////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page64.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(8,5,10766)

Problem:
10766*x_1+10770*x_2+10768*x_3+10767*x_4+10772*x_5=10769 (mod 10771)
10775*x_1+10773*x_2+10779*x_3+10777*x_4+10778*x_5=10774 (mod 10776)
10781*x_1+10785*x_2+10786*x_3+10782*x_4+10780*x_5=10783 (mod 10784)
10790*x_1+10787*x_2+10792*x_3+10791*x_4+10793*x_5=10789 (mod 10788)
10794*x_1+10798*x_2+10795*x_3+10797*x_4+10800*x_5=10796 (mod 10799)
10803*x_1+10801*x_2+10804*x_3+10807*x_4+10806*x_5=10802 (mod 10805)
10812*x_1+10809*x_2+10808*x_3+10814*x_4+10813*x_5=10810 (mod 10811)
10817*x_1+10820*x_2+10819*x_3+10816*x_4+10821*x_5=10815 (mod 10818)

Solution:
x_1=567413985517965157001409550
x_2=337044475048358315628983915
x_3=135061143430930588573347345
x_4=810366860585583531440084070
x_5=675305717154652942866736725