////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page37.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(Cos(1),3^(1/3),Log(5),27,7,4)

Problem:
5403*x_1+230*x_2+5868*x_3+1397*x_4+1740*x_5+936*x_6+6074*x_7=1442 (mod 1609)
4297*x_1+6603*x_2+7323*x_3+1042*x_4+617*x_5+9222*x_6+2767*x_7=2495 (mod 4379)
97*x_1+2553*x_2+8110*x_3+394*x_4+7744*x_5+7176*x_6+4517*x_7=7030 (mod 1243)
9518*x_1+5608*x_2+7183*x_3+893*x_4+4357*x_5+1731*x_6+1600*x_7=7408 (mod 4100)
3008*x_1+9097*x_2+8606*x_3+3376*x_4+21*x_5+6634*x_6+5640*x_7=3823 (mod 3746)
6512*x_1+2654*x_2+1731*x_3+8584*x_4+7179*x_5+7116*x_6+4474*x_7=2163 (mod 75)
4794*x_1+9423*x_2+3117*x_3+9245*x_4+5139*x_5+3254*x_6+3359*x_7=8310 (mod 9333)
4351*x_1+7756*x_2+7028*x_3+9259*x_4+6375*x_5+7361*x_6+5432*x_7=7801 (mod 2261)
7549*x_1+6417*x_2+5449*x_3+1775*x_4+1151*x_5+3122*x_6+2730*x_7=958 (mod 8763)
1006*x_1+3135*x_2+7078*x_3+2322*x_4+3677*x_5+1401*x_6+5174*x_7=8391 (mod 9525)
6899*x_1+5936*x_2+6787*x_3+3067*x_4+4227*x_5+6202*x_6+4507*x_7=8692 (mod 6013)
7637*x_1+4406*x_2+7587*x_3+4981*x_4+6178*x_5+4272*x_6+216*x_7=5349 (mod 5426)
4558*x_1+5111*x_2+5632*x_3+9688*x_4+9057*x_5+1081*x_6+2427*x_7=9350 (mod 8517)
2933*x_1+1698*x_2+6852*x_3+4714*x_4+5689*x_5+4904*x_6+3423*x_7=5775 (mod 7219)
7543*x_1+3094*x_2+4230*x_3+2409*x_4+3596*x_5+2395*x_6+8318*x_7=4641 (mod 1264)
2454*x_1+7281*x_2+7366*x_3+4078*x_4+712*x_5+4343*x_6+3621*x_7=6194 (mod 7891)
7481*x_1+32*x_2+2027*x_3+1297*x_4+5788*x_5+2291*x_6+7644*x_7=5416 (mod 4741)
6835*x_1+9872*x_2+6994*x_3+2649*x_4+1344*x_5+3918*x_6+2656*x_7=8759 (mod 7898)
9453*x_1+5157*x_2+5076*x_3+2782*x_4+5138*x_5+499*x_6+1607*x_7=6829 (mod 7707)
3063*x_1+8031*x_2+7214*x_3+4503*x_4+4986*x_5+1294*x_6+8833*x_7=9973 (mod 6577)
6335*x_1+6557*x_2+7990*x_3+9793*x_4+152*x_5+8792*x_6+7884*x_7=3985 (mod 6463)
389*x_1+8009*x_2+7454*x_3+8251*x_4+499*x_5+2453*x_6+7987*x_7=4755 (mod 133)
7400*x_1+6145*x_2+3776*x_3+3713*x_4+8783*x_5+3594*x_6+2345*x_7=4797 (mod 8780)
2416*x_1+8164*x_2+2836*x_3+1882*x_4+8482*x_5+3748*x_6+9632*x_7=564 (mod 9317)
7390*x_1+5562*x_2+6091*x_3+2017*x_4+5898*x_5+2750*x_6+2528*x_7=5256 (mod 9610)
5999*x_1+1743*x_2+8580*x_3+6924*x_4+8558*x_5+4232*x_6+2178*x_7=6868 (mod 7999)
2685*x_1+8271*x_2+882*x_3+9156*x_4+4683*x_5+67*x_6+9687*x_7=3508 (mod 6630)

Solution:
x_1=3698276967875516795089417378478028922658273304123303333788891209061433
x_2=71932066364036584477130698010035601104480908950967058450470130619969
x_3=573577918101002189097355251291600869480558452729856421970602863470530
x_4=3266628391817365618705772344896582029509405592409972162807450711457104
x_5=3730786673052579046039000888426192587544609735038867375469158506510800
x_6=428123060842099234791360757688251608406758494184788059480067369599600
x_7=856246121684198469582721515376503216813516988369576118960134739199200