////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den9/Page2.txt
//
////////////////////////////////////////////////////////////////

Generator:
C(_E,_E,14^(1/2),8,5,5)

Problem:
27182*x_1+81828*x_2+45904*x_3+52353*x_4+60287*x_5=27182 (mod 37416)
47135*x_1+26624*x_2+97757*x_3+24709*x_4+36999*x_5=81828 (mod 57386)
59574*x_1+96696*x_2+76277*x_3+24076*x_4+63035*x_5=45904 (mod 77394)
35475*x_1+94571*x_2+38217*x_3+85251*x_4+66427*x_5=52353 (mod 13855)
42746*x_1+63919*x_2+32003*x_3+5992*x_4+18174*x_5=60287 (mod 83748)
13596*x_1+62904*x_2+35729*x_3+334*x_4+29526*x_5=47135 (mod 73231)
5956*x_1+30738*x_2+13232*x_3+86279*x_4+43490*x_5=26624 (mod 65493)
76323*x_1+38298*x_2+80753*x_3+19525*x_4+10190*x_5=97757 (mod 1756)

Solution:
x_1=84998259334512453472705691777435
x_2=99730837151516601993000392020368
x_3=132388424317050617496050199877465
x_4=80178904868072909187748712601845
x_5=117471418760199843693678346370145