////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page60.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(6,5,10702)

Problem:
10704*x_1+10703*x_2+10702*x_3+10707*x_4+10705*x_5=10706 (mod 10708)
10709*x_1+10712*x_2+10714*x_3+10713*x_4+10710*x_5=10715 (mod 10711)
10722*x_1+10720*x_2+10718*x_3+10717*x_4+10716*x_5=10721 (mod 10719)
10723*x_1+10728*x_2+10729*x_3+10725*x_4+10726*x_5=10727 (mod 10724)
10734*x_1+10731*x_2+10736*x_3+10733*x_4+10730*x_5=10732 (mod 10735)
10741*x_1+10739*x_2+10743*x_3+10738*x_4+10740*x_5=10737 (mod 10742)

Solution:
x_1=1126775798181636129
x_2=620219924935870560
x_3=1828356653717201755
x_4=373793258331886275
x_5=1653919799828988160