////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page41.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(6,5,10475)

Problem:
10481*x_1+10475*x_2+10476*x_3+10480*x_4+10478*x_5=10479 (mod 10477)
10485*x_1+10482*x_2+10487*x_3+10488*x_4+10484*x_5=10486 (mod 10483)
10494*x_1+10492*x_2+10489*x_3+10491*x_4+10493*x_5=10495 (mod 10490)
10501*x_1+10497*x_2+10496*x_3+10502*x_4+10499*x_5=10500 (mod 10498)
10506*x_1+10507*x_2+10504*x_3+10505*x_4+10509*x_5=10508 (mod 10503)
10516*x_1+10510*x_2+10513*x_3+10514*x_4+10515*x_5=10511 (mod 10512)

Solution:
x_1=118039328473863741315
x_2=270435605096776142100
x_3=150671265696775279170
x_4=75335632848387639585
x_5=226006898545162918755