////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Den1/Page20.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(3^(1/2),Cos(1),2^(1/2),23,7,4)

Problem:
1732*x_1+508*x_2+756*x_3+8877*x_4+2935*x_5+2744*x_6+6341*x_7=5403 (mod 1414)
5058*x_1+7236*x_2+6942*x_3+8052*x_4+5381*x_5+380*x_6+6280*x_7=230 (mod 2135)
5580*x_1+6979*x_2+4519*x_3+3301*x_4+6908*x_5+8000*x_6+3708*x_7=5868 (mod 6237)
1146*x_1+1867*x_2+5724*x_3+8575*x_4+6756*x_5+2614*x_6+1415*x_7=1397 (mod 3095)
4067*x_1+302*x_2+9969*x_3+9450*x_4+9499*x_5+8952*x_6+4788*x_7=1740 (mod 488)
1165*x_1+5512*x_2+943*x_3+7364*x_4+8528*x_5+932*x_6+3190*x_7=936 (mod 168)
2305*x_1+5820*x_2+6797*x_3+4820*x_4+1010*x_5+8467*x_6+4923*x_7=6074 (mod 8724)
2650*x_1+1531*x_2+2343*x_3+2669*x_4+332*x_5+2886*x_6+6506*x_7=4297 (mod 2096)
7225*x_1+4668*x_2+9218*x_3+3797*x_4+1227*x_5+471*x_6+3166*x_7=6603 (mod 9807)
367*x_1+8615*x_2+8801*x_3+9049*x_4+9865*x_5+3737*x_6+9859*x_7=7323 (mod 8569)
3894*x_1+6765*x_2+347*x_3+5065*x_4+7605*x_5+756*x_6+6183*x_7=1042 (mod 6718)
4812*x_1+9606*x_2+1009*x_3+4760*x_4+2187*x_5+1903*x_6+2508*x_7=617 (mod 7537)
3145*x_1+8295*x_2+2395*x_3+9832*x_4+9977*x_5+8982*x_6+4508*x_7=9222 (mod 6948)
2887*x_1+1446*x_2+3832*x_3+9173*x_4+4722*x_5+4163*x_6+9845*x_7=2767 (mod 731)
8785*x_1+5397*x_2+6679*x_3+5806*x_4+3818*x_5+3536*x_6+6611*x_7=97 (mod 7667)
843*x_1+1737*x_2+8089*x_3+4378*x_4+3161*x_5+208*x_6+8305*x_7=2553 (mod 9737)
5249*x_1+167*x_2+23*x_3+5207*x_4+1114*x_5+4288*x_6+6959*x_7=8110 (mod 9907)
9095*x_1+6365*x_2+7970*x_3+8716*x_4+8498*x_5+728*x_6+9949*x_7=394 (mod 3247)
3296*x_1+4842*x_2+8302*x_3+786*x_4+4086*x_5+398*x_6+8738*x_7=7744 (mod 8462)
6975*x_1+3758*x_2+2317*x_3+3178*x_4+3139*x_5+5992*x_6+9830*x_7=7176 (mod 1070)
783*x_1+8702*x_2+8770*x_3+5391*x_4+3369*x_5+5633*x_6+1210*x_7=4517 (mod 3885)
3707*x_1+2640*x_2+1924*x_3+9106*x_4+7682*x_5+3119*x_6+9288*x_7=9518 (mod 387)
3756*x_1+4114*x_2+1422*x_3+167*x_4+4275*x_5+2102*x_6+3729*x_7=5608 (mod 5343)

Solution:
x_1=11505977834272226213953766225787184334981225670135971
x_2=12324111754850192102978594740534835001144358395493316
x_3=2687150913702675565602471017017923562191156642242401
x_4=1355075817544501471960775307364846127013514823690512
x_5=10517662433320103336650567859282942798121766224535570
x_6=1542922616646150573069524652525068092285068241074945
x_7=9138849344750276471257953711110018700457711889443905