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 ==