////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den1/Page48.txt
//
////////////////////////////////////////////////////////////////

Generator:
L(Sin(1),Sec(1),5^(1/2),17,7,4)

Problem:
8414*x_1+7098*x_2+4807*x_3+8965*x_4+665*x_5+2502*x_6+3216*x_7=1850 (mod 2236)
3029*x_1+8999*x_2+6225*x_3+6306*x_4+798*x_5+3710*x_6+6567*x_7=8157 (mod 679)
2751*x_1+7099*x_2+9191*x_3+404*x_4+3912*x_5+3966*x_6+8948*x_7=1768 (mod 7749)
6397*x_1+4354*x_2+3052*x_3+6958*x_4+5434*x_5+9037*x_6+9079*x_7=925 (mod 9789)
2067*x_1+4293*x_2+2591*x_3+1892*x_4+991*x_5+8988*x_6+8119*x_7=6179 (mod 6964)
3410*x_1+3277*x_2+2921*x_3+2409*x_4+4807*x_5+9195*x_6+5826*x_7=1175 (mod 917)
7666*x_1+699*x_2+9907*x_3+7640*x_4+1197*x_5+8408*x_6+7827*x_7=3241 (mod 3668)
3256*x_1+6347*x_2+4848*x_3+287*x_4+298*x_5+6561*x_6+5701*x_7=3986 (mod 7312)
7962*x_1+4553*x_2+9489*x_3+3572*x_4+9246*x_5+7012*x_6+7086*x_7=5019 (mod 7623)
4862*x_1+8105*x_2+3382*x_3+305*x_4+6137*x_5+7218*x_6+2038*x_7=3470 (mod 5440)
6844*x_1+9667*x_2+7616*x_3+7426*x_4+6239*x_5+133*x_6+8275*x_7=3966 (mod 6183)
3397*x_1+9567*x_2+6425*x_3+5565*x_4+4779*x_5+6398*x_6+9764*x_7=5509 (mod 5961)
8243*x_1+2869*x_2+275*x_3+6964*x_4+2912*x_5+630*x_6+583*x_7=4009 (mod 1525)
365*x_1+1523*x_2+312*x_3+7825*x_4+5289*x_5+8532*x_6+6485*x_7=2988 (mod 7242)
1398*x_1+1934*x_2+5213*x_3+5970*x_4+9559*x_5+6206*x_6+2172*x_7=3515 (mod 7089)
1148*x_1+1444*x_2+1781*x_3+576*x_4+107*x_5+5674*x_6+1366*x_7=8277 (mod 7245)
4805*x_1+5008*x_2+9167*x_3+2660*x_4+5804*x_5+1400*x_6+7806*x_7=8588 (mod 4105)

Solution:
x_1=125328069791634832843304263226625820902274
x_2=73304750972616885394124682022801827911477
x_3=32826241845930183350849221614552256154051
x_4=52951758418766215735763921968790789258176
x_5=101595864556854705829504509737591480769225
x_6=52213498230452966678023103451251903090625
x_7=180202319226167749886107587851905827318400