////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page38.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(11,5,10457)

Problem:
10461*x_1+10463*x_2+10458*x_3+10460*x_4+10459*x_5=10462 (mod 10457)
10470*x_1+10465*x_2+10466*x_3+10468*x_4+10464*x_5=10469 (mod 10467)
10473*x_1+10475*x_2+10472*x_3+10476*x_4+10474*x_5=10471 (mod 10477)
10482*x_1+10479*x_2+10478*x_3+10483*x_4+10484*x_5=10480 (mod 10481)
10488*x_1+10490*x_2+10486*x_3+10487*x_4+10489*x_5=10491 (mod 10485)
10492*x_1+10493*x_2+10498*x_3+10495*x_4+10494*x_5=10496 (mod 10497)
10505*x_1+10503*x_2+10501*x_3+10500*x_4+10504*x_5=10499 (mod 10502)
10507*x_1+10509*x_2+10508*x_3+10511*x_4+10512*x_5=10506 (mod 10510)
10513*x_1+10517*x_2+10518*x_3+10515*x_4+10514*x_5=10519 (mod 10516)
10524*x_1+10526*x_2+10525*x_3+10521*x_4+10520*x_5=10523 (mod 10522)
10531*x_1+10529*x_2+10533*x_3+10530*x_4+10528*x_5=10527 (mod 10532)

Solution:
x_1=13991681728032513583422438084177104106
x_2=942244823482917814167557886310710816
x_3=14428123859582179029440730134132759370
x_4=19581025238004385825669562324894459145
x_5=29886827994848799418127226706417858695