////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page43.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(_Pi^2,_E,Sec(1),29,8,3)

Problem:
986*x_1+960*x_2+440*x_3+108*x_4+935*x_5+861*x_6+883*x_7+449*x_8=271 (mod 185)
99*x_1+987*x_2+615*x_3+113*x_4+531*x_5+369*x_6+940*x_7+724*x_8=828 (mod 81)
79*x_1+62*x_2+641*x_3+334*x_4+937*x_5+622*x_6+4*x_7+482*x_8=182 (mod 571)
241*x_1+920*x_2+524*x_3+300*x_4+177*x_5+340*x_6+371*x_7+855*x_8=845 (mod 768)
223*x_1+182*x_2+402*x_3+591*x_4+377*x_5+402*x_6+314*x_7+407*x_8=904 (mod 92)
777*x_1+234*x_2+812*x_3+203*x_4+4*x_5+672*x_6+761*x_7+61*x_8=523 (mod 561)
767*x_1+798*x_2+519*x_3+766*x_4+99*x_5+39*x_6+985*x_7+620*x_8=536 (mod 791)
657*x_1+563*x_2+57*x_3+150*x_4+604*x_5+123*x_6+284*x_7+32*x_8=28 (mod 175)
878*x_1+86*x_2+935*x_3+276*x_4+934*x_5+216*x_6+493*x_7+966*x_8=747 (mod 324)
657*x_1+151*x_2+904*x_3+453*x_4+873*x_5+526*x_6+177*x_7+941*x_8=135 (mod 139)
382*x_1+25*x_2+826*x_3+58*x_4+169*x_5+341*x_6+251*x_7+559*x_8=266 (mod 865)
204*x_1+830*x_2+981*x_3+887*x_4+327*x_5+3*x_6+307*x_7+626*x_8=249 (mod 19)
667*x_1+110*x_2+435*x_3+895*x_4+87*x_5+150*x_6+410*x_7+32*x_8=775 (mod 347)
578*x_1+853*x_2+659*x_3+527*x_4+635*x_5+775*x_6+283*x_7+792*x_8=724 (mod 39)
268*x_1+331*x_2+874*x_3+508*x_4+640*x_5+454*x_6+635*x_7+412*x_8=709 (mod 665)
502*x_1+697*x_2+372*x_3+956*x_4+695*x_5+833*x_6+422*x_7+785*x_8=369 (mod 509)
815*x_1+636*x_3+522*x_4+709*x_5+547*x_6+249*x_7+85*x_8=995 (mod 400)
975*x_1+607*x_2+266*x_3+926*x_4+475*x_5+277*x_6+900*x_7+528*x_8=957 (mod 929)
533*x_1+645*x_2+220*x_3+666*x_4+980*x_5+826*x_6+415*x_7+896*x_8=496 (mod 883)
877*x_1+105*x_2+732*x_3+788*x_4+929*x_5+174*x_6+690*x_7+154*x_8=696 (mod 515)
551*x_1+6*x_2+925*x_3+443*x_4+245*x_5+703*x_6+644*x_7+965*x_8=762 (mod 827)
617*x_1+253*x_2+792*x_3+860*x_4+760*x_5+600*x_6+814*x_7+597*x_8=772 (mod 785)
258*x_1+922*x_2+923*x_3+241*x_4+424*x_5+4*x_6+429*x_7+598*x_8=407 (mod 881)
136*x_1+181*x_2+441*x_3+370*x_4+677*x_5+777*x_6+819*x_7+473*x_8=663 (mod 541)
965*x_1+830*x_2+317*x_3+85*x_4+663*x_5+278*x_6+957*x_7+75*x_8=35 (mod 126)
340*x_1+799*x_2+171*x_3+452*x_4+315*x_5+892*x_6+637*x_7+211*x_8=354 (mod 159)
446*x_1+382*x_2+826*x_3+443*x_4+285*x_5+280*x_6+379*x_7+285*x_8=759 (mod 670)
34*x_1+809*x_2+523*x_3+389*x_4+950*x_5+396*x_6+857*x_7+460*x_8=457 (mod 592)
948*x_1+534*x_2+600*x_3+901*x_4+774*x_5+293*x_6+220*x_7+579*x_8=138 (mod 184)

Solution:
x_1=166018387553012698690479800151613070338450883946316
x_2=479046332006355356759584867216919414090820662190600
x_3=68454949553948972997289331542825965050458983613696
x_4=250952014634026370454927042683482375558220975391750
x_5=170087765458652571650706925493842824156787392344576
x_6=517029750696817153218891919504495259264453216714504
x_7=443737762311289038743656853331424208537265343449603
x_8=667704560308936841329581280964841742874372180483328