////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page53.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(7,5,10578)

Problem:
10578*x_1+10583*x_2+10584*x_3+10579*x_4+10580*x_5=10582 (mod 10581)
10587*x_1+10586*x_2+10589*x_3+10585*x_4+10591*x_5=10588 (mod 10590)
10596*x_1+10593*x_2+10598*x_3+10594*x_4+10597*x_5=10595 (mod 10592)
10600*x_1+10602*x_2+10604*x_3+10603*x_4+10599*x_5=10605 (mod 10601)
10609*x_1+10612*x_2+10611*x_3+10606*x_4+10610*x_5=10607 (mod 10608)
10615*x_1+10616*x_2+10614*x_3+10619*x_4+10613*x_5=10617 (mod 10618)
10623*x_1+10625*x_2+10622*x_3+10621*x_4+10620*x_5=10626 (mod 10624)

Solution:
x_1=9480267637985352485325083
x_2=13665516455316508143757725
x_3=12631990000712738620280250
x_4=13435843909849003805207175
x_5=6775340091291377987241225