////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page61.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(6,5,10748)

Problem:
10751*x_1+10753*x_2+10748*x_3+10749*x_4+10750*x_5=10754 (mod 10752)
10761*x_1+10760*x_2+10757*x_3+10759*x_4+10756*x_5=10758 (mod 10755)
10763*x_1+10766*x_2+10762*x_3+10767*x_4+10765*x_5=10768 (mod 10764)
10774*x_1+10769*x_2+10775*x_3+10772*x_4+10771*x_5=10773 (mod 10770)
10776*x_1+10779*x_2+10781*x_3+10778*x_4+10782*x_5=10780 (mod 10777)
10786*x_1+10783*x_2+10788*x_3+10789*x_4+10787*x_5=10785 (mod 10784)

Solution:
x_1=94523317971001373277
x_2=197244576545351063729
x_3=49517466915150894660
x_4=253364372382522077677
x_5=38788682416868200817