7
 1*x1+2*x2+2*x3+2*x4+2*x5+2*x6+2*x7-1;
 2*x4*x3+2*x5*x2+2*x6*x1+2*x7*x2-1*x6;
 1*x3^2+2*x4*x2+2*x5*x1+2*x6*x2+2*x7*x3-1*x5;
 2*x3*x2+2*x4*x1+2*x5*x2+2*x6*x3+2*x7*x4-1*x4;
 1*x2^2+2*x3*x1+2*x4*x2+2*x5*x3+2*x6*x4+2*x7*x5-1*x3;
 2*x2*x1+2*x3*x2+2*x4*x3+2*x5*x4+2*x6*x5+2*x7*x6-1*x2;
 1*x1^2+2*x2^2+2*x3^2+2*x4^2+2*x5^2+2*x6^2+2*x7^2-1*x1;

TITLE : katsura 6, a problem of magnetism in physics

ROOT COUNTS :

total degree : 64

REFERENCES :

The system was communicated to me by Fabrice Rouillier.
See the files katsura5 and katsura7 for more references.

Shigetoshi Katsura:
 "Spin Glass Problem by the Method of Integral Equation
  of the Effective Field".  In "New Trends in Magnetism",
edited by Mauricio D. Coutinho-Filho and Sergio M. Resende,
pages 110-121, World Scientific, 1990.

NOTE :

The total degree homotopy takes 26s320ms to solve the system.

THE SOLUTIONS :

64 7
===========================================================================
solution 1 :         start residual :  3.053E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.89220412645790E-01   0.00000000000000E+00
 x2 :  2.90074860195048E-01  -4.26992471162173E-49
 x3 :  1.12713644632975E-01  -1.09476442525376E-47
 x4 : -4.22648669425881E-02   0.00000000000000E+00
 x5 : -9.53323076356698E-02  -2.73691106313441E-48
 x6 : -5.17813123209092E-02   2.18952885050753E-47
 x7 :  9.19797757482494E-02  -5.71180337116749E-48
== err :  1.885E-16 = rco :  7.039E-02 = res :  3.053E-16 = real regular ==
solution 2 :         start residual :  8.327E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.33333333333333E-01  -8.75811540203011E-47
 x2 :  1.02716263700653E-33   2.73691106313441E-47
 x3 : -1.09476442525376E-47   0.00000000000000E+00
 x4 :  9.24446373305873E-33   2.18952885050753E-47
 x5 : -1.09476442525376E-47   0.00000000000000E+00
 x6 :  5.13581318503264E-33   1.64214663788065E-47
 x7 :  3.33333333333333E-01  -2.18952885050753E-47
== err :  3.238E-17 = rco :  3.956E-02 = res :  8.327E-17 = real regular ==
solution 3 :         start residual :  1.665E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.46278031054675E-01   2.42144374635328E-42
 x2 :  1.02060836526215E-32  -2.69049305150365E-42
 x3 :  2.33474496406287E-01  -1.65913738176058E-42
 x4 : -4.84462597983132E-32   6.81591573047591E-42
 x5 : -1.84607945554600E-01   6.16571324302920E-43
 x6 :  5.14633135974137E-32  -7.71274674764379E-42
 x7 :  7.79944336209748E-02   3.40795786523796E-42
== err :  1.856E-16 = rco :  7.464E-03 = res :  1.665E-16 = real regular ==
solution 4 :         start residual :  1.826E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.19200480686798E-01  -8.85748041455231E-02
 x2 :  4.55129471301648E-32   3.55823930786082E-32
 x3 : -2.15259260093658E-01   3.84326760753415E-02
 x4 : -7.32695840974705E-33   4.63945770768311E-32
 x5 :  2.64467092877992E-01   1.09231447912142E-01
 x6 :  1.82124139095926E-32  -6.82627679482345E-33
 x7 :  1.91191926872267E-01  -1.03376721914722E-01
== err :  5.875E-16 = rco :  2.627E-02 = res :  1.826E-16 = complex regular ==
solution 5 :         start residual :  1.947E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.83941604980343E-01   9.28863069531283E-02
 x2 :  3.54859598434051E-02  -4.46404653444325E-03
 x3 : -2.57130521016196E-01  -3.36186511653188E-02
 x4 :  4.91003115883692E-02  -5.34195784623990E-03
 x5 :  2.25451034325336E-01  -1.11221240977948E-01
 x6 :  2.89580792948116E-02   9.94792180850745E-03
 x7 :  1.76164333474103E-01   9.82548212388787E-02
== err :  9.035E-16 = rco :  2.347E-02 = res :  1.947E-16 = complex regular ==
solution 6 :         start residual :  2.836E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.40991155708102E-01  -6.16984256578735E-02
 x2 : -1.96405817626844E-01   3.05407917117738E-02
 x3 :  1.40758610954513E-01   3.46536245636146E-02
 x4 : -2.63563258090879E-02  -7.33820402376900E-02
 x5 : -1.14492445252435E-01   2.85284683847485E-02
 x6 :  2.19189320570021E-01   1.24743418292973E-01
 x7 :  2.06811079309782E-01  -1.14235049886484E-01
== err :  4.935E-16 = rco :  2.573E-02 = res :  2.836E-16 = complex regular ==
solution 7 :         start residual :  3.469E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.83437928085824E-01   6.37924269821032E-02
 x2 : -2.21787882660417E-01   2.98143308697907E-02
 x3 : -1.12765216678369E-01  -2.83233933470250E-02
 x4 :  2.25384011159799E-02  -7.60425589068751E-02
 x5 :  1.38032240618441E-01  -8.02781378659619E-02
 x6 :  1.93972798585749E-01  -3.48315567658782E-02
 x7 :  8.82906949757045E-02   1.57765102524898E-01
== err :  5.084E-16 = rco :  3.356E-02 = res :  3.469E-16 = complex regular ==
solution 8 :         start residual :  9.021E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  1.87593321799753E-01  -5.47382212626882E-48
 x2 :  4.96691590463265E-34   2.18952885050753E-47
 x3 :  7.83537531605094E-02  -2.46321995682097E-47
 x4 :  2.61003347326198E-33   5.47382212626882E-48
 x5 :  7.35947105686015E-02  -1.91583774419409E-47
 x6 : -1.57039148497993E-34   1.09476442525376E-47
 x7 :  2.54254875371013E-01   8.21073318940323E-48
== err :  3.368E-17 = rco :  3.379E-02 = res :  9.021E-17 = real regular ==
solution 9 :         start residual :  3.443E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.83941604980343E-01  -9.28863069531284E-02
 x2 :  3.54859598434050E-02   4.46404653444325E-03
 x3 : -2.57130521016197E-01   3.36186511653189E-02
 x4 :  4.91003115883692E-02   5.34195784623989E-03
 x5 :  2.25451034325336E-01   1.11221240977949E-01
 x6 :  2.89580792948115E-02  -9.94792180850744E-03
 x7 :  1.76164333474103E-01  -9.82548212388789E-02
== err :  7.748E-16 = rco :  2.347E-02 = res :  3.443E-16 = complex regular ==
solution 10 :         start residual :  2.420E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.58665867463987E-01  -1.42005226793651E-02
 x2 : -1.19742595042408E-01  -2.52319230597764E-02
 x3 :  6.70293097858940E-02   1.20663373204328E-01
 x4 :  1.79635178721798E-01  -1.44542388222049E-01
 x5 : -2.25105539529797E-01   4.12884054927805E-02
 x6 :  2.75928066893654E-01   1.57989902038802E-01
 x7 :  1.42922645438865E-01  -1.43067108114402E-01
== err :  1.143E-15 = rco :  2.408E-02 = res :  2.420E-16 = complex regular ==
solution 11 :         start residual :  1.934E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.74878820052286E-01   6.58710170200388E-02
 x2 : -2.32901947306664E-01  -3.21835830109637E-02
 x3 :  1.79938017145815E-01  -4.66109081214509E-02
 x4 :  5.50268497637346E-02   7.27498568473498E-02
 x5 : -9.34045956792821E-02  -6.92570962373710E-03
 x6 :  1.74282414425546E-01  -1.22696604148736E-01
 x7 :  1.79619851624707E-01   1.02731439547519E-01
== err :  1.300E-15 = rco :  2.572E-02 = res :  1.934E-16 = complex regular ==
solution 12 :         start residual :  6.245E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  2.98413751402573E-01   0.00000000000000E+00
 x2 :  3.53089765202961E-02   2.00457353256915E-51
 x3 : -3.62459344436227E-02  -1.33638235504610E-51
 x4 :  3.75080665225369E-02  -2.00457353256915E-51
 x5 : -3.91158434600735E-02  -1.33638235504610E-51
 x6 :  4.10955638695253E-02   3.17390809323448E-51
 x7 :  3.12242295290051E-01  -3.34095588761524E-52
== err :  8.369E-17 = rco :  3.108E-02 = res :  6.245E-17 = real regular ==
solution 13 :         start residual :  2.858E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.19200480686798E-01   8.85748041455231E-02
 x2 :  6.08126720971350E-33  -1.27998169267818E-32
 x3 : -2.15259260093658E-01  -3.84326760753414E-02
 x4 :  1.12359980171654E-32  -3.51717313720835E-33
 x5 :  2.64467092877992E-01  -1.09231447912142E-01
 x6 :  9.36633898735199E-35   3.42045346202269E-33
 x7 :  1.91191926872267E-01   1.03376721914722E-01
== err :  2.408E-16 = rco :  2.627E-02 = res :  2.858E-16 = complex regular ==
solution 14 :         start residual :  3.224E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.28028574584156E-01  -9.75153553482488E-03
 x2 : -8.42139372075785E-02  -2.71342588758304E-02
 x3 :  2.91460526542948E-02   1.03400732048187E-01
 x4 :  9.23641362299237E-02  -1.45347351653549E-01
 x5 : -2.45782740436617E-01   7.36461025387868E-02
 x6 :  3.27547606731036E-01   1.60775619131982E-01
 x7 :  1.66924594736863E-01  -1.60465075422164E-01
== err :  6.373E-16 = rco :  1.754E-02 = res :  3.224E-16 = complex regular ==
solution 15 :         start residual :  6.709E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.39926398416746E-01   3.10992100353991E-02
 x2 : -8.85667884139705E-02  -7.50934336775860E-02
 x3 : -1.81212112932734E-02  -4.71644437378771E-02
 x4 : -2.26536113249151E-01   1.77325087218431E-01
 x5 :  2.65062928091932E-01   1.50800353947399E-01
 x6 :  3.06736748259058E-01  -3.11409432832887E-02
 x7 : -8.53876260296851E-03  -1.90276225484778E-01
== err :  1.702E-15 = rco :  2.408E-02 = res :  6.709E-16 = complex regular ==
solution 16 :         start residual :  4.892E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.72527128950236E-01   5.60519385729927E-45
 x2 :  1.94247706870433E-01  -2.80259692864963E-45
 x3 :  2.07094473151946E-01   2.80259692864963E-45
 x4 : -1.14107995436260E-01  -1.12103877145985E-44
 x5 : -1.68554005122147E-02   5.60519385729927E-45
 x6 : -1.27166902294507E-01   2.80259692864963E-45
 x7 :  1.20524553745484E-01   0.00000000000000E+00
== err :  1.561E-16 = rco :  1.486E-01 = res :  4.892E-16 = real regular ==
solution 17 :         start residual :  3.309E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.41532640974698E-01   6.91018201748074E-03
 x2 :  5.15026332957929E-02  -1.60756438793994E-02
 x3 :  2.51882454096556E-02   4.99920430667142E-02
 x4 :  1.94746033416293E-01   1.08989205765160E-01
 x5 :  2.66094504806808E-01  -1.75284296023006E-01
 x6 : -2.86355394411071E-01  -9.63524718190307E-02
 x7 : -2.19423430048271E-02   1.25276071880822E-01
== err :  1.096E-15 = rco :  2.066E-02 = res :  3.309E-16 = complex regular ==
solution 18 :         start residual :  9.368E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  2.62214183685445E-01  -6.27781712017518E-43
 x2 : -3.56142548244936E-02   4.93257059442336E-43
 x3 :  3.53792502446721E-02  -3.13890856008759E-43
 x4 :  7.48378665552503E-02   4.48415508583941E-43
 x5 :  4.07189036741165E-02  -3.13890856008759E-43
 x6 : -3.87453756139775E-02   4.48415508583941E-43
 x7 :  2.92316518121709E-01  -3.58732406867153E-43
== err :  1.845E-16 = rco :  3.036E-02 = res :  9.368E-17 = real regular ==
solution 19 :         start residual :  3.365E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.49813836123930E-01   2.66581361970250E-02
 x2 : -1.23507959378213E-01  -6.63555218895081E-03
 x3 :  1.27742188478130E-01  -4.23583253738126E-02
 x4 :  2.20912014685797E-01  -1.03656810628103E-02
 x5 :  8.38970879862679E-02   5.15089712510498E-02
 x6 : -1.03757722647739E-01   5.13157797761185E-02
 x7 : -8.01925271862070E-02  -5.67942605001072E-02
== err :  6.292E-16 = rco :  3.283E-02 = res :  3.365E-16 = complex regular ==
solution 20 :         start residual :  2.168E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.74878820052286E-01  -6.58710170200388E-02
 x2 : -2.32901947306664E-01   3.21835830109637E-02
 x3 :  1.79938017145815E-01   4.66109081214509E-02
 x4 :  5.50268497637348E-02  -7.27498568473496E-02
 x5 : -9.34045956792820E-02   6.92570962373711E-03
 x6 :  1.74282414425546E-01   1.22696604148736E-01
 x7 :  1.79619851624707E-01  -1.02731439547519E-01
== err :  1.273E-15 = rco :  2.572E-02 = res :  2.168E-16 = complex regular ==
solution 21 :         start residual :  8.557E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.06160659635537E-01   5.52367284473179E-02
 x2 : -5.84997006533656E-02  -1.19917833602082E-03
 x3 : -2.54202930443779E-02   1.16448702906440E-01
 x4 : -3.15035711260522E-01  -1.92057970075296E-01
 x5 :  3.90465406232073E-01  -3.39741730110315E-01
 x6 :  3.36180967317603E-01   2.54913165421025E-01
 x7 : -8.07709984091789E-02   1.34018645970508E-01
== err :  1.413E-15 = rco :  1.198E-02 = res :  8.557E-16 = complex regular ==
solution 22 :         start residual :  3.322E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.58665867463987E-01   1.42005226793651E-02
 x2 : -1.19742595042408E-01   2.52319230597764E-02
 x3 :  6.70293097858940E-02  -1.20663373204328E-01
 x4 :  1.79635178721798E-01   1.44542388222049E-01
 x5 : -2.25105539529797E-01  -4.12884054927805E-02
 x6 :  2.75928066893654E-01  -1.57989902038802E-01
 x7 :  1.42922645438865E-01   1.43067108114402E-01
== err :  7.305E-16 = rco :  2.408E-02 = res :  3.322E-16 = complex regular ==
solution 23 :         start residual :  3.617E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.49813836123930E-01  -2.66581361970250E-02
 x2 : -1.23507959378213E-01   6.63555218895080E-03
 x3 :  1.27742188478130E-01   4.23583253738126E-02
 x4 :  2.20912014685797E-01   1.03656810628103E-02
 x5 :  8.38970879862678E-02  -5.15089712510498E-02
 x6 : -1.03757722647739E-01  -5.13157797761185E-02
 x7 : -8.01925271862070E-02   5.67942605001072E-02
== err :  6.020E-16 = rco :  3.283E-02 = res :  3.617E-16 = complex regular ==
solution 24 :         start residual :  2.073E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.39926398416746E-01  -3.10992100353991E-02
 x2 : -8.85667884139706E-02   7.50934336775861E-02
 x3 : -1.81212112932735E-02   4.71644437378772E-02
 x4 : -2.26536113249151E-01  -1.77325087218431E-01
 x5 :  2.65062928091932E-01  -1.50800353947400E-01
 x6 :  3.06736748259058E-01   3.11409432832887E-02
 x7 : -8.53876260296856E-03   1.90276225484778E-01
== err :  1.063E-15 = rco :  2.408E-02 = res :  2.073E-16 = complex regular ==
solution 25 :         start residual :  1.292E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.21449559442509E-01   1.09476442525376E-47
 x2 :  1.88297666508481E-02  -9.57918872097043E-48
 x3 :  3.02030357082695E-01   2.39479718024261E-48
 x4 : -9.07766036413447E-03   4.78959436048521E-48
 x5 :  1.25724576272504E-01  -8.89496095518683E-48
 x6 : -3.25069665320550E-02   1.23160997841048E-47
 x7 : -1.15724852831113E-01  -6.84227765783602E-48
== err :  1.179E-16 = rco :  1.557E-02 = res :  1.292E-16 = real regular ==
solution 26 :         start residual :  4.285E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.37583273251783E-01  -1.88288771561090E-02
 x2 :  1.67316057300656E-02   6.72171309980952E-02
 x3 : -1.18979739806085E-01   4.64933984256099E-02
 x4 : -1.39698626159456E-01  -1.32264034619092E-01
 x5 :  1.33972060420477E-01  -2.55643426414791E-01
 x6 :  4.54154620732779E-01   7.32348900234501E-02
 x7 : -6.49715575436721E-02   2.10376480164783E-01
== err :  5.067E-16 = rco :  1.715E-02 = res :  4.285E-16 = complex regular ==
solution 27 :         start residual :  4.581E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.75555586943193E-01  -1.65947949555277E-02
 x2 :  1.20363973017576E-01   2.77413619218485E-02
 x3 : -4.72894192398377E-02  -6.95238084287862E-02
 x4 :  2.97336436463863E-01  -8.65685521714595E-02
 x5 :  1.53738099248077E-01   1.87801443873331E-01
 x6 : -2.38985477490277E-01   5.15422662715323E-02
 x7 : -2.29414054709990E-02  -1.02695313988702E-01
== err :  1.198E-15 = rco :  2.634E-02 = res :  4.581E-16 = complex regular ==
solution 28 :         start residual :  1.012E-15
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.06160659635537E-01  -5.52367284473180E-02
 x2 : -5.84997006533656E-02   1.19917833602085E-03
 x3 : -2.54202930443780E-02  -1.16448702906440E-01
 x4 : -3.15035711260522E-01   1.92057970075297E-01
 x5 :  3.90465406232074E-01   3.39741730110314E-01
 x6 :  3.36180967317603E-01  -2.54913165421026E-01
 x7 : -8.07709984091791E-02  -1.34018645970508E-01
== err :  9.258E-16 = rco :  1.198E-02 = res :  1.012E-15 = complex regular ==
solution 29 :         start residual :  8.327E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.66075180635378E-01  -1.60365882605532E-50
 x2 : -1.77468856489662E-32   1.06910588403688E-50
 x3 :  1.49193560290500E-01  -1.33638235504610E-50
 x4 : -3.86769735946176E-33  -3.74187059412907E-50
 x5 :  2.55539571653856E-01   2.67276471009220E-50
 x6 :  4.68260843140866E-32   1.06910588403688E-50
 x7 : -1.87770722262045E-01   1.60365882605532E-50
== err :  2.342E-16 = rco :  1.242E-02 = res :  8.327E-17 = real regular ==
solution 30 :         start residual :  3.851E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.28028574584156E-01   9.75153553482483E-03
 x2 : -8.42139372075784E-02   2.71342588758303E-02
 x3 :  2.91460526542949E-02  -1.03400732048187E-01
 x4 :  9.23641362299235E-02   1.45347351653549E-01
 x5 : -2.45782740436617E-01  -7.36461025387868E-02
 x6 :  3.27547606731036E-01  -1.60775619131982E-01
 x7 :  1.66924594736863E-01   1.60465075422163E-01
== err :  5.897E-16 = rco :  1.754E-02 = res :  3.851E-16 = complex regular ==
solution 31 :         start residual :  1.128E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.39381421886232E-01  -1.97483050938144E-36
 x2 :  7.01023867315031E-03   1.98658545288967E-36
 x3 :  2.38196983783408E-01   1.49287782554431E-36
 x4 : -1.72266651492685E-02  -5.07813559555228E-36
 x5 : -1.85323258441162E-01  -4.39341013619830E-37
 x6 :  2.06051306144814E-02   5.97151130217722E-36
 x7 :  6.70468595762741E-02  -2.98575565108861E-36
== err :  9.777E-16 = rco :  7.919E-03 = res :  1.128E-16 = real regular ==
solution 32 :         start residual :  1.041E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  2.62858009360526E-01  -6.84227765783602E-49
 x2 :  3.59434216791030E-02  -1.71056941445901E-48
 x3 :  3.57054879575066E-02   3.42113882891801E-49
 x4 : -7.55774554226657E-02   1.28292706084425E-48
 x5 :  4.11604345023410E-02   1.02634164867540E-48
 x6 :  3.91466467066855E-02  -1.36845553156720E-48
 x7 :  2.92192459896767E-01   5.13170824337702E-49
== err :  2.205E-16 = rco :  3.453E-02 = res :  1.041E-16 = real regular ==
solution 33 :         start residual :  4.108E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.75555586943193E-01   1.65947949555277E-02
 x2 :  1.20363973017576E-01  -2.77413619218484E-02
 x3 : -4.72894192398377E-02   6.95238084287862E-02
 x4 :  2.97336436463863E-01   8.65685521714595E-02
 x5 :  1.53738099248077E-01  -1.87801443873331E-01
 x6 : -2.38985477490276E-01  -5.15422662715322E-02
 x7 : -2.29414054709990E-02   1.02695313988702E-01
== err :  1.235E-15 = rco :  2.634E-02 = res :  4.108E-16 = complex regular ==
solution 34 :         start residual :  4.961E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.83437928085824E-01  -6.37924269821033E-02
 x2 : -2.21787882660417E-01  -2.98143308697907E-02
 x3 : -1.12765216678369E-01   2.83233933470250E-02
 x4 :  2.25384011159798E-02   7.60425589068751E-02
 x5 :  1.38032240618441E-01   8.02781378659620E-02
 x6 :  1.93972798585749E-01   3.48315567658782E-02
 x7 :  8.82906949757046E-02  -1.57765102524898E-01
== err :  1.600E-15 = rco :  3.356E-02 = res :  4.961E-16 = complex regular ==
solution 35 :         start residual :  3.825E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.40991155708102E-01   6.16984256578735E-02
 x2 : -1.96405817626844E-01  -3.05407917117737E-02
 x3 :  1.40758610954513E-01  -3.46536245636146E-02
 x4 : -2.63563258090881E-02   7.33820402376899E-02
 x5 : -1.14492445252435E-01  -2.85284683847486E-02
 x6 :  2.19189320570021E-01  -1.24743418292973E-01
 x7 :  2.06811079309782E-01   1.14235049886484E-01
== err :  7.802E-16 = rco :  2.573E-02 = res :  3.825E-16 = complex regular ==
solution 36 :         start residual :  5.551E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  2.26540919660986E-01   8.35238971903811E-53
 x2 : -3.19171577912012E-33   4.17619485951906E-53
 x3 : -1.64577261293182E-33  -4.17619485951906E-53
 x4 :  1.13270459830493E-01  -1.25285845785572E-52
 x5 :  1.99934863294546E-33  -8.35238971903811E-53
 x6 : -1.30925123371103E-32   9.82823843292238E-53
 x7 :  2.73459080339014E-01   6.78631664671847E-53
== err :  1.238E-16 = rco :  3.997E-02 = res :  5.551E-17 = real regular ==
solution 37 :         start residual :  1.110E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.30601937481871E-01   8.85676313561904E-51
 x2 : -7.17129606158344E-33   1.69537361129280E-50
 x3 : -4.45510948702499E-33  -6.41463530422127E-50
 x4 :  3.15300968740935E-01   6.41463530422127E-50
 x5 :  2.79259841936149E-33   0.00000000000000E+00
 x6 :  5.15279359498886E-33  -2.13821176807376E-50
 x7 : -1.30601937481871E-01   0.00000000000000E+00
== err :  1.268E-16 = rco :  1.303E-02 = res :  1.110E-16 = real regular ==
solution 38 :         start residual :  1.943E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.48807788122073E-01  -5.73971850987445E-42
 x2 :  3.11249830978768E-01   0.00000000000000E+00
 x3 : -4.00858891189558E-02   8.60957776481168E-42
 x4 : -1.04740963685224E-01  -2.86985925493723E-42
 x5 :  4.37870797493518E-02   0.00000000000000E+00
 x6 :  8.61762102804340E-02   1.43492962746861E-42
 x7 : -7.07901622654109E-02  -5.02225369614014E-42
== err :  2.166E-16 = rco :  6.947E-02 = res :  1.943E-16 = real regular ==
solution 39 :         start residual :  1.665E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.75462064633508E-01   4.10536659470161E-48
 x2 :  1.74595819060110E-01  -1.36845553156720E-48
 x3 : -5.46930008637504E-02   6.84227765783602E-49
 x4 : -7.15588965366210E-02  -2.73691106313441E-48
 x5 :  1.47695744904079E-01   2.73691106313441E-48
 x6 : -1.49453530993639E-01  -2.05268329735081E-48
 x7 :  6.56828321130681E-02   6.84227765783602E-49
== err :  2.745E-16 = rco :  5.077E-02 = res :  1.665E-16 = real regular ==
solution 40 :         start residual :  2.325E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.58599900136431E-01   1.16776633136664E-02
 x2 : -9.67762308390070E-02   8.81510893275539E-02
 x3 : -2.37273487316886E-01  -7.85669652600077E-02
 x4 :  1.32992307626597E-01  -4.79347024977200E-02
 x5 :  2.92820265121435E-02  -1.17278493887065E-01
 x6 :  2.99389282499451E-01  -2.99713549294903E-02
 x7 :  4.30861514494857E-02   1.79761595589896E-01
== err :  3.093E-16 = rco :  3.060E-02 = res :  2.325E-16 = complex regular ==
solution 41 :         start residual :  1.026E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.27857552153239E-01   6.84373930463865E-03
 x2 :  1.15706782560097E-01  -8.55617183776920E-04
 x3 :  1.28243131395810E-01   4.89671357498226E-02
 x4 :  1.06261285303966E-01  -1.03151319588321E-01
 x5 : -3.03442048486519E-01   5.34708148902248E-03
 x6 :  8.69830939408442E-02   1.02251783006686E-01
 x7 :  5.23189792091822E-02  -5.59809331257525E-02
== err :  4.755E-16 = rco :  3.524E-02 = res :  1.026E-16 = complex regular ==
solution 42 :         start residual :  6.354E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.44966879046422E-01  -1.00391132802370E-03
 x2 :  9.84020486748802E-02   5.00660187389390E-02
 x3 : -1.75040443482810E-01   6.95620301755325E-02
 x4 : -1.45416823071929E-01  -1.72992130114783E-01
 x5 :  2.30968475778112E-01  -2.51319125520687E-01
 x6 :  3.77458694558609E-01   1.32987619634423E-01
 x7 : -5.88553919800738E-02   1.72197542750588E-01
== err :  6.165E-16 = rco :  1.511E-02 = res :  6.354E-16 = complex regular ==
solution 43 :         start residual :  3.699E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.27857552153240E-01  -6.84373930463865E-03
 x2 :  1.15706782560097E-01   8.55617183776917E-04
 x3 :  1.28243131395810E-01  -4.89671357498226E-02
 x4 :  1.06261285303966E-01   1.03151319588321E-01
 x5 : -3.03442048486519E-01  -5.34708148902246E-03
 x6 :  8.69830939408442E-02  -1.02251783006687E-01
 x7 :  5.23189792091821E-02   5.59809331257525E-02
== err :  1.018E-15 = rco :  3.524E-02 = res :  3.699E-16 = complex regular ==
solution 44 :         start residual :  9.541E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  2.23721326838108E-01   0.00000000000000E+00
 x2 :  7.57724899149245E-02   2.35098870164458E-38
 x3 : -4.37364167939283E-03  -1.17549435082229E-38
 x4 : -3.79348097429897E-02  -1.14335192716699E-38
 x5 :  6.39868947098905E-03  -1.54283633545425E-38
 x6 :  7.68085623582163E-02   4.11423022787801E-38
 x7 :  2.71468046259198E-01  -2.35098870164458E-38
== err :  1.028E-16 = rco :  3.065E-02 = res :  9.541E-17 = real regular ==
solution 45 :         start residual :  2.151E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.39280229920630E-01   0.00000000000000E+00
 x2 :  1.94464151223012E-01   1.88594575425495E-54
 x3 :  3.94866984761957E-02  -4.17619485951906E-53
 x4 :  1.42593635022612E-01   6.26429228927858E-53
 x5 : -1.46165277374561E-01  -2.08809742975953E-53
 x6 : -1.46903828933918E-01  -5.22024357439882E-54
 x7 :  1.46884506626343E-01  -2.08809742975953E-53
== err :  2.260E-16 = rco :  6.680E-02 = res :  2.151E-16 = real regular ==
solution 46 :         start residual :  3.062E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.37583273251783E-01   1.88288771561090E-02
 x2 :  1.67316057300656E-02  -6.72171309980952E-02
 x3 : -1.18979739806085E-01  -4.64933984256099E-02
 x4 : -1.39698626159456E-01   1.32264034619092E-01
 x5 :  1.33972060420477E-01   2.55643426414791E-01
 x6 :  4.54154620732779E-01  -7.32348900234501E-02
 x7 : -6.49715575436721E-02  -2.10376480164783E-01
== err :  1.557E-15 = rco :  1.715E-02 = res :  3.062E-16 = complex regular ==
solution 47 :         start residual :  3.609E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.44966879046422E-01   1.00391132802368E-03
 x2 :  9.84020486748802E-02  -5.00660187389390E-02
 x3 : -1.75040443482810E-01  -6.95620301755325E-02
 x4 : -1.45416823071929E-01   1.72992130114783E-01
 x5 :  2.30968475778112E-01   2.51319125520687E-01
 x6 :  3.77458694558609E-01  -1.32987619634423E-01
 x7 : -5.88553919800738E-02  -1.72197542750588E-01
== err :  1.486E-15 = rco :  1.511E-02 = res :  3.609E-16 = complex regular ==
solution 48 :         start residual :  5.551E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.87429850404597E-01   0.00000000000000E+00
 x2 :  1.70602367723964E-01   5.34552942018439E-51
 x3 :  5.90128819217253E-02  -3.67505147637677E-51
 x4 : -7.95907713952250E-02  -6.68191177523049E-51
 x5 : -9.80895263599169E-02   1.13592500178918E-50
 x6 :  2.15647715641909E-01   3.17390809323448E-51
 x7 : -1.11297592734755E-01  -9.35467648532268E-51
== err :  5.099E-16 = rco :  6.038E-02 = res :  5.551E-16 = real regular ==
solution 49 :         start residual :  2.012E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.01474416234705E-01   2.80259692864963E-45
 x2 :  1.25721964860666E-01  -1.40129846432482E-45
 x3 :  1.11589385224370E-01  -5.60519385729927E-45
 x4 :  6.30883456354056E-02  -1.40129846432482E-45
 x5 : -4.30896052861172E-02  -2.80259692864963E-45
 x6 : -2.34050074656122E-01   5.60519385729927E-45
 x7 :  1.76002776104445E-01   4.20389539297445E-45
== err :  6.749E-16 = rco :  1.407E-01 = res :  2.012E-16 = real regular ==
solution 50 :         start residual :  2.359E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.01620565746535E-01  -6.13068078142107E-46
 x2 :  1.50345247981798E-02   1.31371731030452E-46
 x3 :  1.46486334333730E-02   3.50324616081204E-46
 x4 :  3.28209974428742E-01   1.31371731030452E-46
 x5 : -3.11156793028641E-02  -3.50324616081204E-46
 x6 : -2.79698337244997E-02  -5.25486924121806E-46
 x7 : -9.96179025061984E-02   5.25486924121806E-46
== err :  1.593E-16 = rco :  1.282E-02 = res :  2.359E-16 = real regular ==
solution 51 :         start residual :  1.665E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.51400912037419E-01   1.76324152623343E-38
 x2 :  1.48699528936973E-02  -2.20405190779179E-38
 x3 :  1.39910482656432E-01   1.61630473238065E-38
 x4 :  3.67318393758242E-03  -2.93873587705572E-39
 x5 :  2.73022564617198E-01  -2.05711511393900E-38
 x6 : -4.08706140777872E-02   4.70197740328915E-38
 x7 : -1.66306026045833E-01  -2.64486228935015E-38
== err :  2.664E-16 = rco :  1.016E-02 = res :  1.665E-16 = real regular ==
solution 52 :         start residual :  2.220E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.61045778137397E-01   1.46936793852786E-39
 x2 :  9.98335031682258E-02   2.57139389242375E-39
 x3 :  1.40079454898786E-01  -2.57139389242375E-39
 x4 : -1.95035440421680E-01  -6.42848473105938E-40
 x5 :  3.44828452239119E-02   5.87747175411144E-39
 x6 :  1.23271751182412E-01  -4.40810381558358E-39
 x7 : -8.31550031203532E-02  -1.65303893084384E-39
== err :  3.142E-16 = rco :  4.475E-02 = res :  2.220E-16 = real regular ==
solution 53 :         start residual :  3.665E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.41532640974698E-01  -6.91018201748076E-03
 x2 :  5.15026332957930E-02   1.60756438793994E-02
 x3 :  2.51882454096556E-02  -4.99920430667142E-02
 x4 :  1.94746033416293E-01  -1.08989205765160E-01
 x5 :  2.66094504806808E-01   1.75284296023006E-01
 x6 : -2.86355394411071E-01   9.63524718190306E-02
 x7 : -2.19423430048271E-02  -1.25276071880822E-01
== err :  1.062E-15 = rco :  2.066E-02 = res :  3.665E-16 = complex regular ==
solution 54 :         start residual :  2.394E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.19473650572070E-01  -1.09476442525376E-47
 x2 :  1.56306500494082E-01   2.73691106313441E-48
 x3 :  8.63613255819694E-02  -1.09476442525376E-47
 x4 : -2.14831643048228E-01   4.78959436048521E-48
 x5 :  1.43156226078311E-01   1.91583774419409E-47
 x6 :  1.55155937516467E-02  -2.18952885050753E-47
 x7 : -4.62448281438156E-02   1.23160997841048E-47
== err :  1.409E-16 = rco :  4.556E-02 = res :  2.394E-16 = real regular ==
solution 55 :         start residual :  8.327E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  4.40007483491577E-01   2.57139389242375E-39
 x2 : -1.84450368603423E-32  -2.38772290010777E-39
 x3 :  3.07159047992357E-01   7.11725095224432E-40
 x4 :  1.82857358977793E-32   1.42345019044886E-39
 x5 :  1.05760256796939E-01  -2.93873587705572E-39
 x6 :  1.70404622278290E-32   4.31626831942559E-39
 x7 : -1.32923046535084E-01  -2.38772290010777E-39
== err :  3.761E-16 = rco :  1.597E-02 = res :  8.327E-17 = real regular ==
solution 56 :         start residual :  2.637E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.86628569893246E-01   8.35238971903811E-53
 x2 :  5.52565096778499E-02  -5.74226793183870E-53
 x3 :  2.13905256380728E-01   4.32076723811840E-53
 x4 :  1.26057204548293E-01  -2.08809742975953E-53
 x5 : -3.01291522914158E-02  -1.25285845785572E-52
 x6 :  1.30893255254326E-01   3.50538572345829E-53
 x7 : -1.89297358516403E-01   7.30834100415835E-53
== err :  3.218E-16 = rco :  8.285E-02 = res :  2.637E-16 = real regular ==
solution 57 :         start residual :  2.776E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  8.69997499315725E-01  -3.67341984631965E-40
 x2 :  1.26370194909202E-01   1.83670992315982E-40
 x3 : -1.17530287253629E-01  -9.18354961579912E-41
 x4 :  1.05851954359062E-01   2.29588740394978E-41
 x5 : -9.20246664219563E-02  -9.18354961579912E-41
 x6 :  7.68395928772931E-02   9.18354961579912E-41
 x7 : -3.45055381278341E-02  -8.03560591382423E-41
== err :  1.691E-16 = rco :  1.181E-01 = res :  2.776E-16 = real regular ==
solution 58 :         start residual :  4.007E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  2.36921555823867E-01   1.10202595389589E-39
 x2 :  1.92515235633351E-01  -5.51012976947947E-40
 x3 :  1.54291135784534E-01  -9.18354961579912E-41
 x4 :  1.03981518163767E-01   9.18354961579912E-41
 x5 :  5.14268050074160E-02   1.37753244236987E-40
 x6 :  5.95267914910185E-03   4.24739169730709E-40
 x7 : -1.26628151650104E-01  -3.67341984631965E-40
== err :  1.967E-16 = rco :  6.920E-02 = res :  4.007E-16 = real regular ==
solution 59 :         start residual :  1.110E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  1.00000000000000E+00  -9.18354961579912E-41
 x2 :  0.00000000000000E+00  -1.37753244236987E-40
 x3 :  6.88766221184934E-41  -4.59177480789956E-41
 x4 : -9.18354961579912E-41   0.00000000000000E+00
 x5 : -4.59177480789956E-41   4.59177480789956E-41
 x6 :  0.00000000000000E+00   9.18354961579912E-41
 x7 :  4.10817859355124E-17   6.88766221184934E-41
== err :  1.110E-16 = rco :  1.802E-01 = res :  1.110E-16 = real regular ==
solution 60 :         start residual :  1.665E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  5.09638316425425E-01   0.00000000000000E+00
 x2 :  5.86972120632232E-02  -4.69693952502514E-54
 x3 :  7.17715593551288E-02   3.91518268079911E-54
 x4 :  9.17094469509079E-02   1.41320174425898E-54
 x5 :  1.20637733677462E-01  -5.22024357439882E-54
 x6 :  1.61689735916720E-01  -1.30506089359970E-54
 x7 : -2.59324846176154E-01   5.22024357439882E-54
== err :  1.591E-16 = rco :  9.695E-02 = res :  1.665E-16 = real regular ==
solution 61 :         start residual :  3.053E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  7.10111772389072E-01   2.13821176807376E-50
 x2 :  2.50650945756492E-01  -5.34552942018439E-51
 x3 : -1.53226596569201E-01   3.20731765211063E-50
 x4 :  3.92718391215037E-02  -1.60365882605532E-50
 x5 :  5.23890151287970E-02  -2.13821176807376E-50
 x6 : -9.74400708058507E-02   2.13821176807376E-50
 x7 :  5.32989811737225E-02  -2.13821176807376E-50
== err :  2.359E-16 = rco :  9.646E-02 = res :  3.053E-16 = real regular ==
solution 62 :         start residual :  1.336E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  3.82774452187493E-01   6.88766221184934E-40
 x2 :  1.77838130163859E-01   2.29588740394978E-40
 x3 : -5.19723715859997E-03   1.60712118276485E-40
 x4 :  1.12501827077685E-01  -3.67341984631965E-40
 x5 :  1.97495557479887E-01  -9.18354961579912E-41
 x6 :  1.21640584002060E-02   0.00000000000000E+00
 x7 : -1.86189562056783E-01  -2.75506488473974E-40
== err :  1.204E-16 = rco :  5.292E-02 = res :  1.336E-16 = real regular ==
solution 63 :         start residual :  3.847E-16
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  6.58599900136431E-01  -1.16776633136664E-02
 x2 : -9.67762308390071E-02  -8.81510893275540E-02
 x3 : -2.37273487316886E-01   7.85669652600077E-02
 x4 :  1.32992307626597E-01   4.79347024977200E-02
 x5 :  2.92820265121435E-02   1.17278493887065E-01
 x6 :  2.99389282499451E-01   2.99713549294903E-02
 x7 :  4.30861514494857E-02  -1.79761595589896E-01
== err :  6.793E-16 = rco :  3.060E-02 = res :  3.847E-16 = complex regular ==
solution 64 :         start residual :  4.163E-17
t :  1.00000000000000E+00   0.00000000000000E+00
m : 1
the solution for t :
 x1 :  1.47534471002104E-01  -1.12103877145985E-44
 x2 :  4.02309672771338E-02   5.60519385729927E-45
 x3 :  3.94134581476025E-02   2.10194769648723E-45
 x4 :  3.83292832225648E-02   3.15292154473084E-45
 x5 :  3.69942064917951E-02   2.80259692864963E-45
 x6 :  3.54274859107078E-02   2.80259692864963E-45
 x7 :  2.35837363449144E-01  -1.19110369467609E-44
== err :  3.960E-17 = rco :  7.449E-02 = res :  4.163E-17 = real regular ==