////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page45.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(2^(1/3),Log(2),Log(3),18,6,4)

Problem:
1259*x_1+9210*x_2+4989*x_3+4873*x_4+1647*x_5+6721*x_6=6931 (mod 1098)
607*x_1+2782*x_2+2835*x_3+570*x_4+2514*x_5+6470*x_6=4718 (mod 6122)
1507*x_1+9800*x_2+8197*x_3+5112*x_4+1552*x_5+9967*x_6=559 (mod 8866)
6513*x_1+9594*x_2+8372*x_3+9396*x_4+5624*x_5+3625*x_6=9453 (mod 8109)
5094*x_1+1543*x_2+1025*x_3+6035*x_4+6156*x_5+6525*x_6=941 (mod 6913)
9399*x_1+240*x_2+4061*x_3+3737*x_4+2284*x_5+5911*x_6=7232 (mod 9524)
304*x_1+2693*x_2+5524*x_3+6960*x_4+6426*x_5+1662*x_6=1214 (mod 5236)
5000*x_1+9774*x_2+7452*x_3+6565*x_4+4803*x_5+686*x_6=5817 (mod 9225)
7185*x_1+4055*x_2+1868*x_3+9245*x_4+8725*x_5+1676*x_6=6568 (mod 2570)
4199*x_1+3737*x_2+969*x_3+5098*x_4+3827*x_5+8316*x_6=755 (mod 4647)
1399*x_1+1551*x_2+2931*x_3+3695*x_4+3661*x_5+8394*x_6=13 (mod 4905)
7463*x_1+4485*x_2+7657*x_3+303*x_4+1190*x_5+9589*x_6=4360 (mod 5782)
5984*x_1+7411*x_2+598*x_3+1162*x_4+9070*x_5+5359*x_6=2552 (mod 2749)
816*x_1+4780*x_2+1147*x_3+3521*x_4+3254*x_5+8477*x_6=5412 (mod 4517)
1297*x_1+8802*x_2+4220*x_3+8582*x_4+532*x_5+5797*x_6=680 (mod 3469)
2526*x_1+6622*x_2+266*x_3+9005*x_4+6656*x_5+819*x_6=94 (mod 4333)
9471*x_1+5628*x_2+1764*x_3+506*x_4+664*x_5+8267*x_6=9339 (mod 6374)
7357*x_1+2670*x_2+4194*x_3+8620*x_4+7621*x_5+4429*x_6=3621 (mod 9429)

Solution:
x_1=8386450717600171487226583807496335578285855438893428
x_2=35848414556468705493913059064903841232831444713818410
x_3=64311303867163163723073418203536442381832874839587176
x_4=66012971578976787580709484926075271605439766600853625
x_5=17484516796593851845701431142582098965765127369955825
x_6=1942724088510427982855714571398010996196125263328425