////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page46.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10530)

Problem:
10535*x_1+10533*x_2+10530*x_3+10534*x_4+10532*x_5=10531 (mod 10536)
10541*x_1+10537*x_2+10540*x_3+10543*x_4+10542*x_5=10538 (mod 10539)
10548*x_1+10547*x_2+10546*x_3+10550*x_4+10545*x_5=10549 (mod 10544)
10552*x_1+10555*x_2+10551*x_3+10557*x_4+10553*x_5=10556 (mod 10554)
10562*x_1+10564*x_2+10558*x_3+10561*x_4+10559*x_5=10560 (mod 10563)
10569*x_1+10565*x_2+10566*x_3+10567*x_4+10571*x_5=10570 (mod 10568)
10572*x_1+10573*x_2+10576*x_3+10574*x_4+10578*x_5=10575 (mod 10577)
10585*x_1+10579*x_2+10584*x_3+10581*x_4+10582*x_5=10580 (mod 10583)

Solution:
x_1=44839893712949736569952809152
x_2=44398480752947773148626698535
x_3=32145492209955482681910726984
x_4=40181865262444353352388408730
x_5=140636528418555236733359430555