ring r = 0, (V1, V2, V3, V4, V5, V6, V7, V8, V9, V10, V11, V12, V13, V14, V15, V16, V17, V18, V19, V20, V21, V22, V23, V24, V25, V26, V27, V28, V29, V30, V31, V32, V33, V34, V35, V36, V37, V38, V39, V40, V41, V42, V43, V44, V45, V46, V47, V48, V49, V50, V51, V52, V53, V54, V55, V56, V57, V58, V59, V60, V61, V62, V63, V64, V65, V66, V67, V68, V69, V70, V71, V72, V73, V74, V75, V76, V77, V78, V79, V80, V81, V82, V83, V84, V85, V86, V87, V88, V89, V90, V91, V92, V93, V94, V95, V96, V97, V98, V99, V100, V101, V102, V103, V104, V105, V106, V107, V108, V109, V110, V111, V112, V113, V114, V115, V116, V117, V118, V119, V120, V121, V122, V123, V124, V125, V126, V127, V128, V129, V130, V131, V132, V133, V134, V135, V136, W2, W3, W4, W5), dp; ideal i = -V128^3*W3, -V126*V128^2*W3+V128^2-V128, -V126^2*V128*W3+V90^2-V128^2, -V126^3*W3-V128^3+V129^2, -V90^2*V128*W3-V128^2+V128, -V90*V128*V130*W3, -V128*V130^2*W3+V48*V90-V90^2, -V90^2*V126*W3-V128^3+V126*V128, -V90*V126*V130*W3-V90*V128^2+V90*V130, -V126*V130^2*W3-V90^2*V128+V129*V131, -V127^2*V128*W3+V90*V125, -V126*V127^2*W3+V84*V129, -V48*V90^2*W3-V90*V128^2+V90, -V90^2*V131*W3-V128^2*V129+V128*V129, -V48*V90*V130*W3-V90^2*V128+V128*V130, -V90*V130*V131*W3-V90*V128*V129+V90*V131, -V48*V130^2*W3-V90^3+V90*V132, -V130^2*V131*W3-V90^2*V129+V107*V129, -V90*V125*V127*W3+V127*V128, -V90*V124*V127*W3+V90*V124, -V125*V127*V130*W3+V90*V134, -V124*V127*V130*W3+V71*V129, -V65*V127^2*W3+V88*V90, -V123*V127^2*W3+V129*V135, -V1^3*W2-V106^3*W4+V1, -V1^2*V103*W2-V86*V106^2*W4+V103*V128, -V1*V103^2*W2-V86^2*V106*W4+V22*V90, -V103^3*W2-V86^3*W4+V9*V129, -V1*V106^2*W2-V46^2*V106*W4+V106, -V1*V106*V110*W2-V46*V51*V106*W4+V110*V128, -V1*V110^2*W2-V51^2*V106*W4+V90*V111, -V103*V106^2*W2-V46^2*V86*W4+V86*V128, -V103*V106*V110*W2-V46*V51*V86*W4+V67*V90, -V103*V110^2*W2-V51^2*V86*W4+V10*V129, -V46*V106^2*W2-V45*V46^2*W4+V46, -V106^2*V114*W2-V46^2*V115*W4+V114*V128, -V46*V106*V110*W2-V45*V46*V51*W4+V51*V128, -V106*V110*V114*W2-V46*V51*V115*W4+V11*V90, -V46*V110^2*W2-V45*V51^2*W4+V27*V90, -V110^2*V114*W2-V51^2*V115*W4+V15*V129, -V48^3*W3-V125^3*W5-V90^3+V48, -V48^2*V131*W3-V84*V125^2*W5-V90^2*V129+V128*V131, -V48*V131^2*W3-V84^2*V125*W5-V90*V129^2+V90*V107, -V131^3*W3-V84^3*W5-V129^3+V56*V129, -V48*V125^2*W3-V65^2*V125*W5+V125, -V48*V124*V125*W3-V65*V85*V125*W5+V124*V128, -V48*V124^2*W3-V85^2*V125*W5+V81*V90, -V125^2*V131*W3-V65^2*V84*W5+V84*V128, -V124*V125*V131*W3-V65*V84*V85*W5+V71*V90, -V124^2*V131*W3-V84*V85^2*W5+V68*V129, -V65*V125^2*W3-V65^2*V73*W5+V65, -V123*V125^2*W3-V65^2*V80*W5+V123*V128, -V65*V124*V125*W3-V65*V73*V85*W5+V85*V128, -V123*V124*V125*W3-V65*V80*V85*W5+V28*V90, -V65*V124^2*W3-V73*V85^2*W5+V61*V90, -V123*V124^2*W3-V80*V85^2*W5+V41*V129, -V46^3*W2-V45^3*W4+V45, -V46^2*V114*W2-V45^2*V115*W4+V115*V128, -V46*V114^2*W2-V45*V115^2*W4+V90*V136, -V114^3*W2-V115^3*W4+V44*V129, -V65^3*W3-V73^3*W5+V73, -V65^2*V123*W3-V73^2*V80*W5+V80*V128, -V65*V123^2*W3-V73*V80^2*W5+V50*V90, -V123^3*W3-V80^3*W5+V77*V129, -V103^2*V128*W3, -V86*V103*V128*W3-V1*V106+V106^2, -V86^2*V128*W3+V46^2-V106^2, -V103^2*V126*W3-V1^2*V128+V103^2, -V86*V103*V126*W3-V1*V106*V128+V110^2, -V86^2*V126*W3-V106^2*V128+V114^2, -V110^2*V128*W3+V1*V106-V106^2, -V51*V110*V128*W3, -V51^2*V128*W3+V45*V46-V46^2, -V110^2*V126*W3-V106^2*V128+V86*V103, -V51*V110*V126*W3-V46*V106*V128+V51*V110, -V51^2*V126*W3-V46^2*V128+V114*V115, -V22*V90*V103*W3-V1*V103*V128+V1*V103, -V67*V90*V103*W3-V1*V110*V128+V106*V110, -V22*V86*V90*W3-V103*V106*V128+V86*V106, -V67*V86*V90*W3-V106*V110*V128+V46*V51, -V22*V103*V130*W3-V1*V90*V103+V22*V103, -V67*V103*V130*W3-V1*V90*V110+V110*V111, -V22*V86*V130*W3-V90*V103*V106+V67*V110, -V67*V86*V130*W3-V90*V106*V110+V11*V114, -V90*V110*V111*W3-V106*V110*V128+V1*V110, -V11*V90*V110*W3-V106*V114*V128+V106*V114, -V51*V90*V111*W3-V46*V110*V128+V51*V106, -V11*V51*V90*W3-V46*V114*V128+V46*V115, -V110*V111*V130*W3-V90*V106*V110+V67*V103, -V11*V110*V130*W3-V90*V106*V114+V11*V110, -V51*V111*V130*W3-V46*V90*V110+V27*V110, -V11*V51*V130*W3-V46*V90*V114+V114*V136, -V72*V103*V127*W3+V72*V103, -V14*V103*V127*W3+V110*V121, -V72*V86*V127*W3+V75*V110, -V14*V86*V127*W3+V4*V114, -V110*V121*V127*W3+V14*V103, -V87*V110*V127*W3+V87*V110, -V51*V121*V127*W3+V59*V110, -V51*V87*V127*W3+V55*V114, -V1*V2^2*W2-V97^2*V106*W4+V1*V2, -V1*V2*V97*W2-V97*V106*V116*W4+V97*V106, -V1*V97^2*W2-V106*V116^2*W4+V46*V117, -V2^2*V103*W2-V86*V97^2*W4+V99*V103, -V2*V97*V103*W2-V86*V97*V116*W4+V108*V110, -V97^2*V103*W2-V86*V116^2*W4+V92*V114, -V1*V99^2*W2-V106*V108^2*W4+V1*V99, -V1*V99*V108*W2-V38*V106*V108*W4+V106*V108, -V1*V108^2*W2-V38^2*V106*W4+V46*V118, -V99^2*V103*W2-V86*V108^2*W4+V16*V103, -V99*V103*V108*W2-V38*V86*V108*W4+V26*V110, -V103*V108^2*W2-V38^2*V86*W4+V32*V114, -V1*V98^2*W2-V95^2*V106*W4+V1*V98, -V1*V95*V98*W2-V79*V95*V106*W4+V95*V106, -V1*V95^2*W2-V79^2*V106*W4+V46*V119, -V98^2*V103*W2-V86*V95^2*W4+V101*V103, -V95*V98*V103*W2-V79*V86*V95*W4+V31*V110, -V95^2*V103*W2-V79^2*V86*W4+V30*V114, -V2*V97*V106*W2-V46*V97*V117*W4+V1*V97, -V2*V106*V117*W2-V17*V46*V97*W4+V106*V117, -V97^2*V106*W2-V46*V116*V117*W4+V106*V116, -V97*V106*V117*W2-V17*V46*V116*W4+V17*V46, -V2*V97*V110*W2-V51*V97*V117*W4+V103*V108, -V2*V110*V117*W2-V17*V51*V97*W4+V110*V118, -V97^2*V110*W2-V51*V116*V117*W4+V38*V110, -V97*V110*V117*W2-V17*V51*V116*W4+V39*V114, -V99*V106*V108*W2-V46*V108*V118*W4+V1*V108, -V92*V99*V106*W2-V39*V46*V108*W4+V92*V106, -V106*V108^2*W2-V38*V46*V118*W4+V38*V106, -V92*V106*V108*W2-V38*V39*V46*W4+V39*V46, -V99*V108*V110*W2-V51*V108*V118*W4+V26*V103, -V92*V99*V110*W2-V39*V51*V108*W4+V32*V110, -V108^2*V110*W2-V38*V51*V118*W4+V49*V110, -V92*V108*V110*W2-V38*V39*V51*W4+V35*V114, -V95*V98*V106*W2-V46*V95*V119*W4+V1*V95, -V98*V104*V106*W2-V46*V57*V95*W4+V104*V106, -V95^2*V106*W2-V46*V79*V119*W4+V79*V106, -V95*V104*V106*W2-V46*V57*V79*W4+V46*V57, -V95*V98*V110*W2-V51*V95*V119*W4+V31*V103, -V98*V104*V110*W2-V51*V57*V95*W4+V24*V110, -V95^2*V110*W2-V51*V79*V119*W4+V47*V110, -V95*V104*V110*W2-V51*V57*V79*W4+V66*V114, -V22^2*V48*W3-V72^2*V125*W5-V90*V103^2+V1*V22, -V22*V48*V67*W3-V72*V75*V125*W5-V90*V103*V110+V67*V106, -V48*V67^2*W3-V75^2*V125*W5-V90*V110^2+V27*V46, -V22^2*V131*W3-V72^2*V84*W5-V103^2*V129+V9*V103, -V22*V67*V131*W3-V72*V75*V84*W5-V103*V110*V129+V10*V110, -V67^2*V131*W3-V75^2*V84*W5-V110^2*V129+V15*V114, -V48*V111^2*W3-V121^2*V125*W5-V90*V110^2+V1*V111, -V11*V48*V111*W3-V4*V121*V125*W5-V90*V110*V114+V11*V106, -V11^2*V48*W3-V4^2*V125*W5-V90*V114^2+V46*V136, -V111^2*V131*W3-V84*V121^2*W5-V110^2*V129+V10*V103, -V11*V111*V131*W3-V4*V84*V121*W5-V110*V114*V129+V15*V110, -V11^2*V131*W3-V4^2*V84*W5-V114^2*V129+V44*V114, -V22*V72*V125*W3-V65*V70*V72*W5+V1*V72, -V14*V22*V125*W3-V65*V72*V78*W5+V14*V106, -V67*V72*V125*W3-V65*V70*V75*W5+V75*V106, -V14*V67*V125*W3-V65*V75*V78*W5+V46*V59, -V22*V72*V124*W3-V70*V72*V85*W5+V60*V103, -V14*V22*V124*W3-V72*V78*V85*W5+V82*V110, -V67*V72*V124*W3-V70*V75*V85*W5+V69*V110, -V14*V67*V124*W3-V75*V78*V85*W5+V42*V114, -V111*V121*V125*W3-V43*V65*V121*W5+V1*V121, -V87*V111*V125*W3-V65*V74*V121*W5+V87*V106, -V11*V121*V125*W3-V4*V43*V65*W5+V4*V106, -V11*V87*V125*W3-V4*V65*V74*W5+V46*V55, -V111*V121*V124*W3-V43*V85*V121*W5+V82*V103, -V87*V111*V124*W3-V74*V85*V121*W5+V93*V110, -V11*V121*V124*W3-V4*V43*V85*W5+V42*V110, -V11*V87*V124*W3-V4*V74*V85*W5+V40*V114, -V46*V97^2*W2-V45*V117^2*W4+V1*V117, -V46*V97*V117*W2-V17*V45*V117*W4+V17*V106, -V46*V117^2*W2-V17^2*V45*W4+V12*V46, -V97^2*V114*W2-V115*V117^2*W4+V92*V103, -V97*V114*V117*W2-V17*V115*V117*W4+V39*V110, -V114*V117^2*W2-V17^2*V115*W4+V89*V114, -V46*V108^2*W2-V45*V118^2*W4+V1*V118, -V46*V92*V108*W2-V39*V45*V118*W4+V39*V106, -V46*V92^2*W2-V39^2*V45*W4+V46*V89, -V108^2*V114*W2-V115*V118^2*W4+V32*V103, -V92*V108*V114*W2-V39*V115*V118*W4+V35*V110, -V92^2*V114*W2-V39^2*V115*W4+V7*V114, -V46*V95^2*W2-V45*V119^2*W4+V1*V119, -V46*V95*V104*W2-V45*V57*V119*W4+V57*V106, -V46*V104^2*W2-V45*V57^2*W4+V46*V54, -V95^2*V114*W2-V115*V119^2*W4+V30*V103, -V95*V104*V114*W2-V57*V115*V119*W4+V66*V110, -V104^2*V114*W2-V57^2*V115*W4+V113*V114, -V65*V72^2*W3-V70^2*V73*W5+V1*V70, -V14*V65*V72*W3-V70*V73*V78*W5+V78*V106, -V14^2*V65*W3-V73*V78^2*W5+V36*V46, -V72^2*V123*W3-V70^2*V80*W5+V94*V103, -V14*V72*V123*W3-V70*V78*V80*W5+V83*V110, -V14^2*V123*W3-V78^2*V80*W5+V64*V114, -V65*V121^2*W3-V43^2*V73*W5+V1*V43, -V65*V87*V121*W3-V43*V73*V74*W5+V74*V106, -V65*V87^2*W3-V73*V74^2*W5+V20*V46, -V121^2*V123*W3-V43^2*V80*W5+V91*V103, -V87*V121*V123*W3-V43*V74*V80*W5+V102*V110, -V87^2*V123*W3-V74^2*V80*W5+V34*V114, -V128*V129^2*W3-V90^2+V128^2, -V128*V129*V131*W3-V48*V90+V90^2, -V84*V128*V129*W3-V90*V125, -V128*V131^2*W3, -V84*V128*V131*W3-V48*V125+V125^2, -V84^2*V128*W3+V65^2-V125^2, -V126*V129^2*W3-V90^2*V128+V126^2, -V126*V129*V131*W3-V48*V90*V128+V130^2, -V84*V126*V129*W3-V90*V125*V128+V127^2, -V126*V131^2*W3-V48^2*V128+V131^2, -V84*V126*V131*W3-V48*V125*V128+V124^2, -V84^2*V126*W3-V125^2*V128+V123^2, -V124^2*V128*W3+V48*V125-V125^2, -V85*V124*V128*W3, -V85^2*V128*W3-V65^2+V65*V73, -V124^2*V126*W3-V125^2*V128+V84*V131, -V85*V124*V126*W3-V65*V125*V128+V85*V124, -V85^2*V126*W3-V65^2*V128+V80*V123, -V90^2*V130*W3-V126*V128^2+V128^2, -V90^2*V132*W3-V128^2*V130+V90^2, -V90^2*V134*W3-V127*V128^2, -V90*V130^2*W3-V90*V126*V128+V90*V126, -V90*V130*V132*W3-V90*V128*V130+V48*V130, -V90*V130*V134*W3-V90*V127*V128+V125*V127, -V130^3*W3-V90^2*V126+V130^2, -V130^2*V132*W3-V90^2*V130+V131^2, -V130^2*V134*W3-V90^2*V127+V124^2, -V90*V129*V131*W3-V90*V128*V130+V90*V128, -V90*V107*V129*W3-V90*V128*V131+V90*V129, -V71*V90*V129*W3-V90*V124*V128, -V90*V131^2*W3-V48*V128*V130+V90*V130, -V90*V107*V131*W3-V48*V128*V131+V48*V131, -V71*V90*V131*W3-V48*V124*V128+V124*V125, -V84*V90*V131*W3-V125*V128*V130, -V84*V90*V107*W3-V125*V128*V131+V84*V125, -V71*V84*V90*W3-V124*V125*V128+V65*V85, -V129*V130*V131*W3-V90^2*V130+V126*V130, -V107*V129*V130*W3-V90^2*V131+V130*V131, -V71*V129*V130*W3-V90^2*V124+V124*V127, -V130*V131^2*W3-V48*V90*V130+V130*V132, -V107*V130*V131*W3-V48*V90*V131+V107*V131, -V71*V130*V131*W3-V48*V90*V124+V81*V124, -V84*V130*V131*W3-V90*V125*V130+V127*V134, -V84*V107*V130*W3-V90*V125*V131+V71*V124, -V71*V84*V130*W3-V90*V124*V125+V28*V123, -V90*V124^2*W3-V125*V127*V128+V90*V127, -V81*V90*V124*W3-V124*V125*V128+V48*V124, -V28*V90*V124*W3-V123*V125*V128+V123*V125, -V85*V90*V124*W3-V65*V127*V128, -V81*V85*V90*W3-V65*V124*V128+V85*V125, -V28*V85*V90*W3-V65*V123*V128+V65*V80, -V124^2*V130*W3-V90*V125*V127+V130*V134, -V81*V124*V130*W3-V90*V124*V125+V71*V131, -V28*V124*V130*W3-V90*V123*V125+V28*V124, -V85*V124*V130*W3-V65*V90*V127+V88*V127, -V81*V85*V130*W3-V65*V90*V124+V61*V124, -V28*V85*V130*W3-V65*V90*V123+V50*V123, -V90*V127*V134*W3+V125*V130, -V88*V90*V127*W3+V65*V127, -V127*V130*V134*W3+V84*V131, -V88*V127*V130*W3+V85*V124, -V84*V127*V129*W3+V126*V127, -V71*V127*V129*W3+V124*V130, -V127*V129*V135*W3+V123*V127, -V84*V127*V131*W3+V130*V134, -V71*V127*V131*W3+V71*V131, -V127*V131*V135*W3+V28*V124, 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