////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page51.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10566)

Problem:
10567*x_1+10571*x_2+10568*x_3+10569*x_4+10572*x_5=10566 (mod 10570)
10576*x_1+10577*x_2+10573*x_3+10579*x_4+10578*x_5=10575 (mod 10574)
10582*x_1+10586*x_2+10580*x_3+10581*x_4+10584*x_5=10583 (mod 10585)
10593*x_1+10592*x_2+10587*x_3+10588*x_4+10591*x_5=10589 (mod 10590)
10600*x_1+10596*x_2+10598*x_3+10594*x_4+10597*x_5=10599 (mod 10595)
10602*x_1+10603*x_2+10607*x_3+10605*x_4+10601*x_5=10604 (mod 10606)
10608*x_1+10610*x_2+10613*x_3+10611*x_4+10612*x_5=10609 (mod 10614)
10619*x_1+10618*x_2+10621*x_3+10616*x_4+10615*x_5=10620 (mod 10617)
10623*x_1+10628*x_2+10626*x_3+10622*x_4+10625*x_5=10624 (mod 10627)

Solution:
x_1=1348127209292512719805493287
x_2=160689903270438948165091739
x_3=645874045909332366644185070
x_4=296909262895633386457326868
x_5=1113409735858625199214975755