////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page47.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(9,5,10534)

Problem:
10538*x_1+10534*x_2+10536*x_3+10535*x_4+10540*x_5=10537 (mod 10539)
10545*x_1+10544*x_2+10543*x_3+10547*x_4+10542*x_5=10546 (mod 10541)
10549*x_1+10548*x_2+10551*x_3+10552*x_4+10554*x_5=10553 (mod 10550)
10556*x_1+10555*x_2+10557*x_3+10561*x_4+10558*x_5=10559 (mod 10560)
10563*x_1+10568*x_2+10565*x_3+10567*x_4+10562*x_5=10566 (mod 10564)
10570*x_1+10572*x_2+10575*x_3+10573*x_4+10574*x_5=10569 (mod 10571)
10580*x_1+10579*x_2+10576*x_3+10578*x_4+10582*x_5=10581 (mod 10577)
10587*x_1+10588*x_2+10586*x_3+10584*x_4+10589*x_5=10585 (mod 10583)
10593*x_1+10591*x_2+10590*x_3+10594*x_4+10596*x_5=10592 (mod 10595)

Solution:
x_1=768010870002789972420771794662
x_2=493970064178615105595325310785
x_3=272849156038158918149727998345
x_4=376632270604820592537968095875
x_5=535654784860189287165110180800