////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page48.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10536)

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

Solution:
x_1=180230700420222292812254497
x_2=133458931755700483875671729
x_3=142528956243951973071105730
x_4=51828711361437081116765720
x_5=174921900844850148769084305