13 11 x0**2+x1**2+x2**2-1; x0*x3+x1*x4+x2*x5; x3**2+x4**2+x5**2-2.50000000000000E-01; x1**2+ 2*x1*x5+x2**2-2*x2*x4+x3**2+x4**2+x5**2-2.50000000000000E-01; 7.50000000000000E-01*x0**2-8.66025403784440E-01*x0*x1 -1.73205080756888E+00*x0*x5+ 2.50000000000000E-01*x1**2+x1*x5+x2**2+ 1.73205080756888E+00*x2*x3 -x2*x4+x3**2+x4**2+x5**2-2.50000000000000E-01; 7.50000000000000E-01*x0**2-2.88675134594810E-01*x0*x1 -8.16496580927730E-01*x0*x2+ 1.63299316185545E+00*x0*x4-5.77350269189630E-01*x0*x5+ 9.16666666666670E-01*x1**2-4.71404520791030E-01*x1*x2-1.63299316185545E+00*x1*x3+x1*x5+ 3.33333333333330E-01*x2**2+ 5.77350269189630E-01*x2*x3-x2*x4+x3**2+x4**2+x5**2 -2.50000000000000E-01; +(-1.70682136227030E+00 + 1.04247821909993E+00*i)*x0*lm[1,1] +( 1.02886328236645E+00 - 1.71506278199900E+00*i)*x0*lm[1,2] +(-1.51754444805464E+00 - 1.30271211254771E+00*i)*x0*lm[1,3] +( 1.74187260693797E+00 - 9.82791850393122E-01*i)*x0*lm[1,4] +(-1.43933951369032E+00 - 1.38863305604098E+00*i)*x0*lm[1,5] +( 1.98011642052459E+00 - 2.81316478665698E-01*i)*x1*lm[1,1] +( 7.08864979111531E-01 - 1.87016321250024E+00*i)*x1*lm[1,2] +( 6.94320478483903E-01 + 1.87561165307691E+00*i)*x1*lm[1,3] +(-1.05423532877480E+00 - 1.69958461735892E+00*i)*x1*lm[1,4] +( 1.37852549752255E+00 - 1.44902293035004E+00*i)*x1*lm[1,5] +( 6.33004863841690E-01 - 1.89718339713185E+00*i)*x2*lm[1,1] +(-1.85772329917673E+00 + 7.40853658758554E-01*i)*x2*lm[1,2] +( 1.96145825536930E+00 - 3.90744817551865E-01*i)*x2*lm[1,3] +(-1.91697011015595E+00 + 5.70285539680498E-01*i)*x2*lm[1,4] +( 1.96175737592378E+00 + 3.89240283126824E-01*i)*x2*lm[1,5]; +(-8.31149886977835E-01 - 5.56048437977063E-01*i)*x0*lm[1,1] +( 9.92770082900733E-01 - 1.20031506269277E-01*i)*x0*lm[1,2] +(-5.15089208144697E-01 - 8.57136574679245E-01*i)*x0*lm[1,3] +( 9.17558040829808E-01 - 3.97601863311233E-01*i)*x0*lm[1,4] +(-8.31363067759846E-01 - 5.55729655106633E-01*i)*x0*lm[1,5] +( 6.58600647021188E-01 + 7.52492649627405E-01*i)*x1*lm[1,1] +(-9.25630830509873E-01 + 3.78427754808766E-01*i)*x1*lm[1,2] +( 9.51050590793660E-01 - 3.09035230598440E-01*i)*x1*lm[1,3] +(-7.15596900158287E-01 + 6.98513476236393E-01*i)*x1*lm[1,4] +( 6.86270048338550E-01 - 7.27346836628444E-01*i)*x1*lm[1,5] +(-2.20971721626949E-01 - 9.75280215241354E-01*i)*x2*lm[1,1] +(-9.96188196248180E-01 - 8.72300272601032E-02*i)*x2*lm[1,2] +( 7.32262639654231E-01 - 6.81022339256664E-01*i)*x2*lm[1,3] +(-7.17001800801529E-01 - 6.97071314606594E-01*i)*x2*lm[1,4] +(-9.05622294939825E-01 + 4.24085202415652E-01*i)*x2*lm[1,5] +(-8.53410681135149E-01 + 5.21239109549965E-01*i)*x3*lm[1,1] +( 5.14431641183223E-01 - 8.57531390999499E-01*i)*x3*lm[1,2] +(-7.58772224027322E-01 - 6.51356056273857E-01*i)*x3*lm[1,3] +( 8.70936303468983E-01 - 4.91395925196561E-01*i)*x3*lm[1,4] +(-7.19669756845159E-01 - 6.94316528020491E-01*i)*x3*lm[1,5] +( 9.90058210262297E-01 - 1.40658239332849E-01*i)*x4*lm[1,1] +( 3.54432489555765E-01 - 9.35081606250119E-01*i)*x4*lm[1,2] +( 3.47160239241951E-01 + 9.37805826538453E-01*i)*x4*lm[1,3] +(-5.27117664387402E-01 - 8.49792308679462E-01*i)*x4*lm[1,4] +( 6.89262748761273E-01 - 7.24511465175020E-01*i)*x4*lm[1,5] +( 3.16502431920845E-01 - 9.48591698565927E-01*i)*x5*lm[1,1] +(-9.28861649588364E-01 + 3.70426829379277E-01*i)*x5*lm[1,2] +( 9.80729127684648E-01 - 1.95372408775932E-01*i)*x5*lm[1,3] +(-9.58485055077976E-01 + 2.85142769840249E-01*i)*x5*lm[1,4] +( 9.80878687961889E-01 + 1.94620141563412E-01*i)*x5*lm[1,5]; +(-1.66229977395567E+00 - 1.11209687595413E+00*i)*x3*lm[1,1] +( 1.98554016580147E+00 - 2.40063012538554E-01*i)*x3*lm[1,2] +(-1.03017841628939E+00 - 1.71427314935849E+00*i)*x3*lm[1,3] +( 1.83511608165962E+00 - 7.95203726622466E-01*i)*x3*lm[1,4] +(-1.66272613551969E+00 - 1.11145931021327E+00*i)*x3*lm[1,5] +( 1.31720129404238E+00 + 1.50498529925481E+00*i)*x4*lm[1,1] +(-1.85126166101975E+00 + 7.56855509617531E-01*i)*x4*lm[1,2] +( 1.90210118158732E+00 - 6.18070461196881E-01*i)*x4*lm[1,3] +(-1.43119380031657E+00 + 1.39702695247279E+00*i)*x4*lm[1,4] +( 1.37254009667710E+00 - 1.45469367325689E+00*i)*x4*lm[1,5] +(-4.41943443253898E-01 - 1.95056043048271E+00*i)*x5*lm[1,1] +(-1.99237639249636E+00 - 1.74460054520206E-01*i)*x5*lm[1,2] +( 1.46452527930846E+00 - 1.36204467851333E+00*i)*x5*lm[1,3] +(-1.43400360160306E+00 - 1.39414262921319E+00*i)*x5*lm[1,4] +(-1.81124458987965E+00 + 8.48170404831303E-01*i)*x5*lm[1,5]; +( 1.53817297727070E+00 - 2.23187690914841E+00*i)*x1*lm[1,1] +(-1.28351141338483E+00 - 2.04462326702044E+00*i)*x1*lm[1,2] +( 2.15884575779236E+00 + 5.13566974563579E-01*i)*x1*lm[1,3] +(-2.48823893037786E+00 - 3.09372724657211E+00*i)*x1*lm[1,4] +(-4.32719092357104E-01 - 6.00852525518736E-01*i)*x1*lm[1,5] +(-6.84196430200687E-01 - 3.40216869638666E+00*i)*x2*lm[1,1] +(-6.46163815698197E-03 - 1.60018508589778E-02*i)*x2*lm[1,2] +( 5.93570737819764E-02 + 2.27325643645016E-01*i)*x2*lm[1,3] +(-4.85776309839378E-01 - 8.26741412792289E-01*i)*x2*lm[1,4] +( 5.89217279246679E-01 + 1.84393395638371E+00*i)*x2*lm[1,5] +(-1.66229977395567E+00 - 1.11209687595413E+00*i)*x3*lm[1,1] +( 1.98554016580147E+00 - 2.40063012538554E-01*i)*x3*lm[1,2] +(-1.03017841628939E+00 - 1.71427314935849E+00*i)*x3*lm[1,3] +( 1.83511608165962E+00 - 7.95203726622466E-01*i)*x3*lm[1,4] +(-1.66272613551969E+00 - 1.11145931021327E+00*i)*x3*lm[1,5] +( 6.84196430200687E-01 + 3.40216869638666E+00*i)*x4*lm[1,1] +( 6.46163815698197E-03 + 1.60018508589778E-02*i)*x4*lm[1,2] +(-5.93570737819764E-02 - 2.27325643645016E-01*i)*x4*lm[1,3] +( 4.85776309839378E-01 + 8.26741412792289E-01*i)*x4*lm[1,4] +(-5.89217279246679E-01 - 1.84393395638371E+00*i)*x4*lm[1,5] +( 1.53817297727070E+00 - 2.23187690914841E+00*i)*x5*lm[1,1] +(-1.28351141338483E+00 - 2.04462326702044E+00*i)*x5*lm[1,2] +( 2.15884575779236E+00 + 5.13566974563579E-01*i)*x5*lm[1,3] +(-2.48823893037786E+00 - 3.09372724657211E+00*i)*x5*lm[1,4] +(-4.32719092357104E-01 - 6.00852525518736E-01*i)*x5*lm[1,5]; +(-1.75479733412139E+00 + 2.59290715725353E+00*i)*x0*lm[1,1] +( 2.19014849169522E+00 - 3.25405821714969E-01*i)*x0*lm[1,2] +(-2.70712401877403E+00 - 6.09632461328197E-01*i)*x0*lm[1,3] +( 3.00478529145311E+00 + 1.20621077285965E+00*i)*x0*lm[1,4] +(-1.07839858274387E-01 - 1.14856657517813E+00*i)*x0*lm[1,5] +( 1.01313271322822E+00 - 1.49701564522403E+00*i)*x1*lm[1,1] +(-1.26448282124549E+00 + 1.87873138763011E-01*i)*x1*lm[1,2] +( 1.56295878096889E+00 + 3.51971465654570E-01*i)*x1*lm[1,3] +(-1.73481359687748E+00 - 6.96406114409945E-01*i)*x1*lm[1,4] +( 6.22613712040905E-02 + 6.63125221361298E-01*i)*x1*lm[1,5] +(-1.46518961613024E+00 - 3.61278019280485E+00*i)*x2*lm[1,1] +( 7.87435755151584E-01 + 1.54525236582378E-01*i)*x2*lm[1,2] +( 1.18246985638598E-01 - 1.56631368332343E+00*i)*x2*lm[1,3] +( 3.87883935612923E-01 - 8.16894564995008E-01*i)*x2*lm[1,4] +(-1.64475745311154E-01 + 1.54035121837848E-01*i)*x2*lm[1,5] +(-1.11410148114966E+00 - 2.75510589350838E+00*i)*x3*lm[1,1] +( 3.76704595512179E-01 + 4.01535076433002E-01*i)*x3*lm[1,2] +( 6.68494261323123E-01 - 2.05266808775552E+00*i)*x3*lm[1,3] +( 1.74971267969105E-01 - 3.01321961848236E-01*i)*x3*lm[1,4] +( 3.62055880918022E-02 - 7.74367336849189E-01*i)*x3*lm[1,5] +( 1.00069886212153E+00 + 2.45357699782074E+00*i)*x4*lm[1,1] +(-9.22400011431382E-01 + 3.86428680238255E-01*i)*x4*lm[1,2] +( 9.21372053902671E-01 - 4.22698052420948E-01*i)*x4*lm[1,3] +(-4.72708745238598E-01 + 1.11188418263254E+00*i)*x4*lm[1,4] +( 3.91661408715211E-01 - 1.64931381482030E+00*i)*x4*lm[1,5] +( 2.02626542645644E+00 - 2.99403129044806E+00*i)*x5*lm[1,1] +(-2.52896564249098E+00 + 3.75746277526022E-01*i)*x5*lm[1,2] +( 3.12591756193777E+00 + 7.03942931309140E-01*i)*x5*lm[1,3] +(-3.46962719375497E+00 - 1.39281222881989E+00*i)*x5*lm[1,4] +( 1.24522742408181E-01 + 1.32625044272260E+00*i)*x5*lm[1,5]; +(-6.21275926381780E-01 + 3.38887872506469E+00*i)*x0*lm[1,1] +( 4.91344682833555E-01 - 6.50482302050879E-01*i)*x0*lm[1,2] +(-9.08849765178117E-01 - 1.19969839128309E+00*i)*x0*lm[1,3] +( 1.48656632635808E+00 + 8.18523965930407E-01*i)*x0*lm[1,4] +(-4.35826175172649E-01 - 2.42383114375751E+00*i)*x0*lm[1,5] +( 3.04855484509150E+00 - 2.84287121578922E-02*i)*x1*lm[1,1] +(-1.67821609785387E+00 - 1.53260856871601E+00*i)*x1*lm[1,2] +( 1.96657876234621E+00 + 2.71811624190672E+00*i)*x1*lm[1,3] +(-2.98133365834535E+00 - 1.59830656251883E+00*i)*x1*lm[1,4] +( 1.46099639852846E+00 + 1.12004012165265E-01*i)*x1*lm[1,5] +(-6.97374649614079E-01 - 2.06520485157190E+00*i)*x2*lm[1,1] +( 2.92453051351503E-01 + 9.40196387605748E-01*i)*x2*lm[1,2] +(-1.38736044912562E-01 - 2.26336987382407E-01*i)*x2*lm[1,3] +( 1.43728381302612E-01 + 6.38451896938205E-02*i)*x2*lm[1,4] +(-2.49652293913847E-01 + 1.44468798295702E+00*i)*x2*lm[1,5] +(-3.09632529688418E+00 - 1.43007260548304E+00*i)*x3*lm[1,1] +( 8.70475810587733E-01 + 1.50078488590189E+00*i)*x3*lm[1,2] +(-1.03086448716876E+00 - 3.35850196404299E+00*i)*x3*lm[1,3] +( 2.14251401853395E+00 + 7.57128557373196E-01*i)*x3*lm[1,4] +(-2.22197691643137E+00 + 1.84026949224773E-01*i)*x3*lm[1,5] +(-3.92914944426569E-01 + 3.30475689940745E+00*i)*x4*lm[1,1] +(-8.23366591371022E-02 - 1.01391421734032E+00*i)*x4*lm[1,2] +(-3.17697799339797E-01 - 1.48635803824929E+00*i)*x4*lm[1,3] +( 9.49524282737914E-01 + 3.09437997022921E-01*i)*x4*lm[1,4] +(-7.83554383007109E-01 - 2.78312795724098E+00*i)*x4*lm[1,5] +( 1.04083165349108E+00 - 2.39215621002639E+00*i)*x5*lm[1,1] +(-1.93495114945739E+00 - 6.14445681338207E-01*i)*x5*lm[1,2] +( 2.24976286634620E+00 - 4.81782575468674E-02*i)*x5*lm[1,3] +(-2.46395657524530E+00 - 1.96022736820173E+00*i)*x5*lm[1,4] +(-7.06480313276189E-01 + 5.24522774011723E-01*i)*x5*lm[1,5]; +(-9.82646166603868E-01 - 1.85489922256502E-01*i)*lm[1,1] +(-8.23883557349633E-01 - 5.66759105730921E-01*i)*lm[1,2] +(-9.98432952666508E-01 - 5.59610492185208E-02*i)*lm[1,3] +( 1.84076580613430E-01 - 9.82911904734940E-01*i)*lm[1,4] +(-4.47726321169754E-01 - 8.94170644414028E-01*i)*lm[1,5] -1; THE SOLUTIONS OF DEFLATION LEVEL 1 : 6 11 =========================================================== solution 1 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x0 : -7.07106781186573E-01 9.72942996928417E-14 x1 : -4.08248290463815E-01 -1.80338840103107E-13 x2 : 5.77350269189627E-01 8.52539815493844E-15 x3 : -2.50000000000000E-01 2.48738116240850E-15 x4 : 4.33012701892219E-01 7.06393576331195E-15 x5 : -4.67623105626289E-14 1.73363115472882E-13 lm[1,1] : -1.01082562547226E-01 1.50142338720217E-01 lm[1,2] : -3.70977544937937E-01 -1.16958359697056E-01 lm[1,3] : -3.28124375982157E-01 -1.06574803919408E-01 lm[1,4] : 7.62628033107450E-02 1.44304797938846E-01 lm[1,5] : 1.57479536985092E-01 2.53252683021626E-01 == err : 1.630E-07 = rco : 4.132E-03 = res : 2.695E-14 == solution 2 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x0 : -7.07106781186561E-01 -5.19755517671298E-15 x1 : 4.08248290463852E-01 2.31655637307236E-15 x2 : -5.77350269189625E-01 3.19646338700238E-15 x3 : 2.50000000000001E-01 2.21675886288729E-15 x4 : -1.44337567297407E-01 3.51903991376091E-15 x5 : -4.08248290463864E-01 -1.58631325833649E-15 lm[1,1] : 4.36949840125684E-02 2.96237051652990E-01 lm[1,2] : -2.53524705402207E-01 1.67853719685633E-01 lm[1,3] : -5.17286678590417E-01 -1.66194939459724E-01 lm[1,4] : -2.85157111590272E-01 -2.39527786183392E-01 lm[1,5] : -8.53294439661189E-02 4.77007225817986E-01 == err : 1.421E-07 = rco : 2.220E-02 = res : 2.601E-14 == solution 3 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x0 : -2.12556713431692E-15 9.45865177703384E-15 x1 : -8.16496580927717E-01 1.18665150890507E-15 x2 : -5.77350269189631E-01 -4.73073030223069E-15 x3 : 5.48521398617646E-15 3.21573720481812E-15 x4 : -2.88675134594813E-01 -3.11356350813971E-15 x5 : 4.08248290463860E-01 -1.12238230169700E-15 lm[1,1] : -2.25543742504308E-02 1.19100718253786E-01 lm[1,2] : -6.17980551294115E-01 -1.69117911695288E-01 lm[1,3] : -3.15716283906048E-01 -9.00071987322881E-02 lm[1,4] : 2.78331526095804E-01 1.48342541553829E-01 lm[1,5] : 1.97037012123585E-01 1.38052167625454E-01 == err : 7.549E-08 = rco : 2.395E-02 = res : 1.241E-14 == solution 4 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x0 : 3.77460903387325E-15 -5.33969220548020E-15 x1 : 8.16496580927726E-01 -1.67483360115961E-15 x2 : 5.77350269189625E-01 -7.45443359864108E-15 x3 : 1.51132203014939E-15 3.62007167106007E-15 x4 : 2.88675134594810E-01 -4.33235955012489E-15 x5 : -4.08248290463865E-01 4.09516947994225E-16 lm[1,1] : -2.25543742504322E-02 1.19100718253785E-01 lm[1,2] : -6.17980551294114E-01 -1.69117911695290E-01 lm[1,3] : -3.15716283906046E-01 -9.00071987322900E-02 lm[1,4] : 2.78331526095806E-01 1.48342541553830E-01 lm[1,5] : 1.97037012123586E-01 1.38052167625456E-01 == err : 1.264E-07 = rco : 2.395E-02 = res : 1.279E-14 == solution 5 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x0 : 7.07106781186556E-01 -1.19687108267837E-14 x1 : -4.08248290463876E-01 -1.76943828619848E-14 x2 : 5.77350269189608E-01 8.03442688906771E-15 x3 : -2.50000000000004E-01 -4.69324189354951E-16 x4 : 1.44337567297393E-01 6.34285055673999E-15 x5 : 4.08248290463866E-01 -4.48342589103423E-16 lm[1,1] : 4.36949840125622E-02 2.96237051652992E-01 lm[1,2] : -2.53524705402210E-01 1.67853719685632E-01 lm[1,3] : -5.17286678590415E-01 -1.66194939459732E-01 lm[1,4] : -2.85157111590263E-01 -2.39527786183395E-01 lm[1,5] : -8.53294439661171E-02 4.77007225817982E-01 == err : 2.248E-07 = rco : 2.220E-02 = res : 6.370E-14 == solution 6 : t : 1.00000000000000E+00 0.00000000000000E+00 m : 4 the solution for t : x0 : 7.07106781186532E-01 2.48397560154456E-14 x1 : 4.08248290463890E-01 -4.39880423572653E-14 x2 : -5.77350269189630E-01 7.50037969483556E-16 x3 : 2.50000000000000E-01 2.09484897998941E-15 x4 : -4.33012701892222E-01 1.68676410211992E-15 x5 : -2.63369159558107E-14 4.18677727043125E-14 lm[1,1] : -1.01082562547268E-01 1.50142338720178E-01 lm[1,2] : -3.70977544937986E-01 -1.16958359697057E-01 lm[1,3] : -3.28124375982070E-01 -1.06574803919367E-01 lm[1,4] : 7.62628033108288E-02 1.44304797938854E-01 lm[1,5] : 1.57479536985052E-01 2.53252683021591E-01 == err : 8.997E-08 = rco : 4.132E-03 = res : 6.261E-15 ==