{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 141 "q-Kailath-Segall polynomi als, keeping track of the order of the arguments. W are the polynomial s, x are the variables, r are the q-cumulants." }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 16 "W1:=x->x - t*r1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#W1Gf*6#%\"xG6\"6$%)operatorG%&arrowGF(,&9$\"\"\"*&%\"tGF.%#r1 GF.!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "W2:=x2->x 2 - t*r2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#W2Gf*6#%#x2G6\"6$%)ope ratorG%&arrowGF(,&9$\"\"\"*&%\"tGF.%#r2GF.!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "W3:=x3->x3 - t*r3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#W3Gf*6#%#x3G6\"6$%)operatorG%&arrowGF(,&9$\"\" \"*&%\"tGF.%#r3GF.!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "W4:=x4->x4 - t*r4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#W4Gf*6# %#x4G6\"6$%)operatorG%&arrowGF(,&9$\"\"\"*&%\"tGF.%#r4GF.!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "W5:=x5->x5 - t*r5;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#W5Gf*6#%#x5G6\"6$%)operatorG%&arrow GF(,&9$\"\"\"*&%\"tGF.%#r5GF.!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "W11:=(x,x2)->x*W1(x) - t*r2 - W2(x2) - t*r1*W1(x);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W11Gf*6$%\"xG%#x2G6\"6$%)operatorG %&arrowGF),**&9$\"\"\"-%#W1G6#F/F0F0*&%\"tGF0%#r2GF0!\"\"-%#W2G6#9%F7* (F5F0%#r1GF0F1F0F7F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "W11(x,x2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*&%\"xG\"\"\",&F%F&*& %\"tGF&%#r1GF&!\"\"F&F&%#x2GF+*(F)F&F*F&F'F&F+" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 56 "W12:=(x,x2,x3)->x*W2(x2) - t*r3 - W3(x3) - t*r 1*W2(x2); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W12Gf*6%%\"xG%#x2G%#x 3G6\"6$%)operatorG%&arrowGF*,**&9$\"\"\"-%#W2G6#9%F1F1*&%\"tGF1%#r3GF1 !\"\"-%#W3G6#9&F9*(F7F1%#r1GF1F2F1F9F*F*F*" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 21 "expand(W12(x,x2,x3));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,,*&%\"xG\"\"\"%#x2GF&F&*(F%F&%\"tGF&%#r2GF&!\"\"%#x3GF+*(F)F&%# r1GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 134 "Repeated definitions are to keep track of the order of the variab les. Suggestions for a less stupid way of doing this are appreciated. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "W12:=(x,x2,x3)->x1x2-x* t*r2-x3-t*r1*x2+t^2*r1*r2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W12Gf *6%%\"xG%#x2G%#x3G6\"6$%)operatorG%&arrowGF*,,%%x1x2G\"\"\"*(9$F0%\"tG F0%#r2GF0!\"\"9&F5*(F3F0%#r1GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "W13:=(x,x3,x4)->x*W3(x3) - t *r4 - W4(x4) - t*r1*W3(x3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W13G f*6%%\"xG%#x3G%#x4G6\"6$%)operatorG%&arrowGF*,**&9$\"\"\"-%#W3G6#9%F1F 1*&%\"tGF1%#r4GF1!\"\"-%#W4G6#9&F9*(F7F1%#r1GF1F2F1F9F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(W13(x,x3,x4));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,,*&%\"xG\"\"\"%#x3GF&F&*(F%F&%\"tGF&% #r3GF&!\"\"%#x4GF+*(F)F&%#r1GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "W13:=(x,x3,x4)->x1x3-x*t*r3- x4-t*r1*x3+t^2*r1*r3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W13Gf*6%% \"xG%#x3G%#x4G6\"6$%)operatorG%&arrowGF*,,%%x1x3G\"\"\"*(9$F0%\"tGF0%# r3GF0!\"\"9&F5*(F3F0%#r1GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "W14:=(x,x4,x5)->x*W4(x4) - t *r5 - W5(x5) - t*r1*W4(x4);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W14G f*6%%\"xG%#x4G%#x5G6\"6$%)operatorG%&arrowGF*,**&9$\"\"\"-%#W4G6#9%F1F 1*&%\"tGF1%#r5GF1!\"\"-%#W5G6#9&F9*(F7F1%#r1GF1F2F1F9F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(W14(x,x4,x5));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,,*&%\"xG\"\"\"%#x4GF&F&*(F%F&%\"tGF&% #r4GF&!\"\"%#x5GF+*(F)F&%#r1GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "W14:=(x,x4,x5)->x1x4-x*t*r4- x5-t*r1*x4+t^2*r1*r4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W14Gf*6%% \"xG%#x4G%#x5G6\"6$%)operatorG%&arrowGF*,,%%x1x4G\"\"\"*(9$F0%\"tGF0%# r4GF0!\"\"9&F5*(F3F0%#r1GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "W21:=(x,x2,x3)->x2*W1(x) - t *r3 - W3(x3) - t*r2*W1(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W21Gf *6%%\"xG%#x2G%#x3G6\"6$%)operatorG%&arrowGF*,**&9%\"\"\"-%#W1G6#9$F1F1 *&%\"tGF1%#r3GF1!\"\"-%#W3G6#9&F9*(F7F1%#r2GF1F2F1F9F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(W21(x,x2,x3));" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,,*&%\"xG\"\"\"%#x2GF&F&*(F%F&%\"tGF&%#r2GF&!\" \"%#x3GF+*(F)F&%#r1GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "W21:=(x,x2,x3)->x2x1-x*t*r2-x3-t*r1*x2+t^2* r1*r2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W21Gf*6%%\"xG%#x2G%#x3G6 \"6$%)operatorG%&arrowGF*,,%%x2x1G\"\"\"*(9$F0%\"tGF0%#r2GF0!\"\"9&F5* (F3F0%#r1GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 54 "W22:=(x2,x4)->x2*W2(x2) - t*r4 - W4(x4) - t*r2 *W2(x2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W22Gf*6$%#x2G%#x4G6\"6$ %)operatorG%&arrowGF),**&9$\"\"\"-%#W2G6#F/F0F0*&%\"tGF0%#r4GF0!\"\"-% #W4G6#9%F7*(F5F0%#r2GF0F1F0F7F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "expand(W22(x2,x4));" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#,**$)%#x2G\"\"#\"\"\"F(**F'F(F&F(%\"tGF(%#r2GF(!\"\"%#x4GF,*&)F*F'F( )F+F'F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "W23:=(x2,x3,x5 )->x2*W3(x3) - t*r5 - W5(x5) - t*r2*W3(x3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W23Gf*6%%#x2G%#x3G%#x5G6\"6$%)operatorG%&arrowGF*,** &9$\"\"\"-%#W3G6#9%F1F1*&%\"tGF1%#r5GF1!\"\"-%#W5G6#9&F9*(F7F1%#r2GF1F 2F1F9F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "expand(W23(x 2,x3,x5));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,,*&%#x2G\"\"\"%#x3GF&F& *(F%F&%\"tGF&%#r3GF&!\"\"%#x5GF+*(F)F&%#r2GF&F'F&F+*()F)\"\"#F&F.F&F*F &F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "W23:=(x2,x3,x5)->x2x 3-x2*t*r3-x5-t*r2*x3+t^2*r2*r3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$ W23Gf*6%%#x2G%#x3G%#x5G6\"6$%)operatorG%&arrowGF*,,%%x2x3G\"\"\"*(9$F0 %\"tGF0%#r3GF0!\"\"9&F5*(F3F0%#r2GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F* " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "W31:=(x,x3,x4)->x3*W1(x ) - t*r4 - W4(x4) - t*r3*W1(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$ W31Gf*6%%\"xG%#x3G%#x4G6\"6$%)operatorG%&arrowGF*,**&9%\"\"\"-%#W1G6#9 $F1F1*&%\"tGF1%#r4GF1!\"\"-%#W4G6#9&F9*(F7F1%#r3GF1F2F1F9F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(W31(x,x3,x4));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,,*&%\"xG\"\"\"%#x3GF&F&*(F%F&%\"tGF&% #r3GF&!\"\"%#x4GF+*(F)F&%#r1GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "W31:=(x,x3,x4)->x3x1-x*t*r3- x4-t*r1*x3+t^2*r1*r3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W31Gf*6%% \"xG%#x3G%#x4G6\"6$%)operatorG%&arrowGF*,,%%x3x1G\"\"\"*(9$F0%\"tGF0%# r3GF0!\"\"9&F5*(F3F0%#r1GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "W32:=(x2,x3,x4)->x3*W2(x2) - t*r5 - W5(x5) - t*r3*W2(x2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W3 2Gf*6%%#x2G%#x3G%#x4G6\"6$%)operatorG%&arrowGF*,**&9%\"\"\"-%#W2G6#9$F 1F1*&%\"tGF1%#r5GF1!\"\"-%#W5G6#%#x5GF9*(F7F1%#r3GF1F2F1F9F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "expand(W32(x2,x3,x4));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,,*&%#x2G\"\"\"%#x3GF&F&*(F%F&%\"tGF&% #r3GF&!\"\"%#x5GF+*(F)F&%#r2GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "W32:=(x2,x3,x4)->x3x2-x2*t*r 3-x5-t*r2*x3+t^2*r2*r3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W32Gf*6% %#x2G%#x3G%#x4G6\"6$%)operatorG%&arrowGF*,,%%x3x2G\"\"\"*(9$F0%\"tGF0% #r3GF0!\"\"%#x5GF5*(F3F0%#r2GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "W41:=(x,x4,x5)->x4*W1(x) - t *r5 - W5(x5) - t*r4*W1(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W41Gf *6%%\"xG%#x4G%#x5G6\"6$%)operatorG%&arrowGF*,**&9%\"\"\"-%#W1G6#9$F1F1 *&%\"tGF1%#r5GF1!\"\"-%#W5G6#9&F9*(F7F1%#r4GF1F2F1F9F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "expand(W41(x,x4,x5));" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,,*&%\"xG\"\"\"%#x4GF&F&*(F%F&%\"tGF&%#r4GF&!\" \"%#x5GF+*(F)F&%#r1GF&F'F&F+*()F)\"\"#F&F.F&F*F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "W41:=(x,x4,x5)->x4x1-x*t*r4-x5-t*r1*x4+t^2* r1*r4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$W41Gf*6%%\"xG%#x4G%#x5G6 \"6$%)operatorG%&arrowGF*,,%%x4x1G\"\"\"*(9$F0%\"tGF0%#r4GF0!\"\"9&F5* (F3F0%#r1GF09%F0F5*()F3\"\"#F0F8F0F4F0F0F*F*F*" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 106 "W111:=(x,x2,x3)->x*W11(x,x2) - t*r2*W1(x) - q *t*r2*W1(x) - W21(x,x2,x3) - q*W21(x,x2,x3) - t*r1*W11(x,x2);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%%W111Gf*6%%\"xG%#x2G%#x3G6\"6$%)oper atorG%&arrowGF*,.*&9$\"\"\"-%$W11G6$F09%F1F1*(%\"tGF1%#r2GF1-%#W1G6#F0 F1!\"\"**%\"qGF1F7F1F8F1F9F1F<-%$W21G6%F0F59&F<*&F>F1F?F1F<*(F7F1%#r1G F1F2F1F " 0 "" {MPLTEXT 1 0 22 "expand(W1 11(x,x2,x3));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,8*$)%\"xG\"\"$\"\"\" F(**F'F()F&\"\"#F(%\"tGF(%#r1GF(!\"\"*&F&F(%#x2GF(F.**F'F(F&F()F,F+F() F-F+F(F(%%x2x1GF.%#x3GF(**F+F(F,F(F-F(F0F(F(*&%\"qGF(F4F(F.*&F8F(F5F(F (**F8F(F,F(F-F(F0F(F(*&)F,F'F()F-F'F(F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 99 "W111:=(x,x2,x3)->x^3-3*x^2*t*r1-x1x2+3*x*t^2*r1^2-x2x 1+x3+2*t*r1*x2-q*x2x1+q*x3+q*t*r1*x2-t^3*r1^3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%W111Gf*6%%\"xG%#x2G%#x3G6\"6$%)operatorG%&arrowGF*,8 *$)9$\"\"$\"\"\"F3**F2F3)F1\"\"#F3%\"tGF3%#r1GF3!\"\"%%x1x2GF9**F2F3F1 F3)F7F6F3)F8F6F3F3%%x2x1GF99&F3**F6F3F7F3F8F39%F3F3*&%\"qGF3F>F3F9*&FC F3F?F3F3**FCF3F7F3F8F3FAF3F3*&)F7F2F3)F8F2F3F9F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 114 "W112:=(x,x2,x3,x4)->x*W12(x,x2,x3) - t*r 2*W2(x2) - q*t*r3*W1(x) - W22(x2,x4) - q*W31(x,x3,x4) - t*r1*W12(x,x2, x3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W112Gf*6&%\"xG%#x2G%#x3G%#x 4G6\"6$%)operatorG%&arrowGF+,.*&9$\"\"\"-%$W12G6%F19%9&F2F2*(%\"tGF2%# r2GF2-%#W2G6#F6F2!\"\"**%\"qGF2F9F2%#r3GF2-%#W1G6#F1F2F>-%$W22G6$F69'F >*&F@F2-%$W31G6%F1F7FHF2F>*(F9F2%#r1GF2F3F2F>F+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "expand(W112(x,x2,x3,x4));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,@*&%\"xG\"\"\"%%x1x2GF&F&*()F%\"\"#F&%\"tGF&%#r2G F&!\"\"*&F%F&%#x3GF&F-**F%F&F+F&%#r1GF&%#x2GF&F-*,F*F&F%F&)F+F*F&F1F&F ,F&F&*$)F2F*F&F-*(F2F&F+F&F,F&F&%#x4GF&*&%\"qGF&%%x3x1GF&F-*&F:F&F8F&F &**F:F&F+F&F1F&F/F&F&*(F+F&F1F&F'F&F-*(F+F&F1F&F/F&F&*(F4F&)F1F*F&F2F& F&*()F+\"\"$F&FAF&F,F&F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 145 "W112:=(x,x2,x3,x4)->x1x1x2-x^2*t*r2-x1x3-t*r1*x1x2+2*x*t^2*r1*r2- x2^2+x2*t*r2+x4-q*x3x1+q*x4+q*t*r1*x3-t*r1*x1x2+t*r1*x3+t^2*r1^2*x2-t^ 3*r1^2*r2;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W112Gf*6&%\"xG%#x2G%# x3G%#x4G6\"6$%)operatorG%&arrowGF+,>%'x1x1x2G\"\"\"*()9$\"\"#F1%\"tGF1 %#r2GF1!\"\"%%x1x3GF8**F5F1F6F1%#r1GF1%%x1x2GF1F8*,F5F1F4F1)F6F5F1F;F1 F7F1F1*$)9%F5F1F8*(F6F1F7F1FAF1F19'F1*&%\"qGF1%%x3x1GF1F8*&FEF1FCF1F1* *FEF1F6F1F;F19&F1F1*(F6F1F;F1FIF1F1*(F>F1)F;F5F1FAF1F1*()F6\"\"$F1FLF1 F7F1F8F+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 120 "W113:=(x,x 2,x3,x4,x5)->x*W13(x,x3,x4) - t*r2*W3(x3) - q*t*r4*W1(x) - W23(x2,x3,x 5) - q*W41(x,x4,x5) - t*r1*W13(x,x3,x4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W113Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,, .*&9$\"\"\"-%$W13G6%F29&9'F3F3*(%\"tGF3%#r2GF3-%#W3G6#F7F3!\"\"**%\"qG F3F:F3%#r4GF3-%#W1G6#F2F3F?-%$W23G6%9%F79(F?*&FAF3-%$W41G6%F2F8FJF3F?* (F:F3%#r1GF3F4F3F?F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "expand(W113(x,x2,x3,x4,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,@*&% \"xG\"\"\"%%x1x3GF&F&*()F%\"\"#F&%\"tGF&%#r3GF&!\"\"*&F%F&%#x4GF&F-**F %F&F+F&%#r1GF&%#x3GF&F-*,F*F&F%F&)F+F*F&F1F&F,F&F&%%x2x3GF-*(%#x2GF&F+ F&F,F&F&%#x5GF&*&%\"qGF&%%x4x1GF&F-*&F:F&F8F&F&**F:F&F+F&F1F&F/F&F&*(F +F&F1F&F'F&F-*(F+F&F1F&F/F&F&*(F4F&)F1F*F&F2F&F&*()F+\"\"$F&FAF&F,F&F- " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 148 "W113:=(x,x2,x3,x4,x5)- >x1x1x3-x^2*t*r3-x1x4-t*r1*x1x3+2*x*t^2*r1*r3-x2x3+x2*t*r3+x5-q*x4x1+q *x5+q*t*r1*x4-t*r1*x1x3+t*r1*x4+t^2*r1^2*x3-t^3*r1^2*r3;" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#>%%W113Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)oper atorG%&arrowGF,,>%'x1x1x3G\"\"\"*()9$\"\"#F2%\"tGF2%#r3GF2!\"\"%%x1x4G F9**F6F2F7F2%#r1GF2%%x1x3GF2F9*,F6F2F5F2)F7F6F2F " 0 "" {MPLTEXT 1 0 114 "W121:=(x,x2,x3,x4)->x*W21(x ,x2,x3) - t*r3*W1(x) - q*t*r2*W2(x2) - W31(x,x3,x4) - q*W22(x2,x4) - t *r1*W21(x,x2,x3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W121Gf*6&%\"xG %#x2G%#x3G%#x4G6\"6$%)operatorG%&arrowGF+,.*&9$\"\"\"-%$W21G6%F19%9&F2 F2*(%\"tGF2%#r3GF2-%#W1G6#F1F2!\"\"**%\"qGF2F9F2%#r2GF2-%#W2G6#F6F2F>- %$W31G6%F1F79'F>*&F@F2-%$W22G6$F6FHF2F>*(F9F2%#r1GF2F3F2F>F+F+F+" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "expand(W121(x,x2,x3,x4));" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#,>*&%\"xG\"\"\"%%x2x1GF&F&*()F%\"\"#F &%\"tGF&%#r2GF&!\"\"*&F%F&%#x3GF&F-**F%F&F+F&%#r1GF&%#x2GF&F-*,F*F&F%F &)F+F*F&F1F&F,F&F&**%\"qGF&F+F&F,F&F2F&F&%%x3x1GF-%#x4GF&**F*F&F+F&F1F &F/F&F&*&F6F&)F2F*F&F-*&F6F&F8F&F&*(F+F&F1F&F'F&F-*(F4F&)F1F*F&F2F&F&* ()F+\"\"$F&F?F&F,F&F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 139 "W 121:=(x,x2,x3,x4)->x1x2x1-x^2*t*r2-x1x3-t*r1*x1x2+2*x*t^2*r1*r2+q*t*r2 *x2-x3x1+x4+2*t*r1*x3-q*x2^2+q*x4-t*r1*x2x1+t^2*r1^2*x2-t^3*r1^2*r2;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W121Gf*6&%\"xG%#x2G%#x3G%#x4G6\"6 $%)operatorG%&arrowGF+,>%'x1x2x1G\"\"\"*()9$\"\"#F1%\"tGF1%#r2GF1!\"\" %%x1x3GF8*(F6F1%#r1GF1%%x1x2GF1F8*,F5F1F4F1)F6F5F1F;F1F7F1F1**%\"qGF1F 6F1F7F19%F1F1%%x3x1GF89'F1**F5F1F6F1F;F19&F1F1*&F@F1)FAF5F1F8*&F@F1FCF 1F1*(F6F1F;F1%%x2x1GF1F8*(F>F1)F;F5F1FAF1F1*()F6\"\"$F1FLF1F7F1F8F+F+F +" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 118 "W122:=(x,x2,x3,x4,x5) ->x*W22(x2,x4) - t*r3*W2(x2) - q*t*r3*W2(x2) - W32(x2,x3,x5) - q*W32(x 2,x3,x5) - t*r1*W22(x2,x4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W122 Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,.*&9$\"\"\"-% $W22G6$9%9'F3F3*(%\"tGF3%#r3GF3-%#W2G6#F7F3!\"\"**%\"qGF3F:F3F;F3F " 0 "" {MPLTEXT 1 0 28 "expand(W122(x,x2,x3,x4,x5));" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#,>*&%\"xG\"\"\")%#x2G\"\"#F&F&*,F)F&F% F&F(F&%\"tGF&%#r2GF&!\"\"*&F%F&%#x4GF&F-*(F%F&)F+F)F&)F,F)F&F&%%x3x2GF -%#x5GF&*(F+F&F,F&%#x3GF&F&*&%\"qGF&F3F&F-*&F8F&F4F&F&**F8F&F+F&F,F&F6 F&F&*(F+F&%#r1GF&F'F&F-*,F)F&F1F&F " 0 "" {MPLTEXT 1 0 141 "W122:=( x,x2,x3,x4,x5)->x1x2x2-2*x1x2*t*r2-x1x4+x*t^2*r2^2-x3x2+x5+t*r2*x3-q*x 3x2+q*x5+q*t*r2*x3-t*r1*x2^2+2*t^2*r1*x2*r2+t*r1*x4-t^3*r1*r2^2;" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W122Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6 \"6$%)operatorG%&arrowGF,,>%'x1x2x2G\"\"\"**\"\"#F2%%x1x2GF2%\"tGF2%#r 2GF2!\"\"%%x1x4GF8*(9$F2)F6F4F2)F7F4F2F2%%x3x2GF89(F2*(F6F2F7F29&F2F2* &%\"qGF2F>F2F8*&FCF2F?F2F2**FCF2F6F2F7F2FAF2F2*(F6F2%#r1GF2)9%F4F2F8*, F4F2F " 0 "" {MPLTEXT 1 0 120 "W131:=(x,x2,x3,x4,x5)->x*W 31(x,x3,x4) - t*r4*W1(x) - q*t*r2*W3(x3) - W41(x,x4,x5) - q*W23(x2,x3, x5) - t*r1*W31(x,x3,x4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W131Gf* 6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,.*&9$\"\"\"-%$W3 1G6%F29&9'F3F3*(%\"tGF3%#r4GF3-%#W1G6#F2F3!\"\"**%\"qGF3F:F3%#r2GF3-%# W3G6#F7F3F?-%$W41G6%F2F89(F?*&FAF3-%$W23G6%9%F7FIF3F?*(F:F3%#r1GF3F4F3 F?F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "expand(W131(x,x 2,x3,x4,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,>*&%\"xG\"\"\"%%x3x1 GF&F&*()F%\"\"#F&%\"tGF&%#r3GF&!\"\"*&F%F&%#x4GF&F-**F%F&F+F&%#r1GF&%# x3GF&F-*,F*F&F%F&)F+F*F&F1F&F,F&F&%%x4x1GF-%#x5GF&**F*F&F+F&F1F&F/F&F& *&%\"qGF&%%x2x3GF&F-**F9F&F+F&F,F&%#x2GF&F&*&F9F&F6F&F&*(F+F&F1F&F'F&F -*(F4F&)F1F*F&F2F&F&*()F+\"\"$F&F@F&F,F&F-" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 142 "W131:=(x,x2,x3,x4,x5)->x1x3x1-x^2*t*r3-x1x4-t*r1*x 1x3+2*x*t^2*r1*r3-x4x1+x5+2*t*r1*x4-q*x2x3+q*t*r3*x2+q*x5-t*r1*x3x1+t^ 2*r1^2*x3-t^3*r1^2*r3;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W131Gf*6' %\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,>%'x1x3x1G\"\"\"*( )9$\"\"#F2%\"tGF2%#r3GF2!\"\"%%x1x4GF9*(F7F2%#r1GF2%%x1x3GF2F9*,F6F2F5 F2)F7F6F2F " 0 "" {MPLTEXT 1 0 90 "W211:=(x,x2,x3,x4)->x2*W11(x,x2) - (1+q)*t*r3*W1(x) - (1+q)*W31(x,x3,x4) - t*r2*W11(x,x2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%W211Gf*6&%\"xG%#x2G%#x3G%#x4G6\"6$%)operatorG%&arrowGF+,**&9%\" \"\"-%$W11G6$9$F1F2F2**,&F2F2%\"qGF2F2%\"tGF2%#r3GF2-%#W1G6#F6F2!\"\"* &F8F2-%$W31G6%F69&9'F2F?*(F:F2%#r2GF2F3F2F?F+F+F+" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 25 "expand(W211(x,x2,x3,x4));" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#,>*&%#x2G\"\"\")%\"xG\"\"#F&F&*,F)F&F(F&%\"tGF&%#r1GF &F%F&!\"\"*$)F%F)F&F-*()F+F)F&)F,F)F&F%F&F&%%x3x1GF-%#x4GF&*(F+F&F,F&% #x3GF&F&*&%\"qGF&F3F&F-*&F8F&F4F&F&**F8F&F+F&F,F&F6F&F&*(F'F&F+F&%#r2G F&F-*,F)F&F(F&F1F&F,F&F " 0 "" {MPLTEXT 1 0 137 "W211:=(x,x2,x3,x4)->x2x1x1 -2*x2x1*t*r1-x2^2+t^2*r1^2*x2-x3x1+x4+t*r1*x3-q*x3x1+q*x4+q*t*r1*x3-x^ 2*t*r2+2*x*t^2*r1*r2+x2*t*r2-t^3*r1^2*r2;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W211Gf*6&%\"xG%#x2G%#x3G%#x4G6\"6$%)operatorG%&arrow GF+,>%'x2x1x1G\"\"\"**\"\"#F1%\"tGF1%#r1GF1%%x2x1GF1!\"\"*$)9%F3F1F7*( )F4F3F1)F5F3F1F:F1F1%%x3x1GF79'F1*(F4F1F5F19&F1F1*&%\"qGF1F>F1F7*&FCF1 F?F1F1**FCF1F4F1F5F1FAF1F1*()9$F3F1F4F1%#r2GF1F7*,F3F1FHF1F \+ " 0 "" {MPLTEXT 1 0 121 "W212:=(x,x2,x3,x4,x5)->x2*W12(x,x2,x3) - t*r3 *W2(x2) - q*t*r4*W1(x) - W32(x2,x3,x5) - q*W41(x,x4,x5) - t*r2*W12(x,x 2,x3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W212Gf*6'%\"xG%#x2G%#x3G% #x4G%#x5G6\"6$%)operatorG%&arrowGF,,.*&9%\"\"\"-%$W12G6%9$F29&F3F3*(% \"tGF3%#r3GF3-%#W2G6#F2F3!\"\"**%\"qGF3F:F3%#r4GF3-%#W1G6#F7F3F?-%$W32 G6%F2F89(F?*&FAF3-%$W41G6%F79'FIF3F?*(F:F3%#r2GF3F4F3F?F,F,F," }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "expand(W212(x,x2,x3,x4,x5)); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,>*&%#x2G\"\"\"%%x1x2GF&F&**%\"xGF &F%F&%\"tGF&%#r2GF&!\"\"*&F%F&%#x3GF&F,*(F*F&%#r1GF&)F%\"\"#F&F,*,F2F& )F*F2F&F0F&F%F&F+F&F&%%x3x2GF,%#x5GF&**F2F&F*F&F+F&F.F&F&*&%\"qGF&%%x4 x1GF&F,*&F9F&F6F&F&**F9F&F*F&F0F&%#x4GF&F&*(F'F&F*F&F+F&F,*(F)F&F4F&)F +F2F&F&*()F*\"\"$F&F0F&F@F&F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 143 "W212:=(x,x2,x3,x4,x5)->x2x1x2-x2x1*t*r2-x2x3-t*r1*x2^2+2*t^2*r1 *x2*r2-x3x2+x5+2*t*r2*x3-q*x4x1+q*x5+q*t*r1*x4-x1x2*t*r2+x*t^2*r2^2-t^ 3*r1*r2^2;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W212Gf*6'%\"xG%#x2G%# x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,>%'x2x1x2G\"\"\"*(%%x2x1GF2%\" tGF2%#r2GF2!\"\"%%x2x3GF7*(F5F2%#r1GF2)9%\"\"#F2F7*,F=F2)F5F=F2F:F2F " 0 "" {MPLTEXT 1 0 121 "W 221:=(x,x2,x3,x4,x5)->x2*W21(x,x2,x3) - t*r4*W1(x) - q*t*r3*W2(x2) - W 41(x,x4,x5) - q*W32(x2,x3,x5) - t*r2*W21(x,x2,x3);" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%%W221Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG %&arrowGF,,.*&9%\"\"\"-%$W21G6%9$F29&F3F3*(%\"tGF3%#r4GF3-%#W1G6#F7F3! \"\"**%\"qGF3F:F3%#r3GF3-%#W2G6#F2F3F?-%$W41G6%F79'9(F?*&FAF3-%$W32G6% F2F8FJF3F?*(F:F3%#r2GF3F4F3F?F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "expand(W221(x,x2,x3,x4,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,@*&%#x2G\"\"\"%%x2x1GF&F&**%\"xGF&F%F&%\"tGF&%#r2GF&! \"\"*&F%F&%#x3GF&F,*(F*F&%#r1GF&)F%\"\"#F&F,*,F2F&)F*F2F&F0F&F%F&F+F&F &%%x4x1GF,%#x5GF&*(F*F&F0F&%#x4GF&F&*&%\"qGF&%%x3x2GF&F,*&F:F&F6F&F&** F:F&F*F&F+F&F.F&F&*(F'F&F*F&F+F&F,*(F)F&F4F&)F+F2F&F&*(F*F&F+F&F.F&F&* ()F*\"\"$F&F0F&F@F&F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 149 "W 221:=(x,x2,x3,x4,x5)->x2x2x1-x2x1*t*r2-x2x3-t*r1*x2^2+2*t^2*r1*x2*r2-x 4x1+x5+t*r1*x4-q*x3x2+q*x5+q*t*r2*x3-x2x1*t*r2+x*t^2*r2^2+t*r2*x3-t^3* r1*r2^2;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W221Gf*6'%\"xG%#x2G%#x3 G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,>%'x2x2x1G\"\"\"**\"\"#F2%%x2x1G F2%\"tGF2%#r2GF2!\"\"%%x2x3GF8*(F6F2%#r1GF2)9%F4F2F8*,F4F2)F6F4F2F;F2F =F2F7F2F2%%x4x1GF89(F2*(F6F2F;F29'F2F2*&%\"qGF2%%x3x2GF2F8*&FEF2FAF2F2 **FEF2F6F2F7F29&F2F2*(9$F2F?F2)F7F4F2F2*(F6F2F7F2FIF2F2*()F6\"\"$F2F;F 2FLF2F8F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "W311:=(x, x2,x3,x4,x5)->x3*W11(x,x2) - t*r4*W1(x) - q*t*r4*W1(x) - W41(x,x4,x5) \+ - q*W41(x,x4,x5) - t*r3*W11(x,x2);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6# >%%W311Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,.*&9& \"\"\"-%$W11G6$9$9%F3F3*(%\"tGF3%#r4GF3-%#W1G6#F7F3!\"\"**%\"qGF3F:F3F ;F3F " 0 "" {MPLTEXT 1 0 28 "expand(W311(x,x2,x3,x4,x5)); " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,>*&%#x3G\"\"\")%\"xG\"\"#F&F&*,F) F&F(F&%\"tGF&%#r1GF&F%F&!\"\"*&%#x2GF&F%F&F-*()F+F)F&)F,F)F&F%F&F&%%x4 x1GF-%#x5GF&*(F+F&F,F&%#x4GF&F&*&%\"qGF&F3F&F-*&F8F&F4F&F&**F8F&F+F&F, F&F6F&F&*(F'F&F+F&%#r3GF&F-*,F)F&F(F&F1F&F,F&F " 0 "" {MPLTEXT 1 0 140 "W31 1:=(x,x2,x3,x4,x5)->x3x1x1-2*x3x1*t*r1-x3x2+t^2*r1^2*x3-x4x1+x5+t*r1*x 4-q*x4x1+q*x5+q*t*r1*x4-x^2*t*r3+2*x*t^2*r1*r3+x2*t*r3-t^3*r1^2*r3;" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%W311Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G 6\"6$%)operatorG%&arrowGF,,>%'x3x1x1G\"\"\"**\"\"#F2%\"tGF2%#r1GF2%%x3 x1GF2!\"\"%%x3x2GF8*()F5F4F2)F6F4F29&F2F2%%x4x1GF89(F2*(F5F2F6F29'F2F2 *&%\"qGF2F>F2F8*&FCF2F?F2F2**FCF2F5F2F6F2FAF2F2*()9$F4F2F5F2%#r3GF2F8* ,F4F2FHF2F;F2F6F2FIF2F2*(9%F2F5F2FIF2F2*()F5\"\"$F2F " 0 "" {MPLTEXT 1 0 114 "W1111:=(x,x2,x3,x4)->x*W1 11(x,x2,x3) - (1+q+q^2)*t*r2*W11(x,x2) - (1+q+q^2)*W211(x,x2,x3,x4) - \+ t*r1*W111(x,x2,x3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1111Gf*6&% \"xG%#x2G%#x3G%#x4G6\"6$%)operatorG%&arrowGF+,**&9$\"\"\"-%%W111G6%F19 %9&F2F2**,(F2F2%\"qGF2*$)F:\"\"#F2F2F2%\"tGF2%#r2GF2-%$W11G6$F1F6F2!\" \"*&F9F2-%%W211G6&F1F6F79'F2FC*(F>F2%#r1GF2F3F2FCF+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "expand(W1111(x,x2,x3,x4));" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#,fo*()%\"xG\"\"$\"\"\"%\"tGF(%#r1GF(! \"%*(F&F(%\"qGF(%#x3GF(F(**\"\"'F()F&\"\"#F()F)F2F()F*F2F(F(*(F&F(F-F( %%x2x1GF(!\"\"**F'F(F)F(F*F(F6F(F(**F2F(F)F(F*F(F.F(F7**F'F(F3F(F4F(%# x2GF(F7**\"\"%F(F&F()F)F'F()F*F'F(F7*&F&F(%%x1x2GF(F7%%x3x1GF(*(F)F(F* F(FAF(F(*(F2F(F-F(FBF(F(*&F&F(F.F(F(%#x4GF7*,F2F(F&F(F)F(F*F(F;F(F(*,F 'F(F-F(F)F(F*F(F.F(F7*$)F;F2F(F(*(F2F(F-F(FFF(F7*&F&F(F6F(F7*&F-F(FJF( F(%'x2x1x1GF7*&F-F(FNF(F7*(F2F()F-F2F(FBF(F(*(F2F(FQF(FFF(F7*&FQF(FNF( F7*&FQF(FJF(F(*&)F-F'F(FBF(F(*&FVF(FFF(F7*&)F)F=F()F*F=F(F(*$)F&F=F(F( *,F2F(FQF(F)F(F*F(F.F(F7*,F2F(FQF(F)F(F*F(F6F(F(**FQF(F3F(F4F(F;F(F7** FVF(F)F(F*F(F.F(F7*,F'F(F-F(F)F(F*F(F6F(F(*,F2F(F-F(F3F(F4F(F;F(F7*,F& F(F-F(F)F(F*F(F;F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 396 "W1 111:=(x,x2,x3,x4)->-2*t*r1*x3 +3*t*r1*x2x1 -3*t^2*r1^2*x2 -4*x*t^3*r1^ 3 +q*x1x3 -q*x1x2x1 +6*x^2*t^2*r1^2 +t*r1*x1x2 -4*x^3*t*r1 +q*t*r1*x1x 2-x1x2x1+x1x3-x4-3*q*t*r1*x3+x2^2+x3x1-x1x1x2+2*t*r1*x1x2+2*q*x3x1-2*q *x4+q*x2^2-2*q^2*t*r1*x3+2*q^2*t*r1*x2x1-q^2*t^2*r1^2*x2-q^3*t*r1*x3+3 *q*t*r1*x2x1-2*q*t^2*r1^2*x2-x2x1x1-q*x2x1x1+2*q^2*x3x1-2*q^2*x4-q^2*x 2x1x1+q^2*x2^2+q^3*x3x1-q^3*x4+t^4*r1^4+x^4;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1111Gf*6&%\"xG%#x2G%#x3G%#x4G6\"6$%)operatorG%&arro wGF+,do*()%\"tG\"\"#\"\"\")%#r1GF3F49%F4!\"$**F3F4F2F4F6F49&F4!\"\"** \"\"%F4)9$\"\"$F4F2F4F6F4F;**\"\"'F4)F?F3F4F1F4F5F4F4**F=F4F?F4)F2F@F4 )F6F@F4F;**F@F4F2F4F6F4%%x2x1GF4F4*&%\"qGF4)F7F3F4F4%%x3x1GF4**F@F4F2F 4F6F4%%x1x2GF4F4*(F3F4FJF4FLF4F4%%x1x3GF4*,F@F4FJF4F2F4F6F4F:F4F;%'x1x 1x2GF;*(F3F4FJF49'F4F;*$FKF4F4FTF;%'x1x2x1GF;%'x2x1x1GF;*&FJF4FWF4F;*( F3F4)FJF3F4FLF4F4*&FZF4FWF4F;*&)FJF@F4FLF4F4*&)F2F=F4)F6F=F4F4*&FJF4FP F4F4*&FJF4FVF4F;*&FZF4FKF4F4*&FgnF4FTF4F;*(F3F4FZF4FTF4F;*$)F?F=F4F4*, F3F4FZF4F2F4F6F4FHF4F4*,F@F4FJF4F2F4F6F4FHF4F4**FJF4F2F4F6F4FNF4F4**FZ F4F1F4F5F4F7F4F;**FgnF4F2F4F6F4F:F4F;*,F3F4FZF4F2F4F6F4F:F4F;*,F3F4FJF 4F1F4F5F4F7F4F;F+F+F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 168 "W 1112:=(x,x2,x3,x4,x5)->x*W112(x,x2,x3,x4) - (1+q)*t*r2*W12(x,x2,x3) - \+ q^2*t*r3*W11(x,x2) - (1+q)*W212(x,x2,x3,x4,x5) - q^2*W311(x,x2,x3,x4,x 5) - t*r1*W112(x,x2,x3,x4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W111 2Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,.*&9$\"\"\"- %%W112G6&F29%9&9'F3F3**,&F3F3%\"qGF3F3%\"tGF3%#r2GF3-%$W12G6%F2F7F8F3! \"\"**)F<\"\"#F3F=F3%#r3GF3-%$W11G6$F2F7F3FB*&F;F3-%%W212G6'F2F7F8F99( F3FB*&FDF3-%%W311GFMF3FB*(F=F3%#r1GF3F4F3FBF,F,F," }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 29 "expand(W1112(x,x2,x3,x4,x5));" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#,bq*(%%x2x1G\"\"\"%\"tGF&%#r2GF&F&*()F'\"\"#F&)% #r1GF+F&%#x3GF&!\"\"*(F'F&F-F&%%x1x3GF&F&*(F'F&F-F&%'x1x1x2GF&F/*()F' \"\"%F&)F-\"\"$F&F(F&F&*()F'F8F&F7F&%#x2GF&F/*(%\"xGF&%\"qGF&%%x3x1GF& F/*()F=F8F&F'F&F(F&F/**F+F&F'F&F-F&)F;F+F&F&**F+F&F*F&F,F&%%x1x2GF&F&* (F'F&F(F&F.F&F/*&F=F&F1F&F/*(F=F&F>F&%#x4GF&F&%%x2x3GF&*&F>F&%%x3x2GF& F&*(F'F&F-F&FIF&F/*&F>F&%%x4x1GF&F&*&F=F&FIF&F&%#x5GF/**F=F&F'F&F-F&F. F&F&*,F+F&F>F&F'F&F-F&FIF&F/**F=F&F;F&F'F&F(F&F&**F>F&F'F&F(F&F.F&F/*, F+F&F*F&F-F&F;F&F(F&F/FLF&*(F+F&F>F&FQF&F/*&F=F&FCF&F/*&F>F&FJF&F&%'x2 x1x2GF/*,F8F&)F=F+F&F*F&F-F&F(F&F&*,F+F&F=F&F'F&F-F&FEF&F/**F=F&F*F&F, F&F;F&F&*,F8F&F=F&F:F&F,F&F(F&F/*,F+F&)F>F+F&F'F&F-F&FIF&F/**F>F&F%F&F 'F&F(F&F&**F>F&F'F&F-F&FCF&F&*,F+F&F[oF&F'F&F-F&F?F&F&**F[oF&F*F&F,F&F .F&F/**)F>F8F&F'F&F-F&FIF&F/**F'F&F-F&F>F&F?F&F&**F*F&F,F&F>F&F.F&F/*& F=F&F3F&F&*&F>F&FZF&F/*(F+F&F[oF&FOF&F&*(F+F&F[oF&FQF&F/*&F[oF&%'x3x1x 1GF&F/*&F[oF&FLF&F&*&FaoF&FOF&F&*&FaoF&FQF&F/*,F=F&F>F&F'F&F-F&F.F&F&* ,F*F&F(F&F>F&F-F&F;F&F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 560 "W1112:=(x,x2,x3,x4,x5)->x2x1*t*r2 -t^2*r1^2*x3 -t*r1*x1x1x2 +t^4*r1^3 *r2 -t^3*r1^3*x2 +2*t^2*r1^2*x1x2 +q*x1x4-q*x1x3x1-x^3*t*r2-t*r2*x3+x3 x2+t*r1*x1x3+2*t*r1*x2^2+q*x2x3-t*r1*x4+q*x3x2-t^2*r2*q*r1*x2+q*t*r1*x 1x3+x2x3-x1x1x3+x1x4-x5+t*r1*x1x3-2*q*t*r1*x4+x1x2*t*r2-q*t*r2*x3-2*t^ 2*r1*x2*r2+q*x4x1-2*q*x5-x1x2x2-x2x1x2+x1x1x1x2-q*x2x1x2+2*q^2*x4x1-2* q^2*x5-q^2*x3x1x1+q^2*x3x2+q^3*x4x1-q^3*x5+3*x^2*t^2*r1*r2-2*t*r1*x1x1 x2+t^2*r1^2*x1x2-3*x*t^3*r1^2*r2-2*q^2*t*r1*x4+q*x2x1*t*r2+q*t*r1*x2^2 +2*q^2*t*r1*x3x1-q^2*t^2*r1^2*x3-q^3*t*r1*x4+t*r1*q*x3x1-t^2*r1^2*q*x3 ;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1112Gf*6'%\"xG%#x2G%#x3G%#x4G %#x5G6\"6$%)operatorG%&arrowGF,,\\q*(%%x2x1G\"\"\"%\"tGF3%#r2GF3F3**\" \"#F3F4F3%#r1GF3%%x1x3GF3F3*()9$\"\"$F3F4F3F5F3!\"\"*()F4F=F3)F8F=F39% F3F>**F=F3F4F3F8F3%'x1x1x2GF3F>*()F4\"\"%F3FAF3F5F3F3**F=F3)F4F7F3)F8F 7F3%%x1x2GF3F3*(FIF3FJF39&F3F>*(FKF3F4F3F5F3F3*,F7F3)%\"qGF7F3F4F3F8F3 9'F3F>%%x2x3GF3**F7F3F4F3F8F3)FBF7F3F3*(F4F3F8F3FRF3F>*&FQF3%%x3x2GF3F 3*(F4F3F5F3FMF3F>*,F=F3F%%x1x4GF3*&FQF3%%x4x1GF3F3*,F 7F3FQF3F4F3F8F3FRF3F>**FQF3F4F3F5F3FMF3F>*,F7F3FIF3F8F3FBF3F5F3F>FXF39 (F>%'x1x1x3GF>*(F7F3FQF3F[oF3F>%'x1x2x2GF>*&FQF3FSF3F3%)x1x1x1x2GF3%'x 2x1x2GF>**FQF3F2F3F4F3F5F3F3*,F7F3FPF3F4F3F8F3%%x3x1GF3F3**F4F3F8F3FQF 3FdoF3F3**FQF3F4F3F8F3F9F3F3**FQF3F4F3F8F3FUF3F3**FPF3FIF3FJF3FMF3F>** )FQF=F3F4F3F8F3FRF3F>**FIF3FJF3FQF3FMF3F>*,F=F3)F*(F7F3FPF3FgnF3F3*&FPF3%'x3x1x1GF3F>*&FPF3FXF3F3*&FjoF3FgnF 3F3*&FQF3FenF3F3*&FQF3%'x1x3x1GF3F>*&FjoF3F[oF3F>*(F7F3FPF3F[oF3F>*,FI F3F5F3FQF3F8F3FBF3F>F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 202 "W1121:=(x,x2,x3,x4,x5)->x*W121(x,x2,x3,x4) - t*r2*W21(x,x2,x3) - \+ q*t*r3*W11(x,x2) - q^2*t*r2*W12(x,x2,x3) - W221(x,x2,x3,x4,x5) - q*W31 1(x,x2,x3,x4,x5) - q^2*W212(x,x2,x3,x4,x5) - t*r1*W121(x,x2,x3,x4);" } }{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1121Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5 G6\"6$%)operatorG%&arrowGF,,2*&9$\"\"\"-%%W121G6&F29%9&9'F3F3*(%\"tGF3 %#r2GF3-%$W21G6%F2F7F8F3!\"\"**%\"qGF3F;F3%#r3GF3-%$W11G6$F2F7F3F@**)F B\"\"#F3F;F3F \+ " 0 "" {MPLTEXT 1 0 29 "expand(W1121(x,x2,x3,x4,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,fq*(%%x2x1G\"\"\"%\"tGF&%#r2GF&F&**\"\"#F&)F'F*F& )%#r1GF*F&%#x3GF&!\"\"*(F'F&F-F&%%x1x3GF&F&*(F'F&F-F&%'x1x2x1GF&F/*(F+ F&F,F&F%F&F&*(%\"xGF&%\"qGF&)%#x2GF*F&F/*()F'\"\"%F&)F-\"\"$F&F(F&F&*( )F'F>F&F=F&F9F&F/*()F6F>F&F'F&F(F&F/*(F'F&F-F&F8F&F&*,F6F&F7F&F'F&F(F& F9F&F&*(F+F&F,F&%%x1x2GF&F&*(F'F&F-F&%%x3x1GF&F&*&F6F&F1F&F/*(F6F&F7F& %#x4GF&F&%%x2x3GF&*(F*F&F7F&%%x3x2GF&F&**F*F&F'F&F-F&FKF&F/*&F6F&FHF&F /*,)F7F*F&F+F&F(F&F-F&F9F&F/*&F7F&%%x4x1GF&F&FTF&*&F6F&FKF&F&%#x5GF/*, F*F&F6F&F'F&F-F&F.F&F&*,F*F&F7F&F'F&F-F&FKF&F/**F7F&F'F&F(F&F.F&F/**F+ F&F-F&F9F&F(F&F/*(F*F&F7F&FVF&F/%'x2x2x1GF/*,F>F&)F6F*F&F+F&F-F&F(F&F& **F6F&F'F&F-F&FFF&F/**F6F&F+F&F,F&F9F&F&*,F>F&F6F&F@F&F,F&F(F&F/**FRF& F'F&F-F&FKF&F/**F7F&F'F&F-F&F8F&F&**)F7F>F&F'F&F-F&FKF&F/*,F*F&F'F&F-F &F7F&FHF&F&**F+F&F,F&F7F&F.F&F/*&FRF&FTF&F&*(F*F&FRF&FVF&F/*&FRF&FNF&F &*&F_oF&FTF&F&*&F_oF&FVF&F/*&F6F&F3F&F&*&F7F&%'x3x1x1GF&F/*&FRF&%'x2x1 x2GF&F/*&FRF&FLF&F&*,F+F&F(F&F7F&F-F&F9F&F/**F6F&F'F&F-F&F%F&F/**FRF&F 'F&F(F&F.F&F/**FRF&F%F&F'F&F(F&F&**FRF&F'F&F-F&F8F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 585 "W1121:=(x,x2,x3,x4,x5)->x2x1*t*r2+ t*r1*x3x1-2*t^2*r1^2*x3+t^4*r1^3*r2-t^3*r1^3*x2+t^2*r1^2*x1x2+q*x1x4-x ^3*t*r2-q*x1x2x2-t*r1*x1x2x1+t^2*r1^2*x2x1+t*r1*x1x3+t*r1*x2^2-2*t*r1* x4-x1x3x1+2*q*x3x2-t^2*r2*q*r1*x2+x2x3-x1x1x3+q*t*r2*x1x2+x1x4-x5+2*t* r1*x1x3-2*q*t*r1*x4-q*t*r2*x3-t^2*r1*x2*r2+x4x1+q*x4x1-2*q*x5-x2x2x1+q ^2*x4x1-2*q^2*x5+q^2*x3x2+q^3*x4x1-q^3*x5+3*x^2*t^2*r1*r2-t*r1*x1x1x2+ t^2*r1^2*x1x2-3*x*t^3*r1^2*r2-q^2*t*r1*x4+q*t*r1*x2^2-q^3*t*r1*x4+2*t* r1*q*x3x1-t^2*r1^2*q*x3-t*r1*x1x2x1-q^2*t*r2*x3+q^2*x2x1*t*r2+q^2*t*r1 *x2^2+x1x1x2x1-q*x3x1x1-q^2*x2x1x2+q^2*x2x3-q^2*t^2*r2*r1*x2;" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1121Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G 6\"6$%)operatorG%&arrowGF,,`q*(%%x2x1G\"\"\"%\"tGF3%#r2GF3F3**\"\"$F3F 4F3%#r1GF3%%x1x3GF3F3**\"\"#F3F4F3F8F3%'x1x2x1GF3!\"\"*()F4F;F3)F8F;F3 F2F3F3*()9$F7F3F4F3F5F3F=*()F4F7F3)F8F7F39%F3F=*(F4F3F8F3%'x1x1x2GF3F= *()F4\"\"%F3FFF3F5F3F3**F;F3F?F3F@F3%%x1x2GF3F3*(F4F3F8F3%%x3x1GF3F3** F;F3F?F3F@F39&F3F=**)%\"qGF;F3F4F3F8F39'F3F=%%x2x3GF3*(F4F3F8F3)FGF;F3 F3**F;F3F4F3F8F3FVF3F=*(F;F3FUF3%%x3x2GF3F3*,F7F3FCF3FEF3F@F3F5F3F=%%x 1x4GF3*&FUF3%%x4x1GF3F3FjnF3*,F;F3FUF3F4F3F8F3FVF3F=**FUF3F4F3F5F3FRF3 F=**F?F3F8F3FGF3F5F3F=9(F=%'x1x1x3GF=*(F;F3FUF3F^oF3F=%'x1x3x1GF=%)x1x 1x2x1GF3%'x2x2x1GF=**F4F3F5F3FUF3FNF3F3*,F;F3F4F3F8F3FUF3FPF3F3**FUF3F 4F3F8F3FYF3F3**)FUF7F3F4F3F8F3FVF3F=**F?F3F@F3FUF3FRF3F=*,F7F3)FCF;F3F ?F3F8F3F5F3F3*&FTF3FjnF3F3*&FTF3FfnF3F3*&FhoF3FjnF3F3*&FUF3FhnF3F3*&Fh oF3F^oF3F=*(F;F3FTF3F^oF3F=*&FUF3%'x3x1x1GF3F=*&FTF3%'x2x1x2GF3F=*&FTF 3FWF3F3*&FUF3%'x1x2x2GF3F=*,F?F3F5F3FUF3F8F3FGF3F=**FTF3F2F3F4F3F5F3F3 **FTF3F4F3F5F3FRF3F=**FTF3F4F3F8F3FYF3F3*,FTF3F?F3F5F3F8F3FGF3F=F,F,F, " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 164 "W1211:=(x,x2,x3,x4,x5) ->x*W211(x,x2,x3,x4) - t*r3*W11(x,x2) - (q+q^2)*t*r2*W21(x,x2,x3) - W3 11(x,x2,x3,x4,x5) - (q+q^2)*W221(x,x2,x3,x4,x5) - t*r1*W211(x,x2,x3,x4 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1211Gf*6'%\"xG%#x2G%#x3G%#x4 G%#x5G6\"6$%)operatorG%&arrowGF,,.*&9$\"\"\"-%%W211G6&F29%9&9'F3F3*(% \"tGF3%#r3GF3-%$W11G6$F2F7F3!\"\"**,&%\"qGF3*$)FC\"\"#F3F3F3F;F3%#r2GF 3-%$W21G6%F2F7F8F3F@-%%W311G6'F2F7F8F99(F@*&FBF3-%%W221GFMF3F@*(F;F3%# r1GF3F4F3F@F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "expand (W1211(x,x2,x3,x4,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,`q*()%\"tG \"\"#\"\"\")%#r1GF'F(%#x3GF(!\"#*(F&F(F*F(%'x2x1x1GF(!\"\"**F'F(F%F(F) F(%%x2x1GF(F(*()F&\"\"%F()F*\"\"$F(%#r2GF(F(*()F&F6F(F5F(%#x2GF(F/*(% \"xGF(%\"qGF(%%x3x1GF(F/*()FF(F(*(FF(F/*,)F=F' F(F%F(F7F(F*F(F:F(F/*&F=F(%'x2x2x1GF(F/*(F'F(F=F(%%x4x1GF(F(FMF(*&FF(F(**F%F(F)F(F=F(F+F(F/*&FIF(FMF(F(*(F'F (FIF(FOF(F/*&FIF(FTF(F(*&)F=F6F(FOF(F/*&FIF(FXF(F(*,F " 0 "" {MPLTEXT 1 0 557 "W1211:=(x,x2,x3,x4,x5)->3*t*r1*x3x1 -2*t^2*r1^2*x3 +t^4*r1^3* r2 -t^3*r1^3*x2 +q*x1x4-q*x1x3x1-x^3*t*r2+2*t^2*r1^2*x2x1-t*r1*x2x1x1+ x3x2+t*r1*x2^2+q*x2x3-2*t*r1*x4-x1x3x1-t^2*r2*q*r1*x2+q*t*r1*x1x3+x1x4 -x5+t*r1*x1x3-3*q*t*r1*x4+x1x2*t*r2-t^2*r1*x2*r2+x4x1+2*q*x4x1-2*q*x5- x1x2x2-x3x1x1+q^2*x4x1-2*q^2*x5+q^2*x3x2-q^3*x5+3*x^2*t^2*r1*r2+t^2*r1 ^2*x1x2-3*x*t^3*r1^2*r2-q^2*t*r1*x4+q*x2x1*t*r2+q*t*r1*x2^2+t*r1*q*x3x 1-t^2*r1^2*q*x3-2*t*r1*x1x2x1-q^2*t*r2*x3+q^2*x2x1*t*r2+q^2*t*r1*x2^2- q^3*t*r2*x3+q^2*x2x3+x1x2x1x1-q*x2x2x1-q^2*x2x2x1+q^3*x3x2-q^2*t^2*r2* r1*x2;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W1211Gf*6'%\"xG%#x2G%#x3G %#x4G%#x5G6\"6$%)operatorG%&arrowGF,,`q*(%\"tG\"\"\"%#r1GF3%%x1x3GF3F3 *(F2F3F4F3%'x2x1x1GF3!\"\"**\"\"#F3F2F3F4F3%'x1x2x1GF3F8**F:F3)F2F:F3) F4F:F3%%x2x1GF3F3*()9$\"\"$F3F2F3%#r2GF3F8*()F2FCF3)F4FCF39%F3F8*()F2 \"\"%F3FGF3FDF3F3*(F=F3F>F3%%x1x2GF3F3**FCF3F2F3F4F3%%x3x1GF3F3**F:F3F =F3F>F39&F3F8*(FMF3F2F3FDF3F3**)%\"qGF:F3F2F3F4F39'F3F8*(F2F3F4F3)FHF: F3F3**F:F3F2F3F4F3FVF3F8*,FCF3FBF3FFF3F>F3FDF3F8%%x1x4GF3*&FUF3%'x2x2x 1GF3F8*(F:F3FUF3%%x4x1GF3F3FinF3*,FCF3FUF3F2F3F4F3FVF3F8**F=F3F4F3FHF3 FDF3F8%%x3x2GF39(F8*(F:F3FUF3F]oF3F8%'x1x2x2GF8*&FUF3%%x2x3GF3F3%'x1x3 x1GF8%)x1x2x1x1GF3%'x3x1x1GF8**FUF3F?F3F2F3FDF3F3**F2F3F4F3FUF3FOF3F3* *FUF3F2F3F4F3F5F3F3**FUF3F2F3F4F3FXF3F3**F=F3F>F3FUF3FQF3F8*,FCF3)FBF: F3F=F3F4F3FDF3F3*&FTF3FinF3F3*&FTF3F\\oF3F3*&FUF3FenF3F3*&FUF3FboF3F8* &)FUFCF3F]oF3F8*(F:F3FTF3F]oF3F8*&FTF3FaoF3F3*,F=F3FDF3FUF3F4F3FHF3F8* *FTF3F?F3F2F3FDF3F3**FTF3F2F3FDF3FQF3F8**FTF3F2F3F4F3FXF3F3*,FTF3F=F3F DF3F4F3FHF3F8*&FTF3FgnF3F8*&FapF3F\\oF3F3**FapF3F2F3FDF3FQF3F8F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 121 "W2111:=(x,x2,x3,x4,x5)-> x2*W111(x,x2,x3) - (1+q+q^2)*t*r3*W11(x,x2) - (1+q+q^2)*W311(x,x2,x3,x 4,x5) - t*r2*W111(x,x2,x3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W211 1Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,**&9%\"\"\"- %%W111G6%9$F29&F3F3**,(F3F3%\"qGF3*$)F;\"\"#F3F3F3%\"tGF3%#r3GF3-%$W11 G6$F7F2F3!\"\"*&F:F3-%%W311G6'F7F2F89'9(F3FD*(F?F3%#r2GF3F4F3FDF,F,F, " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "expand(W2111(x,x2,x3,x4 ,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,hp*(%%x2x1G\"\"\"%\"tGF&%#r 2GF&F&*()F'\"\"#F&)%#r1GF+F&%#x3GF&!\"\"*()F'\"\"%F&)F-\"\"$F&F(F&F&*( )F'F4F&F3F&%#x2GF&F/*()%\"xGF4F&F'F&F(F&F/**F+F&F'F&F-F&)F7F+F&F&*(F7F &%\"qGF&F.F&F&*(F'F&F(F&F.F&F/**F+F&F'F&F-F&%%x3x1GF&F&*(%%x1x2GF&F'F& F(F&F&*&F>F&%%x3x2GF&F&*(F7F&F>F&F%F&F/*(F'F&F-F&%#x4GF&F/*&F7F&FCF&F/ *(F+F&F>F&%%x4x1GF&F&FKF&%#x5GF/*,F+F&F>F&F'F&F-F&FHF&F/**F>F&F'F&F(F& F.F&F/*,F+F&F*F&F-F&F7F&F(F&F/*&F7F&F.F&F&FEF&*(F+F&F>F&FLF&F/*&F7F&F% F&F/%'x3x1x1GF/*,F4F&)F:F+F&F*F&F-F&F(F&F&*,F4F&F:F&F*F&F,F&F7F&F&*,F4 F&F:F&F6F&F,F&F(F&F/*,F+F&)F>F+F&F'F&F-F&FHF&F/**F>F&F%F&F'F&F(F&F&**F >F&F'F&F-F&FF4F& F'F&F-F&FHF&F/*,F+F&F'F&F-F&F>F&FAF&F&**F*F&F,F&F>F&F.F&F/*(F+F&FYF&FK F&F&*(F+F&FYF&FLF&F/*&FYF&FSF&F/*&FYF&FEF&F&*&FinF&FKF&F&*&FinF&FLF&F/ *&F>F&FSF&F/*,F*F&F(F&F>F&F-F&F7F&F/*&F7F&F9F&F&*,F4F&F7F&FUF&F'F&F-F& F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 505 "W2111:=(x,x2,x3,x4,x 5)->x2x1*t*r2+2*t*r1*x3x1-t^2*r1^2*x3+t^4*r1^3*r2-t^3*r1^3*x2-x^3*t*r2 +x1x2*t*r2-t*r2*x3-q*x2x2x1+x3x2+q*x2x3+2*t*r1*x2^2-t*r1*x4+q*x3x2-t^2 *r2*q*r1*x2-x2x2x1-x2x1x2-x5-2*q*t*r1*x4-q*t*r2*x3-2*t^2*r1*x2*r2+x2x3 +x4x1+2*q*x4x1-2*q*x5-x3x1x1+2*q^2*x4x1-2*q^2*x5-q^2*x3x1x1+q^2*x3x2+q ^3*x4x1-q^3*x5+3*x^2*t^2*r1*r2+3*x2x1*t^2*r1^2-3*x*t^3*r1^2*r2-2*q^2*t *r1*x4+q*x2x1*t*r2+q*t*r1*x2^2+2*q^2*t*r1*x3x1-q^2*t^2*r1^2*x3-q^3*t*r 1*x4+2*t*r1*q*x3x1-t^2*r1^2*q*x3-q*x3x1x1-3*x2x1x1*t*r1+x2x1x1x1;" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#>%&W2111Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G 6\"6$%)operatorG%&arrowGF,,hp*(%%x2x1G\"\"\"%\"tGF3%#r2GF3F3**\"\"$F3F 4F3%#r1GF3%'x2x1x1GF3!\"\"**F7F3)F4\"\"#F3)F8F=F3F2F3F3*()9$F7F3F4F3F5 F3F:*()F4F7F3)F8F7F39%F3F:*()F4\"\"%F3FDF3F5F3F3**F=F3F4F3F8F3%%x3x1GF 3F3*(FF39&F3F:*(%%x1x2GF3F4F3F5F3F3*,F=F3)%\"qGF=F3F4F3F8F39'F3F: %%x2x3GF3**F=F3F4F3F8F3)FEF=F3F3*(F4F3F8F3FRF3F:*&FQF3%%x3x2GF3F3*(F4F 3F5F3FLF3F:*,F7F3FAF3FCF3F>F3F5F3F:*&FQF3%'x2x2x1GF3F:*(F=F3FQF3%%x4x1 GF3F3FhnF3*,F=F3FQF3F4F3F8F3FRF3F:**FQF3F4F3F5F3FLF3F:*,F=F3FF3FLF3F:**)FQF7F3F4F3F8F 3FRF3F:**FF3FQF3FLF3F:*,F7F3)FAF=F3F \+ " 0 "" {MPLTEXT 1 0 141 "W11111:=(x,x2,x3,x4,x5)->x*W1111(x,x2,x3,x4) \+ - (1+q+q^2+q^3)*t*r2*W111(x,x2,x3) - (1+q+q^2+q^3)*W2111(x,x2,x3,x4,x5 ) -t*r1*W1111(x,x2,x3,x4);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%'W1111 1Gf*6'%\"xG%#x2G%#x3G%#x4G%#x5G6\"6$%)operatorG%&arrowGF,,**&9$\"\"\"- %&W1111G6&F29%9&9'F3F3**,*F3F3%\"qGF3*$)F<\"\"#F3F3*$)F<\"\"$F3F3F3%\" tGF3%#r2GF3-%%W111G6%F2F7F8F3!\"\"*&F;F3-%&W2111G6'F2F7F8F99(F3FH*(FCF 3%#r1GF3F4F3FHF,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "exp and(W11111(x,x2,x3,x4,x5));" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,dz*()% \"tG\"\"#\"\"\")%#r1GF'F(%#x3GF(\"\"$*(F&F(F*F(%%x1x3GF(!\"\"**\"\"%F( F&F(F*F(%'x2x1x1GF(F(*(%\"xGF()%\"qGF,F(%%x3x1GF(F(*(F&F(F*F(%'x1x2x1G F(F(**\"\"'F(F%F(F)F(%%x2x1GF(F/*(F4F()F6F'F(F2F(F/*(F4F(F6F()%#x2GF'F (F(*(F&F(F*F(%'x1x1x2GF(F(**F1F()F&F,F()F*F,F(FAF(F(**F'F(F4F(F6F(F7F( F(**F,F(F&F(F*F(F@F(F/**F,F(F%F(F)F(%%x1x2GF(F/**F,F(F&F(F*F(F7F(F/**F 'F(F4F(F>F(F7F(F(*(F4F(F6F(F2F(F/**\"#5F()F4F'F(FEF(FFF(F/**FOF()F4F,F (F%F(F)F(F(**\"\"&F()F4F1F(F&F(F*F(F/*&F4F(F.F(F(**F'F(F4F(F6F(%#x4GF( F/*(F4F(F6F(F9F(F/*(F4F(F6F(F.F(F(**FTF(F4F()F&F1F()F*F1F(F(*(F4F(F5F( FXF(F/*(F4F(F>F(F@F(F(**F'F(F4F(F>F(FXF(F/%%x2x3GF/*(F'F(F6F(%%x3x2GF( F/**F'F(F&F(F*F(FXF(F(*&F4F(F7F(F(*.F'F(F4F(F>F(F&F(F*F(F+F(F/*(F'F(F6 F(%'x2x2x1GF(F(*(F,F(F6F(%%x4x1GF(F/FdoF/*&F4F(FXF(F/%#x5GF(*,F'F(F4F( F&F(F*F(F+F(F/*,FTF(F6F(F&F(F*F(FXF(F(F]oF/*(F,F(F6F(FfoF(F(*&F4F(F@F( F(*(F'F(F6F(F[oF(F/%)x2x1x1x1GF/%'x2x1x2GF(FboF(%'x3x1x1GF(*,F,F(F4F(F &F(F*F(FJF(F(*,F,F(F4F(F%F(F)F(FAF(F/*,\"\"(F(F>F(F&F(F*F(FXF(F(*,F1F( F6F(F&F(F*F(F@F(F/*,\"\")F(F>F(F&F(F*F(F7F(F/*,FTF(F>F(F%F(F)F(F+F(F(* ,FbpF(F5F(F&F(F*F(FXF(F(*,F;F(F&F(F*F(F6F(F7F(F/*,FTF(F%F(F)F(F6F(F+F( F(**F6F(F&F(F*F(F.F(F/*&F4F(FCF(F/*&F6F(F]pF(F(*(FTF(F>F(FdoF(F/*(FTF( F>F(FfoF(F(*(F,F(F>F(F^pF(F(*(F,F(F>F(F]oF(F/*(F;F(F5F(FdoF(F/*(F;F(F5 F(FfoF(F(*&F4F(F9F(F/*(F'F(F6F(F^pF(F(*&F>F(F]pF(F(*(F'F(F>F(F[oF(F/*. 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collect(expand(W11(x,x2) + W2(x2)),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,**$)%\"xG\"\"#\"\"\"F(**F'F(F&F(%\"tGF(%#r1GF(!\"\"*&)F*F'F()F+ F'F(F(*&F*F(%#r2GF(F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "co llect(expand(W111(x,x2,x3) + (1+q)*W21(x,x2,x3) + W12(x,x2,x3) + W3(x3 )),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,0*$)%\"xG\"\"$\"\"\"F(**F'F ()F&\"\"#F(%\"tGF(%#r1GF(!\"\"*&,(*&)F,F+F()F-F+F(F'*(F+F(F,F(%#r2GF(F .*(%\"qGF(F,F(F5F(F.F(F&F(F(*&F,F(%#r3GF(F.**F+F(F2F(F-F(F5F(F(*&)F,F' F()F-F'F(F.**F7F(F2F(F5F(F-F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "x^3-3*x^2*t*r1+(3*t^2*r1^2-2*t*r2-q*t*r2)*x-t*r3+2*t^2*r1*r2-t ^3*r1^3+q*t^2*r2*r1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,0*$)%\"xG\"\" $\"\"\"F(**F'F()F&\"\"#F(%\"tGF(%#r1GF(!\"\"*&,(*&)F,F+F()F-F+F(F'*(F+ F(F,F(%#r2GF(F.*(%\"qGF(F,F(F5F(F.F(F&F(F(*&F,F(%#r3GF(F.**F+F(F2F(F-F (F5F(F(*&)F,F'F()F-F'F(F.**F7F(F2F(F5F(F-F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 182 "collect(expand(W1111(x,x2,x3,x4) + W112(x,x2,x3 ,x4) + (1+q)*W121(x,x2,x3,x4) + (1+q+q^2)*W211(x,x2,x3,x4) + W13(x,x3, x4) + (1 + 2*q)*W31(x,x3,x4) + (1+q+q^2)*W22(x2,x4) + W4(x4)),x);" }} {PARA 12 "" 1 "" {XPPMATH 20 "6#,>*$)%\"xG\"\"%\"\"\"F(**F'F()F&\"\"$F (%\"tGF(%#r1GF(!\"\"*&,**()%\"qG\"\"#F(F,F(%#r2GF(F.*(F+F(F,F(F5F(F.*( \"\"'F()F,F4F()F-F4F(F(**F4F(F3F(F,F(F5F(F.F()F&F4F(F(*&,.*&F,F(%#r3GF (!\"#**F8F(F9F(F-F(F5F(F(*(F'F()F,F+F()F-F+F(F.**F4F(F3F(F,F(F@F(F.*,F 'F(F3F(F9F(F5F(F-F(F(*,F4F(F2F(F9F(F-F(F5F(F(F(F&F(F(*(F3F(F9F()F5F4F( F(*(F2F(F9F(FJF(F(*&)F,F'F()F-F'F(F(**FDF(F5F(F2F(F:F(F.**F+F(FDF(F:F( F5F(F.*,F4F(FDF(F5F(F3F(F:F(F.**F4F(F9F(F-F(F@F(F(*,F4F(F3F(F9F(F@F(F- F(F(*&F,F(%#r4GF(F.*&F9F(FJF(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "The next line is the main result of this worksheet." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 526 "collect(expand(W11111(x,x2,x3,x4,x 5) + W1112(x,x2,x3,x4,x5) + (1+q)*W1121(x,x2,x3,x4,x5) + (1+q+q^2)*W12 11(x,x2,x3,x4,x5) + (1+q+q^2+q^3)*W2111(x,x2,x3,x4,x5) + W113(x,x2,x3, x4,x5) + (1 + 2*q)*W131(x,x2,x3,x4,x5) + (1 + 2*q + 3*q^2)*W311(x,x2,x 3,x4,x5) + (1 + q + q^2)*W122(x,x2,x3,x4,x5) + (1 + q + q^2 + q^3)*W21 2(x,x2,x3,x4,x5) + (1 + 2*q + 2*q^2 + 2*q^3 + q^4)*W221(x,x2,x3,x4,x5) + W14(x,x4,x5) + (1 + 3*q)*W41(x,x4,x5) + (1 + q + 2*q^2)*W23(x2,x3,x 5) + (1 + 2*q + 2*q^2 + q^3)*W32(x2,x3,x5) + W5(x5)),[x,x2,x3,x4,x5,t] );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,:*$)%\"xG\"\"&\"\"\"F(**F'F()F& \"\"%F(%\"tGF(%#r1GF(!\"\"*&,&*&)F,\"\"#F()F-F3F(\"#5*&,**&%\"qGF(%#r2 GF(!\"$*&F+F(F:F(F.*(F3F()F9F3F(F:F(F.*&F:F()F9\"\"$F(F.F(F,F(F(F()F&F AF(F(*&,(*&)F,FAF()F-FAF(!#5*&,**&F-F(F:F(\"#7**FAF(F:F(F@F(F-F(F(**\" \"'F(F>F(F-F(F:F(F(**\"\"*F(F9F(F:F(F-F(F(F(F2F(F(*&,(*&F9F(%#r3GF(!\" %*&FAF(FUF(F.*(FAF(F>F(FUF(F.F(F,F(F(F()F&F3F(F(*&,**&)F,F+F()F-F+F(F' *&,**(F:F(F9F(F4F(!\"**(FLF(F4F(F:F(F.**FOF(F:F(F>F(F4F(F.**FAF(F:F(F@ F(F4F(F.F(FFF(F(*&,2*&F-F(FUF(FO*&)F9F+F()F:F3F(F(*(FAF(F@F(FeoF(F(*(F +F(F>F(FeoF(F(**FOF(F>F(FUF(F-F(F(**\"\")F(F9F(FUF(F-F(F(*&FAF(FeoF(F( *(F+F(F9F(FeoF(F(F(F2F(F(*&,&%#r4G!\"#*(FAF(F9F(F_pF(F.F(F,F(F(F(F&F(F (*(,&*&F@F(FUF(F.*&F>F(FUF(F(F(F,F(%#x2GF(F(*(,&*&F>F(F:F(F.F?F(F(F,F( %#x3GF(F(*&)F,F'F()F-F'F(F.*&,**(F:F(F9F(FGF(FA*(F:F(F@F(FGF(F(**F3F(F :F(F>F(FGF(F(*(F+F(FGF(F:F(F(F(FgnF(F(*&,2*(F>F(FUF(F4F(F;*(FAF(F-F(Fe oF(F.**FAF(F@F(F-F(FeoF(F.*(FAF(F4F(FUF(F.**F+F(F9F(FUF(F4F(F.*(FdoF(F -F(FeoF(F.**F+F(F>F(FeoF(F-F(F.**F+F(FeoF(F9F(F-F(F.F(FFF(F(*&,.*(F@F( F:F(FUF(F(*(F3F(F:F(FUF(F(**F+F(F>F(F:F(FUF(F(**FAF(F9F(F_pF(F-F(F(**F AF(F9F(FUF(F:F(F(*(F3F(F-F(F_pF(F(F(F2F(F(*&F,F(%#r5GF(F." }}}}{MARK " 91" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }