c 20/sep/95, ftp://nt1.c.u-tokyo.ac.jp/hfs3/program/mom2alm.for c The explanation of this program begins at line 53. See also mom2alm.txt. program p0 c implicit real*8 (a-h,o-z) parameter (ndi=5,n=7) dimension a(n),q(n) c pi=4*atan(1.d0) c amass = 138 rmsrad = 5.0225d0 qx = -739.886d0 qy = -719.886d0 qz = 1459.772d0 q40 = 1056.09d0 q42 = 20.00d0 q44 = -156.81d0 c q20=qz*sqrt(5/(16*pi)) q22=sqrt(5/(96*pi))*(qx-qy) c q(1)=q20 q(2)=q22 q(3)=q40 q(4)=q42 q(5)=q44 q(6)=amass*rmsrad**2 q(7)=amass c write(6,*) 'q20 =',q(1) write(6,*) 'q22 =',q(2) write(6,*) 'q40 =',q(3) write(6,*) 'q42 =',q(4) write(6,*) 'q44 =',q(5) write(6,*) 'r^2 =',q(6) write(6,*) 'mass =',q(7) c call defpar(q,a) c write(6,*) 'a20 =',a(1) write(6,*) 'a22 =',a(2) write(6,*) 'a40 =',a(3) write(6,*) 'a42 =',a(4) write(6,*) 'a44 =',a(5) write(6,*) 'rho0 =',a(6) write(6,*) 'R0 =',a(7) c end c===================================================================== subroutine defpar(q,a) c c 17 November 1994, by Satoshi Takahara and Naoki Tajima c Institute of Physics, Univ. of Tokyo, Komaba c e-mail : staka@hep1.c.u-tokyo.ac.jp c : tajima@tansei.cc.u-tokyo.ac.jp c c This program computes the deformation parameters of a sharp-surface c uniform-density liquid drop which has the given multipole moments. c c inputs : q(1) = Q_{2,0} c q(2) = Q_{2,2} = Q_{2,-2} c q(3) = Q_{4,0} c q(4) = Q_{4,2} = Q_{4,-2} c q(5) = Q_{4,4} = Q_{4,-4} c q(6) = r^2 = (r.m.s.radius)^2 * #particles c q(7) = #particles c c outputs : a(1) = a_{2,0} c a(2) = a_{2,2} = a_{2,-2} c a(3) = a_{4,0} c a(4) = a_{4,2} = a_{4,-2} c a(5) = a_{4,4} = a_{4,-4} c a(6) = rho_0 c a(7) = R_0 c c The density of a liquid drop is given by c c rho(x,y,z)=rho_0 * theta(R(Omega)-r), c c where Omega and r are the angular part and the radius of the c vector (x,y,z), respectively. R(Omega) is parameterized with R_0 c and a_{l,m} (l and m are required to be even) as, c c R(w)= R_0*(1 + sum_{l=0}^{4} sum_{m=-l}^{l} a_{l,m} Y_{l,m}(w)). c c The moments Q_{l,m} and r^2 are defined as, c c Q_{l,m} = Integral rho(x,y,z) r^l Y_{l,m} (Omega) dx dy dz c r^2 = Integral rho(x,y,z) r^2 dx dy dz c #particles = Integral rho(x,y,z) dx dy dz c c We assume that Q_{l,m} is real, which is true when the density is c symmetric as for the reflection in the x-z plane. c c In subroutine momfun, the moments are expressed as polynomials in c a_{l,m}. To truncate the polynomials, we replace a_{2,m} by c d*a_{2,m} and a_{4,m} by d^2*a_{4,m} and we retain terms up to order c d^8. After the truncation, d is substituted by 1. c c Subroutines necessary for this program defpar: c (1) momfun : calculation of moments and their derivatives c (2) MNEWT : multi-dimensional Newton method for non-linear equations c (3) SLEQS : solution of linear equations c implicit real*8(a-h,o-z) parameter (n=7,ntrial=1000,tolx=1.0d-15,tolf=1.0d-15) dimension q(n),a(n) common /init/ q0(n) pi=4*atan(1.d0) amass=q(7) rmsrad=sqrt(q(6)/q(7)) R0=sqrt(5/3.0d0)*rmsrad rho0=3*amass/4./pi/R0**3 q2fac=rho0*R0**5 q4fac=rho0*R0**7 do 10 i=1,n 10 q0(i)=q(i) c initial guess a(1)=q(1)/q2fac a(2)=q(2)/q2fac a(3)=q(3)/q4fac a(4)=q(4)/q4fac a(5)=q(5)/q4fac a(6)=rho0 a(7)=R0 c iteration call mnewt(ntrial,a,n,tolx,tolf,q,itr) c write(*,*)itr c write(*,'(a,7f16.8)')' a=',a c write(*,'(a,7f16.8)')' q=',q c write(*,*) return end c----------------------------------------------------------------- subroutine momfun(a,alpha,beta,q) c 17 November 1994, by Satoshi Takahara c Institute of Physics, Univ. of Tokyo, Komaba c e-mail : staka@hep1.c.u-tokyo.ac.jp implicit real*8(a-h,o-z) parameter (n=7) common /init/ q0(n) dimension a(n),q(n),alpha(n,n),beta(n) dimension fac1(n),fac2(n),fac3(n) pi4=16*atan(1.d0) fac1(1)=a(6)*a(7)**5 fac1(2)=fac1(1) fac1(3)=a(6)*a(7)**7 fac1(4)=fac1(3) fac1(5)=fac1(3) fac1(6)=pi4*a(6)*a(7)**5/5 fac1(7)=pi4*a(6)*a(7)**3/3 fac2(1)=a(7)**5 fac2(2)=fac2(1) fac2(3)=a(7)**7 fac2(4)=fac2(3) fac2(5)=fac2(3) fac2(6)=pi4*a(7)**5/5 fac2(7)=pi4*a(7)**3/3 fac3(1)=5*a(6)*a(7)**4 fac3(2)=fac3(1) fac3(3)=7*a(6)*a(7)**6 fac3(4)=fac3(3) fac3(5)=fac3(3) fac3(6)=pi4*a(7)**4 fac3(7)=pi4*a(7)**2 Q(1)=a(1) + 0.3604475031457372*a(1)**2 + - 0.34104630662549*a(1)**3 + - 0.06518977483042678*a(1)**4 + - 0.00838227824213896*a(1)**5 - - 0.7208950062914744*a(2)**2 + - 0.6820926132509801*a(1)*a(2)**2 - - 0.1564554595930243*a(1)**2*a(2)**2 + - 0.01834611841675696*a(1)**3*a(2)**2 - - 0.1564554595930243*a(2)**4 + - 0.04365110933642175*a(1)*a(2)**4 + - 0.967182143224725*a(1)*a(3) + - 0.4991581473315269*a(1)**2*a(3) + - 0.2744938030484564*a(1)**3*a(3) + - 0.03395020791983122*a(1)**4*a(3) - - 0.4436961309613573*a(2)**2*a(3) + - 0.239509298738359*a(1)*a(2)**2*a(3) - - 0.0390427391078059*a(1)**2*a(2)**2*a(3) - - 0.0305551871278481*a(2)**4*a(3) + - 0.3276795483143065*a(3)**2 + - 0.853331248325877*a(1)*a(3)**2 + - 0.3712808406495998*a(1)**2*a(3)**2 + - 0.0820067771906842*a(1)**3*a(3)**2 - - 0.1047048075737932*a(2)**2*a(3)**2 + - 0.03905155510455326*a(1)*a(2)**2*a(3)**2 + - 0.191983902819818*a(3)**3 + - 0.3065972305330163*a(1)*a(3)**3 + - 0.0825557641067277*a(1)**2*a(3)**3 - - 0.01148420965114786*a(2)**2*a(3)**3 + - 0.0819910071051322*a(3)**4 + - 1.248626777819519*a(2)*a(4) - - 0.4296069314975003*a(1)*a(2)*a(4) + - 0.3439473295965269*a(1)**2*a(2)*a(4) - - 0.0087659059915857*a(1)**3*a(2)*a(4) + - 0.3960605613535763*a(2)**3*a(4) - - 0.1051908718990284*a(1)*a(2)**3*a(4) + - 0.5098730066762457*a(2)*a(3)*a(4) - - 0.4474703183461001*a(1)*a(2)*a(3)*a(4) + - 0.06278136785652063*a(1)**2*a(2)*a(3)*a(4) + - 0.0913183532458482*a(2)**3*a(3)*a(4) + - 0.2586042488838057*a(2)*a(3)**2*a(4) - - 0.03314489469821551*a(1)*a(2)*a(3)**2*a(4) + - 0.2621436386514452*a(4)**2 + - 0.853808236167311*a(1)*a(4)**2 + - 0.1143328358564408*a(1)**2*a(4)**2 + - 0.03531534762170864*a(1)**3*a(4)**2 - - 0.3249459545393581*a(2)**2*a(4)**2 + - 0.1507135488597682*a(1)*a(2)**2*a(4)**2 - - 0.4223645862035996*a(3)*a(4)**2 + - 0.1438955403523915*a(1)*a(3)*a(4)**2 - - 0.0102165950768037*a(1)**2*a(3)*a(4)**2 - - 0.134518501844582*a(2)**2*a(3)*a(4)**2 + - 0.04312492234650305*a(3)**2*a(4)**2 + - 0.393608173976774*a(2)*a(4)**3 - - 0.0173418387883073*a(1)*a(2)*a(4)**3 + - 0.0858474348421833*a(4)**4 - - 0.928057041757989*a(2)**2*a(5) + - 0.5178562576926568*a(1)*a(2)**2*a(5) - - 0.07101195464760844*a(1)**2*a(2)**2*a(5) - - 0.0852143455771301*a(2)**4*a(5) - - 0.3624923879293865*a(2)**2*a(3)*a(5) + - 0.1076019215258098*a(1)*a(2)**2*a(3)*a(5) - - 0.04970397122827033*a(2)**2*a(3)**2*a(5) + - 1.174669116318895*a(2)*a(4)*a(5) - - 0.6239675473677654*a(1)*a(2)*a(4)*a(5) + - 0.1027380970706454*a(1)**2*a(2)*a(4)*a(5) + - 0.2141582868514862*a(2)**3*a(4)*a(5) + - 0.5416790247652794*a(2)*a(3)*a(4)*a(5) - - 0.1806500478575348*a(1)*a(2)*a(3)*a(4)* - a(5) - 0.3212505144546886*a(4)**2*a(5) + - 0.2979991252707104*a(1)*a(4)**2*a(5) - - 0.03086711589016787*a(1)**2*a(4)**2*a(5) - - 0.2311076369212569*a(2)**2*a(4)**2*a(5) - - 0.2659773868088687*a(3)*a(4)**2*a(5) - - 0.917502735280058*a(5)**2 + - 0.7679504247091453*a(1)*a(5)**2 - - 0.2106131186829173*a(1)**2*a(5)**2 + - 0.02057891173319798*a(1)**3*a(5)**2 - - 0.7582072272585023*a(2)**2*a(5)**2 + - 0.2109989684036754*a(1)*a(2)**2*a(5)**2 - - 0.5375549278954904*a(3)*a(5)**2 + - 0.3191346637518386*a(1)*a(3)*a(5)**2 - - 0.04966400384557354*a(1)**2*a(3)*a(5)**2 - - 0.1549516919981894*a(2)**2*a(3)*a(5)**2 - - 0.1474161420180617*a(3)**2*a(5)**2 + - 0.952752495887705*a(2)*a(4)*a(5)**2 - - 0.2786906768656146*a(1)*a(2)*a(4)*a(5)**2 - - 0.3427190562840289*a(4)**2*a(5)**2 - - 0.1551270439608437*a(2)**2*a(5)**3 - - 0.2300442980536632*a(5)**4 Q(2)=a(2) - 0.7208950062914744*a(1)*a(2) + - 0.34104630662549*a(1)**2*a(2) - - 0.05215181986434142*a(1)**3*a(2) + - 0.004586529604189242*a(1)**4*a(2) + - 0.6820926132509801*a(2)**3 - - 0.3129109191860486*a(1)*a(2)**3 + - 0.04365110933642175*a(1)**2*a(2)**3 + - 0.02846811478462288*a(2)**5 + - 0.1611970238707875*a(2)*a(3) - - 0.4436961309613573*a(1)*a(2)*a(3) + - 0.1197546493691795*a(1)**2*a(2)*a(3) - - 0.01301424636926863*a(1)**3*a(2)*a(3) + - 0.1453202486727122*a(2)**3*a(3) - - 0.0611103742556962*a(1)*a(2)**3*a(3) + - 0.333414501162542*a(2)*a(3)**2 - - 0.1047048075737932*a(1)*a(2)*a(3)**2 + - 0.01952577755227663*a(1)**2*a(2)*a(3)**2 + - 0.03637220312482405*a(2)**3*a(3)**2 + - 0.006696129105507328*a(2)*a(3)**3 - - 0.01148420965114786*a(1)*a(2)*a(3)**3 + - 0.6243133889097595*a(1)*a(4) - - 0.1074017328743751*a(1)**2*a(4) + - 0.05732455493275448*a(1)**3*a(4) - - 0.001095738248948212*a(1)**4*a(4) - - 0.6444103972462504*a(2)**2*a(4) + - 0.5940908420303646*a(1)*a(2)**2*a(4) - - 0.07889315392427127*a(1)**2*a(2)**2*a(4) - - 0.06574429493689273*a(2)**4*a(4) - - 0.7614584601084466*a(3)*a(4) + - 0.2549365033381228*a(1)*a(3)*a(4) - - 0.111867579586525*a(1)**2*a(3)*a(4) + - 0.0104635613094201*a(1)**3*a(3)*a(4) - - 0.6712054775191501*a(2)**2*a(3)*a(4) + - 0.1369775298687723*a(1)*a(2)**2*a(3)*a(4) + - 0.04957003055740387*a(3)**2*a(4) + - 0.1293021244419028*a(1)*a(3)**2*a(4) - - 0.00828622367455388*a(1)**2*a(3)**2*a(4) - - 0.03506226701495089*a(2)**2*a(3)**2*a(4) - - 0.06584775098726955*a(3)**3*a(4) + - 1.159080454685232*a(2)*a(4)**2 - - 0.3249459545393581*a(1)*a(2)*a(4)**2 + - 0.07535677442988409*a(1)**2*a(2)*a(4)**2 + - 0.1373167889611221*a(2)**3*a(4)**2 + - 0.102578999063091*a(2)*a(3)*a(4)**2 - - 0.134518501844582*a(1)*a(2)*a(3)*a(4)**2 + - 0.0991400611148077*a(4)**3 + - 0.196804086988387*a(1)*a(4)**3 - - 0.004335459697076826*a(1)**2*a(4)**3 - - 0.04946087823425675*a(2)**2*a(4)**3 - - 0.2478057374432156*a(3)*a(4)**3 + - 1.348671062689471*a(2)*a(5) - - 0.928057041757989*a(1)*a(2)*a(5) + - 0.2589281288463284*a(1)**2*a(2)*a(5) - - 0.02367065154920281*a(1)**3*a(2)*a(5) + - 0.6754646839469436*a(2)**3*a(5) - - 0.1704286911542602*a(1)*a(2)**3*a(5) + - 0.4310027928764776*a(2)*a(3)*a(5) - - 0.3624923879293865*a(1)*a(2)*a(3)*a(5) + - 0.05380096076290488*a(1)**2*a(2)*a(3)*a(5) + - 0.1008768014304467*a(2)**3*a(3)*a(5) + - 0.2157513666959943*a(2)*a(3)**2*a(5) - - 0.04970397122827033*a(1)*a(2)*a(3)**2*a(5) - - 0.4247212369592862*a(4)*a(5) + - 0.5873345581594474*a(1)*a(4)*a(5) - - 0.1559918868419413*a(1)**2*a(4)*a(5) + - 0.01712301617844091*a(1)**3*a(4)*a(5) - - 0.935951321051648*a(2)**2*a(4)*a(5) + - 0.3212374302772293*a(1)*a(2)**2*a(4)*a(5) - - 0.6635722093032396*a(3)*a(4)*a(5) + - 0.2708395123826397*a(1)*a(3)*a(4)*a(5) - - 0.04516251196438371*a(1)**2*a(3)*a(4)*a(5) - - 0.3200203336480763*a(2)**2*a(3)*a(4)*a(5) - - 0.0693270444463179*a(3)**2*a(4)*a(5) + - 0.97743713088793*a(2)*a(4)**2*a(5) - - 0.2311076369212569*a(1)*a(2)*a(4)**2*a(5) - - 0.1173561253950209*a(4)**3*a(5) + - 1.502511700517893*a(2)*a(5)**2 - - 0.7582072272585023*a(1)*a(2)*a(5)**2 + - 0.1054994842018377*a(1)**2*a(2)*a(5)**2 + - 0.2297544322617799*a(2)**3*a(5)**2 + - 0.448783120901023*a(2)*a(3)*a(5)**2 - - 0.1549516919981894*a(1)*a(2)*a(3)*a(5)**2 - - 0.6939804278036542*a(4)*a(5)**2 + - 0.4763762479438526*a(1)*a(4)*a(5)**2 - - 0.06967266921640366*a(1)**2*a(4)*a(5)**2 - - 0.3770018052077793*a(2)**2*a(4)*a(5)**2 - - 0.4745713651035168*a(3)*a(4)*a(5)**2 + - 0.5840782855305924*a(2)*a(5)**3 - - 0.1551270439608437*a(1)*a(2)*a(5)**3 - - 0.3194694524642236*a(4)*a(5)**3 Q(3)=0.7253866074185439*a(1)**2 + - 0.4159651227762724*a(1)**3 + - 0.3431172538105704*a(1)**4 + - 0.1018506237594936*a(1)**5 + - 0.02149395085367758*a(1)**6 + - 0.001709455587157965*a(1)**7 + - 0.2417955358061812*a(2)**2 - - 1.109240327403393*a(1)*a(2)**2 + - 0.5987732468458975*a(1)**2*a(2)**2 - - 0.1952136955390295*a(1)**3*a(2)**2 + - 0.0298395874488784*a(1)**4*a(2)**2 - - 0.001641495579105813*a(1)**5*a(2)**2 + - 0.3633006216817805*a(2)**4 - - 0.4583278069177215*a(1)*a(2)**4 + - 0.1360496229859152*a(1)**2*a(2)**4 - - 0.01411477090313916*a(1)**3*a(2)**4 + - 0.04251550718309852*a(2)**6 - - 0.01467936173926472*a(1)*a(2)**6 + a(3) + - 0.98303864494292*a(1)*a(3) + - 2.133328120814691*a(1)**2*a(3) + - 1.237602802165333*a(1)**3*a(3) + - 0.6150508289301318*a(1)**4*a(3) + - 0.1337691432996902*a(1)**5*a(3) + - 0.01360090102377843*a(1)**6*a(3) + - 1.66707250581271*a(2)**2*a(3) - - 1.047048075737932*a(1)*a(2)**2*a(3) + - 0.585773326568299*a(1)**2*a(2)**2*a(3) - - 0.096246179574597*a(1)**3*a(2)**2*a(3) + - 0.00894595655713079*a(1)**4*a(2)**2*a(3) + - 0.5455830468723608*a(2)**4*a(3) - - 0.2513786538611933*a(1)*a(2)**4*a(3) + - 0.039073244986104*a(1)**2*a(2)**4*a(3) + - 0.01535997245011089*a(2)**6*a(3) + - 0.4108833230832312*a(3)**2 + - 1.439879271148635*a(1)*a(3)**2 + - 2.299479228997622*a(1)**2*a(3)**2 + - 1.238336461600915*a(1)**3*a(3)**2 + - 0.3920601059763521*a(1)**4*a(3)**2 + - 0.1004419365826099*a(2)**2*a(3)**2 - - 0.5167894343016537*a(1)*a(2)**2*a(3)**2 + - 0.1368104267986654*a(1)**2*a(2)**2*a(3)**2 + - 0.07572235595137124*a(2)**4*a(3)**2 + - 1.001884902824326*a(3)**3 + - 1.639820142102643*a(1)*a(3)**3 + - 1.563121605853063*a(1)**2*a(3)**3 + - 0.2839443260518033*a(2)**2*a(3)**3 + - 0.4421469795142661*a(3)**4 - - 2.28437538032534*a(2)*a(4) + - 1.274682516690614*a(1)*a(2)*a(4) - - 1.11867579586525*a(1)**2*a(2)*a(4) + - 0.3139068392826032*a(1)**3*a(2)*a(4) - - 0.03625968047934373*a(1)**4*a(2)*a(4) + - 0.004047419500970387*a(1)**5*a(2)*a(4) - - 2.2373515917305*a(2)**3*a(4) + - 1.369775298687723*a(1)*a(2)**3*a(4) - - 0.4568202975354849*a(1)**2*a(2)**3*a(4) + - 0.04281028948677405*a(1)**3*a(2)**3*a(4) - - 0.2697513521646189*a(2)**5*a(4) + - 0.06943090096966652*a(1)*a(2)**5*a(4) + - 0.4957003055740387*a(2)*a(3)*a(4) + - 2.586042488838057*a(1)*a(2)*a(3)*a(4) - - 0.4971734204732327*a(1)**2*a(2)*a(3)*a(4) + - 0.2362656832105633*a(1)**3*a(2)*a(3)*a(4) - - 0.701245340299018*a(2)**3*a(3)*a(4) + - 0.84168205241559*a(1)*a(2)**3*a(3)*a(4) - - 1.975432529618087*a(2)*a(3)**2*a(4) + - 0.5596253029507079*a(1)*a(2)*a(3)**2*a(4) - - 0.502190728212838*a(4)**2 - - 1.055911465508999*a(1)*a(4)**2 + - 0.3597388508809788*a(1)**2*a(4)**2 - - 0.0510829753840185*a(1)**3*a(4)**2 + - 0.04389539645132189*a(1)**4*a(4)**2 + - 0.5128949953154548*a(2)**2*a(4)**2 - - 2.017777527668731*a(1)*a(2)**2*a(4)**2 + - 0.4430563380133424*a(1)**2*a(2)**2*a(4)**2 + - 0.3334110826464041*a(2)**4*a(4)**2 + - 2.357301970476392*a(3)*a(4)**2 + - 0.4312492234650306*a(1)*a(3)*a(4)**2 + - 0.848279311319137*a(1)**2*a(3)*a(4)**2 + - 2.829924510063731*a(2)**2*a(3)*a(4)**2 - - 0.5429263470148466*a(3)**2*a(4)**2 - - 2.478057374432156*a(2)*a(4)**3 + - 0.3391668502731562*a(1)*a(2)*a(4)**3 - - 0.5342656201202655*a(4)**4 + - 1.077506982191194*a(2)**2*a(5) - - 1.812461939646932*a(1)*a(2)**2*a(5) + - 0.807014411443573*a(1)**2*a(2)**2*a(5) - - 0.1674510121095591*a(1)**3*a(2)**2*a(5) + - 0.01249899071225676*a(1)**4*a(2)**2*a(5) + - 0.7565760107283499*a(2)**4*a(5) - - 0.5224471577818243*a(1)*a(2)**4*a(5) + - 0.07921895521852879*a(1)**2*a(2)**4*a(5) + - 0.02957507661491741*a(2)**6*a(5) + - 2.157513666959943*a(2)**2*a(3)*a(5) - - 1.49111913684811*a(1)*a(2)**2*a(3)*a(5) + - 0.4635466253209059*a(1)**2*a(2)**2*a(3)* - a(5) + 0.5466704951280473*a(2)**4*a(3)* - a(5) + 0.4491672316324099*a(2)**2*a(3)**2* - a(5) - 3.317861046516197*a(2)*a(4)*a(5) + - 2.708395123826397*a(1)*a(2)*a(4)*a(5) - - 1.354875358931511*a(1)**2*a(2)*a(4)*a(5) + - 0.2539405829700434*a(1)**3*a(2)*a(4)*a(5) - - 3.200203336480763*a(2)**3*a(4)*a(5) + - 1.647391193074698*a(1)*a(2)**3*a(4)*a(5) - - 1.386540888926358*a(2)*a(3)*a(4)*a(5) + - 2.496330130305126*a(1)*a(2)*a(3)*a(4)* - a(5) + 0.2535310546332221*a(4)**2*a(5) - - 1.329886934044343*a(1)*a(4)**2*a(5) + - 0.4380176904216763*a(1)**2*a(4)**2*a(5) + - 2.373259486284719*a(2)**2*a(4)**2*a(5) + - 1.865160840904889*a(3)*a(4)**2*a(5) + - 0.6391518359072485*a(5)**2 - - 1.343887319738726*a(1)*a(5)**2 + - 0.7978366593795964*a(1)**2*a(5)**2 - - 0.2483200192278677*a(1)**3*a(5)**2 + - 0.03707053871929818*a(1)**4*a(5)**2 + - 2.243915604505115*a(2)**2*a(5)**2 - - 2.324275379972841*a(1)*a(2)**2*a(5)**2 + - 0.7048623559303175*a(1)**2*a(2)**2*a(5)**2 + - 0.6140134300548544*a(2)**4*a(5)**2 + - 1.599733045845522*a(3)*a(5)**2 - - 1.474161420180617*a(1)*a(3)*a(5)**2 + - 0.6874124286414478*a(1)**2*a(3)*a(5)**2 + - 2.432040741073943*a(2)**2*a(3)*a(5)**2 + - 0.4440590880494333*a(3)**2*a(5)**2 - - 4.745713651035167*a(2)*a(4)*a(5)**2 + - 3.664476621429536*a(1)*a(2)*a(4)*a(5)**2 + - 1.173134824811446*a(4)**2*a(5)**2 + - 1.560935769502701*a(2)**2*a(5)**3 + - 0.7715920324263203*a(5)**4 Q(4)=0.936470083364639*a(1)*a(2) - - 0.2685043321859377*a(1)**2*a(2) + - 0.2866227746637724*a(1)**3*a(2) - - 0.01643607373422318*a(1)**4*a(2) + - 0.00945280998064217*a(1)**5*a(2) + - 0.00005061691911425089*a(1)**6*a(2) - - 0.5370086643718754*a(2)**3 + - 0.990151403383941*a(1)*a(2)**3 - - 0.3944657696213563*a(1)**2*a(2)**3 + - 0.0865999365968509*a(1)**3*a(2)**3 - - 0.005932302920190205*a(1)**4*a(2)**3 - - 0.1972328848106782*a(2)**5 + - 0.135388633271133*a(1)*a(2)**5 - - 0.01980133875749495*a(1)**2*a(2)**5 - - 0.005102185446716491*a(2)**7 - - 1.14218769016267*a(2)*a(3) + - 0.6373412583453072*a(1)*a(2)*a(3) - - 0.559337897932625*a(1)**2*a(2)*a(3) + - 0.1569534196413016*a(1)**3*a(2)*a(3) - - 0.01812984023967187*a(1)**4*a(2)*a(3) + - 0.002023709750485193*a(1)**5*a(2)*a(3) - - 1.11867579586525*a(2)**3*a(3) + - 0.6848876493438614*a(1)*a(2)**3*a(3) - - 0.2284101487677424*a(1)**2*a(2)**3*a(3) + - 0.02140514474338702*a(1)**3*a(2)**3*a(3) - - 0.1348756760823094*a(2)**5*a(3) + - 0.03471545048483326*a(1)*a(2)**5*a(3) + - 0.1239250763935097*a(2)*a(3)**2 + - 0.6465106222095144*a(1)*a(2)*a(3)**2 - - 0.1242933551183082*a(1)**2*a(2)*a(3)**2 + - 0.05906642080264083*a(1)**3*a(2)*a(3)**2 - - 0.1753113350747545*a(2)**3*a(3)**2 + - 0.2104205131038975*a(1)*a(2)**3*a(3)**2 - - 0.3292387549363478*a(2)*a(3)**3 + - 0.093270883825118*a(1)*a(2)*a(3)**3 + a(4) + - 0.3932154579771678*a(1)*a(4) + - 1.067260295209138*a(1)**2*a(4) + - 0.1905547264274013*a(1)**3*a(4) + - 0.1324325535814074*a(1)**4*a(4) + - 0.01286099211043791*a(1)**5*a(4) + - 0.001442676255619877*a(1)**6*a(4) + - 2.897701136713079*a(2)**2*a(4) - - 1.62472977269679*a(1)*a(2)**2*a(4) + - 1.130351616448261*a(1)**2*a(2)**2*a(4) - - 0.1561109474615691*a(1)**3*a(2)**2*a(4) + - 0.01688544916604656*a(1)**4*a(2)**2*a(4) + - 1.029875917208416*a(2)**4*a(4) - - 0.4870127848160062*a(1)*a(2)**4*a(4) + - 0.07837794161186722*a(1)**2*a(2)**4*a(4) + - 0.03093035548173015*a(2)**6*a(4) - - 0.502190728212838*a(3)*a(4) - - 1.055911465508999*a(1)*a(3)*a(4) + - 0.3597388508809788*a(1)**2*a(3)*a(4) - - 0.0510829753840185*a(1)**3*a(3)*a(4) + - 0.04389539645132189*a(1)**4*a(3)*a(4) + - 0.5128949953154548*a(2)**2*a(3)*a(4) - - 2.017777527668731*a(1)*a(2)**2*a(3)*a(4) + - 0.4430563380133424*a(1)**2*a(2)**2*a(3)* - a(4) + 0.3334110826464041*a(2)**4*a(3)* - a(4) + 1.178650985238196*a(3)**2*a(4) + - 0.2156246117325153*a(1)*a(3)**2*a(4) + - 0.4241396556595687*a(1)**2*a(3)**2*a(4) + - 1.414962255031866*a(2)**2*a(3)**2*a(4) - - 0.1809754490049489*a(3)**3*a(4) + - 0.7435504583610582*a(2)*a(4)**2 + - 2.952061304825805*a(1)*a(2)*a(4)**2 - - 0.1950956863684572*a(1)**2*a(2)*a(4)**2 + - 0.2524815052894102*a(1)**3*a(2)*a(4)**2 - - 0.7419131735138512*a(2)**3*a(4)**2 + - 0.88397414895377*a(1)*a(2)**3*a(4)**2 - - 3.717086061648234*a(2)*a(3)*a(4)**2 + - 0.5087502754097344*a(1)*a(2)*a(3)*a(4)**2 + - 1.862356939717557*a(4)**3 + - 0.858474348421834*a(1)*a(4)**3 + - 0.7337370141857135*a(1)**2*a(4)**3 + - 1.975140719267488*a(2)**2*a(4)**3 - - 1.068531240240531*a(3)*a(4)**3 - - 0.6370818554389293*a(2)*a(5) + - 1.468336395398618*a(1)*a(2)*a(5) - - 0.7799594342097068*a(1)**2*a(2)*a(5) + - 0.2568452426766136*a(1)**3*a(2)*a(5) - - 0.03518902768394969*a(1)**4*a(2)*a(5) + - 0.002310572265454827*a(1)**5*a(2)*a(5) - - 1.559918868419414*a(2)**3*a(5) + - 1.606187151386146*a(1)*a(2)**3*a(5) - - 0.4698275641624955*a(1)**2*a(2)**3*a(5) + - 0.04757506172805349*a(1)**3*a(2)**3*a(5) - - 0.2723846921064775*a(2)**5*a(5) + - 0.0859078343942877*a(1)*a(2)**5*a(5) - - 1.658930523258099*a(2)*a(3)*a(5) + - 1.354197561913198*a(1)*a(2)*a(3)*a(5) - - 0.6774376794657555*a(1)**2*a(2)*a(3)*a(5) + - 0.1269702914850217*a(1)**3*a(2)*a(3)*a(5) - - 1.600101668240382*a(2)**3*a(3)*a(5) + - 0.823695596537349*a(1)*a(2)**3*a(3)*a(5) - - 0.3466352222315895*a(2)*a(3)**2*a(5) + - 0.6240825325762815*a(1)*a(2)*a(3)**2*a(5) + - 1.145898839977417*a(4)*a(5) - - 0.803126286136722*a(1)*a(4)*a(5) + - 0.744997813176776*a(1)**2*a(4)*a(5) - - 0.1543355794508394*a(1)**3*a(4)*a(5) + - 0.03338683959971521*a(1)**4*a(4)*a(5) + - 4.887185654439652*a(2)**2*a(4)*a(5) - - 3.466614553818853*a(1)*a(2)**2*a(4)*a(5) + - 1.115806901014781*a(1)**2*a(2)**2*a(4)* - a(5) + 1.179460314831061*a(2)**4*a(4)* - a(5) + 0.2535310546332221*a(3)*a(4)*a(5) - - 1.329886934044343*a(1)*a(3)*a(4)*a(5) + - 0.4380176904216763*a(1)**2*a(3)*a(4)*a(5) + - 2.373259486284719*a(2)**2*a(3)*a(4)*a(5) + - 0.932580420452444*a(3)**2*a(4)*a(5) - - 1.760341880925313*a(2)*a(4)**2*a(5) + - 3.146116226826066*a(1)*a(2)*a(4)**2*a(5) + - 1.56214278299804*a(4)**3*a(5) - - 1.734951069509135*a(2)*a(5)**2 + - 2.381881239719263*a(1)*a(2)*a(5)**2 - - 1.045090038246055*a(1)**2*a(2)*a(5)**2 + - 0.2116530696514583*a(1)**3*a(2)*a(5)**2 - - 1.885009026038896*a(2)**3*a(5)**2 + - 1.189031894475071*a(1)*a(2)**3*a(5)**2 - - 2.372856825517583*a(2)*a(3)*a(5)**2 + - 1.832238310714768*a(1)*a(2)*a(3)*a(5)**2 + - 1.811852344742165*a(4)*a(5)**2 - - 1.713595281420144*a(1)*a(4)*a(5)**2 + - 0.827338060319675*a(1)**2*a(4)*a(5)**2 + - 4.897397108737941*a(2)**2*a(4)*a(5)**2 + - 1.173134824811446*a(3)*a(4)*a(5)**2 - - 1.597347262321118*a(2)*a(5)**3 + - 1.511369559945855*a(1)*a(2)*a(5)**3 + - 1.383343307835614*a(4)*a(5)**3 Q(5)=1.011503297017103*a(2)**2 - - 1.160071302197487*a(1)*a(2)**2 + - 0.6473203221158209*a(1)**2*a(2)**2 - - 0.177529886619021*a(1)**3*a(2)**2 + - 0.02601954633394212*a(1)**4*a(2)**2 - - 0.001487092579050576*a(1)**5*a(2)**2 + - 0.84433085493368*a(2)**4 - - 0.639107591828476*a(1)*a(2)**4 + - 0.1778551268396044*a(1)**2*a(2)**4 - - 0.01679539853986532*a(1)**3*a(2)**4 + - 0.0829990591918154*a(2)**6 - - 0.02204396058357323*a(1)*a(2)**6 + - 0.5387534910955969*a(2)**2*a(3) - - 0.906230969823466*a(1)*a(2)**2*a(3) + - 0.4035072057217867*a(1)**2*a(2)**2*a(3) - - 0.0837255060547795*a(1)**3*a(2)**2*a(3) + - 0.006249495356128381*a(1)**4*a(2)**2*a(3) + - 0.3782880053641749*a(2)**4*a(3) - - 0.2612235788909122*a(1)*a(2)**4*a(3) + - 0.03960947760926439*a(1)**2*a(2)**4*a(3) + - 0.01478753830745871*a(2)**6*a(3) + - 0.5393784167399858*a(2)**2*a(3)**2 - - 0.3727797842120274*a(1)*a(2)**2*a(3)**2 + - 0.1158866563302265*a(1)**2*a(2)**2*a(3)**2 + - 0.1366676237820118*a(2)**4*a(3)**2 + - 0.07486120527206832*a(2)**2*a(3)**3 - - 0.6370818554389293*a(2)*a(4) + - 1.468336395398618*a(1)*a(2)*a(4) - - 0.7799594342097068*a(1)**2*a(2)*a(4) + - 0.2568452426766136*a(1)**3*a(2)*a(4) - - 0.03518902768394969*a(1)**4*a(2)*a(4) + - 0.002310572265454827*a(1)**5*a(2)*a(4) - - 1.559918868419414*a(2)**3*a(4) + - 1.606187151386146*a(1)*a(2)**3*a(4) - - 0.4698275641624955*a(1)**2*a(2)**3*a(4) + - 0.04757506172805349*a(1)**3*a(2)**3*a(4) - - 0.2723846921064775*a(2)**5*a(4) + - 0.0859078343942877*a(1)*a(2)**5*a(4) - - 1.658930523258099*a(2)*a(3)*a(4) + - 1.354197561913198*a(1)*a(2)*a(3)*a(4) - - 0.6774376794657555*a(1)**2*a(2)*a(3)*a(4) + - 0.1269702914850217*a(1)**3*a(2)*a(3)*a(4) - - 1.600101668240382*a(2)**3*a(3)*a(4) + - 0.823695596537349*a(1)*a(2)**3*a(3)*a(4) - - 0.3466352222315895*a(2)*a(3)**2*a(4) + - 0.6240825325762815*a(1)*a(2)*a(3)**2*a(4) + - 0.5729494199887088*a(4)**2 - - 0.4015631430683607*a(1)*a(4)**2 + - 0.372498906588388*a(1)**2*a(4)**2 - - 0.07716778972541969*a(1)**3*a(4)**2 + - 0.01669341979985761*a(1)**4*a(4)**2 + - 2.443592827219826*a(2)**2*a(4)**2 - - 1.733307276909427*a(1)*a(2)**2*a(4)**2 + - 0.5579034505073907*a(1)**2*a(2)**2*a(4)**2 + - 0.5897301574155304*a(2)**4*a(4)**2 + - 0.126765527316611*a(3)*a(4)**2 - - 0.6649434670221718*a(1)*a(3)*a(4)**2 + - 0.2190088452108381*a(1)**2*a(3)*a(4)**2 + - 1.186629743142359*a(2)**2*a(3)*a(4)**2 + - 0.4662902102262222*a(3)**2*a(4)**2 - - 0.5867806269751045*a(2)*a(4)**3 + - 1.048705408942022*a(1)*a(2)*a(4)**3 + - 0.3905356957495099*a(4)**4 + a(5) - - 1.376254102920087*a(1)*a(5) + - 0.959938030886432*a(1)**2*a(5) - - 0.3510218644715288*a(1)**3*a(5) + - 0.07717091899949242*a(1)**4*a(5) - - 0.00882108392589113*a(1)**5*a(5) + - 0.0004432259934551278*a(1)**6*a(5) + - 3.756279251294733*a(2)**2*a(5) - - 3.791036136292511*a(1)*a(2)**2*a(5) + - 1.582492263027566*a(1)**2*a(2)**2*a(5) - - 0.2988790789007818*a(1)**3*a(2)**2*a(5) + - 0.02172489254073903*a(1)**4*a(2)**2*a(5) + - 1.723158241963349*a(2)**4*a(5) - - 0.915317179133644*a(1)*a(2)**4*a(5) + - 0.1288764811738756*a(1)**2*a(2)**4*a(5) + - 0.05744208875178457*a(2)**6*a(5) + - 0.6391518359072485*a(3)*a(5) - - 1.343887319738726*a(1)*a(3)*a(5) + - 0.7978366593795964*a(1)**2*a(3)*a(5) - - 0.2483200192278677*a(1)**3*a(3)*a(5) + - 0.03707053871929818*a(1)**4*a(3)*a(5) + - 2.243915604505115*a(2)**2*a(3)*a(5) - - 2.324275379972841*a(1)*a(2)**2*a(3)*a(5) + - 0.7048623559303175*a(1)**2*a(2)**2*a(3)* - a(5) + 0.6140134300548544*a(2)**4*a(3)* - a(5) + 0.7998665229227609*a(3)**2*a(5) - - 0.7370807100903088*a(1)*a(3)**2*a(5) + - 0.3437062143207239*a(1)**2*a(3)**2*a(5) + - 1.216020370536972*a(2)**2*a(3)**2*a(5) + - 0.1480196960164778*a(3)**3*a(5) - - 3.469902139018271*a(2)*a(4)*a(5) + - 4.763762479438526*a(1)*a(2)*a(4)*a(5) - - 2.09018007649211*a(1)**2*a(2)*a(4)*a(5) + - 0.4233061393029167*a(1)**3*a(2)*a(4)*a(5) - - 3.770018052077792*a(2)**3*a(4)*a(5) + - 2.378063788950143*a(1)*a(2)**3*a(4)*a(5) - - 4.745713651035167*a(2)*a(3)*a(4)*a(5) + - 3.664476621429536*a(1)*a(2)*a(3)*a(4)* - a(5) + 1.811852344742165*a(4)**2*a(5) - - 1.713595281420144*a(1)*a(4)**2*a(5) + - 0.827338060319675*a(1)**2*a(4)**2*a(5) + - 4.897397108737941*a(2)**2*a(4)**2*a(5) + - 1.173134824811446*a(3)*a(4)**2*a(5) + - 4.380587141479444*a(2)**2*a(5)**2 - - 3.490358489118982*a(1)*a(2)**2*a(5)**2 + - 0.982883595692551*a(1)**2*a(2)**2*a(5)**2 + - 1.179460314831061*a(2)**4*a(5)**2 + - 2.341403654254052*a(2)**2*a(3)*a(5)**2 - - 4.792041786963354*a(2)*a(4)*a(5)**2 + - 4.534108679837565*a(1)*a(2)*a(4)*a(5)**2 + - 2.07501496175342*a(4)**2*a(5)**2 + - 2.165384509569904*a(5)**3 - - 2.300442980536632*a(1)*a(5)**3 + - 0.971705775543242*a(1)**2*a(5)**3 + - 3.498140791955671*a(2)**2*a(5)**3 + - 1.54318406485264*a(3)*a(5)**3 Q(6)=1. + 0.3978873577297384*(2.*a(1)**2 + 4.*a(2)**2) + - 0.3978873577297384* - (0.3604475031457372*a(1)**3 - - 2.162685018874423*a(1)*a(2)**2) + - 0.3978873577297384* - (0.170523153312745*a(1)**4 + - 0.6820926132509801*a(1)**2*a(2)**2 + - 0.6820926132509801*a(2)**4 + - 1.450773214837088*a(1)**2*a(3) + - 0.4835910716123625*a(2)**2*a(3) + - 2.*a(3)**2 + - 3.745880333458557*a(1)*a(2)*a(4) + - 4.*a(4)**2 + - 4.046013188068412*a(2)**2*a(5) + 4.*a(5)**2 - ) + 0.3978873577297384* - (0.01303795496608535*a(1)**5 - - 0.05215181986434142*a(1)**3*a(2)**2 - - 0.1564554595930243*a(1)*a(2)**4 + - 0.3327720982210179*a(1)**3*a(3) - - 0.887392261922714*a(1)*a(2)**2*a(3) + - 0.98303864494292*a(1)*a(3)**2 - - 0.4296069314975003*a(1)**2*a(2)*a(4) - - 0.859213862995001*a(2)**3*a(4) - - 4.56875076065068*a(2)*a(3)*a(4) + - 0.7864309159543357*a(1)*a(4)**2 - - 1.856114083515979*a(1)*a(2)**2*a(5) - - 2.548327421755717*a(2)*a(4)*a(5) - - 2.752508205840175*a(1)*a(5)**2) + - 0.3978873577297384* - (0.0686234507621141*a(1)**4*a(3) + - 0.1197546493691795*a(1)**2*a(2)**2*a(3) + - 0.0726601243363561*a(2)**4*a(3) + - 0.853331248325877*a(1)**2*a(3)**2 + - 0.666829002325084*a(2)**2*a(3)**2 + - 0.2739222153888207*a(3)**3 + - 0.114649109865509*a(1)**3*a(2)*a(4) + - 0.3960605613535763*a(1)*a(2)**3*a(4) + - 1.019746013352491*a(1)*a(2)*a(3)*a(4) + - 0.853808236167311*a(1)**2*a(4)**2 + - 2.318160909370464*a(2)**2*a(4)**2 - - 1.004381456425676*a(3)*a(4)**2 + - 0.2589281288463284*a(1)**2*a(2)**2*a(5) + - 0.3377323419734718*a(2)**4*a(5) + - 0.862005585752955*a(2)**2*a(3)*a(5) + - 2.349338232637789*a(1)*a(2)*a(4)*a(5) + - 2.291797679954835*a(4)**2*a(5) + - 0.7679504247091453*a(1)**2*a(5)**2 + - 3.005023401035786*a(2)**2*a(5)**2 + - 1.278303671814497*a(3)*a(5)**2) + - 0.3978873577297384* - (0.1237602802165333*a(1)**3*a(3)**2 - - 0.1047048075737932*a(1)*a(2)**2*a(3)**2 + - 0.383967805639636*a(1)*a(3)**3 - - 0.22373515917305*a(1)**2*a(2)*a(3)*a(4) - - 0.4474703183461001*a(2)**3*a(3)*a(4) + - 0.1982801222296155*a(2)*a(3)**2*a(4) + - 0.03811094528548027*a(1)**3*a(4)**2 - - 0.3249459545393581*a(1)*a(2)**2*a(4)**2 - - 0.844729172407199*a(1)*a(3)*a(4)**2 + - 0.3965602444592309*a(2)*a(4)**3 - - 0.3624923879293865*a(1)*a(2)**2*a(3)* - a(5) - 0.3119837736838827*a(1)**2*a(2)* - a(4)*a(5) - - 0.6239675473677654*a(2)**3*a(4)*a(5) - - 2.654288837212958*a(2)*a(3)*a(4)*a(5) - - 0.6425010289093773*a(1)*a(4)**2*a(5) - - 0.07020437289430576*a(1)**3*a(5)**2 - - 0.7582072272585023*a(1)*a(2)**2*a(5)**2 - - 1.075109855790981*a(1)*a(3)*a(5)**2 - - 2.775921711214617*a(2)*a(4)*a(5)**2) + - 0.3978873577297384* - (0.1532986152665082*a(1)**2*a(3)**3 + - 0.006696129105507328*a(2)**2*a(3)**3 + - 0.2003769805648652*a(3)**4 + - 0.2586042488838057*a(1)*a(2)*a(3)**2* - a(4) + 0.07194777017619575*a(1)**2*a(3)* - a(4)**2 + - 0.102578999063091*a(2)**2*a(3)*a(4)**2 + - 0.942920788190557*a(3)**2*a(4)**2 + - 0.393608173976774*a(1)*a(2)*a(4)**3 + - 0.7449427758870227*a(4)**4 + - 0.2157513666959943*a(2)**2*a(3)**2*a(5) + - 0.5416790247652794*a(1)*a(2)*a(3)*a(4)* - a(5) + 0.1489995626353552*a(1)**2*a(4)**2* - a(5) + 0.97743713088793*a(2)**2*a(4)**2* - a(5) + 0.2028248437065776*a(3)*a(4)**2* - a(5) + 0.1595673318759193*a(1)**2*a(3)* - a(5)**2 + - 0.448783120901023*a(2)**2*a(3)*a(5)**2 + - 0.6398932183382086*a(3)**2*a(5)**2 + - 0.952752495887705*a(1)*a(2)*a(4)* - a(5)**2 + - 1.449481875793732*a(4)**2*a(5)**2 + - 0.5840782855305924*a(2)**2*a(5)**3 + - 0.866153803827962*a(5)**4) Q(7)=1. + 0.238732414637843*(a(1)**2 + 2.*a(2)**2) + - 0.238732414637843* - (0.06007458385762286*a(1)**3 - - 0.3604475031457372*a(1)*a(2)**2) + - 0.238732414637843* - (0.2417955358061812*a(1)**2*a(3) + - 0.0805985119353938*a(2)**2*a(3) + - a(3)**2 + 0.6243133889097595*a(1)*a(2)* - a(4) + 2.*a(4)**2 + - 0.6743355313447354*a(2)**2*a(5) + - 2.*a(5)**2) + - 0.238732414637843* - (0.1638397741571532*a(1)*a(3)**2 - - 0.7614584601084466*a(2)*a(3)*a(4) + - 0.1310718193257226*a(1)*a(4)**2 - - 0.4247212369592862*a(2)*a(4)*a(5) - - 0.4587513676400292*a(1)*a(5)**2) + - 0.238732414637843* - (0.04565370256480346*a(3)**3 - - 0.1673969094042793*a(3)*a(4)**2 + - 0.3819662799924725*a(4)**2*a(5) + - 0.2130506119690828*a(3)*a(5)**2) alpha(1,1)=1. + 0.7208950062914744*a(1) + - 1.02313891987647*a(1)**2 + - 0.2607590993217071*a(1)**3 + - 0.04191139121069479*a(1)**4 + - 0.6820926132509801*a(2)**2 - - 0.3129109191860486*a(1)*a(2)**2 + - 0.0550383552502709*a(1)**2*a(2)**2 + - 0.04365110933642175*a(2)**4 + - 0.967182143224725*a(3) + - 0.998316294663054*a(1)*a(3) + - 0.823481409145369*a(1)**2*a(3) + - 0.1358008316793249*a(1)**3*a(3) + - 0.239509298738359*a(2)**2*a(3) - - 0.07808547821561181*a(1)*a(2)**2*a(3) + - 0.853331248325877*a(3)**2 + - 0.7425616812991997*a(1)*a(3)**2 + - 0.2460203315720527*a(1)**2*a(3)**2 + - 0.03905155510455326*a(2)**2*a(3)**2 + - 0.3065972305330163*a(3)**3 + - 0.1651115282134553*a(1)*a(3)**3 - - 0.4296069314975003*a(2)*a(4) + - 0.6878946591930538*a(1)*a(2)*a(4) - - 0.02629771797475709*a(1)**2*a(2)*a(4) - - 0.1051908718990284*a(2)**3*a(4) - - 0.4474703183461001*a(2)*a(3)*a(4) + - 0.1255627357130412*a(1)*a(2)*a(3)*a(4) - - 0.03314489469821551*a(2)*a(3)**2*a(4) + - 0.853808236167311*a(4)**2 + - 0.2286656717128816*a(1)*a(4)**2 + - 0.1059460428651259*a(1)**2*a(4)**2 + - 0.1507135488597682*a(2)**2*a(4)**2 + - 0.1438955403523915*a(3)*a(4)**2 - - 0.0204331901536074*a(1)*a(3)*a(4)**2 - - 0.0173418387883073*a(2)*a(4)**3 + - 0.5178562576926568*a(2)**2*a(5) - - 0.1420239092952169*a(1)*a(2)**2*a(5) + - 0.1076019215258098*a(2)**2*a(3)*a(5) - - 0.6239675473677654*a(2)*a(4)*a(5) + - 0.2054761941412909*a(1)*a(2)*a(4)*a(5) - - 0.1806500478575348*a(2)*a(3)*a(4)*a(5) + - 0.2979991252707104*a(4)**2*a(5) - - 0.06173423178033575*a(1)*a(4)**2*a(5) + - 0.7679504247091453*a(5)**2 - - 0.4212262373658346*a(1)*a(5)**2 + - 0.06173673519959393*a(1)**2*a(5)**2 + - 0.2109989684036754*a(2)**2*a(5)**2 + - 0.3191346637518386*a(3)*a(5)**2 - - 0.0993280076911471*a(1)*a(3)*a(5)**2 - - 0.2786906768656146*a(2)*a(4)*a(5)**2 alpha(1,2)=-1.441790012582949*a(2) + 1.36418522650196*a(1)*a(2) - - 0.3129109191860486*a(1)**2*a(2) + - 0.03669223683351393*a(1)**3*a(2) - - 0.6258218383720972*a(2)**3 + - 0.174604437345687*a(1)*a(2)**3 - - 0.887392261922714*a(2)*a(3) + - 0.479018597476718*a(1)*a(2)*a(3) - - 0.07808547821561181*a(1)**2*a(2)*a(3) - - 0.1222207485113924*a(2)**3*a(3) - - 0.2094096151475863*a(2)*a(3)**2 + - 0.07810311020910653*a(1)*a(2)*a(3)**2 - - 0.02296841930229572*a(2)*a(3)**3 + - 1.248626777819519*a(4) - - 0.4296069314975003*a(1)*a(4) + - 0.3439473295965269*a(1)**2*a(4) - - 0.0087659059915857*a(1)**3*a(4) + - 1.188181684060729*a(2)**2*a(4) - - 0.3155726156970851*a(1)*a(2)**2*a(4) + - 0.5098730066762457*a(3)*a(4) - - 0.4474703183461001*a(1)*a(3)*a(4) + - 0.06278136785652063*a(1)**2*a(3)*a(4) + - 0.2739550597375445*a(2)**2*a(3)*a(4) + - 0.2586042488838057*a(3)**2*a(4) - - 0.03314489469821551*a(1)*a(3)**2*a(4) - - 0.6498919090787162*a(2)*a(4)**2 + - 0.3014270977195363*a(1)*a(2)*a(4)**2 - - 0.2690370036891641*a(2)*a(3)*a(4)**2 + - 0.393608173976774*a(4)**3 - - 0.0173418387883073*a(1)*a(4)**3 - - 1.856114083515979*a(2)*a(5) + - 1.035712515385313*a(1)*a(2)*a(5) - - 0.1420239092952169*a(1)**2*a(2)*a(5) - - 0.3408573823085204*a(2)**3*a(5) - - 0.724984775858773*a(2)*a(3)*a(5) + - 0.2152038430516195*a(1)*a(2)*a(3)*a(5) - - 0.0994079424565406*a(2)*a(3)**2*a(5) + - 1.174669116318895*a(4)*a(5) - - 0.6239675473677654*a(1)*a(4)*a(5) + - 0.1027380970706454*a(1)**2*a(4)*a(5) + - 0.6424748605544587*a(2)**2*a(4)*a(5) + - 0.5416790247652794*a(3)*a(4)*a(5) - - 0.1806500478575348*a(1)*a(3)*a(4)*a(5) - - 0.4622152738425138*a(2)*a(4)**2*a(5) - - 1.516414454517004*a(2)*a(5)**2 + - 0.4219979368073509*a(1)*a(2)*a(5)**2 - - 0.3099033839963789*a(2)*a(3)*a(5)**2 + - 0.952752495887705*a(4)*a(5)**2 - - 0.2786906768656146*a(1)*a(4)*a(5)**2 - - 0.3102540879216873*a(2)*a(5)**3 alpha(1,3)=0.967182143224725*a(1) + 0.4991581473315269*a(1)**2 + - 0.2744938030484564*a(1)**3 + - 0.03395020791983122*a(1)**4 - - 0.4436961309613573*a(2)**2 + - 0.239509298738359*a(1)*a(2)**2 - - 0.0390427391078059*a(1)**2*a(2)**2 - - 0.0305551871278481*a(2)**4 + - 0.655359096628613*a(3) + - 1.706662496651753*a(1)*a(3) + - 0.7425616812991997*a(1)**2*a(3) + - 0.1640135543813684*a(1)**3*a(3) - - 0.2094096151475863*a(2)**2*a(3) + - 0.07810311020910653*a(1)*a(2)**2*a(3) + - 0.5759517084594541*a(3)**2 + - 0.919791691599049*a(1)*a(3)**2 + - 0.247667292320183*a(1)**2*a(3)**2 - - 0.03445262895344358*a(2)**2*a(3)**2 + - 0.3279640284205286*a(3)**3 + - 0.5098730066762457*a(2)*a(4) - - 0.4474703183461001*a(1)*a(2)*a(4) + - 0.06278136785652063*a(1)**2*a(2)*a(4) + - 0.0913183532458482*a(2)**3*a(4) + - 0.5172084977676115*a(2)*a(3)*a(4) - - 0.06628978939643103*a(1)*a(2)*a(3)*a(4) - - 0.4223645862035996*a(4)**2 + - 0.1438955403523915*a(1)*a(4)**2 - - 0.0102165950768037*a(1)**2*a(4)**2 - - 0.134518501844582*a(2)**2*a(4)**2 + - 0.0862498446930061*a(3)*a(4)**2 - - 0.3624923879293865*a(2)**2*a(5) + - 0.1076019215258098*a(1)*a(2)**2*a(5) - - 0.0994079424565406*a(2)**2*a(3)*a(5) + - 0.5416790247652794*a(2)*a(4)*a(5) - - 0.1806500478575348*a(1)*a(2)*a(4)*a(5) - - 0.2659773868088687*a(4)**2*a(5) - - 0.5375549278954904*a(5)**2 + - 0.3191346637518386*a(1)*a(5)**2 - - 0.04966400384557354*a(1)**2*a(5)**2 - - 0.1549516919981894*a(2)**2*a(5)**2 - - 0.2948322840361234*a(3)*a(5)**2 alpha(1,4)=1.248626777819519*a(2) - - 0.4296069314975003*a(1)*a(2) + - 0.3439473295965269*a(1)**2*a(2) - - 0.0087659059915857*a(1)**3*a(2) + - 0.3960605613535763*a(2)**3 - - 0.1051908718990284*a(1)*a(2)**3 + - 0.5098730066762457*a(2)*a(3) - - 0.4474703183461001*a(1)*a(2)*a(3) + - 0.06278136785652063*a(1)**2*a(2)*a(3) + - 0.0913183532458482*a(2)**3*a(3) + - 0.2586042488838057*a(2)*a(3)**2 - - 0.03314489469821551*a(1)*a(2)*a(3)**2 + - 0.5242872773028905*a(4) + - 1.707616472334621*a(1)*a(4) + - 0.2286656717128816*a(1)**2*a(4) + - 0.07063069524341728*a(1)**3*a(4) - - 0.6498919090787162*a(2)**2*a(4) + - 0.3014270977195363*a(1)*a(2)**2*a(4) - - 0.844729172407199*a(3)*a(4) + - 0.287791080704783*a(1)*a(3)*a(4) - - 0.0204331901536074*a(1)**2*a(3)*a(4) - - 0.2690370036891641*a(2)**2*a(3)*a(4) + - 0.0862498446930061*a(3)**2*a(4) + - 1.180824521930322*a(2)*a(4)**2 - - 0.05202551636492191*a(1)*a(2)*a(4)**2 + - 0.3433897393687334*a(4)**3 + - 1.174669116318895*a(2)*a(5) - - 0.6239675473677654*a(1)*a(2)*a(5) + - 0.1027380970706454*a(1)**2*a(2)*a(5) + - 0.2141582868514862*a(2)**3*a(5) + - 0.5416790247652794*a(2)*a(3)*a(5) - - 0.1806500478575348*a(1)*a(2)*a(3)*a(5) - - 0.6425010289093773*a(4)*a(5) + - 0.5959982505414208*a(1)*a(4)*a(5) - - 0.06173423178033575*a(1)**2*a(4)*a(5) - - 0.4622152738425138*a(2)**2*a(4)*a(5) - - 0.5319547736177374*a(3)*a(4)*a(5) + - 0.952752495887705*a(2)*a(5)**2 - - 0.2786906768656146*a(1)*a(2)*a(5)**2 - - 0.6854381125680578*a(4)*a(5)**2 alpha(1,4)=1.248626777819519*a(2) - - 0.4296069314975003*a(1)*a(2) + - 0.3439473295965269*a(1)**2*a(2) - - 0.0087659059915857*a(1)**3*a(2) + - 0.3960605613535763*a(2)**3 - - 0.1051908718990284*a(1)*a(2)**3 + - 0.5098730066762457*a(2)*a(3) - - 0.4474703183461001*a(1)*a(2)*a(3) + - 0.06278136785652063*a(1)**2*a(2)*a(3) + - 0.0913183532458482*a(2)**3*a(3) + - 0.2586042488838057*a(2)*a(3)**2 - - 0.03314489469821551*a(1)*a(2)*a(3)**2 + - 0.5242872773028905*a(4) + - 1.707616472334621*a(1)*a(4) + - 0.2286656717128816*a(1)**2*a(4) + - 0.07063069524341728*a(1)**3*a(4) - - 0.6498919090787162*a(2)**2*a(4) + - 0.3014270977195363*a(1)*a(2)**2*a(4) - - 0.844729172407199*a(3)*a(4) + - 0.287791080704783*a(1)*a(3)*a(4) - - 0.0204331901536074*a(1)**2*a(3)*a(4) - - 0.2690370036891641*a(2)**2*a(3)*a(4) + - 0.0862498446930061*a(3)**2*a(4) + - 1.180824521930322*a(2)*a(4)**2 - - 0.05202551636492191*a(1)*a(2)*a(4)**2 + - 0.3433897393687334*a(4)**3 + - 1.174669116318895*a(2)*a(5) - - 0.6239675473677654*a(1)*a(2)*a(5) + - 0.1027380970706454*a(1)**2*a(2)*a(5) + - 0.2141582868514862*a(2)**3*a(5) + - 0.5416790247652794*a(2)*a(3)*a(5) - - 0.1806500478575348*a(1)*a(2)*a(3)*a(5) - - 0.6425010289093773*a(4)*a(5) + - 0.5959982505414208*a(1)*a(4)*a(5) - - 0.06173423178033575*a(1)**2*a(4)*a(5) - - 0.4622152738425138*a(2)**2*a(4)*a(5) - - 0.5319547736177374*a(3)*a(4)*a(5) + - 0.952752495887705*a(2)*a(5)**2 - - 0.2786906768656146*a(1)*a(2)*a(5)**2 - - 0.6854381125680578*a(4)*a(5)**2 alpha(1,5)=-0.928057041757989*a(2)**2 + - 0.5178562576926568*a(1)*a(2)**2 - - 0.07101195464760844*a(1)**2*a(2)**2 - - 0.0852143455771301*a(2)**4 - - 0.3624923879293865*a(2)**2*a(3) + - 0.1076019215258098*a(1)*a(2)**2*a(3) - - 0.04970397122827033*a(2)**2*a(3)**2 + - 1.174669116318895*a(2)*a(4) - - 0.6239675473677654*a(1)*a(2)*a(4) + - 0.1027380970706454*a(1)**2*a(2)*a(4) + - 0.2141582868514862*a(2)**3*a(4) + - 0.5416790247652794*a(2)*a(3)*a(4) - - 0.1806500478575348*a(1)*a(2)*a(3)*a(4) - - 0.3212505144546886*a(4)**2 + - 0.2979991252707104*a(1)*a(4)**2 - - 0.03086711589016787*a(1)**2*a(4)**2 - - 0.2311076369212569*a(2)**2*a(4)**2 - - 0.2659773868088687*a(3)*a(4)**2 - - 1.835005470560117*a(5) + - 1.535900849418291*a(1)*a(5) - - 0.4212262373658346*a(1)**2*a(5) + - 0.04115782346639596*a(1)**3*a(5) - - 1.516414454517004*a(2)**2*a(5) + - 0.4219979368073509*a(1)*a(2)**2*a(5) - - 1.075109855790981*a(3)*a(5) + - 0.6382693275036772*a(1)*a(3)*a(5) - - 0.0993280076911471*a(1)**2*a(3)*a(5) - - 0.3099033839963789*a(2)**2*a(3)*a(5) - - 0.2948322840361234*a(3)**2*a(5) + - 1.90550499177541*a(2)*a(4)*a(5) - - 0.5573813537312292*a(1)*a(2)*a(4)*a(5) - - 0.6854381125680578*a(4)**2*a(5) - - 0.4653811318825311*a(2)**2*a(5)**2 - - 0.920177192214653*a(5)**3 alpha(2,1)=-0.7208950062914744*a(2) + - 0.6820926132509801*a(1)*a(2) - - 0.1564554595930243*a(1)**2*a(2) + - 0.01834611841675696*a(1)**3*a(2) - - 0.3129109191860486*a(2)**3 + - 0.0873022186728435*a(1)*a(2)**3 - - 0.4436961309613573*a(2)*a(3) + - 0.239509298738359*a(1)*a(2)*a(3) - - 0.0390427391078059*a(1)**2*a(2)*a(3) - - 0.0611103742556962*a(2)**3*a(3) - - 0.1047048075737932*a(2)*a(3)**2 + - 0.03905155510455326*a(1)*a(2)*a(3)**2 - - 0.01148420965114786*a(2)*a(3)**3 + - 0.6243133889097595*a(4) - - 0.2148034657487501*a(1)*a(4) + - 0.1719736647982634*a(1)**2*a(4) - - 0.004382952995792849*a(1)**3*a(4) + - 0.5940908420303646*a(2)**2*a(4) - - 0.1577863078485425*a(1)*a(2)**2*a(4) + - 0.2549365033381228*a(3)*a(4) - - 0.22373515917305*a(1)*a(3)*a(4) + - 0.03139068392826031*a(1)**2*a(3)*a(4) + - 0.1369775298687723*a(2)**2*a(3)*a(4) + - 0.1293021244419028*a(3)**2*a(4) - - 0.01657244734910776*a(1)*a(3)**2*a(4) - - 0.3249459545393581*a(2)*a(4)**2 + - 0.1507135488597682*a(1)*a(2)*a(4)**2 - - 0.134518501844582*a(2)*a(3)*a(4)**2 + - 0.196804086988387*a(4)**3 - - 0.00867091939415365*a(1)*a(4)**3 - - 0.928057041757989*a(2)*a(5) + - 0.5178562576926568*a(1)*a(2)*a(5) - - 0.07101195464760844*a(1)**2*a(2)*a(5) - - 0.1704286911542602*a(2)**3*a(5) - - 0.3624923879293865*a(2)*a(3)*a(5) + - 0.1076019215258098*a(1)*a(2)*a(3)*a(5) - - 0.04970397122827033*a(2)*a(3)**2*a(5) + - 0.5873345581594474*a(4)*a(5) - - 0.3119837736838827*a(1)*a(4)*a(5) + - 0.05136904853532271*a(1)**2*a(4)*a(5) + - 0.3212374302772293*a(2)**2*a(4)*a(5) + - 0.2708395123826397*a(3)*a(4)*a(5) - - 0.0903250239287674*a(1)*a(3)*a(4)*a(5) - - 0.2311076369212569*a(2)*a(4)**2*a(5) - - 0.7582072272585023*a(2)*a(5)**2 + - 0.2109989684036754*a(1)*a(2)*a(5)**2 - - 0.1549516919981894*a(2)*a(3)*a(5)**2 + - 0.4763762479438526*a(4)*a(5)**2 - - 0.1393453384328073*a(1)*a(4)*a(5)**2 - - 0.1551270439608437*a(2)*a(5)**3 alpha(2,2)=1. - 0.7208950062914744*a(1) + - 0.34104630662549*a(1)**2 - - 0.05215181986434142*a(1)**3 + - 0.004586529604189242*a(1)**4 + - 2.04627783975294*a(2)**2 - - 0.938732757558146*a(1)*a(2)**2 + - 0.1309533280092652*a(1)**2*a(2)**2 + - 0.1423405739231144*a(2)**4 + - 0.1611970238707875*a(3) - - 0.4436961309613573*a(1)*a(3) + - 0.1197546493691795*a(1)**2*a(3) - - 0.01301424636926863*a(1)**3*a(3) + - 0.4359607460181367*a(2)**2*a(3) - - 0.1833311227670886*a(1)*a(2)**2*a(3) + - 0.333414501162542*a(3)**2 - - 0.1047048075737932*a(1)*a(3)**2 + - 0.01952577755227663*a(1)**2*a(3)**2 + - 0.1091166093744722*a(2)**2*a(3)**2 + - 0.006696129105507328*a(3)**3 - - 0.01148420965114786*a(1)*a(3)**3 - - 1.288820794492501*a(2)*a(4) + - 1.188181684060729*a(1)*a(2)*a(4) - - 0.1577863078485425*a(1)**2*a(2)*a(4) - - 0.2629771797475709*a(2)**3*a(4) - - 1.3424109550383*a(2)*a(3)*a(4) + - 0.2739550597375445*a(1)*a(2)*a(3)*a(4) - - 0.07012453402990179*a(2)*a(3)**2*a(4) + - 1.159080454685232*a(4)**2 - - 0.3249459545393581*a(1)*a(4)**2 + - 0.07535677442988409*a(1)**2*a(4)**2 + - 0.4119503668833663*a(2)**2*a(4)**2 + - 0.102578999063091*a(3)*a(4)**2 - - 0.134518501844582*a(1)*a(3)*a(4)**2 - - 0.0989217564685135*a(2)*a(4)**3 + - 1.348671062689471*a(5) - - 0.928057041757989*a(1)*a(5) + - 0.2589281288463284*a(1)**2*a(5) - - 0.02367065154920281*a(1)**3*a(5) + - 2.02639405184083*a(2)**2*a(5) - - 0.5112860734627807*a(1)*a(2)**2*a(5) + - 0.4310027928764776*a(3)*a(5) - - 0.3624923879293865*a(1)*a(3)*a(5) + - 0.05380096076290488*a(1)**2*a(3)*a(5) + - 0.30263040429134*a(2)**2*a(3)*a(5) + - 0.2157513666959943*a(3)**2*a(5) - - 0.04970397122827033*a(1)*a(3)**2*a(5) - - 1.871902642103296*a(2)*a(4)*a(5) + - 0.6424748605544587*a(1)*a(2)*a(4)*a(5) - - 0.6400406672961526*a(2)*a(3)*a(4)*a(5) + - 0.97743713088793*a(4)**2*a(5) - - 0.2311076369212569*a(1)*a(4)**2*a(5) + - 1.502511700517893*a(5)**2 - - 0.7582072272585023*a(1)*a(5)**2 + - 0.1054994842018377*a(1)**2*a(5)**2 + - 0.6892632967853398*a(2)**2*a(5)**2 + - 0.448783120901023*a(3)*a(5)**2 - - 0.1549516919981894*a(1)*a(3)*a(5)**2 - - 0.7540036104155586*a(2)*a(4)*a(5)**2 + - 0.5840782855305924*a(5)**3 - - 0.1551270439608437*a(1)*a(5)**3 alpha(2,3)=0.1611970238707875*a(2) - - 0.4436961309613573*a(1)*a(2) + - 0.1197546493691795*a(1)**2*a(2) - - 0.01301424636926863*a(1)**3*a(2) + - 0.1453202486727122*a(2)**3 - - 0.0611103742556962*a(1)*a(2)**3 + - 0.666829002325084*a(2)*a(3) - - 0.2094096151475863*a(1)*a(2)*a(3) + - 0.03905155510455326*a(1)**2*a(2)*a(3) + - 0.07274440624964811*a(2)**3*a(3) + - 0.02008838731652198*a(2)*a(3)**2 - - 0.03445262895344358*a(1)*a(2)*a(3)**2 - - 0.7614584601084466*a(4) + - 0.2549365033381228*a(1)*a(4) - - 0.111867579586525*a(1)**2*a(4) + - 0.0104635613094201*a(1)**3*a(4) - - 0.6712054775191501*a(2)**2*a(4) + - 0.1369775298687723*a(1)*a(2)**2*a(4) + - 0.0991400611148077*a(3)*a(4) + - 0.2586042488838057*a(1)*a(3)*a(4) - - 0.01657244734910776*a(1)**2*a(3)*a(4) - - 0.07012453402990179*a(2)**2*a(3)*a(4) - - 0.1975432529618086*a(3)**2*a(4) + - 0.102578999063091*a(2)*a(4)**2 - - 0.134518501844582*a(1)*a(2)*a(4)**2 - - 0.2478057374432156*a(4)**3 + - 0.4310027928764776*a(2)*a(5) - - 0.3624923879293865*a(1)*a(2)*a(5) + - 0.05380096076290488*a(1)**2*a(2)*a(5) + - 0.1008768014304467*a(2)**3*a(5) + - 0.4315027333919887*a(2)*a(3)*a(5) - - 0.0994079424565406*a(1)*a(2)*a(3)*a(5) - - 0.6635722093032396*a(4)*a(5) + - 0.2708395123826397*a(1)*a(4)*a(5) - - 0.04516251196438371*a(1)**2*a(4)*a(5) - - 0.3200203336480763*a(2)**2*a(4)*a(5) - - 0.1386540888926358*a(3)*a(4)*a(5) + - 0.448783120901023*a(2)*a(5)**2 - - 0.1549516919981894*a(1)*a(2)*a(5)**2 - - 0.4745713651035168*a(4)*a(5)**2 alpha(2,4)=0.6243133889097595*a(1) - 0.1074017328743751*a(1)**2 + - 0.05732455493275448*a(1)**3 - - 0.001095738248948212*a(1)**4 - - 0.6444103972462504*a(2)**2 + - 0.5940908420303646*a(1)*a(2)**2 - - 0.07889315392427127*a(1)**2*a(2)**2 - - 0.06574429493689273*a(2)**4 - - 0.7614584601084466*a(3) + - 0.2549365033381228*a(1)*a(3) - - 0.111867579586525*a(1)**2*a(3) + - 0.0104635613094201*a(1)**3*a(3) - - 0.6712054775191501*a(2)**2*a(3) + - 0.1369775298687723*a(1)*a(2)**2*a(3) + - 0.04957003055740387*a(3)**2 + - 0.1293021244419028*a(1)*a(3)**2 - - 0.00828622367455388*a(1)**2*a(3)**2 - - 0.03506226701495089*a(2)**2*a(3)**2 - - 0.06584775098726955*a(3)**3 + - 2.318160909370464*a(2)*a(4) - - 0.6498919090787162*a(1)*a(2)*a(4) + - 0.1507135488597682*a(1)**2*a(2)*a(4) + - 0.2746335779222442*a(2)**3*a(4) + - 0.2051579981261819*a(2)*a(3)*a(4) - - 0.2690370036891641*a(1)*a(2)*a(3)*a(4) + - 0.2974201833444233*a(4)**2 + - 0.5904122609651611*a(1)*a(4)**2 - - 0.01300637909123048*a(1)**2*a(4)**2 - - 0.1483826347027703*a(2)**2*a(4)**2 - - 0.7434172123296468*a(3)*a(4)**2 - - 0.4247212369592862*a(5) + - 0.5873345581594474*a(1)*a(5) - - 0.1559918868419413*a(1)**2*a(5) + - 0.01712301617844091*a(1)**3*a(5) - - 0.935951321051648*a(2)**2*a(5) + - 0.3212374302772293*a(1)*a(2)**2*a(5) - - 0.6635722093032396*a(3)*a(5) + - 0.2708395123826397*a(1)*a(3)*a(5) - - 0.04516251196438371*a(1)**2*a(3)*a(5) - - 0.3200203336480763*a(2)**2*a(3)*a(5) - - 0.0693270444463179*a(3)**2*a(5) + - 1.95487426177586*a(2)*a(4)*a(5) - - 0.4622152738425138*a(1)*a(2)*a(4)*a(5) - - 0.3520683761850627*a(4)**2*a(5) - - 0.6939804278036542*a(5)**2 + - 0.4763762479438526*a(1)*a(5)**2 - - 0.06967266921640366*a(1)**2*a(5)**2 - - 0.3770018052077793*a(2)**2*a(5)**2 - - 0.4745713651035168*a(3)*a(5)**2 - - 0.3194694524642236*a(5)**3 alpha(2,5)=1.348671062689471*a(2) - 0.928057041757989*a(1)*a(2) + - 0.2589281288463284*a(1)**2*a(2) - - 0.02367065154920281*a(1)**3*a(2) + - 0.6754646839469436*a(2)**3 - - 0.1704286911542602*a(1)*a(2)**3 + - 0.4310027928764776*a(2)*a(3) - - 0.3624923879293865*a(1)*a(2)*a(3) + - 0.05380096076290488*a(1)**2*a(2)*a(3) + - 0.1008768014304467*a(2)**3*a(3) + - 0.2157513666959943*a(2)*a(3)**2 - - 0.04970397122827033*a(1)*a(2)*a(3)**2 - - 0.4247212369592862*a(4) + - 0.5873345581594474*a(1)*a(4) - - 0.1559918868419413*a(1)**2*a(4) + - 0.01712301617844091*a(1)**3*a(4) - - 0.935951321051648*a(2)**2*a(4) + - 0.3212374302772293*a(1)*a(2)**2*a(4) - - 0.6635722093032396*a(3)*a(4) + - 0.2708395123826397*a(1)*a(3)*a(4) - - 0.04516251196438371*a(1)**2*a(3)*a(4) - - 0.3200203336480763*a(2)**2*a(3)*a(4) - - 0.0693270444463179*a(3)**2*a(4) + - 0.97743713088793*a(2)*a(4)**2 - - 0.2311076369212569*a(1)*a(2)*a(4)**2 - - 0.1173561253950209*a(4)**3 + - 3.005023401035786*a(2)*a(5) - - 1.516414454517004*a(1)*a(2)*a(5) + - 0.2109989684036754*a(1)**2*a(2)*a(5) + - 0.4595088645235598*a(2)**3*a(5) + - 0.897566241802046*a(2)*a(3)*a(5) - - 0.3099033839963789*a(1)*a(2)*a(3)*a(5) - - 1.387960855607308*a(4)*a(5) + - 0.952752495887705*a(1)*a(4)*a(5) - - 0.1393453384328073*a(1)**2*a(4)*a(5) - - 0.7540036104155586*a(2)**2*a(4)*a(5) - - 0.949142730207034*a(3)*a(4)*a(5) + - 1.752234856591777*a(2)*a(5)**2 - - 0.4653811318825311*a(1)*a(2)*a(5)**2 - - 0.958408357392671*a(4)*a(5)**2 alpha(3,1)=1.450773214837088*a(1) + 1.247895368328817*a(1)**2 + - 1.372469015242282*a(1)**3 + - 0.5092531187974684*a(1)**4 + - 0.1289637051220655*a(1)**5 + - 0.01196618911010575*a(1)**6 - - 1.109240327403393*a(2)**2 + - 1.197546493691795*a(1)*a(2)**2 - - 0.5856410866170886*a(1)**2*a(2)**2 + - 0.1193583497955136*a(1)**3*a(2)**2 - - 0.00820747789552907*a(1)**4*a(2)**2 - - 0.4583278069177215*a(2)**4 + - 0.2720992459718305*a(1)*a(2)**4 - - 0.04234431270941748*a(1)**2*a(2)**4 - - 0.01467936173926472*a(2)**6 + - 0.98303864494292*a(3) + - 4.266656241629383*a(1)*a(3) + - 3.712808406495999*a(1)**2*a(3) + - 2.460203315720527*a(1)**3*a(3) + - 0.6688457164984511*a(1)**4*a(3) + - 0.0816054061426706*a(1)**5*a(3) - - 1.047048075737932*a(2)**2*a(3) + - 1.171546653136598*a(1)*a(2)**2*a(3) - - 0.2887385387237911*a(1)**2*a(2)**2*a(3) + - 0.03578382622852318*a(1)**3*a(2)**2*a(3) - - 0.2513786538611933*a(2)**4*a(3) + - 0.07814648997220801*a(1)*a(2)**4*a(3) + - 1.439879271148635*a(3)**2 + - 4.598958457995245*a(1)*a(3)**2 + - 3.715009384802745*a(1)**2*a(3)**2 + - 1.568240423905408*a(1)**3*a(3)**2 - - 0.5167894343016537*a(2)**2*a(3)**2 + - 0.2736208535973308*a(1)*a(2)**2*a(3)**2 + - 1.639820142102643*a(3)**3 + - 3.126243211706126*a(1)*a(3)**3 + - 1.274682516690614*a(2)*a(4) - - 2.2373515917305*a(1)*a(2)*a(4) + - 0.941720517847809*a(1)**2*a(2)*a(4) - - 0.1450387219173749*a(1)**3*a(2)*a(4) + - 0.02023709750485194*a(1)**4*a(2)*a(4) + - 1.369775298687723*a(2)**3*a(4) - - 0.91364059507097*a(1)*a(2)**3*a(4) + - 0.1284308684603221*a(1)**2*a(2)**3*a(4) + - 0.06943090096966652*a(2)**5*a(4) + - 2.586042488838057*a(2)*a(3)*a(4) - - 0.994346840946465*a(1)*a(2)*a(3)*a(4) + - 0.7087970496316899*a(1)**2*a(2)*a(3)*a(4) + - 0.84168205241559*a(2)**3*a(3)*a(4) + - 0.5596253029507079*a(2)*a(3)**2*a(4) - - 1.055911465508999*a(4)**2 + - 0.7194777017619576*a(1)*a(4)**2 - - 0.1532489261520555*a(1)**2*a(4)**2 + - 0.1755815858052875*a(1)**3*a(4)**2 - - 2.017777527668731*a(2)**2*a(4)**2 + - 0.886112676026685*a(1)*a(2)**2*a(4)**2 + - 0.4312492234650306*a(3)*a(4)**2 + - 1.696558622638275*a(1)*a(3)*a(4)**2 + - 0.3391668502731562*a(2)*a(4)**3 - - 1.812461939646932*a(2)**2*a(5) + - 1.614028822887146*a(1)*a(2)**2*a(5) - - 0.5023530363286773*a(1)**2*a(2)**2*a(5) + - 0.04999596284902705*a(1)**3*a(2)**2*a(5) - - 0.5224471577818243*a(2)**4*a(5) + - 0.1584379104370576*a(1)*a(2)**4*a(5) - - 1.49111913684811*a(2)**2*a(3)*a(5) + - 0.927093250641812*a(1)*a(2)**2*a(3)*a(5) + - 2.708395123826397*a(2)*a(4)*a(5) - - 2.709750717863022*a(1)*a(2)*a(4)*a(5) + - 0.7618217489101303*a(1)**2*a(2)*a(4)*a(5) + - 1.647391193074698*a(2)**3*a(4)*a(5) + - 2.496330130305126*a(2)*a(3)*a(4)*a(5) - - 1.329886934044343*a(4)**2*a(5) + - 0.876035380843353*a(1)*a(4)**2*a(5) - - 1.343887319738726*a(5)**2 + - 1.595673318759193*a(1)*a(5)**2 - - 0.744960057683603*a(1)**2*a(5)**2 + - 0.1482821548771927*a(1)**3*a(5)**2 - - 2.324275379972841*a(2)**2*a(5)**2 + - 1.409724711860635*a(1)*a(2)**2*a(5)**2 - - 1.474161420180617*a(3)*a(5)**2 + - 1.374824857282896*a(1)*a(3)*a(5)**2 + - 3.664476621429536*a(2)*a(4)*a(5)**2 alpha(3,2)=0.4835910716123625*a(2) - - 2.218480654806786*a(1)*a(2) + - 1.197546493691795*a(1)**2*a(2) - - 0.3904273910780591*a(1)**3*a(2) + - 0.0596791748977568*a(1)**4*a(2) - - 0.003282991158211626*a(1)**5*a(2) + - 1.453202486727122*a(2)**3 - - 1.833311227670886*a(1)*a(2)**3 + - 0.5441984919436611*a(1)**2*a(2)**3 - - 0.05645908361255663*a(1)**3*a(2)**3 + - 0.2550930430985911*a(2)**5 - - 0.0880761704355883*a(1)*a(2)**5 + - 3.33414501162542*a(2)*a(3) - - 2.094096151475863*a(1)*a(2)*a(3) + - 1.171546653136598*a(1)**2*a(2)*a(3) - - 0.1924923591491941*a(1)**3*a(2)*a(3) + - 0.01789191311426159*a(1)**4*a(2)*a(3) + - 2.182332187489443*a(2)**3*a(3) - - 1.005514615444773*a(1)*a(2)**3*a(3) + - 0.156292979944416*a(1)**2*a(2)**3*a(3) + - 0.0921598347006653*a(2)**5*a(3) + - 0.2008838731652198*a(2)*a(3)**2 - - 1.033578868603307*a(1)*a(2)*a(3)**2 + - 0.2736208535973308*a(1)**2*a(2)*a(3)**2 + - 0.3028894238054849*a(2)**3*a(3)**2 + - 0.5678886521036066*a(2)*a(3)**3 - - 2.28437538032534*a(4) + - 1.274682516690614*a(1)*a(4) - - 1.11867579586525*a(1)**2*a(4) + - 0.3139068392826032*a(1)**3*a(4) - - 0.03625968047934373*a(1)**4*a(4) + - 0.004047419500970387*a(1)**5*a(4) - - 6.712054775191501*a(2)**2*a(4) + - 4.109325896063169*a(1)*a(2)**2*a(4) - - 1.370460892606454*a(1)**2*a(2)**2*a(4) + - 0.1284308684603221*a(1)**3*a(2)**2*a(4) - - 1.348756760823094*a(2)**4*a(4) + - 0.3471545048483326*a(1)*a(2)**4*a(4) + - 0.4957003055740387*a(3)*a(4) + - 2.586042488838057*a(1)*a(3)*a(4) - - 0.4971734204732327*a(1)**2*a(3)*a(4) + - 0.2362656832105633*a(1)**3*a(3)*a(4) - - 2.103736020897054*a(2)**2*a(3)*a(4) + - 2.52504615724677*a(1)*a(2)**2*a(3)*a(4) - - 1.975432529618087*a(3)**2*a(4) + - 0.5596253029507079*a(1)*a(3)**2*a(4) + - 1.02578999063091*a(2)*a(4)**2 - - 4.035555055337462*a(1)*a(2)*a(4)**2 + - 0.886112676026685*a(1)**2*a(2)*a(4)**2 + - 1.333644330585616*a(2)**3*a(4)**2 + - 5.659849020127463*a(2)*a(3)*a(4)**2 - - 2.478057374432156*a(4)**3 + - 0.3391668502731562*a(1)*a(4)**3 + - 2.155013964382388*a(2)*a(5) - - 3.624923879293865*a(1)*a(2)*a(5) + - 1.614028822887146*a(1)**2*a(2)*a(5) - - 0.3349020242191181*a(1)**3*a(2)*a(5) + - 0.02499798142451352*a(1)**4*a(2)*a(5) + - 3.0263040429134*a(2)**3*a(5) - - 2.089788631127297*a(1)*a(2)**3*a(5) + - 0.3168758208741151*a(1)**2*a(2)**3*a(5) + - 0.1774504596895045*a(2)**5*a(5) + - 4.315027333919887*a(2)*a(3)*a(5) - - 2.982238273696219*a(1)*a(2)*a(3)*a(5) + - 0.927093250641812*a(1)**2*a(2)*a(3)*a(5) + - 2.186681980512189*a(2)**3*a(3)*a(5) + - 0.89833446326482*a(2)*a(3)**2*a(5) - - 3.317861046516197*a(4)*a(5) + - 2.708395123826397*a(1)*a(4)*a(5) - - 1.354875358931511*a(1)**2*a(4)*a(5) + - 0.2539405829700434*a(1)**3*a(4)*a(5) - - 9.60061000944229*a(2)**2*a(4)*a(5) + - 4.942173579224093*a(1)*a(2)**2*a(4)*a(5) - - 1.386540888926358*a(3)*a(4)*a(5) + - 2.496330130305126*a(1)*a(3)*a(4)*a(5) + - 4.746518972569438*a(2)*a(4)**2*a(5) + - 4.48783120901023*a(2)*a(5)**2 - - 4.648550759945683*a(1)*a(2)*a(5)**2 + - 1.409724711860635*a(1)**2*a(2)*a(5)**2 + - 2.456053720219417*a(2)**3*a(5)**2 + - 4.864081482147887*a(2)*a(3)*a(5)**2 - - 4.745713651035167*a(4)*a(5)**2 + - 3.664476621429536*a(1)*a(4)*a(5)**2 + - 3.121871539005402*a(2)*a(5)**3 alpha(3,3)=1. + 0.98303864494292*a(1) + - 2.133328120814691*a(1)**2 + - 1.237602802165333*a(1)**3 + - 0.6150508289301318*a(1)**4 + - 0.1337691432996902*a(1)**5 + - 0.01360090102377843*a(1)**6 + - 1.66707250581271*a(2)**2 - - 1.047048075737932*a(1)*a(2)**2 + - 0.585773326568299*a(1)**2*a(2)**2 - - 0.096246179574597*a(1)**3*a(2)**2 + - 0.00894595655713079*a(1)**4*a(2)**2 + - 0.5455830468723608*a(2)**4 - - 0.2513786538611933*a(1)*a(2)**4 + - 0.039073244986104*a(1)**2*a(2)**4 + - 0.01535997245011089*a(2)**6 + - 0.821766646166462*a(3) + - 2.87975854229727*a(1)*a(3) + - 4.598958457995245*a(1)**2*a(3) + - 2.47667292320183*a(1)**3*a(3) + - 0.7841202119527042*a(1)**4*a(3) + - 0.2008838731652198*a(2)**2*a(3) - - 1.033578868603307*a(1)*a(2)**2*a(3) + - 0.2736208535973308*a(1)**2*a(2)**2*a(3) + - 0.1514447119027425*a(2)**4*a(3) + - 3.005654708472979*a(3)**2 + - 4.91946042630793*a(1)*a(3)**2 + - 4.689364817559189*a(1)**2*a(3)**2 + - 0.85183297815541*a(2)**2*a(3)**2 + - 1.768587918057064*a(3)**3 + - 0.4957003055740387*a(2)*a(4) + - 2.586042488838057*a(1)*a(2)*a(4) - - 0.4971734204732327*a(1)**2*a(2)*a(4) + - 0.2362656832105633*a(1)**3*a(2)*a(4) - - 0.701245340299018*a(2)**3*a(4) + - 0.84168205241559*a(1)*a(2)**3*a(4) - - 3.950865059236173*a(2)*a(3)*a(4) + - 1.119250605901416*a(1)*a(2)*a(3)*a(4) + - 2.357301970476392*a(4)**2 + - 0.4312492234650306*a(1)*a(4)**2 + - 0.848279311319137*a(1)**2*a(4)**2 + - 2.829924510063731*a(2)**2*a(4)**2 - - 1.085852694029693*a(3)*a(4)**2 + - 2.157513666959943*a(2)**2*a(5) - - 1.49111913684811*a(1)*a(2)**2*a(5) + - 0.4635466253209059*a(1)**2*a(2)**2*a(5) + - 0.5466704951280473*a(2)**4*a(5) + - 0.89833446326482*a(2)**2*a(3)*a(5) - - 1.386540888926358*a(2)*a(4)*a(5) + - 2.496330130305126*a(1)*a(2)*a(4)*a(5) + - 1.865160840904889*a(4)**2*a(5) + - 1.599733045845522*a(5)**2 - - 1.474161420180617*a(1)*a(5)**2 + - 0.6874124286414478*a(1)**2*a(5)**2 + - 2.432040741073943*a(2)**2*a(5)**2 + - 0.888118176098867*a(3)*a(5)**2 alpha(3,4)=-2.28437538032534*a(2) + 1.274682516690614*a(1)*a(2) - - 1.11867579586525*a(1)**2*a(2) + - 0.3139068392826032*a(1)**3*a(2) - - 0.03625968047934373*a(1)**4*a(2) + - 0.004047419500970387*a(1)**5*a(2) - - 2.2373515917305*a(2)**3 + - 1.369775298687723*a(1)*a(2)**3 - - 0.4568202975354849*a(1)**2*a(2)**3 + - 0.04281028948677405*a(1)**3*a(2)**3 - - 0.2697513521646189*a(2)**5 + - 0.06943090096966652*a(1)*a(2)**5 + - 0.4957003055740387*a(2)*a(3) + - 2.586042488838057*a(1)*a(2)*a(3) - - 0.4971734204732327*a(1)**2*a(2)*a(3) + - 0.2362656832105633*a(1)**3*a(2)*a(3) - - 0.701245340299018*a(2)**3*a(3) + - 0.84168205241559*a(1)*a(2)**3*a(3) - - 1.975432529618087*a(2)*a(3)**2 + - 0.5596253029507079*a(1)*a(2)*a(3)**2 - - 1.004381456425676*a(4) - - 2.111822931017998*a(1)*a(4) + - 0.7194777017619576*a(1)**2*a(4) - - 0.102165950768037*a(1)**3*a(4) + - 0.0877907929026438*a(1)**4*a(4) + - 1.02578999063091*a(2)**2*a(4) - - 4.035555055337462*a(1)*a(2)**2*a(4) + - 0.886112676026685*a(1)**2*a(2)**2*a(4) + - 0.6668221652928083*a(2)**4*a(4) + - 4.714603940952784*a(3)*a(4) + - 0.862498446930061*a(1)*a(3)*a(4) + - 1.696558622638275*a(1)**2*a(3)*a(4) + - 5.659849020127463*a(2)**2*a(3)*a(4) - - 1.085852694029693*a(3)**2*a(4) - - 7.434172123296469*a(2)*a(4)**2 + - 1.017500550819469*a(1)*a(2)*a(4)**2 - - 2.137062480481062*a(4)**3 - - 3.317861046516197*a(2)*a(5) + - 2.708395123826397*a(1)*a(2)*a(5) - - 1.354875358931511*a(1)**2*a(2)*a(5) + - 0.2539405829700434*a(1)**3*a(2)*a(5) - - 3.200203336480763*a(2)**3*a(5) + - 1.647391193074698*a(1)*a(2)**3*a(5) - - 1.386540888926358*a(2)*a(3)*a(5) + - 2.496330130305126*a(1)*a(2)*a(3)*a(5) + - 0.5070621092664442*a(4)*a(5) - - 2.659773868088687*a(1)*a(4)*a(5) + - 0.876035380843353*a(1)**2*a(4)*a(5) + - 4.746518972569438*a(2)**2*a(4)*a(5) + - 3.730321681809777*a(3)*a(4)*a(5) - - 4.745713651035167*a(2)*a(5)**2 + - 3.664476621429536*a(1)*a(2)*a(5)**2 + - 2.346269649622892*a(4)*a(5)**2 alpha(3,5)=1.077506982191194*a(2)**2 - - 1.812461939646932*a(1)*a(2)**2 + - 0.807014411443573*a(1)**2*a(2)**2 - - 0.1674510121095591*a(1)**3*a(2)**2 + - 0.01249899071225676*a(1)**4*a(2)**2 + - 0.7565760107283499*a(2)**4 - - 0.5224471577818243*a(1)*a(2)**4 + - 0.07921895521852879*a(1)**2*a(2)**4 + - 0.02957507661491741*a(2)**6 + - 2.157513666959943*a(2)**2*a(3) - - 1.49111913684811*a(1)*a(2)**2*a(3) + - 0.4635466253209059*a(1)**2*a(2)**2*a(3) + - 0.5466704951280473*a(2)**4*a(3) + - 0.4491672316324099*a(2)**2*a(3)**2 - - 3.317861046516197*a(2)*a(4) + - 2.708395123826397*a(1)*a(2)*a(4) - - 1.354875358931511*a(1)**2*a(2)*a(4) + - 0.2539405829700434*a(1)**3*a(2)*a(4) - - 3.200203336480763*a(2)**3*a(4) + - 1.647391193074698*a(1)*a(2)**3*a(4) - - 1.386540888926358*a(2)*a(3)*a(4) + - 2.496330130305126*a(1)*a(2)*a(3)*a(4) + - 0.2535310546332221*a(4)**2 - - 1.329886934044343*a(1)*a(4)**2 + - 0.4380176904216763*a(1)**2*a(4)**2 + - 2.373259486284719*a(2)**2*a(4)**2 + - 1.865160840904889*a(3)*a(4)**2 + - 1.278303671814497*a(5) - - 2.687774639477452*a(1)*a(5) + - 1.595673318759193*a(1)**2*a(5) - - 0.4966400384557354*a(1)**3*a(5) + - 0.07414107743859636*a(1)**4*a(5) + - 4.48783120901023*a(2)**2*a(5) - - 4.648550759945683*a(1)*a(2)**2*a(5) + - 1.409724711860635*a(1)**2*a(2)**2*a(5) + - 1.228026860109709*a(2)**4*a(5) + - 3.199466091691043*a(3)*a(5) - - 2.948322840361235*a(1)*a(3)*a(5) + - 1.374824857282896*a(1)**2*a(3)*a(5) + - 4.864081482147887*a(2)**2*a(3)*a(5) + - 0.888118176098867*a(3)**2*a(5) - - 9.49142730207033*a(2)*a(4)*a(5) + - 7.328953242859073*a(1)*a(2)*a(4)*a(5) + - 2.346269649622892*a(4)**2*a(5) + - 4.682807308508104*a(2)**2*a(5)**2 + - 3.086368129705281*a(5)**3 alpha(4,1)=0.936470083364639*a(2) - - 0.5370086643718754*a(1)*a(2) + - 0.859868323991317*a(1)**2*a(2) - - 0.06574429493689273*a(1)**3*a(2) + - 0.04726404990321086*a(1)**4*a(2) + - 0.0003037015146855054*a(1)**5*a(2) + - 0.990151403383941*a(2)**3 - - 0.7889315392427127*a(1)*a(2)**3 + - 0.2597998097905525*a(1)**2*a(2)**3 - - 0.02372921168076082*a(1)**3*a(2)**3 + - 0.135388633271133*a(2)**5 - - 0.0396026775149899*a(1)*a(2)**5 + - 0.6373412583453072*a(2)*a(3) - - 1.11867579586525*a(1)*a(2)*a(3) + - 0.4708602589239047*a(1)**2*a(2)*a(3) - - 0.07251936095868747*a(1)**3*a(2)*a(3) + - 0.01011854875242597*a(1)**4*a(2)*a(3) + - 0.6848876493438614*a(2)**3*a(3) - - 0.4568202975354849*a(1)*a(2)**3*a(3) + - 0.06421543423016106*a(1)**2*a(2)**3*a(3) + - 0.03471545048483326*a(2)**5*a(3) + - 0.6465106222095144*a(2)*a(3)**2 - - 0.2485867102366163*a(1)*a(2)*a(3)**2 + - 0.1771992624079225*a(1)**2*a(2)*a(3)**2 + - 0.2104205131038975*a(2)**3*a(3)**2 + - 0.093270883825118*a(2)*a(3)**3 + - 0.3932154579771678*a(4) + - 2.134520590418277*a(1)*a(4) + - 0.5716641792822042*a(1)**2*a(4) + - 0.5297302143256296*a(1)**3*a(4) + - 0.06430496055218954*a(1)**4*a(4) + - 0.00865605753371927*a(1)**5*a(4) - - 1.62472977269679*a(2)**2*a(4) + - 2.260703232896523*a(1)*a(2)**2*a(4) - - 0.4683328423847073*a(1)**2*a(2)**2*a(4) + - 0.06754179666418625*a(1)**3*a(2)**2*a(4) - - 0.4870127848160062*a(2)**4*a(4) + - 0.1567558832237344*a(1)*a(2)**4*a(4) - - 1.055911465508999*a(3)*a(4) + - 0.7194777017619576*a(1)*a(3)*a(4) - - 0.1532489261520555*a(1)**2*a(3)*a(4) + - 0.1755815858052875*a(1)**3*a(3)*a(4) - - 2.017777527668731*a(2)**2*a(3)*a(4) + - 0.886112676026685*a(1)*a(2)**2*a(3)*a(4) + - 0.2156246117325153*a(3)**2*a(4) + - 0.848279311319137*a(1)*a(3)**2*a(4) + - 2.952061304825805*a(2)*a(4)**2 - - 0.3901913727369144*a(1)*a(2)*a(4)**2 + - 0.7574445158682308*a(1)**2*a(2)*a(4)**2 + - 0.88397414895377*a(2)**3*a(4)**2 + - 0.5087502754097344*a(2)*a(3)*a(4)**2 + - 0.858474348421834*a(4)**3 + - 1.467474028371427*a(1)*a(4)**3 + - 1.468336395398618*a(2)*a(5) - - 1.559918868419414*a(1)*a(2)*a(5) + - 0.7705357280298406*a(1)**2*a(2)*a(5) - - 0.1407561107357987*a(1)**3*a(2)*a(5) + - 0.01155286132727413*a(1)**4*a(2)*a(5) + - 1.606187151386146*a(2)**3*a(5) - - 0.939655128324991*a(1)*a(2)**3*a(5) + - 0.1427251851841605*a(1)**2*a(2)**3*a(5) + - 0.0859078343942877*a(2)**5*a(5) + - 1.354197561913198*a(2)*a(3)*a(5) - - 1.354875358931511*a(1)*a(2)*a(3)*a(5) + - 0.3809108744550651*a(1)**2*a(2)*a(3)*a(5) + - 0.823695596537349*a(2)**3*a(3)*a(5) + - 0.6240825325762815*a(2)*a(3)**2*a(5) - - 0.803126286136722*a(4)*a(5) + - 1.489995626353552*a(1)*a(4)*a(5) - - 0.4630067383525182*a(1)**2*a(4)*a(5) + - 0.1335473583988609*a(1)**3*a(4)*a(5) - - 3.466614553818853*a(2)**2*a(4)*a(5) + - 2.231613802029563*a(1)*a(2)**2*a(4)*a(5) - - 1.329886934044343*a(3)*a(4)*a(5) + - 0.876035380843353*a(1)*a(3)*a(4)*a(5) + - 3.146116226826066*a(2)*a(4)**2*a(5) + - 2.381881239719263*a(2)*a(5)**2 - - 2.09018007649211*a(1)*a(2)*a(5)**2 + - 0.634959208954375*a(1)**2*a(2)*a(5)**2 + - 1.189031894475071*a(2)**3*a(5)**2 + - 1.832238310714768*a(2)*a(3)*a(5)**2 - - 1.713595281420144*a(4)*a(5)**2 + - 1.654676120639349*a(1)*a(4)*a(5)**2 + - 1.511369559945855*a(2)*a(5)**3 alpha(4,2)=0.936470083364639*a(1) - 0.2685043321859377*a(1)**2 + - 0.2866227746637724*a(1)**3 - - 0.01643607373422318*a(1)**4 + - 0.00945280998064217*a(1)**5 + - 0.00005061691911425089*a(1)**6 - - 1.611025993115626*a(2)**2 + - 2.970454210151823*a(1)*a(2)**2 - - 1.183397308864069*a(1)**2*a(2)**2 + - 0.2597998097905525*a(1)**3*a(2)**2 - - 0.01779690876057061*a(1)**4*a(2)**2 - - 0.986164424053391*a(2)**4 + - 0.6769431663556653*a(1)*a(2)**4 - - 0.0990066937874748*a(1)**2*a(2)**4 - - 0.03571529812701543*a(2)**6 - - 1.14218769016267*a(3) + - 0.6373412583453072*a(1)*a(3) - - 0.559337897932625*a(1)**2*a(3) + - 0.1569534196413016*a(1)**3*a(3) - - 0.01812984023967187*a(1)**4*a(3) + - 0.002023709750485193*a(1)**5*a(3) - - 3.35602738759575*a(2)**2*a(3) + - 2.054662948031584*a(1)*a(2)**2*a(3) - - 0.6852304463032273*a(1)**2*a(2)**2*a(3) + - 0.06421543423016106*a(1)**3*a(2)**2*a(3) - - 0.6743783804115472*a(2)**4*a(3) + - 0.1735772524241663*a(1)*a(2)**4*a(3) + - 0.1239250763935097*a(3)**2 + - 0.6465106222095144*a(1)*a(3)**2 - - 0.1242933551183082*a(1)**2*a(3)**2 + - 0.05906642080264083*a(1)**3*a(3)**2 - - 0.5259340052242635*a(2)**2*a(3)**2 + - 0.6312615393116925*a(1)*a(2)**2*a(3)**2 - - 0.3292387549363478*a(3)**3 + - 0.093270883825118*a(1)*a(3)**3 + - 5.79540227342616*a(2)*a(4) - - 3.249459545393581*a(1)*a(2)*a(4) + - 2.260703232896523*a(1)**2*a(2)*a(4) - - 0.3122218949231382*a(1)**3*a(2)*a(4) + - 0.03377089833209312*a(1)**4*a(2)*a(4) + - 4.119503668833664*a(2)**3*a(4) - - 1.948051139264025*a(1)*a(2)**3*a(4) + - 0.3135117664474689*a(1)**2*a(2)**3*a(4) + - 0.1855821328903809*a(2)**5*a(4) + - 1.02578999063091*a(2)*a(3)*a(4) - - 4.035555055337462*a(1)*a(2)*a(3)*a(4) + - 0.886112676026685*a(1)**2*a(2)*a(3)*a(4) + - 1.333644330585616*a(2)**3*a(3)*a(4) + - 2.829924510063731*a(2)*a(3)**2*a(4) + - 0.7435504583610582*a(4)**2 + - 2.952061304825805*a(1)*a(4)**2 - - 0.1950956863684572*a(1)**2*a(4)**2 + - 0.2524815052894102*a(1)**3*a(4)**2 - - 2.225739520541554*a(2)**2*a(4)**2 + - 2.651922446861311*a(1)*a(2)**2*a(4)**2 - - 3.717086061648234*a(3)*a(4)**2 + - 0.5087502754097344*a(1)*a(3)*a(4)**2 + - 3.950281438534976*a(2)*a(4)**3 - - 0.6370818554389293*a(5) + - 1.468336395398618*a(1)*a(5) - - 0.7799594342097068*a(1)**2*a(5) + - 0.2568452426766136*a(1)**3*a(5) - - 0.03518902768394969*a(1)**4*a(5) + - 0.002310572265454827*a(1)**5*a(5) - - 4.679756605258241*a(2)**2*a(5) + - 4.81856145415844*a(1)*a(2)**2*a(5) - - 1.409482692487487*a(1)**2*a(2)**2*a(5) + - 0.1427251851841605*a(1)**3*a(2)**2*a(5) - - 1.361923460532387*a(2)**4*a(5) + - 0.4295391719714385*a(1)*a(2)**4*a(5) - - 1.658930523258099*a(3)*a(5) + - 1.354197561913198*a(1)*a(3)*a(5) - - 0.6774376794657555*a(1)**2*a(3)*a(5) + - 0.1269702914850217*a(1)**3*a(3)*a(5) - - 4.800305004721145*a(2)**2*a(3)*a(5) + - 2.471086789612046*a(1)*a(2)**2*a(3)*a(5) - - 0.3466352222315895*a(3)**2*a(5) + - 0.6240825325762815*a(1)*a(3)**2*a(5) + - 9.7743713088793*a(2)*a(4)*a(5) - - 6.933229107637707*a(1)*a(2)*a(4)*a(5) + - 2.231613802029563*a(1)**2*a(2)*a(4)*a(5) + - 4.717841259324243*a(2)**3*a(4)*a(5) + - 4.746518972569438*a(2)*a(3)*a(4)*a(5) - - 1.760341880925313*a(4)**2*a(5) + - 3.146116226826066*a(1)*a(4)**2*a(5) - - 1.734951069509135*a(5)**2 + - 2.381881239719263*a(1)*a(5)**2 - - 1.045090038246055*a(1)**2*a(5)**2 + - 0.2116530696514583*a(1)**3*a(5)**2 - - 5.655027078116689*a(2)**2*a(5)**2 + - 3.567095683425215*a(1)*a(2)**2*a(5)**2 - - 2.372856825517583*a(3)*a(5)**2 + - 1.832238310714768*a(1)*a(3)*a(5)**2 + - 9.79479421747588*a(2)*a(4)*a(5)**2 - - 1.597347262321118*a(5)**3 + - 1.511369559945855*a(1)*a(5)**3 alpha(4,3)=-1.14218769016267*a(2) + - 0.6373412583453072*a(1)*a(2) - - 0.559337897932625*a(1)**2*a(2) + - 0.1569534196413016*a(1)**3*a(2) - - 0.01812984023967187*a(1)**4*a(2) + - 0.002023709750485193*a(1)**5*a(2) - - 1.11867579586525*a(2)**3 + - 0.6848876493438614*a(1)*a(2)**3 - - 0.2284101487677424*a(1)**2*a(2)**3 + - 0.02140514474338702*a(1)**3*a(2)**3 - - 0.1348756760823094*a(2)**5 + - 0.03471545048483326*a(1)*a(2)**5 + - 0.2478501527870193*a(2)*a(3) + - 1.293021244419029*a(1)*a(2)*a(3) - - 0.2485867102366163*a(1)**2*a(2)*a(3) + - 0.1181328416052817*a(1)**3*a(2)*a(3) - - 0.350622670149509*a(2)**3*a(3) + - 0.4208410262077951*a(1)*a(2)**3*a(3) - - 0.987716264809043*a(2)*a(3)**2 + - 0.2798126514753539*a(1)*a(2)*a(3)**2 - - 0.502190728212838*a(4) - - 1.055911465508999*a(1)*a(4) + - 0.3597388508809788*a(1)**2*a(4) - - 0.0510829753840185*a(1)**3*a(4) + - 0.04389539645132189*a(1)**4*a(4) + - 0.5128949953154548*a(2)**2*a(4) - - 2.017777527668731*a(1)*a(2)**2*a(4) + - 0.4430563380133424*a(1)**2*a(2)**2*a(4) + - 0.3334110826464041*a(2)**4*a(4) + - 2.357301970476392*a(3)*a(4) + - 0.4312492234650306*a(1)*a(3)*a(4) + - 0.848279311319137*a(1)**2*a(3)*a(4) + - 2.829924510063731*a(2)**2*a(3)*a(4) - - 0.5429263470148466*a(3)**2*a(4) - - 3.717086061648234*a(2)*a(4)**2 + - 0.5087502754097344*a(1)*a(2)*a(4)**2 - - 1.068531240240531*a(4)**3 - - 1.658930523258099*a(2)*a(5) + - 1.354197561913198*a(1)*a(2)*a(5) - - 0.6774376794657555*a(1)**2*a(2)*a(5) + - 0.1269702914850217*a(1)**3*a(2)*a(5) - - 1.600101668240382*a(2)**3*a(5) + - 0.823695596537349*a(1)*a(2)**3*a(5) - - 0.6932704444631791*a(2)*a(3)*a(5) + - 1.248165065152563*a(1)*a(2)*a(3)*a(5) + - 0.2535310546332221*a(4)*a(5) - - 1.329886934044343*a(1)*a(4)*a(5) + - 0.4380176904216763*a(1)**2*a(4)*a(5) + - 2.373259486284719*a(2)**2*a(4)*a(5) + - 1.865160840904889*a(3)*a(4)*a(5) - - 2.372856825517583*a(2)*a(5)**2 + - 1.832238310714768*a(1)*a(2)*a(5)**2 + - 1.173134824811446*a(4)*a(5)**2 alpha(4,4)=1. + 0.3932154579771678*a(1) + - 1.067260295209138*a(1)**2 + - 0.1905547264274013*a(1)**3 + - 0.1324325535814074*a(1)**4 + - 0.01286099211043791*a(1)**5 + - 0.001442676255619877*a(1)**6 + - 2.897701136713079*a(2)**2 - - 1.62472977269679*a(1)*a(2)**2 + - 1.130351616448261*a(1)**2*a(2)**2 - - 0.1561109474615691*a(1)**3*a(2)**2 + - 0.01688544916604656*a(1)**4*a(2)**2 + - 1.029875917208416*a(2)**4 - - 0.4870127848160062*a(1)*a(2)**4 + - 0.07837794161186722*a(1)**2*a(2)**4 + - 0.03093035548173015*a(2)**6 - - 0.502190728212838*a(3) - - 1.055911465508999*a(1)*a(3) + - 0.3597388508809788*a(1)**2*a(3) - - 0.0510829753840185*a(1)**3*a(3) + - 0.04389539645132189*a(1)**4*a(3) + - 0.5128949953154548*a(2)**2*a(3) - - 2.017777527668731*a(1)*a(2)**2*a(3) + - 0.4430563380133424*a(1)**2*a(2)**2*a(3) + - 0.3334110826464041*a(2)**4*a(3) + - 1.178650985238196*a(3)**2 + - 0.2156246117325153*a(1)*a(3)**2 + - 0.4241396556595687*a(1)**2*a(3)**2 + - 1.414962255031866*a(2)**2*a(3)**2 - - 0.1809754490049489*a(3)**3 + - 1.487100916722116*a(2)*a(4) + - 5.904122609651611*a(1)*a(2)*a(4) - - 0.3901913727369144*a(1)**2*a(2)*a(4) + - 0.5049630105788205*a(1)**3*a(2)*a(4) - - 1.483826347027702*a(2)**3*a(4) + - 1.767948297907541*a(1)*a(2)**3*a(4) - - 7.434172123296469*a(2)*a(3)*a(4) + - 1.017500550819469*a(1)*a(2)*a(3)*a(4) + - 5.58707081915267*a(4)**2 + - 2.575423045265501*a(1)*a(4)**2 + - 2.201211042557141*a(1)**2*a(4)**2 + - 5.925422157802465*a(2)**2*a(4)**2 - - 3.205593720721592*a(3)*a(4)**2 + - 1.145898839977417*a(5) - - 0.803126286136722*a(1)*a(5) + - 0.744997813176776*a(1)**2*a(5) - - 0.1543355794508394*a(1)**3*a(5) + - 0.03338683959971521*a(1)**4*a(5) + - 4.887185654439652*a(2)**2*a(5) - - 3.466614553818853*a(1)*a(2)**2*a(5) + - 1.115806901014781*a(1)**2*a(2)**2*a(5) + - 1.179460314831061*a(2)**4*a(5) + - 0.2535310546332221*a(3)*a(5) - - 1.329886934044343*a(1)*a(3)*a(5) + - 0.4380176904216763*a(1)**2*a(3)*a(5) + - 2.373259486284719*a(2)**2*a(3)*a(5) + - 0.932580420452444*a(3)**2*a(5) - - 3.520683761850627*a(2)*a(4)*a(5) + - 6.292232453652132*a(1)*a(2)*a(4)*a(5) + - 4.68642834899412*a(4)**2*a(5) + - 1.811852344742165*a(5)**2 - - 1.713595281420144*a(1)*a(5)**2 + - 0.827338060319675*a(1)**2*a(5)**2 + - 4.897397108737941*a(2)**2*a(5)**2 + - 1.173134824811446*a(3)*a(5)**2 + - 1.383343307835614*a(5)**3 alpha(4,5)=-0.6370818554389293*a(2) + - 1.468336395398618*a(1)*a(2) - - 0.7799594342097068*a(1)**2*a(2) + - 0.2568452426766136*a(1)**3*a(2) - - 0.03518902768394969*a(1)**4*a(2) + - 0.002310572265454827*a(1)**5*a(2) - - 1.559918868419414*a(2)**3 + - 1.606187151386146*a(1)*a(2)**3 - - 0.4698275641624955*a(1)**2*a(2)**3 + - 0.04757506172805349*a(1)**3*a(2)**3 - - 0.2723846921064775*a(2)**5 + - 0.0859078343942877*a(1)*a(2)**5 - - 1.658930523258099*a(2)*a(3) + - 1.354197561913198*a(1)*a(2)*a(3) - - 0.6774376794657555*a(1)**2*a(2)*a(3) + - 0.1269702914850217*a(1)**3*a(2)*a(3) - - 1.600101668240382*a(2)**3*a(3) + - 0.823695596537349*a(1)*a(2)**3*a(3) - - 0.3466352222315895*a(2)*a(3)**2 + - 0.6240825325762815*a(1)*a(2)*a(3)**2 + - 1.145898839977417*a(4) - - 0.803126286136722*a(1)*a(4) + - 0.744997813176776*a(1)**2*a(4) - - 0.1543355794508394*a(1)**3*a(4) + - 0.03338683959971521*a(1)**4*a(4) + - 4.887185654439652*a(2)**2*a(4) - - 3.466614553818853*a(1)*a(2)**2*a(4) + - 1.115806901014781*a(1)**2*a(2)**2*a(4) + - 1.179460314831061*a(2)**4*a(4) + - 0.2535310546332221*a(3)*a(4) - - 1.329886934044343*a(1)*a(3)*a(4) + - 0.4380176904216763*a(1)**2*a(3)*a(4) + - 2.373259486284719*a(2)**2*a(3)*a(4) + - 0.932580420452444*a(3)**2*a(4) - - 1.760341880925313*a(2)*a(4)**2 + - 3.146116226826066*a(1)*a(2)*a(4)**2 + - 1.56214278299804*a(4)**3 - - 3.469902139018271*a(2)*a(5) + - 4.763762479438526*a(1)*a(2)*a(5) - - 2.09018007649211*a(1)**2*a(2)*a(5) + - 0.4233061393029167*a(1)**3*a(2)*a(5) - - 3.770018052077792*a(2)**3*a(5) + - 2.378063788950143*a(1)*a(2)**3*a(5) - - 4.745713651035167*a(2)*a(3)*a(5) + - 3.664476621429536*a(1)*a(2)*a(3)*a(5) + - 3.62370468948433*a(4)*a(5) - - 3.427190562840289*a(1)*a(4)*a(5) + - 1.654676120639349*a(1)**2*a(4)*a(5) + - 9.79479421747588*a(2)**2*a(4)*a(5) + - 2.346269649622892*a(3)*a(4)*a(5) - - 4.792041786963354*a(2)*a(5)**2 + - 4.534108679837565*a(1)*a(2)*a(5)**2 + - 4.150029923506841*a(4)*a(5)**2 alpha(5,1)=-1.160071302197487*a(2)**2 + - 1.294640644231642*a(1)*a(2)**2 - - 0.5325896598570632*a(1)**2*a(2)**2 + - 0.1040781853357685*a(1)**3*a(2)**2 - - 0.007435462895252878*a(1)**4*a(2)**2 - - 0.639107591828476*a(2)**4 + - 0.3557102536792088*a(1)*a(2)**4 - - 0.05038619561959598*a(1)**2*a(2)**4 - - 0.02204396058357323*a(2)**6 - - 0.906230969823466*a(2)**2*a(3) + - 0.807014411443573*a(1)*a(2)**2*a(3) - - 0.2511765181643387*a(1)**2*a(2)**2*a(3) + - 0.02499798142451352*a(1)**3*a(2)**2*a(3) - - 0.2612235788909122*a(2)**4*a(3) + - 0.07921895521852879*a(1)*a(2)**4*a(3) - - 0.3727797842120274*a(2)**2*a(3)**2 + - 0.2317733126604529*a(1)*a(2)**2*a(3)**2 + - 1.468336395398618*a(2)*a(4) - - 1.559918868419414*a(1)*a(2)*a(4) + - 0.7705357280298406*a(1)**2*a(2)*a(4) - - 0.1407561107357987*a(1)**3*a(2)*a(4) + - 0.01155286132727413*a(1)**4*a(2)*a(4) + - 1.606187151386146*a(2)**3*a(4) - - 0.939655128324991*a(1)*a(2)**3*a(4) + - 0.1427251851841605*a(1)**2*a(2)**3*a(4) + - 0.0859078343942877*a(2)**5*a(4) + - 1.354197561913198*a(2)*a(3)*a(4) - - 1.354875358931511*a(1)*a(2)*a(3)*a(4) + - 0.3809108744550651*a(1)**2*a(2)*a(3)*a(4) + - 0.823695596537349*a(2)**3*a(3)*a(4) + - 0.6240825325762815*a(2)*a(3)**2*a(4) - - 0.4015631430683607*a(4)**2 + - 0.744997813176776*a(1)*a(4)**2 - - 0.2315033691762591*a(1)**2*a(4)**2 + - 0.06677367919943043*a(1)**3*a(4)**2 - - 1.733307276909427*a(2)**2*a(4)**2 + - 1.115806901014781*a(1)*a(2)**2*a(4)**2 - - 0.6649434670221718*a(3)*a(4)**2 + - 0.4380176904216763*a(1)*a(3)*a(4)**2 + - 1.048705408942022*a(2)*a(4)**3 - - 1.376254102920087*a(5) + - 1.919876061772863*a(1)*a(5) - - 1.053065593414586*a(1)**2*a(5) + - 0.3086836759979696*a(1)**3*a(5) - - 0.04410541962945566*a(1)**4*a(5) + - 0.002659355960730767*a(1)**5*a(5) - - 3.791036136292511*a(2)**2*a(5) + - 3.164984526055132*a(1)*a(2)**2*a(5) - - 0.896637236702346*a(1)**2*a(2)**2*a(5) + - 0.0868995701629561*a(1)**3*a(2)**2*a(5) - - 0.915317179133644*a(2)**4*a(5) + - 0.2577529623477512*a(1)*a(2)**4*a(5) - - 1.343887319738726*a(3)*a(5) + - 1.595673318759193*a(1)*a(3)*a(5) - - 0.744960057683603*a(1)**2*a(3)*a(5) + - 0.1482821548771927*a(1)**3*a(3)*a(5) - - 2.324275379972841*a(2)**2*a(3)*a(5) + - 1.409724711860635*a(1)*a(2)**2*a(3)*a(5) - - 0.7370807100903088*a(3)**2*a(5) + - 0.6874124286414478*a(1)*a(3)**2*a(5) + - 4.763762479438526*a(2)*a(4)*a(5) - - 4.18036015298422*a(1)*a(2)*a(4)*a(5) + - 1.26991841790875*a(1)**2*a(2)*a(4)*a(5) + - 2.378063788950143*a(2)**3*a(4)*a(5) + - 3.664476621429536*a(2)*a(3)*a(4)*a(5) - - 1.713595281420144*a(4)**2*a(5) + - 1.654676120639349*a(1)*a(4)**2*a(5) - - 3.490358489118982*a(2)**2*a(5)**2 + - 1.965767191385101*a(1)*a(2)**2*a(5)**2 + - 4.534108679837565*a(2)*a(4)*a(5)**2 - - 2.300442980536632*a(5)**3 + - 1.943411551086484*a(1)*a(5)**3 alpha(5,2)=2.023006594034206*a(2) - 2.320142604394973*a(1)*a(2) + - 1.294640644231642*a(1)**2*a(2) - - 0.3550597732380421*a(1)**3*a(2) + - 0.05203909266788425*a(1)**4*a(2) - - 0.002974185158101151*a(1)**5*a(2) + - 3.377323419734718*a(2)**3 - - 2.556430367313903*a(1)*a(2)**3 + - 0.7114205073584176*a(1)**2*a(2)**3 - - 0.06718159415946129*a(1)**3*a(2)**3 + - 0.4979943551508924*a(2)**5 - - 0.1322637635014394*a(1)*a(2)**5 + - 1.077506982191194*a(2)*a(3) - - 1.812461939646932*a(1)*a(2)*a(3) + - 0.807014411443573*a(1)**2*a(2)*a(3) - - 0.1674510121095591*a(1)**3*a(2)*a(3) + - 0.01249899071225676*a(1)**4*a(2)*a(3) + - 1.5131520214567*a(2)**3*a(3) - - 1.044894315563649*a(1)*a(2)**3*a(3) + - 0.1584379104370576*a(1)**2*a(2)**3*a(3) + - 0.0887252298447523*a(2)**5*a(3) + - 1.078756833479971*a(2)*a(3)**2 - - 0.7455595684240548*a(1)*a(2)*a(3)**2 + - 0.2317733126604529*a(1)**2*a(2)*a(3)**2 + - 0.5466704951280473*a(2)**3*a(3)**2 + - 0.1497224105441366*a(2)*a(3)**3 - - 0.6370818554389293*a(4) + - 1.468336395398618*a(1)*a(4) - - 0.7799594342097068*a(1)**2*a(4) + - 0.2568452426766136*a(1)**3*a(4) - - 0.03518902768394969*a(1)**4*a(4) + - 0.002310572265454827*a(1)**5*a(4) - - 4.679756605258241*a(2)**2*a(4) + - 4.81856145415844*a(1)*a(2)**2*a(4) - - 1.409482692487487*a(1)**2*a(2)**2*a(4) + - 0.1427251851841605*a(1)**3*a(2)**2*a(4) - - 1.361923460532387*a(2)**4*a(4) + - 0.4295391719714385*a(1)*a(2)**4*a(4) - - 1.658930523258099*a(3)*a(4) + - 1.354197561913198*a(1)*a(3)*a(4) - - 0.6774376794657555*a(1)**2*a(3)*a(4) + - 0.1269702914850217*a(1)**3*a(3)*a(4) - - 4.800305004721145*a(2)**2*a(3)*a(4) + - 2.471086789612047*a(1)*a(2)**2*a(3)*a(4) - - 0.3466352222315895*a(3)**2*a(4) + - 0.6240825325762815*a(1)*a(3)**2*a(4) + - 4.887185654439652*a(2)*a(4)**2 - - 3.466614553818853*a(1)*a(2)*a(4)**2 + - 1.115806901014781*a(1)**2*a(2)*a(4)**2 + - 2.358920629662121*a(2)**3*a(4)**2 + - 2.373259486284719*a(2)*a(3)*a(4)**2 - - 0.5867806269751045*a(4)**3 + - 1.048705408942022*a(1)*a(4)**3 + - 7.512558502589466*a(2)*a(5) - - 7.582072272585023*a(1)*a(2)*a(5) + - 3.164984526055132*a(1)**2*a(2)*a(5) - - 0.5977581578015637*a(1)**3*a(2)*a(5) + - 0.04344978508147807*a(1)**4*a(2)*a(5) + - 6.892632967853398*a(2)**3*a(5) - - 3.661268716534578*a(1)*a(2)**3*a(5) + - 0.5155059246955025*a(1)**2*a(2)**3*a(5) + - 0.3446525325107074*a(2)**5*a(5) + - 4.48783120901023*a(2)*a(3)*a(5) - - 4.648550759945683*a(1)*a(2)*a(3)*a(5) + - 1.409724711860635*a(1)**2*a(2)*a(3)*a(5) + - 2.456053720219417*a(2)**3*a(3)*a(5) + - 2.432040741073943*a(2)*a(3)**2*a(5) - - 3.469902139018271*a(4)*a(5) + - 4.763762479438526*a(1)*a(4)*a(5) - - 2.09018007649211*a(1)**2*a(4)*a(5) + - 0.4233061393029167*a(1)**3*a(4)*a(5) - - 11.31005415623338*a(2)**2*a(4)*a(5) + - 7.13419136685043*a(1)*a(2)**2*a(4)*a(5) - - 4.745713651035167*a(3)*a(4)*a(5) + - 3.664476621429536*a(1)*a(3)*a(4)*a(5) + - 9.79479421747588*a(2)*a(4)**2*a(5) + - 8.76117428295889*a(2)*a(5)**2 - - 6.980716978237965*a(1)*a(2)*a(5)**2 + - 1.965767191385101*a(1)**2*a(2)*a(5)**2 + - 4.717841259324243*a(2)**3*a(5)**2 + - 4.682807308508104*a(2)*a(3)*a(5)**2 - - 4.792041786963354*a(4)*a(5)**2 + - 4.534108679837565*a(1)*a(4)*a(5)**2 + - 6.996281583911343*a(2)*a(5)**3 alpha(5,3)=0.5387534910955969*a(2)**2 - - 0.906230969823466*a(1)*a(2)**2 + - 0.4035072057217867*a(1)**2*a(2)**2 - - 0.0837255060547795*a(1)**3*a(2)**2 + - 0.006249495356128381*a(1)**4*a(2)**2 + - 0.3782880053641749*a(2)**4 - - 0.2612235788909122*a(1)*a(2)**4 + - 0.03960947760926439*a(1)**2*a(2)**4 + - 0.01478753830745871*a(2)**6 + - 1.078756833479971*a(2)**2*a(3) - - 0.7455595684240548*a(1)*a(2)**2*a(3) + - 0.2317733126604529*a(1)**2*a(2)**2*a(3) + - 0.2733352475640236*a(2)**4*a(3) + - 0.2245836158162049*a(2)**2*a(3)**2 - - 1.658930523258099*a(2)*a(4) + - 1.354197561913198*a(1)*a(2)*a(4) - - 0.6774376794657555*a(1)**2*a(2)*a(4) + - 0.1269702914850217*a(1)**3*a(2)*a(4) - - 1.600101668240382*a(2)**3*a(4) + - 0.823695596537349*a(1)*a(2)**3*a(4) - - 0.6932704444631791*a(2)*a(3)*a(4) + - 1.248165065152563*a(1)*a(2)*a(3)*a(4) + - 0.126765527316611*a(4)**2 - - 0.6649434670221718*a(1)*a(4)**2 + - 0.2190088452108381*a(1)**2*a(4)**2 + - 1.186629743142359*a(2)**2*a(4)**2 + - 0.932580420452444*a(3)*a(4)**2 + - 0.6391518359072485*a(5) - - 1.343887319738726*a(1)*a(5) + - 0.7978366593795964*a(1)**2*a(5) - - 0.2483200192278677*a(1)**3*a(5) + - 0.03707053871929818*a(1)**4*a(5) + - 2.243915604505115*a(2)**2*a(5) - - 2.324275379972841*a(1)*a(2)**2*a(5) + - 0.7048623559303175*a(1)**2*a(2)**2*a(5) + - 0.6140134300548544*a(2)**4*a(5) + - 1.599733045845522*a(3)*a(5) - - 1.474161420180617*a(1)*a(3)*a(5) + - 0.6874124286414478*a(1)**2*a(3)*a(5) + - 2.432040741073943*a(2)**2*a(3)*a(5) + - 0.4440590880494333*a(3)**2*a(5) - - 4.745713651035167*a(2)*a(4)*a(5) + - 3.664476621429536*a(1)*a(2)*a(4)*a(5) + - 1.173134824811446*a(4)**2*a(5) + - 2.341403654254052*a(2)**2*a(5)**2 + - 1.54318406485264*a(5)**3 alpha(5,4)=-0.6370818554389293*a(2) + - 1.468336395398618*a(1)*a(2) - - 0.7799594342097068*a(1)**2*a(2) + - 0.2568452426766136*a(1)**3*a(2) - - 0.03518902768394969*a(1)**4*a(2) + - 0.002310572265454827*a(1)**5*a(2) - - 1.559918868419414*a(2)**3 + - 1.606187151386146*a(1)*a(2)**3 - - 0.4698275641624955*a(1)**2*a(2)**3 + - 0.04757506172805349*a(1)**3*a(2)**3 - - 0.2723846921064775*a(2)**5 + - 0.0859078343942877*a(1)*a(2)**5 - - 1.658930523258099*a(2)*a(3) + - 1.354197561913198*a(1)*a(2)*a(3) - - 0.6774376794657555*a(1)**2*a(2)*a(3) + - 0.1269702914850217*a(1)**3*a(2)*a(3) - - 1.600101668240382*a(2)**3*a(3) + - 0.823695596537349*a(1)*a(2)**3*a(3) - - 0.3466352222315895*a(2)*a(3)**2 + - 0.6240825325762815*a(1)*a(2)*a(3)**2 + - 1.145898839977417*a(4) - - 0.803126286136722*a(1)*a(4) + - 0.744997813176776*a(1)**2*a(4) - - 0.1543355794508394*a(1)**3*a(4) + - 0.03338683959971521*a(1)**4*a(4) + - 4.887185654439652*a(2)**2*a(4) - - 3.466614553818853*a(1)*a(2)**2*a(4) + - 1.115806901014781*a(1)**2*a(2)**2*a(4) + - 1.179460314831061*a(2)**4*a(4) + - 0.2535310546332221*a(3)*a(4) - - 1.329886934044343*a(1)*a(3)*a(4) + - 0.4380176904216763*a(1)**2*a(3)*a(4) + - 2.373259486284719*a(2)**2*a(3)*a(4) + - 0.932580420452444*a(3)**2*a(4) - - 1.760341880925313*a(2)*a(4)**2 + - 3.146116226826066*a(1)*a(2)*a(4)**2 + - 1.56214278299804*a(4)**3 - - 3.469902139018271*a(2)*a(5) + - 4.763762479438526*a(1)*a(2)*a(5) - - 2.09018007649211*a(1)**2*a(2)*a(5) + - 0.4233061393029167*a(1)**3*a(2)*a(5) - - 3.770018052077792*a(2)**3*a(5) + - 2.378063788950143*a(1)*a(2)**3*a(5) - - 4.745713651035167*a(2)*a(3)*a(5) + - 3.664476621429536*a(1)*a(2)*a(3)*a(5) + - 3.62370468948433*a(4)*a(5) - - 3.427190562840289*a(1)*a(4)*a(5) + - 1.654676120639349*a(1)**2*a(4)*a(5) + - 9.79479421747588*a(2)**2*a(4)*a(5) + - 2.346269649622892*a(3)*a(4)*a(5) - - 4.792041786963354*a(2)*a(5)**2 + - 4.534108679837565*a(1)*a(2)*a(5)**2 + - 4.150029923506841*a(4)*a(5)**2 alpha(5,5)=1. - 1.376254102920087*a(1) + - 0.959938030886432*a(1)**2 - - 0.3510218644715288*a(1)**3 + - 0.07717091899949242*a(1)**4 - - 0.00882108392589113*a(1)**5 + - 0.0004432259934551278*a(1)**6 + - 3.756279251294733*a(2)**2 - - 3.791036136292511*a(1)*a(2)**2 + - 1.582492263027566*a(1)**2*a(2)**2 - - 0.2988790789007818*a(1)**3*a(2)**2 + - 0.02172489254073903*a(1)**4*a(2)**2 + - 1.723158241963349*a(2)**4 - - 0.915317179133644*a(1)*a(2)**4 + - 0.1288764811738756*a(1)**2*a(2)**4 + - 0.05744208875178457*a(2)**6 + - 0.6391518359072485*a(3) - - 1.343887319738726*a(1)*a(3) + - 0.7978366593795964*a(1)**2*a(3) - - 0.2483200192278677*a(1)**3*a(3) + - 0.03707053871929818*a(1)**4*a(3) + - 2.243915604505115*a(2)**2*a(3) - - 2.324275379972841*a(1)*a(2)**2*a(3) + - 0.7048623559303175*a(1)**2*a(2)**2*a(3) + - 0.6140134300548544*a(2)**4*a(3) + - 0.7998665229227609*a(3)**2 - - 0.7370807100903088*a(1)*a(3)**2 + - 0.3437062143207239*a(1)**2*a(3)**2 + - 1.216020370536972*a(2)**2*a(3)**2 + - 0.1480196960164778*a(3)**3 - - 3.469902139018271*a(2)*a(4) + - 4.763762479438526*a(1)*a(2)*a(4) - - 2.09018007649211*a(1)**2*a(2)*a(4) + - 0.4233061393029167*a(1)**3*a(2)*a(4) - - 3.770018052077792*a(2)**3*a(4) + - 2.378063788950143*a(1)*a(2)**3*a(4) - - 4.745713651035167*a(2)*a(3)*a(4) + - 3.664476621429536*a(1)*a(2)*a(3)*a(4) + - 1.811852344742165*a(4)**2 - - 1.713595281420144*a(1)*a(4)**2 + - 0.827338060319675*a(1)**2*a(4)**2 + - 4.897397108737941*a(2)**2*a(4)**2 + - 1.173134824811446*a(3)*a(4)**2 + - 8.76117428295889*a(2)**2*a(5) - - 6.980716978237965*a(1)*a(2)**2*a(5) + - 1.965767191385101*a(1)**2*a(2)**2*a(5) + - 2.358920629662121*a(2)**4*a(5) + - 4.682807308508104*a(2)**2*a(3)*a(5) - - 9.58408357392671*a(2)*a(4)*a(5) + - 9.06821735967513*a(1)*a(2)*a(4)*a(5) + - 4.150029923506841*a(4)**2*a(5) + - 6.496153528709714*a(5)**2 - - 6.901328941609897*a(1)*a(5)**2 + - 2.915117326629726*a(1)**2*a(5)**2 + - 10.49442237586702*a(2)**2*a(5)**2 + - 4.629552194557922*a(3)*a(5)**2 alpha(6,1)=1.591549430918953*a(1) + - 0.3978873577297384* - (1.081342509437211*a(1)**2 - - 2.162685018874423*a(2)**2) + - 0.3978873577297384* - (0.6820926132509801*a(1)**3 + - 1.36418522650196*a(1)*a(2)**2 + - 2.901546429674175*a(1)*a(3) + - 3.745880333458557*a(2)*a(4)) + - 0.3978873577297384* - (0.06518977483042678*a(1)**4 - - 0.1564554595930243*a(1)**2*a(2)**2 - - 0.1564554595930243*a(2)**4 + - 0.998316294663054*a(1)**2*a(3) - - 0.887392261922714*a(2)**2*a(3) + - 0.98303864494292*a(3)**2 - - 0.859213862995001*a(1)*a(2)*a(4) + - 0.7864309159543357*a(4)**2 - - 1.856114083515979*a(2)**2*a(5) - - 2.752508205840175*a(5)**2) + - 0.3978873577297384* - (0.2744938030484564*a(1)**3*a(3) + - 0.239509298738359*a(1)*a(2)**2*a(3) + - 1.706662496651753*a(1)*a(3)**2 + - 0.3439473295965269*a(1)**2*a(2)*a(4) + - 0.3960605613535763*a(2)**3*a(4) + - 1.019746013352491*a(2)*a(3)*a(4) + - 1.707616472334621*a(1)*a(4)**2 + - 0.5178562576926568*a(1)*a(2)**2*a(5) + - 2.349338232637789*a(2)*a(4)*a(5) + - 1.535900849418291*a(1)*a(5)**2) + - 0.3978873577297384* - (0.3712808406495998*a(1)**2*a(3)**2 - - 0.1047048075737932*a(2)**2*a(3)**2 + - 0.383967805639636*a(3)**3 - - 0.4474703183461001*a(1)*a(2)*a(3)*a(4) + - 0.1143328358564408*a(1)**2*a(4)**2 - - 0.3249459545393581*a(2)**2*a(4)**2 - - 0.844729172407199*a(3)*a(4)**2 - - 0.3624923879293865*a(2)**2*a(3)*a(5) - - 0.6239675473677654*a(1)*a(2)*a(4)*a(5) - - 0.6425010289093773*a(4)**2*a(5) - - 0.2106131186829173*a(1)**2*a(5)**2 - - 0.7582072272585023*a(2)**2*a(5)**2 - - 1.075109855790981*a(3)*a(5)**2) + - 0.3978873577297384* - (0.3065972305330163*a(1)*a(3)**3 + - 0.2586042488838057*a(2)*a(3)**2*a(4) + - 0.1438955403523915*a(1)*a(3)*a(4)**2 + - 0.393608173976774*a(2)*a(4)**3 + - 0.5416790247652794*a(2)*a(3)*a(4)*a(5) + - 0.2979991252707104*a(1)*a(4)**2*a(5) + - 0.3191346637518386*a(1)*a(3)*a(5)**2 + - 0.952752495887705*a(2)*a(4)*a(5)**2) alpha(6,2)=3.183098861837907*a(2) - - 1.721010055523267*a(1)*a(2) + - 0.3978873577297384* - (1.36418522650196*a(1)**2*a(2) + - 2.72837045300392*a(2)**3 + - 0.967182143224725*a(2)*a(3) + - 3.745880333458557*a(1)*a(4) + - 8.09202637613682*a(2)*a(5)) + - 0.3978873577297384* - (-0.1043036397286828*a(1)**3*a(2) - - 0.6258218383720972*a(1)*a(2)**3 - - 1.774784523845429*a(1)*a(2)*a(3) - - 0.4296069314975003*a(1)**2*a(4) - - 2.577641588985001*a(2)**2*a(4) - - 4.56875076065068*a(3)*a(4) - - 3.712228167031957*a(1)*a(2)*a(5) - - 2.548327421755717*a(4)*a(5)) + - 0.3978873577297384* - (0.239509298738359*a(1)**2*a(2)*a(3) + - 0.2906404973454244*a(2)**3*a(3) + - 1.333658004650168*a(2)*a(3)**2 + - 0.114649109865509*a(1)**3*a(4) + - 1.188181684060729*a(1)*a(2)**2*a(4) + - 1.019746013352491*a(1)*a(3)*a(4) + - 4.636321818740928*a(2)*a(4)**2 + - 0.5178562576926568*a(1)**2*a(2)*a(5) + - 1.350929367893887*a(2)**3*a(5) + - 1.72401117150591*a(2)*a(3)*a(5) + - 2.349338232637789*a(1)*a(4)*a(5) + - 6.010046802071572*a(2)*a(5)**2) + - 0.3978873577297384* - (-0.2094096151475863*a(1)*a(2)*a(3)**2 - - 0.22373515917305*a(1)**2*a(3)*a(4) - - 1.3424109550383*a(2)**2*a(3)*a(4) + - 0.1982801222296155*a(3)**2*a(4) - - 0.6498919090787162*a(1)*a(2)*a(4)**2 + - 0.3965602444592309*a(4)**3 - - 0.724984775858773*a(1)*a(2)*a(3)*a(5) - - 0.3119837736838827*a(1)**2*a(4)*a(5) - - 1.871902642103296*a(2)**2*a(4)*a(5) - - 2.654288837212958*a(3)*a(4)*a(5) - - 1.516414454517004*a(1)*a(2)*a(5)**2 - - 2.775921711214617*a(4)*a(5)**2) + - 0.3978873577297384* - (0.01339225821101465*a(2)*a(3)**3 + - 0.2586042488838057*a(1)*a(3)**2*a(4) + - 0.2051579981261819*a(2)*a(3)*a(4)**2 + - 0.393608173976774*a(1)*a(4)**3 + - 0.4315027333919887*a(2)*a(3)**2*a(5) + - 0.5416790247652794*a(1)*a(3)*a(4)*a(5) + - 1.95487426177586*a(2)*a(4)**2*a(5) + - 0.897566241802046*a(2)*a(3)*a(5)**2 + - 0.952752495887705*a(1)*a(4)*a(5)**2 + - 1.168156571061185*a(2)*a(5)**3) alpha(6,3)=0.3978873577297384*(1.450773214837088*a(1)**2 + - 0.4835910716123625*a(2)**2 + 4.*a(3)) + - 0.3978873577297384* - (0.3327720982210179*a(1)**3 - - 0.887392261922714*a(1)*a(2)**2 + - 1.966077289885839*a(1)*a(3) - - 4.56875076065068*a(2)*a(4)) + - 0.3978873577297384* - (0.0686234507621141*a(1)**4 + - 0.1197546493691795*a(1)**2*a(2)**2 + - 0.0726601243363561*a(2)**4 + - 1.706662496651753*a(1)**2*a(3) + - 1.333658004650168*a(2)**2*a(3) + - 0.821766646166462*a(3)**2 + - 1.019746013352491*a(1)*a(2)*a(4) - - 1.004381456425676*a(4)**2 + - 0.862005585752955*a(2)**2*a(5) + - 1.278303671814497*a(5)**2) + - 0.3978873577297384* - (0.2475205604330666*a(1)**3*a(3) - - 0.2094096151475863*a(1)*a(2)**2*a(3) + - 1.151903416918908*a(1)*a(3)**2 - - 0.22373515917305*a(1)**2*a(2)*a(4) - - 0.4474703183461001*a(2)**3*a(4) + - 0.3965602444592309*a(2)*a(3)*a(4) - - 0.844729172407199*a(1)*a(4)**2 - - 0.3624923879293865*a(1)*a(2)**2*a(5) - - 2.654288837212958*a(2)*a(4)*a(5) - - 1.075109855790981*a(1)*a(5)**2) + - 0.3978873577297384* - (0.4598958457995245*a(1)**2*a(3)**2 + - 0.02008838731652198*a(2)**2*a(3)**2 + - 0.801507922259461*a(3)**3 + - 0.5172084977676115*a(1)*a(2)*a(3)*a(4) + - 0.07194777017619575*a(1)**2*a(4)**2 + - 0.102578999063091*a(2)**2*a(4)**2 + - 1.885841576381114*a(3)*a(4)**2 + - 0.4315027333919887*a(2)**2*a(3)*a(5) + - 0.5416790247652794*a(1)*a(2)*a(4)*a(5) + - 0.2028248437065776*a(4)**2*a(5) + - 0.1595673318759193*a(1)**2*a(5)**2 + - 0.448783120901023*a(2)**2*a(5)**2 + - 1.279786436676417*a(3)*a(5)**2) alpha(6,4)=0.3978873577297384*(3.745880333458557*a(1)*a(2) + - 8.*a(4)) + 0.3978873577297384* - (-0.4296069314975003*a(1)**2*a(2) - - 0.859213862995001*a(2)**3 - - 4.56875076065068*a(2)*a(3) + - 1.572861831908671*a(1)*a(4) - - 2.548327421755717*a(2)*a(5)) + - 0.3978873577297384* - (0.114649109865509*a(1)**3*a(2) + - 0.3960605613535763*a(1)*a(2)**3 + - 1.019746013352491*a(1)*a(2)*a(3) + - 1.707616472334621*a(1)**2*a(4) + - 4.636321818740928*a(2)**2*a(4) - - 2.008762912851352*a(3)*a(4) + - 2.349338232637789*a(1)*a(2)*a(5) + - 4.58359535990967*a(4)*a(5)) + - 0.3978873577297384* - (-0.22373515917305*a(1)**2*a(2)*a(3) - - 0.4474703183461001*a(2)**3*a(3) + - 0.1982801222296155*a(2)*a(3)**2 + - 0.07622189057096055*a(1)**3*a(4) - - 0.6498919090787162*a(1)*a(2)**2*a(4) - - 1.689458344814398*a(1)*a(3)*a(4) + - 1.189680733377693*a(2)*a(4)**2 - - 0.3119837736838827*a(1)**2*a(2)*a(5) - - 0.6239675473677654*a(2)**3*a(5) - - 2.654288837212958*a(2)*a(3)*a(5) - - 1.285002057818754*a(1)*a(4)*a(5) - - 2.775921711214617*a(2)*a(5)**2) + - 0.3978873577297384* - (0.2586042488838057*a(1)*a(2)*a(3)**2 + - 0.1438955403523915*a(1)**2*a(3)*a(4) + - 0.2051579981261819*a(2)**2*a(3)*a(4) + - 1.885841576381114*a(3)**2*a(4) + - 1.180824521930322*a(1)*a(2)*a(4)**2 + - 2.97977110354809*a(4)**3 + - 0.5416790247652794*a(1)*a(2)*a(3)*a(5) + - 0.2979991252707104*a(1)**2*a(4)*a(5) + - 1.95487426177586*a(2)**2*a(4)*a(5) + - 0.4056496874131553*a(3)*a(4)*a(5) + - 0.952752495887705*a(1)*a(2)*a(5)**2 + - 2.898963751587464*a(4)*a(5)**2) alpha(6,5)=0.3978873577297384*(4.046013188068412*a(2)**2 + - 8.*a(5)) + 0.3978873577297384* - (-1.856114083515979*a(1)*a(2)**2 - - 2.548327421755717*a(2)*a(4) - - 5.50501641168035*a(1)*a(5)) + - 0.3978873577297384* - (0.2589281288463284*a(1)**2*a(2)**2 + - 0.3377323419734718*a(2)**4 + - 0.862005585752955*a(2)**2*a(3) + - 2.349338232637789*a(1)*a(2)*a(4) + - 2.291797679954835*a(4)**2 + - 1.535900849418291*a(1)**2*a(5) + - 6.010046802071572*a(2)**2*a(5) + - 2.556607343628994*a(3)*a(5)) + - 0.3978873577297384* - (-0.3624923879293865*a(1)*a(2)**2*a(3) - - 0.3119837736838827*a(1)**2*a(2)*a(4) - - 0.6239675473677654*a(2)**3*a(4) - - 2.654288837212958*a(2)*a(3)*a(4) - - 0.6425010289093773*a(1)*a(4)**2 - - 0.1404087457886115*a(1)**3*a(5) - - 1.516414454517004*a(1)*a(2)**2*a(5) - - 2.150219711581962*a(1)*a(3)*a(5) - - 5.551843422429234*a(2)*a(4)*a(5)) + - 0.3978873577297384* - (0.2157513666959943*a(2)**2*a(3)**2 + - 0.5416790247652794*a(1)*a(2)*a(3)*a(4) + - 0.1489995626353552*a(1)**2*a(4)**2 + - 0.97743713088793*a(2)**2*a(4)**2 + - 0.2028248437065776*a(3)*a(4)**2 + - 0.3191346637518386*a(1)**2*a(3)*a(5) + - 0.897566241802046*a(2)**2*a(3)*a(5) + - 1.279786436676417*a(3)**2*a(5) + - 1.90550499177541*a(1)*a(2)*a(4)*a(5) + - 2.898963751587464*a(4)**2*a(5) + - 1.752234856591777*a(2)**2*a(5)**2 + - 3.464615215311848*a(5)**3) alpha(7,1)=0.477464829275686*a(1) + - 0.238732414637843* - (0.1802237515728686*a(1)**2 - - 0.3604475031457372*a(2)**2) + - 0.238732414637843* - (0.4835910716123625*a(1)*a(3) + - 0.6243133889097595*a(2)*a(4)) + - 0.238732414637843* - (0.1638397741571532*a(3)**2 + - 0.1310718193257226*a(4)**2 - - 0.4587513676400292*a(5)**2) alpha(7,2)=0.954929658551372*a(2) - - 0.1721010055523267*a(1)*a(2) + - 0.238732414637843* - (0.1611970238707875*a(2)*a(3) + - 0.6243133889097595*a(1)*a(4) + - 1.348671062689471*a(2)*a(5)) + - 0.238732414637843* - (-0.7614584601084466*a(3)*a(4) - - 0.4247212369592862*a(4)*a(5)) alpha(7,3)=0.238732414637843*(0.2417955358061812*a(1)**2 + - 0.0805985119353938*a(2)**2 + 2.*a(3)) + - 0.238732414637843* - (0.3276795483143065*a(1)*a(3) - - 0.7614584601084466*a(2)*a(4)) + - 0.238732414637843* - (0.1369611076944104*a(3)**2 - - 0.1673969094042793*a(4)**2 + - 0.2130506119690828*a(5)**2) alpha(7,4)=0.238732414637843*(0.6243133889097595*a(1)*a(2) + - 4.*a(4)) + 0.238732414637843* - (-0.7614584601084466*a(2)*a(3) + - 0.2621436386514452*a(1)*a(4) - - 0.4247212369592862*a(2)*a(5)) + - 0.238732414637843* - (-0.3347938188085587*a(3)*a(4) + - 0.763932559984945*a(4)*a(5)) alpha(7,5)=0.238732414637843*(0.6743355313447354*a(2)**2 + - 4.*a(5)) + 0.238732414637843* - (-0.4247212369592862*a(2)*a(4) - - 0.917502735280058*a(1)*a(5)) + - 0.238732414637843* - (0.3819662799924725*a(4)**2 + - 0.4261012239381656*a(3)*a(5)) do 20 i=1,n do 10 j=1,n if(j.le.5)then alpha(i,j)=alpha(i,j)*fac1(i) else if(j.eq.6)then alpha(i,j)=Q(i)*fac2(i) else alpha(i,j)=Q(i)*fac3(i) endif 10 continue Q(i)=fac1(i)*Q(i) beta(i)=q0(i)-Q(i) 20 continue end c--------------------------------------------------------------------- SUBROUTINE MNEWT(NTRIAL,X,N,TOLX,TOLF,Q,ITR) c from "Numerical Recipe in Fortran" with minor modifications IMPLICIT REAL*8(A-H,O-Z) PARAMETER (NP=7,DUMP=0.9D0,eps=10.d0) DIMENSION X(NP),ALPHA(NP,NP),BETA(NP),Q(NP) ITR=0 DO 14 K=1,NTRIAL CALL momfun(X,ALPHA,BETA,Q) ERRF=0.D0 DO 11 I=1,N ERRF=ERRF+ABS(BETA(I)) 11 CONTINUE IF(ERRF.LE.TOLF)RETURN CALL SLEQS(ALPHA,N,NP,BETA,IER) IF(IER.NE.0) STOP 'SLEQS' ERRX=0.D0 DO 12 I=1,N ERRX=ERRX+ABS(BETA(I)) c X(I)=X(I)+BETA(I)*DUMP 12 CONTINUE c*** to avoid solution too far away do 13 i=1,n if(errx.gt.eps)then x(i)=x(i)+beta(i)/errx*.005 else x(i)=x(i)+beta(i)*dump endif 13 continue c*** IF(ERRX.LE.TOLX)RETURN ITR=ITR+1 c write(07,*)itr,x 14 CONTINUE RETURN END C===== SLEQS.FOR ====================================================* C A SIMPLE (SMALL) ROUTINE TO SOLVE LINEAR EQUATIONS C 25/MAY/94, by Naoki Tajima : (e-mail) tajima@nt1.c.u-tokyo.ac.jp C THE SOLUTION OF A*X=B IS RETURNED IN B. A IS DESTROYED. C IER= 0:SOLUTION OBTAINED, -1:DIMENSION ERROR, >0:DETERMINAT(A)=0 SUBROUTINE SLEQS(A,N,NA,B,IER) IMPLICIT REAL*8 (A-H,O-Z) PARAMETER(MXN=8) DIMENSION A(NA,N), B(N), LI(MXN) IF((N.LE.0).OR.(N.GT.NA).OR.(N.GT.MXN)) THEN WRITE(6,900) N,NA,MXN 900 FORMAT(' SLEQS:ERR1:N=',I12,' NA=',I12,' MXN=',I12) IER=-1 RETURN END IF EPS =4.0D-15*N DO 10 I=1,N 10 LI(I)=I DO 60 K=1,N I=K D=ABS(A(LI(I),K)) DO 20 I1=K+1,N D1=ABS(A(LI(I1),K)) IF(D1.GT.D) THEN I=I1 D=D1 END IF 20 CONTINUE IF(D.LT.EPS) THEN IER=K RETURN END IF IF(I.NE.K) THEN L =LI(K) LI(K)=LI(I) LI(I)=L END IF L=LI(K) F=1.0D0/A(L,K) DO 30 J=K+1,N 30 A(L,J)=A(L,J)*F B(L )=B(L )*F DO 50 I1=K+1,N L1=LI(I1) F=-A(L1,K) DO 40 J=K+1,N 40 A(L1,J)=A(L1,J)+A(L,J)*F B(L1 )=B(L1 )+B(L )*F 50 CONTINUE 60 CONTINUE DO 80 I=N,1,-1 L=LI(I) S=B(L) DO 70 J=I+1,N 70 S=S-A(L,J)*A(J,1) A(I,1)=S 80 CONTINUE DO 90 I=1,N 90 B(I)=A(I,1) IER=0 END