# Stand: 6.1., 10 Uhr #
# Eingaben sollen jeweils F[i] und G[i] sein. F[i] hat Grad i+1 in x und Grad #
# 5 in y, genauso wie G[i]. F und G haben 20 Elemente.#
F:=[(850*y^5+738*y^4+547+12*y^3+232*y^2+746*y)*x^2+(672*y^5+292*y^4+177+863*y^3+
593*y^2+618*y)*x+637*y^5+256*y^4+678+410*y^3+425*y^2+20*y,
(545*y^5+472*y^4+
725+955*y^3+878*y^2+406*y)*x^3+(960*y^5+125*y^4+216+117*y^3+71*y^2+530*y)*x^2+
(468*y^5+635*y^4+684+626*y^3+161*y^2+800*y)*x+434*y^5+547*y^4+440+490*y^3+695*
y^2+75*y,
(471*y^5+226*y^4+653+45*y^3+626*y^2+387*y)*x^4+(393*y^5+927*y^4+861+
647*y^3+883*y^2+217*y)*x^3+(524*y^5+277*y^4+614+233*y^3+982*y^2+265*y)*x^2+(
133*y^5+273*y^4+898+756*y^3+952*y^2+609*y)*x+374*y^5+725*y^4+489+50*y^3+253*y^
2+304*y,
(862*y^5+354*y^4+148+216*y^3+593*y^2+109*y)*x^5+(749*y^5+220*y^4+387+
653*y^3+778*y^2+668*y)*x^4+84*y^5+487*y^4+756+175*y^3+129*y^2+557*y+(876*y^5+
977*y^4+342+632*y^3+398*y^2+386*y)*x^3+(212*y^5+819*y^4+628+675*y^3+828*y^2+
721*y)*x^2+(667*y^5+397*y^4+293+421*y^3+791*y^2+573*y)*x,
(992*y^5+795*y^4+904
+953*y^3+907*y^2+163*y)*x^6+(143*y^5+730*y^4+770+779*y^3+860*y^2+411*y)*x^5+(
927*y^5+445*y^4+14+355*y^3+944*y^2+870*y)*x+367*y^5+794*y^4+829+560*y^3+105*y^
2+484*y+(591*y^5+440*y^4+165+579*y^3+569*y^2+53*y)*x^4+(611*y^5+322*y^4+95+402
*y^3+446*y^2+453*y)*x^2,
(769*y^5+396*y^4+27+744*y^3+256*y^2+888*y)*x^7+(618*y
^5+303*y^4+786+83*y^3+56*y^2+793*y)*x^2+(981*y^5+380*y^4+319+866*y^3+428*y^2+
174*y)*x+(574*y^5+557*y^4+390+757*y^3+234*y^2+615*y)*x^4+(230*y^5+408*y^4+91+
805*y^3+16*y^2+925*y)*x^3+937*y^5+911*y^4+69+19*y^3+722*y^2+166*y,
(525*y^5+86
*y^4+766+264*y^3+691*y^2+71*y)*x^8+(436*y^5+292*y^4+541+433*y^3+726*y^2+481*y)
*x^7+(872*y^5+141*y^4+963+611*y^3+70*y^2+590*y)*x^2+(237*y^5+596*y^4+920+208*y
^3+565*y^2+276*y)*x^6+(683*y^5+408*y^4+321+692*y^3+229*y^2+621*y)*x^5+(288*y^5
+900*y^4+845+895*y^3+194*y^2+244*y)*x^4,
(512*y^5+277*y^4+100+433*y^3+328*y^2+
568*y)*x^8+(117*y^5+237*y^4+714+583*y^3+803*y^2+342*y)*x^3+(439*y^5+465*y^4+
819+273*y^3+634*y^2+355*y)*x^7+(52*y^5+538*y^4+113+954*y^3+769*y^2+472*y)*x^6+
(848*y^5+433*y^4+455+257*y^3+939*y^2+471*y)*x+236*y^5+100*y^4+122+806*y^3+153*
y^2+913*y,
(726*y^5+144*y^4+225+583*y^3+754*y^2+352*y)*x^10+(878*y^5+650*y^4+
18+372*y^3+833*y^2+28*y)*x^5+(923*y^5+721*y^4+37+84*y^3+478*y^2+458*y)*x^6+(
538*y^5+754*y^4+249+607*y^3+964*y^2+302*y)*x^3+(515*y^5+161*y^4+599+308*y^3+
772*y^2+597*y)*x+416*y^5+494*y^4+43+231*y^3+814*y^2+494*y,
(499*y^5+720*y^4+
454+243*y^3+332*y^2+378*y)*x^10+(99*y^5+639*y^4+211+652*y^3+534*y^2+177*y)*x^6
+(458*y^5+525*y^4+196+704*y^3+212*y^2+338*y)*x^5+(627*y^5+953*y^4+392+47*y^3+
237*y^2+585*y)*x^9+(185*y^5+799*y^4+333+909*y^3+202*y^2+722*y)*x+781*y^5+609*y
^4+164+774*y^3+944*y^2+431*y,
(911*y^5+454*y^4+917+421*y^3+513*y^2+106*y)*x^12
+(568*y^5+798*y^4+107+695*y^3+293*y^2+56*y)*x^10+(902*y^5+672*y^4+704+824*y^3+
923*y^2+370*y)*x^9+(340*y^5+728*y^4+854+213*y^3+456*y^2+465*y)*x^8+(540*y^5+
386*y^4+828+799*y^3+687*y^2+272*y)*x+60*y^5+593*y^4+8+917*y^3+917*y^2+895*y,
(
69*y^5+215*y^4+272+7*y^3+44*y^2+718*y)*x^12+(811*y^5+456*y^4+223+885*y^3+222*y
^2+209*y)*x^10+(792*y^5+921*y^4+221+275*y^3+21*y^2+158*y)*x^5+(248*y^5+53*y^4+
159+915*y^3+755*y^2+176*y)*x^2+(753*y^5+930*y^4+444+371*y^3+458*y^2+306*y)*x+
73*y^5+695*y^4+986+658*y^3+352*y^2+492*y,
(444*y^5+518*y^4+25+141*y^3+981*y^2+
442*y)*x^14+(282*y^5+35*y^4+128+782*y^3+426*y^2+357*y)*x^9+(866*y^5+184*y^4+
534+258*y^3+378*y^2+834*y)*x^8+(380*y^5+502*y^4+249+544*y^3+667*y^2+393*y)*x^
12+(541*y^5+903*y^4+445+167*y^3+858*y^2+344*y)*x^11+(805*y^5+323*y^4+503+204*y
^3+255*y^2+435*y)*x,
(78*y^5+805*y^4+262+562*y^3+5*y^2+595*y)*x^13+(284*y^5+
243*y^4+188+100*y^3+457*y^2+607*y)*x^8+(840*y^5+393*y^4+91+530*y^3+292*y^2+505
*y)*x^7+(446*y^5+990*y^4+570+240*y^3+220*y^2+180*y)*x^4+(665*y^5+514*y^4+37+
587*y^3+433*y^2+823*y)*x^2+(463*y^5+548*y^4+819+926*y^3+964*y^2+479*y)*x,
(456
*y^5+303*y^4+514+285*y^3+148*y^2+520*y)*x^12+(281*y^5+603*y^4+927+217*y^3+897*
y^2+632*y)*x^9+(258*y^5+435*y^4+202+800*y^3+86*y^2+300*y)*x^6+(508*y^5+202*y^4
+461+610*y^3+713*y^2+141*y)*x^4+(166*y^5+527*y^4+646+291*y^3+93*y^2+617*y)*x^2
+719*y^5+611*y^4+447+400*y^3+579*y^2+762*y,
(892*y^5+25*y^4+22+701*y^3+581*y^2
+264*y)*x^17+(302*y^5+180*y^4+839+802*y^3+987*y^2+952*y)*x^13+(911*y^5+424*y^4
+280+881*y^3+13*y^2+475*y)*x^6+(299*y^5+34*y^4+228+939*y^3+391*y^2+345*y)*x^3+
(653*y^5+433*y^4+385+499*y^3+765*y^2+447*y)*x+293*y^5+322*y^4+854+316*y^3+727*
y^2+112*y,
(734*y^5+709*y^4+71+986*y^3+2*y^2+128*y)*x^15+(202*y^5+466*y^4+919+
857*y^3+622*y^2+232*y)*x^7+(148*y^5+90*y^4+615+993*y^3+463*y^2+67*y)*x^6+(316*
y^5+597*y^4+472+299*y^3+476*y^2+606*y)*x^5+(308*y^5+350*y^4+598+220*y^3+527*y^
2+970*y)*x^4+(977*y^5+13*y^4+189+29*y^3+209*y^2+524*y)*x,
(527*y^5+90*y^4+542+
905*y^3+929*y^2+11*y)*x^18+(364*y^5+688*y^4+723+367*y^3+626*y^2+677*y)*x^16+(
593*y^5+422*y^4+865+401*y^3+97*y^2+240*y)*x^11+(717*y^5+910*y^4+797+412*y^3+
535*y^2+551*y)*x^7+(536*y^5+762*y^4+416+305*y^3+313*y^2+724*y)*x^4+(180*y^5+
748*y^4+974+859*y^3+492*y^2+708*y)*x^2,
(298*y^5+25*y^4+79+190*y^3+101*y^2+961
*y)*x^20+(17*y^5+962*y^4+262+142*y^3+468*y^2+33*y)*x^15+(776*y^5+217*y^4+35+
302*y^3+690*y^2+224*y)*x^16+(146*y^5+204*y^4+468+666*y^3+805*y^2+550*y)*x^13+(
654*y^5+15*y^4+602+276*y^3+571*y^2+941*y)*x^11+(583*y^5+132*y^4+890+746*y^3+
683*y^2+734*y)*x^6,
(252*y^5+921*y^4+901+843*y^3+907*y^2+502*y)*x^21+(767*y^5+
891*y^4+984+688*y^3+965*y^2+458*y)*x^16+(587*y^5+642*y^4+509+633*y^3+302*y^2+
411*y)*x^14+(792*y^5+823*y^4+783+700*y^3+612*y^2+74*y)*x^13+(790*y^5+138*y^4+
791+777*y^3+523*y^2+586*y)*x^12+248*y^5+448*y^4+507+945*y^3+663*y^2+892*y];
G:=[(102*y^5+826*y^4+667+3*y^3+881*y^2+969*y)*x^2+(337*y^5+299*y^4+890+609*y^3+
770*y^2+411*y)*x+302*y^5+257*y^4+649+788*y^3+490*y^2+630*y,
(359*y^5+593*y^4+
754+502*y^3+912*y^2+386*y)*x^3+(919*y^5+845*y^4+639+103*y^3+778*y^2+492*y)*x^2
+(20*y^5+775*y^4+881+256*y^3+593*y^2+75*y)*x+483*y^5+379*y^4+449+907*y^3+769*y
^2+867*y,
(261*y^5+554*y^4+774+893*y^3+564*y^2+424*y)*x^4+(635*y^5+777*y^4+778
+925*y^3+545*y^2+788*y)*x^3+(181*y^5+716*y^4+127+811*y^3+947*y^2+492*y)*x^2+(
26*y^5+700*y^4+654+976*y^3+924*y^2+51*y)*x+224*y^5+492*y^4+444+887*y^3+825*y^2
+367*y,
(555*y^5+261*y^4+467+651*y^3+99*y^2+982*y)*x^5+(323*y^5+248*y^4+580+
203*y^3+518*y^2+334*y)*x^4+481*y^5+250*y^4+887+353*y^3+395*y^2+460*y+(690*y^5+
603*y^4+811+353*y^3+228*y^2+509*y)*x^3+(773*y^5+353*y^4+104+691*y^3+287*y^2+
960*y)*x^2+(476*y^5+552*y^4+994+675*y^3+104*y^2+115*y)*x,
(682*y^5+118*y^4+539
+410*y^3+366*y^2+615*y)*x^6+(733*y^5+278*y^4+507+9*y^3+306*y^2+160*y)*x^5+(385
*y^5+119*y^4+707+356*y^3+433*y^2+669*y)*x+502*y^5+979*y^4+272+285*y^3+532*y^2+
88*y+(586*y^5+805*y^4+121+263*y^3+133*y^2+546*y)*x^4+(104*y^5+798*y^4+984+719*
y^3+453*y^2+179*y)*x^3,
(237*y^5+570*y^4+709+959*y^3+234*y^2+694*y)*x^7+(343*y
^5+193*y^4+75+290*y^3+520*y^2+122*y)*x^6+(317*y^5+322*y^4+296+105*y^3+729*y^2+
573*y)*x^2+(764*y^5+782*y^4+654+482*y^3+105*y^2+703*y)*x+(618*y^5+524*y^4+663+
566*y^3+813*y^2+563*y)*x^3+374*y^5+716*y^4+320+369*y^3+812*y^2+779*y,
(666*y^5
+687*y^4+31+234*y^3+936*y^2+161*y)*x^8+(925*y^5+842*y^4+597+789*y^3+128*y^2+
268*y)*x^7+(742*y^5+164*y^4+126+531*y^3+103*y^2+573*y)*x^3+(396*y^5+801*y^4+
283+954*y^3+134*y^2+646*y)*x^6+(330*y^5+405*y^4+511+684*y^3+549*y^2+36*y)*x+
656*y^5+438*y^4+454+468*y^3+255*y^2+523*y,
(436*y^5+477*y^4+541+419*y^3+901*y^
2+875*y)*x^8+(280*y^5+611*y^4+776+613*y^3+14*y^2+785*y)*x^3+(617*y^5+567*y^4+
108+245*y^3+462*y^2+117*y)*x^7+(220*y^5+915*y^4+447+28*y^3+73*y^2+646*y)*x^6+(
952*y^5+801*y^4+723+714*y^3+188*y^2+772*y)*x+752*y^5+251*y^4+173+434*y^3+396*y
^2+300*y,
(446*y^5+214*y^4+679+677*y^3+265*y^2+308*y)*x^10+(644*y^5+441*y^4+
823+26*y^3+71*y^2+140*y)*x^5+(532*y^5+8*y^4+596+178*y^3+124*y^2+149*y)*x^8+(
959*y^5+514*y^4+365+893*y^3+790*y^2+801*y)*x^7+(47*y^5+37*y^4+488+854*y^3+36*y
^2+859*y)*x+312*y^5+439*y^4+946+136*y^3+732*y^2,
(112*y^5+199*y^4+26+922*y^3+
889*y^2+696*y)*x^10+(164*y^5+987*y^4+811+779*y^3+814*y^2+78*y)*x^5+(214*y^5+
271*y^4+989+156*y^3+274*y^2+109*y)*x^9+(544*y^5+636*y^4+349+458*y^3+295*y^2+
481*y)*x^8+(235*y^5+668*y^4+70+679*y^3+601*y^2+536*y)*x^2+580*y^5+890*y^4+3+
697*y^3+963*y^2+916*y,
(320*y^5+114*y^4+785+162*y^3+474*y^2+591*y)*x^10+(584*y
^5+987*y^4+336+843*y^3+100*y^2+265*y)*x^8+(938*y^5+285*y^4+122+819*y^3+477*y^2
+992*y)*x^4+(431*y^5+778*y^4+277+802*y^3+181*y^2+69*y)*x^3+(172*y^5+675*y^4+
291+397*y^3+54*y^2+958*y)*x^2+(157*y^5+877*y^4+198+614*y^3+754*y^2+254*y)*x,
(
390*y^5+754*y^4+647+185*y^3+76*y^2+297*y)*x^12+(521*y^5+715*y^4+836+228*y^3+
744*y^2+986*y)*x^6+(217*y^5+929*y^4+428+417*y^3+263*y^2+922*y)*x^5+(867*y^5+
450*y^4+360+953*y^3+962*y^2+780*y)*x^4+(779*y^5+824*y^4+792+741*y^3+969*y^2+
123*y)*x^2+(317*y^5+906*y^4+161+376*y^3+898*y^2+513*y)*x,
(755*y^5+467*y^4+606
+751*y^3+638*y^2+735*y)*x^14+(540*y^5+781*y^4+239+681*y^3+199*y^2+843*y)*x^9+(
746*y^5+837*y^4+777+132*y^3+380*y^2+844*y)*x^8+(272*y^5+538*y^4+309+542*y^3+
957*y^2+996*y)*x^10+(283*y^5+611*y^4+731+609*y^3+922*y^2+748*y)*x^2+84*y^5+560
*y^4+476+460*y^3+633*y^2+850*y,
(417*y^5+65*y^4+374+642*y^3+776*y^2+403*y)*x^
15+(495*y^5+61*y^4+306+408*y^3+909*y^2+345*y)*x^10+(225*y^5+920*y^4+400+571*y^
3+907*y^2+211*y)*x^8+(376*y^5+415*y^4+254+392*y^3+715*y^2+118*y)*x^6+(483*y^5+
877*y^4+438+904*y^3+58*y^2+589*y)*x^3+938*y^5+624*y^4+675+266*y^3+60*y^2+640*y
,
(845*y^5+845*y^4+811+371*y^3+432*y^2+230*y)*x^16+(13*y^5+945*y^4+542+894*y^3
+794*y^2+591*y)*x^10+(289*y^5+479*y^4+183+424*y^3+176*y^2+176*y)*x^13+(606*y^5
+916*y^4+863+35*y^3+622*y^2+174*y)*x^4+(791*y^5+897*y^4+436+567*y^3+577*y^2+
802*y)*x^2+314*y^5+906*y^4+12+746*y^3+203*y^2+481*y,
(107*y^5+638*y^4+152+634*
y^3+672*y^2+884*y)*x^12+(509*y^5+371*y^4+31+120*y^3+521*y^2+886*y)*x^15+(530*y
^5+807*y^4+397+38*y^3+400*y^2+270*y)*x^10+(718*y^5+618*y^4+963+712*y^3+913*y^2
+517*y)*x^9+(648*y^5+916*y^4+165+596*y^3+231*y^2+391*y)*x^5+(823*y^5+248*y^4+
515+912*y^3+85*y^2+29*y)*x^4,
(47*y^5+330*y^4+962+760*y^3+982*y^2+18*y)*x^18+(
356*y^5+447*y^4+572+527*y^3+123*y^2+98*y)*x^13+(899*y^5+881*y^4+751+829*y^3+
987*y^2+909*y)*x^14+(863*y^5+830*y^4+193+153*y^3+307*y^2+639*y)*x^7+(829*y^5+
728*y^4+889+860*y^3+47*y^2+717*y)*x^2+467*y^5+436*y^4+909+179*y^3+118*y^2+627*
y,
(687*y^5+182*y^4+646+959*y^3+537*y^2+478*y)*x^12+(403*y^5+38*y^4+66+207*y^3
+551*y^2+680*y)*x^11+(661*y^5+600*y^4+713+557*y^3+4*y^2+823*y)*x^9+(271*y^5+
933*y^4+977+325*y^3+205*y^2+990*y)*x^7+(292*y^5+60*y^4+493+884*y^3+639*y^2+995
*y)*x^2+285*y^5+517*y^4+319+732*y^3+407*y^2+869*y,
(481*y^5+602*y^4+198+851*y^
3+207*y^2+75*y)*x^19+(208*y^5+943*y^4+487+125*y^3+351*y^2+409*y)*x^18+(268*y^5
+66*y^4+592+338*y^3+786*y^2+231*y)*x^16+(876*y^5+708*y^4+653+455*y^3+654*y^2+
341*y)*x^7+(77*y^5+704*y^4+571+659*y^3+169*y^2+584*y)*x^6+650*y^5+263*y^4+33+
609*y^3+761*y^2+830*y,
(110*y^5+98*y^4+291+200*y^3+840*y^2+405*y)*x^16+(506*y^
5+479*y^4+734+955*y^3+36*y^2+179*y)*x^8+(817*y^5+676*y^4+26+904*y^3+270*y^2+
329*y)*x^7+(345*y^5+767*y^4+964+678*y^3+810*y^2+724*y)*x^6+(167*y^5+230*y^4+
361+111*y^3+235*y^2+636*y)*x^4+(788*y^5+118*y^4+184+297*y^3+229*y^2+41*y)*x^2];
# p ist das irreduzible Polynom fuer die Bigprime-Version. #
p:=738+547*y^4+12*y^3+232*y^2+746*y^6+672*y^5;