////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Den1/Page1.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(2^(1/3),Sec(1),_Pi,16,7,4)

Problem:
1259*x_1+9210*x_2+4989*x_3+4873*x_4+1647*x_5+6721*x_6+607*x_7=1850 (mod 3141)
2782*x_1+2835*x_2+570*x_3+2514*x_4+6470*x_5+1507*x_6+9800*x_7=8157 (mod 5926)
8197*x_1+5112*x_2+1552*x_3+9967*x_4+6513*x_5+9594*x_6+8372*x_7=1768 (mod 5358)
9396*x_1+5624*x_2+3625*x_3+5094*x_4+1543*x_5+1025*x_6+6035*x_7=925 (mod 9793)
6156*x_1+6525*x_2+9399*x_3+240*x_4+4061*x_5+3737*x_6+2284*x_7=6179 (mod 2384)
5911*x_1+304*x_2+2693*x_3+5524*x_4+6960*x_5+6426*x_6+1662*x_7=1175 (mod 6264)
5000*x_1+9774*x_2+7452*x_3+6565*x_4+4803*x_5+686*x_6+7185*x_7=3241 (mod 3383)
4055*x_1+1868*x_2+9245*x_3+8725*x_4+1676*x_5+4199*x_6+3737*x_7=3986 (mod 2795)
969*x_1+5098*x_2+3827*x_3+8316*x_4+1399*x_5+1551*x_6+2931*x_7=5019 (mod 288)
3695*x_1+3661*x_2+8394*x_3+7463*x_4+4485*x_5+7657*x_6+303*x_7=3470 (mod 4197)
1190*x_1+9589*x_2+5984*x_3+7411*x_4+598*x_5+1162*x_6+9070*x_7=3966 (mod 1693)
5359*x_1+816*x_2+4780*x_3+1147*x_4+3521*x_5+3254*x_6+8477*x_7=5509 (mod 9937)
1297*x_1+8802*x_2+4220*x_3+8582*x_4+532*x_5+5797*x_6+2526*x_7=4009 (mod 5105)
6622*x_1+266*x_2+9005*x_3+6656*x_4+819*x_5+9471*x_6+5628*x_7=2988 (mod 8209)
1764*x_1+506*x_2+664*x_3+8267*x_4+7357*x_5+2670*x_6+4194*x_7=3515 (mod 7494)
8620*x_1+7621*x_2+4429*x_3+6569*x_4+4205*x_5+793*x_6+1917*x_7=8277 (mod 4592)

Solution:
x_1=87880503288592723383951804554442992294015965
x_2=61080222848302553784395098427232049896544262
x_3=89865559376840124891832042790857628209308800
x_4=68101244215261657144591469927446796377366825
x_5=106153692013892397528476600546700573322246020
x_6=116403982380313224273951192927532771539870305
x_7=26538423003473099382119150136675143330561505