bash-2.05a$ asir This is Risa/Asir, Version 20011226 (Kobe Distribution). Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED. Copyright 2000,2001, Risa/Asir committers, http://www.openxm.org/. GC 5.3, copyright 1999, H-J. Boehm, A. J. Demers, Xerox, SGI, HP. PARI 2.2.1(alpha), copyright (C) 2000, C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier. [0] load("./de3x4m2y2m1.asir")$ 1 0 (#0) (-#0) 6*x^4-y^2-2 x^3+48*x-y^2 x^3-12*x-y^2 12*x^2+(-2*#0)*y (-24*#0)*x^3+24*y*x (-v)/((2*#0)*u) (-2*u^3+v^2)/((4*#0)*u^2) (-4*#0+12) (24*#0-48) ((-24*#0)*x^3+24*y*x+(-24*#0+48))/(12*x^2+(-2*#0)*y+(4*#0-12)) ((288*#0-576)*x^3+(288*#0-576)*x^2+(96*#0-288)*y*x+(96*#0-288)*y)/(12*x^2+(-2*#0)*y+(4*#0-12)) (1728*x^6+((-288*#0)*y+(-576*#0+1728))*x^4+(-2304*#0+6912)*x^3+(-288*y^2+(-576*#0+1152)*y+(-1152*#0+2880))*x^2+(-1152*#0+2304)*y*x+(48*#0)*y^3+(-96*#0+288)*y^2+(-480*#0+1152)*y+(-192*#0+576))/(144*x^4+((-48*#0)*y+(96*#0-288))*x^2+24*y^2+(48*#0-96)*y+(-96*#0+240)) ((497664*#0)*x^11+(-1492992*y+(-497664*#0+995328))*x^9+(1990656*#0-3981312)*x^8+((165888*#0)*y^2+(-331776*#0+995328)*y+(2488320*#0-5971968))*x^7+((1658880*#0-4976640)*y+(-829440*#0+1990656))*x^6+(165888*y^3+(2985984*#0-7464960)*y+(-2488320*#0+6303744))*x^5+((497664*#0-995328)*y^2+(995328*#0-2488320)*y+(-4478976*#0+10948608))*x^4+((-41472*#0)*y^4+(55296*#0-165888)*y^3+(1244160*#0-2985984)*y^2+(-2101248*#0+4976640)*y+(-3538944*#0+8626176))*x^3+((-55296*#0+165888)*y^3+(1244160*#0-2985984)*y^2+(-3649536*#0+8957952)*y+(276480*#0-663552))*x^2+(13824*y^5+(13824*#0-27648)*y^4+(165888*#0-414720)*y^3+(-414720*#0+1050624)*y^2+(-1437696*#0+3538944)*y)*x+(-27648*#0+55296)*y^4+(276480*#0-691200)*y^3+(-746496*#0+1824768)*y^2+(110592*#0-276480)*y+(-497664*#0+1216512))/(20736*x^8+((-13824*#0)*y+(27648*#0-82944))*x^6+(20736*y^2+(41472*#0-82944)*y+(-82944*#0+207360))*x^4+((-2304*#0)*y^3+(13824*#0-41472)*y^2+(-69120*#0+165888)*y+(101376*#0-248832))*x^2+576*y^4+(2304*#0-4608)*y^3+(-13824*#0+34560)*y^2+(41472*#0-101376)*y+(-46080*#0+112896)) 1728*x^6+((-288*#0)*y+(-576*#0+1728))*x^4+(-2304*#0+6912)*x^3+(-288*y^2+(-576*#0+1152)*y+(-1152*#0+2880))*x^2+(-1152*#0+2304)*y*x+(48*#0)*y^3+(-96*#0+288)*y^2+(-480*#0+1152)*y+(-192*#0+576) 144*x^4+((-48*#0)*y+(96*#0-288))*x^2+24*y^2+(48*#0-96)*y+(-96*#0+240) 20736*x^8-82944*x^6+(-6912*y^2+27648*y+96768)*x^4+(13824*y^2-55296*y-27648)*x^2+576*y^4-4608*y^3+6912*y^2+9216*y+2304 82944*x^4+(-55296*y-55296)*x^2+9216*y^2+18432*y+9216 248832*x^10+((41472*#0)*y+(-248832*#0-248832))*x^8+(-331776*#0+995328)*x^7+(-82944*y^2+663552)*x^6+((165888*#0-331776)*y-663552)*x^5+((-13824*#0)*y^3+(82944*#0+82944)*y^2+(27648*#0-331776)*y+(55296*#0))*x^4+((55296*#0-165888)*y^2+(110592*#0+331776))*x^3+(6912*y^4-110592*y^2-110592*y-27648)*x^2+((-27648*#0+55296)*y^3+110592*y^2+(-55296*#0-110592)*y)*x+(1152*#0)*y^5+(-6912*#0-6912)*y^4+(-4608*#0+55296)*y^3+(-9216*#0+55296)*y^2+(-13824*#0)*y+(9216*#0+27648) 0 [[0,1]] 331776*x^4+663552*x^3+(-110592*y+221184)*x^2+(-221184*y-221184)*x-110592*y-110592 (497664*#0)*x^11+(-1492992*y+(-497664*#0+995328))*x^9+(1990656*#0-3981312)*x^8+((165888*#0)*y^2+(-331776*#0+995328)*y+(2488320*#0-5971968))*x^7+((1658880*#0-4976640)*y+(-829440*#0+1990656))*x^6+(165888*y^3+(2985984*#0-7464960)*y+(-2488320*#0+6303744))*x^5+((497664*#0-995328)*y^2+(995328*#0-2488320)*y+(-4478976*#0+10948608))*x^4+((-41472*#0)*y^4+(55296*#0-165888)*y^3+(1244160*#0-2985984)*y^2+(-2101248*#0+4976640)*y+(-3538944*#0+8626176))*x^3+((-55296*#0+165888)*y^3+(1244160*#0-2985984)*y^2+(-3649536*#0+8957952)*y+(276480*#0-663552))*x^2+(13824*y^5+(13824*#0-27648)*y^4+(165888*#0-414720)*y^3+(-414720*#0+1050624)*y^2+(-1437696*#0+3538944)*y)*x+(-27648*#0+55296)*y^4+(276480*#0-691200)*y^3+(-746496*#0+1824768)*y^2+(110592*#0-276480)*y+(-497664*#0+1216512) 20736*x^8+((-13824*#0)*y+(27648*#0-82944))*x^6+(20736*y^2+(41472*#0-82944)*y+(-82944*#0+207360))*x^4+((-2304*#0)*y^3+(13824*#0-41472)*y^2+(-69120*#0+165888)*y+(101376*#0-248832))*x^2+576*y^4+(2304*#0-4608)*y^3+(-13824*#0+34560)*y^2+(41472*#0-101376)*y+(-46080*#0+112896) 429981696*x^16-3439853568*x^14+(-286654464*y^2+1146617856*y+10892869632)*x^12+(1719926784*y^2-6879707136*y-17199267840)*x^10+(71663616*y^4-573308928*y^3-2579890176*y^2+14906032128*y+14046068736)*x^8+(-286654464*y^4+2293235712*y^3-1146617856*y^2-13759414272*y-5733089280)*x^6+(-7962624*y^6+95551488*y^5-47775744*y^4-2165833728*y^3+4108713984*y^2+4968677376*y+1210318848)*x^4+(15925248*y^6-191102976*y^5+668860416*y^4-254803968*y^3-1337720832*y^2-764411904*y-127401984)*x^2+331776*y^8-5308416*y^7+29196288*y^6-53084160*y^5-34504704*y^4+106168320*y^3+116785152*y^2+42467328*y+5308416 6879707136*x^8+(-9172942848*y-9172942848)*x^6+(4586471424*y^2+9172942848*y+4586471424)*x^4+(-1019215872*y^3-3057647616*y^2-3057647616*y-1019215872)*x^2+84934656*y^4+339738624*y^3+509607936*y^2+339738624*y+84934656 (10319560704*#0)*x^19+(10319560704*y+(-51597803520*#0-61917364224))*x^17+(41278242816*#0-82556485632)*x^16+((-6879707136*#0)*y^2+(6879707136*#0-20639121408)*y+(168552824832*#0+123834728448))*x^15+((-20639121408*#0+61917364224)*y+(-72236924928*#0+41278242816))*x^14+(-6879707136*y^3+(30958682112*#0+48157949952)*y^2+(-61917364224*#0-37838389248)*y+(-237349896192*#0-130714435584))*x^13+((-17199267840*#0+34398535680)*y^2+(48157949952*#0-147913703424)*y+(3439853568*#0+364624478208))*x^12+((1719926784*#0)*y^4+(-3439853568*#0+10319560704)*y^3+(-84276412416*#0-61917364224)*y^2+(144473849856*#0+144473849856)*y+(58477510656*#0+261428871168))*x^11+((10319560704*#0-30958682112)*y^3+(1719926784*#0+61917364224)*y^2+(34398535680*#0-144473849856)*y+(-24078974976*#0-399023013888))*x^10+(1719926784*y^5+(-6879707136*#0-13759414272)*y^4+(30958682112*#0+18919194624)*y^3+(60197437440*#0+8026324992)*y^2+(-6879707136*#0-400169631744)*y+(37838389248*#0-112368549888))*x^9+((1719926784*#0-3439853568)*y^4+(-10319560704*#0+39558316032)*y^3+(-12039487488*#0-120394874880)*y^2+(20639121408*#0+189191946240)*y+(10319560704*#0+185752092672))*x^8+((-191102976*#0)*y^6+(573308928*#0-1719926784)*y^5+(14046068736*#0+10319560704)*y^4+(-48157949952*#0-48157949952)*y^3+(-30958682112*#0+123834728448)*y^2+(-25225592832*#0+158233264128)*y+(-32487505920*#0-13759414272))*x^7+((-1719926784*#0+5159780352)*y^5+(5446434816*#0-24078974976)*y^4+(-11466178560*#0+48157949952)*y^3+(-3439853568*#0+87142957056)*y^2+(-16052649984*#0-135300907008)*y+(12612796416*#0-22932357120))*x^6+(-191102976*y^7+(668860416*#0+1719926784)*y^6+(-5159780352*#0-3153199104)*y^5+(-286654464*#0+8217427968)*y^4+(6879707136*#0+47011332096)*y^3+(-2293235712*#0-22932357120)*y^2+(6879707136*#0-15670444032)*y+(15670444032*#0+29812064256))*x^5+((95551488*#0-191102976)*y^6+(-573308928*#0-859963392)*y^5+(3726508032*#0+9746251776)*y^4+(-2293235712*#0-43953684480)*y^3+(2293235712*#0+27518828544)*y^2+(-11466178560*#0+14906032128)*y+(-4968677376*#0-764411904))*x^4+((7962624*#0)*y^8+(-31850496*#0+95551488)*y^7+(-780337152*#0-573308928)*y^6+(4013162496*#0+4013162496)*y^5+(3535405056*#0-27901034496)*y^4+(4204265472*#0-26372210688)*y^3+(9236643840*#0+11466178560)*y^2+(-7898923008*#0-19110297600)*y+(-2038431744*#0-4586471424))*x^3+((95551488*#0-286654464)*y^7+(-621084672*#0+2102132736)*y^6+(955514880*#0-4013162496)*y^5+(1242169344*#0-3439853568)*y^4+(2675441664*#0-4968677376)*y^3+(5541986304*#0-2293235712)*y^2+(2293235712*#0-2293235712)*y+(1146617856*#0+1528823808))*x^2+(7962624*y^9+(-23887872*#0-79626240)*y^8+(286654464*#0+175177728)*y^7+(-525533184*#0-987365376)*y^6+(-955514880*#0+3280601088)*y^5+(-668860416*#0+6943408128)*y^4+(-2675441664*#0-1210318848)*y^3+(573308928*#0+2930245632)*y^2+(764411904*#0+2038431744)*y)*x+(-15925248*#0+31850496)*y^8+(159252480*#0-270729216)*y^7+(-302579712*#0+31850496)*y^6+(-191102976*#0+2070282240)*y^5+(-668860416*#0+1465122816)*y^4+(-1146617856*#0+63700992)*y^3+(-318504960*#0+891813888)*y^2+(-254803968*#0-127401984)*y+(-127401984*#0-254803968) 0 [[0,1]] 110075314176*x^8+110075314176*x^7+(-128421199872*y-73383542784)*x^6+(-146767085568*y-36691771392)*x^5+(48922361856*y^2+42807066624*y+48922361856)*x^4+(61152952320*y^2+48922361856*y-12230590464)*x^3+(-6115295232*y^3-18345885696*y-24461180928)*x^2+(-8153726976*y^3-12230590464*y^2+4076863488)*x-2038431744*y^3+6115295232*y+4076863488 (12*x^2+24*x+12)/(3*x^2-y-1) (144*x^4+144*x^3-72*y*x^2+(-96*y+48)*x-24*y+48)/(9*x^4+(-6*y-6)*x^2+y^2+2*y+1) [[12,1],[x+1,2]] [[1,1],[3*x^2-y-1,1]] [[24,1],[x+1,1],[6*x^3-3*y*x-y+2,1]] [[1,1],[3*x^2-y-1,2]] u v (-4*#0+12) (-24*#0+48) (v+(24*#0-48))/(u+(4*#0-12)) ((-24*#0+48)*u+(4*#0-12)*v)/(u+(4*#0-12)) (-u^3+(-4*#0+12)*u^2+(-96*#0+240)*u+v^2+(48*#0-96)*v+(-192*#0+576))/(u^2+(8*#0-24)*u+(-96*#0+240)) 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-442368*u^36+159252480*u^35+(5308416*v-26839351296)*u^34+(-2080899072*v+2805391687680)*u^33+(387556835328*v-202855554220032)*u^32+(-45628256157696*v+10692275717799936)*u^31+(3811736901648384*v-419756995755638784)*u^30+(-240437361987551232*v+12187172454921142272)*u^29+(11899213084763357184*v-246060960086375792640)*u^28+(-473996612490856759296*v+2535885682907560280064)*u^27+(15472197206856488189952*v+33943193985980515221504)*u^26+(-419251098870145024524288*v-2288182238756000552189952)*u^25+(9521255872978420437614592*v+60379439085257547357093888)*u^24+(-182522194629990968715116544*v-1082054584319924978665390080)*u^23+(2969433303906382131637518336*v+14436108153025885923144892416)*u^22+(-41164792926331564343345283072*v-145520306617857950362047086592)*u^21+(487737340705418452661434318848*v+1069845333488362615039812698112)*u^20+(-4950066644584332599469891649536*v-4884100571112985974142364811264)*u^19+43098040617772699788070745014272*v*u^18+(-322189185756045839552723558596608*v+234436827413423326758833510940672)*u^17+(2068705949653089589827395760685056*v-2464923648357187465051728456450048)*u^16+(-11404953549122302309178630360530944*v+16093381749482146446439511400382464)*u^15+(53939847983293637516733344190038016*v-76632867497253061248597117219373056)*u^14+(-218519845406825297465243594183933952*v+275711801677307466026256736651837440)*u^13+(756623388546696067665538009685557248*v-738476191897819841689700909325484032)*u^12+(-2232354213109919550373226735695036416*v+1343319353722718955666871739895250944)*u^11+(5589627901696985485539443319477633024*v-956494781988792051819879175997620224)*u^10+(-11814194285251699763505721994932912128*v-3430052822144655495090626757270700032)*u^9+(20927778429391965374705663586626174976*v+15975523116096166510489846165127823360)*u^8+(-30774259505208823209150623070346543104*v-37980140571038606099134808161039417344)*u^7+(37082743131411484337572706297176915968*v+62790333741921296054634204544383320064)*u^6+(-35966386161230944189160033691654684672*v-76772597582298784422213912856979570688)*u^5+(27369004593912898705468506041191759872*v+69914012287022590834100446978520383488)*u^4+(-15725743738741338517421953415972388864*v-46410053224680701503792630569117941760)*u^3+(6411416072183410262240562315679236096*v+21312373215620856203739831076971872256)*u^2+(-1652383366400984104403879308182945792*v-6069979713309737526381597458631229440)*u+202332657110324584212719915287707648*v+809330628441298336850879661150830592 (-u^2+4*v+48)/(-u^2+24*u-48) (-2*u^4-48*u^3+24*v*u^2+(-192*v+2304)*u+1152*v+4608)/(-u^4+48*u^3-672*u^2+2304*u-2304) [[-1,1],[u^2-4*v-48,1]] [[-1,1],[u^2-24*u+48,1]] [[-2,1],[u^4+24*u^3-12*v*u^2+(96*v-1152)*u-576*v-2304,1]] [[-1,1],[u^2-24*u+48,2]] end-of-file detected during parsing return to toplevel [181] XX3; (-u^2+4*v+48)/(-u^2+24*u-48) [182] YY3; (-2*u^4-48*u^3+24*v*u^2+(-192*v+2304)*u+1152*v+4608)/(-u^4+48*u^3-672*u^2+2304*u-2304) [183] XXXnf; [[12,1],[x+1,2]] [184] XXXdf; [[1,1],[3*x^2-y-1,1]] [185] YYYnf; [[24,1],[x+1,1],[6*x^3-3*y*x-y+2,1]] [186] YYYdf; [[1,1],[3*x^2-y-1,2]] [187] XX3nf; [[-1,1],[u^2-4*v-48,1]] [188] XX3df; [[-1,1],[u^2-24*u+48,1]] [189] YY3nf; [[-2,1],[u^4+24*u^3-12*v*u^2+(96*v-1152)*u-576*v-2304,1]] [190] YY3df; [[-1,1],[u^2-24*u+48,2]] [191] quit; bash-2.05a$