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fixed formatting errors of output
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‎src/Python/PHCpy/doc/source/posdimsolsets.rst‎

Lines changed: 82 additions & 19 deletions
Original file line numberDiff line numberDiff line change
@@ -436,7 +436,8 @@ The output is rather extensive ...
436436
+ x1^4 - 10*x1^3 + 35*x1^2 - 50*x1 + 24;
437437
x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2 + 6;
438438
x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2 - 6*x1 - 6*x3 + 4;
439-
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4 + x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4 + 1;
439+
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4
440+
+ x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4 + 1;
440441
the generic points :
441442
Solution 1 :
442443
t : 1.00000000000000E+00 0.00000000000000E+00
@@ -476,11 +477,20 @@ The output is rather extensive ...
476477
== err : 9.770E-15 = rco : 9.066E-02 = res : 1.066E-14 =
477478
set of dimension 1 has degree 12
478479
the polynomials :
479-
+ x1^4 - 10*x1^3 + 35*x1^2 - 50*x1 + (9.98263256449285E-01-5.89107021114901E-02*i)*zz1 + 24;
480-
x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2 + (8.25826300922299E-02-9.96584220829855E-01*i)*zz1 + 6;
481-
x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2 - 6*x1 - 6*x3 + (1.55033404443160E-01-9.87909228374127E-01*i)*zz1 + 4;
482-
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4 + x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4 + (-8.97158012682676E-01-4.41709746642829E-01*i)*zz1 + 1;
483-
+ (-3.53404925407865E-01-1.02449352102111E-02*i)*x1 + (-3.23378971672498E-01-1.42919700111768E-01*i)*x2 + (2.20216662912369E-01-2.76594687902244E-01*i)*x3 + (8.35397253138817E-02-3.43542012415485E-01*i)*x4 + (-2.67791727313329E-01-2.30841050904175E-01*i)*zz1 - 3.53553390593274E-01;
480+
+ x1^4 - 10*x1^3 + 35*x1^2 - 50*x1
481+
+ (9.98263256449285E-01-5.89107021114901E-02*i)*zz1 + 24;
482+
x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2
483+
+ (8.25826300922299E-02-9.96584220829855E-01*i)*zz1 + 6;
484+
x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2 - 6*x1
485+
- 6*x3 + (1.55033404443160E-01-9.87909228374127E-01*i)*zz1 + 4;
486+
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4
487+
+ x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4
488+
+ (-8.97158012682676E-01-4.41709746642829E-01*i)*zz1 + 1;
489+
+ (-3.53404925407865E-01-1.02449352102111E-02*i)*x1
490+
+ (-3.23378971672498E-01-1.42919700111768E-01*i)*x2
491+
+ (2.20216662912369E-01-2.76594687902244E-01*i)*x3
492+
+ (8.35397253138817E-02-3.43542012415485E-01*i)*x4
493+
+ (-2.67791727313329E-01-2.30841050904175E-01*i)*zz1 - 3.53553390593274E-01;
484494
the generic points :
485495
Solution 1 :
486496
t : 1.00000000000000E+00 0.00000000000000E+00
@@ -604,12 +614,32 @@ The output is rather extensive ...
604614
== err : 6.181E-15 = rco : 3.233E-02 = res : 1.200E-14 =
605615
set of dimension 2 has degree 1
606616
the polynomials :
607-
x1^4 - 10*x1^3 + 35*x1^2 - 50*x1 + (9.98263256449285E-01-5.89107021114901E-02*i)*zz1 + (-4.67731979750726E-01 + 8.83870349722439E-01*i)*zz2 + 24;
608-
x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2 + (8.25826300922299E-02-9.96584220829855E-01*i)*zz1 + (-8.21936276409882E-01 + 5.69579456723519E-01*i)*zz2 + 6;
609-
+ x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2 - 6*x1 - 6*x3 + (1.55033404443160E-01-9.87909228374127E-01*i)*zz1 + (-6.80008285278479E-01-7.33204427122902E-01*i)*zz2 + 4;
610-
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4 + x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4 + (-8.97158012682676E-01-4.41709746642829E-01*i)*zz1 + (-2.11981526746876E-01 + 9.77273673193985E-01*i)*zz2 + 1;
611-
+ (-3.53404925407865E-01-1.02449352102111E-02*i)*x1 + (-3.23378971672498E-01-1.42919700111768E-01*i)*x2 + (2.20216662912369E-01-2.76594687902244E-01*i)*x3 + (8.35397253138817E-02-3.43542012415485E-01*i)*x4 + (-2.67791727313329E-01-2.30841050904175E-01*i)*zz1 + (3.28014183926858E-01-1.31934435015266E-01*i)*zz2 - 3.53553390593274E-01;
612-
+ (-4.95361781887585E-01 + 5.82835865995319E-03*i)*x1 + (1.04868230499720E-01 + 2.82848378492330E-01*i)*x2 + (-1.92957771968200E-01 + 1.72592823677708E-01*i)*x3 + (1.50836540788987E-01-4.65440876777183E-01*i)*x4 + (2.59311098918677E-01-3.82322947183237E-02*i)*zz1 + (-2.61338053548032E-01-1.91269889240060E-01*i)*zz2+(2.54532009330191E-01 + 1.49441343387202E-02*i);
617+
x1^4 - 10*x1^3 + 35*x1^2 - 50*x1
618+
+ (9.98263256449285E-01-5.89107021114901E-02*i)*zz1
619+
+ (-4.67731979750726E-01 + 8.83870349722439E-01*i)*zz2 + 24;
620+
x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2
621+
+ (8.25826300922299E-02-9.96584220829855E-01*i)*zz1
622+
+ (-8.21936276409882E-01 + 5.69579456723519E-01*i)*zz2 + 6;
623+
+ x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2 - 6*x1 - 6*x3
624+
+ (1.55033404443160E-01-9.87909228374127E-01*i)*zz1
625+
+ (-6.80008285278479E-01-7.33204427122902E-01*i)*zz2 + 4;
626+
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4
627+
+ x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4
628+
- x1 - x2 - x3 - x4 + (-8.97158012682676E-01-4.41709746642829E-01*i)*zz1
629+
+ (-2.11981526746876E-01 + 9.77273673193985E-01*i)*zz2 + 1;
630+
+ (-3.53404925407865E-01-1.02449352102111E-02*i)*x1
631+
+ (-3.23378971672498E-01-1.42919700111768E-01*i)*x2
632+
+ (2.20216662912369E-01-2.76594687902244E-01*i)*x3
633+
+ (8.35397253138817E-02-3.43542012415485E-01*i)*x4
634+
+ (-2.67791727313329E-01-2.30841050904175E-01*i)*zz1
635+
+ (3.28014183926858E-01-1.31934435015266E-01*i)*zz2 - 3.53553390593274E-01;
636+
+ (-4.95361781887585E-01 + 5.82835865995319E-03*i)*x1
637+
+ (1.04868230499720E-01 + 2.82848378492330E-01*i)*x2i
638+
+ (-1.92957771968200E-01 + 1.72592823677708E-01*i)*x3
639+
+ (1.50836540788987E-01-4.65440876777183E-01*i)*x4
640+
+ (2.59311098918677E-01-3.82322947183237E-02*i)*zz1
641+
+ (-2.61338053548032E-01-1.91269889240060E-01*i)*zz2
642+
+ (2.54532009330191E-01 + 1.49441343387202E-02*i);
613643
the generic points :
614644
Solution 1 :
615645
t : 1.00000000000000E+00 0.00000000000000E+00
@@ -624,13 +654,46 @@ The output is rather extensive ...
624654
== err : 4.130E-14 = rco : 4.252E-02 = res : 6.734E-15 =
625655
set of dimension 3 has degree 1
626656
the polynomials :
627-
x1^4 - 10*x1^3 + 35*x1^2 - 50*x1 + (9.98263256449285E-01-5.89107021114901E-02*i)*zz1 + (-4.67731979750726E-01 + 8.83870349722439E-01*i)*zz2 + (-3.46149707492286E-01-9.38179289903057E-01*i)*zz3 + 24;
628-
+ x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2 + (8.25826300922299E-02-9.96584220829855E-01*i)*zz1 + (-8.21936276409882E-01 + 5.69579456723519E-01*i)*zz2 + (-9.94974897178992E-01-1.00124692177572E-01*i)*zz3 + 6;
629-
+ x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2 - 6*x1 - 6*x3 + (1.55033404443160E-01-9.87909228374127E-01*i)*zz1 + (-6.80008285278479E-01-7.33204427122902E-01*i)*zz2 + (9.94504055917016E-01 + 1.04698055209280E-01*i)*zz3 + 4;
630-
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4 + x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4 + (-8.97158012682676E-01-4.41709746642829E-01*i)*zz1 + (-2.11981526746876E-01 + 9.77273673193985E-01*i)*zz2 + (7.37616926767541E-01 + 6.75219423110746E-01*i)*zz3 + 1;
631-
+ (-3.53404925407865E-01-1.02449352102111E-02*i)*x1 + (-3.23378971672498E-01-1.42919700111768E-01*i)*x2 + (2.20216662912369E-01-2.76594687902244E-01*i)*x3 + (8.35397253138817E-02-3.43542012415485E-01*i)*x4 + (-2.67791727313329E-01-2.30841050904175E-01*i)*zz1 + (3.28014183926858E-01-1.31934435015266E-01*i)*zz2 + (-1.52787277524516E-01 + 3.18835455723868E-01*i)*zz3 - 3.53553390593274E-01;
632-
+ (-4.95361781887585E-01 + 5.82835865995319E-03*i)*x1 + (1.04868230499720E-01 + 2.82848378492330E-01*i)*x2 + (-1.92957771968200E-01 + 1.72592823677708E-01*i)*x3 + (1.50836540788987E-01-4.65440876777183E-01*i)*x4 + (2.59311098918677E-01-3.82322947183237E-02*i)*zz1 + (-2.61338053548032E-01-1.91269889240060E-01*i)*zz2 + (-3.36536283081467E-01-7.29526150129006E-02*i)*zz3+(2.54532009330191E-01 + 1.49441343387202E-02*i);
633-
+ (1.15184561011707E-01 + 1.13377932381136E-01*i)*x1 + (-5.17726679477236E-01-8.32947479684604E-02*i)*x2 + (-3.72758479505006E-01-2.38502017467544E-02*i)*x3 + (-9.43470497132125E-02-1.99900948005935E-01*i)*x4 + (-2.38409509176001E-01-2.75632135792588E-01*i)*zz1 + (-1.20802218865972E-01 + 2.04083624753821E-01*i)*zz2 + (1.70161843122080E-02-4.70880850401632E-01*i)*zz3+(8.75322932557317E-02-3.02958515664302E-01*i);
657+
x1^4 - 10*x1^3 + 35*x1^2 - 50*x1
658+
+ (9.98263256449285E-01-5.89107021114901E-02*i)*zz1
659+
+ (-4.67731979750726E-01 + 8.83870349722439E-01*i)*zz2
660+
+ (-3.46149707492286E-01-9.38179289903057E-01*i)*zz3 + 24;
661+
+ x1*x2^3 - 6*x1*x2^2 - x2^3 + 11*x1*x2 + 6*x2^2 - 6*x1 - 11*x2
662+
+ (8.25826300922299E-02-9.96584220829855E-01*i)*zz1
663+
+ (-8.21936276409882E-01 + 5.69579456723519E-01*i)*zz2
664+
+ (-9.94974897178992E-01-1.00124692177572E-01*i)*zz3 + 6;
665+
+ x1^2*x3^2 - 3*x1^2*x3 - 3*x1*x3^2 + 2*x1^2 + 9*x1*x3 + 2*x3^2
666+
- 6*x1 - 6*x3 + (1.55033404443160E-01-9.87909228374127E-01*i)*zz1
667+
+ (-6.80008285278479E-01-7.33204427122902E-01*i)*zz2
668+
+ (9.94504055917016E-01 + 1.04698055209280E-01*i)*zz3 + 4;
669+
x1*x2*x3*x4 - x1*x2*x3 - x1*x2*x4 - x1*x3*x4 - x2*x3*x4
670+
+ x1*x2 + x1*x3 + x1*x4 + x2*x3 + x2*x4 + x3*x4 - x1 - x2 - x3 - x4
671+
+ (-8.97158012682676E-01-4.41709746642829E-01*i)*zz1
672+
+ (-2.11981526746876E-01 + 9.77273673193985E-01*i)*zz2
673+
+ (7.37616926767541E-01 + 6.75219423110746E-01*i)*zz3 + 1;
674+
+ (-3.53404925407865E-01-1.02449352102111E-02*i)*x1
675+
+ (-3.23378971672498E-01-1.42919700111768E-01*i)*x2
676+
+ (2.20216662912369E-01-2.76594687902244E-01*i)*x3
677+
+ (8.35397253138817E-02-3.43542012415485E-01*i)*x4
678+
+ (-2.67791727313329E-01-2.30841050904175E-01*i)*zz1
679+
+ (3.28014183926858E-01-1.31934435015266E-01*i)*zz2
680+
+ (-1.52787277524516E-01 + 3.18835455723868E-01*i)*zz3 - 3.53553390593274E-01;
681+
+ (-4.95361781887585E-01 + 5.82835865995319E-03*i)*x1
682+
+ (1.04868230499720E-01 + 2.82848378492330E-01*i)*x2
683+
+ (-1.92957771968200E-01 + 1.72592823677708E-01*i)*x3
684+
+ (1.50836540788987E-01-4.65440876777183E-01*i)*x4
685+
+ (2.59311098918677E-01-3.82322947183237E-02*i)*zz1
686+
+ (-2.61338053548032E-01-1.91269889240060E-01*i)*zz2
687+
+ (-3.36536283081467E-01-7.29526150129006E-02*i)*zz3
688+
+ (2.54532009330191E-01 + 1.49441343387202E-02*i);
689+
+ (1.15184561011707E-01 + 1.13377932381136E-01*i)*x1
690+
+ (-5.17726679477236E-01-8.32947479684604E-02*i)*x2
691+
+ (-3.72758479505006E-01-2.38502017467544E-02*i)*x3
692+
+ (-9.43470497132125E-02-1.99900948005935E-01*i)*x4
693+
+ (-2.38409509176001E-01-2.75632135792588E-01*i)*zz1
694+
+ (-1.20802218865972E-01 + 2.04083624753821E-01*i)*zz2
695+
+ (1.70161843122080E-02-4.70880850401632E-01*i)*zz3
696+
+ (8.75322932557317E-02-3.02958515664302E-01*i);
634697
the generic points :
635698
Solution 1 :
636699
t : 1.00000000000000E+00 0.00000000000000E+00

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