////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den2/Page58.txt
//
////////////////////////////////////////////////////////////////

Generator:
K(19,6,4,3228)

Problem:
2788*x_1+478*x_2+1673*x_3+478*x_4+371*x_5+956*x_6=2618 (mod 3346)
817*x_1+4028*x_2+2064*x_3+2064*x_4+774*x_5+2032*x_6=1234 (mod 4128)
3427*x_1+3220*x_2+3427*x_3+4667*x_4+5744*x_5+4508*x_6=7414 (mod 8257)
2817*x_1+2142*x_2+2817*x_3+3177*x_4+62*x_5+2191*x_6=4026 (mod 5634)
4581*x_1+2781*x_2+824*x_3+5805*x_4+5841*x_5+7308*x_6=2193 (mod 8343)
3672*x_1+2125*x_2+3740*x_3+466*x_4+1258*x_5+1165*x_6=2746 (mod 3961)
832*x_1+1243*x_2+1066*x_3+226*x_4+452*x_5+975*x_6=274 (mod 1469)
4436*x_1+2551*x_2+2551*x_3+4582*x_4+3322*x_5+2551*x_6=3121 (mod 5102)
1721*x_1+1721*x_2+6585*x_3+2360*x_4+2435*x_5+6390*x_6=5907 (mod 8605)
3069*x_1+6897*x_2+4800*x_3+4840*x_4+8649*x_5+8019*x_6=7514 (mod 9207)
5299*x_1+5125*x_2+5740*x_3+579*x_4+4905*x_5+3731*x_6=4242 (mod 8610)
135*x_1+315*x_2+1755*x_3+1042*x_4+90*x_5+315*x_6=1814 (mod 2605)
1574*x_1+1152*x_2+1811*x_3+1811*x_4+1811*x_5+2410*x_6=1577 (mod 3622)
2106*x_1+807*x_2+572*x_3+663*x_4+2152*x_5+1345*x_6=1980 (mod 3497)
3565*x_1+341*x_2+775*x_3+262*x_4+3286*x_5+1703*x_6=3428 (mod 4061)
4421*x_1+7028*x_2+4421*x_3+4421*x_4+4421*x_5+470*x_6=535 (mod 8842)
3363*x_1+399*x_2+609*x_3+2233*x_4+2842*x_5+3654*x_6=825 (mod 4263)
2486*x_1+2040*x_2+3926*x_3+2896*x_4+1991*x_5+1854*x_6=1823 (mod 3982)
934*x_1+1607*x_2+1607*x_3+420*x_4+1607*x_5+2188*x_6=2728 (mod 3214)

Solution:
x_1=729299140899606544307654627793127819019504617354104579596
x_2=78298960388869802445516565405579217455244765502067299296
x_3=190724890977236368862684900594621840103845719048188123585
x_4=581568207227738822570501412962303953120714356336210779297
x_5=156421274271216851942141515953098949725115895696167937345
x_6=180463253808159100532869149334884556798615682321195646880