{VERSION 2 3 "SUN SPARC SOLARIS" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "ACHTUNG! Das Polynom p hat sich geaendert, Stand: 6.1., 9 Uhr" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 147 "Die Listen F und G haben jeweils 20 Elemente, das i.Element ha t Grad i+1 in x, alle Elemente haben Grad 5 in y. F\374r den Test soll en die Prozeduren " }}{PARA 0 "" 0 "" {TEXT -1 50 "mit den Eingaben F[ i] und G[i] aufgerufen werden. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5436 "F:=[(439*y^5+42*y^4+919+142*y^3+384*y^2+37*y)*x^2+(179*y^5+4 78*y^4+876+930*y^3+\n854*y^2+699*y)*x+132*y^5+528*y^4+657+88*y^3+587*y ^2+529*y, (193*y^5+551*y^4+\n344+624*y^3+537*y^2+685*y)*x^3+(974*y^5+7 95*y^4+491+493*y^3+925*y^2+231*y)*x^2\n+(19*y^5+253*y^4+524+955*y^3+26 8*y^2+575*y)*x+583*y^5+327*y^4+675+422*y^3+146*\ny^2+468*y, (805*y^5+5 04*y^4+66+266*y^3+752*y^2+103*y)*x^4+(869*y^5+396*y^4+745\n+7*y^3+703* y^2+989*y)*x^3+(651*y^5+539*y^4+275+279*y^3+299*y^2+363*y)*x^2+(728\n* y^5+822*y^4+582+438*y^3+572*y^2+551*y)*x+778*y^5+449*y^4+868+240*y^3+1 73*y^2+\n250*y, (451*y^5+609*y^4+455+72*y^3+219*y^2+255*y)*x^5+(436*y^ 5+858*y^4+700+363\n*y^3+298*y^2+931*y)*x^4+842*y^5+917*y^4+428+958*y^3 +260*y^2+481*y+(192*y^5+786\n*y^4+789+613*y^3+833*y^2+523*y)*x^3+(340* y^5+377*y^4+296+13*y^3+235*y^2+312*y)\n*x^2+(303*y^5+979*y^4+980+970*y ^3+444*y^2+608*y)*x, (651*y^5+814*y^4+994+199*y\n^3+288*y^2+171*y)*x^5 +(775*y^5+57*y^4+782+396*y^3+996*y^2+816*y)*x+499*y^5+572\n*y^4+519+71 0*y^3+918*y^2+338*y+(740*y^5+137*y^4+985+659*y^3+718*y^2+174*y)*x^4\n+ (743*y^5+301*y^4+650+425*y^3+966*y^2+190*y)*x^3+(509*y^5+924*y^4+252+8 81*y^3+\n579*y^2+745*y)*x^2, (976*y^5+105*y^4+557+531*y^3+111*y^2+952* y)*x^7+(506*y^5+\n182*y^4+742+418*y^3+700*y^2+525*y)*x^2+(357*y^5+426* y^4+449+831*y^3+17*y^2+9*y\n)*x+(710*y^5+470*y^4+406+514*y^3+160*y^2+7 5*y)*x^5+(613*y^5+994*y^4+48+690*y^3\n+311*y^2+403*y)*x^3+104*y^5+140* y^4+724+767*y^3+974*y^2+484*y, (992*y^5+870*y^\n4+411+324*y^3+856*y^2+ 599*y)*x^8+(227*y^5+892*y^4+875+398*y^3+139*y^2+806*y)*x\n^3+(968*y^5+ 59*y^4+663+566*y^3+625*y^2+449*y)*x^2+(731*y^5+230*y^4+307+578*y^3\n+6 29*y^2+746*y)*x^5+(198*y^5+594*y^4+512+785*y^3+89*y^2+639*y)*x^4+(873* y^5+\n220*y^4+242+100*y^3+678*y^2+704*y)*x, (889*y^5+788*y^4+72+449*y^ 3+756*y^2+298*\ny)*x^8+(114*y^5+456*y^4+277+408*y^3+571*y^2+614*y)*x^4 +(119*y^5+948*y^4+108+\n924*y^3+104*y^2+47*y)*x^7+(737*y^5+916*y^4+250 +796*y^3+745*y^2+389*y)*x^6+(510\n*y^5+783*y^4+453+604*y^3+166*y^2+621 *y)*x+885*y^5+491*y^4+189+285*y^3+945*y^2+\n761*y, (761*y^5+973*y^4+40 8+777*y^3+295*y^2+749*y)*x^5+(446*y^5+746*y^4+591+\n290*y^3+800*y^2+98 3*y)*x^4+(55*y^5+776*y^4+405+20*y^3+41*y^2+567*y)*x^8+(178*y\n^5+313*y ^4+374+936*y^3+67*y^2+297*y)*x^7+(383*y^5+465*y^4+959+539*y^3+634*y^2+ \n50*y)*x^6+(573*y^5+833*y^4+305+742*y^3+413*y^2+970*y)*x, (161*y^5+37 3*y^4+413+\n145*y^3+810*y^2+85*y)*x^11+(927*y^5+583*y^4+119+319*y^3+66 6*y^2+99*y)*x^10+(\n415*y^5+734*y^4+22+324*y^3+878*y^2+451*y)*x^9+(295 *y^5+913*y^4+466+935*y^3+551\n*y^2+914*y)*x^8+(705*y^5+689*y^4+871+768 *y^3+573*y^2+8*y)*x^2+(740*y^5+831*y^4\n+821+539*y^3+913*y^2+109*y)*x, (213*y^5+763*y^4+124+620*y^3+190*y^2+229*y)*x^\n12+(261*y^5+809*y^4+9 47+97*y^3+602*y^2+900*y)*x^9+(438*y^5+873*y^4+812+571*y^3\n+676*y^2+20 8*y)*x^8+(272*y^5+561*y^4+624+150*y^3+715*y^2+466*y)*x^5+(706*y^5+\n48 2*y^4+970+742*y^3+939*y^2+937*y)*x^4+(821*y^5+554*y^4+634+667*y^3+51*y ^2+736\n*y)*x, (608*y^5+148*y^4+789+572*y^3+949*y^2+750*y)*x^13+(247*y ^5+481*y^4+841+\n692*y^3+877*y^2+652*y)*x^12+(531*y^5+605*y^4+96+694*y ^3+718*y^2+690*y)*x^8+(\n504*y^5+940*y^4+412+210*y^3+908*y^2+543*y)*x^ 10+(646*y^5+950*y^4+963+670*y^3+\n978*y^2+496*y)*x^4+(804*y^5+364*y^4+ 506+354*y^3+54*y^2+439*y)*x^2, (569*y^5+\n996*y^4+673+16*y^3+329*y^2+8 9*y)*x^13+(154*y^5+971*y^4+418+901*y^3+741*y^2+548\n*y)*x^9+(641*y^5+7 74*y^4+352+17*y^3+992*y^2+18*y)*x^6+(651*y^5+432*y^4+544+342\n*y^3+124 *y^2+627*y)*x^5+(5*y^5+120*y^4+898+153*y^3+239*y^2+239*y)*x^3+(311*y^5 \n+446*y^4+556+673*y^3+344*y^2+617*y)*x^2, (543*y^5+498*y^4+295+538*y^ 3+938*y^2+\n794*y)*x^12+(939*y^5+911*y^4+84+903*y^3+197*y^2+278*y)*x^1 1+(465*y^5+912*y^4+\n615+322*y^3+504*y^2+365*y)*x^7+(970*y^5+258*y^4+7 41+809*y^3+917*y^2+26*y)*x^4+\n(988*y^5+917*y^4+47+953*y^3+32*y^2+106* y)*x^2+393*y^5+325*y^4+214+57*y^3+907*y\n^2+857*y, (267*y^5+675*y^4+16 1+817*y^3+875*y^2+378*y)*x^15+(664*y^5+343*y^4+\n397+911*y^3+65*y^2+17 6*y)*x^14+(540*y^5+864*y^4+328+597*y^3+301*y^2+836*y)*x^9\n+(159*y^5+7 59*y^4+152+900*y^3+169*y^2+629*y)*x^8+(215*y^5+413*y^4+434+403*y^3+\n2 79*y^2+376*y)*x^7+(480*y^5+247*y^4+448+725*y^3+67*y^2+163*y)*x^4, (334 *y^5+\n145*y^4+460+588*y^3+581*y^2+953*y)*x^11+(654*y^5+848*y^4+708+63 8*y^3+534*y^2+\n139*y)*x^13+(626*y^5+709*y^4+219+358*y^3+773*y^2+40*y) *x^5+(981*y^5+533*y^4+24\n+887*y^3+81*y^2+491*y)*x^3+(16*y^5+438*y^4+5 96+981*y^3+585*y^2+539*y)*x^2+935*\ny^5+991*y^4+440+201*y^3+98*y^2+638 *y, (985*y^5+120*y^4+462+178*y^3+461*y^2+287\n*y)*x^18+(815*y^5+828*y^ 4+580+794*y^3+432*y^2+828*y)*x^17+(431*y^5+868*y^4+9+\n113*y^3+991*y^2 +38*y)*x^12+(656*y^5+134*y^4+462+488*y^3+30*y^2+342*y)*x^11+(\n118*y^5 +637*y^4+82+101*y^3+335*y^2+75*y)*x^4+(178*y^5+155*y^4+321+371*y^3+446 *\ny^2+446*y)*x, (416*y^5+735*y^4+863+627*y^3+877*y^2+604*y)*x^19+(528 *y^5+930*y^\n4+153+725*y^3+415*y^2+104*y)*x^14+(704*y^5+859*y^4+159+68 *y^3+145*y^2+847*y)*x\n^11+(974*y^5+809*y^4+578+486*y^3+927*y^2+343*y) *x^5+(218*y^5+622*y^4+252+649*y\n^3+78*y^2+805*y)*x^4+476*y^5+407*y^4+ 975+888*y^3+824*y^2+97*y, (33*y^5+715*y^4\n+735+839*y^3+61*y^2+951*y)* x^15+(462*y^5+912*y^4+366+179*y^3+895*y^2+208*y)*x^\n12+(321*y^5+533*y ^4+381+769*y^3+893*y^2+740*y)*x^8+(25*y^5+493*y^4+299+785*y^3\n+311*y^ 2+409*y)*x^7+(917*y^5+730*y^4+884+718*y^3+325*y^2+411*y)*x^6+(552*y^5+ \n802*y^4+925+984*y^3+892*y^2+489*y)*x^4, (90*y^5+46*y^4+906+398*y^3+2 37*y^2+843\n*y)*x^21+(415*y^5+712*y^4+907+58*y^3+89*y^2+440*y)*x^20+(6 64*y^5+598*y^4+343+\n797*y^3+849*y^2+492*y)*x^16+(440*y^5+198*y^4+670+ 841*y^3+571*y^2+586*y)*x^19+(\n257*y^5+9*y^4+331+678*y^3+809*y^2+800*y )*x^9+(85*y^5+20*y^4+594+972*y^3+804*y^\n2+798*y)*x^3]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5404 "G:=[(102*y^5+826*y^4+667+3*y^3+88 1*y^2+969*y)*x^2+(337*y^5+299*y^4+890+609*y^3+\n770*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+\n754+502*y^3+9 12*y^2+386*y)*x^3+(919*y^5+845*y^4+639+103*y^3+778*y^2+492*y)*x^2\n+(2 0*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\n^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\n+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+(\n26*y^5+700*y^4+654+976*y^3+924*y^2+51*y)*x+2 24*y^5+492*y^4+444+887*y^3+825*y^2\n+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+\n203*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+\n603*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+\n960*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 \n+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\n*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+\n88*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*\ny^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\n^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+\n573*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+\n566*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 \n+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+\n268*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+\n283+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+\n656*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^\n2+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+\n108+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+(\n952*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\n^2+30 0*y, (446*y^5+214*y^4+679+677*y^3+265*y^2+308*y)*x^10+(644*y^5+441*y^4 +\n823+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+(\n959*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\n^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+\n889*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+\n271*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+\n481*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+\n697*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\n^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\n+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+\n291+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, (\n390*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+\n744*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+\n450*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+\n123*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\n+751*y^3+638*y 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10+(718*y^5+618*y^4+963+712*y^3+913*y^2\n+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+\n515+912*y^3+85*y^2+2 9*y)*x^4, (47*y^5+330*y^4+962+760*y^3+982*y^2+18*y)*x^18+(\n356*y^5+44 7*y^4+572+527*y^3+123*y^2+98*y)*x^13+(899*y^5+881*y^4+751+829*y^3+\n98 7*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+\n728*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*\ny, (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\n+551*y^2+680*y)*x^11+(661*y^5+600*y^4+713+5 57*y^3+4*y^2+823*y)*x^9+(271*y^5+\n933*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\n*y)*x^2+285*y^5+517*y^4+3 19+732*y^3+407*y^2+869*y, (481*y^5+602*y^4+198+851*y^\n3+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\n+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+\n341*y)*x^7+(77*y^5+704*y^4+571+659*y^3+169*y^2+584*y)*x^6+650*y^5+ 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