////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den5/Page8.txt
//
////////////////////////////////////////////////////////////////

Generator:
C(_Pi,_E,11^(1/2),13,5,5)

Problem:
31415*x_1+92653*x_2+58979*x_3+32384*x_4+62643*x_5=27182 (mod 33166)
38327*x_1+95028*x_2+84197*x_3+16939*x_4+93751*x_5=81828 (mod 24790)
5820*x_1+97494*x_2+45923*x_3+7816*x_4+40628*x_5=45904 (mod 35539)
62089*x_1+98628*x_2+3482*x_3+53421*x_4+17067*x_5=52353 (mod 98491)
98214*x_1+80865*x_2+13282*x_3+30664*x_4+70938*x_5=60287 (mod 14932)
44609*x_1+55058*x_2+22317*x_3+25359*x_4+40812*x_5=47135 (mod 73667)
84811*x_1+17450*x_2+28410*x_3+27019*x_4+38521*x_5=26624 (mod 6866)
10555*x_1+96446*x_2+22948*x_3+95493*x_4+3819*x_5=97757 (mod 83927)
64428*x_1+81097*x_2+56659*x_3+33446*x_4+12847*x_5=24709 (mod 8854)
56482*x_1+33786*x_2+78316*x_3+52712*x_4+1909*x_5=36999 (mod 55893)
14564*x_1+85669*x_2+23460*x_3+34861*x_4+4543*x_5=59574 (mod 53597)
26648*x_1+21339*x_2+36072*x_3+60249*x_4+14127*x_5=96696 (mod 5868)
37245*x_1+87006*x_2+60631*x_3+55881*x_4+74881*x_5=76277 (mod 21461)

Solution:
x_1=447303572793733275186281706040952386394444026537989
x_2=32299347943580298204540497192270305967662034560785
x_3=0
x_4=121077602146354106478971633411174311023932491145685
x_5=0