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T" }{TEXT 205 18 "\303\266rt\303\251" }{TEXT 205 3 "ne t" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 18 "2. Algebrai alapok" }}} {SECT 1 {PARA 3 "" 0 "" {TEXT 205 7 "3. Norm" }{TEXT 205 8 "\303\241" }{TEXT 205 6 "l form" }{TEXT 205 8 "\303\241" }{TEXT 205 12 "k, reprez ent" }{TEXT 205 18 "\303\241ci\303\263" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 13 "4. Aritmetika" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 205 4 "5 . K" }{TEXT 205 8 "\303\255" }{TEXT 205 9 "nai marad" }{TEXT 205 8 "\3 03\251" }{TEXT 205 3 "kol" }{TEXT 205 8 "\303\241" }{TEXT 205 1 "s" }} }{SECT 1 {PARA 3 "" 0 "" {TEXT 205 14 "6. Newton-iter" }{TEXT 205 8 " \303\241" }{TEXT 205 2 "ci" }{TEXT 205 8 "\303\263" }{TEXT 205 16 ", H ensel-felemel" }{TEXT 205 8 "\303\251" }{TEXT 205 1 "s" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 205 15 "7. Legnagyobb k" }{TEXT 205 8 "\303\266" }{TEXT 205 1 "z" }{TEXT 205 8 "\303\266" }{TEXT 205 6 "s oszt" }{TEXT 205 8 "\303\263" }}{PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.1. P" }{TEXT 206 12 "\303\251lda." }{TEXT 206 1 " " }} {PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "A:=x^8+x^6-3*x^4-3*x^3+8*x^2+2*x-5; B:=3*x^6+5*x^4-4*x^2-9*x+21; " }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\")\"\"\"F(*$)F%\"\"' F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F(F0*&F'F()F%\"\"#F(F(*&F5F(F%F (F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I\"xG6\"\" \"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*&\"\"*F%F'F%F1\"#@F% " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "p:=23; `mod`:=mods; A \+ mod p; B mod p; Rem(%%,%,x) mod p; Rem(%%,%,x) mod p; Rem(%%,%,x) mod \+ p; Rem(%%,%,x) mod p;" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#B" }}{PARA 11 "" 1 "" {XPPMATH 20 "I%modsG%*protectedG" }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\")\"\"\"F(*$)F%\"\"'F(F(*&\"\"$F()F%\"\"% F(!\"\"*&F-F()F%F-F(F0*&F'F()F%\"\"#F(F(*&F5F(F%F(F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I\"xG6\"\"\"'F%F%*&\"\"&F%)F' \"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*&\"\"*F%F'F%F1F0F1" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(*&\"\"#\"\"\")I\"xG6\"\"\"%F%F%*&\"\"&F%)F'F$F%!\"\"\" \")F-" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(*$)I\"xG6\"\"\"#\"\"\"!\"\"*& \"\"*F(F%F(F)F'F(" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&*&\"#5\"\"\"I\"xG 6\"F%F%\"\")!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "!\"%" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.2. P" }{TEXT 206 12 "\303\251lda." }} {EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "A; B; rem(%%,%,x); rem(%%,%,x); rem(%%,%,x); rem (%%,%,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\")\"\"\"F(* $)F%\"\"'F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F(F0*&F'F()F%\"\"#F(F( *&F5F(F%F(F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I \"xG6\"\"\"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*&\"\"*F%F'F %F1\"#@F%" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(#\"\"\"\"\"$!\"\"*&#\"\"& \"\"*F$)I\"xG6\"\"\"%F$F&*&#F$F*F$)F,\"\"#F$F$" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(#\"$T%\"#D\"\"\"*&#\"$<\"F%F&)I\"xG6\"\"\"#F&!\"\"*&\" \"*F&F+F&F." }}{PARA 11 "" 1 "" {XPPMATH 20 ",&#\"'+D5\"%\"f'!\"\"*&# \"']JB\"&t(>\"\"\"I\"xG6\"F+F+" }}{PARA 11 "" 1 "" {XPPMATH 20 "#!+@[u )G\"\"*D#*eV&" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.3. P" } {TEXT 206 12 "\303\251lda." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" " %#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 66 "A; B; rem(3^3*%%,% ,x); rem((-15)^3*%%,%,x); rem(15795^3*%%,%,x);\n" }{MPLTEXT 1 0 31 "re m(1254542875143750^2*%%,%,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I \"xG6\"\"\")\"\"\"F(*$)F%\"\"'F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F (F0*&F'F()F%\"\"#F(F(*&F5F(F%F(F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I\"xG6\"\"\"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\" \"#F%!\"\"*&\"\"*F%F'F%F1\"#@F%" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(\" \"*!\"\"*&\"#:\"\"\")I\"xG6\"\"\"%F'F$*&\"\"$F')F)\"\"#F'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(\"&N&f!\"\"*&\"&&z:\"\"\")I\"xG6\"\"\"#F'F'* &\"&v.$F'F)F'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&\"1+vVQ$3Yl\"!\"\"* &\"1]P9vGaa7\"\"\"I\"xG6\"F'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"D+v= #*>9J45V2]&zQLf7" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.4. P" } {TEXT 206 12 "\303\251lda." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" " %#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 163 "A; B; rem(3^3*%%, %,x); %/igcd(coeffs(%)); rem(5^3*%%%,%,x); %/igcd(coeffs(%)); rem((-13 )^3*%%%,%,x); %/igcd(coeffs(%)); rem((-4663)^2*%%%,%,x); %/igcd(coeffs (%)); " }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\")\"\"\"F(*$)F %\"\"'F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F(F0*&F'F()F%\"\"#F(F(*&F 5F(F%F(F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I\"x G6\"\"\"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*&\"\"*F%F'F%F1 \"#@F%" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(\"\"*!\"\"*&\"#:\"\"\")I\"xG 6\"\"\"%F'F$*&\"\"$F')F)\"\"#F'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ",( \"\"$!\"\"*&\"\"&\"\"\")I\"xG6\"\"\"%F'F$*$)F)\"\"#F'F'" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(\"%0A\"\"\"*&\"$&eF$)I\"xG6\"\"\"#F$!\"\"*&\"%D6F $F(F$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ",(\"#\\\"\"\"*&\"#8F$)I\"xG6 \"\"\"#F$!\"\"*&\"#DF$F(F$F+" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&\"'+vI \"\"\"*&\"']JBF$I\"xG6\"F$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 ",&\"% ]h\"\"\"*&\"%jYF$I\"xG6\"F$!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "!*pQ >V\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "!\"\"" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.5. P" }{TEXT 206 12 "\303\251lda." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "R[0]:=A; R[1]:=B;\n" }{MPLTEXT 1 0 58 "r[1]:=lcoeff(R[1]); de lta[1]:=degree(R[0])-degree(R[1]);\n" }{MPLTEXT 1 0 42 "alpha[1]:=r[1] ^(delta[1]+1); beta[1]:=1;\n" }{MPLTEXT 1 0 40 "R[2]:=rem(alpha[1]*R[0 ],R[1],x)/beta[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\") \"\"\"F(*$)F%\"\"'F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F(F0*&F'F()F% \"\"#F(F(*&F5F(F%F(F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\" $\"\"\")I\"xG6\"\"\"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*& \"\"*F%F'F%F1\"#@F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#F" }} {PARA 11 "" 1 "" {XPPMATH 20 "\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 " ,(\"\"*!\"\"*&\"#:\"\"\")I\"xG6\"\"\"%F'F$*&\"\"$F')F)\"\"#F'F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "r[2]:=lcoeff(R[2]); delta[2] :=degree(R[1])-degree(R[2]);\n" }{MPLTEXT 1 0 49 "alpha[2]:=r[2]^(delt a[2]+1); beta[2]:=alpha[1];\n" }{MPLTEXT 1 0 40 "R[3]:=rem(alpha[2]*R[ 1],R[2],x)/beta[2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "!#:" }}{PARA 11 " " 1 "" {XPPMATH 20 "\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "!%vL" }} {PARA 11 "" 1 "" {XPPMATH 20 "\"#F" }}{PARA 11 "" 1 "" {XPPMATH 20 ",( \"%0A!\"\"*&\"$&e\"\"\")I\"xG6\"\"\"#F'F'*&\"%D6F'F)F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "r[3]:=lcoeff(R[3]); delta[3]:=degre e(R[2])-degree(R[3]);\n" }{MPLTEXT 1 0 49 "alpha[3]:=r[3]^(delta[3]+1) ; beta[3]:=alpha[2];\n" }{MPLTEXT 1 0 40 "R[4]:=rem(alpha[3]*R[2],R[3] ,x)/beta[3];" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"$&e" }}{PARA 11 "" 1 " " {XPPMATH 20 "\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"*D;?+#" }} {PARA 11 "" 1 "" {XPPMATH 20 "!%vL" }}{PARA 11 "" 1 "" {XPPMATH 20 ",& \")+v!\\#\"\"\"*&\")]^))=F$I\"xG6\"F$!\"\"" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 58 "r[4]:=lcoeff(R[4]); delta[4]:=degree(R[3])-degree(R [4]);\n" }{MPLTEXT 1 0 49 "alpha[4]:=r[4]^(delta[4]+1); beta[4]:=alpha [3];\n" }{MPLTEXT 1 0 40 "R[5]:=rem(alpha[4]*R[3],R[4],x)/beta[4];" }} {PARA 11 "" 1 "" {XPPMATH 20 "!)]^))=" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"0+D_!*)[mN" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"*D;?+#" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"*+P$z_" } }}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.6. P" }{TEXT 206 12 "\303 \251lda." }}{EXCHG {PARA 0 "" 0 "" {XPPEDIT 2 0 "" "%#%?G" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "R[0]:=A; R[1]:=B;\n" }{MPLTEXT 1 0 58 "r[1]:=lcoeff(R[1]); delta[1]:=degree(R[0])-degree(R[1]);\n" } {MPLTEXT 1 0 70 "alpha[1]:=r[1]^(delta[1]+1); psi[1]:=-1; beta[1]:=(-1 )^(delta[1]+1);\n" }{MPLTEXT 1 0 40 "R[2]:=rem(alpha[1]*R[0],R[1],x)/b eta[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\")\"\"\"F(*$) F%\"\"'F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F(F0*&F'F()F%\"\"#F(F(*& F5F(F%F(F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I\" xG6\"\"\"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*&\"\"*F%F'F%F 1\"#@F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#F" }}{PARA 11 " " 1 "" {XPPMATH 20 "!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "!\"\"" }} {PARA 11 "" 1 "" {XPPMATH 20 ",(\"\"*\"\"\"*&\"#:F$)I\"xG6\"\"\"%F$F$* &\"\"$F$)F(\"\"#F$!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 " r[2]:=lcoeff(R[2]); delta[2]:=degree(R[1])-degree(R[2]);\n" }{MPLTEXT 1 0 30 "alpha[2]:=r[2]^(delta[2]+1);\n" }{MPLTEXT 1 0 47 "psi[2]:=(-r[ 1])^delta[1]*psi[1]^(1-delta[1]);\n" }{MPLTEXT 1 0 33 "beta[2]:=-r[1]* psi[2]^delta[2];\n" }{MPLTEXT 1 0 40 "R[3]:=rem(alpha[2]*R[1],R[2],x)/ beta[2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#:" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"%vL" }}{PARA 11 "" 1 "" {XPPMATH 20 "!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "!$V#" }} {PARA 11 "" 1 "" {XPPMATH 20 ",(\"$X#!\"\"*&\"#l\"\"\")I\"xG6\"\"\"#F' F'*&\"$D\"F'F)F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "r[3]: =lcoeff(R[3]); delta[3]:=degree(R[2])-degree(R[3]);\n" }{MPLTEXT 1 0 30 "alpha[3]:=r[3]^(delta[3]+1);\n" }{MPLTEXT 1 0 47 "psi[3]:=(-r[2])^ delta[2]*psi[2]^(1-delta[2]);\n" }{MPLTEXT 1 0 33 "beta[3]:=-r[2]*psi[ 3]^delta[3];\n" }{MPLTEXT 1 0 40 "R[4]:=rem(alpha[3]*R[2],R[3],x)/beta [3];" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"#l" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"'DYF" }}{PARA 11 "" 1 "" {XPPMATH 20 "!#D" }}{PARA 11 "" 1 "" {XPPMATH 20 "!%v$*" }} {PARA 11 "" 1 "" {XPPMATH 20 ",&\"&+B\"!\"\"*&\"%E$*\"\"\"I\"xG6\"F'F' " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "r[4]:=lcoeff(R[4]); del ta[4]:=degree(R[3])-degree(R[4]);\n" }{MPLTEXT 1 0 30 "alpha[4]:=r[4]^ (delta[4]+1);\n" }{MPLTEXT 1 0 47 "psi[4]:=(-r[3])^delta[3]*psi[3]^(1- delta[3]);\n" }{MPLTEXT 1 0 33 "beta[4]:=-r[3]*psi[4]^delta[4];\n" } {MPLTEXT 1 0 40 "R[5]:=rem(alpha[4]*R[3],R[4],x)/beta[4];" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"%E$*" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"\"\"" } }{PARA 11 "" 1 "" {XPPMATH 20 "\")wU(p)" }}{PARA 11 "" 1 "" {XPPMATH 20 "!$p\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"&&)4\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "\"'32E" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT 206 8 "E 7.7. 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P" }{TEXT 206 12 "\303\251lda." }} {PARA 0 "" 0 "" {TEXT 201 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 64 "A:=x^8+x^6-3*x^4-3*x^3+8*x^2+2*x-5; B:=3*x^6+5*x^4-4*x^2-9*x+21; " }}{PARA 11 "" 1 "" {XPPMATH 20 ",0*$)I\"xG6\"\"\")\"\"\"F(*$)F%\"\"' F(F(*&\"\"$F()F%\"\"%F(!\"\"*&F-F()F%F-F(F0*&F'F()F%\"\"#F(F(*&F5F(F%F (F(\"\"&F0" }}{PARA 11 "" 1 "" {XPPMATH 20 ",,*&\"\"$\"\"\")I\"xG6\"\" \"'F%F%*&\"\"&F%)F'\"\"%F%F%*&F-F%)F'\"\"#F%!\"\"*&\"\"*F%F'F%F1\"#@F% " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "S0:=SylvesterMatrix(A,B ,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "-I%mrowG6#/I+modulenameG6\"I,Typ esettingGI(_syslibGF'6%-I#miGF$6%Q#S0F'/%'italicGQ%trueF'/%,mathvarian tGQ'italicF'-I#moGF$60Q#:=F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separato rGF=/%)stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF=/%'ac centGF=/%%formGQ&infixF'/%'lspaceGQ/thickmathspaceF'/%'rspaceGFO/%(min sizeGQ\"1F'/%(maxsizeGQ)infinityF'-I(mactionGF$6$-I(mfencedGF$6%-I'mta bleGF$6&-I$mtrGF$6#-I$mtdGF$6#-F#6$-F,6%Q*~14~x~14~F'F/F2-F,6%Q'Matrix F'F/F2-F\\o6#-F_o6#-F#6$-F,6%Q,Data~Type:~F'F/F2-F,6%Q)anythingF'F/F2- F\\o6#-F_o6#-F#6$-F,6%Q*Storage:~F'F/F2-F,6%Q,rectangularF'F/F2-F\\o6# -F_o6#-F#6$-F,6%Q(Order:~F'F/F2-F,6%Q.Fortran_orderF'F/F2/%%openGQ\"[F '/%&closeGQ\"]F'/%+actiontypeGQ-browsertableF'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "Determinant(S0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "\"'32E" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "S1:=SubMatrix (S0,[1..5,7..13],[1..12]):\n" }{MPLTEXT 1 0 201 "S1[1,12]:=x^4*A: S1[2 ,12]:=x^3*A: S1[3,12]:=x^2*A: S1[4,12]:=x*A: S1[5,12]:=A: S1[6,12] :=x^6*B: S1[7,12]:=x^5*B: S1[8,12]:=x^4*B: S1[9,12]:=x^3*B: S1[10,12] :=x^2*B: S1[11,12]:=x*B: S1[12,12]:=B:\n" }{MPLTEXT 1 0 20