////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page50.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10542)

Problem:
10548*x_1+10544*x_2+10542*x_3+10545*x_4+10543*x_5=10547 (mod 10546)
10552*x_1+10555*x_2+10550*x_3+10551*x_4+10553*x_5=10549 (mod 10554)
10561*x_1+10558*x_2+10560*x_3+10556*x_4+10557*x_5=10562 (mod 10559)
10563*x_1+10566*x_2+10569*x_3+10564*x_4+10565*x_5=10568 (mod 10567)
10573*x_1+10574*x_2+10575*x_3+10572*x_4+10576*x_5=10571 (mod 10570)
10577*x_1+10578*x_2+10583*x_3+10579*x_4+10581*x_5=10580 (mod 10582)
10586*x_1+10590*x_2+10585*x_3+10584*x_4+10589*x_5=10588 (mod 10587)
10592*x_1+10594*x_2+10597*x_3+10595*x_4+10596*x_5=10591 (mod 10593)

Solution:
x_1=1562063464675408185902544624
x_2=1121723118921901540212824227
x_3=301227531758616956653760600
x_4=406657167874132891482576810
x_5=1016642919685332228706442025