////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page54.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(11,5,10588)

Problem:
10591*x_1+10589*x_2+10594*x_3+10593*x_4+10592*x_5=10590 (mod 10588)
10595*x_1+10599*x_2+10601*x_3+10596*x_4+10598*x_5=10600 (mod 10597)
10603*x_1+10604*x_2+10608*x_3+10607*x_4+10605*x_5=10602 (mod 10606)
10613*x_1+10615*x_2+10609*x_3+10614*x_4+10610*x_5=10612 (mod 10611)
10619*x_1+10618*x_2+10621*x_3+10620*x_4+10617*x_5=10616 (mod 10622)
10626*x_1+10628*x_2+10629*x_3+10623*x_4+10624*x_5=10627 (mod 10625)
10635*x_1+10636*x_2+10633*x_3+10630*x_4+10634*x_5=10631 (mod 10632)
10638*x_1+10639*x_2+10641*x_3+10637*x_4+10643*x_5=10640 (mod 10642)
10647*x_1+10650*x_2+10648*x_3+10645*x_4+10644*x_5=10649 (mod 10646)
10655*x_1+10654*x_2+10653*x_3+10652*x_4+10657*x_5=10651 (mod 10656)
10659*x_1+10658*x_2+10663*x_3+10661*x_4+10660*x_5=10662 (mod 10664)

Solution:
x_1=259451706829420272820487458803658295674
x_2=436218302033912790224053720016109688145
x_3=413596803720950384479756049141169934360
x_4=548648821262485203901717208044409096600
x_5=256387814551507508746379387605368097065