////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page38.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(3^(1/3),2^(1/3),Log(2),16,6,5)

Problem:
14422*x_1+49570*x_2+30740*x_3+83823*x_4+21638*x_5+31078*x_6=12599 (mod 69314)
1095*x_1+88391*x_2+86925*x_3+34993*x_4+50577*x_5+54641*x_6=21049 (mod 71805)
61945*x_1+41687*x_2+59682*x_3+99973*x_4+39854*x_5+75547*x_6=89487 (mod 59945)
97056*x_1+45256*x_2+68683*x_3+50808*x_4+54489*x_5+54996*x_6=31647 (mod 30941)
64254*x_1+23946*x_2+11025*x_3+97148*x_4+68950*x_5+15718*x_6=67210 (mod 72321)
52372*x_1+27090*x_2+33202*x_3+38475*x_4+98445*x_5+6108*x_6=60727 (mod 21458)
55400*x_1+27260*x_2+8814*x_3+54988*x_4+72751*x_5+36735*x_6=82283 (mod 17656)
53524*x_1+67866*x_2+7471*x_3+56884*x_4+39223*x_5+31891*x_6=50570 (mod 80755)
82017*x_1+3899*x_2+82382*x_3+23321*x_4+29616*x_5+63550*x_6=25146 (mod 134)
85262*x_1+67349*x_2+13350*x_3+16654*x_4+54895*x_5+78817*x_6=47015 (mod 36025)
58552*x_1+74175*x_2+59336*x_3+31318*x_4+74146*x_5+72006*x_6=7980 (mod 52541)
4638*x_1+46664*x_2+75693*x_3+74364*x_4+19755*x_5+57494*x_6=8197 (mod 20680)
24906*x_1+82081*x_2+9426*x_3+71235*x_4+90626*x_5+57636*x_6=51121 (mod 949)
89646*x_1+37361*x_2+61782*x_3+16558*x_4+42587*x_5+48238*x_6=55299 (mod 33936)
56595*x_1+23587*x_2+19031*x_3+96104*x_4+7139*x_5+53060*x_6=67651 (mod 21969)
28102*x_1+85350*x_2+84436*x_3+38035*x_4+19455*x_5+1338*x_6=39594 (mod 69471)

Solution:
x_1=27946236479643409299854034368240270665355558128279486280400
x_2=22990601721350956400545275538670270629778414534305868514827
x_3=17660679466738685022592154958809141909007673343830452002529
x_4=27874084459551418529633401200048163735903677205322761594353
x_5=14180030903087226201391112965588539048761478612226205549554
x_6=1773160589029988456083549694659552400502778448175748193025