////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page59.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(6,5,10694)

Problem:
10695*x_1+10699*x_2+10698*x_3+10696*x_4+10697*x_5=10694 (mod 10700)
10706*x_1+10707*x_2+10701*x_3+10702*x_4+10705*x_5=10704 (mod 10703)
10709*x_1+10711*x_2+10708*x_3+10710*x_4+10712*x_5=10714 (mod 10713)
10721*x_1+10717*x_2+10715*x_3+10718*x_4+10719*x_5=10720 (mod 10716)
10725*x_1+10722*x_2+10727*x_3+10724*x_4+10726*x_5=10723 (mod 10728)
10731*x_1+10733*x_2+10732*x_3+10734*x_4+10735*x_5=10729 (mod 10730)

Solution:
x_1=274595434719117621108
x_2=433060915559573477176
x_3=419994422417689794675
x_4=186664187741195464300
x_5=425594348049925658604