8 x1^2+x2^2-1; x3^2+x4^2-1; x5^2+x6^2-1; x7^2+x8^2-1; -2.49150680000000E-01*x1*x3+ 1.60913540000000E+00*x1*x4+ 2.79423430000000E-01 *x2*x3+ 1.43480160000000E+00*x2*x4+ 4.00263840000000E-01*x5*x8 -8.00527680000000E-01*x6*x7+ 7.40523880000000E-02*x1-8.30500310000000E-02*x2 -3.86159610000000E-01*x3-7.55266030000000E-01*x4+ 5.04201680000000E-01*x5 -1.09162870000000E+00*x6+ 4.00263840000000E-01*x8+ 4.92072900000000E-02; 1.25016350000000E-01*x1*x3-6.86607360000000E-01*x1*x4-1.19228120000000E-01* x2*x3-7.19940470000000E-01*x2*x4-4.32419270000000E-01*x5*x7 -8.64838550000000E-01*x6*x8-3.71572700000000E-02*x1+ 3.54368960000000E-02*x2+ 8.53834820000000E-02*x3-3.92519670000000E-02*x5-4.32419270000000E-01*x7+ 1.38730100000000E-02; -6.35550070000000E-01*x1*x3-1.15719920000000E-01*x1*x4-6.66404480000000E-01* x2*x3+ 1.10362110000000E-01*x2*x4+ 2.90702030000000E-01*x5*x7+ 1.25877670000000E+00*x5*x8-6.29388360000000E-01*x6*x7+ 5.81404060000000E-01* x6*x8+ 1.95946620000000E-01*x1-1.22803420000000E+00*x2-7.90342210000000E-02* x4+ 2.63878770000000E-02*x5-5.71314300000000E-02*x6-1.16280810000000E+00*x7+ 1.25877670000000E+00*x8+ 2.16257500000000E+00; 1.48947730000000E+00*x1*x3+ 2.30623410000000E-01*x1*x4+ 1.32810730000000E+00 *x2*x3-2.58645030000000E-01*x2*x4+ 1.16517200000000E+00*x5*x7 -2.69084940000000E-01*x5*x8+ 5.38169870000000E-01*x6*x7+ 5.82585980000000E-01 *x6*x8-2.08169850000000E-01*x1+ 2.68683200000000E+00*x2-6.99103170000000E-01* x3+ 3.57444130000000E-01*x4+ 1.24991170000000E+00*x5+ 1.46773600000000E+00*x6 + 1.16517200000000E+00*x7+ 1.10763397000000E+00*x8-6.96868090000000E-01; TITLE : six-revolute-joint problem of mechanics ROOT COUNTS : total degree : 256 2-homogeneous Bezout number : 96 with partition {{x1 x2 x5 x6 }{x3 x4 x7 x8 }} mixed volume : 64 REFERENCES : A. Morgan and A. Sommese `Computing all solutions to polynomial systems using homotopy continuation', Appl. Math. Comput., Vol. 24, pp 115-138, 1987. NOTE : 16 paths are diverging to infinity, to the face with outer normal (-1,-1,0,0,-1,-1,0,0), with m equal to one. 16 paths go to a connected component of solutions. THE SOLUTIONS : 48 8 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -2.43282903101556E-01 -2.94408275220384E-02 x2 : 9.70430144862905E-01 -7.38069610387625E-03 x3 : 7.90232572740576E-01 5.55363935838713E-01 x4 : -9.47817122513395E-01 4.63028849554210E-01 x5 : 1.56949278966486E-01 4.97221443925937E-02 x6 : -9.88889018969251E-01 7.89153743381568E-03 x7 : -5.51311311947918E-01 -2.82217379891944E-01 x8 : -8.97634017801878E-01 1.73333040946620E-01 =========================================================== solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.84327994287113E-01 4.31054543006158E-01 x2 : 1.03145382563470E+00 1.60614390896231E-01 x3 : -9.72122475332896E-01 -2.01002618206423E-02 x4 : 2.48157047715486E-01 -7.87401222564700E-02 x5 : -9.84686981419462E-01 -3.88015783991157E-02 x6 : -2.39480691408936E-01 1.59542754296183E-01 x7 : 9.86853015599417E-01 6.99514490496133E-02 x8 : -2.93699297875874E-01 2.35042436054222E-01 =========================================================== solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -4.66817832485825E-01 -1.33399920187989E-01 x2 : 8.97048405769974E-01 -6.94204027289775E-02 x3 : 3.83650620376420E+01 6.92650280149314E+00 x4 : -6.92878255226287E+00 3.83524389283076E+01 x5 : -5.95847532076633E-01 1.61113853595054E-01 x6 : -8.27278197096506E-01 -1.16042333020375E-01 x7 : -1.88471120523686E+01 5.97021327377926E+00 x8 : 5.97786350302912E+00 1.88229922764946E+01 =========================================================== solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 8.90263062473586E-01 -4.97841222228891E-60 x2 : 4.55446681396573E-01 5.97409466674669E-59 x3 : 9.93548991629860E-01 2.48920611114446E-59 x4 : 1.13403709072009E-01 -1.59309191113245E-58 x5 : 6.83993578531617E-01 -2.98704733337335E-59 x6 : -7.29488029050177E-01 -1.39395542224090E-58 x7 : -6.50842505342338E-01 -1.99136488891557E-59 x8 : -7.59212772047276E-01 3.48488855560224E-59 =========================================================== solution 5 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.86016465856974E-01 4.85327483624948E-02 x2 : 9.23990159608465E-01 2.02755838970782E-02 x3 : -6.99740548138723E+00 -5.04122002325415E+00 x4 : 5.07529546028656E+00 -6.95042503429070E+00 x5 : 1.39792459187183E+00 -1.30902560048315E+00 x6 : -1.49952319884309E+00 -1.22033395663168E+00 x7 : -1.41378934084059E+00 3.16175488331360E-01 x8 : -4.29478567559684E-01 -1.04080987737723E+00 =========================================================== solution 6 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 7.15050057946986E-01 3.00332201781925E-01 x2 : -8.06144491669442E-01 2.66394623428836E-01 x3 : -1.17226618267558E+00 -6.59709829424760E-01 x4 : -8.96917740743071E-01 8.62236845457664E-01 x5 : 1.02449413291942E+00 3.55204487517655E-01 x6 : 6.35771111257133E-01 -5.72383530810205E-01 x7 : 4.62569434611436E-01 -2.61492873578260E-01 x8 : -9.33382055666306E-01 -1.29591746436209E-01 =========================================================== solution 7 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.90105616649796E-01 1.46361409006637E-01 x2 : 9.34330579693792E-01 6.11094284562315E-02 x3 : -1.30371082816316E+02 3.28400132191049E+01 x4 : -3.28409216869278E+01 -1.30367476403107E+02 x5 : 5.59934977756603E-01 -1.20878004119045E+00 x6 : -1.53072978693239E+00 -4.42167018146945E-01 x7 : -2.09981752087295E+01 1.41121967219347E+01 x8 : -1.41232281008305E+01 -2.09817739423055E+01 =========================================================== solution 8 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -8.82166557774748E-01 -1.31605549040402E-01 x2 : 5.34974824092091E-01 -2.17015846265398E-01 x3 : -1.03298947141407E+00 2.17304268648964E-03 x4 : 8.66325938297360E-03 2.59109200919094E-01 x5 : -9.85197578737370E-01 4.02014899559440E-02 x6 : -2.40899696241229E-01 -1.64410379856063E-01 x7 : 9.00200916458528E-01 1.06990841728326E-01 x8 : -4.89666172515785E-01 1.96691662978625E-01 =========================================================== solution 9 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -1.40166387519314E+00 5.31947746054420E-01 x2 : 6.92082887967386E-01 1.07734485579425E+00 x3 : -8.54318493313873E-01 -4.09489806471163E-02 x4 : -5.25592029342307E-01 6.65601255273212E-02 x5 : -1.42157932791586E+00 6.44037061912437E-02 x6 : -9.04351577842544E-02 -1.01238256896787E+00 x7 : 6.10735356723624E-01 2.82106815072075E-01 x8 : -8.63920889136284E-01 1.99430999416464E-01 =========================================================== solution 10 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -5.63632634326487E-01 9.78795670199778E-55 x2 : 8.26025576796617E-01 6.52530446799853E-55 x3 : 3.59042018100760E-01 -1.30506089359971E-53 x4 : 9.33321396539334E-01 2.83148729054928E-54 x5 : -8.61896851786451E-01 5.70964140949871E-55 x6 : -5.07083638939973E-01 -1.30506089359971E-54 x7 : 9.11509527433635E-01 1.30506089359971E-54 x8 : 4.11278958126612E-01 -4.24144790419904E-54 =========================================================== solution 11 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.09576522500370E-01 1.16992153011164E-01 x2 : -4.84377697448907E-01 2.19690783155742E-01 x3 : -6.61481721485935E+01 1.10794820776781E+03 x4 : 1.10794865744947E+03 6.61481453011222E+01 x5 : 5.20582150102636E-01 1.22096765067128E+00 x6 : -1.54559878026962E+00 4.11241243786011E-01 x7 : -6.49848936527419E+01 1.22371196637917E+02 x8 : 1.22374383756971E+02 6.49832011858512E+01 =========================================================== solution 12 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 8.96008925977361E-01 1.37916828056391E-01 x2 : -5.21799502443328E-01 2.36824121913441E-01 x3 : -1.67832601564421E+00 1.18639876273119E+00 x4 : -1.34053414464405E+00 -1.48535113139439E+00 x5 : 1.14364458089410E+00 1.18700198265749E+00 x6 : 1.41965380581300E+00 -9.56224946827357E-01 x7 : 5.13306435425386E-01 1.27260715836580E-02 x8 : -8.58333487897066E-01 7.61053195953034E-03 =========================================================== solution 13 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 8.96008925977361E-01 -1.37916828056391E-01 x2 : -5.21799502443328E-01 -2.36824121913441E-01 x3 : -1.67832601564421E+00 -1.18639876273119E+00 x4 : -1.34053414464405E+00 1.48535113139439E+00 x5 : 1.14364458089410E+00 -1.18700198265749E+00 x6 : 1.41965380581300E+00 9.56224946827357E-01 x7 : 5.13306435425386E-01 -1.27260715836580E-02 x8 : -8.58333487897066E-01 -7.61053195953036E-03 =========================================================== solution 14 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -7.57258675828233E-01 -7.83036536159823E-54 x2 : 6.53115072466462E-01 0.00000000000000E+00 x3 : 8.20385005974871E-01 -6.58670547374113E-54 x4 : -5.71811544104883E-01 -9.45002678791439E-54 x5 : -9.99961712987511E-01 6.11747293874861E-56 x6 : 8.75057478582336E-03 5.87277402119867E-54 x7 : 8.08712248609425E-01 -1.63132611699963E-54 x8 : 5.88204470357959E-01 -2.61012178719941E-54 =========================================================== solution 15 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 5.43145576511620E-01 -7.35010295275354E-51 x2 : 8.39638542895608E-01 5.01143383142287E-51 x3 : -9.71425748338696E-01 -6.68191177523049E-52 x4 : -2.37343665313834E-01 -5.01143383142287E-51 x5 : 9.49659281415783E-01 1.33638235504610E-51 x6 : -3.13284613763360E-01 -1.43661103167455E-50 x7 : -1.21505234654354E-01 -4.00914706513829E-51 x8 : -9.92590790785201E-01 9.18762869094192E-52 =========================================================== solution 16 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 1.07066968427853E+00 -3.61244124239409E-01 x2 : -6.15577815756741E-01 -6.28309082209880E-01 x3 : 1.02796820299170E+01 -3.35427155106707E+00 x4 : 3.36869611335233E+00 1.02356650249027E+01 x5 : -4.03631455063429E+00 5.78187994696215E+00 x6 : 5.84010931079321E+00 3.99607009355348E+00 x7 : -9.94775947662603E-01 -8.68774383760576E-01 x8 : -1.15227213970921E+00 7.50027559573315E-01 =========================================================== solution 17 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.96079358423636E-01 -1.53161162156039E-01 x2 : 9.33169647331417E-01 -6.50085169568719E-02 x3 : -2.00100983242770E+02 -1.92485522008551E+02 x4 : -1.92486770442193E+02 2.00099685424751E+02 x5 : -1.24626670683004E+00 8.76024823670223E-01 x6 : 1.09732513526266E+00 9.94928975025735E-01 x7 : 1.09291658994622E+02 -4.00404470120988E+01 x8 : -4.00419248168421E+01 -1.09287625428983E+02 =========================================================== solution 18 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.09193320626674E-01 -1.17454041564867E-01 x2 : -4.85357432758308E-01 -2.20020180724341E-01 x3 : 1.66318576386636E+02 3.90626516319047E+02 x4 : -3.90627599881491E+02 1.66318115035305E+02 x5 : -1.26396725627328E+00 -8.68183646370364E-01 x6 : 1.08544632925558E+00 -1.01097186647328E+00 x7 : 6.67272200286646E+01 -9.78199207779192E+01 x8 : 9.78234090664332E+01 6.67248406002903E+01 =========================================================== solution 19 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -1.40166387519314E+00 -5.31947746054421E-01 x2 : 6.92082887967386E-01 -1.07734485579425E+00 x3 : -8.54318493313873E-01 4.09489806471164E-02 x4 : -5.25592029342307E-01 -6.65601255273212E-02 x5 : -1.42157932791586E+00 -6.44037061912440E-02 x6 : -9.04351577842547E-02 1.01238256896787E+00 x7 : 6.10735356723624E-01 -2.82106815072075E-01 x8 : -8.63920889136284E-01 -1.99430999416464E-01 =========================================================== solution 20 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.09576522500370E-01 -1.16992153011164E-01 x2 : -4.84377697448907E-01 -2.19690783155742E-01 x3 : -6.61481721485310E+01 -1.10794820776781E+03 x4 : 1.10794865744947E+03 -6.61481453010597E+01 x5 : 5.20582150102635E-01 -1.22096765067128E+00 x6 : -1.54559878026962E+00 -4.11241243786011E-01 x7 : -6.49848936527349E+01 -1.22371196637921E+02 x8 : 1.22374383756975E+02 -6.49832011858442E+01 =========================================================== solution 21 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.76983041600966E-01 1.77899219103737E-47 x2 : 2.13316985784361E-01 -5.47382212626882E-48 x3 : -2.04225913971919E-01 1.12213353588511E-46 x4 : 9.78923784603446E-01 8.21073318940322E-48 x5 : 3.24786582362551E-01 -4.37905770101505E-47 x6 : 9.45787331231104E-01 0.00000000000000E+00 x7 : -1.01367861518584E-01 -2.05268329735081E-47 x8 : -9.94849011986819E-01 8.55284707229503E-49 =========================================================== solution 22 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 1.07066968427853E+00 3.61244124239409E-01 x2 : -6.15577815756741E-01 6.28309082209880E-01 x3 : 1.02796820299170E+01 3.35427155106705E+00 x4 : 3.36869611335231E+00 -1.02356650249027E+01 x5 : -4.03631455063429E+00 -5.78187994696215E+00 x6 : 5.84010931079320E+00 -3.99607009355348E+00 x7 : -9.94775947662602E-01 8.68774383760577E-01 x8 : -1.15227213970921E+00 -7.50027559573315E-01 =========================================================== solution 23 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.26220209305980E-01 2.50026422675428E-01 x2 : -5.96229190745588E-01 3.88406889727873E-01 x3 : 4.78984559706409E+02 1.37593767507872E+02 x4 : 1.37594044515258E+02 -4.78983595404058E+02 x5 : -6.04729831218954E-01 -1.46091842056092E-01 x6 : -8.16909044402171E-01 1.08146795037261E-01 x7 : -1.00906189439625E+02 -1.35554125721117E+02 x8 : 1.35556499127394E+02 -1.00904422712210E+02 =========================================================== solution 24 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.09193320626674E-01 1.17454041564867E-01 x2 : -4.85357432758308E-01 2.20020180724341E-01 x3 : 1.66318576386643E+02 -3.90626516319053E+02 x4 : -3.90627599881497E+02 -1.66318115035312E+02 x5 : -1.26396725627328E+00 8.68183646370364E-01 x6 : 1.08544632925558E+00 1.01097186647328E+00 x7 : 6.67272200286647E+01 9.78199207779218E+01 x8 : 9.78234090664358E+01 -6.67248406002905E+01 =========================================================== solution 25 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -5.25281880049239E-01 7.13904006067185E-01 x2 : 1.15705581279301E+00 3.24099178566365E-01 x3 : 1.02092822039954E+00 -1.13432493925635E+00 x4 : -1.39169919382432E+00 -8.32122592819422E-01 x5 : -2.15800979682463E+00 1.20366853482486E-01 x6 : -1.35757405386090E-01 -1.91336044092350E+00 x7 : 2.16124159830937E-01 4.75889312518269E-01 x8 : -1.09025702738662E+00 9.43366337083563E-02 =========================================================== solution 26 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -8.82166557774748E-01 1.31605549040402E-01 x2 : 5.34974824092091E-01 2.17015846265398E-01 x3 : -1.03298947141407E+00 -2.17304268648963E-03 x4 : 8.66325938297358E-03 -2.59109200919094E-01 x5 : -9.85197578737370E-01 -4.02014899559440E-02 x6 : -2.40899696241229E-01 1.64410379856063E-01 x7 : 9.00200916458528E-01 -1.06990841728326E-01 x8 : -4.89666172515785E-01 -1.96691662978625E-01 =========================================================== solution 27 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -4.72612377580488E-01 -1.37346305479271E-01 x2 : 8.94853851681128E-01 -7.25387322885265E-02 x3 : -6.58727136860909E+02 3.90245919912403E+02 x4 : -3.90246252765849E+02 -6.58726575011574E+02 x5 : -5.02518709053243E+00 -1.23982073056003E+00 x6 : -1.26357503894456E+00 4.93071716183063E+00 x7 : 1.15638139366297E+02 2.51067899112687E+01 x8 : 2.51076864654524E+01 -1.15634010118555E+02 =========================================================== solution 28 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -5.25281880049241E-01 -7.13904006067185E-01 x2 : 1.15705581279301E+00 -3.24099178566367E-01 x3 : 1.02092822039953E+00 1.13432493925635E+00 x4 : -1.39169919382432E+00 8.32122592819420E-01 x5 : -2.15800979682463E+00 -1.20366853482486E-01 x6 : -1.35757405386090E-01 1.91336044092351E+00 x7 : 2.16124159830938E-01 -4.75889312518269E-01 x8 : -1.09025702738662E+00 -9.43366337083568E-02 =========================================================== solution 29 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.25682167123519E-01 2.49529540057049E-01 x2 : -5.96214237207959E-01 3.87419539800048E-01 x3 : -1.15437644894842E+03 1.08842317438727E+03 x4 : 1.08842339058020E+03 1.15437621965528E+03 x5 : -5.05491782410239E+00 1.27538290539845E+00 x6 : -1.29945723034985E+00 -4.96126815910549E+00 x7 : 3.41229425821929E+01 -1.55752402883570E+02 x8 : 1.55755466054932E+02 3.41222715019210E+01 =========================================================== solution 30 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -4.74353212827081E-01 0.00000000000000E+00 x2 : 8.80334612224594E-01 0.00000000000000E+00 x3 : 8.11098221212725E-01 -5.44513836812850E-61 x4 : 5.84909972171404E-01 1.01123998265244E-60 x5 : 7.82615623451913E-01 7.95156024411198E-61 x6 : -6.22505249720011E-01 8.16770755219275E-61 x7 : -7.42855401009290E-01 -6.22301527786114E-61 x8 : -6.69451905062139E-01 1.55575381946529E-61 =========================================================== solution 31 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -4.66817832485824E-01 1.33399920187989E-01 x2 : 8.97048405769974E-01 6.94204027289775E-02 x3 : 3.83650620376420E+01 -6.92650280149401E+00 x4 : -6.92878255226374E+00 -3.83524389283076E+01 x5 : -5.95847532076632E-01 -1.61113853595053E-01 x6 : -8.27278197096507E-01 1.16042333020375E-01 x7 : -1.88471120523688E+01 -5.97021327377886E+00 x8 : 5.97786350302872E+00 -1.88229922764948E+01 =========================================================== solution 32 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.25682167123519E-01 -2.49529540057050E-01 x2 : -5.96214237207960E-01 -3.87419539800048E-01 x3 : -1.15437644894864E+03 -1.08842317438714E+03 x4 : 1.08842339058007E+03 -1.15437621965549E+03 x5 : -5.05491782410239E+00 -1.27538290539844E+00 x6 : -1.29945723034984E+00 4.96126815910549E+00 x7 : 3.41229425822181E+01 1.55752402883571E+02 x8 : 1.55755466054933E+02 -3.41222715019462E+01 =========================================================== solution 33 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 4.19954113378731E-01 6.70220632249386E-02 x2 : 9.10541607713144E-01 -3.09114826824141E-02 x3 : 6.54370966719902E-01 3.30531386311831E-02 x4 : -7.57434203182222E-01 2.85556345202577E-02 x5 : -3.96287306897842E-01 9.03426928103009E-03 x6 : -9.18179281070557E-01 -3.89920173214429E-03 x7 : 6.32861720396729E-01 2.35245516682733E-02 x8 : -7.74860378638821E-01 1.92135107830629E-02 =========================================================== solution 34 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -2.43282903101556E-01 2.94408275220383E-02 x2 : 9.70430144862905E-01 7.38069610387620E-03 x3 : 7.90232572740575E-01 -5.55363935838711E-01 x4 : -9.47817122513394E-01 -4.63028849554208E-01 x5 : 1.56949278966487E-01 -4.97221443925935E-02 x6 : -9.88889018969251E-01 -7.89153743381568E-03 x7 : -5.51311311947918E-01 2.82217379891943E-01 x8 : -8.97634017801878E-01 -1.73333040946619E-01 =========================================================== solution 35 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.84327994287113E-01 -4.31054543006158E-01 x2 : 1.03145382563470E+00 -1.60614390896231E-01 x3 : -9.72122475332895E-01 2.01002618206423E-02 x4 : 2.48157047715486E-01 7.87401222564700E-02 x5 : -9.84686981419462E-01 3.88015783991156E-02 x6 : -2.39480691408936E-01 -1.59542754296182E-01 x7 : 9.86853015599417E-01 -6.99514490496134E-02 x8 : -2.93699297875874E-01 -2.35042436054222E-01 =========================================================== solution 36 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -9.77088236233244E-01 6.80642296016062E-62 x2 : -2.12834627386166E-01 -3.76545091443606E-61 x3 : -9.93624356664283E-01 -1.94469227433161E-62 x4 : -1.12741464614795E-01 2.33363072919793E-61 x5 : -9.99980108950997E-01 2.43086534291451E-62 x6 : -6.30727376551486E-03 -2.33363072919793E-61 x7 : 9.98599050014647E-01 1.55575381946529E-61 x8 : -5.29144338516758E-02 5.83407682299482E-61 =========================================================== solution 37 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 6 the solution for t : x1 : -4.72612377580488E-01 1.37346305479270E-01 x2 : 8.94853851681128E-01 7.25387322885264E-02 x3 : -6.58727136860879E+02 -3.90245919912362E+02 x4 : -3.90246252765807E+02 6.58726575011545E+02 x5 : -5.02518709053243E+00 1.23982073056003E+00 x6 : -1.26357503894456E+00 -4.93071716183063E+00 x7 : 1.15638139366289E+02 -2.51067899112704E+01 x8 : 2.51076864654542E+01 1.15634010118547E+02 =========================================================== solution 38 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 4.19954113378731E-01 -6.70220632249383E-02 x2 : 9.10541607713144E-01 3.09114826824139E-02 x3 : 6.54370966719901E-01 -3.30531386311829E-02 x4 : -7.57434203182223E-01 -2.85556345202576E-02 x5 : -3.96287306897842E-01 -9.03426928103006E-03 x6 : -9.18179281070558E-01 3.89920173214428E-03 x7 : 6.32861720396729E-01 -2.35245516682732E-02 x8 : -7.74860378638821E-01 -1.92135107830628E-02 =========================================================== solution 39 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.86016465856975E-01 -4.85327483624949E-02 x2 : 9.23990159608465E-01 -2.02755838970783E-02 x3 : -6.99740548138724E+00 5.04122002325416E+00 x4 : 5.07529546028657E+00 6.95042503429071E+00 x5 : 1.39792459187183E+00 1.30902560048316E+00 x6 : -1.49952319884309E+00 1.22033395663168E+00 x7 : -1.41378934084059E+00 -3.16175488331359E-01 x8 : -4.29478567559682E-01 1.04080987737724E+00 =========================================================== solution 40 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.26220209305980E-01 -2.50026422675428E-01 x2 : -5.96229190745587E-01 -3.88406889727873E-01 x3 : 4.78984559706422E+02 -1.37593767507824E+02 x4 : 1.37594044515210E+02 4.78983595404071E+02 x5 : -6.04729831218954E-01 1.46091842056092E-01 x6 : -8.16909044402172E-01 -1.08146795037261E-01 x7 : -1.00906189439639E+02 1.35554125721107E+02 x8 : 1.35556499127384E+02 1.00904422712223E+02 =========================================================== solution 41 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.24501788760113E-01 3.34235937055928E-02 x2 : -3.90727290815449E-01 7.90837315282560E-02 x3 : -6.30392644369540E-01 3.18759399502622E+00 x4 : 3.33560644638927E+00 6.02419931726725E-01 x5 : 8.40374485937929E-01 1.13182948811102E+00 x6 : 1.42203963004664E+00 -6.68870686964955E-01 x7 : -6.49893609343960E-01 -8.16604481043994E-01 x8 : -1.20002592987361E+00 4.42245471852454E-01 =========================================================== solution 42 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.20689959454847E-01 8.55664600705907E-61 x2 : 3.90294758559517E-01 -2.64478149309098E-60 x3 : -6.86808395445136E-01 -9.33452291679171E-61 x4 : 7.26838515728272E-01 -3.73380916671668E-60 x5 : 3.93179190255471E-01 7.46761833343337E-60 x6 : 9.19461866718817E-01 -4.35611069450280E-60 x7 : 6.29073546304065E-03 -4.66726145839585E-61 x8 : -9.99980213127907E-01 1.94469227433161E-61 =========================================================== solution 43 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.24501788760113E-01 -3.34235937055927E-02 x2 : -3.90727290815449E-01 -7.90837315282559E-02 x3 : -6.30392644369541E-01 -3.18759399502622E+00 x4 : 3.33560644638927E+00 -6.02419931726726E-01 x5 : 8.40374485937928E-01 -1.13182948811102E+00 x6 : 1.42203963004664E+00 6.68870686964955E-01 x7 : -6.49893609343959E-01 8.16604481043993E-01 x8 : -1.20002592987360E+00 -4.42245471852453E-01 =========================================================== solution 44 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.96079358423636E-01 1.53161162156039E-01 x2 : 9.33169647331417E-01 6.50085169568718E-02 x3 : -2.00100983242774E+02 1.92485522008554E+02 x4 : -1.92486770442196E+02 -2.00099685424755E+02 x5 : -1.24626670683004E+00 -8.76024823670224E-01 x6 : 1.09732513526266E+00 -9.94928975025735E-01 x7 : 1.09291658994624E+02 4.00404470120998E+01 x8 : -4.00419248168431E+01 1.09287625428985E+02 =========================================================== solution 45 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 7.15050057946985E-01 -3.00332201781925E-01 x2 : -8.06144491669442E-01 -2.66394623428836E-01 x3 : -1.17226618267558E+00 6.59709829424759E-01 x4 : -8.96917740743071E-01 -8.62236845457663E-01 x5 : 1.02449413291942E+00 -3.55204487517655E-01 x6 : 6.35771111257133E-01 5.72383530810205E-01 x7 : 4.62569434611436E-01 2.61492873578260E-01 x8 : -9.33382055666306E-01 1.29591746436209E-01 =========================================================== solution 46 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 9.55291215580299E-01 -4.55787251796470E-64 x2 : 2.95666524035297E-01 -3.03858167864314E-64 x3 : 9.44024503950973E-01 8.35609961626862E-64 x4 : 3.29875333937109E-01 -1.06350358752510E-63 x5 : -9.61151337738177E-01 4.55787251796470E-64 x6 : -2.76021930223149E-01 -9.11574503592940E-64 x7 : 8.77066222903331E-01 9.87539045559019E-64 x8 : 4.80369483462558E-01 -6.07716335728627E-64 =========================================================== solution 47 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -3.90105616649796E-01 -1.46361409006637E-01 x2 : 9.34330579693792E-01 -6.11094284562316E-02 x3 : -1.30371082816317E+02 -3.28400132191062E+01 x4 : -3.28409216869291E+01 1.30367476403108E+02 x5 : 5.59934977756602E-01 1.20878004119045E+00 x6 : -1.53072978693239E+00 4.42167018146945E-01 x7 : -2.09981752087296E+01 -1.41121967219349E+01 x8 : -1.41232281008308E+01 2.09817739423055E+01 =========================================================== solution 48 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -8.56041319597044E-01 1.05791259723639E-59 x2 : -5.16907399001553E-01 4.97841222228891E-60 x3 : -9.87457641650654E-01 -1.55575381946529E-60 x4 : 1.57884153561177E-01 -4.97841222228891E-60 x5 : 8.90278965703525E-01 -2.48920611114446E-60 x6 : -4.55415593964305E-01 1.61798397224390E-59 x7 : -3.27462171811483E-01 6.22301527786114E-60 x8 : -9.44864289743510E-01 -2.17805534725140E-60 ===========================================================