8 8*x1^2+ 8*x1*x2+ 8*x1*x3+ 2*x1*x4+ 2*x1*x5+ 2*x1*x6+ 2*x1*x7-8*x2*x3-2*x4*x7 -2*x5*x6-x1; 8*x1*x2-8*x1*x3+ 8*x2^2+ 8*x2*x3+ 2*x2*x4+ 2*x2*x5+ 2*x2*x6+ 2*x2*x7-2*x4*x6 -2*x5*x7-x2; -8*x1*x2+ 8*x1*x3+ 8*x2*x3+ 8*x3^2+ 2*x3*x4+ 2*x3*x5+ 2*x3*x6+ 2*x3*x7-2*x4* x5-2*x6*x7-x3; 2*x1*x4-2*x1*x7+ 2*x2*x4-2*x2*x6+ 2*x3*x4-2*x3*x5+ 8*x4^2+ 8*x4*x5+ 2*x4*x6+ 2*x4*x7+ 6*x4*x8-6*x5*x8-x4; 2*x1*x5-2*x1*x6+ 2*x2*x5-2*x2*x7-2*x3*x4+ 2*x3*x5+ 8*x4*x5-6*x4*x8+ 8*x5^2+ 2*x5*x6+ 2*x5*x7+ 6*x5*x8-x5; -2*x1*x5+ 2*x1*x6-2*x2*x4+ 2*x2*x6+ 2*x3*x6-2*x3*x7+ 2*x4*x6+ 2*x5*x6+ 8*x6^2 + 8*x6*x7+ 6*x6*x8-6*x7*x8-x6; -2*x1*x4+ 2*x1*x7-2*x2*x5+ 2*x2*x7-2*x3*x6+ 2*x3*x7+ 2*x4*x7+ 2*x5*x7+ 8*x6* x7-6*x6*x8+ 8*x7^2+ 6*x7*x8-x7; -6*x4*x5+ 6*x4*x8+ 6*x5*x8-6*x6*x7+ 6*x6*x8+ 6*x7*x8+ 8*x8^2-x8; TITLE : the construction of Virasoro algebras ROOT COUNTS : total degree : 256 generalized Bezout number : 256 based on the set structure : {x1 x3 x6 x7 }{x1 x2 x3 x4 x5 x6 x7 } {x1 x2 x6 x7 }{x2 x3 x4 x5 x6 x7 } {x1 x3 x5 x7 }{x2 x3 x4 x5 x6 x7 } {x1 x2 x3 x4 x8 }{x4 x5 x6 x7 x8 } {x1 x2 x3 x5 x8 }{x4 x5 x6 x7 x8 } {x1 x2 x3 x6 x8 }{x4 x5 x6 x7 x8 } {x1 x2 x3 x7 x8 }{x4 x5 x6 x7 x8 } {x4 x6 x8 }{x5 x7 x8 } mixed volume : 200 REFERENCES : Schrans, S. and Troost, W.: `Generalized Virasoro Constructions for SU(3)', Nuclear Phys. B, Vol. 345, No. 2--3, 1990, pp. 584--606. SYMMETRY : x1 x2 x3 x4 x5 x6 x7 x8 x2 x1 x3 x4 x5 x7 x6 x8 x1 x2 x3 x5 x4 x7 x6 x8 x2 x1 x3 x5 x4 x6 x7 x8 x1 x2 x3 x6 x7 x4 x5 x8 x2 x1 x3 x6 x7 x5 x4 x8 x1 x2 x3 x7 x6 x5 x4 x8 x2 x1 x3 x7 x6 x4 x5 x8 SYMMETRIC SET STRUCTURE : { x1 x2 x4 x5 x6 x7 } { x1 x3 x4 x5 x6 x7 } { x2 x1 x4 x5 x6 x7 } { x2 x3 x4 x5 x6 x7 } { x3 x1 x2 x4 x5 x6 x7 } { x3 x1 x2 x4 x5 x6 x7 } { x4 x1 x2 x3 x8 } { x4 x5 x6 x7 } { x5 x1 x2 x3 x8 } { x5 x4 x7 x6 } { x6 x1 x2 x3 x8 } { x6 x7 x4 x5 } { x7 x1 x2 x3 x8 } { x7 x6 x5 x4 } { x8 x4 x5 x6 x7 } { x8 x4 x5 x6 x7 } ------------------------------------------------ | orbit information of list of solutions | ------------------------------------------------ | TYPE | NB <> | NB GEN | NB SOLS | ------------------------------------------------ | 1 2 3 4 5 6 6 7 | 7 | 4 | 32 | | 1 2 3 4 4 4 5 6 | 6 | 4 | 32 | | 1 2 3 4 4 4 4 5 | 5 | 8 | 16 | | 1 1 2 3 4 5 5 6 | 6 | 20 | 80 | | 1 1 2 3 3 4 4 5 | 5 | 16 | 48 | | 1 1 2 3 3 3 4 5 | 5 | 8 | 32 | | 1 1 2 3 3 3 3 4 | 4 | 16 | 16 | ------------------------------------------------ | Total number of generating solutions : 76 | | Total number of solutions generated : 256 | ------------------------------------------------ THE GENERATING SOLUTIONS : 76 8 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -1.25000000000000E-02 0.00000000000000E+00 x2 : -1.25000000000000E-02 0.00000000000000E+00 x3 : 1.12500000000000E-01 0.00000000000000E+00 x4 : 5.00000000000000E-02 -2.20561949492296E-55 x5 : 5.00000000000000E-02 -5.65137976246300E-55 x6 : 5.00000000000000E-02 0.00000000000000E+00 x7 : 5.00000000000000E-02 0.00000000000000E+00 x8 : 5.00000000000000E-02 1.56607307231965E-53 == err : 7.589E-18 = rco : 2.635E-01 = res : 7.980E-18 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 5.00000000000000E-02 -1.42433516186397E-65 x2 : 5.00000000000000E-02 4.74778387287990E-66 x3 : 5.00000000000000E-02 -4.74778387287990E-66 x4 : 5.00000000000000E-02 -1.66172435550796E-65 x5 : 5.00000000000000E-02 7.59645419660784E-65 x6 : 5.00000000000000E-02 -1.51929083932157E-64 x7 : 5.00000000000000E-02 1.13946812949118E-64 x8 : -7.50000000000000E-02 0.00000000000000E+00 == err : 2.689E-17 = rco : 3.082E-01 = res : 1.388E-17 == solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 -1.11516433779272E-57 x2 : 5.00000000000000E-02 6.37236764452981E-58 x3 : -5.09615384615385E-02 3.18618382226490E-57 x4 : 5.00000000000000E-02 1.99136488891557E-58 x5 : 5.00000000000000E-02 3.61287334976893E-58 x6 : -4.40261467514519E-02 -5.62330058276822E-57 x7 : 1.90261467514519E-02 5.25720330673709E-57 x8 : 8.36538461538462E-02 -1.43378272001921E-57 == err : 4.549E-17 = rco : 7.693E-02 = res : 6.939E-18 == solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -2.16840434497099E-19 1.63132611699963E-55 x2 : -2.16840434497098E-19 -1.63132611699963E-55 x3 : -7.21153846153846E-03 -7.56230941304486E-55 x4 : 6.25000000000000E-02 -2.07451226879080E-55 x5 : 6.25000000000000E-02 2.85482070474935E-55 x6 : -3.15261467514519E-02 5.87277402119867E-54 x7 : 3.15261467514519E-02 -6.03590663289864E-54 x8 : 6.49038461538462E-02 2.12072395209952E-54 == err : 4.949E-17 = rco : 8.817E-02 = res : 6.939E-18 == solution 5 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 9.41662253455395E-35 -6.68191177523049E-52 x2 : 8.68173107743309E-34 1.33638235504610E-51 x3 : 1.03211738679125E-01 -2.00457353256915E-50 x4 : -6.06555085024300E-35 0.00000000000000E+00 x5 : -3.56409887169318E-35 6.68191177523049E-52 x6 : 6.25000000000000E-02 3.34095588761525E-52 x7 : 6.25000000000000E-02 1.50499458581891E-52 x8 : 7.19617386791248E-02 2.54543299191604E-52 == err : 1.713E-16 = rco : 1.967E-01 = res : 3.469E-18 == solution 6 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 6.50395100180695E-33 -4.77927573339736E-58 x2 : 5.40595342749339E-32 5.57582168896358E-58 x3 : 1.03211738679125E-01 -6.96977711120448E-58 x4 : 6.25000000000000E-02 1.67274650668907E-57 x5 : 6.25000000000000E-02 -1.35412812446258E-57 x6 : -4.84003360681272E-33 -3.98272977783113E-59 x7 : -5.38632829755259E-33 -1.99136488891557E-59 x8 : -4.07117386791248E-02 -1.35128540351057E-58 == err : 1.685E-16 = rco : 4.551E-02 = res : 6.939E-18 == solution 7 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -2.50000000000000E-02 1.46166820083167E-52 x2 : 2.17186805708301E-18 -2.29690717273548E-52 x3 : 1.00000000000000E-01 7.30834100415835E-53 x4 : 1.00000000000000E-01 -1.50343014942686E-51 x5 : -2.22072606808498E-17 1.67047794380762E-51 x6 : 1.00000000000000E-01 1.33638235504610E-51 x7 : 1.74613567881738E-17 -1.50343014942686E-51 x8 : -2.50000000000000E-02 -1.67047794380762E-52 == err : 2.710E-17 = rco : 2.463E-02 = res : 1.128E-17 == solution 8 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -1.25000000000000E-02 -8.53150932668468E-51 x2 : 1.25000000000000E-02 1.00228676628457E-50 x3 : 1.12500000000000E-01 -2.30525956245452E-50 x4 : 5.00000000000000E-02 0.00000000000000E+00 x5 : -5.00000000000000E-02 6.41463530422127E-50 x6 : 5.00000000000000E-02 6.41463530422127E-50 x7 : -5.00000000000000E-02 -4.27642353614751E-50 x8 : 5.00000000000000E-02 1.10251544291303E-50 == err : 1.297E-17 = rco : 3.266E-02 = res : 1.388E-17 == solution 9 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -1.25000000000000E-02 3.49436893043961E-63 x2 : -1.25000000000000E-02 -1.06350358752510E-63 x3 : 1.02003143396115E-01 -1.62629691818402E-63 x4 : 1.19337524528154E-01 -6.68487969301490E-63 x5 : -1.93375245281536E-02 -9.03978049396333E-63 x6 : 5.00000000000000E-02 -2.37009370934165E-62 x7 : 5.00000000000000E-02 3.09935331221600E-62 x8 : -2.98343811320384E-02 8.28013507430255E-63 == err : 3.746E-16 = rco : 3.893E-02 = res : 2.667E-17 == solution 10 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -5.69879941673280E-52 -1.80411617931223E-50 x2 : 3.34095588761525E-52 1.80411617931223E-50 x3 : 1.14503143396115E-01 -6.68191177523049E-51 x4 : 6.93375245281537E-02 1.00228676628457E-51 x5 : -6.93375245281537E-02 -3.34095588761525E-52 x6 : -7.22742722875516E-51 7.55056030601045E-50 x7 : 7.22742722875516E-51 -7.48374118825815E-50 x8 : 4.51656188679616E-02 2.67276471009220E-51 == err : 2.057E-16 = rco : 3.826E-02 = res : 2.082E-17 == solution 11 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 5.00000000000000E-02 0.00000000000000E+00 x2 : 5.00000000000000E-02 0.00000000000000E+00 x3 : -7.50000000000000E-02 1.95759134039956E-54 x4 : 5.00000000000000E-02 -1.75367557577461E-54 x5 : 5.00000000000000E-02 -5.22024357439882E-54 x6 : 5.00000000000000E-02 -5.22024357439882E-54 x7 : 5.00000000000000E-02 2.61012178719941E-54 x8 : -7.50000000000000E-02 -2.61012178719941E-54 == err : 2.689E-17 = rco : 2.727E-01 = res : 2.082E-17 == solution 12 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 0.00000000000000E+00 8.79709548981352E-88 x2 : -6.28363963558107E-89 -8.79709548981352E-88 x3 : 1.25000000000000E-01 0.00000000000000E+00 x4 : 0.00000000000000E+00 0.00000000000000E+00 x5 : 0.00000000000000E+00 0.00000000000000E+00 x6 : 0.00000000000000E+00 0.00000000000000E+00 x7 : 0.00000000000000E+00 0.00000000000000E+00 x8 : 0.00000000000000E+00 0.00000000000000E+00 == err : 3.924E-44 = rco : 2.927E-01 = res : 8.820E-88 == solution 13 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -6.07230601530078E-79 0.00000000000000E+00 x2 : 3.37350334183377E-79 1.02608195375848E-116 x3 : 1.25000000000000E-01 8.15663058499816E-56 x4 : 2.49639247295699E-78 0.00000000000000E+00 x5 : 2.42892240612031E-78 0.00000000000000E+00 x6 : 1.95663193826359E-78 8.25326788892688E-117 x7 : -4.04820401020052E-79 0.00000000000000E+00 x8 : 1.25000000000000E-01 8.15663058499816E-56 == err : 4.592E-40 = rco : 3.889E-01 = res : 8.157E-56 == solution 14 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 5.00000000000000E-02 5.22024357439882E-54 x2 : 5.00000000000000E-02 6.52530446799853E-55 x3 : -7.50000000000000E-02 -3.26265223399926E-55 x4 : 5.00000000000000E-02 0.00000000000000E+00 x5 : 5.00000000000000E-02 -1.04404871487976E-53 x6 : 5.00000000000000E-02 0.00000000000000E+00 x7 : 5.00000000000000E-02 0.00000000000000E+00 x8 : 5.00000000000000E-02 3.91518268079911E-54 == err : 1.041E-17 = rco : 2.697E-01 = res : 9.714E-18 == solution 15 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 6.25000000000000E-02 3.98272977783113E-59 x2 : 6.25000000000000E-02 -9.95682444457783E-59 x3 : 5.20031433961152E-02 3.98272977783113E-59 x4 : 4.31676718270679E-19 7.56718657787915E-58 x5 : -4.84036244000490E-18 -7.16891360009604E-58 x6 : -6.93375245281536E-02 3.40032587733493E-59 x7 : 6.93375245281536E-02 -1.99136488891557E-59 x8 : 4.51656188679616E-02 1.65106184451162E-59 == err : 6.124E-17 = rco : 4.188E-02 = res : 3.469E-18 == solution 16 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 -2.13821176807376E-50 x2 : 5.00000000000000E-02 -3.20731765211064E-50 x3 : -4.37500000000000E-02 2.94004118110142E-50 x4 : -1.25000000000000E-02 4.00914706513829E-51 x5 : -1.25000000000000E-02 0.00000000000000E+00 x6 : -1.25000000000000E-02 8.01829413027659E-51 x7 : 1.12500000000000E-01 4.00914706513829E-51 x8 : 1.87500000000000E-02 -1.40377513982835E-50 == err : 1.691E-17 = rco : 1.953E-01 = res : 5.638E-18 == solution 17 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 1.80555932286300E-35 -2.67276471009220E-51 x2 : 1.80555932286300E-35 0.00000000000000E+00 x3 : -9.46173867912483E-03 2.67276471009220E-51 x4 : 6.25000000000000E-02 -2.67276471009220E-51 x5 : 6.25000000000000E-02 -2.67276471009220E-51 x6 : -2.69630192214213E-33 -4.16951294774383E-49 x7 : 2.58796836277035E-33 4.27642353614751E-49 x8 : 7.19617386791248E-02 7.90586005512443E-51 == err : 4.234E-17 = rco : 5.475E-02 = res : 3.469E-18 == solution 18 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 3.36917177326146E-67 -2.24611451550764E-68 x2 : 5.93472984109987E-67 1.48368246027497E-67 x3 : -9.46173867912483E-03 0.00000000000000E+00 x4 : 6.25000000000000E-02 9.50932750040110E-67 x5 : 6.25000000000000E-02 -5.93472984109987E-67 x6 : -2.37389193643995E-66 5.93472984109987E-67 x7 : 0.00000000000000E+00 -3.12614893756093E-67 x8 : -4.07117386791248E-02 -7.78934199156135E-67 == err : 3.318E-17 = rco : 2.431E-01 = res : 3.469E-18 == solution 19 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 3.75000000000000E-02 3.18618382226491E-58 x2 : -6.25000000000000E-02 -3.18618382226491E-58 x3 : 3.75000000000000E-02 1.59309191113245E-58 x4 : 1.00000000000000E-01 -1.11516433779272E-57 x5 : -4.98322386799634E-18 0.00000000000000E+00 x6 : 1.00000000000000E-01 6.37236764452981E-58 x7 : -3.92782743314660E-18 -1.59309191113245E-58 x8 : -2.50000000000000E-02 1.59309191113245E-58 == err : 2.194E-17 = rco : 8.968E-02 = res : 6.939E-18 == solution 20 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 1.25000000000000E-02 2.65875896881274E-64 x2 : -1.25000000000000E-02 -3.79822709830392E-64 x3 : 1.25000000000000E-02 5.31751793762549E-64 x4 : -5.00000000000000E-02 -2.43086534291451E-63 x5 : 5.00000000000000E-02 3.34243984650745E-63 x6 : -5.00000000000000E-02 1.82314900718588E-63 x7 : 5.00000000000000E-02 -2.43086534291451E-63 x8 : 7.50000000000000E-02 -6.07716335728627E-64 == err : 7.459E-18 = rco : 3.955E-02 = res : 8.240E-18 == solution 21 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 1.83830061809396E-53 x2 : 5.00000000000000E-02 1.69657916167962E-53 x3 : 5.72115384615385E-02 -1.09625115062375E-52 x4 : 8.15261467514519E-02 1.41990625223648E-51 x5 : 1.84738532485481E-02 -1.50343014942686E-51 x6 : -1.25000000000000E-02 4.40458051589900E-54 x7 : -1.25000000000000E-02 9.78795670199779E-54 x8 : -1.49038461538462E-02 4.59381434547096E-52 == err : 4.958E-17 = rco : 8.817E-02 = res : 1.214E-17 == solution 22 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -2.65875896881274E-64 1.89911354915196E-65 x2 : 2.65875896881274E-64 -1.89911354915196E-65 x3 : 1.04968566038848E-02 -1.36002805471735E-65 x4 : -6.93375245281536E-02 -2.08205196015392E-65 x5 : 6.93375245281536E-02 2.37389193643995E-65 x6 : 1.36736175538941E-63 -3.47679709332055E-65 x7 : -1.36736175538941E-63 5.69734064745588E-65 x8 : 7.98343811320384E-02 -5.69734064745588E-65 == err : 5.782E-17 = rco : 6.676E-02 = res : 3.036E-18 == solution 23 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 4.09091122108145E-92 -1.63636448843258E-91 x2 : 4.14536090644533E-75 2.21085915010418E-75 x3 : 4.09091122108145E-92 -1.63636448843258E-91 x4 : -1.09090965895505E-91 8.70040595733137E-55 x5 : 0.00000000000000E+00 -2.61012178719941E-54 x6 : -1.09090965895505E-91 8.70040595733137E-55 x7 : 0.00000000000000E+00 -2.61012178719941E-54 x8 : 1.25000000000000E-01 1.30506089359970E-54 == err : 4.847E-38 = rco : 3.199E-01 = res : 1.740E-54 == solution 24 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 0.00000000000000E+00 0.00000000000000E+00 x2 : 0.00000000000000E+00 0.00000000000000E+00 x3 : 0.00000000000000E+00 0.00000000000000E+00 x4 : 0.00000000000000E+00 0.00000000000000E+00 x5 : 0.00000000000000E+00 0.00000000000000E+00 x6 : 0.00000000000000E+00 0.00000000000000E+00 x7 : 0.00000000000000E+00 0.00000000000000E+00 x8 : 0.00000000000000E+00 0.00000000000000E+00 == err : 0.000E+00 = rco : 1.000E+00 = res : 0.000E+00 == solution 25 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 5.00000000000000E-02 1.89179664446979E-58 x2 : -7.50000000000000E-02 3.98272977783113E-58 x3 : 5.00000000000000E-02 1.09525068890356E-58 x4 : 5.00000000000000E-02 -3.18618382226490E-57 x5 : 5.00000000000000E-02 -2.54894705781192E-57 x6 : 5.00000000000000E-02 6.37236764452981E-58 x7 : 5.00000000000000E-02 3.18618382226490E-57 x8 : -7.50000000000000E-02 2.62860165336855E-57 == err : 2.689E-17 = rco : 2.576E-01 = res : 1.388E-17 == solution 26 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : -6.25000000000000E-02 -1.63132611699963E-55 x2 : 6.25000000000000E-02 -4.07831529249908E-56 x3 : 6.25000000000000E-02 0.00000000000000E+00 x4 : -3.72874541028487E-55 -5.47889895680550E-93 x5 : 2.61012178719941E-54 0.00000000000000E+00 x6 : 0.00000000000000E+00 8.34829626992462E-77 x7 : 2.61012178719941E-54 -8.34829626992462E-77 x8 : 1.25000000000000E-01 1.63132611699963E-55 == err : 1.185E-38 = rco : 2.176E-01 = res : 3.639E-54 == solution 27 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : 5.00000000000000E-02 9.36979021910309E-02 x2 : 5.00000000000000E-02 -9.36979021910309E-02 x3 : 1.09375000000000E-01 -1.19660096012905E-17 x4 : 4.99999999999999E-02 -1.96253980851345E-01 x5 : 5.00000000000000E-02 1.96253980851345E-01 x6 : 1.90408538509349E-01 -3.84086840852990E-17 x7 : -2.15408538509349E-01 3.58516680124820E-17 x8 : 2.83766198545515E-17 1.71926826689891E-17 == err : 2.852E-16 = rco : 8.929E-03 = res : 1.528E-16 == solution 28 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : 2.46385698621358E-17 9.36979021910309E-02 x2 : 1.40125758504151E-18 -9.36979021910309E-02 x3 : -5.93750000000000E-02 1.50184827928554E-17 x4 : -3.65430975184500E-17 -1.96253980851345E-01 x5 : 3.45489973730669E-17 1.96253980851345E-01 x6 : -1.40408538509349E-01 2.69178866777704E-17 x7 : 2.65408538509349E-01 -3.34280621371992E-17 x8 : 5.00000000000000E-02 -2.54215991345194E-18 == err : 2.472E-16 = rco : 8.929E-03 = res : 6.283E-17 == solution 29 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -6.33673867912483E-03 -3.91518268079912E-54 x2 : 1.06336738679125E-01 -3.09951962229930E-54 x3 : 3.12500000000000E-03 4.40214791914558E-54 x4 : 5.00000000000000E-02 -1.63132611699963E-55 x5 : 5.00000000000000E-02 3.26265223399926E-55 x6 : -1.25000000000000E-02 1.63132611699963E-55 x7 : -1.25000000000000E-02 6.03320212957789E-55 x8 : -2.19617386791248E-02 -2.44698917549945E-55 == err : 1.884E-16 = rco : 1.357E-01 = res : 7.264E-18 == solution 30 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -5.63367386791248E-02 -8.35238971903811E-53 x2 : 5.63367386791248E-02 1.67047794380762E-52 x3 : 4.68750000000000E-02 -1.67047794380762E-52 x4 : 9.78101081696150E-19 -1.25285845785572E-52 x5 : -4.51647637815127E-19 1.01987178685095E-52 x6 : 6.25000000000000E-02 -8.35238971903811E-53 x7 : 6.25000000000000E-02 1.04404871487976E-53 x8 : 7.19617386791248E-02 0.00000000000000E+00 == err : 4.210E-17 = rco : 1.332E-01 = res : 3.697E-18 == solution 31 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 1.00000000000000E-01 -1.67047794380762E-52 x2 : -1.25039789028809E-18 0.00000000000000E+00 x3 : -2.50000000000000E-02 -1.67047794380762E-52 x4 : 1.00000000000000E-01 2.36429632079167E-52 x5 : 5.47191045700141E-18 0.00000000000000E+00 x6 : 1.00000000000000E-01 -3.34095588761525E-52 x7 : -5.75000555115954E-18 7.51715074713430E-52 x8 : -2.50000000000000E-02 -3.34095588761525E-52 == err : 1.489E-17 = rco : 1.277E-01 = res : 5.204E-18 == solution 32 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -5.00000000000000E-02 -2.85482070474935E-54 x2 : 5.00000000000000E-02 3.58891745739919E-54 x3 : 7.50000000000000E-02 -3.91518268079912E-54 x4 : 5.00000000000000E-02 -1.82708525103959E-53 x5 : -5.00000000000000E-02 1.82708525103959E-53 x6 : 5.00000000000000E-02 2.99424810881167E-54 x7 : -5.00000000000000E-02 0.00000000000000E+00 x8 : 7.50000000000000E-02 9.01307679642296E-54 == err : 1.353E-17 = rco : 1.277E-01 = res : 1.388E-17 == solution 33 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 1.00000000000000E-01 5.72517405563225E-59 x2 : -8.55968860983371E-36 -1.99136488891557E-59 x3 : -8.55968860983372E-36 -5.47625344451780E-59 x4 : 1.00000000000000E-01 9.95682444457783E-60 x5 : -2.31111593452025E-34 0.00000000000000E+00 x6 : 2.56790659281526E-34 3.98272977783113E-59 x7 : 1.00000000000000E-01 0.00000000000000E+00 x8 : 7.70371974885035E-35 0.00000000000000E+00 == err : 6.939E-18 = rco : 1.200E-01 = res : 6.939E-18 == solution 34 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -5.00000000000000E-02 -5.09391138584602E-57 x2 : 5.00000000000000E-02 1.91171029335894E-57 x3 : 5.00000000000000E-02 6.37236764452981E-57 x4 : 5.00000000000000E-02 -2.29405235203073E-56 x5 : -5.00000000000000E-02 5.09789411562385E-57 x6 : -5.00000000000000E-02 -3.11250332137503E-56 x7 : 5.00000000000000E-02 2.03915764624954E-56 x8 : 5.00000000000000E-02 -5.09789411562385E-57 == err : 1.457E-17 = rco : 1.012E-01 = res : 1.041E-17 == solution 35 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : -5.00000000000000E-02 0.00000000000000E+00 x2 : 5.00000000000000E-02 0.00000000000000E+00 x3 : 4.37500000000000E-02 -5.34552942018439E-51 x4 : 1.12500000000000E-01 6.41463530422127E-50 x5 : 1.25000000000000E-02 0.00000000000000E+00 x6 : -1.25000000000000E-02 2.67276471009220E-51 x7 : 1.25000000000000E-02 7.35010295275354E-51 x8 : -1.87500000000000E-02 -3.20731765211064E-50 == err : 1.084E-17 = rco : 1.378E-01 = res : 1.908E-17 == solution 36 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : -5.00000000000000E-02 0.00000000000000E+00 x2 : 5.00000000000000E-02 9.28603632813875E-63 x3 : 5.00000000000000E-02 0.00000000000000E+00 x4 : 5.00000000000000E-02 0.00000000000000E+00 x5 : -5.00000000000000E-02 -2.43086534291451E-63 x6 : 7.50000000000000E-02 2.43086534291451E-63 x7 : 5.00000000000000E-02 -6.07716335728627E-63 x8 : 5.00000000000000E-02 4.86173068582902E-63 == err : 1.045E-17 = rco : 1.618E-01 = res : 1.214E-17 == solution 37 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 1.12500000000000E-01 -5.13772141340216E-56 x2 : -1.25000000000000E-02 -1.27447352890596E-56 x3 : -1.25000000000000E-02 -6.11747293874862E-56 x4 : 5.00000000000000E-02 6.52530446799852E-55 x5 : 5.00000000000000E-02 8.15663058499816E-56 x6 : 5.00000000000000E-02 1.52936823468715E-55 x7 : 5.00000000000000E-02 -1.83524188162459E-55 x8 : -7.50000000000000E-02 -4.89397835099889E-55 == err : 2.689E-17 = rco : 2.176E-01 = res : 1.388E-17 == solution 38 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : -6.25000000000000E-02 -4.97841222228891E-60 x2 : 6.25000000000000E-02 4.97841222228891E-60 x3 : 6.25000000000000E-02 1.42240349208255E-60 x4 : 1.42240349208255E-60 -1.42240349208255E-60 x5 : -4.97841222228891E-60 -9.95682444457783E-60 x6 : -4.97841222228891E-60 0.00000000000000E+00 x7 : 0.00000000000000E+00 0.00000000000000E+00 x8 : 7.23875286018941E-86 -2.41291762006314E-86 == err : 1.268E-43 = rco : 3.274E-01 = res : 9.575E-60 == solution 39 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : -1.25000000000000E-02 0.00000000000000E+00 x2 : 1.12500000000000E-01 3.82342058671789E-57 x3 : -1.25000000000000E-02 -6.37236764452981E-57 x4 : 5.00000000000000E-02 -2.91308235178506E-57 x5 : 5.00000000000000E-02 5.09789411562385E-57 x6 : 5.00000000000000E-02 -4.16328019442614E-57 x7 : 5.00000000000000E-02 5.09789411562385E-57 x8 : 5.00000000000000E-02 9.55855146679472E-58 == err : 7.806E-18 = rco : 3.274E-01 = res : 7.980E-18 == solution 40 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : -7.50000000000000E-02 0.00000000000000E+00 x2 : 5.00000000000000E-02 -2.61012178719941E-54 x3 : 5.00000000000000E-02 1.95759134039956E-54 x4 : 5.00000000000000E-02 -1.04404871487976E-53 x5 : 5.00000000000000E-02 0.00000000000000E+00 x6 : 5.00000000000000E-02 2.08809742975953E-53 x7 : 5.00000000000000E-02 3.91518268079912E-54 x8 : 5.00000000000000E-02 6.26429228927858E-53 == err : 8.674E-18 = rco : 2.667E-01 = res : 7.980E-18 == solution 41 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : 6.05688839631642E-18 -4.89397835099889E-55 x2 : 1.00000000000000E-01 9.78795670199779E-55 x3 : 6.25000000000000E-03 -3.26265223399926E-55 x4 : 3.75000000000000E-02 -6.11747293874862E-55 x5 : 6.25000000000000E-02 1.63132611699963E-55 x6 : -6.25000000000000E-02 0.00000000000000E+00 x7 : 3.75000000000000E-02 6.52530446799852E-55 x8 : 6.87500000000000E-02 -1.14192828189974E-54 == err : 2.440E-17 = rco : 1.210E-01 = res : 1.236E-17 == solution 42 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : -7.03085406470469E-18 -9.36979021910310E-02 x2 : 5.52653552517866E-17 9.36979021910310E-02 x3 : 1.53125000000000E-01 -4.02221130501150E-17 x4 : 6.25000000000001E-02 1.96253980851345E-01 x5 : 6.25000000000000E-02 -1.96253980851345E-01 x6 : 2.02908538509349E-01 -7.36608760480691E-17 x7 : -2.02908538509349E-01 6.81975294348483E-17 x8 : -1.87500000000000E-02 3.07570128866565E-17 == err : 2.418E-16 = rco : 9.096E-03 = res : 1.320E-16 == solution 43 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -6.33673867912484E-03 7.08282648174432E-50 x2 : 1.06336738679125E-01 1.01565058983503E-49 x3 : 3.12500000000000E-03 -5.61280589119361E-50 x4 : 5.00000000000000E-02 -3.31502799051724E-50 x5 : 5.00000000000000E-02 -1.93775441481684E-50 x6 : -1.25000000000000E-02 -2.95337957211306E-50 x7 : -1.25000000000000E-02 0.00000000000000E+00 x8 : 9.07117386791248E-02 3.34095588761524E-50 == err : 1.927E-16 = rco : 1.512E-01 = res : 6.939E-18 == solution 44 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.63367386791248E-02 1.91171029335894E-57 x2 : -5.63367386791248E-02 -2.54894705781192E-57 x3 : 4.68750000000000E-02 1.27447352890596E-57 x4 : 6.25000000000000E-02 -7.96545955566226E-58 x5 : 6.25000000000000E-02 7.96545955566226E-58 x6 : -4.08689689809300E-21 -3.18618382226491E-58 x7 : 2.61695190033332E-18 -1.99136488891557E-58 x8 : -4.07117386791248E-02 -1.59309191113245E-58 == err : 3.655E-17 = rco : 1.346E-01 = res : 6.939E-18 == solution 45 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 -6.26429228927858E-53 x2 : 7.50000000000000E-02 1.25285845785572E-52 x3 : 5.00000000000000E-02 -1.67047794380762E-52 x4 : 5.00000000000000E-02 -9.18762869094192E-52 x5 : -5.00000000000000E-02 1.02316774058217E-51 x6 : 5.00000000000000E-02 7.93477023308621E-52 x7 : -5.00000000000000E-02 -1.02316774058217E-51 x8 : 5.00000000000000E-02 2.08809742975953E-52 == err : 8.465E-17 = rco : 2.181E-02 = res : 1.388E-17 == solution 46 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 1.25000000000000E-02 1.04404871487976E-53 x2 : 1.12500000000000E-01 0.00000000000000E+00 x3 : 1.25000000000000E-02 -2.08809742975953E-53 x4 : 5.00000000000000E-02 -2.08809742975953E-53 x5 : -5.00000000000000E-02 6.26429228927858E-53 x6 : 5.00000000000000E-02 8.35238971903811E-53 x7 : -5.00000000000000E-02 -6.26429228927858E-53 x8 : 7.50000000000000E-02 -4.17619485951906E-53 == err : 1.344E-17 = rco : 9.085E-02 = res : 1.388E-17 == solution 47 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 3.75000000000000E-02 -3.11150763893057E-59 x2 : -6.25000000000000E-02 1.99136488891557E-59 x3 : 6.25000000000000E-02 -5.75628913202156E-60 x4 : 1.00000000000000E-01 3.48488855560224E-59 x5 : 4.10615870326590E-18 -1.59309191113245E-58 x6 : -3.65604400531437E-18 1.59309191113245E-58 x7 : 1.00000000000000E-01 -7.96545955566226E-59 x8 : 1.35034409385458E-18 5.97409466674670E-59 == err : 7.373E-18 = rco : 9.325E-02 = res : 6.939E-18 == solution 48 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 0.00000000000000E+00 x2 : 7.50000000000000E-02 4.07831529249908E-56 x3 : -5.00000000000000E-02 -8.15663058499816E-56 x4 : 5.00000000000000E-02 8.15663058499816E-55 x5 : -5.00000000000000E-02 -6.52530446799852E-55 x6 : -5.00000000000000E-02 7.34096752649834E-55 x7 : 5.00000000000000E-02 -8.15663058499816E-55 x8 : 7.50000000000000E-02 4.07831529249908E-56 == err : 1.804E-17 = rco : 2.628E-02 = res : 2.082E-17 == solution 49 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : 1.00000000000000E-01 -2.54894705781192E-56 x2 : -2.03915764624954E-56 -1.52936823468715E-56 x3 : 7.13705176187339E-56 1.78426294046835E-56 x4 : 1.00000000000000E-01 2.03915764624954E-56 x5 : -1.01957882312477E-56 -7.64684117343577E-57 x6 : 1.01957882312477E-56 0.00000000000000E+00 x7 : -2.50000000000000E-02 -3.84964015386621E-57 x8 : -1.52936823468715E-56 -5.09789411562385E-57 == err : 5.204E-18 = rco : 1.619E-01 = res : 3.469E-18 == solution 50 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 8 the solution for t : x1 : 5.00000000000000E-02 -9.36979021910308E-02 x2 : 5.00000000000000E-02 9.36979021910308E-02 x3 : -1.03125000000000E-01 -3.12839761632453E-17 x4 : 2.52908538509349E-01 4.17224368666313E-17 x5 : -1.52908538509349E-01 -4.68625397252667E-17 x6 : -1.24999999999999E-02 -1.96253980851345E-01 x7 : -1.25000000000000E-02 1.96253980851345E-01 x8 : 6.87500000000000E-02 1.77229729028103E-17 == err : 4.137E-16 = rco : 9.156E-03 = res : 1.314E-16 == solution 51 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 0.00000000000000E+00 0.00000000000000E+00 x2 : 1.25000000000000E-01 0.00000000000000E+00 x3 : 0.00000000000000E+00 0.00000000000000E+00 x4 : 1.47390610006945E-74 7.36953050034727E-75 x5 : 0.00000000000000E+00 2.94781220013891E-75 x6 : 0.00000000000000E+00 0.00000000000000E+00 x7 : 0.00000000000000E+00 0.00000000000000E+00 x8 : 1.25000000000000E-01 0.00000000000000E+00 == err : 6.650E-38 = rco : 2.333E-01 = res : 1.349E-74 == solution 52 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 0.00000000000000E+00 -1.55575381946529E-61 x2 : 1.25000000000000E-01 -3.11150763893057E-61 x3 : 6.87273085141685E-90 -1.96363738611911E-90 x4 : 0.00000000000000E+00 -1.03090962771252E-89 x5 : -1.20272789899793E-89 -1.03716921297686E-61 x6 : 0.00000000000000E+00 3.48545636036138E-89 x7 : 7.14273099200816E-89 3.11150763893057E-61 x8 : 1.63344351410361E-132 -2.35636486334291E-89 == err : 2.803E-45 = rco : 2.667E-01 = res : 4.149E-61 == solution 53 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -1.25000000000000E-02 1.89911354915196E-65 x2 : -1.25000000000000E-02 0.00000000000000E+00 x3 : -1.25000000000000E-02 1.89911354915196E-65 x4 : 5.00000000000000E-02 -2.27893625898235E-64 x5 : 5.00000000000000E-02 -1.51929083932157E-64 x6 : 5.00000000000000E-02 7.59645419660784E-65 x7 : 5.00000000000000E-02 6.66831856066510E-65 x8 : 5.00000000000000E-02 7.59645419660784E-65 == err : 6.939E-18 = rco : 4.483E-01 = res : 7.980E-18 == solution 54 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 5.00000000000000E-02 5.87277402119867E-54 x2 : 5.00000000000000E-02 1.04404871487976E-53 x3 : 5.00000000000000E-02 -3.91518268079911E-54 x4 : 5.00000000000000E-02 4.40458051589900E-54 x5 : 5.00000000000000E-02 -1.04404871487976E-53 x6 : 5.00000000000000E-02 -2.44698917549945E-54 x7 : 5.00000000000000E-02 -1.79445872869959E-54 x8 : 5.00000000000000E-02 -6.26429228927858E-53 == err : 6.939E-18 = rco : 1.000E+00 = res : 9.714E-18 == solution 55 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 -1.87093529706454E-50 x2 : 5.00000000000000E-02 1.62036360549339E-50 x3 : -6.45031433961153E-02 5.72138695754111E-51 x4 : 5.00000000000000E-02 -6.78214045185895E-50 x5 : 5.00000000000000E-02 7.21646471724893E-50 x6 : 1.19337524528154E-01 -3.34095588761525E-52 x7 : -1.93375245281536E-02 -4.00914706513829E-51 x8 : 4.83438113203841E-03 -5.34552942018439E-51 == err : 3.562E-16 = rco : 3.868E-02 = res : 2.168E-17 == solution 56 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 -7.93477023308621E-52 x2 : 5.00000000000000E-02 -3.63328952778158E-51 x3 : 3.95031433961152E-02 7.09953126118240E-52 x4 : 5.00000000000000E-02 -1.67047794380762E-51 x5 : 5.00000000000000E-02 6.34781618646896E-51 x6 : 1.19337524528154E-01 -8.04266690157216E-52 x7 : -1.93375245281536E-02 1.15262978122726E-50 x8 : -2.98343811320384E-02 -1.20274411954149E-50 == err : 3.567E-16 = rco : 4.316E-02 = res : 1.214E-17 == solution 57 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 5.00000000000000E-02 7.64684117343577E-57 x2 : 5.00000000000000E-02 1.52936823468715E-56 x3 : 5.94617386791248E-02 0.00000000000000E+00 x4 : 5.00000000000000E-02 2.03915764624954E-55 x5 : 5.00000000000000E-02 -2.19209446971825E-55 x6 : -1.25000000000000E-02 2.54894705781192E-57 x7 : -1.25000000000000E-02 -6.37236764452981E-57 x8 : -2.19617386791248E-02 5.09789411562385E-57 == err : 3.524E-17 = rco : 5.475E-02 = res : 3.469E-18 == solution 58 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 5.00000000000000E-02 -1.22349458774972E-55 x2 : 5.00000000000000E-02 2.03915764624954E-56 x3 : -5.32117386791248E-02 -2.03915764624954E-56 x4 : -1.25000000000000E-02 2.28385656379948E-54 x5 : -1.25000000000000E-02 -2.32463971672447E-54 x6 : 5.00000000000000E-02 3.05873646937431E-56 x7 : 5.00000000000000E-02 3.05873646937431E-56 x8 : 9.07117386791248E-02 -1.01957882312477E-56 == err : 6.062E-17 = rco : 4.551E-02 = res : 1.388E-17 == solution 59 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 2.54894705781192E-57 0.00000000000000E+00 x2 : -2.50000000000000E-02 0.00000000000000E+00 x3 : 0.00000000000000E+00 -3.82342058671789E-57 x4 : 1.00000000000000E-01 -3.78447834000131E-56 x5 : 1.01957882312477E-56 1.01957882312477E-56 x6 : 1.00000000000000E-01 4.07831529249908E-56 x7 : -1.52936823468715E-56 -2.03915764624954E-56 x8 : -1.72053926402305E-57 6.88215705609219E-57 == err : 1.041E-17 = rco : 2.181E-02 = res : 3.469E-18 == solution 60 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 3.75000000000000E-02 -8.09137754031817E-53 x2 : 6.25000000000000E-02 7.30834100415835E-53 x3 : 3.75000000000000E-02 -5.22024357439882E-53 x4 : 1.00000000000000E-01 -5.42905331737477E-52 x5 : -9.06337504611844E-18 6.68191177523049E-52 x6 : 1.00000000000000E-01 6.68191177523049E-52 x7 : 1.64269789090424E-18 -7.51715074713430E-52 x8 : -2.50000000000000E-02 -2.08809742975953E-53 == err : 1.440E-17 = rco : 3.605E-02 = res : 1.041E-17 == solution 61 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -1.25000000000000E-02 8.21438016677671E-59 x2 : -1.25000000000000E-02 -8.83668169456282E-59 x3 : -2.00314339611523E-03 4.82283684034239E-60 x4 : 1.19337524528154E-01 3.11150763893057E-60 x5 : -1.93375245281536E-02 -4.66726145839586E-60 x6 : 5.00000000000000E-02 3.28575206671068E-58 x7 : 5.00000000000000E-02 -3.33553618893357E-58 x8 : 4.83438113203841E-03 -5.28956298618197E-60 == err : 3.480E-16 = rco : 4.088E-02 = res : 5.204E-18 == solution 62 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 8.03579522620406E-33 9.14613085271584E-62 x2 : 1.12989946402170E-31 -1.06958075088238E-61 x3 : 1.00961538461538E-01 3.26222129019127E-60 x4 : 9.40261467514520E-02 -2.27140057641932E-59 x5 : 3.09738532485481E-02 2.33363072919793E-59 x6 : 1.47846298308834E-34 -8.50802870020078E-63 x7 : 6.42361299510939E-36 -1.20023976306404E-62 x8 : -3.36538461538462E-02 -1.04235505904174E-59 == err : 4.533E-16 = rco : 7.848E-02 = res : 1.561E-17 == solution 63 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -1.25000000000000E-02 1.95759134039956E-54 x2 : -1.25000000000000E-02 7.64684117343576E-55 x3 : -1.25000000000000E-02 1.30506089359970E-54 x4 : 5.00000000000000E-02 2.61012178719941E-54 x5 : 5.00000000000000E-02 5.22024357439882E-54 x6 : 5.00000000000000E-02 -2.87419270238873E-54 x7 : 5.00000000000000E-02 -1.04404871487976E-53 x8 : -7.50000000000000E-02 -1.04404871487976E-53 == err : 2.689E-17 = rco : 2.399E-01 = res : 1.388E-17 == solution 64 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 6.25000000000000E-02 0.00000000000000E+00 x2 : 6.25000000000000E-02 0.00000000000000E+00 x3 : 6.25000000000000E-02 0.00000000000000E+00 x4 : 3.98272977783113E-60 0.00000000000000E+00 x5 : 9.95682444457783E-60 0.00000000000000E+00 x6 : 6.40081571437146E-60 0.00000000000000E+00 x7 : -2.98704733337335E-59 0.00000000000000E+00 x8 : -1.78591779887855E-102 0.00000000000000E+00 == err : 8.968E-44 = rco : 4.483E-01 = res : 1.613E-59 == solution 65 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : -1.25000000000000E-02 2.98704733337335E-59 x2 : -1.25000000000000E-02 6.47193588897559E-59 x3 : 1.12500000000000E-01 -1.99136488891557E-59 x4 : 5.00000000000000E-02 -1.59309191113245E-58 x5 : 5.00000000000000E-02 -1.11516433779272E-57 x6 : 5.00000000000000E-02 0.00000000000000E+00 x7 : 5.00000000000000E-02 9.55855146679472E-58 x8 : -7.50000000000000E-02 2.38963786669868E-58 == err : 2.689E-17 = rco : 2.121E-01 = res : 1.388E-17 == solution 66 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 6.25000000000000E-02 6.07716335728627E-63 x2 : 6.25000000000000E-02 6.68487969301490E-63 x3 : -6.25000000000000E-02 -7.29259602874353E-63 x4 : 0.00000000000000E+00 -9.72346137165803E-63 x5 : 7.77876909732643E-62 -1.45851920574871E-62 x6 : 0.00000000000000E+00 4.86173068582902E-63 x7 : 1.94469227433161E-62 -1.94469227433161E-62 x8 : 1.25000000000000E-01 -7.29259602874353E-63 == err : 8.769E-46 = rco : 2.613E-01 = res : 8.153E-62 == solution 67 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : -7.70371977754894E-34 1.27447352890596E-57 x2 : -3.85185988877447E-34 -1.27447352890596E-57 x3 : 9.37500000000000E-02 -1.27447352890596E-57 x4 : 6.25000000000000E-02 -6.37236764452981E-58 x5 : 6.25000000000000E-02 0.00000000000000E+00 x6 : 6.25000000000000E-02 2.54894705781192E-57 x7 : -6.25000000000000E-02 1.27447352890596E-57 x8 : 3.12500000000000E-02 -6.37236764452981E-58 == err : 3.253E-18 = rco : 1.953E-01 = res : 8.667E-34 == solution 68 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 5.00000000000000E-02 1.06910588403688E-50 x2 : 5.00000000000000E-02 8.01829413027659E-51 x3 : 5.00000000000000E-02 -1.60365882605532E-50 x4 : 5.00000000000000E-02 -3.07745787862178E-51 x5 : 5.00000000000000E-02 2.67276471009220E-51 x6 : -7.50000000000000E-02 -6.68191177523049E-52 x7 : 5.00000000000000E-02 -4.00914706513829E-51 x8 : 5.00000000000000E-02 4.00914706513829E-51 == err : 1.140E-17 = rco : 2.410E-01 = res : 6.939E-18 == solution 69 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 5.00000000000000E-02 5.34552942018439E-50 x2 : 5.00000000000000E-02 6.41463530422127E-50 x3 : 5.94617386791248E-02 -6.41463530422127E-50 x4 : 5.00000000000000E-02 -2.00457353256915E-50 x5 : 5.00000000000000E-02 -2.13821176807376E-50 x6 : -1.25000000000000E-02 0.00000000000000E+00 x7 : -1.25000000000000E-02 -1.87093529706454E-50 x8 : 9.07117386791248E-02 3.74187059412907E-50 == err : 6.061E-17 = rco : 2.431E-01 = res : 1.214E-17 == solution 70 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 2 the solution for t : x1 : 5.00000000000000E-02 1.89911354915196E-64 x2 : 5.00000000000000E-02 -3.03858167864314E-64 x3 : -5.32117386791248E-02 0.00000000000000E+00 x4 : -1.25000000000000E-02 0.00000000000000E+00 x5 : -1.25000000000000E-02 1.89911354915196E-65 x6 : 5.00000000000000E-02 -1.89911354915196E-65 x7 : 5.00000000000000E-02 -3.79822709830392E-65 x8 : -2.19617386791248E-02 1.41743028561297E-64 == err : 4.210E-17 = rco : 1.727E-01 = res : 1.388E-17 == solution 71 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 6.25000000000000E-02 6.78631664671847E-53 x2 : 3.75000000000000E-02 -7.56935318287829E-53 x3 : -6.25000000000000E-02 3.91518268079912E-54 x4 : 1.00000000000000E-01 1.67047794380762E-52 x5 : 2.85788547043062E-17 -1.46166820083167E-52 x6 : 1.00000000000000E-01 -4.17619485951906E-53 x7 : -2.74404104157819E-17 4.17619485951906E-53 x8 : 3.41533286557293E-18 -2.08809742975953E-53 == err : 2.602E-17 = rco : 3.266E-02 = res : 1.388E-17 == solution 72 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 1.12500000000000E-01 -7.13705176187339E-56 x2 : 1.25000000000000E-02 2.03915764624954E-56 x3 : -1.25000000000000E-02 5.09789411562385E-56 x4 : 5.00000000000000E-02 4.07831529249908E-56 x5 : -5.00000000000000E-02 -5.09789411562385E-57 x6 : 5.00000000000000E-02 -4.07831529249908E-56 x7 : -5.00000000000000E-02 2.03915764624954E-56 x8 : 5.00000000000000E-02 1.01957882312477E-56 == err : 1.683E-17 = rco : 9.144E-02 = res : 1.388E-17 == solution 73 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 0.00000000000000E+00 -2.54894705781192E-57 x2 : -2.03915764624954E-56 0.00000000000000E+00 x3 : -6.79719215416513E-57 -1.27447352890596E-57 x4 : 1.25000000000000E-01 7.64684117343577E-57 x5 : 2.03915764624954E-56 2.54894705781192E-57 x6 : 1.01957882312477E-56 -5.09789411562385E-57 x7 : 5.09789411562385E-57 5.09789411562385E-57 x8 : -1.52936823468715E-56 -2.54894705781192E-57 == err : 1.616E-40 = rco : 2.446E-01 = res : 1.336E-56 == solution 74 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x1 : 6.25000000000000E-02 6.26429228927858E-53 x2 : 6.25000000000000E-02 1.00228676628457E-51 x3 : -5.20031433961152E-02 -4.17619485951906E-52 x4 : 6.93375245281536E-02 -2.92333640166334E-51 x5 : -6.93375245281536E-02 -1.67047794380762E-51 x6 : 1.50259986170648E-18 1.25285845785572E-52 x7 : 1.70878377792039E-18 1.33638235504610E-51 x8 : 7.98343811320384E-02 2.33866912133067E-51 == err : 6.665E-17 = rco : 3.893E-02 = res : 1.388E-17 == solution 75 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 6.25000000000000E-02 1.21543267145725E-63 x2 : 6.25000000000000E-02 0.00000000000000E+00 x3 : 6.25000000000000E-02 1.21543267145725E-63 x4 : 0.00000000000000E+00 0.00000000000000E+00 x5 : 9.72346137165803E-63 3.54501195841699E-64 x6 : 4.86173068582902E-63 -1.21543267145725E-63 x7 : 2.71777592913021E-108 -7.59645419660784E-64 x8 : 1.25000000000000E-01 -1.51929083932157E-64 == err : 6.569E-47 = rco : 2.031E-01 = res : 1.102E-62 == solution 76 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 1 the solution for t : x1 : 6.25000000000000E-02 -3.11150763893057E-61 x2 : 6.25000000000000E-02 -6.22301527786114E-61 x3 : -6.25000000000000E-02 6.22301527786114E-61 x4 : -2.90755820785393E-104 -4.59317794318322E-61 x5 : -3.87568966770518E-104 -7.26018449083800E-61 x6 : 0.00000000000000E+00 1.24460305557223E-60 x7 : -1.94469227433161E-61 1.24460305557223E-60 x8 : -7.54036756269726E-88 -3.77018378134864E-88 == err : 1.253E-44 = rco : 2.635E-01 = res : 8.035E-61 ==