648*y^2-186876*x-265176*y, -2559179949876*y-1447104227976*x+17911732068*y^2+6678643968*x^2+15877140912*x*y+77894463837456], [3781/9009, true, 1170000-330000*y-330000*x+24000*y^2+24000*x^2+18000*x*y, -3215636105000*y-2502885605000*x+22569404000*y^2+16089854000*x^2+13327303000*x*y+118138827345000], [344/819, true, 512*y+512*x-256*y^2-256*x^2+256*x*y, 7702497792*y+7702497792*x-350113536*y^2-350113536*x^2+350113536*x*y-14004541440], [3785/9009, true, 32-368*x^2+448*x*y-272*y^2+720*x+240*y, 5469406580*y+9724821590*x-400347544*y^2-477718726*x^2+601807576*x*y-20514151956], [541/1287, true, 7968-592*x^2+1984*x*y-1072*y^2-2800*x+560*y, 30285291960*y-30990052170*x-1563823692*y^2-768040002*x^2+2341016424*x*y+709774596108], [3788/9009, true, 20480-512*x^2+3328*x*y-2048*y^2-9216*x+3072*y, 95680606208*y-103035817984*x-3033075712*y^2-774934528*x^2+3891592192*x*y+1725169582080], [421/1001, true, 43040-176*x^2+5056*x*y-3536*y^2-21168*x+9072*y, 244895300892*y-239369159898*x-5476197136*y^2-584636926*x^2+6005014456*x*y+3333164946700], [3793/9009, true, 160-16*x^2+104*x*y-64*y^2-144*x+48*y, 1452811624*y-1564492952*x-92108272*y^2-23533168*x^2+118179652*x*y+13097463120], [542/1287, true, -200-30*x^2+40*x*y-60*y^2+50*x+200*y, 2927988470*y+1338369230*x-77154646*y^2-48252478*x^2+47836984*x*y-40748915340], [115/273, true, -648+324*y+324*x-108*y^2-108*x^2+108*x*y, 4874236884*y+4874236884*x-147704148*y^2-147704148*x^2+147704148*x*y-111664335888], [292/693, true, -980+882*y+294*x-322*y^2-238*x^2+392*x*y, 15419703376*y+5849873722*x-442229116*y^2-317945614*x^2+483946456*x*y-240470138160], [3797/9009, true, -896-384*x^2+976*x*y-864*y^2-832*x+3008*y, 54256749008*y-866134192*x-1186896424*y^2-560500024*x^2+1140684916*x*y-596954823696], [3799/9009, true, 2200+21300*y-12300*x-3820*y^2-460*x^2+3380*x*y, 399214736140*y-59311240340*x-5534233276*y^2-1365815308*x^2+3810016804*x*y-4402977107760], [3803/9009, true, 120+8*x^2+16*x*y-4*y^2-80*x-20*y, -89729640*y-928356660*x-5934168*y^2+9313596*x^2+15131232*x*y+13426727400], [3805/9009, true, -600-72*x^2+48*x*y-36*y^2+336*x+84*y, 1227459772*y+4804248988*x-55319548*y^2-101771356*x^2+78757024*x*y-95254729440], [346/819, true, -3072+1024*y+1024*x-256*y^2-256*x^2+256*x*y, 15404995584*y+15404995584*x-350113536*y^2-350113536*x^2+350113536*x*y-522369395712], [423/1001, true, -10920-600*x^2+720*x*y-900*y^2+2160*x+4860*y, 73624525920*y+42059692620*x-1207562800*y^2-888726100*x^2+927761440*x*y-2091324995240], [544/1287, true, -30720-1152*x^2+1536*x*y-2304*y^2+3840*x+15360*y, 236985041920*y+108324705280*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-6596257812480], [293/693, true, -73080-1960*x^2+2800*x*y-4900*y^2+6160*x+38500*y, 609280798500*y+262354801500*x-6792808500*y^2-3925651500*x^2+3514860000*x*y-17458241310000], [3811/9009, true, -672-16*x^2-104*x*y-64*y^2+272*x+464*y, 3828337128*y+2114708904*x-43113168*y^2-4167072*x^2-87788988*x*y-61907784624], [3812/9009, true, -76-2*x^2-8*x*y-2*y^2+30*x+30*y, 173708480*y+190315730*x-859612*y^2-1161562*x^2-4597448*x*y-5043690816], [1271/3003, true, 104+4*x^2+4*x*y+4*y^2-36*x-36*y, -403482684*y-346506204*x+4308116*y^2+3444836*x^2+3610516*x*y+11989919776], [3814/9009, true, 600-10*x^2+40*x*y+20*y^2-70*x-280*y, -3065082174*y-617907906*x+14788386*y^2-16993098*x^2+50035752*x*y+70267254300], [545/1287, true, 896-128*x^2+208*x*y-32*y^2+192*x-576*y, -5319277744*y+2288306768*x-72785848*y^2-159235672*x^2+266464372*x*y+88225359504], [424/1001, true, -3652-506*x^2+616*x*y-374*y^2+1782*x+594*y, 13264397388*y+23584624074*x-539401288*y^2-643646002*x^2+810834952*x*y-658167085784], [347/819, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [3818/9009, true, -83776-3026*x^2+2584*x*y-3536*y^2+19074*x+24684*y, 359106196526*y+322966163366*x-4819024714*y^2-4520346754*x^2+3702409816*x*y-14877393515964], [3820/9009, true, -2048-256*x^2-256*x*y-256*y^2+1536*x+1536*y, 14056497664*y+12071555584*x-225128704*y^2-180016384*x^2-188674304*x*y-206954545152], [3821/9009, true, -464-24*x^2-32*x*y-24*y^2+200*x+200*y, 1858231100*y+1718349050*x-21145072*y^2-18601762*x^2-25281896*x*y-46290985692], [3823/9009, true, 592+8*x^2+32*x*y+8*y^2-168*x-168*y, -1550846528*y-1699113878*x+5481788*y^2+7407338*x^2+29318152*x*y+62806348212], [425/1001, true, 9072-216*x^2+864*x*y-216*y^2-1944*x-1944*y, -12537257436*y-22325810166*x-336372264*y^2-237497994*x^2+926022456*x*y+917844455268], [3827/9009, true, -38000-3000*x^2+4000*x*y-3000*y^2+11000*x+11000*y, 190134197000*y+157716028250*x-4091633500*y^2-3823714750*x^2+5040553000*x*y-7166357623500], [3830/9009, true, -4368-238*x^2-392*x*y-112*y^2+2170*x+1540*y, 13539603330*y+20299139190*x-93409794*y^2-216310446*x^2-305529624*x*y-430295076036], [1277/3003, true, -552-12*x^2-36*x*y-12*y^2+180*x+180*y, 1858930260*y+1970792340*x-10307524*y^2-12002404*x^2-35716172*x*y-64130111024], [3832/9009, true, 708+18*x^2+24*x*y+18*y^2-210*x-210*y, -1864307060*y-1723967630*x+15153008*y^2+13330418*x^2+18117544*x*y+67005408408], [3833/9009, true, 5760+128*x^2+208*x*y+32*y^2-1856*x-1088*y, -8939704752*y-17152187184*x+23564088*y^2+116887752*x^2+156046932*x*y+559117652400], [426/1001, true, 20280+234*x^2+936*x*y-156*y^2-6318*x-2808*y, -17674923618*y-62852330178*x-220165366*y^2+236172074*x^2+797399896*x*y+1965396882340], [295/693, true, 39672-108*x^2+2628*x*y-972*y^2-12060*x-3420*y, 1386134860*y-124851964820*x-1264128844*y^2-116509756*x^2+2503055236*x*y+3576524890224], [548/1287, true, 39468-1702*x^2+5704*x*y-3082*y^2-12650*x+2530*y, 121961945160*y-124800086070*x-4007612484*y^2-1968256854*x^2+5999325048*x*y+1870026578496], [1280/3003, true, -7168-128*x^2-512*x*y-128*y^2+2304*x+2304*y, 23182393344*y+25398726144*x-95600128*y^2-129180928*x^2-511296512*x*y-818652090368], [3841/9009, true, 2520+32*x^2+112*x*y+68*y^2-616*x-868*y, -6279819084*y-4285301328*x+41821164*y^2+15918336*x^2+79469856*x*y+200125817640], [3842/9009, true, 11264+256*x^2+256*x*y+256*y^2-3072*x-3072*y, -28744748032*y-24685652992*x+230187776*y^2+184061696*x^2+192914176*x*y+1093206825984], [3844/9009, true, 76800+1280*x^2+2560*x*y-640*y^2-25600*x-6400*y, -22694031360*y-234795939840*x-750422016*y^2+1177777152*x^2+1913462784*x*y+6791659315200], [3845/9009, true, 129272+832*x^2+6448*x*y-3068*y^2-44616*x-1716*y, 105456993884*y-424009905616*x-3658989388*y^2+716770112*x^2+5574887968*x*y+10187850882552], [50/117, true, 4720+38*x^2+248*x*y+104*y^2-1134*x-1596*y, -3686014178*y-2685937562*x+18873662*y^2+5885654*x^2+57993304*x*y+122426160420], [3851/9009, true, 32128+384*x^2+976*x*y+864*y^2-6976*x-10816*y, -99405468976*y-55710892336*x+690788264*y^2+194258984*x^2+877638676*x*y+3182305389648], [428/1001, true, 66420+1350*x^2+1080*x*y+1350*y^2-17010*x-17010*y, -164396877480*y-131172957630*x+1258764300*y^2+923169150*x^2+803620440*x*y+6490564778160], [3853/9009, true, 131560+2948*x^2+2156*x*y+836*y^2-40260*x-19140*y, -160658862980*y-324035886020*x+858195212*y^2+2343440876*x^2+1204679812*x*y+11821735591680], [3854/9009, true, 235480+4350*x^2+5800*x*y-1740*y^2-79750*x-12760*y, -4535824150*y-677903619250*x-1869368350*y^2+3695654750*x^2+3813709000*x*y+19113307802700], [3860/9009, true, 86016+512*x^2+3328*x*y+2048*y^2-17408*x-29696*y, -258882269184*y-143002202112*x+1457713152*y^2+140894208*x^2+2968261632*x*y+8372735852544], [3/7, true, 157248+1824*x^2+3456*x*y+3936*y^2-31968*x-50976*y, -495775307412*y-246474072306*x+3367791392*y^2+849597098*x^2+3280079992*x*y+16237207841596], [3862/9009, true, 251904+4608*x^2+3072*x*y+4608*y^2-61440*x-61440*y, -607004119040*y-449212375040*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+24553711601664], [3863/9009, true, 403584+8384*x^2+4864*x*y+2624*y^2-118976*x-55616*y, -477864194544*y-895294763154*x+2766663756*y^2+6216503166*x^2+2365254216*x*y+35066062572156], [430/1001, true, 367472+2074*x^2+10744*x*y+8704*y^2-67014*x-126684*y, -1201469238486*y-546991514586*x+6873180206*y^2+262294106*x^2+10525745416*x*y+38752862255788], [553/1287, true, 528216+5876*x^2+8788*x*y+12116*y^2-102700*x-165100*y, -1654404909300*y-746955623700*x+10744204068*y^2+2494665108*x^2+8591681124*x*y+55448746084368], [352/819, true, 738500+12250*x^2+7000*x*y+12250*y^2-173250*x-173250*y, -1739114789500*y-1189802770750*x+11841251000*y^2+7301482250*x^2+5063197000*x*y+71400764541000], [298/693, true, 120*y+1080*x-120*y^2-360*x^2+180*x*y, 1476726064*y+16022452336*x-202080784*y^2-532665472*x^2+337037656*x*y-1274645280], [3875/9009, true, 1248-352*x^2+448*x*y+32*y^2+640*x-1280*y, -13725771840*y+8745390720*x-64281384*y^2-472847976*x^2+627681744*x*y+158161057704], [1292/3003, true, 4968-324*x^2+876*x*y-36*y^2-684*x-2412*y, -23339074836*y-8547039732*x-174611668*y^2-398733412*x^2+1056468028*x*y+599259777424], [3877/9009, true, 9792-192*x^2+1152*x*y-192*y^2-2688*x-2688*y, -23338101248*y-34656731648*x-381690112*y^2-234694912*x^2+1369564672*x*y+1201116064512], [554/1287, true, 11328-16*x^2+964*x*y-256*y^2-3728*x-1808*y, -14163259968*y-60999352128*x-551356416*y^2-19128096*x^2+1424605104*x*y+1741717980288], [353/819, true, -108+216*y+216*x-108*y^2-108*x^2+108*x*y, 3249491256*y+3249491256*x-147704148*y^2-147704148*x^2+147704148*x*y-22303326348], [3884/9009, true, -200+50*y+200*x-30*y^2-60*x^2+40*x*y, 719665760*y+2816755040*x-45407776*y^2-83536672*x^2+64645888*x*y-31506894720], [185/429, true, 280-64*x^2+104*x*y-16*y^2+72*x-216*y, -2027895672*y+872382984*x-36998032*y^2-80941648*x^2+135447448*x*y+30017065240], [3886/9009, true, 1404-54*x^2+216*x*y-54*y^2-378*x-378*y, -2704712472*y-4816435932*x-93300336*y^2-65875356*x^2+256852944*x*y+160033013496], [299/693, true, 2860-12*x^2+292*x*y-108*y^2-1072*x-304*y, 168826064*y-15206504368*x-192457732*y^2-17738068*x^2+381078508*x*y+358417996860], [432/1001, true, 3352+32*x^2+248*x*y-118*y^2-1404*x-54*y, 7769090736*y-31237107264*x-329462608*y^2+64539392*x^2+501973888*x*y+630502837312], [556/1287, true, 80-32*x^2+52*x*y-8*y^2+24*x-72*y, -897075344*y+385913968*x-24550096*y^2-53708944*x^2+89876344*x*y+12889396800], [118/273, true, -32+12*y+12*x-4*y^2-4*x^2+4*x*y, 180527292*y+180527292*x-5470524*y^2-5470524*x^2+5470524*x*y-5350172472], [3896/9009, true, 224-8*x^2+52*x*y-32*y^2-144*x+48*y, 1495009472*y-1609934656*x-47391808*y^2-12108352*x^2+60806128*x*y+8635209216], [433/1001, true, 760+8*x^2+112*x*y-88*y^2-576*x+288*y, 7623909216*y-6634770912*x-145731096*y^2-1704024*x^2+137443824*x*y+4586735160], [3898/9009, true, 1808+52*x^2+196*x*y-188*y^2-1500*x+900*y, 26275027900*y-18078080900*x-371243308*y^2+31966772*x^2+264758836*x*y-106704986472], [557/1287, true, 3608+136*x^2+304*x*y-344*y^2-3168*x+2112*y, 72916249472*y-39390491008*x-832679824*y^2+95475056*x^2+460132384*x*y-596540268912], [3901/9009, true, -180+12*x^2-36*x*y-36*y^2+24*x+216*y, 1122622072*y-54251912*x-13868572*y^2+12878564*x^2-23291132*x*y-10373169780], [3902/9009, true, -60+2*x^2-8*x*y-4*y^2+10*x+40*y, 202482720*y+40819680*x-1367712*y^2+1571616*x^2-4627584*x*y-3287113920], [355/819, true, -60+16*y+16*x-4*y^2-4*x^2+4*x*y, 240703056*y+240703056*x-5470524*y^2-5470524*x^2+5470524*x*y-9983706300], [62/143, true, -540-18*x^2+24*x*y-36*y^2+54*x+216*y, 3332602152*y+1523316168*x-48786952*y^2-30511336*x^2+30248608*x*y-108856790000], [3907/9009, true, -2520-48*x^2+72*x*y-144*y^2+120*x+1080*y, 17599267840*y+7706997760*x-205514752*y^2-115585024*x^2+91042816*x*y-603844224000], [3908/9009, true, -8160-100*x^2+160*x*y-400*y^2+220*x+3520*y, 61124197860*y+30083450760*x-610256700*y^2-353721600*x^2+210196080*x*y-2290354364880], [1303/3003, true, -21060-180*x^2+300*x*y-900*y^2+360*x+9000*y, 166784593800*y+94548491400*x-1473403900*y^2-926160700*x^2+419768500*x*y-6848120245700], [3910/9009, true, -864-216*x^2-108*x*y-216*y^2+1080*x+1080*y, 8915203440*y+5612658480*x-171192528*y^2-96134688*x^2-62851464*x*y-76920790752], [3911/9009, true, -656-48*x^2-32*x*y-48*y^2+320*x+320*y, 2798412320*y+2070960320*x-40498168*y^2-27271768*x^2-20764112*x*y-56598799656], [1304/3003, true, -104-4*x^2-4*x*y-4*y^2+36*x+36*y, 329449164*y+282927084*x-3517636*y^2-2812756*x^2-2948036*x*y-9789934496], [356/819, true, -2376+540*y+540*x-108*y^2-108*x^2+108*x*y, 8123728140*y+8123728140*x-147704148*y^2-147704148*x^2+147704148*x*y-397619566416], [3917/9009, true, -13184-384*x^2+256*x*y-384*y^2+2816*x+2816*y, 40529354624*y+47674588544*x-541201216*y^2-600252736*x^2+412495744*x*y-2295578227776], [1306/3003, true, -44000-1000*x^2+500*x*y-1000*y^2+9000*x+9000*y, 131340198000*y+171197598000*x-1469002000*y^2-1770952000*x^2+948001000*x*y-8240384348000], [1307/3003, true, -1592-64*x^2-104*x*y-16*y^2+696*x+408*y, 3273198984*y+6280131528*x-11503728*y^2-57063312*x^2-76180392*x*y-150353999496], [3922/9009, true, -148-2*x^2-8*x*y-2*y^2+42*x+42*y, 422595712*y+462997612*x-1493752*y^2-2018452*x^2-7989008*x*y-17114326248], [3923/9009, true, 188+4*x^2+4*x*y+4*y^2-48*x-48*y, -449136688*y-385713328*x+3596684*y^2+2875964*x^2+3014284*x*y+18045364428], [436/1001, true, 1000+20*x^2+40*x*y-10*y^2-360*x-90*y, -319134816*y-3301817904*x-11725344*y^2+18402768*x^2+29897856*x*y+88488443520], [3925/9009, true, 1328-32*x^2+208*x*y-128*y^2-720*x+240*y, 6209111920*y-6686422160*x-157463104*y^2-40230976*x^2+202033264*x*y+33416550384], [302/693, true, -6292+2178*y+726*x-506*y^2-374*x^2+616*x*y, 36086060384*y+13690204748*x-658591528*y^2-473501812*x^2+720719248*x*y-1254093913656], [17/39, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [1310/3003, true, -10800-324*x^2-876*x*y-36*y^2+4572*x+2844*y, 22201750428*y+43310362524*x+14743508*y^2-305083948*x^2-702267332*x*y-1029506140520], [3931/9009, true, -2376-24*x^2-144*x*y-24*y^2+672*x+672*y, 6494295808*y+7382222848*x-12640576*y^2-24172096*x^2-143401856*x*y-268167766464], [3932/9009, true, 1440+8*x^2+52*x*y+32*y^2-272*x-464*y, -4045035456*y-2234409408*x+22776768*y^2+2201472*x^2+46379088*x*y+136316839680], [437/1001, true, 3672+72*x^2+48*x*y+72*y^2-864*x-864*y, -8535995424*y-6317049024*x+68628632*y^2+46215032*x^2+35187088*x*y+350065029832], [562/1287, true, 7200+180*x^2+180*x*y-60*y^2-2700*x-300*y, 993168220*y-21278442020*x-60901276*y^2+141567908*x^2+103744948*x*y+535790763240], [3935/9009, true, 7560+56*x^2+784*x*y-616*y^2-4928*x+2464*y, 45259397568*y-39387370176*x-707836752*y^2-8276688*x^2+667584288*x*y-36441846000], [1312/3003, true, -14256+10152*y-2808*x-1944*y^2-864*x^2+2196*x*y, 164158479408*y-2620563792*x-2394038416*y^2-1130560816*x^2+2300827144*x*y-4165620698624], [3940/9009, true, -13392-108*x^2-864*x*y-108*y^2+3780*x+3780*y, 35364912660*y+41033223000*x-33857676*y^2-107472096*x^2-850853808*x*y-1474154884944], [563/1287, true, 6484+12*x^2+292*x*y+108*y^2-1264*x-2032*y, -16124844208*y-10414638256*x+61995092*y^2-2893612*x^2+242483548*x*y+579136363476], [3943/9009, true, 24408+432*x^2+216*x*y+432*y^2-5400*x-5400*y, -54862790400*y-34539436800*x+421396992*y^2+236639232*x^2+154711296*x*y+2254534933248], [3944/9009, true, 32368+816*x^2+544*x*y-204*y^2-11968*x-748*y, 9070161452*y-80298383968*x-192760564*y^2+545822456*x^2+235601104*x*y+1997056671408], [1315/3003, true, 27148+572*x^2+2156*x*y-2068*y^2-19800*x+11880*y, 194580372360*y-133877677560*x-2291042956*y^2+197275604*x^2+1633898452*x*y-1270590864404], [3950/9009, true, 19520+16*x^2+964*x*y+256*y^2-3984*x-5904*y, -44022409024*y-32275338304*x+119941376*y^2-13548064*x^2+760626544*x*y+1669682340480], [439/1001, true, 60640+32*x^2+1984*x*y+1184*y^2-9216*x-19584*y, -185914463328*y-80283832992*x+874588968*y^2-192387096*x^2+2006669808*x*y+6330873229560], [304/693, true, 83720-25620*y-12180*x+1876*y^2+532*x^2+1372*x*y, -263678888660*y-80889438740*x+1643476028*y^2-18246244*x^2+1507209556*x*y+8695821141120], [3953/9009, true, 100160+1600*x^2+640*x*y+1600*y^2-21120*x-21120*y, -218236839040*y-114124954240*x+1575435200*y^2+715006400*x^2+456350080*x*y+8857721622720], [1318/3003, true, 108160+2600*x^2+1300*x*y-520*y^2-39000*x-1560*y, 35845642800*y-217387962000*x-474152400*y^2+1444284000*x^2+405189000*x*y+5337664063200], [40/91, true, 173016-216*x^2+6552*x*y+2754*y^2-27540*x-54270*y, -500416907760*y-254183640480*x+1823358992*y^2-663845728*x^2+6462714496*x*y+18062305457728], [3961/9009, true, 248544+192*x^2+6048*x*y+4992*y^2-32160*x-80160*y, -802513207760*y-253047367760*x+4000232192*y^2-994911808*x^2+6590684848*x*y+26881712195184], [566/1287, true, 290076+1886*x^2+3496*x*y+6026*y^2-39974*x-85514*y, -900901150776*y-219132025596*x+5426326944*y^2-208128636*x^2+4038274224*x*y+29917022673384], [1321/3003, true, 310500+4500*x^2+1500*x*y+4500*y^2-63000*x-63000*y, -658333203000*y-275440803000*x+4442319500*y^2+1541619500*x^2+1090106500*x*y+26083618430500], [305/693, true, 3264-144*x^2+384*x*y+576*y^2-240*x-3840*y, -42885324790*y+8403224060*x+485077046*y^2-447442024*x^2+589312264*x*y+398606033184], [1322/3003, true, 10240-256*x^2+1024*x*y+512*y^2-1536*x-6144*y, -63174608640*y-12735740160*x+355605120*y^2-408620160*x^2+1203171840*x*y+1191894912000], [3967/9009, true, 14400-144*x^2+1152*x*y+192*y^2-3024*x-5376*y, -51369170930*y-32671428020*x+55623110*y^2-187204720*x^2+1223017960*x*y+1613229422400], [63/143, true, -65600-400*x^2-3200*x*y+320*y^2+18000*x+11520*y, 67560529410*y+145836474300*x+457502310*y^2-333163800*x^2-2279863800*x*y-5193664336800], [3973/9009, true, -144*x^2+216*x*y-432*y^2+144*x+1296*y, 17186785000*y+7526365000*x-501745000*y^2-282190000*x^2+222272500*x*y-47044650000], [1325/3003, true, 1440-36*x^2+108*x*y+108*y^2-108*x-972*y, -10569367380*y+510775980*x+87047420*y^2-80833540*x^2+146189020*x*y+157311947800], [568/1287, true, 2808-36*x^2+216*x*y+54*y^2-504*x-1134*y, -11052272924*y-5261315444*x+26378204*y^2-48829036*x^2+234315616*x*y+312126950928], [34/77, true, -18000-144*x^2-864*x*y+108*y^2+5184*x+2916*y, 16445981970*y+42034085280*x+139060310*y^2-119405380*x^2-610362680*x*y-1425282303800], [3979/9009, true, -73440-900*x^2-2700*x*y+540*y^2+22500*x+8100*y, 34629974500*y+171555686500*x+552233300*y^2-692545900*x^2-1734102500*x*y-5427493565400], [362/819, true, 512*y+512*x-256*y^2-256*x^2+256*x*y, 7702497792*y+7702497792*x-350113536*y^2-350113536*x^2+350113536*x*y-14004541440], [569/1287, true, -240-36*x^2+48*x*y-72*y^2+60*x+240*y, 3302438150*y+1509528350*x-87021670*y^2-54423310*x^2+53954680*x*y-45960144300], [3985/9009, true, 240-4*x^2+16*x*y+8*y^2-28*x-112*y, -1151620470*y-232161930*x+5556330*y^2-6384690*x^2+18799560*x*y+26400991500], [443/1001, true, -3120-36*x^2-144*x*y+24*y^2+972*x+432*y, 2162870622*y+7691204862*x+26941514*y^2-28900246*x^2-97577384*x*y-240504528860], [3988/9009, true, -15360-256*x^2-512*x*y+128*y^2+5120*x+1280*y, 3459456000*y+35792064000*x+114393600*y^2-179539200*x^2-291686400*x*y-1035313920000], [3989/9009, true, -48720-900*x^2-1200*x*y+360*y^2+16500*x+2640*y, 668855330*y+99964071350*x+275658170*y^2-544963450*x^2-562371800*x*y-2818459749540], [307/693, true, -144*x^2+72*x*y-48*y^2+432*x+48*y, -642169200+743977960*y+8072148040*x-101808760*y^2-268358080*x^2+169800340*x*y], [3992/9009, true, -120-36*x^2+24*x*y-18*y^2+120*x+30*y, 490070900*y+1918126100*x-30921340*y^2-56885980*x^2+44021920*x*y-21455254800], [121/273, true, -32+12*y+12*x-4*y^2-4*x^2+4*x*y, 180527292*y+180527292*x-5470524*y^2-5470524*x^2+5470524*x*y-5350172472], [444/1001, true, -200-4*x^2-8*x*y+2*y^2+72*x+18*y, 48648600*y+503325900*x+1787400*y^2-2805300*x^2-4557600*x*y-13489092000], [571/1287, true, -1440-36*x^2-36*x*y+12*y^2+540*x+60*y, -130945100*y+2805474100*x+8029580*y^2-18665140*x^2-13678340*x*y-70641784200], [3998/9009, true, -5712-144*x^2-96*x*y+36*y^2+2112*x+132*y, -878975218*y+7781591312*x+18680126*y^2-52894804*x^2-22831736*x*y-193531651272], [1333/3003, true, -16640-400*x^2-200*x*y+80*y^2+6000*x+240*y, -2417496840*y+14661048600*x+31977720*y^2-97405200*x^2-27326700*x*y-359981994960], [4010/9009, true, -816-144*x^2-96*x*y+36*y^2+960*x+60*y, -399534190*y+3537086960*x+18680126*y^2-52894804*x^2-22831736*x*y-27868865016], [191/429, true, -480-36*x^2-36*x*y+12*y^2+324*x+36*y, -78567060*y+1683284460*x+8029580*y^2-18665140*x^2-13678340*x*y-23570073800], [4012/9009, true, -120-4*x^2-8*x*y+2*y^2+56*x+14*y, 37837800*y+391475700*x+1787400*y^2-2805300*x^2-4557600*x*y-8092008000], [365/819, true, -96+20*y+20*x-4*y^2-4*x^2+4*x*y, 300878820*y+300878820*x-5470524*y^2-5470524*x^2+5470524*x*y-15941106936], [4016/9009, true, -840-36*x^2+24*x*y-18*y^2+264*x+66*y, 1078155980*y+4219877420*x-30921340*y^2-56885980*x^2+44021920*x*y-148608056400], [103/231, true, -3840-144*x^2+72*x*y-48*y^2+1296*x+144*y, 2231933880*y+24216444120*x-101808760*y^2-268358080*x^2+169800340*x*y-776461257200], [574/1287, true, -12240-400*x^2+160*x*y-100*y^2+4160*x+260*y, 3142985274*y+90594751104*x-258958890*y^2-870509700*x^2+473959944*x*y-2856345543576], [1340/3003, true, -5120-256*x^2-512*x*y+128*y^2+3072*x+768*y, 2075673600*y+21475238400*x+114393600*y^2-179539200*x^2-291686400*x*y-344487168000], [4021/9009, true, -1872-36*x^2-144*x*y+24*y^2+756*x+336*y, 1682232706*y+5982048226*x+26941514*y^2-28900246*x^2-97577384*x*y-144153568572], [447/1001, true, 400-4*x^2+16*x*y+8*y^2-36*x-144*y, -1480654890*y-298493910*x+5556330*y^2-6384690*x^2+18799560*x*y+43797113100], [575/1287, true, -1680-36*x^2+48*x*y-72*y^2+132*x+528*y, 7265363930*y+3320962370*x-87021670*y^2-54423310*x^2+53954680*x*y-300031975500], [122/273, true, -8192-256*x^2+256*x*y-256*y^2+1536*x+1536*y, 23107493376*y+23107493376*x-350113536*y^2-350113536*x^2+350113536*x*y-1369644152832], [4027/9009, true, -28080-900*x^2+720*x*y-600*y^2+7020*x+3120*y, 49688805166*y+105219380266*x-922270630*y^2-1310596330*x^2+1149592936*x*y-4753274723844], [310/693, true, -10800-144*x^2-864*x*y+108*y^2+4032*x+2268*y, 12791319310*y+32693177440*x+139060310*y^2-119405380*x^2-610362680*x*y-853477201800], [64/143, true, 4680-36*x^2+216*x*y+54*y^2-648*x-1458*y, -14210065188*y-6764548428*x+26378204*y^2-48829036*x^2+234315616*x*y+517212061840], [4033/9009, true, 4320-36*x^2+108*x*y+108*y^2-180*x-1620*y, -17615612300*y+851293300*x+87047420*y^2-80833540*x^2+146189020*x*y+452363962200], [1345/3003, true, -11520-144*x^2+216*x*y-432*y^2+432*x+3888*y, 51560355000*y+22579095000*x-501745000*y^2-282190000*x^2+222272500*x*y-2221801850000], [4036/9009, true, -42120-900*x^2+1080*x*y-1350*y^2+4680*x+10530*y, 149813943136*y+85584637996*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-7328154966144], [449/1001, true, 24000-144*x^2+1152*x*y+192*y^2-3888*x-6912*y, -66046076910*y-42006121740*x+55623110*y^2-187204720*x^2+1223017960*x*y+2669739809200], [4042/9009, true, 30720-256*x^2+1024*x*y+512*y^2-2560*x-10240*y, -105291014400*y-21226233600*x+355605120*y^2-408620160*x^2+1203171840*x*y+3418598476800], [311/693, true, 22848-144*x^2+384*x*y+576*y^2-528*x-8448*y, -94347714538*y+18487092932*x+485077046*y^2-447442024*x^2+589312264*x*y+2219260951728], [4045/9009, true, -48960-400*x^2+640*x*y-1600*y^2+1040*x+16640*y, 216398988234*y+106504928244*x-1828116810*y^2-1059626880*x^2+629674344*x*y-10139821722576], [450/1001, true, 82000-400*x^2+4000*x*y+500*y^2-14400*x-22500*y, -213915031110*y-158593794480*x+44684190*y^2-514116180*x^2+4232147400*x*y+9223495871400], [4051/9009, true, 122400-900*x^2+4500*x*y+1500*y^2-13500*x-37500*y, -372998803100*y-134325167900*x+884382260*y^2-1285378060*x^2+5013031900*x*y+13744242081000], [4052/9009, true, 121800-900*x^2+3000*x*y+2250*y^2-6600*x-41250*y, -438727191760*y-23274454060*x+1728484160*y^2-1705009540*x^2+3794720800*x*y+13491098331360], [193/429, true, 83200-400*x^2+1000*x*y+2000*y^2-1200*x-30000*y, -340185475080*y+107009135640*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+7363980041040], [4055/9009, true, 8000+1600*x^2+640*x*y+1600*y^2-9600*x-9600*y, -99198563200*y-51874979200*x+1575435200*y^2+715006400*x^2+456350080*x*y+881038584000], [104/231, true, 23240+532*x^2+1372*x*y+1876*y^2-7308*x-15372*y, -158207333196*y-48533663244*x+1643476028*y^2-18246244*x^2+1507209556*x*y+2631418578880], [4057/9009, true, 35040+32*x^2+1984*x*y+1184*y^2-7168*x-15232*y, -144600138144*y-62442981216*x+874588968*y^2-192387096*x^2+2006669808*x*y+3728045443320], [4058/9009, true, 19520+16*x^2+964*x*y+256*y^2-3984*x-5904*y, -44022409024*y-32275338304*x+119941376*y^2-13548064*x^2+760626544*x*y+1669682340480], [41/91, true, -78400-320*x^2-3200*x*y-320*y^2+17280*x+17280*y, 157113792000*y+184713408000*x-34528000*y^2-313312000*x^2-3104960000*x*y-8460856160000], [4064/9009, true, 4624+816*x^2+544*x*y-204*y^2-5440*x-340*y, 4122800660*y-36499265440*x-192760564*y^2+545822456*x^2+235601104*x*y+287579331024], [1355/3003, true, 7128+432*x^2+216*x*y+432*y^2-3240*x-3240*y, -32917674240*y-20723662080*x+421396992*y^2+236639232*x^2+154711296*x*y+681055734528], [581/1287, true, 6484+12*x^2+292*x*y+108*y^2-1264*x-2032*y, -16124844208*y-10414638256*x+61995092*y^2-2893612*x^2+242483548*x*y+579136363476], [452/1001, true, -22032-108*x^2-864*x*y-108*y^2+4860*x+4860*y, 45469173420*y+52757001000*x-33857676*y^2-107472096*x^2-850853808*x*y-2434588590384], [313/693, true, 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true, -115800-1480*x^2-2480*x*y-40*y^2+29920*x+14080*y, 97699295232*y+256678728768*x+45733464*y^2-1268146152*x^2-1706331312*x*y-10193758205400], [314/693, true, 44-374*x^2+616*x*y-506*y^2+330*x+990*y, 16402754720*y+6222820340*x-658591528*y^2-473501812*x^2+720719248*x*y-59463550488], [1361/3003, true, 560-32*x^2+208*x*y-128*y^2-432*x+144*y, 3725467152*y-4011853296*x-157463104*y^2-40230976*x^2+202033264*x*y+25015890160], [4084/9009, true, 600+20*x^2+40*x*y-10*y^2-280*x-70*y, -248215968*y-2568080592*x-11725344*y^2+18402768*x^2+29897856*x*y+53083572480], [4085/9009, true, 188+4*x^2+4*x*y+4*y^2-48*x-48*y, -449136688*y-385713328*x+3596684*y^2+2875964*x^2+3014284*x*y+18045364428], [454/1001, true, -244-2*x^2-8*x*y-2*y^2+54*x+54*y, 543337344*y+595282644*x-1493752*y^2-2018452*x^2-7989008*x*y-28247499464], [4087/9009, true, -4536-64*x^2-104*x*y-16*y^2+1160*x+680*y, 5455331640*y+10466885880*x-11503728*y^2-57063312*x^2-76180392*x*y-430585027848], [1363/3003, true, 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true, -100*x^2+160*x*y-400*y^2+100*x+1600*y, 27783726300*y+13674295800*x-610256700*y^2-353721600*x^2+210196080*x*y-101370798000], [1367/3003, true, -600+648*y+72*x-144*y^2-48*x^2+72*x*y, 10559560704*y+4624198656*x-205514752*y^2-115585024*x^2+91042816*x*y-158453949440], [586/1287, true, -300-18*x^2+24*x*y-36*y^2+42*x+168*y, 2592023896*y+1184801464*x-48786952*y^2-30511336*x^2+30248608*x*y-61376699760], [373/819, true, -60+16*y+16*x-4*y^2-4*x^2+4*x*y, 240703056*y+240703056*x-5470524*y^2-5470524*x^2+5470524*x*y-9983706300], [4106/9009, true, -300+2*x^2-8*x*y-4*y^2+22*x+88*y, 445461984*y+89803296*x-1367712*y^2+1571616*x^2-4627584*x*y-16133480640], [1369/3003, true, -2100+12*x^2-36*x*y-36*y^2+72*x+648*y, 3367866216*y-162755736*x-13868572*y^2+12878564*x^2-23291132*x*y-104389743860], [316/693, true, -8160+36*x^2-96*x*y-144*y^2+156*x+2496*y, 11084429356*y-2171953784*x-48221644*y^2+44480336*x^2-58583696*x*y-311113254000], [1370/3003, true, 848+52*x^2+196*x*y-188*y^2-900*x+540*y, 15765016740*y-10846848540*x-371243308*y^2+31966772*x^2+264758836*x*y+37561280728], [4111/9009, true, 504+8*x^2+112*x*y-88*y^2-448*x+224*y, 5929707168*y-5160377376*x-145731096*y^2-1704024*x^2+137443824*x*y+14258309688], [4112/9009, true, 224-8*x^2+52*x*y-32*y^2-144*x+48*y, 1495009472*y-1609934656*x-47391808*y^2-12108352*x^2+60806128*x*y+8635209216], [374/819, true, -96+20*y+20*x-4*y^2-4*x^2+4*x*y, 300878820*y+300878820*x-5470524*y^2-5470524*x^2+5470524*x*y-15941106936], [196/429, true, 464-32*x^2+52*x*y-8*y^2+72*x-216*y, -2691226032*y+1157741904*x-24550096*y^2-53708944*x^2+89876344*x*y+57871597888], [4117/9009, true, 1464-88*x^2+112*x*y+8*y^2+416*x-832*y, -14890981248*y+9487805184*x-26822448*y^2-197303472*x^2+261910368*x*y+230584316976], [4120/9009, true, 2056+32*x^2+248*x*y-118*y^2-1092*x-42*y, 6042626128*y-24295527872*x-329462608*y^2+64539392*x^2+501973888*x*y+401037786816], [317/693, true, 2860-12*x^2+292*x*y-108*y^2-1072*x-304*y, 168826064*y-15206504368*x-192457732*y^2-17738068*x^2+381078508*x*y+358417996860], [458/1001, true, 2268-54*x^2+216*x*y-54*y^2-486*x-486*y, -3477487464*y-6192560484*x-93300336*y^2-65875356*x^2+256852944*x*y+254584593432], [589/1287, true, 664-64*x^2+104*x*y-16*y^2+120*x-360*y, -3379826120*y+1453971640*x-36998032*y^2-80941648*x^2+135447448*x*y+63912104088], [4124/9009, true, -1400+110*y+440*x-30*y^2-60*x^2+40*x*y, 1583264672*y+6196861088*x-45407776*y^2-83536672*x^2+64645888*x*y-218229912960], [125/273, true, -3564+648*y+648*x-108*y^2-108*x^2+108*x*y, 9748473768*y+9748473768*x-147704148*y^2-147704148*x^2+147704148*x*y-594213787404], [4126/9009, true, -6020-322*x^2+392*x*y-238*y^2+1638*x+546*y, 13203557224*y+23476447852*x-371718832*y^2-443557228*x^2+558772528*x*y-1136376577560], [590/1287, true, 11328-16*x^2+964*x*y-256*y^2-3728*x-1808*y, -14163259968*y-60999352128*x-551356416*y^2-19128096*x^2+1424605104*x*y+1741717980288], [459/1001, true, 15936-192*x^2+1152*x*y-192*y^2-3456*x-3456*y, -30006130176*y-44558654976*x-381690112*y^2-234694912*x^2+1369564672*x*y+1930193963776], [4132/9009, true, 13224-324*x^2+876*x*y-36*y^2-1140*x-4020*y, -38898458060*y-14245066220*x-174611668*y^2-398733412*x^2+1056468028*x*y+1534585804752], [4133/9009, true, 4320-352*x^2+448*x*y+32*y^2+1408*x-2816*y, -30196698048*y+19239859584*x-64281384*y^2-472847976*x^2+627681744*x*y+421125180840], [106/231, true, -9600+360*y+3240*x-120*y^2-360*x^2+180*x*y, 4430178192*y+48067357008*x-202080784*y^2-532665472*x^2+337037656*x*y-1541202344480], [4135/9009, true, -28992-576*x^2+384*x*y-576*y^2+4992*x+4992*y, 66399828352*y+78105968512*x-750248896*y^2-832110016*x^2+571828864*x*y-4649571893952], [460/1001, true, 62000-500*x^2+4000*x*y-500*y^2-13500*x-13500*y, -125642830500*y-176240493000*x-1128581500*y^2-617494000*x^2+4795402000*x*y+7790974426000], [4141/9009, true, 70224-1024*x^2+3856*x*y-64*y^2-9040*x-18640*y, -179827405560*y-110139087960*x-613992096*y^2-1247522256*x^2+4497573384*x*y+8288557606296], [4142/9009, true, 54692-1298*x^2+2728*x*y+352*y^2-726*x-18876*y, -195342295456*y-3962306656*x-99829408*y^2-1681482208*x^2+3428457088*x*y+6353453303232], [1381/3003, true, 17276-1316*x^2+1372*x*y+364*y^2+7560*x-12600*y, -141439867800*y+112783578600*x+30261812*y^2-1895673388*x^2+2082504676*x*y+1474038491548], [592/1287, true, -41616+884*y+14144*x-340*y^2-1360*x^2+544*x*y, 7758833940*y+223643946240*x-639270900*y^2-2148957000*x^2+1170026640*x*y-7051229584560], [1382/3003, true, 55296+4608*x^2+3072*x*y+4608*y^2-36864*x-36864*y, -364202471424*y-269527425024*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+5964301305856], [29/63, true, 83520+1824*x^2+3456*x*y+3936*y^2-24864*x-39648*y, -385603016876*y-191702056238*x+3367791392*y^2+849597098*x^2+3280079992*x*y+8979658351020], [4148/9009, true, 86016+512*x^2+3328*x*y+2048*y^2-17408*x-29696*y, -258882269184*y-143002202112*x+1457713152*y^2+140894208*x^2+2968261632*x*y+8372735852544], [1385/3003, true, 36520+2948*x^2+2156*x*y+836*y^2-24156*x-11484*y, -96395317788*y-194421531612*x+858195212*y^2+2343440876*x^2+1204679812*x*y+3291108009280], [4156/9009, true, 36180+1350*x^2+1080*x*y+1350*y^2-13230*x-13230*y, -127864238040*y-102023411490*x+1258764300*y^2+923169150*x^2+803620440*x*y+3600548612640], [4157/9009, true, 32128+384*x^2+976*x*y+864*y^2-6976*x-10816*y, -99405468976*y-55710892336*x+690788264*y^2+194258984*x^2+877638676*x*y+3182305389648], [6/13, true, 7840+38*x^2+248*x*y+104*y^2-1458*x-2052*y, -4739161086*y-3453348294*x+18873662*y^2+5885654*x^2+57993304*x*y+202530696580], [4159/9009, true, -96120-540*x^2-2700*x*y-540*y^2+18900*x+18900*y, 186108961500*y+208337629500*x-343431900*y^2-545510700*x^2-2696935500*x*y-10936365854400], [1388/3003, true, 25600+1280*x^2+2560*x*y-640*y^2-15360*x-3840*y, -13616418816*y-140877563904*x-750422016*y^2+1177777152*x^2+1913462784*x*y+2259835822080], [4166/9009, true, 11264+256*x^2+256*x*y+256*y^2-3072*x-3072*y, -28744748032*y-24685652992*x+230187776*y^2+184061696*x^2+192914176*x*y+1093206825984], [463/1001, true, 4216+32*x^2+112*x*y+68*y^2-792*x-1116*y, -8074053108*y-5509673136*x+41821164*y^2+15918336*x^2+79469856*x*y+332944474248], [4168/9009, true, -19456-128*x^2-512*x*y-128*y^2+3840*x+3840*y, 38637322240*y+42331210240*x-95600128*y^2-129180928*x^2-511296512*x*y-2243698262016], [379/819, true, -117400-1040*x^2-2480*x*y-380*y^2+25080*x+17820*y, 153245471984*y+244802981456*x-236922736*y^2-993596368*x^2-2059137536*x*y-11876315245440], [107/231, true, 14904-108*x^2+2628*x*y-972*y^2-7236*x-2052*y, 831680916*y-74911178892*x-1264128844*y^2-116509756*x^2+2503055236*x*y+1403526282928], [4174/9009, true, 12168+234*x^2+936*x*y-156*y^2-4914*x-2184*y, -13747162814*y-48885145694*x-220165366*y^2+236172074*x^2+797399896*x*y+1178019289668], [4175/9009, true, 5760+128*x^2+208*x*y+32*y^2-1856*x-1088*y, -8939704752*y-17152187184*x+23564088*y^2+116887752*x^2+156046932*x*y+559117652400], [464/1001, true, 1188+18*x^2+24*x*y+18*y^2-270*x-270*y, -2396966220*y-2216529810*x+15153008*y^2+13330418*x^2+18117544*x*y+112115147368], [4177/9009, true, -1512-12*x^2-36*x*y-12*y^2+300*x+300*y, 3098217100*y+3284653900*x-10307524*y^2-12002404*x^2-35716172*x*y-176468640624], [4178/9009, true, -22176-238*x^2-392*x*y-112*y^2+4774*x+3388*y, 29787127326*y+44658106218*x-93409794*y^2-216310446*x^2-305529624*x*y-2216980681092], [199/429, true, -114912-1296*x^2-1464*x*y-576*y^2+24336*x+15696*y, 133374341496*y+208049740536*x-513981616*y^2-1079704336*x^2-992860124*x*y-10770915530672], [4183/9009, true, 5616-216*x^2+864*x*y-216*y^2-1512*x-1512*y, -9751200228*y-17364519018*x-336372264*y^2-237497994*x^2+926022456*x*y+576961127604], [465/1001, true, 976+8*x^2+32*x*y+8*y^2-216*x-216*y, -1993945536*y-2184574986*x+5481788*y^2+7407338*x^2+29318152*x*y+103662993316], [4187/9009, true, -2384-24*x^2-32*x*y-24*y^2+440*x+440*y, 4088108420*y+3780367910*x-21145072*y^2-18601762*x^2-25281896*x*y-235134417612], [1396/3003, true, 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true, -364-2*x^2-8*x*y-2*y^2+66*x+66*y, 382158656*y+418694606*x-859612*y^2-1161562*x^2-4597448*x*y-24264169104], [1399/3003, true, -6560-16*x^2-104*x*y-64*y^2+816*x+1392*y, 11485011384*y+6344126712*x-43113168*y^2-4167072*x^2-87788988*x*y-584895835440], [200/429, true, -1152*x^2+1536*x*y-2304*y^2+2304*x+9216*y, 142191025152*y+64994823168*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-518806261760], [4201/9009, true, -4680+3780*y+1680*x-900*y^2-600*x^2+720*x*y, 57263520160*y+32713094260*x-1207562800*y^2-888726100*x^2+927761440*x*y-960190413960], [382/819, true, -3072+1024*y+1024*x-256*y^2-256*x^2+256*x*y, 15404995584*y+15404995584*x-350113536*y^2-350113536*x^2+350113536*x*y-522369395712], [467/1001, true, -1080-72*x^2+48*x*y-36*y^2+432*x+108*y, 1578162564*y+6176891556*x-55319548*y^2-101771356*x^2+78757024*x*y-171081925280], [4205/9009, true, 600+8*x^2+16*x*y-4*y^2-176*x-44*y, -197405208*y-2042384652*x-5934168*y^2+9313596*x^2+15131232*x*y+67181684040], [601/1287, true, -6552+24*x^2-144*x*y-36*y^2+624*x+1404*y, 4693578604*y+2234327524*x-6031876*y^2+11165684*x^2-53580704*x*y-247235972112], [4211/9009, true, -896-384*x^2+976*x*y-864*y^2-832*x+3008*y, 54256749008*y-866134192*x-1186896424*y^2-560500024*x^2+1140684916*x*y-596954823696], [36/77, true, -2324-238*x^2+392*x*y-322*y^2+378*x+1134*y, 19825332912*y+7521266214*x-442229116*y^2-317945614*x^2+483946456*x*y-507859107392], [383/819, true, -2376+540*y+540*x-108*y^2-108*x^2+108*x*y, 8123728140*y+8123728140*x-147704148*y^2-147704148*x^2+147704148*x*y-397619566416], [602/1287, true, -1400-30*x^2+40*x*y-60*y^2+110*x+440*y, 6441574634*y+2944412306*x-77154646*y^2-48252478*x^2+47836984*x*y-266012601900], [1405/3003, true, 928-16*x^2+104*x*y-64*y^2-432*x+144*y, 4358434872*y-4693478856*x-92108272*y^2-23533168*x^2+118179652*x*y+22925419984], [4216/9009, true, 4644-54*x^2+216*x*y-54*y^2-702*x-702*y, -6212704212*y-11063317122*x-115397784*y^2-81477414*x^2+317686536*x*y+636480726264], [4220/9009, true, 20480-512*x^2+3328*x*y-2048*y^2-9216*x+3072*y, 95680606208*y-103035817984*x-3033075712*y^2-774934528*x^2+3891592192*x*y+1725169582080], [67/143, true, 10528-592*x^2+1984*x*y-1072*y^2-3600*x+720*y, 38938232520*y-39844352790*x-1563823692*y^2-768040002*x^2+2341016424*x*y+718634438748], [4223/9009, true, -4576-368*x^2+448*x*y-272*y^2+1584*x+528*y, 12032694476*y+21394607498*x-400347544*y^2-477718726*x^2+601807576*x*y-822769399332], [128/273, true, -8192-256*x^2+256*x*y-256*y^2+1536*x+1536*y, 23107493376*y+23107493376*x-350113536*y^2-350113536*x^2+350113536*x*y-1369644152832], [325/693, true, -6880-272*x^2+448*x*y-368*y^2+624*x+1872*y, 33198173008*y+12594608026*x-512672692*y^2-368591818*x^2+561035272*x*y-1441207249860], [470/1001, true, 66096-1242*x^2+6552*x*y-2592*y^2-18306*x-6156*y, 16231878234*y-228730038966*x-4062864442*y^2-1588501642*x^2+7797812152*x*y+7355893506676], [4231/9009, true, 45000-1500*x^2+4500*x*y-1500*y^2-7500*x-7500*y, -32700222500*y-94228722500*x-2402549500*y^2-1843199500*x^2+5399648500*x*y+4791100560000], [4232/9009, true, 18876-1474*x^2+2728*x*y-814*y^2+1210*x-6050*y, -40743083700*y+13375784070*x-1386895392*y^2-1834158762*x^2+3447230184*x*y+1738567005768], [1411/3003, true, -9504-1296*x^2+1464*x*y-576*y^2+6768*x-1872*y, -7564998408*y+87855446712*x-963230224*y^2-1686112384*x^2+2041081636*x*y-1844005870256], [4234/9009, true, -36504-1170*x^2+936*x*y-780*y^2+9126*x+4056*y, 60455425030*y+128018420530*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-5783219032020], [4237/9009, true, 197568+9408*x^2+8064*x*y+9408*y^2-94080*x-94080*y, -900823172480*y-736683516800*x+8684541248*y^2+6552857408*x^2+6028921984*x*y+20817079906368], [326/693, true, 221760+3888*x^2+6948*x*y+6912*y^2-58896*x-83088*y, -774517513792*y-466347221824*x+5752698368*y^2+2250763232*x^2+6097274032*x*y+22914355843200], [471/1001, true, 175840+1184*x^2+5056*x*y+3104*y^2-33408*x-50688*y, -403824693888*y-253963055808*x+2070020664*y^2+556266744*x^2+4018033296*x*y+15612768160200], [386/819, true, 140940+6642*x^2+5832*x*y+3078*y^2-66906*x-41958*y, -371278454624*y-560663260388*x+2954083064*y^2+5413625996*x^2+3735430096*x*y+13396580735400], [4247/9009, true, 113724+2916*x^2+2916*x*y+2916*y^2-34992*x-34992*y, -327420645552*y-281185016112*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+11281039559244], [472/1001, true, 81000+864*x^2+1944*x*y+1566*y^2-16524*x-22842*y, -198733873536*y-129886745472*x+1202857088*y^2+507431552*x^2+1609111552*x*y+7660657930240], [4255/9009, true, 113880+3848*x^2+6448*x*y+104*y^2-49504*x-23296*y, -174416191488*y-458231824512*x-128299248*y^2+3557618064*x^2+4786889184*x*y+10702353538800], [608/1287, true, 72288+1944*x^2+2196*x*y+864*y^2-24336*x-15696*y, -136198359616*y-212454907456*x+787296704*y^2+1653848384*x^2+1520823856*x*y+6910497420288], [43/91, true, 35880+600*x^2+720*x*y+600*y^2-8640*x-8640*y, -78320626560*y-70644483360*x+518923400*y^2+441386600*x^2+544388080*x*y+3452044662520], [4258/9009, true, 9360+68*x^2+196*x*y+116*y^2-1660*x-2140*y, -12428481780*y-9356884020*x+58319892*y^2+30396276*x^2+109332612*x*y+595166984280], [4259/9009, true, -59160-360*x^2-1200*x*y-360*y^2+10560*x+10560*y, 108044288000*y+116017510400*x-295744000*y^2-361638400*x^2-1194368000*x*y-6858274291200], [328/693, true, 90000+1200*x^2+7200*x*y-900*y^2-33600*x-18900*y, -134662655204*y-344182642496*x-1463979604*y^2+1257059192*x^2+6425690512*x*y+8985117435120], [4265/9009, true, 58356+972*x^2+2628*x*y+108*y^2-18288*x-11376*y, -91756700464*y-178995614512*x-45699628*y^2+945651668*x^2+2176778812*x*y+5797093694964], [474/1001, true, 23188+374*x^2+616*x*y+176*y^2-6138*x-4356*y, -37595167632*y-56364246576*x+144094032*y^2+333680688*x^2+471310272*x*y+2271523546656], [4267/9009, true, 4104+48*x^2+72*x*y+48*y^2-840*x-840*y, -7266831440*y-6892215440*x+39027488*y^2+35621888*x^2+54069232*x*y+382235051664], [388/819, true, 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138552219520*y+124972825120*x-635535400*y^2-540574600*x^2-666722480*x*y-9133405097880], [4282/9009, true, 22908-3082*x^2+5704*x*y-1702*y^2+1610*x-8050*y, -52113461400*y+17108631540*x-2787625152*y^2-3686613372*x^2+6928846704*x*y+2504339709768], [4283/9009, true, 25740-972*x^2+2628*x*y-108*y^2-2736*x-9648*y, -90819973552*y-33259327024*x-509603332*y^2-1163701588*x^2+3083296972*x*y+2943200110620], [68/143, true, 20280-156*x^2+936*x*y+234*y^2-2808*x-6318*y, -64406029248*y-30659796288*x+119557184*y^2-221313856*x^2+1062017536*x*y+2344223952640], [4285/9009, true, 9072+32*x^2+208*x*y+128*y^2-1360*x-2320*y, -24559143840*y-13566057120*x+110630016*y^2+10692864*x^2+225269856*x*y+1039549853664], [4286/9009, true, 1788+18*x^2+24*x*y+18*y^2-330*x-330*y, -3631398760*y-3358037980*x+18782816*y^2+16523636*x^2+22457488*x*y+208865994936], [1429/3003, true, -2172-12*x^2-36*x*y-12*y^2+360*x+360*y, 2466991560*y+2615444040*x-6839572*y^2-7964212*x^2-23699516*x*y-168343906172], [4288/9009, true, 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9828+54*x^2+216*x*y-36*y^2-2106*x-936*y, -8516781416*y-30285820136*x-73445656*y^2+78785384*x^2+266007136*x*y+1377968271408], [4310/9009, true, 576-3888*x^2+6948*x*y-6912*y^2+3312*x+27504*y, 454055112896*y+121563958208*x-9349328128*y^2-5571019552*x^2+8379221872*x*y-2660337703296], [479/1001, true, -21312-2496*x^2+3456*x*y-3264*y^2+6912*x+13824*y, 222429480768*y+120905319744*x-4429755688*y^2-3404259112*x^2+4365986512*x*y-4567114096664], [56/117, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [4313/9009, true, -19776-576*x^2+384*x*y-576*y^2+4224*x+4224*y, 57749981696*y+67931173376*x-771153664*y^2-855295744*x^2+587762176*x*y-3270952667904], [1438/3003, true, -9600-120*x^2+180*x*y-360*y^2+360*x+3240*y, 46363071216*y+20303122224*x-451169104*y^2-253745248*x^2+199867432*x*y-1997844223520], [4315/9009, true, 5856+32*x^2+448*x*y-352*y^2-3328*x+1664*y, 35284350816*y-30706502112*x-466934328*y^2-5459832*x^2+440381232*x*y-70522140456], [480/1001, true, 37672-4216*x^2+10744*x*y-7786*y^2-10404*x+21726*y, 447714584064*y-63602516736*x-10865816064*y^2-5700996864*x^2+12686893056*x*y+920492356608], [4321/9009, true, -3744-3264*x^2+6048*x*y-4224*y^2+2400*x+12000*y, 242986612000*y+60557965600*x-5913432832*y^2-4254990592*x^2+7408927264*x*y-3246505140192], [4322/9009, true, -28500-2250*x^2+3000*x*y-2250*y^2+8250*x+8250*y, 146662406000*y+121656243500*x-3156133000*y^2-2949470500*x^2+3888094000*x*y-5527860153000], [131/273, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [4324/9009, true, -36504-780*x^2+936*x*y-1170*y^2+4056*x+9126*y, 135603445120*y+77466566320*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-6633047892480], [4328/9009, true, 524288+16384*x^2+16384*x*y+16384*y^2-196608*x-196608*y, -1839663874048*y-1579881791488*x+14732017664*y^2+11779948544*x^2+12346507264*x*y+54170933526528], [37/77, true, 492800+6880*x^2+12160*x*y+10960*y^2-116640*x-153360*y, -1382727382146*y-926045847144*x+8892872186*y^2+4279927388*x^2+10148142136*x*y+49324190740000], [4337/9009, true, 394240+12288*x^2+12352*x*y+6912*y^2-147712*x-104704*y, -934098038896*y-1256307823408*x+6397863728*y^2+10059338552*x^2+8433773428*x*y+38021105642880], [482/1001, true, 281232+5292*x^2+6048*x*y+5292*y^2-74844*x-74844*y, -684590578254*y-609926070204*x+4629031902*y^2+3874844952*x^2+4572048888*x*y+27653441053392], [4339/9009, true, 173200+1580*x^2+3380*x*y+2540*y^2-32700*x-42300*y, -352180837580*y-251270153420*x+1882246964*y^2+964877108*x^2+2638794028*x*y+15755484839640], [4346/9009, true, 344064+8192*x^2+13312*x*y+2048*y^2-118784*x-69632*y, -572141104128*y-1097739979776*x+1508101632*y^2+7480816128*x^2+9987003648*x*y+32921967476736], [69/143, true, 198000-40392*y-55836*x+2112*y^2+3828*x^2+4752*x*y, 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-16866680050*y-16204840300*x+79589750*y^2+74120000*x^2+119608600*x*y+982179848400], [1453/3003, true, -13120-80*x^2-200*x*y-80*y^2+2160*x+2160*y, 22657740600*y+23444434200*x-73211800*y^2-79171600*x^2-196875500*x*y-1534805862800], [485/1001, true, 176256+864*x^2+6912*x*y+864*y^2-38880*x-38880*y, -351717429690*y-408090919500*x+261899082*y^2+831328272*x^2+6581604456*x*y+18832258802088], [4366/9009, true, 77824+512*x^2+2048*x*y+512*y^2-15360*x-15360*y, -141791682560*y-155347554560*x+350834432*y^2+474069632*x^2+1876361728*x*y+8233949282304], [397/819, true, 13696+96*x^2+256*x*y+96*y^2-2464*x-2464*y, -22962122326*y-23972790556*x+76870274*y^2+85222904*x^2+225798664*x*y+1430341784664], [4369/9009, true, -23936-160*x^2-256*x*y-160*y^2+3744*x+3744*y, 34941988510*y+33570883060*x-139516150*y^2-129928000*x^2-209666840*x*y-2417372656440], [4373/9009, true, 181248-4096*x^2+15424*x*y-256*y^2-28928*x-59648*y, -554172342768*y-339414541488*x-2365166736*y^2-4805596296*x^2+17325159444*x*y+20870320128768], [486/1001, true, 150000-900*x^2+7200*x*y+1200*y^2-24300*x-43200*y, -424199739546*y-269796280644*x+357255266*y^2-1202375632*x^2+7855181176*x*y+17147164293520], [625/1287, true, 91728+108*x^2+2628*x*y+972*y^2-14220*x-22860*y, 10419736079544-33221596*x^2+2783956684*x*y+711766436*y^2-149463242060*x-231411925580*y], [4376/9009, true, 34848+176*x^2+616*x*y+374*y^2-5324*x-7502*y, -77896479276*y-53155971792*x+330120252*y^2+125653248*x^2+627304608*x*y+3938660679744], [1459/3003, true, 5952+48*x^2+72*x*y+48*y^2-1008*x-1008*y, -11001644808*y-10434493608*x+49238168*y^2+44941568*x^2+68215252*x*y+698386137232], [398/819, true, -7152-36*x^2-96*x*y-36*y^2+1092*x+1092*y, 7889912602*y+8237183812*x-22349506*y^2-24777976*x^2-65649416*x*y-579614139312], [626/1287, true, 81920-36864*y+12288*x-2048*y^2-8192*x^2+13312*x*y, -340433775616*y+146451633152*x-4658294272*y^2-10191083008*x^2+17053719808*x*y+9782870630400], [487/1001, true, 87152-3068*x^2+6448*x*y+832*y^2-1404*x-36504*y, -381414586014*y-7736581314*x-238237258*y^2-4012762558*x^2+8181819688*x*y+10405866322012], [4384/9009, true, 76800-640*x^2+2560*x*y+1280*y^2-6400*x-25600*y, -280236084480*y-56494437120*x+946456704*y^2-1087558272*x^2+3202288128*x*y+9098731330560], [1462/3003, true, 26624+256*x^2+256*x*y+256*y^2-4608*x-4608*y, -51645783552*y-44352794112*x+275719424*y^2+220469504*x^2+231073024*x*y+3069419462656], [4387/9009, true, 8880+68*x^2+112*x*y+32*y^2-1612*x-1144*y, -15943945446*y-23903829378*x+42306678*y^2+97970202*x^2+138378888*x*y+1408711532940], [4391/9009, true, 1024-12288*x^2+12352*x*y-6912*y^2+48896*x+5888*y, 160101333392*y+648724700624*x-10536857968*y^2-16089396232*x^2+17435049268*x*y-1052920499904], [4393/9009, true, 19888-2068*x^2+2156*x*y+572*y^2+9900*x-16500*y, -191430981500*y+152646290500*x+49149212*y^2-3078825988*x^2+3382264876*x*y+1924740015048], [338/693, true, 32368-204*x^2+544*x*y+816*y^2-748*x-11968*y, 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8711806246*y-77125855664*x-156660934*y^2+443602436*x^2+191478424*x*y+2317719519600], [70/143, true, -32944-14036*x^2+17632*x*y-17516*y^2+46980*x+78300*y, 1225009323450*y+784458676980*x-23714848858*y^2-19264842328*x^2+22682034616*x*y-11345983633712], [401/819, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [4412/9009, true, -113344-4784*x^2+3496*x*y-4094*y^2+33396*x+25806*y, 361223519624*y+502015450904*x-5628507016*y^2-6792076696*x^2+5286377344*x*y-18596690122176], [1471/3003, true, -88000-2000*x^2+1000*x*y-2000*y^2+18000*x+18000*y, 237919539000*y+310120239000*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-14927253614000], [4414/9009, true, -41616+14144*y+884*x-1360*y^2-340*x^2+544*x*y, 199438835310*y+98157662460*x-1684839150*y^2-976579200*x^2+580323960*x*y-9345118713840], [491/1001, true, 1166400+25920*x^2+28800*x*y+25920*y^2-362880*x-362880*y, -3335937517440*y-2950270519680*x+22814317760*y^2+18918691520*x^2+21764041600*x*y+118598456382400], [492/1001, true, 911680-215784*y-283716*x+12728*y^2+20276*x^2+22496*x*y, -1925086044420*y-2429099137080*x+11492497940*y^2+16583539280*x^2+15905631280*x*y+88299024629200], [4429/9009, true, 598320+8640*x^2+10800*x*y+8640*y^2-140400*x-140400*y, -1262759949000*y-1150346399400*x+7397892000*y^2+6375950640*x^2+8163487800*x*y+58306535690760], [493/1001, true, 835240+14744*x^2+24016*x*y+5624*y^2-240768*x-158688*y, -1347867563328*y-2217938044608*x+4508350704*y^2+13296941424*x^2+18212946336*x*y+80494181211600], [634/1287, true, 450320+6604*x^2+8788*x*y+4108*y^2-109980*x-85020*y, -749245808300*y-965185558700*x+3580406420*y^2+5543495060*x^2+6461838220*x*y+43480248466200], [4439/9009, true, 189560+1960*x^2+2800*x*y+1960*y^2-36960*x-36960*y, -323296066720*y-303518258560*x+1617752120*y^2+1454299160*x^2+2108232400*x*y+17927294921640], [4448/9009, true, 151368+1496*x^2+2584*x*y+986*y^2-30668*x-25058*y, 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-278826531984*y-222476858604*x+1478032920*y^2+1083979260*x^2+943605936*x*y+16953134712696], [499/1001, true, 24640-28864*x^2+26752*x*y-11968*y^2+139392*x-12672*y, 21758647680*y+1860837390720*x-19919148480*y^2-38495701440*x^2+39398728320*x*y+1225608148800], [4492/9009, true, 8360-46740*y+80940*x-1748*y^2-14516*x^2+12844*x*y, -506869375100*y+1125899688100*x-5426962420*y^2-20270317540*x^2+20069731660*x*y-1081157893200], [4493/9009, true, 57728-5504*x^2+4864*x*y+2176*y^2+33792*x-50688*y, -609757638688*y+568430938592*x+858333416*y^2-8878762264*x^2+8361971824*x*y+4823417970168], [214/429, true, 108160-520*x^2+1300*x*y+2600*y^2-1560*x-39000*y, -478931816880*y+150653345040*x+2412221040*y^2-2357363520*x^2+2432100600*x*y+10367416009440], [4495/9009, true, 146240+1600*x^2+640*x*y+1600*y^2-24960*x-24960*y, -291418789376*y-152394784256*x+1780079360*y^2+807883520*x^2+515628544*x*y+14514727014144], [500/1001, true, -40500*x^2+36000*x*y-32400*y^2+202500*x+129600*y, 1947907267020*y+2891553766200*x-45473672380*y^2-55005455200*x^2+51595682800*x*y-7064050310000], [643/1287, true, -183600-24000*x^2+18000*x*y-14400*y^2+150000*x+54000*y, 804160607800*y+2115908311000*x-21234002080*y^2-33158981200*x^2+27846902200*x*y-30647561736120], [4502/9009, true, -182700-12250*x^2+7000*x*y-4900*y^2+96250*x+15400*y, 213548761800*y+1421518091400*x-8012935800*y^2-17996153400*x^2+12496140000*x*y-29670940947600], [1501/3003, true, -105300-4500*x^2+1500*x*y-900*y^2+45000*x+1800*y, 7227592680*y+798128423400*x-1988961340*y^2-7980634300*x^2+3868413700*x*y-19934186232980], [1502/3003, true, 900*y+22500*x-900*y^2-4500*x^2+1500*x*y, 3613796340*y+399064211700*x-1988961340*y^2-7980634300*x^2+3868413700*x*y-1624835000], [4507/9009, true, -12250*x^2+7000*x*y-4900*y^2+61250*x+9800*y, 135894666600*y+904602421800*x-8012935800*y^2-17996153400*x^2+12496140000*x*y-239737590000], [644/1287, true, -24000*x^2+18000*x*y-14400*y^2+120000*x+43200*y, 643328486240*y+1692726648800*x-21234002080*y^2-33158981200*x^2+27846902200*x*y-1738879440000], [501/1001, true, -40500*x^2+36000*x*y-32400*y^2+202500*x+129600*y, 1947907267020*y+2891553766200*x-45473672380*y^2-55005455200*x^2+51595682800*x*y-7064050310000], [4514/9009, true, 8000+1600*x^2+640*x*y+1600*y^2-9600*x-9600*y, -112084149760*y-58613378560*x+1780079360*y^2+807883520*x^2+515628544*x*y+995482771200], [215/429, true, 16900-520*x^2+1300*x*y+2600*y^2-780*x-19500*y, -239465908440*y+75326672520*x+2412221040*y^2-2357363520*x^2+2432100600*x*y+2242523831400], [4516/9009, true, 30080-5504*x^2+4864*x*y+2176*y^2+21504*x-32256*y, -388027588256*y+361728779104*x+858333416*y^2-8878762264*x^2+8361971824*x*y+4079537368440], [4517/9009, true, 39140-14516*x^2+12844*x*y-1748*y^2+64752*x-37392*y, -405495500080*y+900719750480*x-5426962420*y^2-20270317540*x^2+20069731660*x*y+5047242205500], [502/1001, true, 24640-28864*x^2+26752*x*y-11968*y^2+139392*x-12672*y, 21758647680*y+1860837390720*x-19919148480*y^2-38495701440*x^2+39398728320*x*y+1225608148800], [4523/9009, true, 13500+1350*x^2+1080*x*y+1350*y^2-9450*x-9450*y, -107240973840*y-85568022540*x+1478032920*y^2+1083979260*x^2+943605936*x*y+1682662199400], [116/231, true, 36520+836*x^2+2156*x*y+2948*y^2-11484*x-24156*y, -278837432940*y-85539663660*x+2896595420*y^2-32158660*x^2+2656428340*x*y+4637825483200], [4525/9009, true, 84100-1740*x^2+5800*x*y+4350*y^2-8120*x-50750*y, -578525837120*y-30690764720*x+3581692160*y^2-3533049040*x^2+7863260800*x*y+10723559661600], [503/1001, true, 231340-19006*x^2+27176*x*y-946*y^2+48762*x-113778*y, -1170248439888*y+633210528852*x-6538404856*y^2-24755162116*x^2+36718192336*x*y+28922210113000], [412/819, true, 9000+600*x^2+720*x*y+600*y^2-4800*x-4800*y, -53191536640*y-47978275840*x+634369280*y^2+539582720*x^2+665499136*x*y+1103997408000], [1511/3003, true, 37260+864*x^2+2196*x*y+1944*y^2-11772*x-18252*y, 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-1925086044420*y-2429099137080*x+11492497940*y^2+16583539280*x^2+15905631280*x*y+88299024629200], [510/1001, true, 1166400+25920*x^2+28800*x*y+25920*y^2-362880*x-362880*y, -3335937517440*y-2950270519680*x+22814317760*y^2+18918691520*x^2+21764041600*x*y+118598456382400], [4595/9009, true, -340*x^2+544*x*y-1360*y^2+340*x+5440*y, 76707244350*y+37752947100*x-1684839150*y^2-976579200*x^2+580323960*x*y-279871551000], [1532/3003, true, -7000-2000*x^2+1000*x*y-2000*y^2+9000*x+9000*y, 118959769500*y+155060119500*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-1363269108500], [4597/9009, true, -16468-4784*x^2+3496*x*y-4094*y^2+21252*x+16422*y, 229869512488*y+319464377848*x-5628507016*y^2-6792076696*x^2+5286377344*x*y-3058388652672], [418/819, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [73/143, true, -32944-14036*x^2+17632*x*y-17516*y^2+46980*x+78300*y, 1225009323450*y+784458676980*x-23714848858*y^2-19264842328*x^2+22682034616*x*y-11345983633712], [4604/9009, true, 3264+576*x^2+384*x*y-144*y^2-3840*x-240*y, 3350694710*y-29663790640*x-156660934*y^2+443602436*x^2+191478424*x*y+233722321944], [658/1287, true, -8160-1600*x^2+640*x*y-400*y^2+8960*x+560*y, 5133778650*y+147978230400*x-785544750*y^2-2640667500*x^2+1437744600*x*y-1446508953900], [4607/9009, true, -26880+6144*y+24576*x-2304*y^2-4608*x^2+3072*x*y, 89779914752*y+351396497408*x-3540451072*y^2-6513366784*x^2+5040449536*x*y-4366831034880], [512/1001, true, -67200+27216*y+48384*x-7056*y^2-9408*x^2+8064*x*y, 408723818382*y+685923475248*x-9997585222*y^2-12797581756*x^2+11738123608*x*y-11566928624720], [419/819, true, -147456-16384*x^2+16384*x*y-16384*y^2+81920*x+81920*y, 1232399646720*y+1232399646720*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-27986675613696], [1538/3003, true, 7128+432*x^2+216*x*y+432*y^2-3240*x-3240*y, -37546722180*y-23637927060*x+480655944*y^2+269916624*x^2+176467572*x*y+776829197196], [355/693, true, 11560-204*x^2+544*x*y+816*y^2-476*x-7616*y, -91905382646*y+18008526844*x+742531586*y^2-684921784*x^2+902089624*x*y+1306907884620], [4616/9009, true, 13948-2068*x^2+2156*x*y+572*y^2+7920*x-13200*y, -153144785200*y+122117032400*x+49149212*y^2-3078825988*x^2+3382264876*x*y+1540771574148], [4618/9009, true, -60608-12288*x^2+12352*x*y-6912*y^2+61120*x+7360*y, 200126666740*y+810905875780*x-10536857968*y^2-16089396232*x^2+17435049268*x*y-11062142670852], [4622/9009, true, 1248+68*x^2+112*x*y+32*y^2-620*x-440*y, -6132286710*y-9193780530*x+42306678*y^2+97970202*x^2+138378888*x*y+194887007532], [1541/3003, true, 5888+256*x^2+256*x*y+256*y^2-2304*x-2304*y, -25822891776*y-22176397056*x+275719424*y^2+220469504*x^2+231073024*x*y+693454665472], [4625/9009, true, 48000-640*x^2+2560*x*y+1280*y^2-5120*x-20480*y, -224188867584*y-45195549696*x+946456704*y^2-1087558272*x^2+3202288128*x*y+5765099166720], [514/1001, true, 87152-3068*x^2+6448*x*y+832*y^2-1404*x-36504*y, -381414586014*y-7736581314*x-238237258*y^2-4012762558*x^2+8181819688*x*y+10405866322012], [661/1287, true, 109568-8192*x^2+13312*x*y-2048*y^2+15360*x-46080*y, -425542219520*y+183064541440*x-4658294272*y^2-10191083008*x^2+17053719808*x*y+12183399643392], [421/819, true, -1104-36*x^2-96*x*y-36*y^2+420*x+420*y, 3034581770*y+3168147620*x-22349506*y^2-24777976*x^2-65649416*x*y-88357971624], [1544/3003, true, 1416+48*x^2+72*x*y+48*y^2-504*x-504*y, -5500822404*y-5217246804*x+49238168*y^2+44941568*x^2+68215252*x*y+167841711436], [4633/9009, true, 13860+176*x^2+616*x*y+374*y^2-3388*x-4774*y, -49570486812*y-33826527504*x+330120252*y^2+125653248*x^2+627304608*x*y+1579716560520], [662/1287, true, 58356+108*x^2+2628*x*y+972*y^2-11376*x-18288*y, -185129540464*y-119570593648*x+711766436*y^2-33221596*x^2+2783956684*x*y+6649071919908], [515/1001, true, 150000-900*x^2+7200*x*y+1200*y^2-24300*x-43200*y, -424199739546*y-269796280644*x+357255266*y^2-1202375632*x^2+7855181176*x*y+17147164293520], [4636/9009, true, 280896-4096*x^2+15424*x*y-256*y^2-36160*x-74560*y, -692715428460*y-424268176860*x-2365166736*y^2-4805596296*x^2+17325159444*x*y+31928457821436], [4640/9009, true, -3200-160*x^2-256*x*y-160*y^2+1440*x+1440*y, 13439226350*y+12911878100*x-139516150*y^2-129928000*x^2-209666840*x*y-330365184000], [422/819, true, 5632+96*x^2+256*x*y+96*y^2-1568*x-1568*y, -14612259662*y-15255412172*x+76870274*y^2+85222904*x^2+225798664*x*y+585513352788], [4643/9009, true, 50176+512*x^2+2048*x*y+512*y^2-12288*x-12288*y, -113433346048*y-124278043648*x+350834432*y^2+474069632*x^2+1876361728*x*y+5292270834816], [516/1001, true, 176256+864*x^2+6912*x*y+864*y^2-38880*x-38880*y, -351717429690*y-408090919500*x+261899082*y^2+831328272*x^2+6581604456*x*y+18832258802088], [1550/3003, true, -3400-80*x^2-200*x*y-80*y^2+1080*x+1080*y, 11328870300*y+11722217100*x-73211800*y^2-79171600*x^2-196875500*x*y-393777036500], [4651/9009, true, 4160+100*x^2+160*x*y+100*y^2-1260*x-1260*y, -10733341850*y-10312171100*x+79589750*y^2+74120000*x^2+119608600*x*y+386892482100], [4652/9009, true, 41580+812*x^2+1372*x*y+476*y^2-11984*x-9296*y, -81408883248*y-109473586992*x+393560748*y^2+712477836*x^2+1063080396*x*y+4064315062500], [47/91, true, 180320+2392*x^2+5704*x*y+874*y^2-47196*x-33534*y, -285384935088*y-455890030992*x+539262608*y^2+2261536304*x^2+4686827008*x*y+17971792549120], [358/693, true, 490304+4096*x^2+15424*x*y+256*y^2-118080*x-79680*y, -648455603180*y-1188043975580*x-803702704*y^2+4101646136*x^2+13397507284*x*y+49570532754204], [4660/9009, true, 7080+116*x^2+304*x*y+176*y^2-1876*x-2296*y, -10126838106*y-8075738286*x+67903326*y^2+41265666*x^2+127228104*x*y+346756075740], [4661/9009, true, 54528+1152*x^2+1536*x*y+1152*y^2-15360*x-15360*y, -136360744960*y-126095918080*x+969792512*y^2+853146752*x^2+1159522816*x*y+5244413467008], [74/143, true, 198000-40392*y-55836*x+2112*y^2+3828*x^2+4752*x*y, -354777570774*y-489493142622*x+1874464934*y^2+3235228286*x^2+3418293784*x*y+19075159128340], [4663/9009, true, 556032+8192*x^2+13312*x*y+2048*y^2-148480*x-87040*y, -715176380160*y-1372174974720*x+1508101632*y^2+7480816128*x^2+9987003648*x*y+53586745890048], [4670/9009, true, 105700-33840*y-26160*x+2540*y^2+1580*x^2+3380*x*y, -281744670064*y-201016122736*x+1882246964*y^2+964877108*x^2+2638794028*x*y+9781320028740], [519/1001, true, 281232+5292*x^2+6048*x*y+5292*y^2-74844*x-74844*y, -684590578254*y-609926070204*x+4629031902*y^2+3874844952*x^2+4572048888*x*y+27653441053392], [4672/9009, true, 678208-130880*y-184640*x+6912*y^2+12288*x^2+12352*x*y, -1167622548620*y-1570384779260*x+6397863728*y^2+10059338552*x^2+8433773428*x*y+65127378188892], [40/77, true, 492800+6880*x^2+12160*x*y+10960*y^2-116640*x-153360*y, -1382727382146*y-926045847144*x+8892872186*y^2+4279927388*x^2+10148142136*x*y+49324190740000], [4681/9009, true, 966656+16384*x^2+16384*x*y+16384*y^2-245760*x-245760*y, 96487811137536+11779948544*x^2+12346507264*x*y+14732017664*y^2-1974852239360*x-2299579842560*y], [4685/9009, true, -780*x^2+936*x*y-1170*y^2+1560*x+3510*y, 52155171200*y+29794833200*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-142607544000], [142/273, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [4687/9009, true, -1500-2250*x^2+3000*x*y-2250*y^2+5250*x+5250*y, 93330622000*y+77417609500*x-3156133000*y^2-2949470500*x^2+3888094000*x*y-698124462000], [4688/9009, true, 9216-3264*x^2+6048*x*y-4224*y^2+1920*x+9600*y, 194389289600*y+48446372480*x-5913432832*y^2-4254990592*x^2+7408927264*x*y-241413821952], [521/1001, true, 37672-4216*x^2+10744*x*y-7786*y^2-10404*x+21726*y, 447714584064*y-63602516736*x-10865816064*y^2-5700996864*x^2+12686893056*x*y+920492356608], [4694/9009, true, 1248+32*x^2+448*x*y-352*y^2-1280*x+640*y, 13570904160*y-11810193120*x-466934328*y^2-5459832*x^2+440381232*x*y+68926173912], [1565/3003, true, -1500-120*x^2+180*x*y-360*y^2+180*x+1620*y, 23181535608*y+10151561112*x-451169104*y^2-253745248*x^2+199867432*x*y-347855935880], [4696/9009, true, -5952-576*x^2+384*x*y-576*y^2+2688*x+2688*y, 36749988352*y+43228928512*x-771153664*y^2-855295744*x^2+587762176*x*y-1008691876608], [61/117, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [522/1001, true, -21312-2496*x^2+3456*x*y-3264*y^2+6912*x+13824*y, 222429480768*y+120905319744*x-4429755688*y^2-3404259112*x^2+4365986512*x*y-4567114096664], [4699/9009, true, -34092-3888*x^2+6948*x*y-6912*y^2+4140*x+34380*y, 567568891120*y+151954947760*x-9349328128*y^2-5571019552*x^2+8379221872*x*y-9783623708208], [4703/9009, true, 1404+54*x^2+216*x*y-36*y^2-810*x-360*y, -3275685160*y-11648392360*x-73445656*y^2+78785384*x^2+266007136*x*y+195981331824], [224/429, true, 1440+108*x^2+108*x*y-36*y^2-972*x-108*y, 421844676*y-9037942716*x-43112668*y^2+100217444*x^2+73442164*x*y+126553165480], [362/693, true, -4320-432*x^2+216*x*y-144*y^2+2592*x+288*y, 3660933056*y+39721060544*x-250487968*y^2-660262144*x^2+417772912*x*y-717382872960], [523/1001, true, -16380+3240*y+7290*x-900*y^2-1350*x^2+1080*x*y, 48508946640*y+102720950640*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-2636408259680], [428/819, true, -46656-2916*x^2+2916*x*y-2916*y^2+14580*x+14580*y, 219340659780*y+219340659780*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-8079712303896], [4709/9009, true, -113400-5292*x^2+6048*x*y-7056*y^2+24948*x+44352*y, 669394258676*y+438382654424*x-9483573388*y^2-7574386576*x^2+7902778864*x*y-21492159920040], [4712/9009, true, -1224-24*x^2-144*x*y-24*y^2+480*x+480*y, 1828750880*y+2078785280*x-4983304*y^2-9529384*x^2-56533424*x*y-54140507544], [1571/3003, true, 796+32*x^2+52*x*y+8*y^2-348*x-204*y, 111552967368+42337296*x^2+56520936*x*y+8535024*y^2-4659452424*x-2428502472*y], [4714/9009, true, 2136+72*x^2+48*x*y+72*y^2-672*x-672*y, -7694796032*y-5694520832*x+79541312*y^2+53563712*x^2+40782208*x*y+237406239936], [4715/9009, true, 4500-60*x^2+180*x*y+180*y^2-240*x-2160*y, -25270939408*y+1221245168*x+156095204*y^2-144952348*x^2+262149124*x*y+513573291420], [524/1001, true, 5320-616*x^2+784*x*y+56*y^2+2016*x-4032*y, -43902720576*y+27972667008*x-114226632*y^2-840240648*x^2+1115376912*x*y+553629702600], [4717/9009, true, -7524-2340*y+8460*x-864*y^2-1944*x^2+2196*x*y, -9363968240*y+108747625360*x-1430745664*y^2-2504487424*x^2+3031745296*x*y-1536474172464], [674/1287, true, -60984-4488*x^2+4752*x*y-3432*y^2+23232*x+11616*y, 198780325568*y+317845347776*x-4886967856*y^2-5870976304*x^2+6488310496*x*y-10399599003792], [4721/9009, true, 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-81892582200*y+26884992420*x-2787625152*y^2-3686613372*x^2+6928846704*x*y+3494476325808], [430/819, true, -10800-720*x^2-864*x*y-720*y^2+5760*x+5760*y, 53289315200*y+48066471200*x-635535400*y^2-540574600*x^2-666722480*x*y-1106026815000], [1577/3003, true, -2124-72*x^2-108*x*y-72*y^2+756*x+756*y, 7047136536*y+6683846136*x-63079312*y^2-57574912*x^2-87390968*x*y-215023022024], [4733/9009, true, 2916+36*x^2+108*x*y+36*y^2-720*x-720*y, -6694465360*y-7097308240*x+27839948*y^2+32417708*x^2+96467044*x*y+305957055348], [526/1001, true, 23472+144*x^2+864*x*y+144*y^2-5184*x-5184*y, -47288821536*y-53754345216*x+71589416*y^2+136897736*x^2+812150896*x*y+2506735461688], [4736/9009, true, 141696-1152*x^2+6912*x*y-1152*y^2-25344*x-25344*y, -193171648384*y-286857011584*x-2010453952*y^2-1236194752*x^2+7213827712*x*y+14967084115776], [1580/3003, true, -16400-580*x^2-980*x*y-340*y^2+6420*x+4980*y, 45300104388*y+60916754052*x-291996684*y^2-528612588*x^2-788737068*x*y-1652343212520], [431/819, true, -2112-36*x^2-96*x*y-36*y^2+588*x+588*y, 6134481892*y+6404488552*x-32271484*y^2-35778064*x^2-94794224*x*y-245808734808], [4742/9009, true, 2592+48*x^2+72*x*y+48*y^2-672*x-672*y, -5813465152*y-5513772352*x+39027488*y^2+35621888*x^2+54069232*x*y+242060487552], [527/1001, true, 23188+374*x^2+616*x*y+176*y^2-6138*x-4356*y, -37595167632*y-56364246576*x+144094032*y^2+333680688*x^2+471310272*x*y+2271523546656], [4744/9009, true, 91728+972*x^2+2628*x*y+108*y^2-22860*x-14220*y, -114695875580*y-223744518140*x-45699628*y^2+945651668*x^2+2176778812*x*y+9147653592792], [365/693, true, 225000+1200*x^2+7200*x*y-900*y^2-52800*x-29700*y, -211612743892*y-540858438208*x-1463979604*y^2+1257059192*x^2+6425690512*x*y+22529598712920], [4750/9009, true, -24600-360*x^2-1200*x*y-360*y^2+6720*x+6720*y, 68755456000*y+73829324800*x-295744000*y^2-361638400*x^2-1194368000*x*y-2825161920000], [4751/9009, true, 5940+68*x^2+196*x*y+116*y^2-1328*x-1712*y, -9942785424*y-7485507216*x+58319892*y^2+30396276*x^2+109332612*x*y+379491862860], [48/91, true, 35880+600*x^2+720*x*y+600*y^2-8640*x-8640*y, -78320626560*y-70644483360*x+518923400*y^2+441386600*x^2+544388080*x*y+3452044662520], [679/1287, true, 117324+1944*x^2+2196*x*y+864*y^2-30420*x-19620*y, -170247949520*y-265568634320*x+787296704*y^2+1653848384*x^2+1520823856*x*y+11225081600304], [4754/9009, true, 301080+3848*x^2+6448*x*y+104*y^2-77792*x-36608*y, -274082586624*y-720078581376*x-128299248*y^2+3557618064*x^2+4786889184*x*y+28597254562800], [529/1001, true, 81000+864*x^2+1944*x*y+1566*y^2-16524*x-22842*y, -198733873536*y-129886745472*x+1202857088*y^2+507431552*x^2+1609111552*x*y+7660657930240], [4762/9009, true, 192456+2916*x^2+2916*x*y+2916*y^2-43740*x-43740*y, -409275806940*y-351481270140*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+18812534622336], [433/819, true, 420876+6642*x^2+5832*x*y+3078*y^2-105138*x-65934*y, -583437571552*y-881042266324*x+2954083064*y^2+5413625996*x^2+3735430096*x*y+39757217817168], [530/1001, true, 175840+1184*x^2+5056*x*y+3104*y^2-33408*x-50688*y, -403824693888*y-253963055808*x+2070020664*y^2+556266744*x^2+4018033296*x*y+15612768160200], [367/693, true, 381492+3888*x^2+6948*x*y+6912*y^2-73620*x-103860*y, -968146892240*y-582934027280*x+5752698368*y^2+2250763232*x^2+6097274032*x*y+38270056946448], [4772/9009, true, 681408+9408*x^2+8064*x*y+9408*y^2-147840*x-147840*y, -1415579271040*y-1157645526400*x+8684541248*y^2+6552857408*x^2+6028921984*x*y+67135126260288], [4775/9009, true, -1170*x^2+936*x*y-780*y^2+3510*x+1560*y, 23252086550*y+49237854050*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-42015736500], [1592/3003, true, 1512-1296*x^2+1464*x*y-576*y^2+3384*x-936*y, -3782499204*y+43927723356*x-963230224*y^2-1686112384*x^2+2041081636*x*y+143182725268], [4777/9009, true, 10956-1474*x^2+2728*x*y-814*y^2+770*x-3850*y, -25927416900*y+8511862590*x-1386895392*y^2-1834158762*x^2+3447230184*x*y+1245955612428], [4778/9009, true, 31500-1500*x^2+4500*x*y-1500*y^2-6000*x-6000*y, -26160178000*y-75382978000*x-2402549500*y^2-1843199500*x^2+5399648500*x*y+3534504004500], [531/1001, true, 66096-1242*x^2+6552*x*y-2592*y^2-18306*x-6156*y, 16231878234*y-228730038966*x-4062864442*y^2-1588501642*x^2+7797812152*x*y+7355893506676], [368/693, true, 32-272*x^2+448*x*y-368*y^2+240*x+720*y, 12768528080*y+4844080010*x-512672692*y^2-368591818*x^2+561035272*x*y-46288689132], [145/273, true, -1280-256*x^2+256*x*y-256*y^2+768*x+768*y, 11553746688*y+11553746688*x-350113536*y^2-350113536*x^2+350113536*x*y-225823230720], [4786/9009, true, -1120-368*x^2+448*x*y-272*y^2+1008*x+336*y, 7657169212*y+13614750226*x-400347544*y^2-477718726*x^2+601807576*x*y-221077963800], [76/143, true, 10528-592*x^2+1984*x*y-1072*y^2-3600*x+720*y, 38938232520*y-39844352790*x-1563823692*y^2-768040002*x^2+2341016424*x*y+718634438748], [4789/9009, true, 27392-512*x^2+3328*x*y-2048*y^2-11520*x+3840*y, 119600757760*y-128794772480*x-3033075712*y^2-774934528*x^2+3891592192*x*y+1816190327808], [4793/9009, true, 756-54*x^2+216*x*y-54*y^2-270*x-270*y, -2389501620*y-4255121970*x-115397784*y^2-81477414*x^2+317686536*x*y+110226537936], [1598/3003, true, 280-16*x^2+104*x*y-64*y^2-216*x+72*y, 2179217436*y-2346739428*x-92108272*y^2-23533168*x^2+118179652*x*y+14633081380], [685/1287, true, -500-30*x^2+40*x*y-60*y^2+70*x+280*y, 4099183858*y+1873716922*x-77154646*y^2-48252478*x^2+47836984*x*y-97064836980], [436/819, true, -1404+432*y+432*x-108*y^2-108*x^2+108*x*y, 6498982512*y+6498982512*x-147704148*y^2-147704148*x^2+147704148*x*y-236769749244], [41/77, true, -2324-238*x^2+392*x*y-322*y^2+378*x+1134*y, 19825332912*y+7521266214*x-442229116*y^2-317945614*x^2+483946456*x*y-507859107392], [4798/9009, true, -3344+3760*y-1040*x-864*y^2-384*x^2+976*x*y, 67820936260*y-1082667740*x-1186896424*y^2-560500024*x^2+1140684916*x*y-1257663682044], [686/1287, true, -936+24*x^2-144*x*y-36*y^2+240*x+540*y, 1805222540*y+859356740*x-6031876*y^2+11165684*x^2-53580704*x*y-36201293136], [4804/9009, true, 240+8*x^2+16*x*y-4*y^2-112*x-28*y, -125621496*y-1299699324*x-5934168*y^2+9313596*x^2+15131232*x*y+26865466560], [534/1001, true, -1080-72*x^2+48*x*y-36*y^2+432*x+108*y, 1578162564*y+6176891556*x-55319548*y^2-101771356*x^2+78757024*x*y-171081925280], [437/819, true, -5376+1280*y+1280*x-256*y^2-256*x^2+256*x*y, 19256244480*y+19256244480*x-350113536*y^2-350113536*x^2+350113536*x*y-903643036416], [4808/9009, true, -18720-600*x^2+720*x*y-900*y^2+2640*x+5940*y, 89985531680*y+51406290980*x-1207562800*y^2-888726100*x^2+927761440*x*y-3505243221840], [229/429, true, -51840-1152*x^2+1536*x*y-2304*y^2+4608*x+18432*y, 284382050304*y+129989646336*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-10774505753600], [1604/3003, true, -1592-16*x^2-104*x*y-64*y^2+408*x+696*y, 5742505692*y+3172063356*x-43113168*y^2-4167072*x^2-87788988*x*y-143624667564], [4813/9009, true, -148-2*x^2-8*x*y-2*y^2+42*x+42*y, 243191872*y+266442022*x-859612*y^2-1161562*x^2-4597448*x*y-9848810388], [4814/9009, true, 188+4*x^2+4*x*y+4*y^2-48*x-48*y, -537976912*y-462008272*x+4308116*y^2+3444836*x^2+3610516*x*y+21614777172], [535/1001, true, 1000-10*x^2+40*x*y+20*y^2-90*x-360*y, -3940819938*y-794453022*x+14788386*y^2-16993098*x^2+50035752*x*y+116567701020], [688/1287, true, 1328-128*x^2+208*x*y-32*y^2+240*x-720*y, -6649097180*y+2860383460*x-72785848*y^2-159235672*x^2+266464372*x*y+125733625332], [4817/9009, true, -6292-506*x^2+616*x*y-374*y^2+2178*x+726*y, 16212041252*y+28825651646*x-539401288*y^2-643646002*x^2+810834952*x*y-1108544014764], [146/273, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [4820/9009, true, -10800-1080*x^2-864*x*y-1080*y^2+7560*x+7560*y, 67762153800*y+54067706550*x-933921900*y^2-684931950*x^2-596234520*x*y-1063220620500], [1607/3003, true, -5888-256*x^2-256*x*y-256*y^2+2304*x+2304*y, 21084746496*y+18107333376*x-225128704*y^2-180016384*x^2-188674304*x*y-566215277312], [4822/9009, true, -944+280*y+280*x-24*y^2-24*x^2-32*x*y, 2601523540*y+2405688670*x-21145072*y^2-18601762*x^2-25281896*x*y-93501843672], [536/1001, true, 976+8*x^2+32*x*y+8*y^2-216*x-216*y, -1993945536*y-2184574986*x+5481788*y^2+7407338*x^2+29318152*x*y+103662993316], [4826/9009, true, 13392-216*x^2+864*x*y-216*y^2-2376*x-2376*y, -15323314644*y-27287101314*x-336372264*y^2-237497994*x^2+926022456*x*y+1343948614848], [230/429, true, -24840-1296*x^2-1464*x*y-576*y^2+12168*x+7848*y, 66687170748*y+104024870268*x-513981616*y^2-1079704336*x^2-992860124*x*y-2320669500380], [4831/9009, true, -8820-238*x^2-392*x*y-112*y^2+3038*x+2156*y, 18955444662*y+28418794866*x-93409794*y^2-216310446*x^2-305529624*x*y-876966477300], [4832/9009, true, -972-12*x^2-36*x*y-12*y^2+240*x+240*y, 2478573680*y+2627723120*x-10307524*y^2-12002404*x^2-35716172*x*y-113278217724], [537/1001, true, 1188+18*x^2+24*x*y+18*y^2-270*x-270*y, -2396966220*y-2216529810*x+15153008*y^2+13330418*x^2+18117544*x*y+112115147368], [4834/9009, true, 9072+128*x^2+208*x*y+32*y^2-2320*x-1360*y, -11174630940*y-21440233980*x+23564088*y^2+116887752*x^2+156046932*x*y+882004815108], [4835/9009, true, 30420+234*x^2+936*x*y-156*y^2-7722*x-3432*y, -21602684422*y-76819514662*x-220165366*y^2+236172074*x^2+797399896*x*y+2949618873180], [124/231, true, 56700-108*x^2+2628*x*y-972*y^2-14472*x-4104*y, 1663361832*y-149822357784*x-1264128844*y^2-116509756*x^2+2503055236*x*y+5070461432740], [440/819, true, -47200-1040*x^2-2480*x*y-380*y^2+15960*x+11340*y, 97519845808*y+155783715472*x-236922736*y^2-993596368*x^2-2059137536*x*y-4711443083520], [4841/9009, true, -12544-128*x^2-512*x*y-128*y^2+3072*x+3072*y, 30909857792*y+33864968192*x-95600128*y^2-129180928*x^2-511296512*x*y-1442109790464], [538/1001, true, 4216+32*x^2+112*x*y+68*y^2-792*x-1116*y, -8074053108*y-5509673136*x+41821164*y^2+15918336*x^2+79469856*x*y+332944474248], [4843/9009, true, 18176+256*x^2+256*x*y+256*y^2-3840*x-3840*y, -35930935040*y-30857066240*x+230187776*y^2+184061696*x^2+192914176*x*y+1754408038656], [1615/3003, true, 112000+1280*x^2+2560*x*y-640*y^2-30720*x-7680*y, -27232837632*y-281755127808*x-750422016*y^2+1177777152*x^2+1913462784*x*y+9907287966720], [4850/9009, true, -62100-540*x^2-2700*x*y-540*y^2+15120*x+15120*y, 148887169200*y+166670103600*x-343431900*y^2-545510700*x^2-2696935500*x*y-7031344603500], [7/13, true, 7840+38*x^2+248*x*y+104*y^2-1458*x-2052*y, -4739161086*y-3453348294*x+18873662*y^2+5885654*x^2+57993304*x*y+202530696580], [4852/9009, true, 52144+384*x^2+976*x*y+864*y^2-8720*x-13520*y, -124256836220*y-69638615420*x+690788264*y^2+194258984*x^2+877638676*x*y+5101870360884], [4853/9009, true, 104220+1350*x^2+1080*x*y+1350*y^2-20790*x-20790*y, -200929516920*y-160322503770*x+1258764300*y^2+923169150*x^2+803620440*x*y+10103084985060], [1618/3003, true, 196900+2948*x^2+2156*x*y+836*y^2-48312*x-22968*y, -192790635576*y-388843063224*x+858195212*y^2+2343440876*x^2+1204679812*x*y+17686542054580], [4861/9009, true, 139008+512*x^2+3328*x*y+2048*y^2-21760*x-37120*y, -323602836480*y-178752752640*x+1457713152*y^2+140894208*x^2+2968261632*x*y+13346056184832], [34/63, true, 249408+1824*x^2+3456*x*y+3936*y^2-39072*x-62304*y, -605947597948*y-301246088374*x+3367791392*y^2+849597098*x^2+3280079992*x*y+25309144704816], [1621/3003, true, 387072+4608*x^2+3072*x*y+4608*y^2-73728*x-73728*y, -728404942848*y-539054850048*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+37333931180032], [695/1287, true, -1360*x^2+544*x*y-340*y^2+5440*x+340*y, 2984166900*y+86016902400*x-639270900*y^2-2148957000*x^2+1170026640*x*y-2344896000], [1622/3003, true, 5936-1316*x^2+1372*x*y+364*y^2+3780*x-6300*y, -70719933900*y+56391789300*x+30261812*y^2-1895673388*x^2+2082504676*x*y+764795333848], [4867/9009, true, 22616-1298*x^2+2728*x*y+352*y^2-462*x-12012*y, -124308733472*y-2521467872*x-99829408*y^2-1681482208*x^2+3428457088*x*y+2765970465216], [4868/9009, true, 45312-1024*x^2+3856*x*y-64*y^2-7232*x-14912*y, -143861924448*y-88111270368*x-613992096*y^2-1247522256*x^2+4497573384*x*y+5417889320448], [541/1001, true, 62000-500*x^2+4000*x*y-500*y^2-13500*x-13500*y, -125642830500*y-176240493000*x-1128581500*y^2-617494000*x^2+4795402000*x*y+7790974426000], [4874/9009, true, -1344-576*x^2+384*x*y-576*y^2+1920*x+1920*y, 25538395520*y+30040757120*x-750248896*y^2-832110016*x^2+571828864*x*y-247703004864], [125/231, true, -1500+180*y+1620*x-120*y^2-360*x^2+180*x*y, 2215089096*y+24033678504*x-202080784*y^2-532665472*x^2+337037656*x*y-241888348280], [4876/9009, true, 2016-352*x^2+448*x*y+32*y^2+896*x-1792*y, -19216080576*y+12243547008*x-64281384*y^2-472847976*x^2+627681744*x*y+223902088488], [4877/9009, true, 8580-324*x^2+876*x*y-36*y^2-912*x-3216*y, -31118766448*y-11396052976*x-174611668*y^2-398733412*x^2+1056468028*x*y+1008464914380], [542/1001, true, 15936-192*x^2+1152*x*y-192*y^2-3456*x-3456*y, -30006130176*y-44558654976*x-381690112*y^2-234694912*x^2+1369564672*x*y+1930193963776], [697/1287, true, 17556-16*x^2+964*x*y-256*y^2-4660*x-2260*y, -17704074960*y-76249190160*x-551356416*y^2-19128096*x^2+1424605104*x*y+2671855304976], [4883/9009, true, 28-322*x^2+392*x*y-238*y^2+630*x+210*y, 5078291240*y+9029403020*x-371718832*y^2-443557228*x^2+558772528*x*y-19047192168], [148/273, true, -648+324*y+324*x-108*y^2-108*x^2+108*x*y, 4874236884*y+4874236884*x-147704148*y^2-147704148*x^2+147704148*x*y-111664335888], [4885/9009, true, -500-60*x^2+40*x*y-30*y^2+280*x+70*y, 1007532064*y+3943457056*x-45407776*y^2-83536672*x^2+64645888*x*y-78187649280], [698/1287, true, 448-288*y+96*x-16*y^2-64*x^2+104*x*y, -2703860896*y+1163177312*x-36998032*y^2-80941648*x^2+135447448*x*y+44846144736], [543/1001, true, 2268-54*x^2+216*x*y-54*y^2-486*x-486*y, -3477487464*y-6192560484*x-93300336*y^2-65875356*x^2+256852944*x*y+254584593432], [376/693, true, 4408-380*y-1340*x-108*y^2-12*x^2+292*x*y, 211032580*y-19008130460*x-192457732*y^2-17738068*x^2+381078508*x*y+544509265872], [4889/9009, true, 4972+32*x^2+248*x*y-118*y^2-1716*x-66*y, 9495555344*y-38178686656*x-329462608*y^2+64539392*x^2+501973888*x*y+917334150432], [4892/9009, true, 312-88*x^2+112*x*y+8*y^2+160*x-320*y, -5727300480*y+3649155840*x-26822448*y^2-197303472*x^2+261910368*x*y+65995261488], [233/429, true, 140-32*x^2+52*x*y-8*y^2+36*x-108*y, -1345613016*y+578870952*x-24550096*y^2-53708944*x^2+89876344*x*y+19917865720], [445/819, true, -60+16*y+16*x-4*y^2-4*x^2+4*x*y, 240703056*y+240703056*x-5470524*y^2-5470524*x^2+5470524*x*y-9983706300], [4897/9009, true, 332-8*x^2+52*x*y-32*y^2-180*x+60*y, 1868761840*y-2012418320*x-47391808*y^2-12108352*x^2+60806128*x*y+10057408368], [4898/9009, true, 1080+8*x^2+112*x*y-88*y^2-704*x+352*y, 9318111264*y-8109164448*x-145731096*y^2-1704024*x^2+137443824*x*y-7502733000], [1633/3003, true, 2468+52*x^2+196*x*y-188*y^2-1800*x+1080*y, 31530033480*y-21693697080*x-371243308*y^2+31966772*x^2+264758836*x*y-205888045172], [377/693, true, -816+36*x^2-96*x*y-144*y^2+60*x+960*y, 4263242060*y-835366840*x-48221644*y^2+44480336*x^2-58583696*x*y-39625536576], [1634/3003, true, -480+12*x^2-36*x*y-36*y^2+36*x+324*y, 1683933108*y-81377868*x-13868572*y^2+12878564*x^2-23291132*x*y-25063259480], [4903/9009, true, -120+2*x^2-8*x*y-4*y^2+14*x+56*y, 283475808*y+57147552*x-1367712*y^2+1571616*x^2-4627584*x*y-6498705600], [446/819, true, -96+20*y+20*x-4*y^2-4*x^2+4*x*y, 300878820*y+300878820*x-5470524*y^2-5470524*x^2+5470524*x*y-15941106936], [701/1287, true, -840-18*x^2+24*x*y-36*y^2+66*x+264*y, 4073180408*y+1861830872*x-48786952*y^2-30511336*x^2+30248608*x*y-168206902800], [1636/3003, true, -3840-48*x^2+72*x*y-144*y^2+144*x+1296*y, 21119121408*y+9248397312*x-205514752*y^2-115585024*x^2+91042816*x*y-910050037760], [4909/9009, true, -12240-100*x^2+160*x*y-400*y^2+260*x+4160*y, 72237688380*y+35553169080*x-610256700*y^2-353721600*x^2+210196080*x*y-3384846148320], [4910/9009, true, -3200-640*x^2-256*x*y-640*y^2+3840*x+3840*y, 29657302400*y+15509014400*x-471006400*y^2-213764800*x^2-136434560*x*y-263403288000], [1637/3003, true, -3564-216*x^2-108*x*y-216*y^2+1620*x+1620*y, 13372805160*y+8418987720*x-171192528*y^2-96134688*x^2-62851464*x*y-276678892152], [4912/9009, true, -1424-48*x^2-32*x*y-48*y^2+448*x+448*y, 3917777248*y+2899344448*x-40498168*y^2-27271768*x^2-20764112*x*y-120874518504], [4913/9009, true, -188-4*x^2-4*x*y-4*y^2+48*x+48*y, 439265552*y+377236112*x-3517636*y^2-2812756*x^2-2948036*x*y-17648763012], [149/273, true, -3564+648*y+648*x-108*y^2-108*x^2+108*x*y, 9748473768*y+9748473768*x-147704148*y^2-147704148*x^2+147704148*x*y-594213787404], [4918/9009, true, -19328+3328*y+3328*x-384*y^2-384*x^2+256*x*y, 47898328192*y+56342695552*x-541201216*y^2-600252736*x^2+412495744*x*y-3354025545792], [1640/3003, true, -16600-1340*x^2-980*x*y-380*y^2+10980*x+5220*y, 38211578196*y+77069651604*x-340192804*y^2-928951492*x^2-477541004*x*y-1304611405760], [4922/9009, true, -2880-64*x^2-104*x*y-16*y^2+928*x+544*y, 4364265312*y+8373508704*x-11503728*y^2-57063312*x^2-76180392*x*y-272955074400], [547/1001, true, -244-2*x^2-8*x*y-2*y^2+54*x+54*y, 543337344*y+595282644*x-1493752*y^2-2018452*x^2-7989008*x*y-28247499464], [4924/9009, true, 296-60*y-60*x+4*y^2+4*x^2+4*x*y, -561420860*y-482141660*x+3596684*y^2+2875964*x^2+3014284*x*y+28376633376], [4925/9009, true, 1500+20*x^2+40*x*y-10*y^2-440*x-110*y, -390053664*y-4035555216*x-11725344*y^2+18402768*x^2+29897856*x*y+132744532320], [1642/3003, true, 1856-32*x^2+208*x*y-128*y^2-864*x+288*y, 7450934304*y-8023706592*x-157463104*y^2-40230976*x^2+202033264*x*y+39192004288], [379/693, true, -9460-374*x^2+616*x*y-506*y^2+858*x+2574*y, 42647162272*y+16179332884*x-658591528*y^2-473501812*x^2+720719248*x*y-1851409095240], [4930/9009, true, -43800-1480*x^2-2480*x*y-40*y^2+19040*x+8960*y, 62172278784*y+163341009216*x+45733464*y^2-1268146152*x^2-1706331312*x*y-3814953773400], [4931/9009, true, -19452-324*x^2-876*x*y-36*y^2+6096*x+3792*y, 29602333904*y+57747150032*x+14743508*y^2-305083948*x^2-702267332*x*y-1870244923404], [548/1001, true, -3912-24*x^2-144*x*y-24*y^2+864*x+864*y, 8349808896*y+9491429376*x-12640576*y^2-24172096*x^2-143401856*x*y-442615429568], [4933/9009, true, 2268+8*x^2+52*x*y+32*y^2-340*x-580*y, -5056294320*y-2793011760*x+22776768*y^2+2201472*x^2+46379088*x*y+214024969872], [4934/9009, true, 5592+72*x^2+48*x*y+72*y^2-1056*x-1056*y, -10432883296*y-7720837696*x+68628632*y^2+46215032*x^2+35187088*x*y+531602239752], [235/429, true, 10500+180*x^2+180*x*y-60*y^2-3240*x-360*y, 1191801864*y-25534130424*x-60901276*y^2+141567908*x^2+103744948*x*y+781242576220], [4936/9009, true, 10248+56*x^2+784*x*y-616*y^2-5824*x+2912*y, 53488378944*y-46548710208*x-707836752*y^2-8276688*x^2+667584288*x*y-106906174704], [380/693, true, 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-55028011280*y-40344172880*x+119941376*y^2-13548064*x^2+760626544*x*y+2613866963664], [4952/9009, true, 92640-23936*y-11264*x+1184*y^2+32*x^2+1984*x*y, -227228788512*y-98124684768*x+874588968*y^2-192387096*x^2+2006669808*x*y+9584407962360], [127/231, true, 125300+532*x^2+1372*x*y+1876*y^2-14616*x-30744*y, -316414666392*y-97067326488*x+1643476028*y^2-18246244*x^2+1507209556*x*y+12865097902660], [4954/9009, true, 146240+1600*x^2+640*x*y+1600*y^2-24960*x-24960*y, -257916264320*y-134874945920*x+1575435200*y^2+715006400*x^2+456350080*x*y+12846063142080], [236/429, true, 13000-400*x^2+1000*x*y+2000*y^2-600*x-15000*y, -170092737540*y+53504567820*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+1592865639900], [4957/9009, true, 43500-900*x^2+3000*x*y+2250*y^2-4200*x-26250*y, -279190031120*y-14811016220*x+1728484160*y^2-1705009540*x^2+3794720800*x*y+5175068706600], [4958/9009, true, 76500-900*x^2+4500*x*y+1500*y^2-10800*x-30000*y, -298399042480*y-107460134320*x+884382260*y^2-1285378060*x^2+5013031900*x*y+8721734768100], [551/1001, true, 82000-400*x^2+4000*x*y+500*y^2-14400*x-22500*y, -213915031110*y-158593794480*x+44684190*y^2-514116180*x^2+4232147400*x*y+9223495871400], [4964/9009, true, -400*x^2+640*x*y-1600*y^2+400*x+6400*y, 83230380090*y+40963433940*x-1828116810*y^2-1059626880*x^2+629674344*x*y-303671651400], [382/693, true, 8160-144*x^2+384*x*y+576*y^2-336*x-5376*y, -60039454706*y+11764513684*x+485077046*y^2-447442024*x^2+589312264*x*y+853769762820], [4967/9009, true, 19200-256*x^2+1024*x*y+512*y^2-2048*x-8192*y, -84232811520*y-16980986880*x+355605120*y^2-408620160*x^2+1203171840*x*y+2166077721600], [552/1001, true, 24000-144*x^2+1152*x*y+192*y^2-3888*x-6912*y, -66046076910*y-42006121740*x+55623110*y^2-187204720*x^2+1223017960*x*y+2669739809200], [4973/9009, true, -900*x^2+1080*x*y-1350*y^2+1800*x+4050*y, 57620747360*y+32917168460*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-157552033200], [1658/3003, true, -1800-144*x^2+216*x*y-432*y^2+216*x+1944*y, 25780177500*y+11289547500*x-501745000*y^2-282190000*x^2+222272500*x*y-386850462500], [4976/9009, true, 2700-36*x^2+108*x*y+108*y^2-144*x-1296*y, -14092489840*y+681034640*x+87047420*y^2-80833540*x^2+146189020*x*y+286397204100], [79/143, true, 4680-36*x^2+216*x*y+54*y^2-648*x-1458*y, -14210065188*y-6764548428*x+26378204*y^2-48829036*x^2+234315616*x*y+517212061840], [383/693, true, -27000-144*x^2-864*x*y+108*y^2+6336*x+3564*y, 20100644630*y+51374993120*x+139060310*y^2-119405380*x^2-610362680*x*y-2140038681300], [4982/9009, true, -900*x^2+720*x*y-600*y^2+2700*x+1200*y, 19111078910*y+40468992410*x-922270630*y^2-1310596330*x^2+1149592936*x*y-34533075300], [151/273, true, -1280-256*x^2+256*x*y-256*y^2+768*x+768*y, 11553746688*y+11553746688*x-350113536*y^2-350113536*x^2+350113536*x*y-225823230720], [712/1287, true, -600-36*x^2+48*x*y-72*y^2+84*x+336*y, 4623413410*y+2113339690*x-87021670*y^2-54423310*x^2+53954680*x*y-109478102100], [554/1001, 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59459400*y+615176100*x+1787400*y^2-2805300*x^2-4557600*x*y-20235447000], [238/429, true, -2100-36*x^2-36*x*y+12*y^2+648*x+72*y, -157134120*y+3366568920*x+8029580*y^2-18665140*x^2-13678340*x*y-103003585100], [4999/9009, true, -8160-144*x^2-96*x*y+36*y^2+2496*x+156*y, -1038788894*y+9196426096*x+18680126*y^2-52894804*x^2-22831736*x*y-276363044400], [1670/3003, true, -2600-400*x^2-200*x*y+80*y^2+3000*x+120*y, -1208748420*y+7330524300*x+31977720*y^2-97405200*x^2-27326700*x*y-56954088900], [5011/9009, true, -2040-144*x^2-96*x*y+36*y^2+1344*x+84*y, -559347866*y+4951921744*x+18680126*y^2-52894804*x^2-22831736*x*y-69284561580], [716/1287, true, -900-36*x^2-36*x*y+12*y^2+432*x+48*y, -104756080*y+2244379280*x+8029580*y^2-18665140*x^2-13678340*x*y-44163947100], [557/1001, true, -200-4*x^2-8*x*y+2*y^2+72*x+18*y, 48648600*y+503325900*x+1787400*y^2-2805300*x^2-4557600*x*y-13489092000], [152/273, true, -140-4*x^2+4*x*y-4*y^2+24*x+24*y, 361054584*y+361054584*x-5470524*y^2-5470524*x^2+5470524*x*y-23222374380], [5017/9009, true, -1200-36*x^2+24*x*y-18*y^2+312*x+78*y, 1274184340*y+4987127860*x-30921340*y^2-56885980*x^2+44021920*x*y-212184457200], [386/693, true, -5400-144*x^2+72*x*y-48*y^2+1512*x+168*y, 2603922860*y+28252518140*x-101808760*y^2-268358080*x^2+169800340*x*y-1091637761700], [5020/9009, true, -17400-900*x^2-1200*x*y+360*y^2+10500*x+1680*y, 425635210*y+63613499950*x+275658170*y^2-544963450*x^2-562371800*x*y-1007067069300], [5021/9009, true, -9600-256*x^2-512*x*y+128*y^2+4096*x+1024*y, 2767564800*y+28633651200*x+114393600*y^2-179539200*x^2-291686400*x*y-646723872000], [558/1001, true, -3120-36*x^2-144*x*y+24*y^2+972*x+432*y, 2162870622*y+7691204862*x+26941514*y^2-28900246*x^2-97577384*x*y-240504528860], [5024/9009, true, 600-4*x^2+16*x*y+8*y^2-44*x-176*y, -1809689310*y-364825890*x+5556330*y^2-6384690*x^2+18799560*x*y+65542265100], [718/1287, true, -2400-36*x^2+48*x*y-72*y^2+156*x+624*y, 8586339190*y+3924773710*x-87021670*y^2-54423310*x^2+53954680*x*y-427067891100], [457/819, true, -11520-256*x^2+256*x*y-256*y^2+1792*x+1792*y, 26958742272*y+26958742272*x-350113536*y^2-350113536*x^2+350113536*x*y-1920372744960], [5030/9009, true, -45900-900*x^2-2700*x*y+540*y^2+18000*x+6480*y, 27703979600*y+137244549200*x+552233300*y^2-692545900*x^2-1734102500*x*y-3386255521500], [43/77, true, -18000-144*x^2-864*x*y+108*y^2+5184*x+2916*y, 16445981970*y+42034085280*x+139060310*y^2-119405380*x^2-610362680*x*y-1425282303800], [719/1287, true, 7020-36*x^2+216*x*y+54*y^2-792*x-1782*y, -17367857452*y-8267781412*x+26378204*y^2-48829036*x^2+234315616*x*y+773568450480], [1678/3003, true, 6300-36*x^2+108*x*y+108*y^2-216*x-1944*y, -21138734760*y+1021551960*x+87047420*y^2-80833540*x^2+146189020*x*y+655212222100], [5036/9009, true, -16200-144*x^2+216*x*y-432*y^2+504*x+4536*y, 60153747500*y+26342277500*x-501745000*y^2-282190000*x^2+222272500*x*y-3105296962500], [80/143, true, 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3528+56*x^2+784*x*y-616*y^2-3136*x+1568*y, 28801434816*y-25064690112*x-707836752*y^2-8276688*x^2+667584288*x*y+69254647056], [725/1287, true, 4500+180*x^2+180*x*y-60*y^2-2160*x-240*y, 794534576*y-17022753616*x-60901276*y^2+141567908*x^2+103744948*x*y+334966552620], [564/1001, true, 3672+72*x^2+48*x*y+72*y^2-864*x-864*y, -8535995424*y-6317049024*x+68628632*y^2+46215032*x^2+35187088*x*y+350065029832], [5077/9009, true, 2268+8*x^2+52*x*y+32*y^2-340*x-580*y, -5056294320*y-2793011760*x+22776768*y^2+2201472*x^2+46379088*x*y+214024969872], [5078/9009, true, -5832-24*x^2-144*x*y-24*y^2+1056*x+1056*y, 10205321984*y+11600635904*x-12640576*y^2-24172096*x^2-143401856*x*y-660675008448], [1693/3003, true, -44172-324*x^2-876*x*y-36*y^2+9144*x+5688*y, 44403500856*y+86620725048*x+14743508*y^2-305083948*x^2-702267332*x*y-4272355731644], [22/39, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [391/693, true, 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7623909216*y-6634770912*x-145731096*y^2-1704024*x^2+137443824*x*y+4586735160], [5113/9009, true, 332-8*x^2+52*x*y-32*y^2-180*x+60*y, 1868761840*y-2012418320*x-47391808*y^2-12108352*x^2+60806128*x*y+10057408368], [155/273, true, -140-4*x^2+4*x*y-4*y^2+24*x+24*y, 361054584*y+361054584*x-5470524*y^2-5470524*x^2+5470524*x*y-23222374380], [731/1287, true, 620-32*x^2+52*x*y-8*y^2+84*x-252*y, -3139763704*y+1350698888*x-24550096*y^2-53708944*x^2+89876344*x*y+76145617080], [569/1001, true, 3352+32*x^2+248*x*y-118*y^2-1404*x-54*y, 7769090736*y-31237107264*x-329462608*y^2+64539392*x^2+501973888*x*y+630502837312], [394/693, true, 4408-380*y-1340*x-108*y^2-12*x^2+292*x*y, 211032580*y-19008130460*x-192457732*y^2-17738068*x^2+381078508*x*y+544509265872], [5123/9009, true, 3348-54*x^2+216*x*y-54*y^2-594*x-594*y, -4250262456*y-7568685036*x-93300336*y^2-65875356*x^2+256852944*x*y+372774068352], [244/429, true, 928-64*x^2+104*x*y-16*y^2+144*x-432*y, -4055791344*y+1744765968*x-36998032*y^2-80941648*x^2+135447448*x*y+87214943296], [5125/9009, true, -2000-60*x^2+40*x*y-30*y^2+520*x+130*y, 1871130976*y+7323563104*x-45407776*y^2-83536672*x^2+64645888*x*y-311591422080], [466/819, true, -4968+756*y+756*x-108*y^2-108*x^2+108*x*y, 11373219396*y+11373219396*x-147704148*y^2-147704148*x^2+147704148*x*y-826552412208], [733/1287, true, 17556-16*x^2+964*x*y-256*y^2-4660*x-2260*y, -17704074960*y-76249190160*x-551356416*y^2-19128096*x^2+1424605104*x*y+2671855304976], [5132/9009, true, 23616-192*x^2+1152*x*y-192*y^2-4224*x-4224*y, -36674159104*y-54460578304*x-381690112*y^2-234694912*x^2+1369564672*x*y+2841541337856], [1711/3003, true, 18900-324*x^2+876*x*y-36*y^2-1368*x-4824*y, -46678149672*y-17094079464*x-174611668*y^2-398733412*x^2+1056468028*x*y+2177622448540], [5134/9009, true, 5856-352*x^2+448*x*y+32*y^2+1664*x-3328*y, -35687006784*y+22738015872*x-64281384*y^2-472847976*x^2+627681744*x*y+552607242408], [395/693, true, -13500+420*y+3780*x-120*y^2-360*x^2+180*x*y, 5168541224*y+56078583176*x-202080784*y^2-532665472*x^2+337037656*x*y-2166797972280], [467/819, true, 171500+12250*x^2+7000*x*y+12250*y^2-110250*x-110250*y, -1106709411500*y-757147217750*x+11841251000*y^2+7301482250*x^2+5063197000*x*y+18680248456500], [734/1287, true, 287196+5876*x^2+8788*x*y+12116*y^2-82160*x-132080*y, -1323523927440*y-597564498960*x+10744204068*y^2+2494665108*x^2+8591681124*x*y+31675276807668], [571/1001, true, 367472+2074*x^2+10744*x*y+8704*y^2-67014*x-126684*y, -1201469238486*y-546991514586*x+6873180206*y^2+262294106*x^2+10525745416*x*y+38752862255788], [5146/9009, true, 117888+8384*x^2+4864*x*y+2624*y^2-75712*x-35392*y, -304095396528*y-569733031098*x+2766663756*y^2+6216503166*x^2+2365254216*x*y+10349201333592], [5147/9009, true, 141312+4608*x^2+3072*x*y+4608*y^2-49152*x-49152*y, -485603295232*y-359369900032*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+14097168310272], [4/7, true, 157248+1824*x^2+3456*x*y+3936*y^2-31968*x-50976*y, -495775307412*y-246474072306*x+3367791392*y^2+849597098*x^2+3280079992*x*y+16237207841596], [5149/9009, true, 139008+512*x^2+3328*x*y+2048*y^2-21760*x-37120*y, -323602836480*y-178752752640*x+1457713152*y^2+140894208*x^2+2968261632*x*y+13346056184832], [5155/9009, true, 84100+4350*x^2+5800*x*y-1740*y^2-50750*x-8120*y, -2886433550*y-431393212250*x-1869368350*y^2+3695654750*x^2+3813709000*x*y+6829397821500], [5156/9009, true, 78100+2948*x^2+2156*x*y+836*y^2-32208*x-15312*y, -128527090384*y-259228708816*x+858195212*y^2+2343440876*x^2+1204679812*x*y+7023257576580], [573/1001, true, 66420+1350*x^2+1080*x*y+1350*y^2-17010*x-17010*y, -164396877480*y-131172957630*x+1258764300*y^2+923169150*x^2+803620440*x*y+6490564778160], [5158/9009, true, 52144+384*x^2+976*x*y+864*y^2-8720*x-13520*y, -124256836220*y-69638615420*x+690788264*y^2+194258984*x^2+877638676*x*y+5101870360884], [67/117, true, 11740+38*x^2+248*x*y+104*y^2-1782*x-2508*y, -5792307994*y-4220759026*x+18873662*y^2+5885654*x^2+57993304*x*y+302661366780], [5164/9009, true, 53456+832*x^2+6448*x*y-3068*y^2-28392*x-1092*y, 67108996108*y-269824485392*x-3658989388*y^2+716770112*x^2+5574887968*x*y+4453898471376], [5165/9009, true, 48000+1280*x^2+2560*x*y-640*y^2-20480*x-5120*y, -18155225088*y-187836751872*x-750422016*y^2+1177777152*x^2+1913462784*x*y+4242508600320], [5167/9009, true, 18176+256*x^2+256*x*y+256*y^2-3840*x-3840*y, -35930935040*y-30857066240*x+230187776*y^2+184061696*x^2+192914176*x*y+1754408038656], [5168/9009, true, 6336+32*x^2+112*x*y+68*y^2-968*x-1364*y, -9868287132*y-6734044944*x+41821164*y^2+15918336*x^2+79469856*x*y+498967795008], [1723/3003, true, -27904-128*x^2-512*x*y-128*y^2+4608*x+4608*y, 46364786688*y+50797452288*x-95600128*y^2-129180928*x^2-511296512*x*y-3223417505024], [739/1287, true, 22908+1610*y-8050*x-3082*y^2-1702*x^2+5704*x*y, 77612146920*y-79418236590*x-4007612484*y^2-1968256854*x^2+5999325048*x*y+1818940042116], [398/693, true, 25740-108*x^2+2628*x*y-972*y^2-9648*x-2736*y, 1108907888*y-99881571856*x-1264128844*y^2-116509756*x^2+2503055236*x*y+2354213173620], [575/1001, true, 20280+234*x^2+936*x*y-156*y^2-6318*x-2808*y, -17674923618*y-62852330178*x-220165366*y^2+236172074*x^2+797399896*x*y+1965396882340], [5176/9009, true, 9072+128*x^2+208*x*y+32*y^2-2320*x-1360*y, -11174630940*y-21440233980*x+23564088*y^2+116887752*x^2+156046932*x*y+882004815108], [5177/9009, true, 1788+18*x^2+24*x*y+18*y^2-330*x-330*y, -2929625380*y-2709091990*x+15153008*y^2+13330418*x^2+18117544*x*y+168502321068], [1726/3003, true, -2172-12*x^2-36*x*y-12*y^2+360*x+360*y, 3717860520*y+3941584680*x-10307524*y^2-12002404*x^2-35716172*x*y-253701379724], [5179/9009, true, -31080-238*x^2-392*x*y-112*y^2+5642*x+4004*y, 35202968658*y+52777761894*x-93409794*y^2-216310446*x^2-305529624*x*y-3110323483620], [5182/9009, true, -2000-3000*x^2+4000*x*y-3000*y^2+7000*x+7000*y, 120994489000*y+100364745250*x-4091633500*y^2-3823714750*x^2+5040553000*x*y-905053569000], [576/1001, true, 9072-216*x^2+864*x*y-216*y^2-1944*x-1944*y, -12537257436*y-22325810166*x-336372264*y^2-237497994*x^2+926022456*x*y+917844455268], [5186/9009, true, 1456+8*x^2+32*x*y+8*y^2-264*x-264*y, -2437044544*y-2670036094*x+5481788*y^2+7407338*x^2+29318152*x*y+154733799696], [5188/9009, true, -3344-24*x^2-32*x*y-24*y^2+520*x+520*y, 4831400860*y+4467707530*x-21145072*y^2-18601762*x^2-25281896*x*y-329556133572], [5189/9009, true, -36608-256*x^2-256*x*y-256*y^2+5376*x+5376*y, 49197741824*y+42250444544*x-225128704*y^2-180016384*x^2-188674304*x*y-3440301134592], [5191/9009, true, -12172-3026*x^2+2584*x*y-3536*y^2+12138*x+15708*y, 228522125062*y+205523922142*x-4819024714*y^2-4520346754*x^2+3702409816*x*y-2600091037908], [472/819, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [577/1001, true, -3652-506*x^2+616*x*y-374*y^2+1782*x+594*y, 13264397388*y+23584624074*x-539401288*y^2-643646002*x^2+810834952*x*y-658167085784], [742/1287, true, 1328-128*x^2+208*x*y-32*y^2+240*x-720*y, -6649097180*y+2860383460*x-72785848*y^2-159235672*x^2+266464372*x*y+125733625332], [5195/9009, true, 1500-10*x^2+40*x*y+20*y^2-110*x-440*y, -4816557702*y-970998138*x+14788386*y^2-16993098*x^2+50035752*x*y+174443259420], [1732/3003, true, 428+4*x^2+4*x*y+4*y^2-72*x-72*y, -806965368*y-693012408*x+4308116*y^2+3444836*x^2+3610516*x*y+49114369732], [5197/9009, true, -508-2*x^2-8*x*y-2*y^2+78*x+78*y, 451642048*y+494820898*x-859612*y^2-1161562*x^2-4597448*x*y-33874408248], [5198/9009, true, -8952-16*x^2-104*x*y-64*y^2+952*x+1624*y, 13399179948*y+7401481164*x-43113168*y^2-4167072*x^2-87788988*x*y-797359731084], [400/693, true, -1960*x^2+2800*x*y-4900*y^2+3920*x+24500*y, 387724144500*y+166953055500*x-6792808500*y^2-3925651500*x^2+3514860000*x*y-1768800510000], [743/1287, true, -13440+12288*y+3072*x-2304*y^2-1152*x^2+1536*x*y, 189588033536*y+86659764224*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-3177691315200], [578/1001, true, -10920-600*x^2+720*x*y-900*y^2+2160*x+4860*y, 73624525920*y+42059692620*x-1207562800*y^2-888726100*x^2+927761440*x*y-2091324995240], [473/819, true, -5376+1280*y+1280*x-256*y^2-256*x^2+256*x*y, 19256244480*y+19256244480*x-350113536*y^2-350113536*x^2+350113536*x*y-903643036416], [5204/9009, true, -1680+132*y+528*x-36*y^2-72*x^2+48*x*y, 1928865356*y+7549534124*x-55319548*y^2-101771356*x^2+78757024*x*y-265865920080], [5206/9009, true, 840+8*x^2+16*x*y-4*y^2-208*x-52*y, -233297064*y-2413727316*x-5934168*y^2+9313596*x^2+15131232*x*y+94059162360], [5210/9009, true, 10300-460*x^2+3380*x*y-3820*y^2-9840*x+17040*y, 319371788912*y-47448992272*x-5534233276*y^2-1365815308*x^2+3810016804*x*y-1037932499340], [5212/9009, true, -3344+3760*y-1040*x-864*y^2-384*x^2+976*x*y, 67820936260*y-1082667740*x-1186896424*y^2-560500024*x^2+1140684916*x*y-1257663682044], [401/693, true, -4004-238*x^2+392*x*y-322*y^2+462*x+1386*y, 24230962448*y+9192658706*x-442229116*y^2-317945614*x^2+483946456*x*y-842095318932], [158/273, true, -3564+648*y+648*x-108*y^2-108*x^2+108*x*y, 9748473768*y+9748473768*x-147704148*y^2-147704148*x^2+147704148*x*y-594213787404], [745/1287, true, -2000-30*x^2+40*x*y-60*y^2+130*x+520*y, 7612770022*y+3479759998*x-77154646*y^2-48252478*x^2+47836984*x*y-378644445180], [5216/9009, true, 1240-16*x^2+104*x*y-64*y^2-504*x+168*y, 5084840684*y-5475725332*x-92108272*y^2-23533168*x^2+118179652*x*y+26918027460], [580/1001, true, 43040-176*x^2+5056*x*y-3536*y^2-21168*x+9072*y, 244895300892*y-239369159898*x-5476197136*y^2-584636926*x^2+6005014456*x*y+3333164946700], [5221/9009, true, 27392-512*x^2+3328*x*y-2048*y^2-11520*x+3840*y, 119600757760*y-128794772480*x-3033075712*y^2-774934528*x^2+3891592192*x*y+1816190327808], [746/1287, true, 13728-592*x^2+1984*x*y-1072*y^2-4400*x+880*y, 47591173080*y-48698653410*x-1563823692*y^2-768040002*x^2+2341016424*x*y+729709242048], [5224/9009, true, -6880-368*x^2+448*x*y-272*y^2+1872*x+624*y, 14220457108*y+25284536134*x-400347544*y^2-477718726*x^2+601807576*x*y-1223897023020], [475/819, true, -11520-256*x^2+256*x*y-256*y^2+1792*x+1792*y, 26958742272*y+26958742272*x-350113536*y^2-350113536*x^2+350113536*x*y-1920372744960], [5228/9009, true, 576000+24000*x^2+18000*x*y+24000*y^2-264000*x-264000*y, -2572508884000*y-2002308484000*x+22569404000*y^2+16089854000*x^2+13327303000*x*y+61525462416000], [83/143, true, 730336+11948*x^2+17632*x*y+20648*y^2-186876*x-265176*y, -2559179949876*y-1447104227976*x+17911732068*y^2+6678643968*x^2+15877140912*x*y+77894463837456], [5237/9009, true, 419748+17708*x^2+12844*x*y+8588*y^2-193040*x-120080*y, -1083419670960*y-1555337179440*x+8475491916*y^2+13838190876*x^2+7672190508*x*y+39763222180956], [582/1001, true, 412608+9408*x^2+8064*x*y+9408*y^2-120960*x-120960*y, -1158201221760*y-947164521600*x+8684541248*y^2+6552857408*x^2+6028921984*x*y+41402878285888], [403/693, true, 381492+3888*x^2+6948*x*y+6912*y^2-73620*x-103860*y, -968146892240*y-582934027280*x+5752698368*y^2+2250763232*x^2+6097274032*x*y+38270056946448], [5246/9009, true, 331776+11232*x^2+13608*x*y+432*y^2-144288*x-57888*y, -418889450848*y-1270665175648*x+200398352*y^2+9879667952*x^2+9119418088*x*y+30092881221216], [53/91, true, 265356+6642*x^2+5832*x*y+3078*y^2-86022*x-53946*y, -477358013088*y-720852763356*x+2954083064*y^2+5413625996*x^2+3735430096*x*y+25112419438408], [5248/9009, true, 192456+2916*x^2+2916*x*y+2916*y^2-43740*x-43740*y, -409275806940*y-351481270140*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+18812534622336], [5249/9009, true, 124740+864*x^2+1944*x*y+1566*y^2-20196*x-27918*y, -242896956544*y-158750466688*x+1202857088*y^2+507431552*x^2+1609111552*x*y+11677132162560], [5255/9009, true, 260100+5100*x^2+15300*x*y-3060*y^2-102000*x-36720*y, -199159510000*y-986629270000*x-3969917500*y^2+4978602500*x^2+12466187500*x*y+24343253212500], [584/1001, true, 197080+3848*x^2+6448*x*y+104*y^2-63648*x-29952*y, -224249389056*y-589155202944*x-128299248*y^2+3557618064*x^2+4786889184*x*y+18655642882800], [751/1287, true, 117324+1944*x^2+2196*x*y+864*y^2-30420*x-19620*y, -170247949520*y-265568634320*x+787296704*y^2+1653848384*x^2+1520823856*x*y+11225081600304], [478/819, true, 55080+600*x^2+720*x*y+600*y^2-10560*x-10560*y, -95725210240*y-86343257440*x+518923400*y^2+441386600*x^2+544388080*x*y+5272729339320], [1753/3003, true, 13540+68*x^2+196*x*y+116*y^2-1992*x-2568*y, -14914178136*y-11228260824*x+58319892*y^2+30396276*x^2+109332612*x*y+858769910460], [752/1287, true, 181248-256*x^2+15424*x*y-4096*y^2-59648*x-28928*y, -146535266592*y-631108681632*x-5704418304*y^2-197902224*x^2+14739183576*x*y+18020082180672], [45/77, true, 150000+1200*x^2+7200*x*y-900*y^2-43200*x-24300*y, -173137699548*y-442520540352*x-1463979604*y^2+1257059192*x^2+6425690512*x*y+15004886891920], [5266/9009, true, 91728+972*x^2+2628*x*y+108*y^2-22860*x-14220*y, -114695875580*y-223744518140*x-45699628*y^2+945651668*x^2+2176778812*x*y+9147653592792], [5267/9009, true, 34848+374*x^2+616*x*y+176*y^2-7502*x-5324*y, -45949649328*y-68889634704*x+144094032*y^2+333680688*x^2+471310272*x*y+3419916386976], [1756/3003, true, 5952+48*x^2+72*x*y+48*y^2-1008*x-1008*y, -8720197728*y-8270658528*x+39027488*y^2+35621888*x^2+54069232*x*y+553559518912], [479/819, true, -7152-36*x^2-96*x*y-36*y^2+1092*x+1092*y, 11392609228*y+11894050168*x-32271484*y^2-35778064*x^2-94794224*x*y-836931627168], [5273/9009, true, 94500-4500*x^2+13500*x*y-4500*y^2-18000*x-18000*y, -71998366000*y-207469966000*x-6612326500*y^2-5072876500*x^2+14860979500*x*y+9727705711500], [586/1001, true, 95616-1152*x^2+6912*x*y-1152*y^2-20736*x-20736*y, -158049530496*y-234701191296*x-2010453952*y^2-1236194752*x^2+7213827712*x*y+10166797516096], [5276/9009, true, 34992+144*x^2+864*x*y+144*y^2-6336*x-6336*y, -57797448544*y-65699755264*x+71589416*y^2+136897736*x^2+812150896*x*y+3741707499768], [1759/3003, true, 6516+36*x^2+108*x*y+36*y^2-1080*x-1080*y, -10041698040*y-10645962360*x+27839948*y^2+32417708*x^2+96467044*x*y+685230829348], [5279/9009, true, -12204-72*x^2-108*x*y-72*y^2+1764*x+1764*y, 16443318584*y+15595640984*x-63079312*y^2-57574912*x^2-87390968*x*y-1221961751304], [5282/9009, true, 16128-7392*x^2+10584*x*y-5712*y^2+16800*x+3360*y, 137180009120*y+218235950240*x-8231342224*y^2-9152432464*x^2+13344956968*x*y+647978642976], [587/1001, true, 30268-3082*x^2+5704*x*y-1702*y^2+2070*x-10350*y, -67003021800*y+21996811980*x-2787625152*y^2-3686613372*x^2+6928846704*x*y+2944400428008], [5284/9009, true, 39672-972*x^2+2628*x*y-108*y^2-3420*x-12060*y, -113524966940*y-41574158780*x-509603332*y^2-1163701588*x^2+3083296972*x*y+4478681455248], [755/1287, true, 30420-156*x^2+936*x*y+234*y^2-3432*x-7722*y, -78718480192*y-37473084352*x+119557184*y^2-221313856*x^2+1062017536*x*y+3506139598080], [1762/3003, true, 13120+32*x^2+208*x*y+128*y^2-1632*x-2784*y, -29470972608*y-16279268544*x+110630016*y^2+10692864*x^2+225269856*x*y+1500864785280], [5287/9009, true, 2508+18*x^2+24*x*y+18*y^2-390*x-390*y, -4291653080*y-3968590340*x+18782816*y^2+16523636*x^2+22457488*x*y+292739235816], [5288/9009, true, -2952-12*x^2-36*x*y-12*y^2+420*x+420*y, 2878156820*y+3051351380*x-6839572*y^2-7964212*x^2-23699516*x*y-228909597072], [37/63, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [84/143, true, -29304+9504*y+19008*x-3432*y^2-4488*x^2+4752*x*y, 162638448192*y+260055284544*x-4886967856*y^2-5870976304*x^2+6488310496*x*y-5233342270352], [5293/9009, true, -7524-2340*y+8460*x-864*y^2-1944*x^2+2196*x*y, -9363968240*y+108747625360*x-1430745664*y^2-2504487424*x^2+3031745296*x*y-1536474172464], [5294/9009, true, 7560-616*x^2+784*x*y+56*y^2+2464*x-4928*y, -53658880704*y+34188815232*x-114226632*y^2-840240648*x^2+1115376912*x*y+748330357320], [1765/3003, true, 10500-60*x^2+180*x*y+180*y^2-360*x-3240*y, -37906409112*y+1831867752*x+156095204*y^2-144952348*x^2+262149124*x*y+1174939883020], [5296/9009, true, 7896+72*x^2+48*x*y+72*y^2-1248*x-1248*y, -14290335488*y-10575538688*x+79541312*y^2+53563712*x^2+40782208*x*y+868616892096], [5297/9009, true, 4476+32*x^2+52*x*y+8*y^2-812*x-476*y, -5666505768*y-10872055656*x+8535024*y^2+42337296*x^2+56520936*x*y+631336326408], [5300/9009, true, -8640*x^2+10800*x*y-14400*y^2+25920*x+72000*y, 1096240402400*y+566276770400*x-19345352800*y^2-13323038800*x^2+13776151000*x*y-4997568192000], [589/1001, true, -50400-5292*x^2+6048*x*y-7056*y^2+20412*x+36288*y, 547686211644*y+358676717256*x-9483573388*y^2-7574386576*x^2+7902778864*x*y-10414390789040], [482/819, true, -46656-2916*x^2+2916*x*y-2916*y^2+14580*x+14580*y, 219340659780*y+219340659780*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-8079712303896], [5303/9009, true, -28080-1350*x^2+1080*x*y-900*y^2+8910*x+3960*y, 59288712560*y+125547828560*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-4484773670880], [136/231, true, -11520+432*y+3888*x-144*y^2-432*x^2+216*x*y, 5491399584*y+59581590816*x-250487968*y^2-660262144*x^2+417772912*x*y-1910387696960], [758/1287, true, 8640+108*x^2+108*x*y-36*y^2-2268*x-252*y, 984304244*y-21088533004*x-43112668*y^2+100217444*x^2+73442164*x*y+758400355080], [590/1001, true, 11200-5440*x^2+12160*x*y-13120*y^2-5760*x+63360*y, 1061519893632*y+144308469888*x-17851074624*y^2-8586312768*x^2+14257302912*x*y-6158641170240], [5311/9009, true, -34092-3888*x^2+6948*x*y-6912*y^2+4140*x+34380*y, 567568891120*y+151954947760*x-9349328128*y^2-5571019552*x^2+8379221872*x*y-9783623708208], [5312/9009, true, -44352-2496*x^2+3456*x*y-3264*y^2+8448*x+16896*y, 271858254272*y+147773168576*x-4429755688*y^2-3404259112*x^2+4365986512*x*y-8763428325144], [23/39, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [5314/9009, true, -28992-576*x^2+384*x*y-576*y^2+4992*x+4992*y, 68249978368*y+80282295808*x-771153664*y^2-855295744*x^2+587762176*x*y-4779126528768], [5315/9009, true, -13500-120*x^2+180*x*y-360*y^2+420*x+3780*y, 54090249752*y+23686975928*x-451169104*y^2-253745248*x^2+199867432*x*y-2792283028680], [591/1001, true, 1458000+40500*x^2+36000*x*y+40500*y^2-526500*x-526500*y, -5015379327750*y-4152094996500*x+37172981750*y^2+28452938000*x^2+26974831000*x*y+152975562328000], [592/1001, true, 1108096+31328*x^2+26752*x*y+18128*y^2-402336*x-283536*y, -2571787501866*y-3329831991816*x+17233492338*y^2+24890507388*x^2+17488318392*x*y+107243562471696], [5329/9009, true, 966656+16384*x^2+16384*x*y+16384*y^2-245760*x-245760*y, 96487811137536+11779948544*x^2+12346507264*x*y+14732017664*y^2-1974852239360*x-2299579842560*y], [593/1001, true, 929488+22016*x^2+27176*x*y+5246*y^2-320436*x-169506*y, -1382711983884*y-2850986731824*x+4554766004*y^2+19385824064*x^2+18824043424*x*y+87207218964832], [5338/9009, true, 678208-130880*y-184640*x+6912*y^2+12288*x^2+12352*x*y, -1167622548620*y-1570384779260*x+6397863728*y^2+10059338552*x^2+8433773428*x*y+65127378188892], [5339/9009, true, 447552+5292*x^2+6048*x*y+5292*y^2-91476*x-91476*y, -836721817866*y-745465196916*x+4629031902*y^2+3874844952*x^2+4572048888*x*y+43475311201212], [54/91, true, 807408+12852*x^2+30576*x*y-1008*y^2-253260*x-128520*y, -955840268790*y-2439034419690*x-2579616706*y^2+12402142394*x^2+24469137832*x*y+77673263691676], [5347/9009, true, 556032+8192*x^2+13312*x*y+2048*y^2-148480*x-87040*y, -715176380160*y-1372174974720*x+1508101632*y^2+7480816128*x^2+9987003648*x*y+53586745890048], [764/1287, true, 304920+3828*x^2+4752*x*y+2112*y^2-68244*x-49368*y, -433617030946*y-598269396538*x+1874464934*y^2+3235228286*x^2+3418293784*x*y+29394023403180], [1783/3003, true, 131328+1152*x^2+1536*x*y+1152*y^2-23040*x-23040*y, -204541117440*y-189143877120*x+969792512*y^2+853146752*x^2+1159522816*x*y+12461971700608], [85/143, true, 672400+4100*x^2+32800*x*y-3280*y^2-184500*x-118080*y, -888781721850*y-1918528375500*x-6018598350*y^2+4382883000*x^2+29992383000*x*y+68324419188000], [412/693, true, 490304+4096*x^2+15424*x*y+256*y^2-118080*x-79680*y, -648455603180*y-1188043975580*x-803702704*y^2+4101646136*x^2+13397507284*x*y+49570532754204], [487/819, true, 270020+2392*x^2+5704*x*y+874*y^2-57684*x-40986*y, -348803809552*y-557198926768*x+539262608*y^2+2261536304*x^2+4686827008*x*y+27031819912320], [1786/3003, true, 94780+812*x^2+1372*x*y+476*y^2-17976*x-13944*y, -122113324872*y-164210380488*x+393560748*y^2+712477836*x^2+1063080396*x*y+9313582994100], [5359/9009, true, 14960+100*x^2+160*x*y+100*y^2-2340*x-2340*y, -19933349150*y-19151174900*x+79589750*y^2+74120000*x^2+119608600*x*y+1379038092600], [596/1001, true, 496000-4000*x^2+32000*x*y-4000*y^2-108000*x-108000*y, -863528267250*y-1211279998500*x-7756606750*y^2-4243963000*x^2+32958229000*x*y+53546442877000], [5366/9009, true, 262656+864*x^2+6912*x*y+864*y^2-47520*x-47520*y, -429876858510*y-498777790500*x+261899082*y^2+831328272*x^2+6581604456*x*y+28118805292188], [1789/3003, true, 111616+512*x^2+2048*x*y+512*y^2-18432*x-18432*y, -170150019072*y-186417065472*x+350834432*y^2+474069632*x^2+1876361728*x*y+11829334051456], [488/819, true, 19072+96*x^2+256*x*y+96*y^2-2912*x-2912*y, -27137053658*y-28331479748*x+76870274*y^2+85222904*x^2+225798664*x*y+1993560739248], [597/1001, true, 286416-11232*x^2+28392*x*y-5382*y^2-26676*x-79326*y, -642041443296*y-333947364696*x-9949397152*y^2-13061458552*x^2+32869328512*x*y+32327577753856], [5374/9009, true, 280896-4096*x^2+15424*x*y-256*y^2-36160*x-74560*y, -692715428460*y-424268176860*x-2365166736*y^2-4805596296*x^2+17325159444*x*y+31928457821436], [5375/9009, true, 225000-900*x^2+7200*x*y+1200*y^2-29700*x-52800*y, -518466348334*y-329751009676*x+357255266*y^2-1202375632*x^2+7855181176*x*y+25629337873620], [256/429, true, 132516+108*x^2+2628*x*y+972*y^2-17064*x-27432*y, -277694310696*y-179355890472*x+711766436*y^2-33221596*x^2+2783956684*x*y+15028325607988], [5377/9009, true, 48840+176*x^2+616*x*y+374*y^2-6292*x-8866*y, -92059475508*y-62820693936*x+330120252*y^2+125653248*x^2+627304608*x*y+5511290092560], [5378/9009, true, 8136+48*x^2+72*x*y+48*y^2-1176*x-1176*y, -12835252276*y-12173575876*x+49238168*y^2+44941568*x^2+68215252*x*y+953833453356], [46/77, true, 84208-17404*x^2+24016*x*y-9424*y^2+48564*x-23256*y, -62965824174*y+602967540186*x-14932774386*y^2-21659374026*x^2+31137585624*x*y+8230952730132], [769/1287, true, 109568-8192*x^2+13312*x*y-2048*y^2+15360*x-46080*y, 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-229717177800*y+183175548600*x+49149212*y^2-3078825988*x^2+3382264876*x*y+2394034776148], [415/693, true, 46240-204*x^2+544*x*y+816*y^2-884*x-14144*y, -170681424914*y+33444406996*x+742531586*y^2-684921784*x^2+902089624*x*y+4790616801000], [5396/9009, true, 50328+432*x^2+216*x*y+432*y^2-7560*x-7560*y, -87609018420*y-55155163140*x+480655944*y^2+269916624*x^2+176467572*x*y+5263703474796], [600/1001, true, -25920*x^2+28800*x*y-32400*y^2+103680*x+162000*y, 2441793226950*y+1740472826400*x-43647249550*y^2-36563205100*x^2+37965343000*x*y-11117784896000], [491/819, true, -147456-16384*x^2+16384*x*y-16384*y^2+81920*x+81920*y, 1232399646720*y+1232399646720*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-27986675613696], [5402/9009, true, -151200-9408*x^2+8064*x*y-7056*y^2+59136*x+33264*y, 499551333578*y+838350914192*x-9997585222*y^2-12797581756*x^2+11738123608*x*y-24945951102420], [1801/3003, true, -103680-4608*x^2+3072*x*y-2304*y^2+36864*x+9216*y, 134669872128*y+527094746112*x-3540451072*y^2-6513366784*x^2+5040449536*x*y-16499182369280], [772/1287, true, -48960-1600*x^2+640*x*y-400*y^2+16640*x+1040*y, 9534160350*y+274816713600*x-785544750*y^2-2640667500*x^2+1437744600*x*y-8664646523400], [5407/9009, true, -10584*x^2+3024*x*y-1764*y^2+63504*x+1764*y, -4731006896*y+1204192094644*x-4372096864*y^2-20072396884*x^2+8867077024*x*y+9103103760], [416/693, true, -27648*x^2+13824*x*y-9216*y^2+165888*x+18432*y, 234299715584*y+2542147874816*x-16031229952*y^2-42256777216*x^2+26737466368*x*y-404474511360], [601/1001, true, 78732*y+314928*x-26244*y^2-52488*x^2+34992*x*y, 1150480509156*y+4502953944324*x-40327950492*y^2-74191318524*x^2+57413870496*x*y-3088489973040], [1805/3003, true, 27000+4500*x^2+1500*x*y+4500*y^2-31500*x-31500*y, -369610279500*y-154641679500*x+4988133500*y^2+1731033500*x^2+1224044500*x*y+3337959646000], [5416/9009, true, 49284-1110*x^2+2664*x*y+6660*y^2-1554*x-55944*y, -694614972590*y+292976832610*x+6224329850*y^2-6601537750*x^2+5593287640*x*y+6539719327740], [5417/9009, true, 80256-12496*x^2+9592*x*y+5984*y^2+61600*x-86240*y, -1062502697520*y+1118562659280*x+3082974912*y^2-21701858688*x^2+17981838756*x*y+10993441117248], [86/143, true, 104652-31518*x^2+24888*x*y-918*y^2+171666*x-103734*y, -1197539552484*y+2502571879566*x-8584699288*y^2-45959562238*x^2+41362116808*x*y+14024508526132], [1808/3003, true, 55296+4608*x^2+3072*x*y+4608*y^2-36864*x-36864*y, -422114525184*y-312385142784*x+5090643968*y^2+3428077568*x^2+2610061312*x*y+6912688439296], [775/1287, true, 117888+2624*x^2+4864*x*y+8384*y^2-35392*x-75712*y, -889631517852*y-216390839742*x+8420417424*y^2-322968006*x^2+6266477304*x*y+15139739295648], [5426/9009, true, 230400-3840*x^2+11520*x*y+11520*y^2-15360*x-138240*y, -1617340122112*y+78159690752*x+9990093056*y^2-9276950272*x^2+16777543936*x*y+29888854133760], [603/1001, true, 388800-16992*x^2+25728*x*y+11232*y^2+37152*x-216864*y, -2478719953512*y+724104997506*x+6356546276*y^2-25995220906*x^2+37362058024*x*y+50585062170280], [1811/3003, true, 52488+2916*x^2+2916*x*y+2916*y^2-26244*x-26244*y, -294138876636*y-252603022716*x+3140616564*y^2+2511285444*x^2+2632066164*x*y+6495932935872], [38/63, true, 140940+3078*x^2+5832*x*y+6642*y^2-41958*x-66906*y, -752415495524*y-374062419962*x+6571469408*y^2+1657793102*x^2+6400320808*x*y+17521735546980], [5435/9009, true, 331776+432*x^2+13608*x*y+11232*y^2-57888*x-144288*y, -1607601324208*y-506906652208*x+10016624192*y^2-2491269808*x^2+16503145348*x*y+41145058633536], [604/1001, true, 656100-262440*y-65610*x+14580*y^2-7290*x^2+29160*x*y, -2872857734802*y-579156253038*x+10780733394*y^2-12387968442*x^2+36476063208*x*y+81301916799900], [1814/3003, true, 27648+1152*x^2+1536*x*y+1152*y^2-11520*x-11520*y, -126768829440*y-117226053120*x+1202100224*y^2+1057512704*x^2+1437279232*x*y+3369412151296], [5443/9009, true, 112464+2112*x^2+4752*x*y+3828*y^2-31416*x-43428*y, -467206658072*y-305352837944*x+3635763512*y^2+1533765848*x^2+4863710848*x*y+13442977036416], [5444/9009, true, 344064+2048*x^2+13312*x*y+8192*y^2-69632*x-118784*y, -1257428164608*y-694582124544*x+7080321024*y^2+684343296*x^2+14417270784*x*y+40667574140928], [55/91, true, 807408-1008*x^2+30576*x*y+12852*y^2-128520*x-253260*y, -2635816643460*y-1338846589080*x+9604071932*y^2-3496635688*x^2+34040677216*x*y+95138522712688], [1817/3003, true, 5400+180*x^2+300*x*y+180*y^2-1980*x-1980*y, -21445495500*y-20765959500*x+181395500*y^2+171099500*x^2+287072500*x*y+646570210000], [5452/9009, true, 60180+986*x^2+2584*x*y+1496*y^2-15946*x-19516*y, -198695547666*y-158451554646*x+1332310086*y^2+809660826*x^2+2496303144*x*y+6803593348140], [5461/9009, true, 20304+360*x^2+864*x*y+360*y^2-5544*x-5544*y, -51745449140*y-53229266090*x+295730600*y^2+315000950*x^2+752576440*x*y+2088651420240], [5462/9009, true, 193536+2304*x^2+6912*x*y+2304*y^2-46080*x-46080*y, -428445783040*y-454227727360*x+1781756672*y^2+2074733312*x^2+6173890816*x*y+20068554482688], [607/1001, true, 734832+5832*x^2+23328*x*y+5832*y^2-157464*x-157464*y, -1453586295744*y-1592555164794*x+3996223452*y^2+5399949402*x^2+21372932808*x*y+76996889959752], [5470/9009, true, 12348+294*x^2+504*x*y+294*y^2-3822*x-3822*y, -31990405832*y-31140212642*x+228256124*y^2+217214654*x^2+374407384*x*y+1141937193588], [5471/9009, true, 134400+2480*x^2+4360*x*y+1760*y^2-37280*x-31520*y, -278691166512*y-338247830448*x+1454089536*y^2+2130869808*x^2+3425711076*x*y+13064527644480], [608/1001, true, 623700+8118*x^2+17688*x*y+4752*y^2-152658*x-122364*y, -1076800247622*y-1450212816294*x+3633990566*y^2+7405834694*x^2+14485559224*x*y+61627365400780], [5480/9009, true, 147456+3072*x^2+4608*x*y+3072*y^2-43008*x-43008*y, -372061769728*y-352881430528*x+2497759232*y^2+2279800832*x^2+3460430848*x*y+14121233596416], [87/143, true, 583200+10440*x^2+14640*x*y+7020*y^2-159840*x-129060*y, -1138098098412*y-1402777325268*x+6037666484*y^2+8711194028*x^2+10916547808*x*y+56284772199760], [610/1001, true, 708588+13122*x^2+17496*x*y+13122*y^2-196830*x-196830*y, -1747388374380*y-1615850231490*x+11046542832*y^2+9717874722*x^2+13207689576*x*y+69666237919188], [1832/3003, true, -780*x^2+1300*x*y-3900*y^2+780*x+19500*y, 272289904260*y+154358379780*x-4810912060*y^2-3024070780*x^2+1370614900*x*y-1241176719800], [5497/9009, true, -24840-5400*x^2+2160*x*y-5400*y^2+30240*x+30240*y, 392977702656*y+556580699136*x-7184324160*y^2-9309038400*x^2+4161435264*x*y-5062310882496], [5498/9009, true, -59840+49776*y+72624*x-9928*y^2-12784*x^2+7412*x*y, 667745972960*y+1119332841440*x-13753371280*y^2-18885040240*x^2+12330697720*x*y-10831916805600], [47/77, true, -102600+93024*y+125856*x-19608*y^2-23256*x^2+18544*x*y, 1333876309920*y+1855282524480*x-27138110440*y^2-32404839880*x^2+27329224720*x*y-19889603934200], [1835/3003, true, 13000+2000*x^2+1000*x*y-400*y^2-15000*x-600*y, 15672048480*y-95044039200*x-414607680*y^2+1262908800*x^2+354304800*x*y+738439221600], [5507/9009, true, -27300-4500*x^2+1500*x*y-900*y^2+30000*x+1200*y, 4818395120*y+532085615600*x-1988961340*y^2-7980634300*x^2+3868413700*x*y-5169325938180], [612/1001, true, -81200-12250*x^2+7000*x*y-4900*y^2+78750*x+12600*y, 174721714200*y+1163060256600*x-8012935800*y^2-17996153400*x^2+12496140000*x*y-13320272415600], [787/1287, true, -183600-24000*x^2+18000*x*y-14400*y^2+150000*x+54000*y, 804160607800*y+2115908311000*x-21234002080*y^2-33158981200*x^2+27846902200*x*y-30647561736120], [1838/3003, true, 23240+1876*x^2+1372*x*y+532*y^2-15372*x-7308*y, -73413652620*y-148069378380*x+653592380*y^2+1784739740*x^2+917471380*x*y+2506472987200], [5515/9009, true, 31040+1600*x^2+640*x*y+1600*y^2-13440*x-13440*y, -156917809664*y-82058729984*x+1780079360*y^2+807883520*x^2+515628544*x*y+3248690145024], [788/1287, true, 40560-520*x^2+1300*x*y+2600*y^2-1040*x-26000*y, -319287877920*y+100435563360*x+2412221040*y^2-2357363520*x^2+2432100600*x*y+4348977359040], [613/1001, true, 42368-41472*y+27648*x+2176*y^2-5504*x^2+4864*x*y, -498892613472*y+465079858848*x+858333416*y^2-8878762264*x^2+8361971824*x*y+4410150969208], [5518/9009, true, 8360-46740*y+80940*x-1748*y^2-14516*x^2+12844*x*y, -506869375100*y+1125899688100*x-5426962420*y^2-20270317540*x^2+20069731660*x*y-1081157893200], [263/429, true, 16560+864*x^2+976*x*y+384*y^2-8112*x-5232*y, -58578204432*y-91375748112*x+451482944*y^2+948415424*x^2+872131216*x*y+2038482827920], [5524/9009, true, 36180+1350*x^2+1080*x*y+1350*y^2-13230*x-13230*y, -150137363376*y-119795231556*x+1478032920*y^2+1083979260*x^2+943605936*x*y+4227740951616], [425/693, true, 78100+836*x^2+2156*x*y+2948*y^2-15312*x-32208*y, -371783243920*y-114052884880*x+2896595420*y^2-32158660*x^2+2656428340*x*y+9313998222900], [614/1001, true, 151380-1740*x^2+5800*x*y+4350*y^2-10440*x-65250*y, -743818933440*y-39459554640*x+3581692160*y^2-3533049040*x^2+7863260800*x*y+18382282656160], [1844/3003, true, 3280+116*x^2+196*x*y+68*y^2-1284*x-996*y, -15475190940*y-20810071260*x+99750420*y^2+180581940*x^2+269444340*x*y+564465072600], [503/819, true, 20520+600*x^2+720*x*y+600*y^2-6720*x-6720*y, -74468151296*y-67169586176*x+634369280*y^2+539582720*x^2+665499136*x*y+2439438932736], [5534/9009, true, 72288+864*x^2+2196*x*y+1944*y^2-15696*x-24336*y, -266030682016*y-149094479776*x+1848699824*y^2+519879344*x^2+2348752216*x*y+8516542217568], [615/1001, true, 197080+104*x^2+6448*x*y+3848*y^2-29952*x-63648*y, -683735009760*y-295258724640*x+3216463560*y^2-707539320*x^2+7379901360*x*y+23282963530200], [5536/9009, true, 416160-3060*x^2+15300*x*y+5100*y^2-45900*x-127500*y, -1338047041100*y-481860509900*x+3172517060*y^2-4610996860*x^2+17983093900*x*y+49304293461000], [1847/3003, true, -3400-80*x^2-200*x*y-80*y^2+1080*x+1080*y, 8009247840*y+8287334880*x-51759040*y^2-55972480*x^2-139186400*x*y-278391207200], [5542/9009, true, 4160+100*x^2+160*x*y+100*y^2-1260*x-1260*y, -13688167724*y-13151051144*x+101500340*y^2+94524800*x^2+152536144*x*y+493401706584], [5543/9009, true, 41580+476*x^2+1372*x*y+812*y^2-9296*x-11984*y, -122976556560*y-92583905040*x+721324980*y^2+375953940*x^2+1352271780*x*y+4693715145900], [8/13, true, 180320+874*x^2+5704*x*y+2392*y^2-33534*x-47196*y, -473916108600*y-345334829400*x+1887366200*y^2+588565400*x^2+5799330400*x*y+20253069658000], [5545/9009, true, 490304+256*x^2+15424*x*y+4096*y^2-79680*x-118080*y, -1162828764680*y-852536074280*x+2534550656*y^2-286291984*x^2+16073239864*x*y+55235136100584], [1850/3003, true, -9000-300*x^2-500*x*y-300*y^2+3300*x+3300*y, 30815527380*y+29839086420*x-260651380*y^2-245856820*x^2-412501100*x*y-929071655600], [5552/9009, true, 14800+200*x^2+500*x*y+200*y^2-3600*x-3600*y, -33582635680*y-34748649760*x+162768560*y^2+176018720*x^2+437704600*x*y+1533155708160], [617/1001, true, 133200+1200*x^2+4000*x*y+1200*y^2-28800*x-28800*y, -267133363200*y-286846702560*x+893701400*y^2+1092826040*x^2+3609230800*x*y+13953980153320], [5554/9009, true, 480600+2700*x^2+13500*x*y+2700*y^2-94500*x-94500*y, -866736020700*y-970258103100*x+1599411420*y^2+2540521260*x^2+12560013900*x*y+50932218121920], [5560/9009, true, -8460-150*x^2-360*x*y-150*y^2+2310*x+2310*y, 24313582216*y+25010781796*x-138954640*y^2-148009180*x^2-353612336*x*y-981392545056], [5561/9009, true, 10020+180*x^2+300*x*y+180*y^2-2640*x-2640*y, -22259324560*y-21554001040*x+141209420*y^2+133194380*x^2+223474900*x*y+925033299300], [618/1001, true, 100708-20502*y-25092*x+986*y^2+1496*x^2+2584*x*y, -180678505392*y-228328686432*x+815660496*y^2+1296975456*x^2+2018749824*x*y+9844369341408], [5570/9009, true, 13440+176*x^2+436*x*y+248*y^2-3152*x-3728*y, -11300113440*y-9360156960*x+66201840*y^2+44156880*x^2+124417080*x*y+452004516000], [619/1001, true, 122360+1960*x^2+2800*x*y+1960*y^2-30240*x-30240*y, -264514963680*y-248333120640*x+1617752120*y^2+1454299160*x^2+2108232400*x*y+11659151668840], [796/1287, true, 450320+6604*x^2+8788*x*y+4108*y^2-109980*x-85020*y, -749245808300*y-965185558700*x+3580406420*y^2+5543495060*x^2+6461838220*x*y+43480248466200], [620/1001, true, 213840+2574*x^2+5368*x*y+3828*y^2-47322*x-58608*y, -470555327880*y-355481466120*x+2749349480*y^2+1586987240*x^2+4007469280*x*y+19082569085200], [5581/9009, true, 598320+8640*x^2+10800*x*y+8640*y^2-140400*x-140400*y, -1262759949000*y-1150346399400*x+7397892000*y^2+6375950640*x^2+8163487800*x*y+58306535690760], [266/429, true, 15360*y+3840*x-3840*y^2-1920*x^2+2560*x*y, 224869514496*y+102786756864*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-820471700480], [5587/9009, true, -15752-3916*x^2+3344*x*y-4576*y^2+15708*x+20328*y, 287799094198*y+258835325518*x-6069044506*y^2-5692891666*x^2+4662787864*x*y-3274535650932], [508/819, true, -27648+27648*y+27648*x-6912*y^2-6912*x^2+6912*x*y, 415934880768*y+415934880768*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-5709651545088], [621/1001, true, -25272-10764*x^2+13936*x*y-11856*y^2+34164*x+43992*y, 725602126986*y+528432840342*x-16333108258*y^2-14341499302*x^2+18007587688*x*y-7942320753956], [1865/3003, true, 5936+364*x^2+1372*x*y-1316*y^2-6300*x+3780*y, 70637726940*y-48601072740*x-1663416148*y^2+143232332*x^2+1186295116*x*y+168299440168], [5596/9009, true, -6936+7616*y+476*x-1360*y^2-340*x^2+544*x*y, 107390142090*y+52854125940*x-1684839150*y^2-976579200*x^2+580323960*x*y-1790746078140], [5597/9009, true, -28000-2000*x^2+1000*x*y-2000*y^2+12000*x+12000*y, 158613026000*y+206746826000*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-4879857684000], [622/1001, true, -59524+21114*y+27324*x-4094*y^2-4784*x^2+3496*x*y, 295546516056*y+410739914376*x-5628507016*y^2-6792076696*x^2+5286377344*x*y-9964300416896], [509/819, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [1868/3003, true, 10240+512*x^2+1024*x*y-256*y^2-6144*x-1536*y, -6891236352*y-71297791488*x-379786752*y^2+596070144*x^2+968398848*x*y+1143697397760], [5605/9009, true, 8160+576*x^2+384*x*y-144*y^2-5376*x-336*y, 4690972594*y-41529306896*x-156660934*y^2+443602436*x^2+191478424*x*y+581055188220], [89/143, true, -19040+720*y+11520*x-400*y^2-1600*x^2+640*x*y, 6600572550*y+190257724800*x-785544750*y^2-2640667500*x^2+1437744600*x*y-3371345639100], [5608/9009, true, -61440+7680*y+30720*x-2304*y^2-4608*x^2+3072*x*y, 112224893440*y+439245621760*x-3540451072*y^2-6513366784*x^2+5040449536*x*y-9826389135360], [5609/9009, true, -151200-9408*x^2+8064*x*y-7056*y^2+59136*x+33264*y, 499551333578*y+838350914192*x-9997585222*y^2-12797581756*x^2+11738123608*x*y-24945951102420], [1871/3003, true, 3600+108*x^2+292*x*y+12*y^2-1524*x-948*y, -14774830356*y-28822198548*x-9811516*y^2+203027396*x^2+467345164*x*y+685116186040], [5615/9009, true, 14688+432*x^2+216*x*y+432*y^2-4320*x-4320*y, -50062296240*y-31517236080*x+480655944*y^2+269916624*x^2+176467572*x*y+1562032195776], [48/77, true, 20808-204*x^2+544*x*y+816*y^2-612*x-9792*y, -118164063402*y+23153820228*x+742531586*y^2-684921784*x^2+902089624*x*y+2235896928988], [5617/9009, true, 19888-2068*x^2+2156*x*y+572*y^2+9900*x-16500*y, -191430981500*y+152646290500*x+49149212*y^2-3078825988*x^2+3382264876*x*y+1924740015048], [1874/3003, true, -7168-128*x^2-512*x*y-128*y^2+2304*x+2304*y, 13340811264*y+14616248064*x-55015168*y^2-74339968*x^2-294236672*x*y-471111108608], [5623/9009, true, 2520+68*x^2+112*x*y+32*y^2-868*x-616*y, -8585201394*y-12871292742*x+42306678*y^2+97970202*x^2+138378888*x*y+397191095100], [5624/9009, true, 11264+256*x^2+256*x*y+256*y^2-3072*x-3072*y, -34430522368*y-29568529408*x+275719424*y^2+220469504*x^2+231073024*x*y+1309445538816], [5626/9009, true, 76800-640*x^2+2560*x*y+1280*y^2-6400*x-25600*y, -280236084480*y-56494437120*x+946456704*y^2-1087558272*x^2+3202288128*x*y+9098731330560], [5627/9009, true, 129272-3068*x^2+6448*x*y+832*y^2-1716*x-44616*y, -466173382906*y-9455821606*x-238237258*y^2-4012762558*x^2+8181819688*x*y+15162158367132], [1877/3003, true, -16400-340*x^2-980*x*y-580*y^2+4980*x+6420*y, 56124407196*y+42253718364*x-438933924*y^2-228771972*x^2-822871764*x*y-1593656321400], [512/819, true, -2112-36*x^2-96*x*y-36*y^2+588*x+588*y, 4248414478*y+4435406668*x-22349506*y^2-24777976*x^2-65649416*x*y-170233999572], [5633/9009, true, 2592+48*x^2+72*x*y+48*y^2-672*x-672*y, -7334429872*y-6956329072*x+49238168*y^2+44941568*x^2+68215252*x*y+305390266272], [626/1001, true, 23188+176*x^2+616*x*y+374*y^2-4356*x-6138*y, -63733483044*y-43491249648*x+330120252*y^2+125653248*x^2+627304608*x*y+2628136169064], [805/1287, true, 91728+108*x^2+2628*x*y+972*y^2-14220*x-22860*y, 10419736079544-33221596*x^2+2783956684*x*y+711766436*y^2-149463242060*x-231411925580*y], [5636/9009, true, 225000-900*x^2+7200*x*y+1200*y^2-29700*x-52800*y, -518466348334*y-329751009676*x+357255266*y^2-1202375632*x^2+7855181176*x*y+25629337873620], [1880/3003, true, -36864-1536*x^2-2048*x*y-1536*y^2+15360*x+15360*y, 142712148480*y+131969207040*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-3793172575232], [5641/9009, true, -6656-160*x^2-256*x*y-160*y^2+2016*x+2016*y, 18814916890*y+18076629340*x-139516150*y^2-129928000*x^2-209666840*x*y-678199762740], [57/91, true, 9216+96*x^2+256*x*y+96*y^2-2016*x-2016*y, -18787190994*y-19614101364*x+76870274*y^2+85222904*x^2+225798664*x*y+960992655844], [5644/9009, true, 77824+512*x^2+2048*x*y+512*y^2-15360*x-15360*y, -141791682560*y-155347554560*x+350834432*y^2+474069632*x^2+1876361728*x*y+8233949282304], [5645/9009, true, 262656+864*x^2+6912*x*y+864*y^2-47520*x-47520*y, -429876858510*y-498777790500*x+261899082*y^2+831328272*x^2+6581604456*x*y+28118805292188], [5650/9009, true, -46020+12194*y+14924*x-754*y^2-1144*x^2-1976*x*y, 112904909964*y+142681221144*x-655330284*y^2-1042035624*x^2-1621934496*x*y-4696229217960], [5651/9009, true, -5920-80*x^2-200*x*y-80*y^2+1440*x+1440*y, 15105160400*y+15629622800*x-73211800*y^2-79171600*x^2-196875500*x*y-689599324800], [628/1001, true, 7040+100*x^2+160*x*y+100*y^2-1620*x-1620*y, -13800010950*y-13258505700*x+79589750*y^2+74120000*x^2+119608600*x*y+651464644900], [5653/9009, true, 65520+812*x^2+1372*x*y+476*y^2-14980*x-11620*y, -101761104060*y-136841983740*x+393560748*y^2+712477836*x^2+1063080396*x*y+6426485631720], [514/819, true, 270020+2392*x^2+5704*x*y+874*y^2-57684*x-40986*y, -348803809552*y-557198926768*x+539262608*y^2+2261536304*x^2+4686827008*x*y+27031819912320], [5660/9009, true, -64512-768*x^2-2304*x*y-768*y^2+15360*x+15360*y, 158628715520*y+168174279680*x-659681536*y^2-768153856*x^2-2285835008*x*y-7430226054144], [629/1001, true, 11848+116*x^2+304*x*y+176*y^2-2412*x-2952*y, -13020220422*y-10383092082*x+67903326*y^2+41265666*x^2+127228104*x*y+575588464668], [5662/9009, true, 89088+1152*x^2+1536*x*y+1152*y^2-19200*x-19200*y, -170450931200*y-157619897600*x+969792512*y^2+853146752*x^2+1159522816*x*y+8492314672128], [809/1287, true, 304920+3828*x^2+4752*x*y+2112*y^2-68244*x-49368*y, -433617030946*y-598269396538*x+1874464934*y^2+3235228286*x^2+3418293784*x*y+29394023403180], [90/143, true, -18900-144*x^2-536*x*y-246*y^2+3708*x+4626*y, 114433780032*y+93093353496*x-507500032*y^2-291940168*x^2-1296793472*x*y-5209707342320], [5671/9009, true, 173200+1580*x^2+3380*x*y+2540*y^2-32700*x-42300*y, -352180837580*y-251270153420*x+1882246964*y^2+964877108*x^2+2638794028*x*y+15755484839640], [5672/9009, true, 447552+5292*x^2+6048*x*y+5292*y^2-91476*x-91476*y, -836721817866*y-745465196916*x+4629031902*y^2+3874844952*x^2+4572048888*x*y+43475311201212], [172/273, true, 8748*y+8748*x-2916*y^2-2916*x^2+2916*x*y, 131604395868*y+131604395868*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-358921079640], [811/1287, true, -3240-3672*x^2+3888*x*y-2808*y^2+12096*x+6048*y, 104639483872*y+167316222304*x-4042558552*y^2-4856542168*x^2+5367208432*x*y-910211896200], [5678/9009, true, 10368+2160*y+10800*x-3672*y^2-4752*x^2+6804*x*y, 91025987360*y+144810770720*x-5461918672*y^2-6073109392*x^2+8855064904*x*y+429967136928], [1895/3003, true, 1512-576*x^2+1464*x*y-1296*y^2-936*x+3384*y, 60214579656*y-961242744*x-1756303024*y^2-829396624*x^2+1687921816*x*y-122922576392], [5686/9009, true, -6084+4914*y+2184*x-1170*y^2-780*x^2+936*x*y, 73017239680*y+41712766480*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-1224347602080], [517/819, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [632/1001, true, -13500-2250*x^2+3000*x*y-2250*y^2+6750*x+6750*y, 119996514000*y+99536926500*x-3156133000*y^2-2949470500*x^2+3888094000*x*y-2844673658000], [5689/9009, true, -3744-3264*x^2+6048*x*y-4224*y^2+2400*x+12000*y, 242986612000*y+60557965600*x-5913432832*y^2-4254990592*x^2+7408927264*x*y-3246505140192], [146/231, true, 4968-36*x^2+876*x*y-324*y^2-2412*x-684*y, 356174412*y-32081348244*x-541373908*y^2-49896292*x^2+1071954652*x*y+601072044496], [5695/9009, true, 2016+32*x^2+448*x*y-352*y^2-1792*x+896*y, 18999265824*y-16534270368*x-466934328*y^2-5459832*x^2+440381232*x*y+45684788184], [5696/9009, true, -3600-120*x^2+180*x*y-360*y^2+240*x+2160*y, 30908714144*y+13535414816*x-451169104*y^2-253745248*x^2+199867432*x*y-775630677120], [633/1001, true, -12096-576*x^2+384*x*y-576*y^2+3456*x+3456*y, 47249985024*y+55580050944*x-771153664*y^2-855295744*x^2+587762176*x*y-2014141117184], [74/117, true, 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263208791736*y+263208791736*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-13387756270572], [272/429, true, -10800-36*x^2-876*x*y-324*y^2+2844*x+4572*y, 31994548476*y+20664487932*x-164012332*y^2+7655252*x^2-641507108*x*y-856354601960], [5713/9009, true, -2376-24*x^2-144*x*y-24*y^2+672*x+672*y, 2560251232*y+2910299392*x-4983304*y^2-9529384*x^2-56533424*x*y-105719984856], [5714/9009, true, 1440+32*x^2+52*x*y+8*y^2-464*x-272*y, -3238003296*y-6212603232*x+8535024*y^2+42337296*x^2+56520936*x*y+202515055200], [635/1001, true, 3672+72*x^2+48*x*y+72*y^2-864*x-864*y, -9893309184*y-7321526784*x+79541312*y^2+53563712*x^2+40782208*x*y+405729080512], [5716/9009, true, 7200-2700*y-300*x+180*y^2-60*x^2+180*x*y, -31588674260*y+1526556460*x+156095204*y^2-144952348*x^2+262149124*x*y+811188257640], [5717/9009, true, 7560-616*x^2+784*x*y+56*y^2+2464*x-4928*y, -53658880704*y+34188815232*x-114226632*y^2-840240648*x^2+1115376912*x*y+748330357320], [1906/3003, true, -14256-1944*x^2+2196*x*y-864*y^2+10152*x-2808*y, -11236761888*y+130497150432*x-1430745664*y^2-2504487424*x^2+3031745296*x*y-2739016423616], [1907/3003, true, -24840-576*x^2-1464*x*y-1296*y^2+7848*x+12168*y, 108092766408*y+60579609288*x-1001544016*y^2-281647696*x^2-1272450344*x*y-2449258075880], [5722/9009, true, -8820-112*x^2-392*x*y-238*y^2+2156*x+3038*y, 26188181712*y+17870618304*x-174403152*y^2-66382848*x^2-331406208*x*y-834567239520], [5723/9009, true, -972-12*x^2-36*x*y-12*y^2+240*x+240*y, 1644661040*y+1743629360*x-6839572*y^2-7964212*x^2-23699516*x*y-75165920172], [636/1001, true, 1188+18*x^2+24*x*y+18*y^2-270*x-270*y, -2971144440*y-2747485620*x+18782816*y^2+16523636*x^2+22457488*x*y+138971627536], [5725/9009, true, 9072+32*x^2+208*x*y+128*y^2-1360*x-2320*y, -24559143840*y-13566057120*x+110630016*y^2+10692864*x^2+225269856*x*y+1039549853664], [818/1287, true, 30420-156*x^2+936*x*y+234*y^2-3432*x-7722*y, -78718480192*y-37473084352*x+119557184*y^2-221313856*x^2+1062017536*x*y+3506139598080], [1909/3003, true, 56700-972*x^2+2628*x*y-108*y^2-4104*x-14472*y, -136229960328*y-49888990536*x-509603332*y^2-1163701588*x^2+3083296972*x*y+6355380876460], [1910/3003, true, -52488-2916*x^2-2916*x*y-2916*y^2+26244*x+26244*y, 240168440556*y+206253844236*x-2564356644*y^2-2050499124*x^2-2149118244*x*y-5304018635712], [521/819, true, -24624-720*x^2-864*x*y-720*y^2+8064*x+8064*y, 74605041280*y+67293059680*x-635535400*y^2-540574600*x^2-666722480*x*y-2443923195480], [5732/9009, true, -3888-72*x^2-108*x*y-72*y^2+1008*x+1008*y, 9396182048*y+8911794848*x-63079312*y^2-57574912*x^2-87390968*x*y-391237299648], [5734/9009, true, 4536+36*x^2+108*x*y+36*y^2-900*x-900*y, -8368081700*y-8871635300*x+27839948*y^2+32417708*x^2+96467044*x*y+476630253648], [5735/9009, true, 34992+144*x^2+864*x*y+144*y^2-6336*x-6336*y, -57797448544*y-65699755264*x+71589416*y^2+136897736*x^2+812150896*x*y+3741707499768], [820/1287, true, -86904-2958*x^2-3672*x*y-1632*y^2+33558*x+24276*y, 214904227384*y+296507316952*x-1459857928*y^2-2519638312*x^2-2662212128*x*y-8426810947056], [5741/9009, true, -29700-580*x^2-980*x*y-340*y^2+8560*x+6640*y, 60400139184*y+81222338736*x-291996684*y^2-528612588*x^2-788737068*x*y-3015459562500], [58/91, true, -3456-36*x^2-96*x*y-36*y^2+756*x+756*y, 7887191004*y+8234342424*x-32271484*y^2-35778064*x^2-94794224*x*y-403441506104], [5743/9009, true, 4104+48*x^2+72*x*y+48*y^2-840*x-840*y, -7266831440*y-6892215440*x+39027488*y^2+35621888*x^2+54069232*x*y+382235051664], [5744/9009, true, 34848+374*x^2+616*x*y+176*y^2-7502*x-5324*y, -45949649328*y-68889634704*x+144094032*y^2+333680688*x^2+471310272*x*y+3419916386976], [1915/3003, true, 132516+972*x^2+2628*x*y+108*y^2-27432*x-17064*y, -137635050696*y-268493421768*x-45699628*y^2+945651668*x^2+2176778812*x*y+13242782356804], [639/1001, true, -39960-360*x^2-1200*x*y-360*y^2+8640*x+8640*y, 88399872000*y+94923417600*x-295744000*y^2-361638400*x^2-1194368000*x*y-4617656307200], [5752/9009, true, 9360+68*x^2+196*x*y+116*y^2-1660*x-2140*y, -12428481780*y-9356884020*x+58319892*y^2+30396276*x^2+109332612*x*y+595166984280], [523/819, true, 55080+600*x^2+720*x*y+600*y^2-10560*x-10560*y, -95725210240*y-86343257440*x+518923400*y^2+441386600*x^2+544388080*x*y+5272729339320], [274/429, true, 172368+1944*x^2+2196*x*y+864*y^2-36504*x-23544*y, -204297539424*y-318682361184*x+787296704*y^2+1653848384*x^2+1520823856*x*y+16498462264768], [640/1001, true, -183708-1458*x^2-5832*x*y-1458*y^2+39366*x+39366*y, 396092923776*y+433961047476*x-1088945208*y^2-1471451508*x^2-5823986832*x*y-20981157675408], [5762/9009, true, 124740+864*x^2+1944*x*y+1566*y^2-20196*x-27918*y, -242896956544*y-158750466688*x+1202857088*y^2+507431552*x^2+1609111552*x*y+11677132162560], [1921/3003, true, 288684+2916*x^2+2916*x*y+2916*y^2-52488*x-52488*y, -491130968328*y-421777524168*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+28017695255004], [1922/3003, true, -3840*x^2+2560*x*y-1920*y^2+15360*x+3840*y, 55270330368*y+216326787072*x-2906097664*y^2-5346347008*x^2+4137336832*x*y-98916270080], [824/1287, true, 40960-4096*x^2+6656*x*y-1024*y^2+6144*x-18432*y, -173047097344*y+74443347968*x-2367874048*y^2-5180265472*x^2+8668636672*x*y+4972765593600], [641/1001, true, 102816-4032*x^2+10192*x*y-1932*y^2-9576*x-28476*y, -242450325216*y-126106574616*x-3757132192*y^2-4932321592*x^2+12412250752*x*y+12207672606976], [25/39, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [5776/9009, true, -6084-1170*x^2+936*x*y-780*y^2+4914*x+2184*y, 32552921170*y+68932995670*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-998882952420], [5777/9009, true, -1344-1248*y+4512*x-576*y^2-1296*x^2+1464*x*y, -5043332272*y+58570297808*x-963230224*y^2-1686112384*x^2+2041081636*x*y-372014318016], [642/1001, true, 14476-1474*x^2+2728*x*y-814*y^2+990*x-4950*y, -33335250300*y+10943823330*x-1386895392*y^2-1834158762*x^2+3447230184*x*y+1464894009468], [5779/9009, true, 45000-1500*x^2+4500*x*y-1500*y^2-7500*x-7500*y, -32700222500*y-94228722500*x-2402549500*y^2-1843199500*x^2+5399648500*x*y+4791100560000], [445/693, true, -1120-272*x^2+448*x*y-368*y^2+336*x+1008*y, 17875939312*y+6781712014*x-512672692*y^2-368591818*x^2+561035272*x*y-278775115920], [526/819, true, -3072+1024*y+1024*x-256*y^2-256*x^2+256*x*y, 15404995584*y+15404995584*x-350113536*y^2-350113536*x^2+350113536*x*y-522369395712], [643/1001, true, -2656-368*x^2+448*x*y-272*y^2+1296*x+432*y, 9844931844*y+17504678862*x-400347544*y^2-477718726*x^2+601807576*x*y-488496379592], [827/1287, true, 13728-592*x^2+1984*x*y-1072*y^2-4400*x+880*y, 47591173080*y-48698653410*x-1563823692*y^2-768040002*x^2+2341016424*x*y+729709242048], [1931/3003, true, 1656-108*x^2+292*x*y-12*y^2-228*x-804*y, -14120506092*y-5171093004*x-105642796*y^2-241239964*x^2+639179716*x*y+362561558128], [5794/9009, true, 1404-54*x^2+216*x*y-54*y^2-378*x-378*y, -3345302268*y-5957170758*x-115397784*y^2-81477414*x^2+317686536*x*y+197935569324], [5795/9009, true, 448-16*x^2+104*x*y-64*y^2-288*x+96*y, 2905623248*y-3128985904*x-92108272*y^2-23533168*x^2+118179652*x*y+16782946944], [92/143, true, -900-30*x^2+40*x*y-60*y^2+90*x+360*y, 5270379246*y+2409064614*x-77154646*y^2-48252478*x^2+47836984*x*y-172152732500], [527/819, true, -2376+540*y+540*x-108*y^2-108*x^2+108*x*y, 8123728140*y+8123728140*x-147704148*y^2-147704148*x^2+147704148*x*y-397619566416], [446/693, true, -4004-238*x^2+392*x*y-322*y^2+462*x+1386*y, 24230962448*y+9192658706*x-442229116*y^2-317945614*x^2+483946456*x*y-842095318932], [1933/3003, true, -6336-384*x^2+976*x*y-864*y^2-1248*x+4512*y, 81385123512*y-1299201288*x-1186896424*y^2-560500024*x^2+1140684916*x*y-2065196731136], [1934/3003, true, -5120+128*x^2-512*x*y-256*y^2+768*x+3072*y, 15550672896*y+3134951424*x-87533568*y^2+100583424*x^2-296165376*x*y-293389516800], [829/1287, true, -1872+24*x^2-144*x*y-36*y^2+336*x+756*y, 2527311556*y+1203099436*x-6031876*y^2+11165684*x^2-53580704*x*y-71373739632], [645/1001, true, 400+8*x^2+16*x*y-4*y^2-144*x-36*y, -161513352*y-1671041988*x-5934168*y^2+9313596*x^2+15131232*x*y+44783785440], [5807/9009, true, -1680+132*y+528*x-36*y^2-72*x^2+48*x*y, 1928865356*y+7549534124*x-55319548*y^2-101771356*x^2+78757024*x*y-265865920080], [176/273, true, -8192-256*x^2+256*x*y-256*y^2+1536*x+1536*y, 23107493376*y+23107493376*x-350113536*y^2-350113536*x^2+350113536*x*y-1369644152832], [5809/9009, true, -28080+7020*y+3120*x-900*y^2-600*x^2+720*x*y, 106346537440*y+60752889340*x-1207562800*y^2-888726100*x^2+927761440*x*y-5201945093760], [149/231, true, -16600-380*x^2-980*x*y-1340*y^2+5220*x+10980*y, 91669301988*y+28121623332*x-952271284*y^2+10572332*x^2-873315068*x*y-1524710008640], [5813/9009, true, -2880-16*x^2-104*x*y-64*y^2+544*x+928*y, 7656674256*y+4229417808*x-43113168*y^2-4167072*x^2-87788988*x*y-258028303680], [646/1001, true, -244-2*x^2-8*x*y-2*y^2+54*x+54*y, 312675264*y+342568314*x-859612*y^2-1161562*x^2-4597448*x*y-16255636484], [5815/9009, true, 296-60*y-60*x+4*y^2+4*x^2+4*x*y, -672471140*y-577510340*x+4308116*y^2+3444836*x^2+3610516*x*y+33989593824], [5816/9009, true, 1500-10*x^2+40*x*y+20*y^2-110*x-440*y, -4816557702*y-970998138*x+14788386*y^2-16993098*x^2+50035752*x*y+174443259420], [277/429, true, 1856-128*x^2+208*x*y-32*y^2+288*x-864*y, -7978916616*y+3432460152*x-72785848*y^2-159235672*x^2+266464372*x*y+171577061344], [5818/9009, true, -9460-506*x^2+616*x*y-374*y^2+2574*x+858*y, 19159685116*y+34066679218*x-539401288*y^2-643646002*x^2+810834952*x*y-1648996329540], [1940/3003, true, -36864-3072*x^2-2048*x*y-3072*y^2+24576*x+24576*y, 214918066176*y+159049752576*x-2591882752*y^2-1745393152*x^2-1328903168*x*y-3519570028544], [5821/9009, true, -28944-1080*x^2-864*x*y-1080*y^2+10584*x+10584*y, 94867015320*y+75694789170*x-933921900*y^2-684931950*x^2-596234520*x*y-2671374777120], [5822/9009, true, -11264-256*x^2-256*x*y-256*y^2+3072*x+3072*y, 28112995328*y+24143111168*x-225128704*y^2-180016384*x^2-188674304*x*y-1069180302336], [647/1001, true, -1584-24*x^2-32*x*y-24*y^2+360*x+360*y, 3344815980*y+3093028290*x-21145072*y^2-18601762*x^2-25281896*x*y-156449654312], [5825/9009, true, 1456+8*x^2+32*x*y+8*y^2-264*x-264*y, -2437044544*y-2670036094*x+5481788*y^2+7407338*x^2+29318152*x*y+154733799696], [5827/9009, true, 18576-216*x^2+864*x*y-216*y^2-2808*x-2808*y, -18109371852*y-32248392462*x-336372264*y^2-237497994*x^2+926022456*x*y+1855273606344], [530/819, true, -88740-4182*x^2-3672*x*y-1938*y^2+42126*x+26418*y, 220637981872*y+333182840914*x-1755509692*y^2-3217131238*x^2-2219837288*x*y-7961125943700], [833/1287, true, -48192-1296*x^2-1464*x*y-576*y^2+16224*x+10464*y, 88916227664*y+138699827024*x-513981616*y^2-1079704336*x^2-992860124*x*y-4511474026752], [648/1001, true, -14756-238*x^2-392*x*y-112*y^2+3906*x+2772*y, 24371285994*y+36538450542*x-93409794*y^2-216310446*x^2-305529624*x*y-1472528345652], [5833/9009, true, -1512-12*x^2-36*x*y-12*y^2+300*x+300*y, 3098217100*y+3284653900*x-10307524*y^2-12002404*x^2-35716172*x*y-176468640624], [5834/9009, true, 1788+18*x^2+24*x*y+18*y^2-330*x-330*y, -2929625380*y-2709091990*x+15153008*y^2+13330418*x^2+18117544*x*y+168502321068], [1945/3003, true, 13120+128*x^2+208*x*y+32*y^2-2784*x-1632*y, -13409557128*y-25728280776*x+23564088*y^2+116887752*x^2+156046932*x*y+1276644680640], [5836/9009, true, 42588+234*x^2+936*x*y-156*y^2-9126*x-4056*y, -25530445226*y-90786699146*x-220165366*y^2+236172074*x^2+797399896*x*y+4130685262188], [5840/9009, true, -172032-4096*x^2-6656*x*y-1024*y^2+59392*x+34816*y, 279312979968*y+535904557056*x-736238592*y^2-3652051968*x^2-4875545088*x*y-16072141602816], [59/91, true, -78400-1040*x^2-2480*x*y-380*y^2+20520*x+14580*y, 125382658896*y+200293348464*x-236922736*y^2-993596368*x^2-2059137536*x*y-7895830711040], [5842/9009, true, -19456-128*x^2-512*x*y-128*y^2+3840*x+3840*y, 38637322240*y+42331210240*x-95600128*y^2-129180928*x^2-511296512*x*y-2243698262016], [5843/9009, true, 6336+32*x^2+112*x*y+68*y^2-968*x-1364*y, -9868287132*y-6734044944*x+41821164*y^2+15918336*x^2+79469856*x*y+498967795008], [1948/3003, true, 26624+256*x^2+256*x*y+256*y^2-4608*x-4608*y, -43117122048*y-37028479488*x+230187776*y^2+184061696*x^2+192914176*x*y+2562542854144], [5851/9009, true, -96120-540*x^2-2700*x*y-540*y^2+18900*x+18900*y, 186108961500*y+208337629500*x-343431900*y^2-545510700*x^2-2696935500*x*y-10936365854400], [76/117, true, 11740+38*x^2+248*x*y+104*y^2-1782*x-2508*y, -5792307994*y-4220759026*x+18873662*y^2+5885654*x^2+57993304*x*y+302661366780], [1951/3003, true, 76608+384*x^2+976*x*y+864*y^2-10464*x-16224*y, -149108203464*y-83566338504*x+690788264*y^2+194258984*x^2+877638676*x*y+7448005325728], [5854/9009, true, 149580+1350*x^2+1080*x*y+1350*y^2-24570*x-24570*y, -237462156360*y-189472049910*x+1258764300*y^2+923169150*x^2+803620440*x*y+14438109233340], [1952/3003, true, -3900*x^2+1300*x*y-780*y^2+19500*x+780*y, 2976458100*y+328684240500*x-1638183100*y^2-6573149500*x^2+3186170500*x*y-1338275000], [5857/9009, true, 20680-3784*x^2+3344*x*y+1496*y^2+14784*x-22176*y, -255358892096*y+238051785664*x+564864656*y^2-5843066224*x^2+5502969184*x*y+2684721845040], [1955/3003, true, -7000-2000*x^2+1000*x*y-2000*y^2+9000*x+9000*y, 114115254000*y+148745454000*x-2552692000*y^2-3077392000*x^2+1647346000*x*y-1307751362000], [838/1287, true, -6936-1360*x^2+544*x*y-340*y^2+7616*x+476*y, 4177833660*y+120423663360*x-639270900*y^2-2148957000*x^2+1170026640*x*y-1177159010760], [5867/9009, true, 8876-1316*x^2+1372*x*y+364*y^2+5040*x-8400*y, -94293245200*y+75189052400*x+30261812*y^2-1895673388*x^2+2082504676*x*y+948673189548], [652/1001, true, 36872-1298*x^2+2728*x*y+352*y^2-594*x-15444*y, -159825514464*y-3241887264*x-99829408*y^2-1681482208*x^2+3428457088*x*y+4360407282112], [5869/9009, true, 70224-1024*x^2+3856*x*y-64*y^2-9040*x-18640*y, -179827405560*y-110139087960*x-613992096*y^2-1247522256*x^2+4497573384*x*y+8288557606296], [178/273, true, -2744-1372*x^2+1372*x*y-1372*y^2+4116*x+4116*y, 61920861156*y+61920861156*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-585433596384], [5875/9009, true, -5952-576*x^2+384*x*y-576*y^2+2688*x+2688*y, 35753753728*y+42057059968*x-750248896*y^2-832110016*x^2+571828864*x*y-981347819712], [452/693, true, -3600+240*y+2160*x-120*y^2-360*x^2+180*x*y, 2953452128*y+32044904672*x-202080784*y^2-532665472*x^2+337037656*x*y-578747532480], [653/1001, true, 3040-352*x^2+448*x*y+32*y^2+1152*x-2304*y, -24706389312*y+15741703296*x-64281384*y^2-472847976*x^2+627681744*x*y+311556796200], [5878/9009, true, 13224-324*x^2+876*x*y-36*y^2-1140*x-4020*y, -38898458060*y-14245066220*x-174611668*y^2-398733412*x^2+1056468028*x*y+1534585804752], [5879/9009, true, 23616-192*x^2+1152*x*y-192*y^2-4224*x-4224*y, -36674159104*y-54460578304*x-381690112*y^2-234694912*x^2+1369564672*x*y+2841541337856], [1961/3003, true, 1008-864*x^2+976*x*y-384*y^2+2256*x-624*y, -2890785216*y+33571881024*x-736151296*y^2-1288615936*x^2+1559902144*x*y+109427783872], [5884/9009, true, -980-322*x^2+392*x*y-238*y^2+882*x+294*y, 7109607736*y+12641164228*x-371718832*y^2-443557228*x^2+558772528*x*y-205268756400], [535/819, true, -1404+432*y+432*x-108*y^2-108*x^2+108*x*y, 6498982512*y+6498982512*x-147704148*y^2-147704148*x^2+147704148*x*y-236769749244], [654/1001, true, -900-60*x^2+40*x*y-30*y^2+360*x+90*y, 1295398368*y+5070159072*x-45407776*y^2-83536672*x^2+64645888*x*y-140428655360], [841/1287, true, 664-64*x^2+104*x*y-16*y^2+120*x-360*y, -3379826120*y+1453971640*x-36998032*y^2-80941648*x^2+135447448*x*y+63912104088], [5888/9009, true, 3348-54*x^2+216*x*y-54*y^2-594*x-594*y, -4250262456*y-7568685036*x-93300336*y^2-65875356*x^2+256852944*x*y+372774068352], [151/231, true, 6300-12*x^2+292*x*y-108*y^2-1608*x-456*y, 253239096*y-22809756552*x-192457732*y^2-17738068*x^2+381078508*x*y+771954150220], [1964/3003, true, 848-188*x^2+196*x*y+52*y^2+540*x-900*y, -21284640300*y+16972286100*x+9107924*y^2-570542476*x^2+626773252*x*y+230181119896], [5893/9009, true, 504-88*x^2+112*x*y+8*y^2+224*x-448*y, -8018220672*y+5108818176*x-26822448*y^2-197303472*x^2+261910368*x*y+93426770736], [842/1287, true, 224-32*x^2+52*x*y-8*y^2+48*x-144*y, -1794150688*y+771827936*x-24550096*y^2-53708944*x^2+89876344*x*y+29757722208], [536/819, true, -96+20*y+20*x-4*y^2-4*x^2+4*x*y, 300878820*y+300878820*x-5470524*y^2-5470524*x^2+5470524*x*y-15941106936], [1966/3003, true, 464-8*x^2+52*x*y-32*y^2-216*x+72*y, 2242514208*y-2414901984*x-47391808*y^2-12108352*x^2+60806128*x*y+11795651776], [5899/9009, true, 1464+8*x^2+112*x*y-88*y^2-832*x+416*y, 11012313312*y-9583557984*x-145731096*y^2-1704024*x^2+137443824*x*y-22010094792], [281/429, true, -2600+80*x^2-200*x*y-400*y^2+120*x+3000*y, 10277506800*y-3232904400*x-103528800*y^2+101174400*x^2-104382000*x*y-96245658000], [454/693, true, -2040+36*x^2-96*x*y-144*y^2+84*x+1344*y, 5968538884*y-1169513576*x-48221644*y^2+44480336*x^2-58583696*x*y-84873489480], [5903/9009, true, -900+12*x^2-36*x*y-36*y^2+48*x+432*y, 2245244144*y-108503824*x-13868572*y^2+12878564*x^2-23291132*x*y-45629385060], [656/1001, true, -200+2*x^2-8*x*y-4*y^2+18*x+72*y, 364468896*y+73475424*x-1367712*y^2+1571616*x^2-4627584*x*y-10780827840], [179/273, true, -140-4*x^2+4*x*y-4*y^2+24*x+24*y, 361054584*y+361054584*x-5470524*y^2-5470524*x^2+5470524*x*y-23222374380], [844/1287, true, -1200-18*x^2+24*x*y-36*y^2+78*x+312*y, 4813758664*y+2200345576*x-48786952*y^2-30511336*x^2+30248608*x*y-239427038160], [5909/9009, true, -5400+1512*y+168*x-144*y^2-48*x^2+72*x*y, 24638974976*y+10789796864*x-205514752*y^2-115585024*x^2+91042816*x*y-1271929635840], [1970/3003, true, -9000-1500*x^2-500*x*y-1500*y^2+10500*x+10500*y, 75270178500*y+31492378500*x-1015820500*y^2-352520500*x^2-249273500*x*y-679766858000], [5911/9009, true, -12416-640*x^2-256*x*y-640*y^2+5376*x+5376*y, 41520223360*y+21712620160*x-471006400*y^2-213764800*x^2-136434560*x*y-859598669760], [5912/9009, true, -7344-216*x^2-108*x*y-216*y^2+2160*x+2160*y, 17830406880*y+11225316960*x-171192528*y^2-96134688*x^2-62851464*x*y-556340234112], [657/1001, true, -2448-48*x^2-32*x*y-48*y^2+576*x+576*y, 5037142176*y+3727728576*x-40498168*y^2-27271768*x^2-20764112*x*y-206575476968], [5914/9009, true, -296-4*x^2-4*x*y-4*y^2+60*x+60*y, 549081940*y+471545140*x-3517636*y^2-2812756*x^2-2948036*x*y-27752971104], [538/819, true, -4968+756*y+756*x-108*y^2-108*x^2+108*x*y, 11373219396*y+11373219396*x-147704148*y^2-147704148*x^2+147704148*x*y-826552412208], [5920/9009, true, -47892-3406*x^2-1976*x*y-1066*y^2+30758*x+14378*y, 102053353248*y+191200415868*x-928482696*y^2-2086236756*x^2-793771056*x*y-3473155830672], [5921/9009, true, -35500-1340*x^2-980*x*y-380*y^2+14640*x+6960*y, 50948770928*y+102759535472*x-340192804*y^2-928951492*x^2-477541004*x*y-2784053854860], [5923/9009, true, -4536-64*x^2-104*x*y-16*y^2+1160*x+680*y, 5455331640*y+10466885880*x-11503728*y^2-57063312*x^2-76180392*x*y-430585027848], [5924/9009, true, -364-2*x^2-8*x*y-2*y^2+66*x+66*y, 664078976*y+727567676*x-1493752*y^2-2018452*x^2-7989008*x*y-42163965984], [1975/3003, true, 428+4*x^2+4*x*y+4*y^2-72*x-72*y, -673705032*y-578569992*x+3596684*y^2+2875964*x^2+3014284*x*y+41003739868], [5926/9009, true, 2100+20*x^2+40*x*y-10*y^2-520*x-130*y, -460972512*y-4769292528*x-11725344*y^2+18402768*x^2+29897856*x*y+185851838880], [5927/9009, true, 2480-32*x^2+208*x*y-128*y^2-1008*x+336*y, 8692756688*y-9360991024*x-157463104*y^2-40230976*x^2+202033264*x*y+46017540720], [5930/9009, true, -129024-4368*x^2-5292*x*y-168*y^2+56112*x+22512*y, 145092893792*y+440126832992*x-69413008*y^2-3422071408*x^2-3158739752*x*y-10423426061664], [659/1001, true, -75800-1480*x^2-2480*x*y-40*y^2+24480*x+11520*y, 79935787008*y+210009868992*x+45733464*y^2-1268146152*x^2-1706331312*x*y-6649977965400], [5932/9009, true, -30576-324*x^2-876*x*y-36*y^2+7620*x+4740*y, 37002917380*y+72183937540*x+14743508*y^2-305083948*x^2-702267332*x*y-2951194787112], [5933/9009, true, -5832-24*x^2-144*x*y-24*y^2+1056*x+1056*y, 10205321984*y+11600635904*x-12640576*y^2-24172096*x^2-143401856*x*y-660675008448], [1978/3003, true, 3280+8*x^2+52*x*y+32*y^2-408*x-696*y, -6067553184*y-3351614112*x+22776768*y^2+2201472*x^2+46379088*x*y+309001573440], [5935/9009, true, 7896+72*x^2+48*x*y+72*y^2-1248*x-1248*y, -12329771168*y-9124626368*x+68628632*y^2+46215032*x^2+35187088*x*y+749446891656], [848/1287, true, 14400+180*x^2+180*x*y-60*y^2-3780*x-420*y, 1390435508*y-29789818828*x-60901276*y^2+141567908*x^2+103744948*x*y+1071321991560], [60/91, true, -249912-3978*x^2-9464*x*y+312*y^2+78390*x+39780*y, 273699787680*y+698404560480*x+738659552*y^2-3551287648*x^2-7006607744*x*y-22241326793792], [457/693, true, -122576-1024*x^2-3856*x*y-64*y^2+29520*x+19920*y, 155363482120*y+284643463720*x+192559136*y^2-982713424*x^2-3209908856*x*y-11876604260136], [5942/9009, true, -32832-108*x^2-864*x*y-108*y^2+5940*x+5940*y, 55573434180*y+64480779000*x-33857676*y^2-107472096*x^2-850853808*x*y-3635130722184], [283/429, true, 14724+12*x^2+292*x*y+108*y^2-1896*x-3048*y, -24187266312*y-15621957384*x+61995092*y^2-2893612*x^2+242483548*x*y+1308972131236], [5945/9009, true, 50328+432*x^2+216*x*y+432*y^2-7560*x-7560*y, -76807906560*y-48355211520*x+421396992*y^2+236639232*x^2+154711296*x*y+4614753731328], [5947/9009, true, 39960-900*x^2+2160*x*y+5400*y^2-1260*x-45360*y, -519352921934*y+219054267586*x+4653835610*y^2-4935868150*x^2+4182015064*x*y+4889647467324], [5948/9009, true, 138240-2304*x^2+6912*x*y+6912*y^2-9216*x-82944*y, -901919349760*y+43586216960*x+5571034880*y^2-5173346560*x^2+9356097280*x*y+16667697484800], [661/1001, true, 262440-2916*x^2+11664*x*y+5832*y^2-26244*x-104976*y, -1079397414810*y-217602060390*x+4050564570*y^2-4654439010*x^2+13704879240*x*y+30546962959500], [1985/3003, true, -900*x^2+1500*x*y-4500*y^2+900*x+22500*y, 289155762060*y+163919463180*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-1318056213800], [851/1287, true, 31200-400*x^2+1000*x*y+2000*y^2-800*x-20000*y, -226790316720*y+71339423760*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+3089080484640], [662/1001, true, 78300-900*x^2+3000*x*y+2250*y^2-5400*x-33750*y, -358958611440*y-19042735140*x+1728484160*y^2-1705009540*x^2+3794720800*x*y+8871081873160], [5959/9009, true, 122400-900*x^2+4500*x*y+1500*y^2-13500*x-37500*y, -372998803100*y-134325167900*x+884382260*y^2-1285378060*x^2+5013031900*x*y+13744242081000], [284/429, true, -2304*x^2+3072*x*y-4608*y^2+4608*x+18432*y, 253627249920*y+115931777280*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-925398809600], [5965/9009, true, -8160-400*x^2+640*x*y-1600*y^2+560*x+8960*y, 116522532126*y+57348807516*x-1828116810*y^2-1059626880*x^2+629674344*x*y-1943029996596], [51/77, true, 14688-144*x^2+384*x*y+576*y^2-432*x-6912*y, -77193584622*y+15125803308*x+485077046*y^2-447442024*x^2+589312264*x*y+1460654735668], [5968/9009, true, 30720-256*x^2+1024*x*y+512*y^2-2560*x-10240*y, -105291014400*y-21226233600*x+355605120*y^2-408620160*x^2+1203171840*x*y+3418598476800], [5969/9009, true, 36000-144*x^2+1152*x*y+192*y^2-4752*x-8448*y, -80722982890*y-51340815460*x+55623110*y^2-187204720*x^2+1223017960*x*y+3990377792700], [181/273, true, 8748*y+8748*x-2916*y^2-2916*x^2+2916*x*y, 131604395868*y+131604395868*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-358921079640], [5974/9009, true, -7020-900*x^2+1080*x*y-1350*y^2+2520*x+5670*y, 80669046304*y+46084035844*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-1352652522024], [5975/9009, true, -4320-144*x^2+216*x*y-432*y^2+288*x+2592*y, 34373570000*y+15052730000*x-501745000*y^2-282190000*x^2+222272500*x*y-862578600000], [5977/9009, true, 4320-36*x^2+108*x*y+108*y^2-180*x-1620*y, -17615612300*y+851293300*x+87047420*y^2-80833540*x^2+146189020*x*y+452363962200], [854/1287, true, 7020-36*x^2+216*x*y+54*y^2-792*x-1782*y, -17367857452*y-8267781412*x+26378204*y^2-48829036*x^2+234315616*x*y+773568450480], [1994/3003, true, -2304*x^2+1536*x*y-1152*y^2+9216*x+2304*y, 37637445120*y+147312084480*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-67359027200], [5983/9009, true, -4680-900*x^2+720*x*y-600*y^2+3780*x+1680*y, 26755510474*y+56656589374*x-922270630*y^2-1310596330*x^2+1149592936*x*y-820990016724], [544/819, true, -3072+1024*y+1024*x-256*y^2-256*x^2+256*x*y, 15404995584*y+15404995584*x-350113536*y^2-350113536*x^2+350113536*x*y-522369395712], [95/143, true, -1080-36*x^2+48*x*y-72*y^2+108*x+432*y, 5944388670*y+2717151030*x-87021670*y^2-54423310*x^2+53954680*x*y-194168712500], [5987/9009, true, 600-4*x^2+16*x*y+8*y^2-44*x-176*y, -1809689310*y-364825890*x+5556330*y^2-6384690*x^2+18799560*x*y+65542265100], [5989/9009, true, -6552-36*x^2-144*x*y+24*y^2+1404*x+624*y, 3124146454*y+11109518134*x+26941514*y^2-28900246*x^2-97577384*x*y-505469669652], [1997/3003, true, -900*x^2+300*x*y-180*y^2+4500*x+180*y, -460685000+1024609740*y+113145578700*x-563924740*y^2-2262727300*x^2+1096800700*x*y], [856/1287, true, -2040-400*x^2+160*x*y-100*y^2+2240*x+140*y, 1692376686*y+48781789056*x-258958890*y^2-870509700*x^2+473959944*x*y-476849158596], [461/693, true, -1440-144*x^2+72*x*y-48*y^2+864*x+96*y, 1487955920*y+16144296080*x-101808760*y^2-268358080*x^2+169800340*x*y-291574327200], [666/1001, true, -540-36*x^2+24*x*y-18*y^2+216*x+54*y, 882127620*y+3452626980*x-30921340*y^2-56885980*x^2+44021920*x*y-95627722400], [545/819, true, -96+20*y+20*x-4*y^2-4*x^2+4*x*y, 300878820*y+300878820*x-5470524*y^2-5470524*x^2+5470524*x*y-15941106936], [5998/9009, true, -420-4*x^2-8*x*y+2*y^2+104*x+26*y, 70270200*y+727026300*x+1787400*y^2-2805300*x^2-4557600*x*y-28331073000], [857/1287, true, -2880-36*x^2-36*x*y+12*y^2+756*x+84*y, -183323140*y+3927663740*x+8029580*y^2-18665140*x^2-13678340*x*y-141249349800], [6010/9009, true, -6660-900*x^2-360*x*y+150*y^2+7560*x+210*y, -2473099244*y+11032278796*x+44560940*y^2-130833580*x^2-24885536*x*y-82511896176], [6011/9009, true, -6240-400*x^2-200*x*y+80*y^2+4000*x+160*y, -1611664560*y+9774032400*x+31977720*y^2-97405200*x^2-27326700*x*y-135516879360], [668/1001, true, -3672-144*x^2-96*x*y+36*y^2+1728*x+108*y, -719161542*y+6366756528*x+18680126*y^2-52894804*x^2-22831736*x*y-124505490332], [859/1287, true, -1440-36*x^2-36*x*y+12*y^2+540*x+60*y, -130945100*y+2805474100*x+8029580*y^2-18665140*x^2-13678340*x*y-70641784200], [6014/9009, true, -300-4*x^2-8*x*y+2*y^2+88*x+22*y, 59459400*y+615176100*x+1787400*y^2-2805300*x^2-4557600*x*y-20235447000], [547/819, true, -192+28*y+28*x-4*y^2-4*x^2+4*x*y, 421230348*y+421230348*x-5470524*y^2-5470524*x^2+5470524*x*y-31827508632], [2006/3003, true, -1620-36*x^2+24*x*y-18*y^2+360*x+90*y, 1470212700*y+5754378300*x-30921340*y^2-56885980*x^2+44021920*x*y-286356924800], [860/1287, true, -46080-2304*x^2-2304*x*y+768*y^2+27648*x+3072*y, -6704389120*y+143640273920*x+513893120*y^2-1194568960*x^2-875413760*x*y-2268202060800], [669/1001, true, -31320-900*x^2-1200*x*y+360*y^2+13500*x+2160*y, 547245270*y+81788785650*x+275658170*y^2-544963450*x^2-562371800*x*y-1812130482740], [6022/9009, true, -15360-256*x^2-512*x*y+128*y^2+5120*x+1280*y, 3459456000*y+35792064000*x+114393600*y^2-179539200*x^2-291686400*x*y-1035313920000], [6023/9009, true, -4680-36*x^2-144*x*y+24*y^2+1188*x+528*y, 2643508538*y+9400361498*x+26941514*y^2-28900246*x^2-97577384*x*y-360943229220], [6025/9009, true, 840-4*x^2+16*x*y+8*y^2-52*x-208*y, -2138723730*y-431157870*x+5556330*y^2-6384690*x^2+18799560*x*y+91636447500], [287/429, true, -3240-36*x^2+48*x*y-72*y^2+180*x+720*y, 9907314450*y+4528585050*x-87021670*y^2-54423310*x^2+53954680*x*y-575276459300], [670/1001, true, -131220-2916*x^2-5832*x*y+1458*y^2+52488*x+13122*y, 35464829400*y+366924581100*x+1303014600*y^2-2045063700*x^2-3322490400*x*y-8828829333000], [6031/9009, true, -73440-900*x^2-2700*x*y+540*y^2+22500*x+8100*y, 34629974500*y+171555686500*x+552233300*y^2-692545900*x^2-1734102500*x*y-5427493565400], [464/693, true, -27000-144*x^2-864*x*y+108*y^2+6336*x+3564*y, 20100644630*y+51374993120*x+139060310*y^2-119405380*x^2-610362680*x*y-2140038681300], [862/1287, true, 9828-36*x^2+216*x*y+54*y^2-936*x-2106*y, -20525649716*y-9771014396*x+26378204*y^2-48829036*x^2+234315616*x*y+1081196116848], [6035/9009, true, 8640-36*x^2+108*x*y+108*y^2-252*x-2268*y, -24661857220*y+1191810620*x+87047420*y^2-80833540*x^2+146189020*x*y+894941983800], [6037/9009, true, 74088+10584*x^2+3024*x*y+10584*y^2-84672*x-84672*y, -891790808832*y-280947012192*x+10434480264*y^2+2501443944*x^2+2294437104*x*y+8129961259128], [6038/9009, true, 243712+5168*x^2+7412*x*y+15368*y^2-70992*x-152592*y, -1632163526752*y-306730617952*x+14063703728*y^2-998033872*x^2+8967218152*x*y+28314170926752], [61/91, true, 452088+936*x^2+13936*x*y+14664*y^2-71136*x-194688*y, -2008416858624*y-478906357248*x+12275545712*y^2-3174055312*x^2+16022986528*x*y+51626259529744], [6046/9009, true, 49284+6660*x^2+2664*x*y-1110*y^2-55944*x-1554*y, 55834387840*y-249072306560*x-1006038400*y^2+2953788800*x^2+561832960*x*y+1862845263360], [6047/9009, true, 100500-42000*y-42000*x+4500*y^2+4500*x^2+1500*x*y, -438888802000*y-183627202000*x+4442319500*y^2+1541619500*x^2+1090106500*x*y+8964428320500], [96/143, true, 175996+1886*x^2+3496*x*y+6026*y^2-32706*x-69966*y, -737100941544*y-179289839124*x+5426326944*y^2-208128636*x^2+4038274224*x*y+18716690909664], [6049/9009, true, 248544+192*x^2+6048*x*y+4992*y^2-32160*x-80160*y, -802513207760*y-253047367760*x+4000232192*y^2-994911808*x^2+6590684848*x*y+26881712195184], [865/1287, true, 30080+2176*x^2+4864*x*y-5504*y^2-32256*x+21504*y, 332816042944*y-179792398016*x-5972451304*y^2+684801176*x^2+3300330064*x*y+49658427240], [6056/9009, true, 40560+2600*x^2+1300*x*y-520*y^2-26000*x-1040*y, 23897095200*y-144925308000*x-474152400*y^2+1444284000*x^2+405189000*x*y+2009388211200], [673/1001, true, 61760+1600*x^2+640*x*y+1600*y^2-17280*x-17280*y, -178557413760*y-93374962560*x+1575435200*y^2+715006400*x^2+456350080*x*y+5534103689920], [466/693, true, 83720-25620*y-12180*x+1876*y^2+532*x^2+1372*x*y, -263678888660*y-80889438740*x+1643476028*y^2-18246244*x^2+1507209556*x*y+8695821141120], [6059/9009, true, 92640-23936*y-11264*x+1184*y^2+32*x^2+1984*x*y, -227228788512*y-98124684768*x+874588968*y^2-192387096*x^2+2006669808*x*y+9584407962360], [6065/9009, true, 13948+572*x^2+2156*x*y-2068*y^2-13200*x+7920*y, 129720248240*y-89251785040*x-2291042956*y^2+197275604*x^2+1633898452*x*y-157708126404], [674/1001, true, 20808+816*x^2+544*x*y-204*y^2-9792*x-612*y, 7421041188*y-65698677792*x-192760564*y^2+545822456*x^2+235601104*x*y+1284774446248], [6067/9009, true, 24408+432*x^2+216*x*y+432*y^2-5400*x-5400*y, -54862790400*y-34539436800*x+421396992*y^2+236639232*x^2+154711296*x*y+2254534933248], [289/429, true, 14724+12*x^2+292*x*y+108*y^2-1896*x-3048*y, -24187266312*y-15621957384*x+61995092*y^2-2893612*x^2+242483548*x*y+1308972131236], [6073/9009, true, -3960-3432*x^2+4752*x*y-4488*y^2+7392*x+14784*y, 228299490496*y+124096063168*x-5845704232*y^2-4492412968*x^2+5761551568*x*y-1596853015320], [6074/9009, true, -2016+6768*y-1872*x-1944*y^2-864*x^2+2196*x*y, 109438986272*y-1747042528*x-2394038416*y^2-1130560816*x^2+2300827144*x*y-1204092245664], [675/1001, true, 5320+56*x^2+784*x*y-616*y^2-4032*x+2016*y, 37030416192*y-32226030144*x-707836752*y^2-8276688*x^2+667584288*x*y+22278427920], [868/1287, true, 7200+180*x^2+180*x*y-60*y^2-2700*x-300*y, 993168220*y-21278442020*x-60901276*y^2+141567908*x^2+103744948*x*y+535790763240], [6077/9009, true, 5592+72*x^2+48*x*y+72*y^2-1056*x-1056*y, -10432883296*y-7720837696*x+68628632*y^2+46215032*x^2+35187088*x*y+531602239752], [2026/3003, true, 3280+8*x^2+52*x*y+32*y^2-408*x-696*y, -6067553184*y-3351614112*x+22776768*y^2+2201472*x^2+46379088*x*y+309001573440], [6079/9009, true, -8136-24*x^2-144*x*y-24*y^2+1248*x+1248*y, 12060835072*y+13709842432*x-12640576*y^2-24172096*x^2-143401856*x*y-922346503104], [6082/9009, true, -12172-3536*x^2+2584*x*y-3026*y^2+15708*x+12138*y, 176864520448*y+245799947008*x-4330644736*y^2-5225910016*x^2+4067405824*x*y-2353163046912], [79/117, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [52/77, true, -3652+1782*y+594*x-506*y^2-374*x^2+616*x*y, 29524958496*y+11201076612*x-658591528*y^2-473501812*x^2+720719248*x*y-756331262336], [6085/9009, true, 1328-32*x^2+208*x*y-128*y^2-720*x+240*y, 6209111920*y-6686422160*x-157463104*y^2-40230976*x^2+202033264*x*y+33416550384], [6086/9009, true, 1500+20*x^2+40*x*y-10*y^2-440*x-110*y, -390053664*y-4035555216*x-11725344*y^2+18402768*x^2+29897856*x*y+132744532320], [2029/3003, true, 428+4*x^2+4*x*y+4*y^2-72*x-72*y, -673705032*y-578569992*x+3596684*y^2+2875964*x^2+3014284*x*y+41003739868], [6088/9009, true, -508-2*x^2-8*x*y-2*y^2+78*x+78*y, 784820608*y+859852708*x-1493752*y^2-2018452*x^2-7989008*x*y-58863725808], [6089/9009, true, -8952-64*x^2-104*x*y-16*y^2+1624*x+952*y, 7637464296*y+14653640232*x-11503728*y^2-57063312*x^2-76180392*x*y-850931570376], [6091/9009, true, -9936-2160*x^2+864*x*y-2160*y^2+12096*x+12096*y, 181538612640*y+257116083840*x-3318845400*y^2-4300371000*x^2+1922402160*x*y-2338567527240], [6092/9009, true, -14000-1000*x^2+500*x*y-1000*y^2+6000*x+6000*y, 87560132000*y+114131732000*x-1469002000*y^2-1770952000*x^2+948001000*x*y-2693858088000], [677/1001, true, 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-2520-48*x^2+72*x*y-144*y^2+120*x+1080*y, 17599267840*y+7706997760*x-205514752*y^2-115585024*x^2+91042816*x*y-603844224000], [872/1287, true, -840-18*x^2+24*x*y-36*y^2+66*x+264*y, 4073180408*y+1861830872*x-48786952*y^2-30511336*x^2+30248608*x*y-168206902800], [185/273, true, -140-4*x^2+4*x*y-4*y^2+24*x+24*y, 361054584*y+361054584*x-5470524*y^2-5470524*x^2+5470524*x*y-23222374380], [2036/3003, true, -560+2*x^2-8*x*y-4*y^2+30*x+120*y, 607448160*y+122459040*x-1367712*y^2+1571616*x^2-4627584*x*y-30050377920], [470/693, true, 3648+272*x^2+436*x*y-568*y^2-3920*x+2800*y, 116797744800*y-48190934880*x-1697597136*y^2+177274224*x^2+740700072*x*y-219933049824], [97/143, true, 2648+136*x^2+304*x*y-344*y^2-2592*x+1728*y, 59658749568*y-32228583552*x-832679824*y^2+95475056*x^2+460132384*x*y-261282684272], [6112/9009, true, 1808+52*x^2+196*x*y-188*y^2-1500*x+900*y, 26275027900*y-18078080900*x-371243308*y^2+31966772*x^2+264758836*x*y-106704986472], [6113/9009, true, 1080+8*x^2+112*x*y-88*y^2-704*x+352*y, 9318111264*y-8109164448*x-145731096*y^2-1704024*x^2+137443824*x*y-7502733000], [2038/3003, true, 464-8*x^2+52*x*y-32*y^2-216*x+72*y, 2242514208*y-2414901984*x-47391808*y^2-12108352*x^2+60806128*x*y+11795651776], [556/819, true, -192+28*y+28*x-4*y^2-4*x^2+4*x*y, 421230348*y+421230348*x-5470524*y^2-5470524*x^2+5470524*x*y-31827508632], [680/1001, true, -8100-234*x^2-536*x*y+354*y^2+4518*x-774*y, 41760220392*y-79530144804*x-844519792*y^2+380635412*x^2+845398768*x*y+1116742269280], [6122/9009, true, 4972+32*x^2+248*x*y-118*y^2-1716*x-66*y, 9495555344*y-38178686656*x-329462608*y^2+64539392*x^2+501973888*x*y+917334150432], [157/231, true, 6300-12*x^2+292*x*y-108*y^2-1608*x-456*y, 253239096*y-22809756552*x-192457732*y^2-17738068*x^2+381078508*x*y+771954150220], [6124/9009, true, 4644-54*x^2+216*x*y-54*y^2-702*x-702*y, -5023037448*y-8944809588*x-93300336*y^2-65875356*x^2+256852944*x*y+514601438256], [875/1287, true, 1240-64*x^2+104*x*y-16*y^2+168*x-504*y, -4731756568*y+2035560296*x-36998032*y^2-80941648*x^2+135447448*x*y+114754662360], [2042/3003, true, -2700-60*x^2+40*x*y-30*y^2+600*x+150*y, 2158997280*y+8450265120*x-45407776*y^2-83536672*x^2+64645888*x*y-420513182720], [6128/9009, true, 442368+27648*x^2+13824*x*y+27648*y^2-276480*x-276480*y, -2808974868480*y-1768419164160*x+26969407488*y^2+15144910848*x^2+9901522944*x*y+48471932141568], [681/1001, true, 787968+15048*x^2+18544*x*y+29868*y^2-218880*x-352260*y, -3599211605220*y-1485455881140*x+27088102076*y^2+5737034156*x^2+18535141408*x*y+88224859851856], [6137/9009, true, 315392-91872*y-197472*x+6688*y^2+19888*x^2+9592*x*y, -805060589872*y-1383219956272*x+7121304608*y^2+13691297408*x^2+4054222372*x*y+26906769233472], [62/91, true, 423500+12250*x^2+7000*x*y+12250*y^2-141750*x-141750*y, -1422912100500*y-973474994250*x+11841251000*y^2+7301482250*x^2+5063197000*x*y+42111588938500], [877/1287, true, 528216+5876*x^2+8788*x*y+12116*y^2-102700*x-165100*y, -1654404909300*y-746955623700*x+10744204068*y^2+2494665108*x^2+8591681124*x*y+55448746084368], [878/1287, true, 230400+11520*x^2+11520*x*y-3840*y^2-138240*x-15360*y, 50850212864*y-1089456231424*x-3897681664*y^2+9060346112*x^2+6639676672*x*y+17203440245760], [683/1001, true, 244864+8384*x^2+4864*x*y+2624*y^2-97344*x-45504*y, -390979795536*y-732513897126*x+2766663756*y^2+6216503166*x^2+2365254216*x*y+21334472995176], [6148/9009, true, 251904+4608*x^2+3072*x*y+4608*y^2-61440*x-61440*y, -607004119040*y-449212375040*x+4392232448*y^2+2957762048*x^2+2251973632*x*y+24553711601664], [43/63, true, 249408+1824*x^2+3456*x*y+3936*y^2-39072*x-62304*y, -605947597948*y-301246088374*x+3367791392*y^2+849597098*x^2+3280079992*x*y+25309144704816], [684/1001, true, 151380+4350*x^2+5800*x*y-1740*y^2-65250*x-10440*y, -3711128850*y-554648415750*x-1869368350*y^2+3695654750*x^2+3813709000*x*y+12288913368700], [6157/9009, true, 131560+2948*x^2+2156*x*y+836*y^2-40260*x-19140*y, -160658862980*y-324035886020*x+858195212*y^2+2343440876*x^2+1204679812*x*y+11821735591680], [6158/9009, true, 104220+1350*x^2+1080*x*y+1350*y^2-20790*x-20790*y, -200929516920*y-160322503770*x+1258764300*y^2+923169150*x^2+803620440*x*y+10103084985060], [2053/3003, true, 76608+384*x^2+976*x*y+864*y^2-10464*x-16224*y, -149108203464*y-83566338504*x+690788264*y^2+194258984*x^2+877638676*x*y+7448005325728], [6164/9009, true, 81920-2048*x^2+13312*x*y-8192*y^2-36864*x+12288*y, 317906530304*y-342344814592*x-10077638656*y^2-2574782464*x^2+12930128896*x*y+5732015063040], [685/1001, true, 87152+832*x^2+6448*x*y-3068*y^2-36504*x-1404*y, 86282994996*y-346917195504*x-3658989388*y^2+716770112*x^2+5574887968*x*y+7002321765232], [6166/9009, true, 76800+1280*x^2+2560*x*y-640*y^2-25600*x-6400*y, -22694031360*y-234795939840*x-750422016*y^2+1177777152*x^2+1913462784*x*y+6791659315200], [2056/3003, true, 26624+256*x^2+256*x*y+256*y^2-4608*x-4608*y, -43117122048*y-37028479488*x+230187776*y^2+184061696*x^2+192914176*x*y+2562542854144], [6169/9009, true, 8880+32*x^2+112*x*y+68*y^2-1144*x-1612*y, -11662521156*y-7958416752*x+41821164*y^2+15918336*x^2+79469856*x*y+698195779920], [6173/9009, true, 16128+16800*y+3360*x-7392*y^2-5712*x^2+10584*x*y, 320183243600*y+79797177680*x-9740156512*y^2-7008496672*x^2+12203421124*x*y-397638474432], [98/143, true, 30268-1702*x^2+5704*x*y-3082*y^2-10350*x+2070*y, 99787046040*y-102109161330*x-4007612484*y^2-1968256854*x^2+5999325048*x*y+1841645169396], [475/693, true, 39672-108*x^2+2628*x*y-972*y^2-12060*x-3420*y, 1386134860*y-124851964820*x-1264128844*y^2-116509756*x^2+2503055236*x*y+3576524890224], [6176/9009, true, 30420+234*x^2+936*x*y-156*y^2-7722*x-3432*y, -21602684422*y-76819514662*x-220165366*y^2+236172074*x^2+797399896*x*y+2949618873180], [2059/3003, true, 13120+128*x^2+208*x*y+32*y^2-2784*x-1632*y, -13409557128*y-25728280776*x+23564088*y^2+116887752*x^2+156046932*x*y+1276644680640], [6178/9009, true, 2508+18*x^2+24*x*y+18*y^2-390*x-390*y, -3462284540*y-3201654170*x+15153008*y^2+13330418*x^2+18117544*x*y+236166929508], [6179/9009, true, -2952-12*x^2-36*x*y-12*y^2+420*x+420*y, 4337503940*y+4598515460*x-10307524*y^2-12002404*x^2-35716172*x*y-344976435024], [562/819, true, -27648+27648*y+27648*x-6912*y^2-6912*x^2+6912*x*y, 415934880768*y+415934880768*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-5709651545088], [687/1001, true, -18000-3000*x^2+4000*x*y-3000*y^2+9000*x+9000*y, 155564343000*y+129040386750*x-4091633500*y^2-3823714750*x^2+5040553000*x*y-3687855371000], [6185/9009, true, 13392-216*x^2+864*x*y-216*y^2-2376*x-2376*y, -15323314644*y-27287101314*x-336372264*y^2-237497994*x^2+926022456*x*y+1343948614848], [6187/9009, true, 2032+8*x^2+32*x*y+8*y^2-312*x-312*y, -2880143552*y-3155497202*x+5481788*y^2+7407338*x^2+29318152*x*y+216018767352], [2063/3003, true, -4464-24*x^2-32*x*y-24*y^2+600*x+600*y, 5574693300*y+5155047150*x-21145072*y^2-18601762*x^2-25281896*x*y-439714802192], [6191/9009, true, -35200+42720*y+29280*x-7520*y^2-5840*x^2+4360*x*y, 623719549904*y+552769161296*x-10380989344*y^2-9574734928*x^2+6586534372*x*y-7970558502720], [688/1001, true, -43996+20196*y+15606*x-3536*y^2-3026*x^2+2584*x*y, 293814160794*y+264245042754*x-4819024714*y^2-4520346754*x^2+3702409816*x*y-8056669917044], [563/819, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [6194/9009, true, -6292-506*x^2+616*x*y-374*y^2+2178*x+726*y, 16212041252*y+28825651646*x-539401288*y^2-643646002*x^2+810834952*x*y-1108544014764], [295/429, true, 1856-128*x^2+208*x*y-32*y^2+288*x-864*y, -7978916616*y+3432460152*x-72785848*y^2-159235672*x^2+266464372*x*y+171577061344], [6196/9009, true, 2100-10*x^2+40*x*y+20*y^2-130*x-520*y, -5692295466*y-1147543254*x+14788386*y^2-16993098*x^2+50035752*x*y+243893929500], [6197/9009, true, 584+4*x^2+4*x*y+4*y^2-84*x-84*y, -941459596*y-808514476*x+4308116*y^2+3444836*x^2+3610516*x*y+66989104896], [2066/3003, true, -676-2*x^2-8*x*y-2*y^2+90*x+90*y, 521125440*y+570947190*x-859612*y^2-1161562*x^2-4597448*x*y-45086353916], [6200/9009, true, -3072*x^2+4608*x*y-9216*y^2+6144*x+55296*y, 901082513408*y+394598285312*x-13152944128*y^2-7397441536*x^2+5826740224*x*y-4932989091840], [53/77, true, -32480+31500*y+5040*x-4900*y^2-1960*x^2+2800*x*y, 498502471500*y+214653928500*x-6792808500*y^2-3925651500*x^2+3514860000*x*y-8741885310000], [886/1287, true, -30720-1152*x^2+1536*x*y-2304*y^2+3840*x+15360*y, 236985041920*y+108324705280*x-3122364928*y^2-1952725504*x^2+1935910912*x*y-6596257812480], [6203/9009, true, -18720-600*x^2+720*x*y-900*y^2+2640*x+5940*y, 89985531680*y+51406290980*x-1207562800*y^2-888726100*x^2+927761440*x*y-3505243221840], [188/273, true, -8192-256*x^2+256*x*y-256*y^2+1536*x+1536*y, 23107493376*y+23107493376*x-350113536*y^2-350113536*x^2+350113536*x*y-1369644152832], [6205/9009, true, -2400-72*x^2+48*x*y-36*y^2+624*x+156*y, 2279568148*y+8922176692*x-55319548*y^2-101771356*x^2+78757024*x*y-379606713840], [2069/3003, true, 1120+8*x^2+16*x*y-4*y^2-240*x-60*y, -269188920*y-2785069980*x-5934168*y^2+9313596*x^2+15131232*x*y+125416220400], [690/1001, true, 22572-198*x^2+5368*x*y-6798*y^2-22374*x+37026*y, 718566318756*y-91570307994*x-10277411008*y^2-2094212758*x^2+6038330728*x*y-3178586604188], [6211/9009, true, 2200+21300*y-12300*x-3820*y^2-460*x^2+3380*x*y, 399214736140*y-59311240340*x-5534233276*y^2-1365815308*x^2+3810016804*x*y-4402977107760], [2071/3003, true, -6336-384*x^2+976*x*y-864*y^2-1248*x+4512*y, 81385123512*y-1299201288*x-1186896424*y^2-560500024*x^2+1140684916*x*y-2065196731136], [478/693, true, -6020+1638*y+546*x-322*y^2-238*x^2+392*x*y, 28636591984*y+10864051198*x-442229116*y^2-317945614*x^2+483946456*x*y-1243178772780], [565/819, true, -4968+756*y+756*x-108*y^2-108*x^2+108*x*y, 11373219396*y+11373219396*x-147704148*y^2-147704148*x^2+147704148*x*y-826552412208], [296/429, true, -2700-30*x^2+40*x*y-60*y^2+150*x+600*y, 8783965410*y+4015107690*x-77154646*y^2-48252478*x^2+47836984*x*y-510048262340], [691/1001, true, 1417176+52488*x^2+34992*x*y+52488*y^2-629856*x-629856*y, -6222740664096*y-4605128738496*x+50030272728*y^2+33690758328*x^2+25651387152*x*y+152858519014536], [692/1001, true, 1057536-293760*y-472770*x+20196*y^2+40086*x^2+24888*x*y, -2695392663480*y-3658466295000*x+20266486808*y^2+29994503288*x^2+13919403424*x*y+99684365221168], [6229/9009, true, 1170000-330000*y-330000*x+24000*y^2+24000*x^2+18000*x*y, -3215636105000*y-2502885605000*x+22569404000*y^2+16089854000*x^2+13327303000*x*y+118138827345000], [9/13, true, 834624+27072*x^2+25728*x*y+1728*y^2-359424*x-131328*y, -941610469536*y-3019483941408*x+1715284616*y^2+22703905544*x^2+15591864496*x*y+73383936049048], [6238/9009, true, 772008-150100*y-241300*x+8588*y^2+17708*x^2+12844*x*y, -1354274588700*y-1944171474300*x+8475491916*y^2+13838190876*x^2+7672190508*x*y+72417838204656], [6239/9009, true, 681408+9408*x^2+8064*x*y+9408*y^2-147840*x-147840*y, -1415579271040*y-1157645526400*x+8684541248*y^2+6552857408*x^2+6028921984*x*y+67135126260288], [694/1001, true, 656100+14580*x^2+29160*x*y-7290*y^2-262440*x-65610*y, -232649280864*y-2407025252016*x-8547775776*y^2+13415617872*x^2+21795537024*x*y+57917120424480], [6247/9009, true, 559224+11232*x^2+13608*x*y+432*y^2-180360*x-72360*y, -523611813560*y-1588331469560*x+200398352*y^2+9879667952*x^2+9119418088*x*y+51001119724104], [568/819, true, 420876+6642*x^2+5832*x*y+3078*y^2-105138*x-65934*y, -583437571552*y-881042266324*x+2954083064*y^2+5413625996*x^2+3735430096*x*y+39757217817168], [2083/3003, true, 288684+2916*x^2+2916*x*y+2916*y^2-52488*x-52488*y, -491130968328*y-421777524168*x+2621982636*y^2+2096577756*x^2+2197413036*x*y+28017695255004], [6256/9009, true, 416160+5100*x^2+15300*x*y-3060*y^2-127500*x-45900*y, -248949387500*y-1233286587500*x-3969917500*y^2+4978602500*x^2+12466187500*x*y+39017389365000], [6257/9009, true, 301080+3848*x^2+6448*x*y+104*y^2-77792*x-36608*y, -274082586624*y-720078581376*x-128299248*y^2+3557618064*x^2+4786889184*x*y+28597254562800], [298/429, true, 172368+1944*x^2+2196*x*y+864*y^2-36504*x-23544*y, -204297539424*y-318682361184*x+787296704*y^2+1653848384*x^2+1520823856*x*y+16498462264768], [569/819, true, 78120+600*x^2+720*x*y+600*y^2-12480*x-12480*y, -113129793920*y-102042031520*x+518923400*y^2+441386600*x^2+544388080*x*y+7457550951480], [696/1001, true, 286416-5382*x^2+28392*x*y-11232*y^2-79326*x-26676*y, 60233957784*y-848781349416*x-15076653592*y^2-5894680792*x^2+28936459552*x*y+27296568675376], [895/1287, true, 280896-256*x^2+15424*x*y-4096*y^2-74560*x-36160*y, -183169083240*y-788885852040*x-5704418304*y^2-197902224*x^2+14739183576*x*y+27643426039944], [482/693, true, 225000+1200*x^2+7200*x*y-900*y^2-52800*x-29700*y, -211612743892*y-540858438208*x-1463979604*y^2+1257059192*x^2+6425690512*x*y+22529598712920], [2089/3003, true, 132516+972*x^2+2628*x*y+108*y^2-27432*x-17064*y, -137635050696*y-268493421768*x-45699628*y^2+945651668*x^2+2176778812*x*y+13242782356804], [6268/9009, true, 48840+374*x^2+616*x*y+176*y^2-8866*x-6292*y, -54304131024*y-81415022832*x+144094032*y^2+333680688*x^2+471310272*x*y+4797987795360], [6269/9009, true, 8136+48*x^2+72*x*y+48*y^2-1176*x-1176*y, -10173564016*y-9649101616*x+39027488*y^2+35621888*x^2+54069232*x*y+756033889296], [6274/9009, true, 135000-4500*x^2+13500*x*y-4500*y^2-22500*x-22500*y, -89997957500*y-259337457500*x-6612326500*y^2-5072876500*x^2+14860979500*x*y+13186126320000], [6275/9009, true, 141696-1152*x^2+6912*x*y-1152*y^2-25344*x-25344*y, -193171648384*y-286857011584*x-2010453952*y^2-1236194752*x^2+7213827712*x*y+14967084115776], [6277/9009, true, 48816+144*x^2+864*x*y+144*y^2-7488*x-7488*y, -68306075552*y-77645165312*x+71589416*y^2+136897736*x^2+812150896*x*y+5223673945464], [6278/9009, true, 8856+36*x^2+108*x*y+36*y^2-1260*x-1260*y, -11715314380*y-12420289420*x+27839948*y^2+32417708*x^2+96467044*x*y+931758782448], [698/1001, true, -32076-15048*x^2+17688*x*y-13662*y^2+55836*x+43362*y, 724011030864*y+784977427872*x-18914974384*y^2-19530796576*x^2+23203463296*x*y-8736175879712], [6283/9009, true, -6552-7392*x^2+10584*x*y-5712*y^2+21000*x+4200*y, 171475011400*y+272794937800*x-8231342224*y^2-9152432464*x^2+13344956968*x*y-3750293854104], [6284/9009, true, 39468-3082*x^2+5704*x*y-1702*y^2+2530*x-12650*y, -81892582200*y+26884992420*x-2787625152*y^2-3686613372*x^2+6928846704*x*y+3494476325808], [2095/3003, true, 56700-972*x^2+2628*x*y-108*y^2-4104*x-14472*y, -136229960328*y-49888990536*x-509603332*y^2-1163701588*x^2+3083296972*x*y+6355380876460], [898/1287, true, 42588-156*x^2+936*x*y+234*y^2-4056*x-9126*y, -93030931136*y-44286372416*x+119557184*y^2-221313856*x^2+1062017536*x*y+4900438372608], [6287/9009, true, 17904+32*x^2+208*x*y+128*y^2-1904*x-3248*y, -34382801376*y-18992479968*x+110630016*y^2+10692864*x^2+225269856*x*y+2046055159008], [2096/3003, true, 3348+18*x^2+24*x*y+18*y^2-450*x-450*y, -4951907400*y-4579142700*x+18782816*y^2+16523636*x^2+22457488*x*y+390591350176], [699/1001, true, -81000+99360*y+73440*x-18360*y^2-15480*x^2+14640*x*y, 1459301111136*y+1222953139584*x-24853284616*y^2-22465931368*x^2+20225738704*x*y-18510475943960], [44/63, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [899/1287, true, -60984-4488*x^2+4752*x*y-3432*y^2+23232*x+11616*y, 198780325568*y+317845347776*x-4886967856*y^2-5870976304*x^2+6488310496*x*y-10399599003792], [2098/3003, true, -14256-1944*x^2+2196*x*y-864*y^2+10152*x-2808*y, -11236761888*y+130497150432*x-1430745664*y^2-2504487424*x^2+3031745296*x*y-2739016423616], [6295/9009, true, 10248-616*x^2+784*x*y+56*y^2+2912*x-5824*y, -63415040832*y+40404963456*x-114226632*y^2-840240648*x^2+1115376912*x*y+981971142984], [6296/9009, true, 14400-60*x^2+180*x*y+180*y^2-420*x-3780*y, -44224143964*y+2137179044*x+156095204*y^2-144952348*x^2+262149124*x*y+1604828167560], [2099/3003, true, 10584+72*x^2+48*x*y+72*y^2-1440*x-1440*y, -16488848640*y-12202544640*x+79541312*y^2+53563712*x^2+40782208*x*y+1163181863104], [100/143, true, -13122*x^2+17496*x*y-26244*y^2+39366*x+157464*y, 2429466968808*y+1110497486472*x-35565688008*y^2-22242763944*x^2+22051235232*x*y-13296437044560], [6301/9009, true, -110160-8640*x^2+10800*x*y-14400*y^2+32400*x+90000*y, 1370300503000*y+707845963000*x-19345352800*y^2-13323038800*x^2+13776151000*x*y-25571218205400], [6302/9009, true, -113400-5292*x^2+6048*x*y-7056*y^2+24948*x+44352*y, 669394258676*y+438382654424*x-9483573388*y^2-7574386576*x^2+7902778864*x*y-21492159920040], [191/273, true, -78732+17496*y+17496*x-2916*y^2-2916*x^2+2916*x*y, 263208791736*y+263208791736*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-13387756270572], [6304/9009, true, -42120+4680*y+10530*x-900*y^2-1350*x^2+1080*x*y, 70068478480*y+148374706480*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-6702812164320], [485/693, true, -16200+504*y+4536*x-144*y^2-432*x^2+216*x*y, 6406632848*y+69511855952*x-250487968*y^2-660262144*x^2+417772912*x*y-2685840832560], [6308/9009, true, 3136*y+153664*x-3136*y^2-21952*x^2+5488*x*y, -34041740832*y+3102248948832*x-8686895328*y^2-44326562256*x^2+18147466584*x*y+42728636160], [701/1001, true, -55566*x^2+24696*x*y-15876*y^2+388962*x+31752*y, 353840775552*y+6189502442112*x-29354924416*y^2-88301001856*x^2+51561550336*x*y-590261853440], [6316/9009, true, 74088+10584*x^2+3024*x*y+10584*y^2-84672*x-84672*y, -996936450048*y-314071769088*x+11664746496*y^2+2796374016*x^2+2564960256*x*y+9088515643392], [6317/9009, true, 122500-2100*x^2+4900*x*y+14700*y^2-2800*x-137200*y, -1716195251056*y+898661760656*x+13752285476*y^2-15961998748*x^2+11499866572*x*y+16204922924820], [54/77, true, 186760-25288*x^2+17168*x*y+13688*y^2+150336*x-200448*y, -2511915227712*y+2925393397344*x+7896105032*y^2-47026204312*x^2+34953552112*x*y+25708133789560], [575/819, true, 171500+12250*x^2+7000*x*y+12250*y^2-110250*x-110250*y, -1270973627000*y-869527389500*x+13598798000*y^2+8385210500*x^2+5814706000*x*y+21452879037000], [6326/9009, true, 315392+6688*x^2+9592*x*y+19888*y^2-91872*x-197472*y, -2347850335072*y-441228818272*x+20230492208*y^2-1435661392*x^2+12899250472*x*y+40729641735072], [703/1001, true, 550564-7420*x^2+20776*x*y+25970*y^2-26712*x-327222*y, -3897596244960*y+498483707040*x+23200365600*y^2-21204482400*x^2+32338586880*x*y+72183093131520], [6334/9009, true, 197568+9408*x^2+8064*x*y+9408*y^2-94080*x-94080*y, -1063723189760*y-869901401600*x+10255006976*y^2+7737840896*x^2+7119159808*x*y+24581528668416], [905/1287, true, 419748+8588*x^2+12844*x*y+17708*y^2-120080*x-193040*y, -2210252117040*y-997917885360*x+17942554188*y^2+4166028828*x^2+14347894284*x*y+52896926281788], [64/91, true, 834624+1728*x^2+25728*x*y+27072*y^2-131328*x-359424*y, -4103094733056*y-978381626112*x+25078323128*y^2-6484435528*x^2+32734156432*x*y+105469854355336], [6343/9009, true, 148176+5292*x^2+6048*x*y+5292*y^2-58212*x-58212*y, -647103693852*y-576527672952*x+5625713412*y^2+4709141712*x^2+5556461328*x*y+18224736906816], [488/693, true, 394240+6912*x^2+12352*x*y+12288*y^2-104704*x-147712*y, -1632714055456*y-983078691232*x+12126919424*y^2+4744699376*x^2+12853298776*x*y+48304383297600], [705/1001, true, 929488+5246*x^2+27176*x*y+22016*y^2-169506*x-320436*y, -3508952838336*y-1597516911936*x+20073477056*y^2+766043456*x^2+30740982016*x*y+113179731657088], [6352/9009, true, 68600+1960*x^2+2800*x*y+1960*y^2-23520*x-23520*y, -257590995200*y-241832729600*x+2025521600*y^2+1820868800*x^2+2639632000*x*y+8319479688000], [6353/9009, true, 274820+4108*x^2+8788*x*y+6604*y^2-68016*x-87984*y, -936119387632*y-667892278768*x+6253917332*y^2+3205882004*x^2+8767605964*x*y+32499224611620], [706/1001, true, 835240+5624*x^2+24016*x*y+14744*y^2-158688*x-240768*y, -2520963865728*y-1585419853248*x+12922556184*y^2+3472616664*x^2+25083450576*x*y+97466115796200], [6361/9009, true, 12348+294*x^2+504*x*y+294*y^2-3822*x-3822*y, -41309587088*y-40211722628*x+294749816*y^2+280491836*x^2+483476656*x*y+1474596921192], [6362/9009, true, 134400+1760*x^2+4360*x*y+2480*y^2-31520*x-37280*y, -377423788896*y-312629242464*x+2211141456*y^2+1474839792*x^2+4155530472*x*y+15096950834400], [101/143, true, 623700+4752*x^2+17688*x*y+8118*y^2-122364*x-152658*y, -1515900114432*y-1233204261696*x+6722834432*y^2+3867320768*x^2+17178575872*x*y+69012803336320], [6371/9009, true, 42532+588*x^2+1372*x*y+588*y^2-10192*x-10192*y, -95159246512*y-97483608112*x+485952188*y^2+512365388*x^2+1190805772*x*y+4372070406732], [708/1001, true, 400624+3920*x^2+10976*x*y+3920*y^2-84672*x-84672*y, -788367080160*y-828441408960*x+3096566600*y^2+3501357800*x^2+9733474480*x*y+41431680709720], [580/819, true, 25088+448*x^2+784*x*y+448*y^2-6720*x-6720*y, -55939148320*y-54658832800*x+345099488*y^2+330550448*x^2+581145304*x*y+2306406549888], [709/1001, true, 267904-56304*y-64998*x+2852*y^2+3818*x^2+6808*x*y, -498784023936*y-588410013312*x+2352544128*y^2+3257857152*x^2+5371356672*x*y+26056950518016], [710/1001, true, 285768+4536*x^2+7056*x*y+4536*y^2-72576*x-72576*y, -622490907456*y-594754861536*x+3644770856*y^2+3364608776*x^2+5286032176*x*y+27123248762008], [6397/9009, true, -1554*x^2+2664*x*y-9324*y^2+1554*x+55944*y, 775916535394*y+503815088854*x-11500471534*y^2-7966686514*x^2+2847266824*x*y-4241482237140], [914/1287, true, -69972-12348*x^2+4116*x*y-12348*y^2+82320*x+82320*y, 1059135733040*y+1613031450800*x-16477271356*y^2-22771540876*x^2+8883276052*x*y-14984651642604], [711/1001, true, -168260-28858*x^2+13912*x*y-20962*y^2+197118*x+126054*y, 1644454490976*y+3135675220722*x-29281830588*y^2-44344666242*x^2+25342358328*x*y-30600914409180], [6406/9009, true, 39960+5400*x^2+2160*x*y-900*y^2-45360*x-1260*y, 51055085620*y-227752258580*x-919923700*y^2+2700950900*x^2+513741280*x*y+1703389758480], [712/1001, true, -74592-10584*x^2+3024*x*y-1764*y^2+81648*x+2268*y, -6082723152*y+1548246978828*x-4372096864*y^2-20072396884*x^2+8867077024*x*y-15069836285072], [493/693, true, -207360+23040*y+207360*x-9216*y^2-27648*x^2+13824*x*y, 292874644480*y+3177684843520*x-16031229952*y^2-42256777216*x^2+26737466368*x*y-34763013442560], [6415/9009, true, 84732+6026*x^2+3496*x*y+1886*y^2-54418*x-25438*y, -256313190672*y-480211449102*x+2331940644*y^2+5239710234*x^2+1993604184*x*y+8723041667208], [6416/9009, true, 100500-42000*y-42000*x+4500*y^2+4500*x^2+1500*x*y, 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-2021675152640*y+97699613440*x+9990093056*y^2-9276950272*x^2+16777543936*x*y+48936211971840], [919/1287, true, 46008+1566*x^2+1944*x*y+864*y^2-17766*x-12852*y, -149269120154*y-205949351762*x+1013994518*y^2+1750101422*x^2+1849130968*x*y+5853131281236], [6434/9009, true, 113724+2916*x^2+2916*x*y+2916*y^2-34992*x-34992*y, -392185168848*y-336804030288*x+3140616564*y^2+2511285444*x^2+2632066164*x*y+13512453977556], [5/7, true, 265356+3078*x^2+5832*x*y+6642*y^2-53946*x-86022*y, -967391351388*y-480937397094*x+6571469408*y^2+1657793102*x^2+6400320808*x*y+31683172198804], [6436/9009, true, 559224+432*x^2+13608*x*y+11232*y^2-72360*x-180360*y, -2009501655260*y-633633315260*x+10016624192*y^2-2491269808*x^2+16503145348*x*y+67312094841684], [6442/9009, true, 7080+176*x^2+304*x*y+116*y^2-2296*x-1876*y, -31913739396*y-40330321416*x+185235876*y^2+294542136*x^2+458456544*x*y+1327437712440], [6443/9009, true, 54528+1152*x^2+1536*x*y+1152*y^2-15360*x-15360*y, 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61201406728*y+59574887218*x-436680796*y^2-415557166*x^2-716285336*x*y-2184660082452], [718/1001, true, 32976+360*x^2+864*x*y+360*y^2-7128*x-7128*y, -66529863180*y-68437627830*x+295730600*y^2+315000950*x^2+752576440*x*y+3408333554560], [6463/9009, true, 297216+2304*x^2+6912*x*y+2304*y^2-57600*x-57600*y, -535557228800*y-567784659200*x+1781756672*y^2+2074733312*x^2+6173890816*x*y+30991639173888], [6470/9009, true, -18228-252*x^2-588*x*y-252*y^2+4368*x+4368*y, 46081614128*y+47207204528*x-235326172*y^2-248116972*x^2-576657068*x*y-2117209507308], [719/1001, true, 21084+294*x^2+504*x*y+294*y^2-4914*x-4914*y, -41130521784*y-40037416254*x+228256124*y^2+217214654*x^2+374407384*x*y+1935579254404], [6472/9009, true, 211800+2480*x^2+4360*x*y+1760*y^2-46600*x-39400*y, -348363958140*y-422809788060*x+1454089536*y^2+2130869808*x^2+3425711076*x*y+20699147731860], [720/1001, true, 23296+248*x^2+592*x*y+332*y^2-4896*x-5652*y, -9397669248*y-7997263164*x+48845808*y^2+34700292*x^2+92160288*x*y+429479663184], 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236025092160*y+286463960640*x-1231476480*y^2-1804645440*x^2-2901253680*x*y-11064420806400], [729/1001, true, -13740-150*x^2-360*x*y-150*y^2+2970*x+2970*y, 31260319992*y+32156719452*x-138954640*y^2-148009180*x^2-353612336*x*y-1601470264064], [6562/9009, true, 15960+180*x^2+300*x*y+180*y^2-3300*x-3300*y, -27824155700*y-26942501300*x+141209420*y^2+133194380*x^2+223474900*x*y+1467223203600], [6563/9009, true, 151368+1496*x^2+2584*x*y+986*y^2-30668*x-25058*y, -220829284368*y-279068394528*x+815660496*y^2+1296975456*x^2+2018749824*x*y+14843346130368], [730/1001, true, -143080-1400*x^2-3920*x*y-1400*y^2+30240*x+30240*y, 314174539008*y+330144680448*x-1234022080*y^2-1395336640*x^2-3878916224*x*y-16511063836736], [6571/9009, true, 21180+176*x^2+436*x*y+248*y^2-3940*x-4660*y, -14125141800*y-11700196200*x+66201840*y^2+44156880*x^2+124417080*x*y+707675362200], [6572/9009, true, 189560+1960*x^2+2800*x*y+1960*y^2-36960*x-36960*y, 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519918600960*y+519918600960*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-16004039844096], [6595/9009, true, 22616+352*x^2+2728*x*y-1298*y^2-12012*x-462*y, 34847517628*y-140111073872*x-1899994108*y^2+372195392*x^2+2894857888*x*y+2312764524816], [6596/9009, true, 8876+364*x^2+1372*x*y-1316*y^2-8400*x+5040*y, 94183635920*y-64801430320*x-1663416148*y^2+143232332*x^2+1186295116*x*y-114504288732], [733/1001, true, -16184-340*x^2+544*x*y-1360*y^2+612*x+9792*y, 138073039830*y+67955304780*x-1684839150*y^2-976579200*x^2+580323960*x*y-3805245447660], [6598/9009, true, -55000-2000*x^2+1000*x*y-2000*y^2+15000*x+15000*y, 198266282500*y+258433532500*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-9401185852500], [6599/9009, true, -113344-4784*x^2+3496*x*y-4094*y^2+33396*x+25806*y, 361223519624*y+502015450904*x-5628507016*y^2-6792076696*x^2+5286377344*x*y-18596690122176], [508/693, true, 14400+192*x^2+1152*x*y-144*y^2-5376*x-3024*y, 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-43038152960*y-36960661760*x+275719424*y^2+220469504*x^2+231073024*x*y+2101433804544], [2209/3003, true, 112000-640*x^2+2560*x*y+1280*y^2-7680*x-30720*y, -336283301376*y-67793324544*x+946456704*y^2-1087558272*x^2+3202288128*x*y+13173170641920], [6631/9009, true, -86904-1632*x^2-3672*x*y-2958*y^2+24276*x+33558*y, 302358554344*y+197612857288*x-2352929224*y^2-992595496*x^2-3147610496*x*y-8699788482432], [6632/9009, true, -29700-340*x^2-980*x*y-580*y^2+6640*x+8560*y, 74832542928*y+56338291152*x-438933924*y^2-228771972*x^2-822871764*x*y-2856175599420], [67/91, true, -3456-36*x^2-96*x*y-36*y^2+756*x+756*y, 5462247186*y+5702665716*x-22349506*y^2-24777976*x^2-65649416*x*y-279402036836], [6634/9009, true, 4104+48*x^2+72*x*y+48*y^2-840*x-840*y, -9168037340*y-8695411340*x+49238168*y^2+44941568*x^2+68215252*x*y+482238408204], [6635/9009, true, 34848+176*x^2+616*x*y+374*y^2-5324*x-7502*y, -77896479276*y-53155971792*x+330120252*y^2+125653248*x^2+627304608*x*y+3938660679744], [316/429, true, 132516+108*x^2+2628*x*y+972*y^2-17064*x-27432*y, -277694310696*y-179355890472*x+711766436*y^2-33221596*x^2+2783956684*x*y+15028325607988], [6640/9009, true, -169344-6048*x^2-6912*x*y-6048*y^2+66528*x+66528*y, 613984213458*y+547020351108*x-5337783198*y^2-4468122648*x^2-5272075512*x*y-17291974781664], [6641/9009, true, -72704-1536*x^2-2048*x*y-1536*y^2+20480*x+20480*y, 190282864640*y+175958942720*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-7318249971072], [738/1001, true, -11264-160*x^2-256*x*y-160*y^2+2592*x+2592*y, 24190607430*y+23241380580*x-139516150*y^2-129928000*x^2-209666840*x*y-1141979201060], [604/819, true, 13696+96*x^2+256*x*y+96*y^2-2464*x-2464*y, -22962122326*y-23972790556*x+76870274*y^2+85222904*x^2+225798664*x*y+1430341784664], [2215/3003, true, 111616+512*x^2+2048*x*y+512*y^2-18432*x-18432*y, -170150019072*y-186417065472*x+350834432*y^2+474069632*x^2+1876361728*x*y+11829334051456], [950/1287, true, -232540-5588*x^2-7436*x*y-3476*y^2+74448*x+57552*y, 520145876624*y+670056853136*x-3107013772*y^2-4810547596*x^2-5607469652*x*y-23002636750140], [739/1001, true, -77012-1144*x^2-1976*x*y-754*y^2+19188*x+15678*y, 145163455668*y+183447284328*x-655330284*y^2-1042035624*x^2-1621934496*x*y-7909312009032], [6652/9009, true, -9160-80*x^2-200*x*y-80*y^2+1800*x+1800*y, 18881450500*y+19537028500*x-73211800*y^2-79171600*x^2-196875500*x*y-1069942266900], [6653/9009, true, 10640+100*x^2+160*x*y+100*y^2-1980*x-1980*y, -16866680050*y-16204840300*x+79589750*y^2+74120000*x^2+119608600*x*y+982179848400], [2218/3003, true, 94780+812*x^2+1372*x*y+476*y^2-17976*x-13944*y, -122113324872*y-164210380488*x+393560748*y^2+712477836*x^2+1063080396*x*y+9313582994100], [740/1001, true, -340200-4428*x^2-9648*x*y-2592*y^2+83268*x+66744*y, 613489592826*y+826235387802*x-2070407578*y^2-4219355002*x^2-8252913992*x*y-35111198562740], [6661/9009, true, -99072-768*x^2-2304*x*y-768*y^2+19200*x+19200*y, 198285894400*y+210217849600*x-659681536*y^2-768153856*x^2-2285835008*x*y-11474413119744], [6662/9009, true, 17808-3608*y-2948*x+176*y^2+116*x^2+304*x*y, -15913602738*y-12690445878*x+67903326*y^2+41265666*x^2+127228104*x*y+861628950828], [2221/3003, true, 131328+1152*x^2+1536*x*y+1152*y^2-23040*x-23040*y, -204541117440*y-189143877120*x+969792512*y^2+853146752*x^2+1159522816*x*y+12461971700608], [6667/9009, true, -8400*x^2+7200*x*y-6300*y^2+33600*x+18900*y, 283425619708*y+475647068512*x-8913509716*y^2-11409892168*x^2+10465315024*x*y-770055271680], [6668/9009, true, 768+4416*y+36672*x-5184*y^2-9216*x^2+9264*x*y, 120932528288*y+490014146336*x-7959014752*y^2-12153124048*x^2+13169562952*x*y-795323408256], [57/77, true, 50968-14076*y+29394*x-5704*y^2-10534*x^2+14536*x*y, -39021074136*y+373670024904*x-9254113704*y^2-13422710664*x^2+19296531936*x*y+5100872114448], [6676/9009, true, -3240-2808*x^2+3888*x*y-3672*y^2+6048*x+12096*y, 195465837952*y+106248774016*x-5004984784*y^2-3846321616*x^2+4932934816*x*y-1367196273840], [607/819, true, -20412+11664*y+11664*x-2916*y^2-2916*x^2+2916*x*y, 175472527824*y+175472527824*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-3736767240252], [106/143, true, -23976-3672*x^2+3888*x*y-2808*y^2+15552*x+7776*y, 134536479264*y+215120857248*x-4042558552*y^2-4856542168*x^2+5367208432*x*y-4329083630984], [6679/9009, true, -4212+2700*y+13500*x-3672*y^2-4752*x^2+6804*x*y, 113782484200*y+181013463400*x-5461918672*y^2-6073109392*x^2+8855064904*x*y-2488512744312], [955/1287, true, 10956-814*x^2+2728*x*y-1474*y^2-3850*x+770*y, 43431640560*y-44442325620*x-2242653912*y^2-1101433572*x^2+3357213264*x*y+1017876108888], [6686/9009, true, -1344-576*x^2+1464*x*y-1296*y^2-1248*x+4512*y, 80286106208*y-1281656992*x-1756303024*y^2-829396624*x^2+1687921816*x*y-883340400096], [743/1001, true, -14196+6318*y+2808*x-1170*y^2-780*x^2+936*x*y, 93879308160*y+53630699760*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-2666667679520], [608/819, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [6689/9009, true, -28500-2250*x^2+3000*x*y-2250*y^2+8250*x+8250*y, 146662406000*y+121656243500*x-3156133000*y^2-2949470500*x^2+3888094000*x*y-5527860153000], [6694/9009, true, 9792-192*x^2+1152*x*y-192*y^2-2688*x-2688*y, -32391675008*y-48101153408*x-529759552*y^2-325740352*x^2+1900861312*x*y+1667066261952], [515/693, true, 8580-36*x^2+876*x*y-324*y^2-3216*x-912*y, 474899216*y-42775130992*x-541373908*y^2-49896292*x^2+1071954652*x*y+1008211775340], [744/1001, true, 3040+32*x^2+448*x*y-352*y^2-2304*x+1152*y, 24427627488*y-21258347616*x-466934328*y^2-5459832*x^2+440381232*x*y+14696273880], [6697/9009, true, -6300-120*x^2+180*x*y-360*y^2+300*x+2700*y, 38635892680*y+16919268520*x-451169104*y^2-253745248*x^2+199867432*x*y-1325626773000], [6698/9009, 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70068478480*y+148374706480*x-1300536400*y^2-1848132400*x^2+1621094080*x*y-6702812164320], [6712/9009, true, -43800-40*x^2-2480*x*y-1480*y^2+8960*x+19040*y, 145795180608*y+62959038912*x-881816976*y^2+193977072*x^2-2023253856*x*y-3758855736240], [959/1287, true, -19452-36*x^2-876*x*y-324*y^2+3792*x+6096*y, 42659397968*y+27552650576*x-164012332*y^2+7655252*x^2-641507108*x*y-1532145569196], [746/1001, true, -3912-24*x^2-144*x*y-24*y^2+864*x+864*y, 3291751584*y+3741813504*x-4983304*y^2-9529384*x^2-56533424*x*y-174492621272], [6715/9009, true, 2268+32*x^2+52*x*y+8*y^2-580*x-340*y, -4047504120*y-7765754040*x+8535024*y^2+42337296*x^2+56520936*x*y+319466310984], [6716/9009, true, 5592+72*x^2+48*x*y+72*y^2-1056*x-1056*y, -12091822336*y-8948532736*x+79541312*y^2+53563712*x^2+40782208*x*y+616132631232], [2239/3003, true, 10500-60*x^2+180*x*y+180*y^2-360*x-3240*y, -37906409112*y+1831867752*x+156095204*y^2-144952348*x^2+262149124*x*y+1174939883020], [6718/9009, true, 10248-616*x^2+784*x*y+56*y^2+2912*x-5824*y, -63415040832*y+40404963456*x-114226632*y^2-840240648*x^2+1115376912*x*y+981971142984], [47/63, true, -88740-1938*x^2-3672*x*y-4182*y^2+26418*x+42126*y, 374222831752*y+186044411476*x-3268398784*y^2-824523196*x^2-3183275984*x*y-8714644412040], [6722/9009, true, -48192-576*x^2-1464*x*y-1296*y^2+10464*x+16224*y, 144123688544*y+80772812384*x-1001544016*y^2-281647696*x^2-1272450344*x*y-4613886897312], [747/1001, true, -14756-112*x^2-392*x*y-238*y^2+2772*x+3906*y, 33670519344*y+22976509248*x-174403152*y^2-66382848*x^2-331406208*x*y-1388449296864], [6724/9009, true, -1512-12*x^2-36*x*y-12*y^2+300*x+300*y, 2055826300*y+2179536700*x-6839572*y^2-7964212*x^2-23699516*x*y-117096013872], [6725/9009, true, 1788+18*x^2+24*x*y+18*y^2-330*x-330*y, -3631398760*y-3358037980*x+18782816*y^2+16523636*x^2+22457488*x*y+208865994936], [2242/3003, true, 13120+32*x^2+208*x*y+128*y^2-1632*x-2784*y, 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82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [753/1001, true, -14196-1170*x^2+936*x*y-780*y^2+6318*x+2808*y, 41853755790*y+88628137290*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-2274705906980], [6778/9009, true, -5016-1296*x^2+1464*x*y-576*y^2+5640*x-1560*y, -6304165340*y+73212872260*x-963230224*y^2-1686112384*x^2+2041081636*x*y-1034410516524], [6779/9009, true, 18876-1474*x^2+2728*x*y-814*y^2+1210*x-6050*y, -40743083700*y+13375784070*x-1386895392*y^2-1834158762*x^2+3447230184*x*y+1738567005768], [6784/9009, true, 7968-1072*x^2+1984*x*y-592*y^2+560*x-2800*y, -22435944300*y+7365626730*x-1200131424*y^2-1587164814*x^2+2983014648*x*y+1078171066116], [58/77, true, -2656-272*x^2+448*x*y-368*y^2+432*x+1296*y, 22983350544*y+8719344018*x-512672692*y^2-368591818*x^2+561035272*x*y-588757018304], [617/819, true, -5376+1280*y+1280*x-256*y^2-256*x^2+256*x*y, 19256244480*y+19256244480*x-350113536*y^2-350113536*x^2+350113536*x*y-903643036416], 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293091680728*y+263595272248*x-6180653416*y^2-5797583176*x^2+4748535904*x*y-3334753919952], [6866/9009, true, -28000-2000*x^2+1000*x*y-2000*y^2+12000*x+12000*y, 152153672000*y+198327272000*x-2552692000*y^2-3077392000*x^2+1647346000*x*y-4681130448000], [109/143, true, -16184-1360*x^2+544*x*y-340*y^2+9792*x+612*y, 5371500420*y+154830424320*x-639270900*y^2-2148957000*x^2+1170026640*x*y-2743577830440], [6868/9009, true, 12656-1316*x^2+1372*x*y+364*y^2+6300*x-10500*y, -117866556500*y+93986315500*x+30261812*y^2-1895673388*x^2+2082504676*x*y+1185087575448], [6869/9009, true, 54692-1298*x^2+2728*x*y+352*y^2-726*x-18876*y, -195342295456*y-3962306656*x-99829408*y^2-1681482208*x^2+3428457088*x*y+6353453303232], [982/1287, true, -2880-3264*x^2+3456*x*y-2496*y^2+10752*x+5376*y, 97037018848*y+155160048736*x-3748850968*y^2-4503695512*x^2+4977259888*x*y-844081465800], [625/819, true, -12348-1372*x^2+1372*x*y-1372*y^2+5488*x+5488*y, 82561148208*y+82561148208*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-2174735699388], [764/1001, true, -12096-576*x^2+384*x*y-576*y^2+3456*x+3456*y, 45969111936*y+54073362816*x-750248896*y^2-832110016*x^2+571828864*x*y-1959540906176], [529/693, true, -6300-360*x^2+180*x*y-120*y^2+2700*x+300*y, 3691815160*y+40056130840*x-202080784*y^2-532665472*x^2+337037656*x*y-1011852197880], [6878/9009, true, 4320-352*x^2+448*x*y+32*y^2+1408*x-2816*y, -30196698048*y+19239859584*x-64281384*y^2-472847976*x^2+627681744*x*y+421125180840], [2293/3003, true, 18900-324*x^2+876*x*y-36*y^2-1368*x-4824*y, -46678149672*y-17094079464*x-174611668*y^2-398733412*x^2+1056468028*x*y+2177622448540], [6884/9009, true, -896-864*x^2+976*x*y-384*y^2+3008*x-832*y, -3854380288*y+44762508032*x-736151296*y^2-1288615936*x^2+1559902144*x*y-284312945664], [765/1001, true, -2324-322*x^2+392*x*y-238*y^2+1134*x+378*y, 9140924232*y+16252925436*x-371718832*y^2-443557228*x^2+558772528*x*y-453564175376], [626/819, true, -2376+540*y+540*x-108*y^2-108*x^2+108*x*y, 8123728140*y+8123728140*x-147704148*y^2-147704148*x^2+147704148*x*y-397619566416], [6887/9009, true, -1400+110*y+440*x-30*y^2-60*x^2+40*x*y, 1583264672*y+6196861088*x-45407776*y^2-83536672*x^2+64645888*x*y-218229912960], [328/429, true, 928-64*x^2+104*x*y-16*y^2+144*x-432*y, -4055791344*y+1744765968*x-36998032*y^2-80941648*x^2+135447448*x*y+87214943296], [6889/9009, true, 4644-54*x^2+216*x*y-54*y^2-702*x-702*y, -5023037448*y-8944809588*x-93300336*y^2-65875356*x^2+256852944*x*y+514601438256], [6892/9009, true, 1880-344*x^2+304*x*y+136*y^2+1344*x-2016*y, -61458490016*y+57293102944*x+135948776*y^2-1406279704*x^2+1324426864*x*y+646145310840], [6893/9009, true, 1268-188*x^2+196*x*y+52*y^2+720*x-1200*y, -28379520400*y+22629714800*x+9107924*y^2-570542476*x^2+626773252*x*y+285522998796], [766/1001, true, 760-88*x^2+112*x*y+8*y^2+288*x-576*y, -10309140864*y+6568480512*x-26822448*y^2-197303472*x^2+261910368*x*y+130002116400], [985/1287, true, 332-32*x^2+52*x*y-8*y^2+60*x-180*y, -2242688360*y+964784920*x-24550096*y^2-53708944*x^2+89876344*x*y+42408966264], [209/273, true, -140-4*x^2+4*x*y-4*y^2+24*x+24*y, 361054584*y+361054584*x-5470524*y^2-5470524*x^2+5470524*x*y-23222374380], [6899/9009, true, 620-8*x^2+52*x*y-32*y^2-252*x+84*y, 2616266576*y-2817385648*x-47391808*y^2-12108352*x^2+60806128*x*y+13849939440], [6901/9009, true, -6660+150*x^2-360*x*y-900*y^2+210*x+7560*y, 17387108200*y-7333587800*x-155803000*y^2+165245000*x^2-140007200*x*y-163697605200], [986/1287, true, -6240+80*x^2-200*x*y-400*y^2+160*x+4000*y, 13703342400*y-4310539200*x-103528800*y^2+101174400*x^2-104382000*x*y-186651388800], [59/77, true, -3672+36*x^2-96*x*y-144*y^2+108*x+1728*y, 7673835708*y-1503660312*x-48221644*y^2+44480336*x^2-58583696*x*y-145204093352], [6904/9009, true, -1440+12*x^2-36*x*y-36*y^2+60*x+540*y, 2806555180*y-135629780*x-13868572*y^2+12878564*x^2-23291132*x*y-72071546520], [6905/9009, true, -300+2*x^2-8*x*y-4*y^2+22*x+88*y, 445461984*y+89803296*x-1367712*y^2+1571616*x^2-4627584*x*y-16133480640], [628/819, true, -192+28*y+28*x-4*y^2-4*x^2+4*x*y, 421230348*y+421230348*x-5470524*y^2-5470524*x^2+5470524*x*y-31827508632], [329/429, true, -1620-18*x^2+24*x*y-36*y^2+90*x+360*y, 5554336920*y+2538860280*x-48786952*y^2-30511336*x^2+30248608*x*y-322517196080], [6910/9009, true, -21168-3024*x^2-864*x*y-3024*y^2+24192*x+24192*y, 159665603328*y+50300556768*x-1868182056*y^2-447856776*x^2-410794416*x*y-1455582583512], [6911/9009, true, -33500-1500*x^2-500*x*y-1500*y^2+14000*x+14000*y, 100360238000*y+41989838000*x-1015820500*y^2-352520500*x^2-249273500*x*y-2049886339500], [768/1001, true, -24704-640*x^2-256*x*y-640*y^2+6912*x+6912*y, 53383144320*y+27916225920*x-471006400*y^2-213764800*x^2-136434560*x*y-1654525845440], [6913/9009, true, -12204-216*x^2-108*x*y-216*y^2+2700*x+2700*y, 22288008600*y+14031646200*x-171192528*y^2-96134688*x^2-62851464*x*y-915904816632], [6914/9009, true, -3728-48*x^2-32*x*y-48*y^2+704*x+704*y, 6156507104*y+4556112704*x-40498168*y^2-27271768*x^2-20764112*x*y-313701675048], [2305/3003, true, -428-4*x^2-4*x*y-4*y^2+72*x+72*y, 658898328*y+565854168*x-3517636*y^2-2812756*x^2-2948036*x*y-40102558772], [6920/9009, true, -114688-7232*x^2-3488*x*y-2432*y^2+71808*x+33408*y, 229048590848*y+393541288448*x-2026089472*y^2-3895324672*x^2-1153470848*x*y-7655271733248], [769/1001, true, -99476-3406*x^2-1976*x*y-1066*y^2+39546*x+18486*y, 131211454176*y+245829106116*x-928482696*y^2-2086236756*x^2-793771056*x*y-7159774642416], [6922/9009, true, -59800-1340*x^2-980*x*y-380*y^2+18300*x+8700*y, 63685963660*y+128449419340*x-340192804*y^2-928951492*x^2-477541004*x*y-4686194146560], [2308/3003, true, -6560-64*x^2-104*x*y-16*y^2+1392*x+816*y, 6546397968*y+12560263056*x-11503728*y^2-57063312*x^2-76180392*x*y-623243859840], [6925/9009, true, -508-2*x^2-8*x*y-2*y^2+78*x+78*y, 784820608*y+859852708*x-1493752*y^2-2018452*x^2-7989008*x*y-58863725808], [6926/9009, true, 584+4*x^2+4*x*y+4*y^2-84*x-84*y, -785989204*y-674998324*x+3596684*y^2+2875964*x^2+3014284*x*y+55926683904], [2309/3003, true, 2800+20*x^2+40*x*y-10*y^2-600*x-150*y, -531891360*y-5503029840*x-11725344*y^2+18402768*x^2+29897856*x*y+247810363200], [10/13, true, -312984-10152*x^2-9648*x*y-648*y^2+134784*x+49248*y, 302385454272*y+969666388416*x-550840432*y^2-7291051888*x^2-5007116192*x*y-23566257551696], [6931/9009, true, -217476-4368*x^2-5292*x*y-168*y^2+70140*x+28140*y, 181366117240*y+550158541240*x-69413008*y^2-3422071408*x^2-3158739752*x*y-17665520180616], [6932/9009, true, -115800-1480*x^2-2480*x*y-40*y^2+29920*x+14080*y, 97699295232*y+256678728768*x+45733464*y^2-1268146152*x^2-1706331312*x*y-10193758205400], [2311/3003, true, -44172-324*x^2-876*x*y-36*y^2+9144*x+5688*y, 44403500856*y+86620725048*x+14743508*y^2-305083948*x^2-702267332*x*y-4272355731644], [6934/9009, true, -8136-24*x^2-144*x*y-24*y^2+1248*x+1248*y, 12060835072*y+13709842432*x-12640576*y^2-24172096*x^2-143401856*x*y-922346503104], [6935/9009, true, 4476+8*x^2+52*x*y+32*y^2-476*x-812*y, -7078812048*y-3910216464*x+22776768*y^2+2201472*x^2+46379088*x*y+421246650384], [2312/3003, true, 10584+72*x^2+48*x*y+72*y^2-1440*x-1440*y, -14226659040*y-10528415040*x+68628632*y^2+46215032*x^2+35187088*x*y+1003598985544], [6938/9009, true, 102900-1764*x^2+4116*x*y+12348*y^2-2352*x-115248*y, -1328196915760*y+695491831760*x+10643161460*y^2-12353301580*x^2+8899970620*x*y+12541305329700], [771/1001, true, 363580-4900*x^2+13720*x*y+17150*y^2-17640*x-216090*y, -2386241105292*y+305188695108*x+14204053620*y^2-12982105980*x^2+19798783776*x*y+44192946911904], [6946/9009, true, -1764*x^2+3024*x*y-10584*y^2+1764*x+63504*y, 809758303354*y+525789093214*x-12002067094*y^2-8314155274*x^2+2971450984*x*y-4426475404740], [772/1001, true, 93240-900*x^2+2160*x*y+5400*y^2-1620*x-58320*y, -667739471058*y+281641201182*x+4653835610*y^2-4935868150*x^2+4182015064*x*y+8664830550556], [6949/9009, true, 241920-2304*x^2+6912*x*y+6912*y^2-11520*x-103680*y, -1127399187200*y+54482771200*x+5571034880*y^2-5173346560*x^2+9356097280*x*y+27289570003200], [535/693, true, -4900*x^2+7000*x*y-12250*y^2+9800*x+61250*y, 824672397780*y+355101890220*x-14448008340*y^2-8349690060*x^2+7475954400*x*y-3762161780400], [6956/9009, true, -27300-900*x^2+1500*x*y-4500*y^2+1200*x+30000*y, 385541016080*y+218559284240*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-7132521604380], [994/1287, true, 54600-400*x^2+1000*x*y+2000*y^2-1000*x-25000*y, -283487895900*y+89174279700*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+5012785285020], [6959/9009, true, 121800-900*x^2+3000*x*y+2250*y^2-6600*x-41250*y, -438727191760*y-23274454060*x+1728484160*y^2-1705009540*x^2+3794720800*x*y+13491098331360], [6964/9009, true, -7056*x^2+8064*x*y-9408*y^2+21168*x+37632*y, 543668515390*y+356045549860*x-12103719610*y^2-9667057720*x^2+10086179080*x*y-1981014547800], [995/1287, true, -26880-2304*x^2+3072*x*y-4608*y^2+6144*x+24576*y, 338169666560*y+154575703040*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-5668072992000], [774/1001, true, -19040-400*x^2+640*x*y-1600*y^2+720*x+11520*y, 149814684162*y+73734181092*x-1828116810*y^2-1059626880*x^2+629674344*x*y-4128841123524], [536/693, true, 22848-144*x^2+384*x*y+576*y^2-528*x-8448*y, -94347714538*y+18487092932*x+485077046*y^2-447442024*x^2+589312264*x*y+2219260951728], [2323/3003, true, 44800-256*x^2+1024*x*y+512*y^2-3072*x-12288*y, -126349217280*y-25471480320*x+355605120*y^2-408620160*x^2+1203171840*x*y+4949457177600], [6973/9009, true, -7056*x^2+6048*x*y-5292*y^2+28224*x+15876*y, 248954936230*y+417798100720*x-7829434210*y^2-10022202580*x^2+9192506440*x*y-676399900800], [634/819, true, -20412+11664*y+11664*x-2916*y^2-2916*x^2+2916*x*y, 175472527824*y+175472527824*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-3736767240252], [775/1001, true, -16380-900*x^2+1080*x*y-1350*y^2+3240*x+7290*y, 103717345248*y+59250903228*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-2946119840456], [6976/9009, true, -7560-144*x^2+216*x*y-432*y^2+360*x+3240*y, 42966962500*y+18815912500*x-501745000*y^2-282190000*x^2+222272500*x*y-1474229062500], [2326/3003, true, 6300-36*x^2+108*x*y+108*y^2-216*x-1944*y, -21138734760*y+1021551960*x+87047420*y^2-80833540*x^2+146189020*x*y+655212222100], [997/1287, true, 9828-36*x^2+216*x*y+54*y^2-936*x-2106*y, -20525649716*y-9771014396*x+26378204*y^2-48829036*x^2+234315616*x*y+1081196116848], [6982/9009, true, -4900*x^2+2800*x*y-1960*y^2+24500*x+3920*y, 63553262850*y+423051448050*x-3747374550*y^2-8416182150*x^2+5844015000*x*y-112117027500], [6983/9009, true, -13440-2304*x^2+1536*x*y-1152*y^2+12288*x+3072*y, 50183260160*y+196416112640*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-2440877990400], [776/1001, true, -10920-900*x^2+720*x*y-600*y^2+4860*x+2160*y, 34399942038*y+72844186338*x-922270630*y^2-1310596330*x^2+1149592936*x*y-1869599271956], [635/819, true, 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-157134120*y+3366568920*x+8029580*y^2-18665140*x^2-13678340*x*y-103003585100], [7015/9009, true, -420-4*x^2-8*x*y+2*y^2+104*x+26*y, 70270200*y+727026300*x+1787400*y^2-2805300*x^2-4557600*x*y-28331073000], [638/819, true, -252+32*y+32*x-4*y^2-4*x^2+4*x*y, 481406112*y+481406112*x-5470524*y^2-5470524*x^2+5470524*x*y-41756509692], [60/77, true, -103880-4900*x^2-3920*x*y+1400*y^2+61740*x+5040*y, -22748390082*y+271960444998*x+824271930*y^2-2152584990*x^2-1188980424*x*y-4292868238596], [1003/1287, true, -80640-2304*x^2-2304*x*y+768*y^2+34560*x+3840*y, -8380486400*y+179550342400*x+513893120*y^2-1194568960*x^2-875413760*x*y-3962783635200], [7022/9009, true, -48720-900*x^2-1200*x*y+360*y^2+16500*x+2640*y, 668855330*y+99964071350*x+275658170*y^2-544963450*x^2-562371800*x*y-2818459749540], [2341/3003, true, -22400-256*x^2-512*x*y+128*y^2+6144*x+1536*y, 4151347200*y+42950476800*x+114393600*y^2-179539200*x^2-291686400*x*y-1510257312000], [7024/9009, true, -6552-36*x^2-144*x*y+24*y^2+1404*x+624*y, 3124146454*y+11109518134*x+26941514*y^2-28900246*x^2-97577384*x*y-505469669652], [2342/3003, true, 1120-4*x^2+16*x*y+8*y^2-60*x-240*y, -2467758150*y-497489850*x+5556330*y^2-6384690*x^2+18799560*x*y+122079660300], [1004/1287, true, 175616+21952*x^2+5488*x*y+21952*y^2-197568*x-197568*y, -2092817661088*y-444517715488*x+21560014112*y^2+2829332912*x^2+4444009528*x*y+19169423486976], [71/91, true, 596336+11938*x^2+13912*x*y+33652*y^2-170046*x-365472*y, -3951329163408*y-538527814704*x+31102260368*y^2-3370480528*x^2+17620310848*x*y+69612300105184], [7037/9009, true, 122500+14700*x^2+4900*x*y-2100*y^2-137200*x-2800*y, 142920547088*y-457716387568*x-1943587804*y^2+4881831908*x^2+638981356*x*y+3139043962740], [782/1001, true, 267624+10584*x^2+3024*x*y+10584*y^2-108864*x-108864*y, -1146588182784*y-361217587104*x+10434480264*y^2+2501443944*x^2+2294437104*x*y+22872951009144], [7039/9009, true, 495244+5168*x^2+7412*x*y+15368*y^2-88740*x-190740*y, -2040204408440*y-383413272440*x+14063703728*y^2-998033872*x^2+8967218152*x*y+52307985967464], [542/693, true, 80256+5984*x^2+9592*x*y-12496*y^2-86240*x+61600*y, 921956666400*y-380400783840*x-13400181648*y^2+1399334832*x^2+5846802696*x*y-1736067265632], [783/1001, true, 114996+6660*x^2+2664*x*y-1110*y^2-71928*x-1998*y, 71787070080*y-320235822720*x-1006038400*y^2+2953788800*x^2+561832960*x*y+4292121955840], [7048/9009, true, 195000+4500*x^2+1500*x*y+4500*y^2-52500*x-52500*y, -548611002500*y-229534002500*x+4442319500*y^2+1541619500*x^2+1090106500*x*y+16668063870000], [1007/1287, true, 290076+1886*x^2+3496*x*y+6026*y^2-39974*x-85514*y, -900901150776*y-219132025596*x+5426326944*y^2-208128636*x^2+4038274224*x*y+29917022673384], [7055/9009, true, 39140-1748*x^2+12844*x*y-14516*y^2-37392*x+64752*y, 965988939344*y-143516751664*x-16739137012*y^2-4131117796*x^2+11523979948*x*y-3139385972580], [112/143, true, 42368+2176*x^2+4864*x*y-5504*y^2-41472*x+27648*y, 427906340928*y-231161654592*x-5972451304*y^2+684801176*x^2+3300330064*x*y-1874067394712], [7057/9009, true, 70980+2600*x^2+1300*x*y-520*y^2-32500*x-1300*y, 29871369000*y-181156635000*x-474152400*y^2+1444284000*x^2+405189000*x*y+3507112344600], [7058/9009, true, 100160+1600*x^2+640*x*y+1600*y^2-21120*x-21120*y, -218236839040*y-114124954240*x+1575435200*y^2+715006400*x^2+456350080*x*y+8857721622720], [181/231, true, 125300+532*x^2+1372*x*y+1876*y^2-14616*x-30744*y, -316414666392*y-97067326488*x+1643476028*y^2-18246244*x^2+1507209556*x*y+12865097902660], [7064/9009, true, 1024-6912*x^2+12352*x*y-12288*y^2+5888*x+48896*y, 745947685472*y+199712217056*x-15359610496*y^2-9152389264*x^2+13765864504*x*y-4370554798272], [7066/9009, true, 19888+572*x^2+2156*x*y-2068*y^2-16500*x+9900*y, 162150310300*y-111564731300*x-2291042956*y^2+197275604*x^2+1633898452*x*y-658505358504], [7067/9009, true, 32368+816*x^2+544*x*y-204*y^2-11968*x-748*y, 9070161452*y-80298383968*x-192760564*y^2+545822456*x^2+235601104*x*y+1997056671408], [2356/3003, true, 36288+432*x^2+216*x*y+432*y^2-6480*x-6480*y, -65835348480*y-41447324160*x+421396992*y^2+236639232*x^2+154711296*x*y+3336301882368], [643/819, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [786/1001, true, -29304-3432*x^2+4752*x*y-4488*y^2+9504*x+19008*y, 293527916352*y+159552081216*x-5845704232*y^2-4492412968*x^2+5761551568*x*y-6026968547096], [7075/9009, true, -7524+8460*y-2340*x-1944*y^2-864*x^2+2196*x*y, 136798732840*y-2183803160*x-2394038416*y^2-1130560816*x^2+2300827144*x*y-2536780049496], [7076/9009, true, 7560+56*x^2+784*x*y-616*y^2-4928*x+2464*y, 45259397568*y-39387370176*x-707836752*y^2-8276688*x^2+667584288*x*y-36441846000], [337/429, true, 10500+180*x^2+180*x*y-60*y^2-3240*x-360*y, 1191801864*y-25534130424*x-60901276*y^2+141567908*x^2+103744948*x*y+781242576220], [7078/9009, true, 7896+72*x^2+48*x*y+72*y^2-1248*x-1248*y, -12329771168*y-9124626368*x+68628632*y^2+46215032*x^2+35187088*x*y+749446891656], [7079/9009, true, 4476+8*x^2+52*x*y+32*y^2-476*x-812*y, -7078812048*y-3910216464*x+22776768*y^2+2201472*x^2+46379088*x*y+421246650384], [7082/9009, true, -35200-7520*x^2+4360*x*y-5840*y^2+42720*x+29280*y, 423500921888*y+709908422432*x-8722726384*y^2-11977357072*x^2+7820431816*x*y-6869868091680], [787/1001, true, -43996+15606*y+20196*x-3026*y^2-3536*x^2+2584*x*y, 227397240576*y+316028503296*x-4330644736*y^2-5225910016*x^2+4067405824*x*y-7666659209216], [92/117, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [545/693, true, -6292+2178*y+726*x-506*y^2-374*x^2+616*x*y, 36086060384*y+13690204748*x-658591528*y^2-473501812*x^2+720719248*x*y-1254093913656], [2362/3003, true, 1856-32*x^2+208*x*y-128*y^2-864*x+288*y, 7450934304*y-8023706592*x-157463104*y^2-40230976*x^2+202033264*x*y+39192004288], [7087/9009, true, 2100+20*x^2+40*x*y-10*y^2-520*x-130*y, -460972512*y-4769292528*x-11725344*y^2+18402768*x^2+29897856*x*y+185851838880], [7088/9009, true, 584+4*x^2+4*x*y+4*y^2-84*x-84*y, -785989204*y-674998324*x+3596684*y^2+2875964*x^2+3014284*x*y+55926683904], [2363/3003, true, -676-2*x^2-8*x*y-2*y^2+90*x+90*y, 905562240*y+992137740*x-1493752*y^2-2018452*x^2-7989008*x*y-78346778936], [1013/1287, true, -23324-4116*x^2+1372*x*y-4116*y^2+27440*x+27440*y, 425574176720*y+648136504400*x-6620776708*y^2-9149894068*x^2+3569413036*x*y-6021023167572], [788/1001, true, -37584+15552*y+15552*x-2160*y^2-2160*x^2+864*x*y, 233406787680*y+330577822080*x-3318845400*y^2-4300371000*x^2+1922402160*x*y-7853083711560], [7093/9009, true, -27500-1000*x^2+500*x*y-1000*y^2+7500*x+7500*y, 109450165000*y+142664665000*x-1469002000*y^2-1770952000*x^2+948001000*x*y-5189794905000], [7094/9009, true, 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61124197860*y+30083450760*x-610256700*y^2-353721600*x^2+210196080*x*y-2290354364880], [2368/3003, true, -3840-48*x^2+72*x*y-144*y^2+144*x+1296*y, 21119121408*y+9248397312*x-205514752*y^2-115585024*x^2+91042816*x*y-910050037760], [1015/1287, true, -1200-18*x^2+24*x*y-36*y^2+78*x+312*y, 4813758664*y+2200345576*x-48786952*y^2-30511336*x^2+30248608*x*y-239427038160], [646/819, true, -192+28*y+28*x-4*y^2-4*x^2+4*x*y, 421230348*y+421230348*x-5470524*y^2-5470524*x^2+5470524*x*y-31827508632], [790/1001, true, 6440+472*x^2+592*x*y-872*y^2-6912*x+5184*y, 261999403776*y-77846443488*x-3207670168*y^2+225116168*x^2+1122423088*x*y-999436786280], [547/693, true, 4908+272*x^2+436*x*y-568*y^2-4900*x+3500*y, 145997181000*y-60238668600*x-1697597136*y^2+177274224*x^2+740700072*x*y-1068942322584], [1016/1287, true, 3608+136*x^2+304*x*y-344*y^2-3168*x+2112*y, 72916249472*y-39390491008*x-832679824*y^2+95475056*x^2+460132384*x*y-596540268912], [2371/3003, true, 2468+52*x^2+196*x*y-188*y^2-1800*x+1080*y, 31530033480*y-21693697080*x-371243308*y^2+31966772*x^2+264758836*x*y-205888045172], [7114/9009, true, 1464+8*x^2+112*x*y-88*y^2-832*x+416*y, 11012313312*y-9583557984*x-145731096*y^2-1704024*x^2+137443824*x*y-22010094792], [7115/9009, true, 620-8*x^2+52*x*y-32*y^2-252*x+84*y, 2616266576*y-2817385648*x-47391808*y^2-12108352*x^2+60806128*x*y+13849939440], [647/819, true, -252+32*y+32*x-4*y^2-4*x^2+4*x*y, 481406112*y+481406112*x-5470524*y^2-5470524*x^2+5470524*x*y-41756509692], [113/143, true, 1000188+55566*x^2+24696*x*y+55566*y^2-611226*x-611226*y, -6268577925456*y-3610145178486*x+54518838836*y^2+27665982806*x^2+17600260216*x*y+109969638991828], [72/91, true, 735904-209844*y-451008*x+14732*y^2+41528*x^2+17168*x*y, -1868388574536*y-2923381896732*x+15724332968*y^2+26380831172*x^2+6296557792*x*y+60848607505456], [7129/9009, true, 1064448+27648*x^2+13824*x*y+27648*y^2-345600*x-345600*y, -3511218585600*y-2210523955200*x+26969407488*y^2+15144910848*x^2+9901522944*x*y+105117183295488], [61/77, true, 550564+25970*x^2+20776*x*y-7420*y^2-327222*x-26712*y, 199477088910*y-2384778776490*x-7227912150*y^2+18875682450*x^2+10425984120*x*y+37643492845980], [7138/9009, true, 640904+19888*x^2+9592*x*y+6688*y^2-246840*x-114840*y, -1006325737340*y-1729024945340*x+7121304608*y^2+13691297408*x^2+4054222372*x*y+53986740992004], [649/819, true, 738500+12250*x^2+7000*x*y+12250*y^2-173250*x-173250*y, -1739114789500*y-1189802770750*x+11841251000*y^2+7301482250*x^2+5063197000*x*y+71400764541000], [794/1001, true, 388800+11232*x^2+25728*x*y-16992*y^2-216864*x+37152*y, 922747622148*y-1757324346426*x-18660788248*y^2+8410645778*x^2+18680210392*x*y+24675906014320], [1021/1287, true, 403200-19200*y-172800*x-3840*y^2+11520*x^2+11520*x*y, 63562766080*y-1361820289280*x-3897681664*y^2+9060346112*x^2+6639676672*x*y+30056189725440], [7148/9009, true, 403584+8384*x^2+4864*x*y+2624*y^2-118976*x-55616*y, -477864194544*y-895294763154*x+2766663756*y^2+6216503166*x^2+2365254216*x*y+35066062572156], [2383/3003, 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121961945160*y-124800086070*x-4007612484*y^2-1968256854*x^2+5999325048*x*y+1870026578496], [184/231, true, 56700-108*x^2+2628*x*y-972*y^2-14472*x-4104*y, 1663361832*y-149822357784*x-1264128844*y^2-116509756*x^2+2503055236*x*y+5070461432740], [7177/9009, true, 42588+234*x^2+936*x*y-156*y^2-9126*x-4056*y, -25530445226*y-90786699146*x-220165366*y^2+236172074*x^2+797399896*x*y+4130685262188], [7178/9009, true, 17904+128*x^2+208*x*y+32*y^2-3248*x-1904*y, -15644483316*y-30016327572*x+23564088*y^2+116887752*x^2+156046932*x*y+1743037248996], [2393/3003, true, 3348+18*x^2+24*x*y+18*y^2-450*x-450*y, -3994943700*y-3694216350*x+15153008*y^2+13330418*x^2+18117544*x*y+315108972688], [114/143, true, -93296-13720*x^2+10976*x*y-13720*y^2+74088*x+74088*y, 1074670456860*y+1181741971410*x-19002474400*y^2-20084004850*x^2+16294434520*x*y-18326345885120], [653/819, true, -89856+34560*y+34560*x-6912*y^2-6912*x^2+6912*x*y, 519918600960*y+519918600960*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-16004039844096], [7184/9009, true, -38000-3000*x^2+4000*x*y-3000*y^2+11000*x+11000*y, 190134197000*y+157716028250*x-4091633500*y^2-3823714750*x^2+5040553000*x*y-7166357623500], [7186/9009, true, 18576-216*x^2+864*x*y-216*y^2-2808*x-2808*y, -18109371852*y-32248392462*x-336372264*y^2-237497994*x^2+926022456*x*y+1855273606344], [2396/3003, true, 2704+8*x^2+32*x*y+8*y^2-360*x-360*y, -3323242560*y-3640958310*x+5481788*y^2+7407338*x^2+29318152*x*y+287517896284], [799/1001, true, -82340-10258*x^2+6808*x*y-14122*y^2+61686*x+96462*y, 1429597959768*y+1288397274714*x-19889715348*y^2-18463445802*x^2+10898663832*x*y-20010248694540], [7192/9009, true, -116200+53400*y+36600*x-7520*y^2-5840*x^2+4360*x*y, 779649437380*y+690961451620*x-10380989344*y^2-9574734928*x^2+6586534372*x*y-22529606303820], [7193/9009, true, -83776-3026*x^2+2584*x*y-3536*y^2+19074*x+24684*y, 359106196526*y+322966163366*x-4819024714*y^2-4520346754*x^2+3702409816*x*y-14877393515964], [218/273, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [7195/9009, true, -9460-506*x^2+616*x*y-374*y^2+2574*x+858*y, 19159685116*y+34066679218*x-539401288*y^2-643646002*x^2+810834952*x*y-1648996329540], [1028/1287, true, 2480-128*x^2+208*x*y-32*y^2+336*x-1008*y, -9308736052*y+4004536844*x-72785848*y^2-159235672*x^2+266464372*x*y+225755667540], [2399/3003, true, 2800-10*x^2+40*x*y+20*y^2-150*x-600*y, -6568033230*y-1324088370*x+14788386*y^2-16993098*x^2+50035752*x*y+324919711260], [7198/9009, true, 764+4*x^2+4*x*y+4*y^2-96*x-96*y, -1075953824*y-924016544*x+4308116*y^2+3444836*x^2+3610516*x*y+87613799316], [800/1001, true, -4536*x^2+7056*x*y-15876*y^2+9072*x+111132*y, 1868546157192*y+861269712732*x-23405626696*y^2-13231117156*x^2+9062846176*x*y-11932947392240], [7201/9009, true, 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1057536+20196*x^2+24888*x*y+40086*y^2-293760*x-472770*y, -5480731885860*y-2261991320820*x+41248651388*y^2+8736120428*x^2+28224553504*x*y+134345199880528], [7244/9009, true, 524288+16384*x^2+16384*x*y+16384*y^2-196608*x-196608*y, -2203553431552*y-1892385882112*x+17646043136*y^2+14110048256*x^2+14788673536*x*y+64886063235072], [115/143, true, 1108096+18128*x^2+26752*x*y+31328*y^2-283536*x-402336*y, -4526658840726*y-2559627410076*x+31682141118*y^2+11813136768*x^2+28083371112*x*y+137779159840056], [7253/9009, true, 345600+8640*x^2+10800*x*y+8640*y^2-112320*x-112320*y, -1241357238000*y-1130849002800*x+9090630000*y^2+7834854600*x^2+10031404500*x*y+42291809424000], [62/77, true, 911680+12728*x^2+22496*x*y+20276*y^2-215784*x-283716*y, -3097725675462*y-2074621530168*x+19922711342*y^2+9588326036*x^2+22734893992*x*y+110501038780000], [7262/9009, true, 147456+3072*x^2+4608*x*y+3072*y^2-43008*x-43008*y, -469403511808*y-445205060608*x+3151242752*y^2+2876260352*x^2+4365776128*x*y+17815742386176], 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287196+12116*x^2+8788*x*y+5876*y^2-132080*x-82160*y, -888728615280*y-1275842311920*x+6952441788*y^2+11351461068*x^2+6293494044*x*y+32617751306508], [74/91, true, 423500+12250*x^2+7000*x*y+12250*y^2-141750*x-141750*y, -1634108949000*y-1117963786500*x+13598798000*y^2+8385210500*x^2+5814706000*x*y+48362034673000], [7327/9009, true, 640904+6688*x^2+9592*x*y+19888*y^2-114840*x-246840*y, -2934812918840*y-551536022840*x+20230492208*y^2-1435661392*x^2+12899250472*x*y+75244496257704], [7334/9009, true, 221760+6912*x^2+6948*x*y+3888*y^2-83088*x-58896*y, -657444422272*y-884224713856*x+4502996096*y^2+7080044864*x^2+5935926496*x*y+26760321500160], [815/1001, true, 412608+9408*x^2+8064*x*y+9408*y^2-120960*x-120960*y, -1367644101120*y-1118444659200*x+10255006976*y^2+7737840896*x^2+7119159808*x*y+48889952102656], [1048/1287, true, 772008+8588*x^2+12844*x*y+17708*y^2-150100*x-241300*y, -2762815146300*y-1247397356700*x+17942554188*y^2+4166028828*x^2+14347894284*x*y+92598030061488], [1049/1287, true, 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35997412352*y-771237778432*x-2759210752*y^2+6413916416*x^2+4700298496*x*y+12178500295680], [823/1001, true, 93240+5400*x^2+2160*x*y-900*y^2-58320*x-1620*y, 65642252940*y-292824332460*x-919923700*y^2+2700950900*x^2+513741280*x*y+3924725647120], [7409/9009, true, -167832-10584*x^2+3024*x*y-1764*y^2+99792*x+2772*y, -7434439408*y+1892301863012*x-4372096864*y^2-20072396884*x^2+8867077024*x*y-33918510521112], [7415/9009, true, 147456+4992*x^2+6048*x*y+192*y^2-64128*x-25728*y, -234510607408*y-711367788208*x+112190792*y^2+5531022392*x^2+5105404948*x*y+16847165378736], [824/1001, true, 175996+6026*x^2+3496*x*y+1886*y^2-69966*x-32706*y, -329545530864*y-617414720274*x+2331940644*y^2+5239710234*x^2+1993604184*x*y+17982208567224], [7417/9009, true, 195000+4500*x^2+1500*x*y+4500*y^2-52500*x-52500*y, -616017132500*y-257736132500*x+4988133500*y^2+1731033500*x^2+1224044500*x*y+18716017110000], [7418/9009, true, 197136-1110*x^2+2664*x*y+6660*y^2-2442*x-87912*y, 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263292643152*y+218091657168*x-1542502872*y^2-1028855304*x^2-2898917964*x*y-10531705222800], [828/1001, true, -13740-150*x^2-360*x*y-150*y^2+2970*x+2970*y, 22370303340*y+23011778790*x-99437800*y^2-105917350*x^2-253049720*x*y-1146033553280], [7453/9009, true, 15960+180*x^2+300*x*y+180*y^2-3300*x-3300*y, -35742492500*y-34609932500*x+181395500*y^2+171099500*x^2+287072500*x*y+1884772890000], [7454/9009, true, 151368+986*x^2+2584*x*y+1496*y^2-25058*x-30668*y, -312235860618*y-248995300158*x+1332310086*y^2+809660826*x^2+2496303144*x*y+16905754242108], [7460/9009, true, -221184-4608*x^2-6912*x*y-4608*y^2+64512*x+64512*y, 601355651072*y+570354870272*x-4037075968*y^2-3684794368*x^2-5593021952*x*y-22823854301184], [829/1001, true, -36144-504*x^2-864*x*y-504*y^2+8424*x+8424*y, 78687522936*y+76596283566*x-436680796*y^2-415557166*x^2-716285336*x*y-3702990634916], [7463/9009, true, 48816+360*x^2+864*x*y+360*y^2-8712*x-8712*y, 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735686940560*y-109300837360*x-12748349380*y^2-3146215540*x^2+8776541020*x*y-2390923091700], [64/77, true, -67280-4060*x^2+5800*x*y-10150*y^2+10440*x+65250*y, 943253372160*y+406162563840*x-12853175040*y^2-7428015360*x^2+6650726400*x*y-16541167334400], [7489/9009, true, -185920-9344*x^2+6976*x*y-12032*y^2+58560*x+85440*y, 1179079013200*y+1044954446800*x-15699372160*y^2-14480057920*x^2+9960944080*x*y-34071961954800], [119/143, true, 29128+1496*x^2+3344*x*y-3784*y^2-28512*x+19008*y, 332874704448*y-179824087872*x-4646058664*y^2+532717016*x^2+2567375824*x*y-1457864888792], [7498/9009, true, -54080-780*x^2+1300*x*y-3900*y^2+1300*x+32500*y, 453816507100*y+257263966300*x-4810912060*y^2-3024070780*x^2+1370614900*x*y-13756193051640], [7499/9009, true, -180360-5400*x^2+2160*x*y-5400*y^2+47520*x+47520*y, 617536389888*y+874626812928*x-7184324160*y^2-9309038400*x^2+4161435264*x*y-31921248533184], [7505/9009, true, 76500+1500*x^2+4500*x*y-900*y^2-30000*x-10800*y, 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-122356087700*y-246782297300*x+653592380*y^2+1784739740*x^2+917471380*x*y+9003308563200], [7517/9009, true, 100160+1600*x^2+640*x*y+1600*y^2-21120*x-21120*y, -246585129472*y-128949432832*x+1780079360*y^2+807883520*x^2+515628544*x*y+10008312266496], [358/429, true, 108160-520*x^2+1300*x*y+2600*y^2-1560*x-39000*y, -478931816880*y+150653345040*x+2412221040*y^2-2357363520*x^2+2432100600*x*y+10367416009440], [7523/9009, true, -62100-540*x^2-2700*x*y-540*y^2+15120*x+15120*y, 72316625040*y+80954050320*x-166809780*y^2-264962340*x^2-1309940100*x*y-3415224521700], [76/91, true, 7840+104*x^2+248*x*y+38*y^2-2052*x-1458*y, -41491676160*y-66281149440*x+78402560*y^2+328801280*x^2+681410560*x*y+2612891238400], [1075/1287, true, 52144+864*x^2+976*x*y+384*y^2-13520*x-8720*y, -97630340720*y-152292913520*x+451482944*y^2+948415424*x^2+872131216*x*y+6437132102544], [7526/9009, true, 104220+1350*x^2+1080*x*y+1350*y^2-20790*x-20790*y, -235930142448*y-188249649588*x+1478032920*y^2+1083979260*x^2+943605936*x*y+11862977208264], [193/231, true, 196900+836*x^2+2156*x*y+2948*y^2-22968*x-48312*y, -557674865880*y-171079327320*x+2896595420*y^2-32158660*x^2+2656428340*x*y+22674491764900], [837/1001, true, -39960-360*x^2-1200*x*y-360*y^2+8640*x+8640*y, 56078668800*y+60217043040*x-187612600*y^2-229414360*x^2-757677200*x*y-2929325719880], [7534/9009, true, 9360+116*x^2+196*x*y+68*y^2-2140*x-1660*y, -25791984900*y-34683452100*x+99750420*y^2+180581940*x^2+269444340*x*y+1628832763800], [685/819, true, 55080+600*x^2+720*x*y+600*y^2-10560*x-10560*y, -117021380608*y-105552206848*x+634369280*y^2+539582720*x^2+665499136*x*y+6445763506944], [2512/3003, true, 172368+864*x^2+2196*x*y+1944*y^2-23544*x-36504*y, -399046023024*y-223641719664*x+1848699824*y^2+519879344*x^2+2348752216*x*y+19932484166848], [7541/9009, true, -232540-3476*x^2-7436*x*y-5588*y^2+57552*x+74448*y, 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402219623520*y+377613624960*x-2459942680*y^2-2211397240*x^2-3205763600*x*y-17728825354760], [7552/9009, true, -26600-300*x^2-500*x*y-300*y^2+5500*x+5500*y, 51359212300*y+49731810700*x-260651380*y^2-245856820*x^2-412501100*x*y-2708273660400], [2518/3003, true, 32800+200*x^2+500*x*y+200*y^2-5400*x-5400*y, -50373953520*y-52122974640*x+162768560*y^2+176018720*x^2+437704600*x*y+3412266057760], [120/143, true, -524880-9396*x^2-13176*x*y-6318*y^2+143856*x+116154*y, 1062944593920*y+1310145914880*x-5638973440*y^2-8135956480*x^2-10195681280*x*y-52568047001600], [7561/9009, true, -169440-1984*x^2-3488*x*y-1408*y^2+37280*x+31520*y, 295031365200*y+358079950800*x-1231476480*y^2-1804645440*x^2-2901253680*x*y-17530222834800], [7562/9009, true, -20340-150*x^2-360*x*y-150*y^2+3630*x+3630*y, 38207057768*y+39302657108*x-138954640*y^2-148009180*x^2-353612336*x*y-2376567412824], [2521/3003, true, 23220+180*x^2+300*x*y+180*y^2-3960*x-3960*y, 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185959887872*y-200255097856*x-5894929408*y^2-1506122752*x^2+7563497728*x*y+3352950558720], [1084/1287, true, -51200-1920*x^2+2560*x*y-3840*y^2+6400*x+25600*y, 374782524160*y+171311261440*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-10431722327040], [7589/9009, true, -108416-3916*x^2+3344*x*y-4576*y^2+24684*x+31944*y, 452255719454*y+406741225814*x-6069044506*y^2-5692891666*x^2+4662787864*x*y-18736480665756], [1085/1287, true, 45312-64*x^2+3856*x*y-1024*y^2-14912*x-7232*y, -50933261808*y-219363054768*x-1982762496*y^2-68787576*x^2+5123099124*x*y+6263485813728], [844/1001, true, 36872+352*x^2+2728*x*y-1298*y^2-15444*x-594*y, 44803951236*y-180142809264*x-1899994108*y^2+372195392*x^2+2894857888*x*y+3636077803312], [7597/9009, true, 12656+364*x^2+1372*x*y-1316*y^2-10500*x+6300*y, 117729544900*y-81001787900*x-1663416148*y^2+143232332*x^2+1186295116*x*y-478109083032], [7598/9009, true, -27744-340*x^2+544*x*y-1360*y^2+748*x+11968*y, 168755937570*y+83056483620*x-1684839150*y^2-976579200*x^2+580323960*x*y-6323369659560], [2533/3003, true, -88000-2000*x^2+1000*x*y-2000*y^2+18000*x+18000*y, 237919539000*y+310120239000*x-2661061000*y^2-3208036000*x^2+1717280500*x*y-14927253614000], [65/77, true, 24000+192*x^2+1152*x*y-144*y^2-6912*x-3888*y, -45278937594*y-115727885856*x-382859662*y^2+328745876*x^2+1680445336*x*y+3924075108760], [7606/9009, true, 30720+512*x^2+1024*x*y-256*y^2-10240*x-2560*y, -11485393920*y-118829652480*x-379786752*y^2+596070144*x^2+968398848*x*y+3437242214400], [7607/9009, true, 22848+576*x^2+384*x*y-144*y^2-8448*x-528*y, 7371528362*y-65260339408*x-156660934*y^2+443602436*x^2+191478424*x*y+1623053787048], [1087/1287, true, -48960-1600*x^2+640*x*y-400*y^2+16640*x+1040*y, 9534160350*y+274816713600*x-785544750*y^2-2640667500*x^2+1437744600*x*y-8664646523400], [7613/9009, true, -78080-64*x^2-3856*x*y-1024*y^2+15936*x+23616*y, 138438891536*y+101497445456*x-377184064*y^2+42605096*x^2-2391970316*x*y-5250711570720], [846/1001, true, -22032-108*x^2-864*x*y-108*y^2+4860*x+4860*y, 9361300410*y+10861735500*x-6970698*y^2-22126608*x^2-175175784*x*y-501238827432], [7615/9009, true, 10192+108*x^2+292*x*y+12*y^2-2540*x-1580*y, -24624717260*y-48036997580*x-9811516*y^2+203027396*x^2+467345164*x*y+1963962367224], [2539/3003, true, 36288+432*x^2+216*x*y+432*y^2-6480*x-6480*y, -75093444360*y-47275854120*x+480655944*y^2+269916624*x^2+176467572*x*y+3805469334576], [586/693, true, 46240-204*x^2+544*x*y+816*y^2-884*x-14144*y, -170681424914*y+33444406996*x+742531586*y^2-684921784*x^2+902089624*x*y+4790616801000], [7622/9009, true, -172032-1024*x^2-6656*x*y-4096*y^2+34816*x+59392*y, 490027152384*y+270682739712*x-2759242752*y^2-266692608*x^2-5618495232*x*y-15848392863744], [11/13, true, -78400-380*x^2-2480*x*y-1040*y^2+14580*x+20520*y, 158452820658*y+115461949482*x-631036786*y^2-196785562*x^2-1938993512*x*y-6771569811740], [7624/9009, true, -19456-128*x^2-512*x*y-128*y^2+3840*x+3840*y, 22234685440*y+24360413440*x-55015168*y^2-74339968*x^2-294236672*x*y-1291184848896], [7625/9009, true, 6336+68*x^2+112*x*y+32*y^2-1364*x-968*y, -13491030762*y-20226317166*x+42306678*y^2+97970202*x^2+138378888*x*y+1004103357804], [2542/3003, true, 26624+256*x^2+256*x*y+256*y^2-4608*x-4608*y, -51645783552*y-44352794112*x+275719424*y^2+220469504*x^2+231073024*x*y+3069419462656], [587/693, true, -295680-5184*x^2-9264*x*y-9216*y^2+78528*x+110784*y, 1003175322512*y+604025107664*x-7451045248*y^2-2915247352*x^2-7897348652*x*y-29679272455200], [848/1001, true, -153000-1632*x^2-3672*x*y-2958*y^2+31212*x+43146*y, 388746712728*y+254073673656*x-2352929224*y^2-992595496*x^2-3147610496*x*y-14985143371520], [7633/9009, true, -46800-340*x^2-980*x*y-580*y^2+8300*x+10700*y, 93540678660*y+70422863940*x-438933924*y^2-228771972*x^2-822871764*x*y-4479414671160], [694/819, true, -5136-36*x^2-96*x*y-36*y^2+924*x+924*y, 6676079894*y+6969924764*x-22349506*y^2-24777976*x^2-65649416*x*y-415862083416], [2545/3003, true, 5952+48*x^2+72*x*y+48*y^2-1008*x-1008*y, -11001644808*y-10434493608*x+49238168*y^2+44941568*x^2+68215252*x*y+698386137232], [7636/9009, true, 48840+176*x^2+616*x*y+374*y^2-6292*x-8866*y, -92059475508*y-62820693936*x+330120252*y^2+125653248*x^2+627304608*x*y+5511290092560], [7640/9009, true, -524288+196608*y+196608*x-16384*y^2-16384*x^2-16384*x*y, 1799231700992*y+1545159114752*x-14408237056*y^2-11521048576*x^2-12075155456*x*y-52980363558912], [849/1001, true, -321408-6048*x^2-6912*x*y-6048*y^2+85536*x+85536*y, 789408274446*y+703311879996*x-5337783198*y^2-4468122648*x^2-5272075512*x*y-31887460736208], [7642/9009, true, -118784-1536*x^2-2048*x*y-1536*y^2+25600*x+25600*y, 237853580800*y+219948678400*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-11850492337152], [7643/9009, true, -17024-160*x^2-256*x*y-160*y^2+3168*x+3168*y, 29566297970*y+28406131820*x-139516150*y^2-129928000*x^2-209666840*x*y-1721703498960], [695/819, true, 19072+96*x^2+256*x*y+96*y^2-2912*x-2912*y, -27137053658*y-28331479748*x+76870274*y^2+85222904*x^2+225798664*x*y+1993560739248], [850/1001, true, -763840-16988*x^2-18848*x*y-10664*y^2+237708*x+180792*y, 1616281919406*y+2039445991044*x-9648979942*y^2-13923364504*x^2-13354200104*x*y-74134928889560], [1093/1287, true, -381040-5588*x^2-7436*x*y-3476*y^2+93060*x+71940*y, 650182345780*y+837571066420*x-3107013772*y^2-4810547596*x^2-5607469652*x*y-37731395530920], [7652/9009, true, -115752-1144*x^2-1976*x*y-754*y^2+23452*x+19162*y, 177422001372*y+224213347512*x-655330284*y^2-1042035624*x^2-1621934496*x*y-11925665497872], [2551/3003, true, -13120-80*x^2-200*x*y-80*y^2+2160*x+2160*y, 22657740600*y+23444434200*x-73211800*y^2-79171600*x^2-196875500*x*y-1534805862800], [7654/9009, true, 14960+100*x^2+160*x*y+100*y^2-2340*x-2340*y, 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225353955200*y+56163493760*x-6855395584*y^2-4932776704*x^2+8589110368*x*y-279869121024], [853/1001, true, -23976-2808*x^2+3888*x*y-3672*y^2+7776*x+15552*y, 251313220224*y+136605566592*x-5004984784*y^2-3846321616*x^2+4932934816*x*y-5160179967152], [698/819, true, -46656-2916*x^2+2916*x*y-2916*y^2+14580*x+14580*y, 219340659780*y+219340659780*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-8079712303896], [1097/1287, true, -49896-3672*x^2+3888*x*y-2808*y^2+19008*x+9504*y, 164433474656*y+262925492192*x-4042558552*y^2-4856542168*x^2+5367208432*x*y-8602673299464], [7685/9009, true, 31500-1500*x^2+4500*x*y-1500*y^2-6000*x-6000*y, -30327286000*y-87390886000*x-2785256500*y^2-2136806500*x^2+6259769500*x*y+4097522341500], [122/143, true, 14476-814*x^2+2728*x*y-1474*y^2-4950*x+990*y, 55840680720*y-57140132940*x-2242653912*y^2-1101433572*x^2+3357213264*x*y+1030581863928], [7687/9009, true, -5016-576*x^2+1464*x*y-1296*y^2-1560*x+5640*y, 100357632760*y-1602071240*x-1756303024*y^2-829396624*x^2+1687921816*x*y-1861020459144], [7688/9009, true, -24336-780*x^2+936*x*y-1170*y^2+3432*x+7722*y, 114741376640*y+65548633040*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-4469567776320], [233/273, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [7694/9009, true, 11328-256*x^2+964*x*y-16*y^2-1808*x-3728*y, -89153868672*y-54604167552*x-380502144*y^2-773112384*x^2+2787228576*x*y+3357565212672], [855/1001, true, 15936-192*x^2+1152*x*y-192*y^2-3456*x-3456*y, -41646439296*y-61844340096*x-529759552*y^2-325740352*x^2+1900861312*x*y+2678976104896], [592/693, true, 13224-36*x^2+876*x*y-324*y^2-4020*x-1140*y, 593624020*y-53468913740*x-541373908*y^2-49896292*x^2+1071954652*x*y+1531677143568], [7697/9009, true, 4320+32*x^2+448*x*y-352*y^2-2816*x+1408*y, 29855989152*y-25982424864*x-466934328*y^2-5459832*x^2+440381232*x*y-24039369000], [2566/3003, 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6406632848*y+69511855952*x-250487968*y^2-660262144*x^2+417772912*x*y-2685840832560], [7712/9009, true, -129024-168*x^2-5292*x*y-4368*y^2+22512*x+56112*y, 439451082752*y+138567114752*x-2738126848*y^2+681009152*x^2-4511270912*x*y-11247341174784], [857/1001, true, -75800-40*x^2-2480*x*y-1480*y^2+11520*x+24480*y, 187450946496*y+80947335744*x-881816976*y^2+193977072*x^2-2023253856*x*y-6383194495920], [1102/1287, true, -30576-36*x^2-876*x*y-324*y^2+4740*x+7620*y, 53324247460*y+34440813220*x-164012332*y^2+7655252*x^2-641507108*x*y-2401019669928], [7715/9009, true, -5832-24*x^2-144*x*y-24*y^2+1056*x+1056*y, 4023251936*y+4573327616*x-4983304*y^2-9529384*x^2-56533424*x*y-260458416792], [2572/3003, true, 3280+32*x^2+52*x*y+8*y^2-696*x-408*y, -4857004944*y-9318904848*x+8535024*y^2+42337296*x^2+56520936*x*y+462406734720], [7717/9009, true, 7896+72*x^2+48*x*y+72*y^2-1248*x-1248*y, -14290335488*y-10575538688*x+79541312*y^2+53563712*x^2+40782208*x*y+868616892096], [7718/9009, true, 14400-60*x^2+180*x*y+180*y^2-420*x-3780*y, -44224143964*y+2137179044*x+156095204*y^2-144952348*x^2+262149124*x*y+1604828167560], [1103/1287, true, -243012-4972*x^2-7436*x*y-10252*y^2+69520*x+111760*y, 981969365520*y+443354305680*x-7971506244*y^2-1850880564*x^2-6374473092*x*y-23501011825044], [6/7, true, -167076-1938*x^2-3672*x*y-4182*y^2+33966*x+54162*y, 481143640824*y+239199957612*x-3268398784*y^2-824523196*x^2-3183275984*x*y-15758004041192], [7723/9009, true, -78216-576*x^2-1464*x*y-1296*y^2+13080*x+20280*y, 180154610680*y+100966015480*x-1001544016*y^2-281647696*x^2-1272450344*x*y-7396981096296], [7724/9009, true, -22176-112*x^2-392*x*y-238*y^2+3388*x+4774*y, 41152856976*y+28082400192*x-174403152*y^2-66382848*x^2-331406208*x*y-2080801868544], [2575/3003, true, -2172-12*x^2-36*x*y-12*y^2+360*x+360*y, 2466991560*y+2615444040*x-6839572*y^2-7964212*x^2-23699516*x*y-168343906172], [7726/9009, true, 2508+18*x^2+24*x*y+18*y^2-390*x-390*y, 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14094273072*y+13367692272*x-63079312*y^2-57574912*x^2-87390968*x*y-894706664288], [7736/9009, true, 8856+36*x^2+108*x*y+36*y^2-1260*x-1260*y, -11715314380*y-12420289420*x+27839948*y^2+32417708*x^2+96467044*x*y+931758782448], [860/1001, true, -780704-22072*x^2-18848*x*y-12772*y^2+283464*x+199764*y, 1727012437524*y+2236056151824*x-11572672932*y^2-16714528632*x^2-11743794288*x*y-72016434522144], [7741/9009, true, -508656-9216*x^2-9264*x*y-5184*y^2+138480*x+98160*y, 857877144520*y+1153795129960*x-4700646688*y^2-7390810192*x^2-6196472888*x*y-47850471281832], [1106/1287, true, -235620-2958*x^2-3672*x*y-1632*y^2+52734*x+38148*y, 337706643032*y+465940069496*x-1459857928*y^2-2519638312*x^2-2662212128*x*y-22892451772560], [2581/3003, true, -67700-580*x^2-980*x*y-340*y^2+12840*x+9960*y, 90600208776*y+121833508104*x-291996684*y^2-528612588*x^2-788737068*x*y-6910077705300], [704/819, true, -7152-36*x^2-96*x*y-36*y^2+1092*x+1092*y, 11392609228*y+11894050168*x-32271484*y^2-35778064*x^2-94794224*x*y-836931627168], [7745/9009, true, 8136+48*x^2+72*x*y+48*y^2-1176*x-1176*y, -10173564016*y-9649101616*x+39027488*y^2+35621888*x^2+54069232*x*y+756033889296], [596/693, true, -23040*x^2+11520*x*y-7680*y^2+138240*x+15360*y, 189020936192*y+2050873899008*x-12933170176*y^2-34090590208*x^2+21570409984*x*y-326309191680], [123/143, true, 73872-22248*x^2+17568*x*y-648*y^2+121176*x-73224*y, -823240039644*y+1720375221906*x-5901490408*y^2-31594573858*x^2+28434092728*x*y+9641048540812], [7757/9009, true, -56320-12032*x^2+6976*x*y-9344*y^2+68352*x+46848*y, 613112211536*y+1027751063504*x-12628095448*y^2-17339900584*x^2+11321822452*x*y-9945669066960], [862/1001, true, -67280-10150*x^2+5800*x*y-4060*y^2+65250*x+10440*y, 141237978750*y+940170948750*x-6477333750*y^2-14547363750*x^2+10101375000*x*y-10767570367500], [7759/9009, true, 5720-31980*y+55380*x-1196*y^2-9932*x^2+8788*x*y, 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103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [7778/9009, true, -24336+3432*y+7722*x-780*y^2-1170*x^2+936*x*y, 51154590410*y+108323278910*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-3869484600180], [2593/3003, true, -9504-1296*x^2+1464*x*y-576*y^2+6768*x-1872*y, -7564998408*y+87855446712*x-963230224*y^2-1686112384*x^2+2041081636*x*y-1844005870256], [1112/1287, true, 20480-2048*x^2+3328*x*y-512*y^2+3072*x-9216*y, -114825644032*y+49396987904*x-1571206144*y^2-3437372416*x^2+5752086016*x*y+3299685580800], [865/1001, true, 10528-1072*x^2+1984*x*y-592*y^2+720*x-3600*y, -28846214100*y+9470091510*x-1200131424*y^2-1587164814*x^2+2983014648*x*y+1267626486996], [599/693, true, -4576-272*x^2+448*x*y-368*y^2+528*x+1584*y, 28090761776*y+10656976022*x-512672692*y^2-368591818*x^2+561035272*x*y-976234396284], [236/273, true, -8192-256*x^2+256*x*y-256*y^2+1536*x+1536*y, 23107493376*y+23107493376*x-350113536*y^2-350113536*x^2+350113536*x*y-1369644152832], 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559627323728*y+105170120528*x-4822085992*y^2+342200408*x^2-3074630828*x*y-9708208423728], [124/143, true, -99476-1066*x^2-1976*x*y-3406*y^2+18486*x+39546*y, 320347684404*y+77920243434*x-2358308304*y^2+90453726*x^2-1755053784*x*y-8134365667824], [601/693, true, -59800-380*x^2-980*x*y-1340*y^2+8700*x+18300*y, 152782169980*y+46869372220*x-952271284*y^2+10572332*x^2-873315068*x*y-5038577151360], [2605/3003, true, -6560-16*x^2-104*x*y-64*y^2+816*x+1392*y, 11485011384*y+6344126712*x-43113168*y^2-4167072*x^2-87788988*x*y-584895835440], [7816/9009, true, -508-2*x^2-8*x*y-2*y^2+78*x+78*y, 451642048*y+494820898*x-859612*y^2-1161562*x^2-4597448*x*y-33874408248], [7817/9009, true, 584+4*x^2+4*x*y+4*y^2-84*x-84*y, -941459596*y-808514476*x+4308116*y^2+3444836*x^2+3610516*x*y+66989104896], [2606/3003, true, 2800-10*x^2+40*x*y+20*y^2-150*x-600*y, -6568033230*y-1324088370*x+14788386*y^2-16993098*x^2+50035752*x*y+324919711260], [7820/9009, true, -221184-13824*x^2-6912*x*y-13824*y^2+138240*x+138240*y, 1141146040320*y+718420285440*x-10956321792*y^2-6152620032*x^2-4022493696*x*y-19691722432512], [79/91, true, -242000-7000*x^2-4000*x*y-7000*y^2+81000*x+81000*y, 689056384500*y+471412928250*x-5734219000*y^2-3535800250*x^2-2451893000*x*y-20392868406500], [7822/9009, true, -167936-3072*x^2-2048*x*y-3072*y^2+40960*x+40960*y, 358196776960*y+265082920960*x-2591882752*y^2-1745393152*x^2-1328903168*x*y-14489292711936], [7823/9009, true, -83376-1080*x^2-864*x*y-1080*y^2+16632*x+16632*y, 149076738360*y+118948954410*x-933921900*y^2-684931950*x^2-596234520*x*y-7495837246980], [2608/3003, true, -26624-256*x^2-256*x*y-256*y^2+4608*x+4608*y, 42169492992*y+36214666752*x-225128704*y^2-180016384*x^2-188674304*x*y-2506223230976], [7825/9009, true, -3344-24*x^2-32*x*y-24*y^2+520*x+520*y, 4831400860*y+4467707530*x-21145072*y^2-18601762*x^2-25281896*x*y-329556133572], [2609/3003, true, 2704+8*x^2+32*x*y+8*y^2-360*x-360*y, -3323242560*y-3640958310*x+5481788*y^2+7407338*x^2+29318152*x*y+287517896284], 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962340444032*y+852870685568*x-16016887552*y^2-14772913024*x^2+10162401376*x*y-12297820085760], [873/1001, true, -93960-5400*x^2+2160*x*y-5400*y^2+38880*x+38880*y, 480543386400*y+680601398400*x-6832917000*y^2-8853705000*x^2+3957886800*x*y-16168113523800], [7858/9009, true, -54080-3900*x^2+1300*x*y-780*y^2+32500*x+1300*y, 4960763500*y+547807067500*x-1638183100*y^2-6573149500*x^2+3186170500*x*y-9730052100600], [7859/9009, true, 39688-3784*x^2+3344*x*y+1496*y^2+23232*x-34848*y, -401278259008*y+374081377472*x+564864656*y^2-5843066224*x^2+5502969184*x*y+3174265712688], [55/63, true, -26364+35152*y+35152*x-8788*y^2-8788*x^2+8788*x*y, 528824614032*y+528824614032*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-5925239425404], [874/1001, true, -59524-4094*x^2+3496*x*y-4784*y^2+21114*x+27324*y, 376832160936*y+338908207176*x-6180653416*y^2-5797583176*x^2+4748535904*x*y-10333104185936], [7867/9009, true, -55000-2000*x^2+1000*x*y-2000*y^2+15000*x+15000*y, 190192090000*y+247909090000*x-2552692000*y^2-3077392000*x^2+1647346000*x*y-9018332130000], [1124/1287, true, -27744-1360*x^2+544*x*y-340*y^2+11968*x+748*y, 6565167180*y+189237185280*x-639270900*y^2-2148957000*x^2+1170026640*x*y-4701601355040], [2623/3003, true, 17276-1316*x^2+1372*x*y+364*y^2+7560*x-12600*y, -141439867800*y+112783578600*x+30261812*y^2-1895673388*x^2+2082504676*x*y+1474038491548], [7874/9009, true, 576-6912*x^2+6948*x*y-3888*y^2+27504*x+3312*y, 99264678656*y+402216818432*x-6532973824*y^2-9975611776*x^2+10809932224*x*y-652822889472], [125/143, true, -21312-3264*x^2+3456*x*y-2496*y^2+13824*x+6912*y, 124761881376*y+199491491232*x-3748850968*y^2-4503695512*x^2+4977259888*x*y-4014558886856], [716/819, true, -24696+6860*y+6860*x-1372*y^2-1372*x^2+1372*x*y, 103201435260*y+103201435260*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-4218124117536], [7877/9009, true, -19776-576*x^2+384*x*y-576*y^2+4224*x+4224*y, 56184470144*y+66089665664*x-750248896*y^2-832110016*x^2+571828864*x*y-3182282264256], [202/231, true, -9600+360*y+3240*x-120*y^2-360*x^2+180*x*y, 4430178192*y+48067357008*x-202080784*y^2-532665472*x^2+337037656*x*y-1541202344480], [7879/9009, true, 5856-352*x^2+448*x*y+32*y^2+1664*x-3328*y, -35687006784*y+22738015872*x-64281384*y^2-472847976*x^2+627681744*x*y+552607242408], [7883/9009, true, 10300-3820*x^2+3380*x*y-460*y^2+17040*x-9840*y, -140080263664*y+311157731984*x-1874768836*y^2-7002473332*x^2+6933180028*x*y+1743592761900], [7885/9009, true, -3344-864*x^2+976*x*y-384*y^2+3760*x-1040*y, -4817975360*y+55953135040*x-736151296*y^2-1288615936*x^2+1559902144*x*y-790551026496], [7886/9009, true, -4004-322*x^2+392*x*y-238*y^2+1386*x+462*y, 11172240728*y+19864686644*x-371718832*y^2-443557228*x^2+558772528*x*y-763933449096], [239/273, true, -3564+648*y+648*x-108*y^2-108*x^2+108*x*y, 9748473768*y+9748473768*x-147704148*y^2-147704148*x^2+147704148*x*y-594213787404], [7888/9009, true, 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481406112*y+481406112*x-5470524*y^2-5470524*x^2+5470524*x*y-41756509692], [1130/1287, true, -43904-5488*x^2-1372*x*y-5488*y^2+49392*x+49392*y, 297456317312*y+63180182912*x-3064367488*y^2-402138688*x^2-631635872*x*y-2724588109824], [879/1001, true, -76464-3024*x^2-864*x*y-3024*y^2+31104*x+31104*y, 205284347136*y+64672144416*x-1868182056*y^2-447856776*x^2-410794416*x*y-4095157167576], [7912/9009, true, -65000-1500*x^2-500*x*y-1500*y^2+17500*x+17500*y, 125450297500*y+52487297500*x-1015820500*y^2-352520500*x^2-249273500*x*y-3811468530000], [7913/9009, true, -40064-640*x^2-256*x*y-640*y^2+8448*x+8448*y, 65246065280*y+34119831680*x-471006400*y^2-213764800*x^2-136434560*x*y-2648184815040], [2638/3003, true, -18144-216*x^2-108*x*y-216*y^2+3240*x+3240*y, 26745610320*y+16837975440*x-171192528*y^2-96134688*x^2-62851464*x*y-1355372639712], [7915/9009, true, -5264-48*x^2-32*x*y-48*y^2+832*x+832*y, 7275872032*y+5384496832*x-40498168*y^2-27271768*x^2-20764112*x*y-442253112744], [7916/9009, true, 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905562240*y+992137740*x-1493752*y^2-2018452*x^2-7989008*x*y-78346778936], [7927/9009, true, 764+4*x^2+4*x*y+4*y^2-96*x-96*y, -898273376*y-771426656*x+3596684*y^2+2875964*x^2+3014284*x*y+73145465484], [881/1001, true, 232960-3136*x^2+7168*x*y+25088*y^2-4032*x-258048*y, -2987687131110*y+1860296589360*x+21552040710*y^2-27417491820*x^2+17253234360*x*y+28234096840800], [7937/9009, true, -3136*x^2+5488*x*y-21952*y^2+3136*x+153664*y, 1948808434320*y+1432710726480*x-24939664560*y^2-19074917880*x^2+5588228340*x*y-12419615476800], [7939/9009, true, 235200-1764*x^2+4116*x*y+12348*y^2-2940*x-144060*y, -1660246144700*y+869364789700*x+10643161460*y^2-12353301580*x^2+8899970620*x*y+20371030744200], [7946/9009, true, -9216*x^2+13824*x*y-27648*y^2+18432*x+165888*y, 2199908480000*y+963374720000*x-32111680000*y^2-18060160000*x^2+14225440000*x*y-12043430400000], [883/1001, true, -74592-1764*x^2+3024*x*y-10584*y^2+2268*x+81648*y, 1041117818598*y+676014548418*x-12002067094*y^2-8314155274*x^2+2971450984*x*y-21216214104452], [7949/9009, true, 159840-900*x^2+2160*x*y+5400*y^2-1980*x-71280*y, -816126020182*y+344228134778*x+4653835610*y^2-4935868150*x^2+4182015064*x*y+13383809404596], [7955/9009, true, -14400*x^2+18000*x*y-24000*y^2+43200*x+120000*y, 1685371035920*y+870599610320*x-29741740240*y^2-20482974040*x^2+21179593300*x*y-7683311673600], [68/77, true, -81200-4900*x^2+7000*x*y-12250*y^2+12600*x+78750*y, 1060293082860*y+456559573140*x-14448008340*y^2-8349690060*x^2+7475954400*x*y-18593609972400], [7957/9009, true, -62400-900*x^2+1500*x*y-4500*y^2+1500*x+37500*y, 481926270100*y+273199105300*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-14608262820840], [379/429, true, 83200-400*x^2+1000*x*y+2000*y^2-1200*x-30000*y, -340185475080*y+107009135640*x+1713401640*y^2-1674436320*x^2+1727522100*x*y+7363980041040], [724/819, true, 65536*y+65536*x-16384*y^2-16384*x^2+16384*x*y, 985919717376*y+985919717376*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-3585162608640], [885/1001, true, -67200-7056*x^2+8064*x*y-9408*y^2+27216*x+48384*y, 699002376930*y+457772849820*x-12103719610*y^2-9667057720*x^2+10086179080*x*y-13291705653800], [1138/1287, true, -61440-2304*x^2+3072*x*y-4608*y^2+7680*x+30720*y, 422712083200*y+193219628800*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-11765796940800], [7967/9009, true, -32640-400*x^2+640*x*y-1600*y^2+880*x+14080*y, 183106836198*y+90119554668*x-1828116810*y^2-1059626880*x^2+629674344*x*y-6861105032184], [613/693, true, 32640-144*x^2+384*x*y+576*y^2-624*x-9984*y, -111501844454*y+21848382556*x+485077046*y^2-447442024*x^2+589312264*x*y+3129588411000], [1139/1287, true, -14400*x^2+10800*x*y-8640*y^2+72000*x+25920*y, 417780231440*y+1099263822800*x-13789450480*y^2-21533582200*x^2+18083895700*x*y-1129235640000], [886/1001, true, -50400-7056*x^2+6048*x*y-5292*y^2+36288*x+20412*y, 320084918010*y+537168986640*x-7829434210*y^2-10022202580*x^2+9192506440*x*y-9058438079600], [725/819, true, -46656-2916*x^2+2916*x*y-2916*y^2+14580*x+14580*y, 219340659780*y+219340659780*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-8079712303896], [7976/9009, true, -28080-900*x^2+1080*x*y-1350*y^2+3960*x+8910*y, 126765644192*y+72417770612*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-4937953988496], [2659/3003, true, -11520-144*x^2+216*x*y-432*y^2+432*x+3888*y, 51560355000*y+22579095000*x-501745000*y^2-282190000*x^2+222272500*x*y-2221801850000], [7979/9009, true, 8640-36*x^2+108*x*y+108*y^2-252*x-2268*y, -24661857220*y+1191810620*x+87047420*y^2-80833540*x^2+146189020*x*y+894941983800], [614/693, true, -9216*x^2+4608*x*y-3072*y^2+55296*x+6144*y, 95229178880*y+1033234949120*x-6515760640*y^2-17174917120*x^2+10867221760*x*y-164395315200], [887/1001, true, -32480-4900*x^2+2800*x*y-1960*y^2+31500*x+5040*y, 81711337950*y+543923290350*x-3747374550*y^2-8416182150*x^2+5844015000*x*y-6229433393100], [7984/9009, true, -30720-2304*x^2+1536*x*y-1152*y^2+15360*x+3840*y, 62729075200*y+245520140800*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-5492545228800], [7985/9009, true, -18720-900*x^2+720*x*y-600*y^2+5940*x+2640*y, 42044373602*y+89031783302*x-922270630*y^2-1310596330*x^2+1149592936*x*y-3180360840996], [242/273, true, -8192-256*x^2+256*x*y-256*y^2+1536*x+1536*y, 23107493376*y+23107493376*x-350113536*y^2-350113536*x^2+350113536*x*y-1369644152832], [1141/1287, true, -2400-36*x^2+48*x*y-72*y^2+156*x+624*y, 8586339190*y+3924773710*x-87021670*y^2-54423310*x^2+53954680*x*y-427067891100], [2663/3003, true, 1120-4*x^2+16*x*y+8*y^2-60*x-240*y, -2467758150*y-497489850*x+5556330*y^2-6384690*x^2+18799560*x*y+122079660300], [7991/9009, true, -3136*x^2+784*x*y-448*y^2+21952*x+448*y, -7858358640*y+716138018640*x-2005324560*y^2-10232556120*x^2+4189248180*x*y+9863683200], [888/1001, true, 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108160+2600*x^2+1300*x*y-520*y^2-39000*x-1560*y, 35845642800*y-217387962000*x-474152400*y^2+1444284000*x^2+405189000*x*y+5337664063200], [8059/9009, true, 146240+1600*x^2+640*x*y+1600*y^2-24960*x-24960*y, -257916264320*y-134874945920*x+1575435200*y^2+715006400*x^2+456350080*x*y+12846063142080], [128/143, true, -42032-17908*x^2+22496*x*y-22348*y^2+59940*x+99900*y, 1512737948700*y+968711329080*x-29284962268*y^2-23789743888*x^2+28009561936*x*y-14010913777952], [8065/9009, true, -60608-6912*x^2+12352*x*y-12288*y^2+7360*x+61120*y, 932434606840*y+249640271320*x-15359610496*y^2-9152389264*x^2+13765864504*x*y-16073096092056], [2689/3003, true, 27148+572*x^2+2156*x*y-2068*y^2-19800*x+11880*y, 194580372360*y-133877677560*x-2291042956*y^2+197275604*x^2+1633898452*x*y-1270590864404], [8068/9009, true, 46240+816*x^2+544*x*y-204*y^2-14144*x-884*y, 10719281716*y-94898090144*x-192760564*y^2+545822456*x^2+235601104*x*y+2851795341600], [8069/9009, true, 50328+432*x^2+216*x*y+432*y^2-7560*x-7560*y, 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1390435508*y-29789818828*x-60901276*y^2+141567908*x^2+103744948*x*y+1071321991560], [2693/3003, true, 10584+72*x^2+48*x*y+72*y^2-1440*x-1440*y, -14226659040*y-10528415040*x+68628632*y^2+46215032*x^2+35187088*x*y+1003598985544], [898/1001, true, -82340-14122*x^2+6808*x*y-10258*y^2+96462*x+61686*y, 896280251328*y+1709043205716*x-15959533464*y^2-24169260276*x^2+13812395184*x*y-16678476302040], [8083/9009, true, -116200-7520*x^2+4360*x*y-5840*y^2+53400*x+36600*y, 529376152360*y+887385528040*x-8722726384*y^2-11977357072*x^2+7820431816*x*y-20895808727640], [8084/9009, true, -83776+19074*y+24684*x-3026*y^2-3536*x^2+2584*x*y, 277929960704*y+386257059584*x-4330644736*y^2-5225910016*x^2+4067405824*x*y-14308529412096], [35/39, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [622/693, true, -9460-374*x^2+616*x*y-506*y^2+858*x+2574*y, 42647162272*y+16179332884*x-658591528*y^2-473501812*x^2+720719248*x*y-1851409095240], [8087/9009, true, 2480-32*x^2+208*x*y-128*y^2-1008*x+336*y, 8692756688*y-9360991024*x-157463104*y^2-40230976*x^2+202033264*x*y+46017540720], [2696/3003, true, 2800+20*x^2+40*x*y-10*y^2-600*x-150*y, -531891360*y-5503029840*x-11725344*y^2+18402768*x^2+29897856*x*y+247810363200], [8089/9009, true, 764+4*x^2+4*x*y+4*y^2-96*x-96*y, -898273376*y-771426656*x+3596684*y^2+2875964*x^2+3014284*x*y+73145465484], [899/1001, true, -48128-7168*x^2+2048*x*y-7168*y^2+55296*x+55296*y, 887729458176*y+1443736267776*x-12068796928*y^2-17685027328*x^2+6203665408*x*y-13606557260288], [1156/1287, true, -85064-4116*x^2+1372*x*y-4116*y^2+34300*x+34300*y, 531967720900*y+810170630500*x-6620776708*y^2-9149894068*x^2+3569413036*x*y-19308192846432], [8093/9009, true, -72144-2160*x^2+864*x*y-2160*y^2+19008*x+19008*y, 285274962720*y+404039560320*x-3318845400*y^2-4300371000*x^2+1922402160*x*y-14746228941960], [2698/3003, true, 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166784593800*y+94548491400*x-1473403900*y^2-926160700*x^2+419768500*x*y-6848120245700], [8104/9009, true, -12240-100*x^2+160*x*y-400*y^2+260*x+4160*y, 72237688380*y+35553169080*x-610256700*y^2-353721600*x^2+210196080*x*y-3384846148320], [8105/9009, true, -5400+1512*y+168*x-144*y^2-48*x^2+72*x*y, 24638974976*y+10789796864*x-205514752*y^2-115585024*x^2+91042816*x*y-1271929635840], [386/429, true, -1620-18*x^2+24*x*y-36*y^2+90*x+360*y, 5554336920*y+2538860280*x-48786952*y^2-30511336*x^2+30248608*x*y-322517196080], [737/819, true, -252+32*y+32*x-4*y^2-4*x^2+4*x*y, 481406112*y+481406112*x-5470524*y^2-5470524*x^2+5470524*x*y-41756509692], [82/91, true, 373248+41472*x^2+9216*x*y+41472*y^2-414720*x-414720*y, -4903307735040*y-540360437760*x+45020678144*y^2+950503424*x^2+9015365632*x*y+44980265814016], [129/143, true, 1000188+55566*x^2+24696*x*y+55566*y^2-611226*x-611226*y, -7112563676064*y-4096206151884*x+61859119784*y^2+31390861964*x^2+19969915504*x*y+124775677843432], [904/1001, true, 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-1551696547500*y-1413561253500*x+9090630000*y^2+7834854600*x^2+10031404500*x*y+71647861653900], [918/1001, true, 23296+332*x^2+592*x*y+248*y^2-5652*x-4896*y, -97064504658*y-114505925886*x+457810434*y^2+633986406*x^2+1045278216*x*y+5070741791148], [8263/9009, true, 244224+3072*x^2+4608*x*y+3072*y^2-53760*x-53760*y, -586754389760*y-556506325760*x+3151242752*y^2+2876260352*x^2+4365776128*x*y+29134023469824], [919/1001, true, -35392-392*x^2-896*x*y-392*y^2+7560*x+7560*y, 57958331310*y+59191395120*x-267081502*y^2-279536692*x^2-636712376*x*y-2985354294512], [752/819, true, 40208+448*x^2+784*x*y+448*y^2-8400*x-8400*y, -90649892300*y-88575129500*x+447389456*y^2+428527976*x^2+753400948*x*y+4764369740076], [920/1001, true, -82944-1152*x^2-2048*x*y-1152*y^2+19584*x+19584*y, 182985700194*y+179307874944*x-994205362*y^2-957055612*x^2-1708270088*x*y-8555860282784], [921/1001, true, 327222*y+26712*x-46746*y^2-13356*x^2+20776*x*y, 4644426470112*y+2140757313552*x-58176626656*y^2-32887039216*x^2+22526455936*x*y-29660330584640], [922/1001, true, 141680+10384*x^2+13024*x*y-19184*y^2-152064*x+114048*y, 1870030128384*y-555631778592*x-22894860712*y^2+1606774712*x^2+8011334992*x*y-7133515858520], [8299/9009, true, -157500-2800*x^2+4900*x*y-19600*y^2+3500*x+171500*y, 2367139040640*y+1740255960960*x-24234564096*y^2-18535627008*x^2+5430236544*x*y-52731695502720], [71/77, true, 363580+17150*x^2+13720*x*y-4900*y^2-216090*x-17640*y, 153180114120*y-1831291438680*x-5550373800*y^2+14494793400*x^2+8006199840*x*y+28906750953360], [8308/9009, true, 235200+12348*x^2+4116*x*y-1764*y^2-144060*x-2940*y, 168323225620*y-539070835820*x-1831232668*y^2+4599622436*x^2+602043052*x*y+6627983107560], [12/13, true, 452088+14664*x^2+13936*x*y+936*y^2-194688*x-71136*y, -620579263392*y-1990025791776*x+1130478152*y^2+14963271368*x^2+10275998512*x*y+48364531248856], [8317/9009, true, 495244+15368*x^2+7412*x*y+5168*y^2-190740*x-88740*y, 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-821805527840*y-1105280892320*x+4502996096*y^2+7080044864*x^2+5935926496*x*y+45838477059744], [8336/9009, true, 681408+9408*x^2+8064*x*y+9408*y^2-147840*x-147840*y, -1671565012480*y-1366987916800*x+10255006976*y^2+7737840896*x^2+7119159808*x*y+79275481395456], [927/1001, true, -18900-246*x^2-536*x*y-144*y^2+4626*x+3708*y, -73190654856*y-98571695112*x+247004168*y^2+503378312*x^2+984590752*x*y+4188843047440], [1192/1287, true, 173200+2540*x^2+3380*x*y+1580*y^2-42300*x-32700*y, -388103058860*y-499958042540*x+1854620564*y^2+2871484052*x^2+3347178124*x*y+22522404854040], [8345/9009, true, 447552+5292*x^2+6048*x*y+5292*y^2-91476*x-91476*y, -1016877233196*y-905972057496*x+5625713412*y^2+4709141712*x^2+5556461328*x*y+52836024139272], [928/1001, true, -143080-1400*x^2-3920*x*y-1400*y^2+30240*x+30240*y, 213943482720*y+224818672320*x-840332200*y^2-950182600*x^2-2641426160*x*y-11243541605240], [8353/9009, true, 21180+248*x^2+436*x*y+176*y^2-4660*x-3940*y, 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137335633600*y+134192344000*x-677800192*y^2-649224832*x^2-1141411136*x*y-7218075172032], [133/143, true, -21870*x^2+29160*x*y-43740*y^2+65610*x+262440*y, 3842106470334*y+1756208103606*x-56245736934*y^2-35176056462*x^2+34873161336*x*y-21027792292380], [932/1001, true, 73872-648*x^2+17568*x*y-22248*y^2-73224*x+121176*y, 1959769556316*y-249742712934*x-28029921088*y^2-5711615338*x^2+16468538008*x*y-8669063796068], [8389/9009, true, -172800-7680*x^2+11520*x*y-23040*y^2+19200*x+172800*y, 2472697131520*y+1082833185280*x-28874822656*y^2-16239695872*x^2+12791515648*x*y-46029202752000], [933/1001, true, 218700+6318*x^2+14472*x*y-9558*y^2-121986*x+20898*y, 608971287276*y-1159753808862*x-12315267976*y^2+5550642086*x^2+12328085704*x*y+16284970981840], [646/693, true, 78528+4352*x^2+6976*x*y-9088*y^2-78400*x+56000*y, 942769030500*y-388987998300*x-10962143208*y^2+1144738872*x^2+4783031316*x*y-6902638189452], [8399/9009, true, -147852-1554*x^2+2664*x*y-9324*y^2+2442*x+87912*y, 1219297412762*y+791709425342*x-11500471534*y^2-7966686514*x^2+2847266824*x*y-40439605323012], [934/1001, true, 262440+5832*x^2+11664*x*y-2916*y^2-104976*x-26244*y, -117743233608*y-1218189609252*x-4326008472*y^2+6789611484*x^2+11030668128*x*y+29311713385560], [1201/1287, true, 241920+6912*x^2+6912*x*y-2304*y^2-103680*x-11520*y, 44996765440*y-964047223040*x-2759210752*y^2+6413916416*x^2+4700298496*x*y+21277099825920], [8408/9009, true, 159840+5400*x^2+2160*x*y-900*y^2-71280*x-1980*y, 80229420260*y-357896406340*x-919923700*y^2+2700950900*x^2+513741280*x*y+6701395507920], [85/91, true, 173016+2754*x^2+6552*x*y-216*y^2-54270*x-27540*y, -306271937070*y-781519486770*x-826565098*y^2+3973915202*x^2+7840442056*x*y+24888197020108], [8416/9009, true, 248544+4992*x^2+6048*x*y+192*y^2-80160*x-32160*y, -293138259260*y-889209735260*x+112190792*y^2+5531022392*x^2+5105404948*x*y+28552410524484], [8417/9009, true, 290076+6026*x^2+3496*x*y+1886*y^2-85514*x-39974*y, -402777871056*y-754617991446*x+2331940644*y^2+5239710234*x^2+1993604184*x*y+29556167192244], [2806/3003, true, 310500+4500*x^2+1500*x*y+4500*y^2-63000*x-63000*y, -739220559000*y-309283359000*x+4988133500*y^2+1731033500*x^2+1224044500*x*y+29288431616500], [8425/9009, true, 139008+2048*x^2+3328*x*y+512*y^2-37120*x-21760*y, -259040263680*y-497008258560*x+546241536*y^2+2709586944*x^2+3617339904*x*y+19409372527104], [766/819, true, 249408+3936*x^2+3456*x*y+1824*y^2-62304*x-39072*y, -424630722736*y-641229897682*x+2150006252*y^2+3940082078*x^2+2718677128*x*y+28935634177224], [2809/3003, true, 387072+4608*x^2+3072*x*y+4608*y^2-73728*x-73728*y, -844229050368*y-624770285568*x+5090643968*y^2+3428077568*x^2+2610061312*x*y+43270422003712], [937/1001, true, -183708-1458*x^2-5832*x*y-1458*y^2+39366*x+39366*y, 227940267456*y+249732300906*x-626657148*y^2-846778698*x^2-3351539592*x*y-12074062435848], [1205/1287, true, 124740+1566*x^2+1944*x*y+864*y^2-27918*x-20196*y, -234565760242*y-323634695626*x+1013994518*y^2+1750101422*x^2+1849130968*x*y+15900739486860], [2812/3003, true, 288684+2916*x^2+2916*x*y+2916*y^2-52488*x-52488*y, -588277753272*y-505206045432*x+3140616564*y^2+2511285444*x^2+2632066164*x*y+33559656953796], [134/143, true, -340200-2592*x^2-9648*x*y-4428*y^2+66744*x+83268*y, 681506438976*y+554414263128*x-3022398976*y^2-1738639624*x^2-7723008896*x*y-31026232795760], [8443/9009, true, -99072-768*x^2-2304*x*y-768*y^2+19200*x+19200*y, 131572883200*y+139490348800*x-437732608*y^2-509709568*x^2-1516769024*x*y-7613862911232], [8444/9009, true, 17808+176*x^2+304*x*y+116*y^2-3608*x-2948*y, -50150161908*y-63376219368*x+185235876*y^2+294542136*x^2+458456544*x*y+3370912575408], [2815/3003, true, 131328+1152*x^2+1536*x*y+1152*y^2-23040*x-23040*y, -253537658880*y-234452106240*x+1202100224*y^2+1057512704*x^2+1437279232*x*y+15447158838016], [939/1001, true, -524880-6318*x^2-13176*x*y-9396*y^2+116154*x+143856*y, 1307158928262*y+987494444838*x-7637437102*y^2-4408502926*x^2-11132376872*x*y-53009601795980], [8452/9009, true, -169440-1408*x^2-3488*x*y-1984*y^2+31520*x+37280*y, 329115803940*y+272614571460*x-1542502872*y^2-1028855304*x^2-2898917964*x*y-16488835939260], [8453/9009, true, -20340-150*x^2-360*x*y-150*y^2+3630*x+3630*y, 27341481860*y+28125507410*x-99437800*y^2-105917350*x^2-253049720*x*y-1700703445980], [2818/3003, true, 23220+180*x^2+300*x*y+180*y^2-3960*x-3960*y, -42890991000*y-41531919000*x+181395500*y^2+171099500*x^2+287072500*x*y+2736037232500], [940/1001, true, -944784-17496*x^2-23328*x*y-17496*y^2+262440*x+262440*y, 2438370849420*y+2254817623410*x-15414757488*y^2-13560684498*x^2-18430502184*x*y-97214864320692], [8461/9009, true, -366336+80640*y+80640*x-4608*y^2-4608*x^2-6912*x*y, 751694563840*y+712943587840*x-4037075968*y^2-3684794368*x^2-5593021952*x*y-37323772002816], [8462/9009, true, -54864-504*x^2-864*x*y-504*y^2+10296*x+10296*y, 96173639144*y+93617679914*x-436680796*y^2-415557166*x^2-716285336*x*y-5600903825496], [941/1001, true, -29520*x^2+32800*x*y-36900*y^2+118080*x+184500*y, 2761544695140*y+1968386777280*x-49362832660*y^2-41351136520*x^2+42936883600*x*y-12573652659200], [942/1001, true, 17920-8704*x^2+19456*x*y-20992*y^2-9216*x+101376*y, 1643469886080*y+223421742720*x-27637450560*y^2-13293529920*x^2+22073489280*x*y-9534952065600], [8479/9009, true, -156060+127500*y+45900*x-20400*y^2-12240*x^2+15300*x*y, 1884902562400*y+973670130400*x-26610298240*y^2-18326367040*x^2+18949640800*x*y-35174222452320], [943/1001, true, 123740-506*x^2+14536*x*y-10166*y^2-60858*x+26082*y, 624905250552*y-610804063188*x-13973744416*y^2-1491832156*x^2+15323140336*x*y+8505317450200], [8488/9009, true, 5720-1196*x^2+8788*x*y-9932*y^2-31980*x+55380*y, 919608675700*y-136626046700*x-12748349380*y^2-3146215540*x^2+8776541020*x*y-10142451118800], [653/693, true, -151380-4060*x^2+5800*x*y-10150*y^2+12760*x+79750*y, 1152865232640*y+496420911360*x-12853175040*y^2-7428015360*x^2+6650726400*x*y-33034028774400], [1214/1287, true, 39688+1496*x^2+3344*x*y-3784*y^2-34848*x+23232*y, 406846860992*y-219784996288*x-4646058664*y^2+532717016*x^2+2567375824*x*y-3328483535832], [2833/3003, true, -91260+39000*y+1560*x-3900*y^2-780*x^2+1300*x*y, 544579808520*y+308716759560*x-4810912060*y^2-3024070780*x^2+1370614900*x*y-22360266779780], [135/143, true, 82000+500*x^2+4000*x*y-400*y^2-22500*x-14400*y, -198090095940*y-427598206200*x-1341414540*y^2+976849200*x^2+6684649200*x*y+15228025531200], [8506/9009, true, 122400+1500*x^2+4500*x*y-900*y^2-37500*x-13500*y, -99133875500*y-491105763500*x-1580856700*y^2+1982524100*x^2+4964147500*x*y+15537073854600], [8507/9009, true, 121800+2250*x^2+3000*x*y-900*y^2-41250*x-6600*y, -2834294320*y-423600720400*x-1168109680*y^2+2309298800*x^2+2383067200*x*y+11943306872160], [2836/3003, true, 83200+2000*x^2+1000*x*y-400*y^2-30000*x-1200*y, 31344096960*y-190088078400*x-414607680*y^2+1262908800*x^2+354304800*x*y+4667352762240], [86/91, true, -78400-320*x^2-3200*x*y-320*y^2+17280*x+17280*y, 1571137920*y+1847134080*x-345280*y^2-3133120*x^2-31049600*x*y-84608561600], [655/693, true, 30644+256*x^2+964*x*y+16*y^2-7380*x-4980*y, -106345057280*y-194836167680*x-131805184*y^2+672659456*x^2+2197156864*x*y+8129440349184], [8516/9009, true, 92640+1184*x^2+1984*x*y+32*y^2-23936*x-11264*y, -114747494400*y-301468305600*x-53713800*y^2+1489433400*x^2+2004080400*x*y+11972534805000], [2839/3003, true, 125300+1876*x^2+1372*x*y+532*y^2-30744*x-14616*y, -146827305240*y-296138756760*x+653592380*y^2+1784739740*x^2+917471380*x*y+13469883021700], [8518/9009, true, 146240+1600*x^2+640*x*y+1600*y^2-24960*x-24960*y, -291418789376*y-152394784256*x+1780079360*y^2+807883520*x^2+515628544*x*y+14514727014144], [8524/9009, true, -96120-540*x^2-2700*x*y-540*y^2+18900*x+18900*y, 90395781300*y+101192562900*x-166809780*y^2-264962340*x^2-1309940100*x*y-5311949129280], [775/819, true, 11740+104*x^2+248*x*y+38*y^2-2508*x-1782*y, -50712048640*y-81010293760*x+78402560*y^2+328801280*x^2+681410560*x*y+3930114662400], [406/429, true, 76608+864*x^2+976*x*y+384*y^2-16224*x-10464*y, -117156408864*y-182751496224*x+451482944*y^2+948415424*x^2+872131216*x*y+9461203478848], [8527/9009, true, 149580+1350*x^2+1080*x*y+1350*y^2-24570*x-24570*y, -278826531984*y-222476858604*x+1478032920*y^2+1083979260*x^2+943605936*x*y+16953134712696], [948/1001, true, -483560-3256*x^2-13904*x*y-8536*y^2+91872*x+139392*y, 1184029684992*y+744629542272*x-6069380976*y^2-1630995696*x^2-11781029664*x*y-45777242566800], [8534/9009, true, -59160-360*x^2-1200*x*y-360*y^2+10560*x+10560*y, 68540595200*y+73598608160*x-187612600*y^2-229414360*x^2-757677200*x*y-4350717753480], [2845/3003, true, 13540+116*x^2+196*x*y+68*y^2-2568*x-1992*y, -30950381880*y-41620142520*x+99750420*y^2+180581940*x^2+269444340*x*y+2360585551500], [776/819, true, 78120+600*x^2+720*x*y+600*y^2-12480*x-12480*y, -138297995264*y-124743517184*x+634369280*y^2+539582720*x^2+665499136*x*y+9116646556416], [73/77, true, -763840-10664*x^2-18848*x*y-16988*y^2+180792*x+237708*y, 2169769082580*y+1453146639120*x-13954651780*y^2-6716041240*x^2-15924415280*x*y-77399280200000], [8542/9009, true, -381040-3476*x^2-7436*x*y-5588*y^2+71940*x+93060*y, 843311434900*y+601676670100*x-4507117420*y^2-2310437740*x^2-6318700340*x*y-37727153524200], [8543/9009, true, -115752-754*x^2-1976*x*y-1144*y^2+19162*x+23452*y, 206328090672*y+164538194832*x-880401744*y^2-535030704*x^2-1649578176*x*y-11171465017632], [2848/3003, true, -13120-80*x^2-200*x*y-80*y^2+2160*x+2160*y, 16018495680*y+16574669760*x-51759040*y^2-55972480*x^2-139186400*x*y-1085072051840], [8545/9009, true, 14960+100*x^2+160*x*y+100*y^2-2340*x-2340*y, -25420882916*y-24423380696*x+101500340*y^2+94524800*x^2+152536144*x*y+1758679167504], [950/1001, true, -1296000-28800*x^2-32000*x*y-28800*y^2+403200*x+403200*y, 3715302476160*y+3285777179520*x-25408776640*y^2-21070137280*x^2-24239062400*x*y-132085549073600], [8551/9009, true, -747900-10800*x^2-13500*x*y-10800*y^2+175500*x+175500*y, 1626606036000*y+1481802141600*x-9529488000*y^2-8213088960*x^2-10515679200*x*y-75106723940640], [8552/9009, true, -270800-2800*x^2-4000*x*y-2800*y^2+52800*x+52800*y, 491601762080*y+461527763840*x-2459942680*y^2-2211397240*x^2-3205763600*x*y-27260120613960], [2851/3003, true, -38700-300*x^2-500*x*y-300*y^2+6600*x+6600*y, 61631054760*y+59678172840*x-260651380*y^2-245856820*x^2-412501100*x*y-3931475038700], [951/1001, true, 118080*y+184500*x-29520*y^2-36900*x^2+32800*x*y, 1774226089350*y+2633734273500*x-41419105150*y^2-50101006000*x^2+46995259000*x*y-6434198675000], [136/143, true, -36352-15488*x^2+19456*x*y-19328*y^2+51840*x+86400*y, 1353640944150*y+866830450860*x-26205017206*y^2-21287739496*x^2+25063752712*x*y-12537364168784], [779/819, true, -147456-16384*x^2+16384*x*y-16384*y^2+81920*x+81920*y, 1232399646720*y+1232399646720*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-27986675613696], [953/1001, true, 50968-5704*x^2+14536*x*y-10534*y^2-14076*x+29394*y, 613560077856*y-87162595344*x-14890805856*y^2-7812799056*x^2+17386458624*x*y+1261467421632], [8578/9009, true, -45456-5184*x^2+9264*x*y-9216*y^2+5520*x+45840*y, 750001748980*y+200797609540*x-12354469312*y^2-7361704408*x^2+11072543188*x*y-12928359900132], [8579/9009, true, -135000-6300*x^2+7200*x*y-8400*y^2+29700*x+52800*y, 788466492242*y+516362411708*x-11170516846*y^2-8921722792*x^2+9308529688*x*y-25315197618180], [954/1001, true, 102816-1932*x^2+10192*x*y-4032*y^2-28476*x-9576*y, 27063159354*y-381358053846*x-6773951002*y^2-2648484202*x^2+13001171512*x*y+12264367394356], [8587/9009, true, 54784-1024*x^2+6656*x*y-4096*y^2-23040*x+7680*y, 232449859840*y-250318872320*x-5894929408*y^2-1506122752*x^2+7563497728*x*y+3529853782272], [409/429, true, -86400-1920*x^2+2560*x*y-3840*y^2+7680*x+30720*y, 449739028992*y+205573513728*x-4937897344*y^2-3088158592*x^2+3061566976*x*y-17039457132800], [955/1001, true, 62000-500*x^2+4000*x*y-500*y^2-13500*x-13500*y, -192723324750*y-270334993500*x-1731129250*y^2-947173000*x^2+7355659000*x*y+11950562467000], [1228/1287, true, 70224-64*x^2+3856*x*y-1024*y^2-18640*x-9040*y, -63666577260*y-274203818460*x-1982762496*y^2-68787576*x^2+5123099124*x*y+9608402731356], [8597/9009, true, 54692+352*x^2+2728*x*y-1298*y^2-18876*x-726*y, 54760384844*y-220174544656*x-1899994108*y^2+372195392*x^2+2894857888*x*y+5290219401432], [2866/3003, true, 17276+364*x^2+1372*x*y-1316*y^2-12600*x+7560*y, 141275453880*y-97202145480*x-1663416148*y^2+143232332*x^2+1186295116*x*y-922514942732], [8599/9009, true, -41616+14144*y+884*x-1360*y^2-340*x^2+544*x*y, 199438835310*y+98157662460*x-1684839150*y^2-976579200*x^2+580323960*x*y-9345118713840], [956/1001, true, -65600+320*x^2-3200*x*y-400*y^2+11520*x+18000*y, -6404641650*y-4748317200*x+1337850*y^2-15392700*x^2+126711000*x*y+276152571000], [662/693, true, 36000+192*x^2+1152*x*y-144*y^2-8448*x-4752*y, -55340923726*y-141445193824*x-382859662*y^2+328745876*x^2+1680445336*x*y+5891936284260], [2869/3003, true, 44800+512*x^2+1024*x*y-256*y^2-12288*x-3072*y, -13782472704*y-142595582976*x-379786752*y^2+596070144*x^2+968398848*x*y+5014054275840], [8608/9009, true, 32640+576*x^2+384*x*y-144*y^2-9984*x-624*y, 8711806246*y-77125855664*x-156660934*y^2+443602436*x^2+191478424*x*y+2317719519600], [87/91, true, -249912+312*x^2-9464*x*y-3978*y^2+39780*x+78390*y, 536777249580*y+272652648840*x-1955844436*y^2+712080824*x^2-6932295968*x*y-19374714351824], [8614/9009, true, -122576-64*x^2-3856*x*y-1024*y^2+19920*x+29520*y, 173048614420*y+126871806820*x-377184064*y^2+42605096*x^2-2391970316*x*y-8219923740996], [8615/9009, true, -32832-108*x^2-864*x*y-108*y^2+5940*x+5940*y, 11441589390*y+13275454500*x-6970698*y^2-22126608*x^2-175175784*x*y-748409266332], [2872/3003, true, 14724+108*x^2+292*x*y+12*y^2-3048*x-1896*y, -29549660712*y-57644397096*x-9811516*y^2+203027396*x^2+467345164*x*y+2843169116788], [8618/9009, true, 50328+432*x^2+216*x*y+432*y^2-7560*x-7560*y, -87609018420*y-55155163140*x+480655944*y^2+269916624*x^2+176467572*x*y+5263703474796], [958/1001, true, -475552-2684*x^2-13904*x*y-11264*y^2+86724*x+163944*y, 1382912393346*y+629596930446*x-7911152266*y^2-301905166*x^2-12115319576*x*y-44605231473668], [8623/9009, true, -278016-1024*x^2-6656*x*y-4096*y^2+43520*x+74240*y, 612533940480*y+338353424640*x-2759242752*y^2-266692608*x^2-5618495232*x*y-25262177778432], [112/117, true, -117400-380*x^2-2480*x*y-1040*y^2+17820*x+25080*y, 193664558582*y+141120160478*x-631036786*y^2-196785562*x^2-1938993512*x*y-10119417002340], [2875/3003, true, -27904-128*x^2-512*x*y-128*y^2+4608*x+4608*y, 26681622528*y+29232496128*x-55015168*y^2-74339968*x^2-294236672*x*y-1854985545344], [8626/9009, true, 8880+68*x^2+112*x*y+32*y^2-1612*x-1144*y, -15943945446*y-23903829378*x+42306678*y^2+97970202*x^2+138378888*x*y+1408711532940], [8627/9009, true, 36608+256*x^2+256*x*y+256*y^2-5376*x-5376*y, -60253414144*y-51744926464*x+275719424*y^2+220469504*x^2+231073024*x*y+4213402513152], [137/143, true, -780704-12772*x^2-18848*x*y-22072*y^2+199764*x+283464*y, 2556265166334*y+1445456045484*x-17891331462*y^2-6671037312*x^2-15859057608*x*y-77805745769304], [664/693, true, -508656-5184*x^2-9264*x*y-9216*y^2+98160*x+138480*y, 1253969153140*y+755031384580*x-7451045248*y^2-2915247352*x^2-7897348652*x*y-49568377778628], [8633/9009, true, -235620-1632*x^2-3672*x*y-2958*y^2+38148*x+52734*y, 475134871112*y+310534490024*x-2352929224*y^2-992595496*x^2-3147610496*x*y-22841836982880], [2878/3003, true, -67700-340*x^2-980*x*y-580*y^2+9960*x+12840*y, 112248814392*y+84507436728*x-438933924*y^2-228771972*x^2-822871764*x*y-6463373536620], [785/819, true, -7152-36*x^2-96*x*y-36*y^2+1092*x+1092*y, 7889912602*y+8237183812*x-22349506*y^2-24777976*x^2-65649416*x*y-579614139312], [8636/9009, true, 8136+48*x^2+72*x*y+48*y^2-1176*x-1176*y, -12835252276*y-12173575876*x+49238168*y^2+44941568*x^2+68215252*x*y+953833453356], [960/1001, true, -1296000-36000*x^2-32000*x*y-36000*y^2+468000*x+468000*y, 4240990239750*y+3510999508500*x-31433365750*y^2-24059722000*x^2-22809839000*x*y-129355692632000], [8641/9009, true, -966656-16384*x^2-16384*x*y-16384*y^2+245760*x+245760*y, 2249039626240*y+1931448893440*x-14408237056*y^2-11521048576*x^2-12075155456*x*y-94367199903744], [8642/9009, true, -511488-6048*x^2-6912*x*y-6048*y^2+104544*x+104544*y, 964832335434*y+859603408884*x-5337783198*y^2-4468122648*x^2-5272075512*x*y-50131818179388], [2881/3003, true, -175104-1536*x^2-2048*x*y-1536*y^2+30720*x+30720*y, 285424296960*y+263938414080*x-1353284608*y^2-1190512768*x^2-1618041344*x*y-17389899673472], [8644/9009, true, -23936-160*x^2-256*x*y-160*y^2+3744*x+3744*y, 34941988510*y+33570883060*x-139516150*y^2-129928000*x^2-209666840*x*y-2417372656440], [961/1001, true, -43740*x^2+29160*x*y-21870*y^2+262440*x+65610*y, 944345410272*y+3696145963488*x-33102268704*y^2-60898233888*x^2+47126852352*x*y-2535115812480], [74/77, true, -97200-22032*x^2+17568*x*y-18576*y^2+119232*x+88128*y, 1253652722784*y+1743699900096*x-25505937688*y^2-30455909176*x^2+25685557744*x*y-18693379544840], [1237/1287, true, -156060-20400*x^2+15300*x*y-12240*y^2+127500*x+45900*y, 678118936000*y+1784267320000*x-17905849600*y^2-27961744000*x^2+23482264000*x*y-25843956734400], [963/1001, true, -26244-11178*x^2+14472*x*y-12312*y^2+35478*x+45684*y, 763844333472*y+556283417184*x-17193930016*y^2-15097355104*x^2+18956661376*x*y-8360913614912], [788/819, true, -105456+43940*y+43940*x-8788*y^2-8788*x^2+8788*x*y, 661030767540*y+661030767540*x-12018741228*y^2-12018741228*x^2+12018741228*x*y-19013648622696], [8669/9009, true, -135000-8400*x^2+7200*x*y-6300*y^2+52800*x+29700*y, 445383116684*y+747445393376*x-8913509716*y^2-11409892168*x^2+10465315024*x*y-22240968452760], [8677/9009, true, -4212-3672*x^2+6804*x*y-4752*y^2+2700*x+13500*y, 281692444000*y+70204367200*x-6855395584*y^2-4932776704*x^2+8589110368*x*y-3763647551904], [8678/9009, true, -49896-2808*x^2+3888*x*y-3672*y^2+9504*x+19008*y, 307160602496*y+166962359168*x-5004984784*y^2-3846321616*x^2+4932934816*x*y-9901409583792], [263/273, true, -78732+17496*y+17496*x-2916*y^2-2916*x^2+2916*x*y, 263208791736*y+263208791736*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-13387756270572], [965/1001, true, 66096-2592*x^2+6552*x*y-1242*y^2-6156*x-18306*y, -206772546816*y-107549361216*x-3204251392*y^2-4206505792*x^2+10585725952*x*y+10411252504576], [8686/9009, true, 45000-1500*x^2+4500*x*y-1500*y^2-7500*x-7500*y, -37909107500*y-109238607500*x-2785256500*y^2-2136806500*x^2+6259769500*x*y+5554284720000], [1241/1287, true, 18876-814*x^2+2728*x*y-1474*y^2-6050*x+1210*y, 68249720880*y-69837940260*x-2242653912*y^2-1101433572*x^2+3357213264*x*y+1046464057728], [2896/3003, true, -9504-576*x^2+1464*x*y-1296*y^2-1872*x+6768*y, 120429159312*y-1922485488*x-1756303024*y^2-829396624*x^2+1687921816*x*y-3055962753536], [8689/9009, true, -36504-780*x^2+936*x*y-1170*y^2+4056*x+9126*y, 135603445120*y+77466566320*x-1539774400*y^2-1133222800*x^2+1182997120*x*y-6633047892480], [8695/9009, true, 17556-256*x^2+964*x*y-16*y^2-2260*x-4660*y, -111442335840*y-68255209440*x-380502144*y^2-773112384*x^2+2787228576*x*y+5136570910944], [8696/9009, true, 23616-192*x^2+1152*x*y-192*y^2-4224*x-4224*y, -50901203584*y-75587526784*x-529759552*y^2-325740352*x^2+1900861312*x*y+3943863408576], [223/231, true, 18900-36*x^2+876*x*y-324*y^2-4824*x-1368*y, 712348824*y-64162696488*x-541373908*y^2-49896292*x^2+1071954652*x*y+2171468149180], [8698/9009, true, 5856+32*x^2+448*x*y-352*y^2-3328*x+1664*y, 35284350816*y-30706502112*x-466934328*y^2-5459832*x^2+440381232*x*y-70522140456], [8699/9009, true, -13500-120*x^2+180*x*y-360*y^2+420*x+3780*y, 54090249752*y+23686975928*x-451169104*y^2-253745248*x^2+199867432*x*y-2792283028680], [967/1001, true, -131220+1458*x^2-5832*x*y-2916*y^2+13122*x+52488*y, 265697825184*y+53563584096*x-997062048*y^2+1145708064*x^2-3373508736*x*y-7519252420800], [8704/9009, true, -73440+540*x^2-2700*x*y-900*y^2+8100*x+22500*y, 95738912500*y+34477712500*x-226997500*y^2+329922500*x^2-1286712500*x*y-3527782875000], [8705/9009, true, -27000+108*x^2-864*x*y-144*y^2+3564*x+6336*y, 9400651172*y+5978930408*x-6477628*y^2+21801056*x^2-142427408*x*y-464702223960], [8707/9009, true, 9828+54*x^2+216*x*y-36*y^2-2106*x-936*y, -8516781416*y-30285820136*x-73445656*y^2+78785384*x^2+266007136*x*y+1377968271408], [1244/1287, true, 8640+108*x^2+108*x*y-36*y^2-2268*x-252*y, 984304244*y-21088533004*x-43112668*y^2+100217444*x^2+73442164*x*y+758400355080], [88/91, true, -312984-648*x^2-9648*x*y-10152*y^2+49248*x+134784*y, 1053035419392*y+251095958784*x-6436205896*y^2+1664192696*x^2-8401031024*x*y-27068225215352], [8713/9009, true, -217476-168*x^2-5292*x*y-4368*y^2+28140*x+70140*y, 549313853440*y+173208893440*x-2738126848*y^2+681009152*x^2-4511270912*x*y-18400316368896], [8714/9009, true, -115800-40*x^2-2480*x*y-1480*y^2+14080*x+29920*y, 229106712384*y+98935632576*x-881816976*y^2+193977072*x^2-2023253856*x*y-9663617945520], [415/429, true, -44172-36*x^2-876*x*y-324*y^2+5688*x+9144*y, 63989096952*y+41328975864*x-164012332*y^2+7655252*x^2-641507108*x*y-3462976904156], [8716/9009, true, -8136-24*x^2-144*x*y-24*y^2+1248*x+1248*y, 4754752288*y+5404841728*x-4983304*y^2-9529384*x^2-56533424*x*y-363617371416], [8717/9009, true, 4476+32*x^2+52*x*y+8*y^2-812*x-476*y, -5666505768*y-10872055656*x+8535024*y^2+42337296*x^2+56520936*x*y+631336326408], [2906/3003, true, 10584+72*x^2+48*x*y+72*y^2-1440*x-1440*y, -16488848640*y-12202544640*x+79541312*y^2+53563712*x^2+40782208*x*y+1163181863104], [969/1001, true, -559872-10692*x^2-13176*x*y-21222*y^2+155520*x+250290*y, 2162944254240*y+892683902880*x-16278580192*y^2-3447667552*x^2-11138683136*x*y-53018681485952], [1246/1287, true, -446952-4972*x^2-7436*x*y-10252*y^2+86900*x+139700*y, 1227461706900*y+554192882100*x-7971506244*y^2-1850880564*x^2-6374473092*x*y-41139392256144], [61/63, true, -264996-1938*x^2-3672*x*y-4182*y^2+41514*x+66198*y, 588064449896*y+292355503748*x-3268398784*y^2-824523196*x^2-3183275984*x*y-24562203577632], [2908/3003, true, -114912-576*x^2-1464*x*y-1296*y^2+15696*x+24336*y, 216185532816*y+121159218576*x-1001544016*y^2-281647696*x^2-1272450344*x*y-10798540672832], [8725/9009, true, -31080-112*x^2-392*x*y-238*y^2+4004*x+5642*y, 48635194608*y+33188291136*x-174403152*y^2-66382848*x^2-331406208*x*y-2911624954560], [8726/9009, true, -2952-12*x^2-36*x*y-12*y^2+420*x+420*y, 2878156820*y+3051351380*x-6839572*y^2-7964212*x^2-23699516*x*y-228909597072], [2909/3003, true, 3348+18*x^2+24*x*y+18*y^2-450*x-450*y, -4951907400*y-4579142700*x+18782816*y^2+16523636*x^2+22457488*x*y+390591350176], [970/1001, true, -944784-34992*x^2-23328*x*y-34992*y^2+419904*x+419904*y, 3672076646304*y+2717514131904*x-29523164472*y^2-19881118872*x^2-15137037648*x*y-90202730301864], [8731/9009, true, -877500-18000*x^2-13500*x*y-18000*y^2+247500*x+247500*y, 2201077120000*y+1713205120000*x-15448576000*y^2-11013376000*x^2-9122432000*x*y-80865079680000], [8732/9009, true, -584064-8064*x^2-6912*x*y-8064*y^2+126720*x+126720*y, 1144278143360*y+935778377600*x-7020116032*y^2-5296977472*x^2-4873456256*x*y-54268425091392], [2911/3003, true, -288684+52488*y+52488*x-2916*y^2-2916*x^2-2916*x*y, 480336881112*y+412507688472*x-2564356644*y^2-2050499124*x^2-2149118244*x*y-27401921732916], [794/819, true, -93744-720*x^2-864*x*y-720*y^2+14976*x+14976*y, 138552219520*y+124972825120*x-635535400*y^2-540574600*x^2-666722480*x*y-9133405097880], [8735/9009, true, -12204-72*x^2-108*x*y-72*y^2+1764*x+1764*y, 16443318584*y+15595640984*x-63079312*y^2-57574912*x^2-87390968*x*y-1221961751304], [971/1001, true, 26712*y+327222*x-13356*y^2-46746*x^2+20776*x*y, 286410545982*y+5009990075442*x-23760856606*y^2-71473781146*x^2+41735641576*x*y-477777665540], [972/1001, true, -157520-27016*x^2+13024*x*y-19624*y^2+184536*x+118008*y, 1489659820704*y+2840509976238*x-26525493252*y^2-40170444318*x^2+22956848712*x*y-27720409973220], [673/693, true, -172800-23040*x^2+11520*x*y-7680*y^2+172800*x+19200*y, 236276170240*y+2563592373760*x-12933170176*y^2-34090590208*x^2+21570409984*x*y-28045007777280], [139/143, true, -116620-17150*x^2+13720*x*y-17150*y^2+92610*x+92610*y, 1287242635140*y+1415493130590*x-22761205600*y^2-24056665150*x^2+19517509480*x*y-21951337378880], [8758/9009, true, -185920-12032*x^2+6976*x*y-9344*y^2+85440*x+58560*y, 766390264420*y+1284688829380*x-12628095448*y^2-17339900584*x^2+11321822452*x*y-30251352095580], [8759/9009, true, -151380+12760*y+79750*x-4060*y^2-10150*x^2+5800*x*y, 172624196250*y+1149097826250*x-6477333750*y^2-14547363750*x^2+10101375000*x*y-23984790592500], [974/1001, true, -25272-11856*x^2+13936*x*y-10764*y^2+43992*x+34164*y, 595356122988*y+645488947224*x-15553831828*y^2-16060223992*x^2+19080267232*x*y-7183779776504], [797/819, true, -89856+34560*y+34560*x-6912*y^2-6912*x^2+6912*x*y, 519918600960*y+519918600960*x-9453065472*y^2-9453065472*x^2+9453065472*x*y-16004039844096], [8768/9009, true, -108416-4576*x^2+3344*x*y-3916*y^2+31944*x+24684*y, 340720489736*y+473521077656*x-5309033224*y^2-6406558744*x^2+4986322816*x*y-17541142870464], [2923/3003, true, -86400-3840*x^2+2560*x*y-1920*y^2+30720*x+7680*y, 110540660736*y+432653574144*x-2906097664*y^2-5346347008*x^2+4137336832*x*y-13542973583360], [75/77, true, 37672-7786*x^2+10744*x*y-4216*y^2+21726*x-10404*y, -32719824126*y+313328573514*x-7759729314*y^2-11255167674*x^2+16180465176*x*y+4277166689268], [8776/9009, true, -3744+2400*y+12000*x-3264*y^2-4224*x^2+6048*x*y, 108631365700*y+172818688900*x-5214648712*y^2-5798169832*x^2+8454181684*x*y-2375853716652], [8777/9009, true, -28500-2250*x^2+3000*x*y-2250*y^2+8250*x+8250*y, 150614387000*y+124934405750*x-3241178500*y^2-3028947250*x^2+3992863000*x*y-5676814468500], [38/39, true, -39788+8232*y+8232*x-1372*y^2-1372*x^2+1372*x*y, 123841722312*y+123841722312*x-1876389732*y^2-1876389732*x^2+1876389732*x*y-6715598850828], [8779/9009, true, -36504-1170*x^2+936*x*y-780*y^2+9126*x+4056*y, 60455425030*y+128018420530*x-1122109150*y^2-1594577650*x^2+1398687880*x*y-5783219032020], [976/1001, true, 43040-3536*x^2+5056*x*y-176*y^2+9072*x-21168*y, -323120602728*y+174837547962*x-1805337436*y^2-6835217746*x^2+10138363816*x*y+7985793140500], [1255/1287, true, 27392-2048*x^2+3328*x*y-512*y^2+3840*x-11520*y, -143532055040*y+61746234880*x-1571206144*y^2-3437372416*x^2+5752086016*x*y+4109365200384], [8786/9009, true, 13728-1072*x^2+1984*x*y-592*y^2+880*x-4400*y, -35256483900*y+11574556290*x-1200131424*y^2-1587164814*x^2+2983014648*x*y+1504445763096], [676/693, true, -6880-272*x^2+448*x*y-368*y^2+624*x+1872*y, 33198173008*y+12594608026*x-512672692*y^2-368591818*x^2+561035272*x*y-1441207249860], [799/819, true, -11520-256*x^2+256*x*y-256*y^2+1792*x+1792*y, 26958742272*y+26958742272*x-350113536*y^2-350113536*x^2+350113536*x*y-1920372744960], [977/1001, true, -8100+354*x^2-536*x*y-234*y^2-774*x+4518*y, -199021310136*y+58139817318*x+510379628*y^2-2087207518*x^2+2999873272*x*y+4061574334840], [8795/9009, true, 4972-118*x^2+248*x*y+32*y^2-66*x-1716*y, -63795767266*y-1294027966*x-32602738*y^2-549146038*x^2+1119680968*x*y+2074939415052], [2932/3003, true, 6300-108*x^2+292*x*y-12*y^2-456*x-1608*y, -28241012184*y-10342186008*x-105642796*y^2-241239964*x^2+639179716*x*y+1317495713380], [8797/9009, true, 4644-54*x^2+216*x*y-54*y^2-702*x-702*y, -6212704212*y-11063317122*x-115397784*y^2-81477414*x^2+317686536*x*y+636480726264], [8798/9009, true, 1240-16*x^2+104*x*y-64*y^2-504*x+168*y, 5084840684*y-5475725332*x-92108272*y^2-23533168*x^2+118179652*x*y+26918027460], [419/429, true, -2700-30*x^2+40*x*y-60*y^2+150*x+600*y, 8783965410*y+4015107690*x-77154646*y^2-48252478*x^2+47836984*x*y-510048262340], [978/1001, true, -103880+1400*x^2-3920*x*y-4900*y^2+5040*x+61740*y, 300612476340*y-38446881660*x-1789389900*y^2+1635452100*x^2-2494199520*x*y-5567313034080], [8803/9009, true, -80640+768*x^2-2304*x*y-2304*y^2+3840*x+34560*y, 179619531520*y-8680305920*x-887588608*y^2+824228096*x^2-1490632448*x*y-4347829797120], [8804/9009, true, -48720+360*x^2-1200*x*y-900*y^2+2640*x+16500*y, 88103826800*y+4673903300*x-347108800*y^2+342394700*x^2-762044000*x*y-2709240304800], [2935/3003, true, -22400+128*x^2-512*x*y-256*y^2+1536*x+6144*y, 31101345792*y+6269902848*x-87533568*y^2+100583424*x^2-296165376*x*y-1218327920640], [1258/1287, true, -6552+24*x^2-144*x*y-36*y^2+624*x+1404*y, 4693578604*y+2234327524*x-6031876*y^2+11165684*x^2-53580704*x*y-247235972112], [2936/3003, true, 1120+8*x^2+16*x*y-4*y^2-240*x-60*y, -269188920*y-2785069980*x-5934168*y^2+9313596*x^2+15131232*x*y+125416220400], [89/91, true, -241072-4826*x^2-5624*x*y-13604*y^2+68742*x+147744*y, 1101147553638*y+150075724194*x-8667508198*y^2+939277958*x^2-4910388728*x*y-19399399744724], [8812/9009, true, -233056-2432*x^2-3488*x*y-7232*y^2+41760*x+89760*y, 699534154660*y+131462650660*x-4822085992*y^2+342200408*x^2-3074630828*x*y-17935076796396], [1259/1287, true, -163956-1066*x^2-1976*x*y-3406*y^2+22594*x+48334*y, 391536058716*y+95235853086*x-2358308304*y^2+90453726*x^2-1755053784*x*y-13002084785844], [226/231, true, -89500-380*x^2-980*x*y-1340*y^2+10440*x+21960*y, 183338603976*y+56243246664*x-952271284*y^2+10572332*x^2-873315068*x*y-7454360811980], [8816/9009, 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429836132352*y+318099505152*x-2591882752*y^2-1745393152*x^2-1328903168*x*y-22030977056768], [8824/9009, true, -119664-1080*x^2-864*x*y-1080*y^2+19656*x+19656*y, 176181599880*y+140576037030*x-933921900*y^2-684931950*x^2-596234520*x*y-10712145560220], [8825/9009, true, -36608-256*x^2-256*x*y-256*y^2+5376*x+5376*y, 49197741824*y+42250444544*x-225128704*y^2-180016384*x^2-188674304*x*y-3440301134592], [2942/3003, true, -4464-24*x^2-32*x*y-24*y^2+600*x+600*y, 5574693300*y+5155047150*x-21145072*y^2-18601762*x^2-25281896*x*y-439714802192], [981/1001, true, -37440*x^2+8320*x*y-4680*y^2+299520*x+4680*y, -89790822396*y+6022262583216*x-13556517124*y^2-75294430312*x^2+28926990256*x*y+103347339520], [982/1001, true, -168448-25088*x^2+7168*x*y-25088*y^2+193536*x+193536*y, 2329889227776*y+3789156197376*x-31675145728*y^2-46415216128*x^2+16281822208*x*y-35711072665088], [8839/9009, true, -157500+3500*y+171500*x-2800*y^2-19600*x^2+4900*x*y, -35780611680*y+3260713531680*x-7304501376*y^2-37272629952*x^2+15259559328*x*y-31890906917280], [983/1001, true, -168260-20962*x^2+13912*x*y-28858*y^2+126054*x+197118*y, 2551424561136*y+2299421616228*x-35497468296*y^2-32951984004*x^2+19451006064*x*y-35712585937080], [1264/1287, true, -255192-12348*x^2+4116*x*y-12348*y^2+102900*x+102900*y, 1251924034900*y+1906642160500*x-15581226388*y^2-21533209348*x^2+8400197596*x*y-45439581661152], [8849/9009, true, -147852-9324*x^2+2664*x*y-1554*y^2+87912*x+2442*y, -6191846848*y+1576022438672*x-3641344384*y^2-16717495504*x^2+7385033344*x*y-28249369042272], [984/1001, true, -102600-19608*x^2+18544*x*y-23256*y^2+93024*x+125856*y, 1776241729152*y+1488562149888*x-30251084512*y^2-27345230176*x^2+24618497728*x*y-22530702914720], [8857/9009, true, -197540-9928*x^2+7412*x*y-12784*y^2+62220*x+90780*y, 1202925555040*y+1066088356960*x-16016887552*y^2-14772913024*x^2+10162401376*x*y-34761057814560], [8858/9009, true, 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5168541224*y+56078583176*x-202080784*y^2-532665472*x^2+337037656*x*y-2166797972280], [141/143, true, 22572-6798*x^2+5368*x*y-198*y^2+37026*x-22374*y, -360290642184*y+752921461116*x-2582784688*y^2-13827351388*x^2+12444168208*x*y+4219400664232], [8884/9009, true, 2200-3820*x^2+3380*x*y-460*y^2+21300*x-12300*y, -175100329580*y+388947164980*x-1874768836*y^2-7002473332*x^2+6933180028*x*y-373490908560], [2962/3003, true, -6336-864*x^2+976*x*y-384*y^2+4512*x-1248*y, -5781570432*y+67143762048*x-736151296*y^2-1288615936*x^2+1559902144*x*y-1409286458624], [8887/9009, true, -6020-322*x^2+392*x*y-238*y^2+1638*x+546*y, 13203557224*y+23476447852*x-371718832*y^2-443557228*x^2+558772528*x*y-1136376577560], [808/819, true, -4968+756*y+756*x-108*y^2-108*x^2+108*x*y, 11373219396*y+11373219396*x-147704148*y^2-147704148*x^2+147704148*x*y-826552412208], [2963/3003, true, -2700-60*x^2+40*x*y-30*y^2+600*x+150*y, 2158997280*y+8450265120*x-45407776*y^2-83536672*x^2+64645888*x*y-420513182720], [76/77, true, 6440-872*x^2+592*x*y+472*y^2+5184*x-6912*y, -331595345664*y+386178173568*x+1042356704*y^2-6207880864*x^2+4614182464*x*y+3393704300320], [8893/9009, true, 4908-568*x^2+436*x*y+272*y^2+3500*x-4900*y, 1465776744768-3088447488*x^2+2559041856*x*y+438746112*y^2+198981921600*x-189009374400*y], [8894/9009, true, 3608-344*x^2+304*x*y+136*y^2+2112*x-3168*y, -96577627168*y+90032018912*x+135948776*y^2-1406279704*x^2+1324426864*x*y+763966259448], [2965/3003, true, 2468-188*x^2+196*x*y+52*y^2+1080*x-1800*y, -42569280600*y+33944572200*x+9107924*y^2-570542476*x^2+626773252*x*y+443642652796], [8896/9009, true, 1464-88*x^2+112*x*y+8*y^2+416*x-832*y, -14890981248*y+9487805184*x-26822448*y^2-197303472*x^2+261910368*x*y+230584316976], [1271/1287, true, 620-32*x^2+52*x*y-8*y^2+84*x-252*y, -3139763704*y+1350698888*x-24550096*y^2-53708944*x^2+89876344*x*y+76145617080], [809/819, true, -252+32*y+32*x-4*y^2-4*x^2+4*x*y, 481406112*y+481406112*x-5470524*y^2-5470524*x^2+5470524*x*y-41756509692], [989/1001, true, 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8395236960*y+6212880960*x-40498168*y^2-27271768*x^2-20764112*x*y-592229790056], [8917/9009, true, -764-4*x^2-4*x*y-4*y^2+96*x+96*y, 878531104*y+754472224*x-3517636*y^2-2812756*x^2-2948036*x*y-71537872836], [992/1001, true, -5184*x^2+9216*x*y-41472*y^2+5184*x+331776*y, 4191291453690*y+3448238412960*x-47294753530*y^2-39789167260*x^2+9916952440*x*y-30503467403600], [993/1001, true, -15876*x^2+24696*x*y-55566*y^2+31752*x+388962*y, 5101216901352*y+2351305906092*x-63898436776*y^2-36121558036*x^2+24741986656*x*y-32577494907440], [8938/9009, true, -176400-3136*x^2+5488*x*y-21952*y^2+3920*x+192080*y, 2436010542900*y+1790888408100*x-24939664560*y^2-19074917880*x^2+5588228340*x*y-54265915091700], [142/143, true, -26244*x^2+34992*x*y-52488*y^2+78732*x+314928*y, 4333459340430*y+1980803100870*x-63438797430*y^2-39674592990*x^2+39332961720*x*y-23716959335100], [8947/9009, true, -207360+207360*y+23040*x-27648*y^2-9216*x^2+13824*x*y, 2749885600000*y+1204218400000*x-32111680000*y^2-18060160000*x^2+14225440000*x*y-51189060000000], [8948/9009, true, -167832-1764*x^2+3024*x*y-10584*y^2+2772*x+99792*y, 1272477333842*y+826240003622*x-12002067094*y^2-8314155274*x^2+2971450984*x*y-42203387479092], [995/1001, true, -32400*x^2+36000*x*y-40500*y^2+129600*x+202500*y, 2951227769490*y+2103589968480*x-52753432810*y^2-44191434820*x^2+45886102600*x*y-13437303027200], [8956/9009, true, -183600-14400*x^2+18000*x*y-24000*y^2+54000*x+150000*y, 2106713794900*y+1088249512900*x-29741740240*y^2-20482974040*x^2+21179593300*x*y-39313448420820], [689/693, true, -182700-4900*x^2+7000*x*y-12250*y^2+15400*x+96250*y, 1295913767940*y+558017256060*x-14448008340*y^2-8349690060*x^2+7475954400*x*y-37132920212400], [2986/3003, true, -105300-900*x^2+1500*x*y-4500*y^2+1800*x+45000*y, 578311524120*y+327838926360*x-5108903860*y^2-3211384180*x^2+1455511900*x*y-23745279863180], [996/1001, true, -32400*x^2+28800*x*y-25920*y^2+162000*x+103680*y, 1611178453170*y+2391699647700*x-37612776730*y^2-45496829200*x^2+42676493800*x*y-5842909385000], [815/819, true, -147456-16384*x^2+16384*x*y-16384*y^2+81920*x+81920*y, 1232399646720*y+1232399646720*x-22407266304*y^2-22407266304*x^2+22407266304*x*y-27986675613696], [8966/9009, true, -151200-7056*x^2+8064*x*y-9408*y^2+33264*x+59136*y, 854336238470*y+559500149780*x-12103719610*y^2-9667057720*x^2+10086179080*x*y-27430069536300], [427/429, true, -103680-2304*x^2+3072*x*y-4608*y^2+9216*x+36864*y, 507254499840*y+231863554560*x-5569386880*y^2-3483091840*x^2+3453099520*x*y-19218570656000], [8968/9009, true, -48960-400*x^2+640*x*y-1600*y^2+1040*x+16640*y, 216398988234*y+106504928244*x-1828116810*y^2-1059626880*x^2+629674344*x*y-10139821722576], [997/1001, true, -26244*x^2+17496*x*y-13122*y^2+157464*x+39366*y, 643071034980*y+2516965068420*x-22541656860*y^2-41469879420*x^2+32091979680*x*y-1726338193200], [1282/1287, true, -110160-14400*x^2+10800*x*y-8640*y^2+90000*x+32400*y, 522225289300*y+1374079778500*x-13789450480*y^2-21533582200*x^2+18083895700*x*y-19902655811220], [8975/9009, true, -113400-7056*x^2+6048*x*y-5292*y^2+44352*x+24948*y, 391214899790*y+656539872560*x-7829434210*y^2-10022202580*x^2+9192506440*x*y-19535985803100], [272/273, true, -78732+17496*y+17496*x-2916*y^2-2916*x^2+2916*x*y, 263208791736*y+263208791736*x-3988011996*y^2-3988011996*x^2+3988011996*x*y-13387756270572], [8977/9009, true, -42120-900*x^2+1080*x*y-1350*y^2+4680*x+10530*y, 149813943136*y+85584637996*x-1701134320*y^2-1251978340*x^2+1306968736*x*y-7328154966144], [8978/9009, true, -16200-144*x^2+216*x*y-432*y^2+504*x+4536*y, 60153747500*y+26342277500*x-501745000*y^2-282190000*x^2+222272500*x*y-3105296962500], [998/1001, true, -15876*x^2+7056*x*y-4536*y^2+111132*x+9072*y, 128298283542*y+2244236939802*x-10643732086*y^2-32016849826*x^2+18695579656*x*y-214021638740], [691/693, true, -69120-9216*x^2+4608*x*y-3072*y^2+69120*x+7680*y, 119036473600*y+1291543686400*x-6515760640*y^2-17174917120*x^2+10867221760*x*y-14129138899200], [8984/9009, true, -73080-4900*x^2+2800*x*y-1960*y^2+38500*x+6160*y, 99869413050*y+664795132650*x-3747374550*y^2-8416182150*x^2+5844015000*x*y-13876078850100], [2995/3003, true, -51840-2304*x^2+1536*x*y-1152*y^2+18432*x+4608*y, 75274890240*y+294624168960*x-1978965760*y^2-3640702720*x^2+2817402880*x*y-9222360742400], [8986/9009, true, -28080-900*x^2+720*x*y-600*y^2+7020*x+3120*y, 49688805166*y+105219380266*x-922270630*y^2-1310596330*x^2+1149592936*x*y-4753274723844], [817/819, true, -11520-256*x^2+256*x*y-256*y^2+1792*x+1792*y, 26958742272*y+26958742272*x-350113536*y^2-350113536*x^2+350113536*x*y-1920372744960], [428/429, true, -3240-36*x^2+48*x*y-72*y^2+180*x+720*y, 9907314450*y+4528585050*x-87021670*y^2-54423310*x^2+53954680*x*y-575276459300], [999/1001, true, -5184*x^2+1152*x*y-648*y^2+41472*x+648*y, -22710527730*y+1523193103080*x-3428809870*y^2-19043998060*x^2+7316418280*x*y+26139337600], [8992/9009, true, -25200-3136*x^2+784*x*y-448*y^2+27440*x+560*y, -9822948300*y+895172523300*x-2005324560*y^2-10232556120*x^2+4189248180*x*y-8755097109300], [8993/9009, true, -27972-1764*x^2+504*x*y-294*y^2+16632*x+462*y, -1879319728*y+478346789492*x-1105203424*y^2-5074014244*x^2+2241469984*x*y-8574113321592], [2998/3003, true, -21060-900*x^2+300*x*y-180*y^2+9000*x+360*y, 2049219480*y+226291157400*x-563924740*y^2-2262727300*x^2+1096800700*x*y-5651885012780], [1285/1287, true, -12240-400*x^2+160*x*y-100*y^2+4160*x+260*y, 3142985274*y+90594751104*x-258958890*y^2-870509700*x^2+473959944*x*y-2856345543576], [692/693, true, -5400-144*x^2+72*x*y-48*y^2+1512*x+168*y, 2603922860*y+28252518140*x-101808760*y^2-268358080*x^2+169800340*x*y-1091637761700], [2999/3003, true, -1620-36*x^2+24*x*y-18*y^2+360*x+90*y, 1470212700*y+5754378300*x-30921340*y^2-56885980*x^2+44021920*x*y-286356924800], [818/819, true, -252+32*y+32*x-4*y^2-4*x^2+4*x*y, 481406112*y+481406112*x-5470524*y^2-5470524*x^2+5470524*x*y-41756509692]]