12
a1*ba1 - 1;
a2*ba2 - 1;
a3*ba3 - 1;
a4*ba4 - 1;
( -0.341202796998 - 0.40458818397*i)*a1*x + ( -0.341202796998
+ 0.40458818397*i)*ba1*bx + (0.804578095092 - 0.455949484254*i)*bx
+ (0.804578095092 + 0.455949484254*i)*x - 0.575124896007;
( -0.717258427816 - 0.0375980833196*i)*a2*x + ( -0.717258427816
+ 0.0375980833196*i)*ba2*bx + (0.804578095092 - 0.455949484254*i)*bx
+ (0.804578095092 + 0.455949484254*i)*x - 0.339362575152;
( -0.719882934354 + 0.0724833258428*i)*a3*x + ( -0.719882934354
- 0.0724833258428*i)*ba3*bx + (0.804578095092 - 0.455949484254*i)*bx
+ (0.804578095092 + 0.455949484254*i)*x - 0.331750571595;
( -0.858127587882 - 0.449623745342*i)*a4*x + ( -0.858127587882
+ 0.449623745342*i)*ba4*bx + (0.804578095092 - 0.455949484254*i)*bx
+ (0.804578095092 + 0.455949484254*i)*x + 0.0833086261661;
(0.289666784308 - 0.429646129429*i)*a1*y + (0.289666784308 +
0.429646129429*i)*ba1*by + (0.173708513787 - 0.481007429713*i)*by +
(0.173708513787 + 0.481007429713*i)*y + 0.00695984726352;
( -0.0863888465101 - 0.0626560287783*i)*a2*y + ( -0.0863888465101
+ 0.0626560287783*i)*ba2*by + (0.173708513787 - 0.481007429713*i)*by
+ (0.173708513787 + 0.481007429713*i)*y - 0.250153984457;
( -0.0890133530484 + 0.0474253803841*i)*a3*y + ( -0.0890133530484
- 0.0474253803841*i)*ba3*by + (0.173708513787 - 0.481007429713*i)*by
+ (0.173708513787 + 0.481007429713*i)*y - 0.251370251475;
( -0.227258006576 - 0.474681690801*i)*a4*y + ( -0.227258006576
+ 0.474681690801*i)*ba4*by + (0.173708513787 - 0.481007429713*i)*by
+ (0.173708513787 + 0.481007429713*i)*y + 0.0154261139338;
TITLE : Four-bar linkage whose coupler curve passes through five points.
ROOT COUNTS :
total degree : 4096
m-homogeneous Bezout bound : 96
with partition : {a1 ba1 }{a2 ba2 }{a3 ba3 }{a4 ba4 }{x bx }{y by }
mixed volume : 36
REFERENCES :
Wampler, C.W.:
"Isotropic coordinates, circularity and Bezout numbers:
planar kinematics from a new perspective" ,
Publication R&D-8188, General Motors Corporation, Research
and Development Center.
Proceedings of the 1996 ASME Design Engineering Technical Conference,
Irvine, California August 18-22, 1996. CD-ROM edited by McCarthy, J.M.,
American society of mechanical engineers.
The formulation above is derived from randomly chosen complex numbers,
for the isotropic coordinates.
THE SOLUTIONS :
36 12
===========================================================
solution 1 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 9.82751450867973E-01 1.84931300262811E-01
ba1 : 9.82751450867973E-01 -1.84931300262811E-01
a2 : 8.56641099115972E-01 5.15912809789968E-01
ba2 : 8.56641099115972E-01 -5.15912809789967E-01
a3 : -1.42123614469112E-01 9.89848916860667E-01
ba3 : -1.42123614469112E-01 -9.89848916860667E-01
a4 : 3.54575269227796E-01 9.35027474704373E-01
ba4 : 3.54575269227796E-01 -9.35027474704372E-01
x : 5.37811114799385E-01 -1.06123913869852E+00
bx : 5.37811114799386E-01 1.06123913869852E+00
y : -8.05270444664818E-02 -3.54549318016547E-01
by : -8.05270444664817E-02 3.54549318016547E-01
== err : 3.279E-15 = rco : 8.129E-04 = res : 4.475E-16 ==
solution 2 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : -5.07550439495926E-01 8.61622046704640E-01
ba1 : -5.07550439495926E-01 -8.61622046704640E-01
a2 : -8.85505019008293E-01 4.64629811044366E-01
ba2 : -8.85505019008293E-01 -4.64629811044366E-01
a3 : -9.43643343811330E-01 3.30964106332655E-01
ba3 : -9.43643343811329E-01 -3.30964106332655E-01
a4 : 9.95875188136111E-01 9.07337294222246E-02
ba4 : 9.95875188136111E-01 -9.07337294222246E-02
x : 5.32080766199881E-02 -5.90752167855135E-01
bx : 5.32080766199883E-02 5.90752167855135E-01
y : 1.77071366419852E+00 7.44464235315417E-01
by : 1.77071366419853E+00 -7.44464235315412E-01
== err : 1.089E-14 = rco : 1.443E-03 = res : 3.240E-16 ==
solution 3 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : -9.67293863406549E-01 -2.53658395910783E-01
ba1 : -9.67293863406550E-01 2.53658395910783E-01
a2 : 9.89628248684314E-01 1.43652112431447E-01
ba2 : 9.89628248684314E-01 -1.43652112431447E-01
a3 : 9.53420189156891E-01 3.01645392651767E-01
ba3 : 9.53420189156891E-01 -3.01645392651767E-01
a4 : 9.95814057759126E-01 9.14022011184858E-02
ba4 : 9.95814057759126E-01 -9.14022011184859E-02
x : -2.91350510980996E-01 -6.29899792895949E-01
bx : -2.91350510980996E-01 6.29899792895949E-01
y : 6.22620282691800E-01 -1.58754316407521E-01
by : 6.22620282691800E-01 1.58754316407521E-01
== err : 3.889E-15 = rco : 3.482E-03 = res : 1.388E-16 ==
solution 4 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.86346104015055E-01 -8.10060643597976E-01
ba1 : 5.86346104015055E-01 8.10060643597976E-01
a2 : 9.82911735093320E-01 1.84077486444809E-01
ba2 : 9.82911735093320E-01 -1.84077486444809E-01
a3 : 9.40928682377231E-01 3.38604806049541E-01
ba3 : 9.40928682377231E-01 -3.38604806049541E-01
a4 : 9.95957056909425E-01 8.98306227982205E-02
ba4 : 9.95957056909425E-01 -8.98306227982205E-02
x : -5.58958929251740E-02 -6.12044754158336E-01
bx : -5.58958929251736E-02 6.12044754158337E-01
y : 5.65894334350677E-01 -1.69263337603636E-01
by : 5.65894334350677E-01 1.69263337603636E-01
== err : 5.419E-15 = rco : 6.020E-03 = res : 1.119E-16 ==
solution 5 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.84499955846301E-01 -8.00927118534482E-01
ba1 : 5.94533029140056E-01 8.14675212786392E-01
a2 : -1.40783242757353E+00 1.49432988491258E+00
ba2 : -3.34004215545718E-01 -3.54525489824806E-01
a3 : -1.60878814237233E+00 1.27494322006191E+00
ba3 : -3.81801259879948E-01 -3.02572423847699E-01
a4 : 9.76747030573745E-01 9.66910134711030E-02
ba4 : 1.01387101918699E+00 -1.00366024472668E-01
x : 6.54269901888955E-02 -3.28326558155533E-01
bx : 2.45198947827538E-01 6.65270362443288E-01
y : -1.42177193362904E-01 7.31524928309792E-02
by : 2.19375120418369E-01 6.11788889151295E-01
== err : 4.324E-15 = rco : 2.292E-04 = res : 2.392E-16 ==
solution 6 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 8.34080812629885E-01 5.51642273581958E-01
ba1 : 8.34080812629884E-01 -5.51642273581958E-01
a2 : -3.06451062150426E-01 9.51886414708644E-01
ba2 : -3.06451062150426E-01 -9.51886414708643E-01
a3 : -4.52818665918518E-01 8.91602633349506E-01
ba3 : -4.52818665918518E-01 -8.91602633349506E-01
a4 : -4.36392745983793E-02 9.99047353088195E-01
ba4 : -4.36392745983792E-02 -9.99047353088194E-01
x : 5.81836051092208E-01 -2.07715961140398E+00
bx : 5.81836051092209E-01 2.07715961140398E+00
y : -1.84578855714090E-01 -4.13983005870054E-01
by : -1.84578855714090E-01 4.13983005870054E-01
== err : 5.993E-15 = rco : 4.046E-04 = res : 6.753E-16 ==
solution 7 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 1.44222648505760E+00 -2.91513961255178E+00
ba1 : 1.36341352181227E-01 2.75583676135648E-01
a2 : -8.25239094542344E-01 -1.56073796119156E+00
ba2 : -2.64760860171261E-01 5.00730428114510E-01
a3 : -6.07527661657120E-01 -1.68406401837341E+00
ba3 : -1.89546662747530E-01 5.25422519305847E-01
a4 : 9.26522608459346E-01 8.49850912970489E-02
ba4 : 1.07029957959140E+00 -9.81730037198110E-02
x : -2.11555520771607E-01 3.12707267343362E-02
bx : 2.51352068848403E-01 5.18006222545348E-01
y : 4.70269690315070E-02 -9.15586136292947E-02
by : 1.24368653492911E-01 2.98722380936683E-01
== err : 8.694E-15 = rco : 4.354E-04 = res : 2.220E-16 ==
solution 8 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 6.40827593951034E-01 -7.64196705001035E-01
ba1 : 6.44270181373063E-01 7.68302043144126E-01
a2 : 2.81618984876343E-01 9.63836260026193E-01
ba2 : 2.79303672287205E-01 -9.55912141459800E-01
a3 : 1.37680644006214E-01 9.94616772326237E-01
ba3 : 1.36558341525959E-01 -9.86509163021082E-01
a4 : 8.71262894216621E-01 2.36387515995789E-01
ba4 : 1.06906296801043E+00 -2.90053830053548E-01
x : 4.10643845365671E-01 -3.80097858407307E-01
bx : 4.10128329376764E-01 3.83183749403624E-01
y : 5.24290013147708E-02 -2.98380116584258E-01
by : 5.33809413311162E-02 3.00741174460712E-01
== err : 1.170E-14 = rco : 1.971E-03 = res : 1.466E-16 ==
solution 9 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 3.51654030835783E-01 -5.19060323233939E-01
ba1 : 8.94602356966670E-01 1.32048134773069E+00
a2 : 7.59250191928317E-01 9.87565025818627E-02
ba2 : 1.29517647056510E+00 -1.68465019593181E-01
a3 : -4.09622237754899E-01 7.61826082759131E-01
ba3 : -5.47499350722526E-01 -1.01825352051244E+00
a4 : 1.08040765703930E+00 1.01767052269985E-01
ba4 : 9.17436729992898E-01 -8.64162994840706E-02
x : 4.22897870061056E-01 -3.59147292204479E-01
bx : 4.46198074353932E-02 3.66755463384729E-01
y : 1.30151402987817E-01 -3.38695015587987E-01
by : 8.46054145459795E-02 2.21230007239064E-01
== err : 3.484E-15 = rco : 3.099E-03 = res : 7.850E-17 ==
solution 10 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.80683262506650E-01 -8.14129565023058E-01
ba1 : 5.80683262506650E-01 8.14129565023058E-01
a2 : 8.01898112740884E-01 -5.97460807737719E-01
ba2 : 8.01898112740884E-01 5.97460807737720E-01
a3 : 8.58981949795661E-01 5.12005869033983E-01
ba3 : 8.58981949795662E-01 -5.12005869033983E-01
a4 : 4.02174241556444E-01 -9.15563148793407E-01
ba4 : 4.02174241556445E-01 9.15563148793408E-01
x : 1.20647775640219E+00 9.36345200908908E-02
bx : 1.20647775640219E+00 -9.36345200908919E-02
y : 3.24771126859958E-01 -2.14184209895579E-01
by : 3.24771126859958E-01 2.14184209895579E-01
== err : 2.313E-15 = rco : 1.358E-03 = res : 4.965E-16 ==
solution 11 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 6.66376275153194E-01 -9.61790884862650E-01
ba1 : 4.86726126176197E-01 7.02499127048236E-01
a2 : 4.69201657843603E-01 9.05341076014495E-01
ba2 : 4.51245403102795E-01 -8.70693851912716E-01
a3 : 3.32524607404665E-01 9.65246693333123E-01
ba3 : 3.19037674622522E-01 -9.26097057542930E-01
a4 : 8.29736844351810E-01 6.67297512702328E-02
ba4 : 1.19745645343277E+00 -9.63027878518834E-02
x : 4.04563106130559E-01 -3.26901586306574E-01
bx : 5.08652823646773E-01 3.02042217209941E-01
y : 1.05593527992970E-01 -2.73116576225062E-01
by : 1.09651154224356E-01 2.84400945451860E-01
== err : 4.461E-15 = rco : 2.736E-03 = res : 2.220E-16 ==
solution 12 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : -1.03374011232280E+00 5.99954631650025E-01
ba1 : -7.23621750351877E-01 -4.19970373124827E-01
a2 : 1.47153153070572E-02 3.54664026003581E-02
ba2 : 9.98050274574271E+00 -2.40547022709552E+01
a3 : -2.39301486718584E-02 2.70555987252102E-02
ba3 : -1.83420934705552E+01 -2.07377032012856E+01
a4 : 1.18530543076811E+00 2.34052030115563E-02
ba4 : 8.43335579260776E-01 -1.66526195924673E-02
x : 3.34803931332392E-01 -1.60553319642082E-01
bx : -9.27794256879190E-04 5.90051132256030E-05
y : 4.12749367459120E-02 -5.72686811002600E-02
by : 2.76331602387450E-02 -8.68452347615003E-02
== err : 4.151E-14 = rco : 8.108E-06 = res : 2.220E-16 ==
solution 13 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.66819376085109E-01 -8.23842093422330E-01
ba1 : 5.66819376085109E-01 8.23842093422330E-01
a2 : 8.28940727752140E-01 -5.59336454983717E-01
ba2 : 8.28940727752140E-01 5.59336454983717E-01
a3 : 8.52362852776627E-01 5.22950826757632E-01
ba3 : 8.52362852776627E-01 -5.22950826757632E-01
a4 : 9.99425779881994E-01 3.38837794123805E-02
ba4 : 9.99425779881995E-01 -3.38837794123805E-02
x : 1.13337718332122E+00 5.38858402503799E-02
bx : 1.13337718332122E+00 -5.38858402503801E-02
y : 1.99684727516523E-01 -2.33955256169607E-01
by : 1.99684727516523E-01 2.33955256169607E-01
== err : 2.227E-15 = rco : 2.375E-03 = res : 3.377E-16 ==
solution 14 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 6.93446263798674E-01 -6.97473349701262E-01
ba1 : 7.16861250260055E-01 7.21024315209342E-01
a2 : 9.78227635330345E-01 1.37177545794991E-01
ba2 : 1.00254230837772E+00 -1.40587209410066E-01
a3 : 2.56050208654149E-01 9.52302418080639E-01
ba3 : 2.63306513605864E-01 -9.79290081118174E-01
a4 : 8.33724448328555E-01 2.03671500320789E-01
ba4 : 1.13188805785866E+00 -2.76510229970380E-01
x : 4.67889489415477E-01 -3.90288499566611E-01
bx : 4.50483816488714E-01 3.86539580556934E-01
y : 6.25290402759880E-02 -2.92856253985318E-01
by : 6.13303870074971E-02 2.92357825419265E-01
== err : 4.882E-15 = rco : 3.397E-03 = res : 2.283E-16 ==
solution 15 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 2.15854908155414E+00 -3.15858788593838E+00
ba1 : 1.47482056237170E-01 2.15809332391278E-01
a2 : 7.96681990696653E-01 -1.24912779152957E+00
ba2 : 3.62949361429232E-01 5.69072904337549E-01
a3 : 1.45164435205178E+00 1.22385173273606E-01
ba3 : 6.84012121337893E-01 -5.76676662385404E-02
a4 : 9.43510943026503E-01 9.79661673978685E-02
ba4 : 1.04856654223587E+00 -1.08874249062735E-01
x : -2.51207564775745E-01 2.25329652771993E-01
bx : 1.11256875363069E-01 7.35865844307878E-01
y : 4.15766144278786E-02 -9.41891746898892E-02
by : 1.16247295066729E-01 3.66309789144059E-01
== err : 1.900E-14 = rco : 5.399E-04 = res : 2.124E-16 ==
solution 16 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : -7.23621750351877E-01 4.19970373124827E-01
ba1 : -1.03374011232280E+00 -5.99954631650025E-01
a2 : 9.98050274574272E+00 2.40547022709552E+01
ba2 : 1.47153153070572E-02 -3.54664026003581E-02
a3 : -1.83420934705552E+01 2.07377032012856E+01
ba3 : -2.39301486718584E-02 -2.70555987252102E-02
a4 : 8.43335579260776E-01 1.66526195924673E-02
ba4 : 1.18530543076811E+00 -2.34052030115563E-02
x : -9.27794256879190E-04 -5.90051132256032E-05
bx : 3.34803931332392E-01 1.60553319642082E-01
y : 2.76331602387449E-02 8.68452347615003E-02
by : 4.12749367459119E-02 5.72686811002600E-02
== err : 3.931E-14 = rco : 7.378E-06 = res : 1.110E-16 ==
solution 17 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 8.97947737243556E-01 4.40102103129691E-01
ba1 : 8.97947737243556E-01 -4.40102103129691E-01
a2 : 9.69827121065192E-01 2.43793673515949E-01
ba2 : 9.69827121065192E-01 -2.43793673515949E-01
a3 : 1.91951532914574E-01 9.81404406456251E-01
ba3 : 1.91951532914574E-01 -9.81404406456251E-01
a4 : 9.91795243137984E-01 1.27836597611435E-01
ba4 : 9.91795243137984E-01 -1.27836597611435E-01
x : 4.65117817920137E-01 -4.69040702576342E-01
bx : 4.65117817920137E-01 4.69040702576342E-01
y : -1.29838210760656E-01 -3.47552123056515E-01
by : -1.29838210760656E-01 3.47552123056515E-01
== err : 1.043E-15 = rco : 8.840E-03 = res : 2.276E-16 ==
solution 18 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.83927477969023E-01 -8.11805826828519E-01
ba1 : 5.83927477969023E-01 8.11805826828519E-01
a2 : 9.44549861043735E-01 3.28368025243416E-01
ba2 : 9.44549861043735E-01 -3.28368025243417E-01
a3 : 8.81111493039487E-01 4.72908592471871E-01
ba3 : 8.81111493039487E-01 -4.72908592471871E-01
a4 : 1.22640697477968E-01 -9.92451136994722E-01
ba4 : 1.22640697477968E-01 9.92451136994723E-01
x : 1.72266423393785E+00 3.81388671167225E-01
bx : 1.72266423393785E+00 -3.81388671167227E-01
y : 4.18469706943876E-01 -1.98044030061399E-01
by : 4.18469706943876E-01 1.98044030061399E-01
== err : 1.261E-14 = rco : 8.501E-04 = res : 4.003E-16 ==
solution 19 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.54789618999254E-02 -9.98459856372056E-01
ba1 : 5.54789618999254E-02 9.98459856372056E-01
a2 : 6.87662603208105E-01 7.26030401669967E-01
ba2 : 6.87662603208105E-01 -7.26030401669967E-01
a3 : 5.74509846287377E-01 8.18497670441923E-01
ba3 : 5.74509846287377E-01 -8.18497670441923E-01
a4 : 9.07745540086883E-01 -4.19521196666358E-01
ba4 : 9.07745540086883E-01 4.19521196666358E-01
x : 5.30483425771761E-01 -1.09904193402917E-01
bx : 5.30483425771761E-01 1.09904193402917E-01
y : 1.91379614513801E-01 -2.51854814844587E-01
by : 1.91379614513801E-01 2.51854814844587E-01
== err : 6.423E-15 = rco : 2.832E-03 = res : 2.220E-16 ==
solution 20 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 6.44270181373062E-01 -7.68302043144126E-01
ba1 : 6.40827593951034E-01 7.64196705001036E-01
a2 : 2.79303672287204E-01 9.55912141459801E-01
ba2 : 2.81618984876343E-01 -9.63836260026192E-01
a3 : 1.36558341525959E-01 9.86509163021082E-01
ba3 : 1.37680644006213E-01 -9.94616772326236E-01
a4 : 1.06906296801043E+00 2.90053830053549E-01
ba4 : 8.71262894216622E-01 -2.36387515995789E-01
x : 4.10128329376764E-01 -3.83183749403624E-01
bx : 4.10643845365671E-01 3.80097858407307E-01
y : 5.33809413311161E-02 -3.00741174460712E-01
by : 5.24290013147707E-02 2.98380116584258E-01
== err : 3.105E-15 = rco : 2.022E-03 = res : 2.220E-16 ==
solution 21 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 1.36341352181226E-01 -2.75583676135647E-01
ba1 : 1.44222648505761E+00 2.91513961255180E+00
a2 : -2.64760860171261E-01 -5.00730428114509E-01
ba2 : -8.25239094542346E-01 1.56073796119156E+00
a3 : -1.89546662747530E-01 -5.25422519305846E-01
ba3 : -6.07527661657122E-01 1.68406401837341E+00
a4 : 1.07029957959140E+00 9.81730037198110E-02
ba4 : 9.26522608459345E-01 -8.49850912970489E-02
x : 2.51352068848403E-01 -5.18006222545347E-01
bx : -2.11555520771606E-01 -3.12707267343361E-02
y : 1.24368653492911E-01 -2.98722380936684E-01
by : 4.70269690315069E-02 9.15586136292945E-02
== err : 5.104E-15 = rco : 4.251E-04 = res : 2.256E-16 ==
solution 22 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 7.16861250260055E-01 -7.21024315209345E-01
ba1 : 6.93446263798671E-01 6.97473349701262E-01
a2 : 1.00254230837772E+00 1.40587209410064E-01
ba2 : 9.78227635330344E-01 -1.37177545794989E-01
a3 : 2.63306513605867E-01 9.79290081118174E-01
ba3 : 2.56050208654151E-01 -9.52302418080637E-01
a4 : 1.13188805785866E+00 2.76510229970380E-01
ba4 : 8.33724448328552E-01 -2.03671500320788E-01
x : 4.50483816488714E-01 -3.86539580556933E-01
bx : 4.67889489415478E-01 3.90288499566610E-01
y : 6.13303870074974E-02 -2.92357825419264E-01
by : 6.25290402759885E-02 2.92856253985318E-01
== err : 3.727E-15 = rco : 3.470E-03 = res : 3.331E-16 ==
solution 23 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.75266162136235E-01 -7.93293088189948E-01
ba1 : 5.99082644084859E-01 8.26136060292955E-01
a2 : 5.07220827978323E-01 2.77636644124687E+00
ba2 : 6.36773427002746E-02 -3.48549640687023E-01
a3 : 1.02866664895249E+00 3.11601658427194E-01
ba3 : 8.90427226978993E-01 -2.69726447258617E-01
a4 : 9.52930593537918E-01 8.83856268887854E-02
ba4 : 1.04044362265375E+00 -9.65025810424161E-02
x : 2.02358499973133E-01 -1.61002177570343E-01
bx : 4.52037570872707E-01 6.40342628302700E-01
y : 1.05769256510741E-01 -7.97380822576972E-02
by : 1.58281903535200E-01 3.83166969118785E-01
== err : 1.603E-14 = rco : 9.635E-04 = res : 2.220E-16 ==
solution 24 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 8.94602356966674E-01 -1.32048134773069E+00
ba1 : 3.51654030835783E-01 5.19060323233937E-01
a2 : 1.29517647056510E+00 1.68465019593182E-01
ba2 : 7.59250191928315E-01 -9.87565025818632E-02
a3 : -5.47499350722526E-01 1.01825352051244E+00
ba3 : -4.09622237754898E-01 -7.61826082759130E-01
a4 : 9.17436729992898E-01 8.64162994840705E-02
ba4 : 1.08040765703930E+00 -1.01767052269985E-01
x : 4.46198074353921E-02 -3.66755463384728E-01
bx : 4.22897870061057E-01 3.59147292204478E-01
y : 8.46054145459793E-02 -2.21230007239063E-01
by : 1.30151402987817E-01 3.38695015587987E-01
== err : 3.112E-15 = rco : 2.892E-03 = res : 2.220E-16 ==
solution 25 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 3.53867390786647E-01 -7.40617183364719E-01
ba1 : 5.25231575806248E-01 1.09926921896674E+00
a2 : 7.86814362032851E-01 -8.44667099630645E-02
ba2 : 1.25646751219873E+00 1.34885281779430E-01
a3 : 3.80040282278466E-01 6.73802935616961E-01
ba3 : 6.35050530512848E-01 -1.12593041232175E+00
a4 : 1.12000873533440E+00 2.68022458481894E-02
ba4 : 8.92339169025823E-01 -2.13540243336212E-02
x : 5.83182362533934E-01 -3.26733608827010E-01
bx : 3.76623766576485E-01 1.58903308225129E-01
y : 1.47323765602171E-01 -2.85540999394609E-01
by : 1.21094670003757E-01 2.49156335577983E-01
== err : 1.244E-14 = rco : 7.240E-04 = res : 3.335E-16 ==
solution 26 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 4.55906528910997E-01 -9.69616844879830E-01
ba1 : 3.97128497483808E-01 8.44608393000860E-01
a2 : 1.09132676402838E+00 -1.93150057117165E-01
ba2 : 8.88484760010127E-01 1.57249769546773E-01
a3 : 6.17507155452057E-01 9.35125659327144E-01
ba3 : 4.91733880096159E-01 -7.44660146491399E-01
a4 : 8.75277045012626E-01 -2.30152915942946E-02
ba4 : 1.14170600441136E+00 3.00210050705778E-02
x : 4.87403733451099E-01 -1.68688908265233E-01
bx : 5.81051048838036E-01 2.71102828055631E-01
y : 1.34373581079592E-01 -2.59259706293345E-01
by : 1.44652289151356E-01 2.67024928665058E-01
== err : 6.143E-15 = rco : 1.040E-03 = res : 2.238E-16 ==
solution 27 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.98182626802471E-01 -8.22838930188607E-01
ba1 : 5.78017693438396E-01 7.95100758845663E-01
a2 : 9.31410134673744E-01 1.34093599949173E-01
ba2 : 1.05183951960977E+00 -1.51431622335405E-01
a3 : -7.18468764008540E-02 3.34649968873512E-01
ba3 : -6.13276116272330E-01 -2.85653104912107E+00
a4 : 1.03322889662301E+00 9.83386202283617E-02
ba4 : 9.59151303925725E-01 -9.12882093469986E-02
x : 4.07453650829184E-01 -6.59241121554751E-01
bx : 1.61242793297522E-01 1.90369017290981E-01
y : 1.72945324245753E-01 -4.23116907694665E-01
by : 9.81794420788301E-02 1.23330096786668E-01
== err : 3.966E-14 = rco : 7.382E-04 = res : 2.251E-16 ==
solution 28 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.94533029140056E-01 -8.14675212786392E-01
ba1 : 5.84499955846301E-01 8.00927118534481E-01
a2 : -3.34004215545716E-01 3.54525489824815E-01
ba2 : -1.40783242757349E+00 -1.49432988491259E+00
a3 : -3.81801259879947E-01 3.02572423847709E-01
ba3 : -1.60878814237229E+00 -1.27494322006192E+00
a4 : 1.01387101918699E+00 1.00366024472669E-01
ba4 : 9.76747030573745E-01 -9.66910134711034E-02
x : 2.45198947827540E-01 -6.65270362443283E-01
bx : 6.54269901889003E-02 3.28326558155534E-01
y : 2.19375120418362E-01 -6.11788889151299E-01
by : -1.42177193362911E-01 -7.31524928309745E-02
== err : 3.358E-14 = rco : 2.079E-04 = res : 1.552E-16 ==
solution 29 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 3.97128497483808E-01 -8.44608393000859E-01
ba1 : 4.55906528910998E-01 9.69616844879831E-01
a2 : 8.88484760010126E-01 -1.57249769546771E-01
ba2 : 1.09132676402838E+00 1.93150057117164E-01
a3 : 4.91733880096157E-01 7.44660146491399E-01
ba3 : 6.17507155452057E-01 -9.35125659327147E-01
a4 : 1.14170600441136E+00 -3.00210050705763E-02
ba4 : 8.75277045012627E-01 2.30152915942934E-02
x : 5.81051048838036E-01 -2.71102828055632E-01
bx : 4.87403733451097E-01 1.68688908265233E-01
y : 1.44652289151356E-01 -2.67024928665058E-01
by : 1.34373581079592E-01 2.59259706293345E-01
== err : 1.122E-14 = rco : 9.496E-04 = res : 2.220E-16 ==
solution 30 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.99082644084859E-01 -8.26136060292955E-01
ba1 : 5.75266162136235E-01 7.93293088189948E-01
a2 : 6.36773427002765E-02 3.48549640687024E-01
ba2 : 5.07220827978336E-01 -2.77636644124687E+00
a3 : 8.90427226978993E-01 2.69726447258616E-01
ba3 : 1.02866664895249E+00 -3.11601658427194E-01
a4 : 1.04044362265375E+00 9.65025810424160E-02
ba4 : 9.52930593537919E-01 -8.83856268887854E-02
x : 4.52037570872708E-01 -6.40342628302699E-01
bx : 2.02358499973134E-01 1.61002177570343E-01
y : 1.58281903535200E-01 -3.83166969118785E-01
by : 1.05769256510742E-01 7.97380822576970E-02
== err : 1.784E-14 = rco : 8.997E-04 = res : 2.431E-16 ==
solution 31 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 4.86726126176197E-01 -7.02499127048237E-01
ba1 : 6.66376275153194E-01 9.61790884862650E-01
a2 : 4.51245403102796E-01 8.70693851912715E-01
ba2 : 4.69201657843605E-01 -9.05341076014495E-01
a3 : 3.19037674622522E-01 9.26097057542930E-01
ba3 : 3.32524607404665E-01 -9.65246693333123E-01
a4 : 1.19745645343277E+00 9.63027878518824E-02
ba4 : 8.29736844351810E-01 -6.67297512702322E-02
x : 5.08652823646773E-01 -3.02042217209941E-01
bx : 4.04563106130559E-01 3.26901586306573E-01
y : 1.09651154224357E-01 -2.84400945451860E-01
by : 1.05593527992970E-01 2.73116576225061E-01
== err : 5.248E-15 = rco : 2.287E-03 = res : 2.220E-16 ==
solution 32 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 1.47482056237170E-01 -2.15809332391278E-01
ba1 : 2.15854908155415E+00 3.15858788593838E+00
a2 : 3.62949361429232E-01 -5.69072904337548E-01
ba2 : 7.96681990696654E-01 1.24912779152957E+00
a3 : 6.84012121337892E-01 5.76676662385404E-02
ba3 : 1.45164435205179E+00 -1.22385173273606E-01
a4 : 1.04856654223587E+00 1.08874249062735E-01
ba4 : 9.43510943026503E-01 -9.79661673978686E-02
x : 1.11256875363070E-01 -7.35865844307877E-01
bx : -2.51207564775744E-01 -2.25329652771992E-01
y : 1.16247295066729E-01 -3.66309789144059E-01
by : 4.15766144278784E-02 9.41891746898892E-02
== err : 2.702E-14 = rco : 5.750E-04 = res : 2.220E-16 ==
solution 33 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 9.08392883687729E-01 -1.50968152011738E+00
ba1 : 2.92622563594198E-01 4.86316972050825E-01
a2 : -4.26270063901832E-01 1.14487574962940E+00
ba2 : -2.85618292656344E-01 -7.67113350441862E-01
a3 : 1.32999647456897E+00 3.71215621281882E-01
ba3 : 6.97541454958633E-01 -1.94690955595393E-01
a4 : 9.05880957805788E-01 7.77628427599359E-02
ba4 : 1.09582280770468E+00 -9.40678749829285E-02
x : 2.43134626981264E-02 -3.19180931795601E-01
bx : 4.33564833438156E-01 3.27856655530016E-01
y : 7.32532369546443E-02 -1.75269267534994E-01
by : 1.22819657747432E-01 2.94837409939743E-01
== err : 1.959E-15 = rco : 3.614E-03 = res : 1.391E-16 ==
solution 34 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.25231575806241E-01 -1.09926921896675E+00
ba1 : 3.53867390786640E-01 7.40617183364719E-01
a2 : 1.25646751219874E+00 -1.34885281779439E-01
ba2 : 7.86814362032844E-01 8.44667099630685E-02
a3 : 6.35050530512860E-01 1.12593041232175E+00
ba3 : 3.80040282278467E-01 -6.73802935616954E-01
a4 : 8.92339169025826E-01 2.13540243336211E-02
ba4 : 1.12000873533440E+00 -2.68022458481891E-02
x : 3.76623766576482E-01 -1.58903308225123E-01
bx : 5.83182362533936E-01 3.26733608827011E-01
y : 1.21094670003757E-01 -2.49156335577982E-01
by : 1.47323765602172E-01 2.85540999394609E-01
== err : 6.440E-15 = rco : 7.671E-04 = res : 2.818E-16 ==
solution 35 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 2.92622563594199E-01 -4.86316972050825E-01
ba1 : 9.08392883687731E-01 1.50968152011738E+00
a2 : -2.85618292656345E-01 7.67113350441862E-01
ba2 : -4.26270063901834E-01 -1.14487574962940E+00
a3 : 6.97541454958633E-01 1.94690955595394E-01
ba3 : 1.32999647456897E+00 -3.71215621281883E-01
a4 : 1.09582280770468E+00 9.40678749829288E-02
ba4 : 9.05880957805788E-01 -7.77628427599361E-02
x : 4.33564833438156E-01 -3.27856655530017E-01
bx : 2.43134626981261E-02 3.19180931795602E-01
y : 1.22819657747431E-01 -2.94837409939743E-01
by : 7.32532369546441E-02 1.75269267534994E-01
== err : 8.169E-15 = rco : 4.898E-03 = res : 2.285E-16 ==
solution 36 :
t : 1.00000000000000E+00 0.00000000000000E+00
m : 1
the solution for t :
a1 : 5.78017693438396E-01 -7.95100758845663E-01
ba1 : 5.98182626802471E-01 8.22838930188607E-01
a2 : 1.05183951960977E+00 1.51431622335405E-01
ba2 : 9.31410134673745E-01 -1.34093599949173E-01
a3 : -6.13276116272363E-01 2.85653104912106E+00
ba3 : -7.18468764008578E-02 -3.34649968873511E-01
a4 : 9.59151303925725E-01 9.12882093469989E-02
ba4 : 1.03322889662301E+00 -9.83386202283620E-02
x : 1.61242793297520E-01 -1.90369017290982E-01
bx : 4.07453650829182E-01 6.59241121554752E-01
y : 9.81794420788288E-02 -1.23330096786669E-01
by : 1.72945324245751E-01 4.23116907694665E-01
== err : 1.731E-14 = rco : 9.344E-04 = res : 1.241E-16 ==