////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page42.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(7,5,10477)

Problem:
10483*x_1+10480*x_2+10482*x_3+10477*x_4+10478*x_5=10481 (mod 10479)
10484*x_1+10489*x_2+10490*x_3+10486*x_4+10488*x_5=10485 (mod 10487)
10493*x_1+10492*x_2+10495*x_3+10491*x_4+10494*x_5=10497 (mod 10496)
10498*x_1+10504*x_2+10500*x_3+10499*x_4+10502*x_5=10503 (mod 10501)
10506*x_1+10510*x_2+10507*x_3+10511*x_4+10508*x_5=10509 (mod 10505)
10514*x_1+10515*x_2+10512*x_3+10513*x_4+10516*x_5=10517 (mod 10518)
10524*x_1+10523*x_2+10519*x_3+10525*x_4+10522*x_5=10521 (mod 10520)

Solution:
x_1=130612488924998701693362
x_2=109800634887816697578754
x_3=76943365643774436431625
x_4=84829894938872763680000
x_5=8946902981834236794375