////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page22.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(5^(1/3),7^(1/3),Sec(1),13,4,8)

Problem:
17099759*x_1+46676696*x_2+98935310*x_3+88725438*x_4=19129311 (mod 18508157)
60109868*x_1+5511054*x_2+30549243*x_3+82861707*x_4=82772389 (mod 17680925)
44429592*x_1+5041732*x_2+16257187*x_3+1002018*x_4=10119911 (mod 61791175)
90022045*x_1+3289390*x_2+45401808*x_3+71975766*x_4=68395487 (mod 32413986)
46800785*x_1+37471389*x_2+38944150*x_3+32333156*x_4=60282862 (mod 50193470)
3146226*x_1+49791507*x_2+4341969*x_3+33923315*x_4=43905034 (mod 39665509)
56442948*x_1+85399529*x_2+8198277*x_3+39186320*x_4=58757662 (mod 40092988)
96566299*x_1+57587801*x_2+16286757*x_3+87911005*x_4=10647640 (mod 35158277)
28363520*x_1+61669998*x_2+10212515*x_3+54183202*x_4=44723427 (mod 85881541)
47714835*x_1+87819065*x_2+74844469*x_3+84173464*x_4=61792307 (mod 12615967)
20196304*x_1+12982047*x_2+34890260*x_3+76823089*x_4=56007525 (mod 5921841)
7173126*x_1+87715144*x_2+51537574*x_3+34397202*x_4=44147728 (mod 41328730)
27229969*x_1+98677923*x_2+39071355*x_3+32335626*x_4=57099045 (mod 66711491)

Solution:
x_1=7487698930979831162045166976652255837039120574217809693065871997787194060634331697377
x_2=1104037145223555478763989400931001031135789559700064760966345923568671593018329157565
x_3=18308828165771836092868463304281934925036663786383184323463115444817705000230731109853
x_4=6897278719587990493020872973137406267161808584254746487041153933280101376066419033252