////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page45.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10512)

Problem:
10512*x_1+10513*x_2+10516*x_3+10518*x_4+10515*x_5=10514 (mod 10517)
10520*x_1+10519*x_2+10524*x_3+10521*x_4+10525*x_5=10523 (mod 10522)
10532*x_1+10529*x_2+10531*x_3+10528*x_4+10526*x_5=10527 (mod 10530)
10535*x_1+10534*x_2+10533*x_3+10537*x_4+10539*x_5=10538 (mod 10536)
10544*x_1+10546*x_2+10545*x_3+10542*x_4+10541*x_5=10540 (mod 10543)
10548*x_1+10552*x_2+10553*x_3+10549*x_4+10547*x_5=10551 (mod 10550)
10554*x_1+10556*x_2+10558*x_3+10559*x_4+10557*x_5=10560 (mod 10555)
10565*x_1+10567*x_2+10566*x_3+10564*x_4+10562*x_5=10563 (mod 10561)

Solution:
x_1=208904886485075541781253800
x_2=140661068224329796642390177
x_3=196155651757506569652695600
x_4=180369152386611349149824550
x_5=40809780288590835980826225