////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page15.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(Tan(1),_E,3^(1/3),23,7,4)

Problem:
1557*x_1+4077*x_2+2465*x_3+4902*x_4+2305*x_5+697*x_6+4807*x_7=2718 (mod 1442)
4583*x_1+6017*x_2+3087*x_3+2507*x_4+7238*x_5+1520*x_6+383*x_7=2818 (mod 2495)
8394*x_1+6605*x_2+6988*x_3+6139*x_4+7151*x_5+7272*x_6+8955*x_7=2845 (mod 7030)
5099*x_1+9652*x_2+224*x_3+2983*x_4+8046*x_5+3382*x_6+1411*x_7=9045 (mod 7408)
7481*x_1+6661*x_2+3323*x_3+5546*x_4+1812*x_5+4558*x_6+9376*x_7=2353 (mod 3823)
607*x_1+1684*x_2+5489*x_3+443*x_4+9293*x_5+5860*x_6+4316*x_7=6028 (mod 2163)
7147*x_1+9080*x_2+3682*x_3+4613*x_4+2747*x_5+695*x_6+5597*x_7=7471 (mod 8310)
3416*x_1+4061*x_2+775*x_3+5352*x_4+4730*x_5+2506*x_6+7968*x_7=3526 (mod 7801)
5050*x_1+7041*x_2+3523*x_3+8514*x_4+4917*x_5+6214*x_6+8162*x_7=6249 (mod 958)
7570*x_1+278*x_2+8602*x_3+2450*x_4+7720*x_5+1401*x_6+6185*x_7=7757 (mod 8391)
7721*x_1+3067*x_2+3941*x_3+6643*x_4+2236*x_5+9016*x_6+6756*x_7=2470 (mod 8692)
7179*x_1+5096*x_2+2610*x_3+8823*x_4+3022*x_5+4852*x_6+1311*x_7=9369 (mod 5349)
4835*x_1+591*x_2+6296*x_3+9258*x_4+7616*x_5+1117*x_6+3265*x_7=9959 (mod 9350)
100*x_1+4594*x_2+5634*x_3+8215*x_4+6433*x_5+5385*x_6+532*x_7=5749 (mod 5775)
5978*x_1+863*x_2+1549*x_3+8242*x_4+8906*x_5+1892*x_6+2107*x_7=6696 (mod 4641)
5884*x_1+8878*x_2+9242*x_3+2138*x_4+5209*x_5+536*x_6+5610*x_7=7627 (mod 6194)
4434*x_1+4723*x_2+6286*x_3+1925*x_4+4465*x_5+7877*x_6+8273*x_7=7240 (mod 5416)
5148*x_1+5077*x_2+3908*x_3+8807*x_4+37*x_5+2159*x_6+703*x_7=7663 (mod 8759)
879*x_1+1432*x_2+5170*x_3+5820*x_4+9136*x_5+2696*x_6+1953*x_7=353 (mod 6829)
4377*x_1+4789*x_2+4016*x_3+6007*x_4+4563*x_5+1615*x_6+7881*x_7=5475 (mod 9973)
6956*x_1+8161*x_2+4614*x_3+3618*x_4+6656*x_5+7292*x_6+2863*x_7=9457 (mod 3985)
3097*x_1+7096*x_2+7692*x_3+371*x_4+6916*x_5+172*x_6+6377*x_7=1382 (mod 4755)
8512*x_1+8672*x_2+2603*x_3+7524*x_4+4028*x_5+5158*x_6+7319*x_7=1785 (mod 4797)

Solution:
x_1=26058057926261282707542143794046893621879619964462385303731277
x_2=27862518049815501029332985525706853145741883606561648485349702
x_3=3406609937446028528092189719046160475785243499042379461552800
x_4=19846871177379117782718663755310503344488417398081109450639665
x_5=19544380036634635888163249869953109878728560798267738223560129
x_6=18933761274262234548222196995784458472691583189948821150262929
x_7=24331631133634262393301104403435336902058465247488048078210177