////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page52.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10572)

Problem:
10573*x_1+10575*x_2+10576*x_3+10578*x_4+10577*x_5=10574 (mod 10572)
10585*x_1+10580*x_2+10583*x_3+10584*x_4+10582*x_5=10579 (mod 10581)
10591*x_1+10592*x_2+10589*x_3+10590*x_4+10588*x_5=10587 (mod 10586)
10596*x_1+10595*x_2+10594*x_3+10599*x_4+10597*x_5=10598 (mod 10593)
10603*x_1+10606*x_2+10600*x_3+10601*x_4+10604*x_5=10605 (mod 10602)
10612*x_1+10608*x_2+10610*x_3+10607*x_4+10611*x_5=10609 (mod 10613)
10616*x_1+10619*x_2+10618*x_3+10615*x_4+10614*x_5=10620 (mod 10617)
10624*x_1+10627*x_2+10621*x_3+10625*x_4+10626*x_5=10623 (mod 10622)

Solution:
x_1=1443318658424651904359120745
x_2=3891087678348911225903184729
x_3=1023970441670766112079785455
x_4=3071911325012298336239356365
x_5=2275489870379480249066189900