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
===========================================================