kk = ZZ/32003
S = kk[a..e]

I = ideal(
     490*a^3+12221*a^2*b+1663*a*b^2-14146*b^3-6390*a^2*c-8829*a*b*c
       +6322*b^2*c-9839*a*c^2-7186*b*c^2-4124*c^3-6141*a^2*d+15804*a*b*d
       -10963*b^2*d-14244*a*c*d+3292*b*c*d+12528*c^2*d+1470*a*d^2
       +9748*b*d^2-4690*c*d^2-11431*d^3-10463*a^2*e+965*a*b*e
       +15018*b^2*e+3510*a*c*e-13207*b*c*e-12332*c^2*e+5496*a*d*e
       -1110*b*d*e-14202*c*d*e+4737*d^2*e+11286*a*e^2+3759*b*e^2
       -12124*c*e^2-8044*d*e^2-8400*e^3,
     -4212*a^3-6354*a^2*b+8359*a*b^2-15620*b^3-7605*a^2*c+14070*a*b*c
       +1533*b^2*c-6538*a*c^2+1929*b*c^2+6483*c^3+2503*a^2*d
       -13769*a*b*d-10716*b^2*d+15442*a*c*d-10241*b*c*d+4046*c^2*d
       -7595*a*d^2-4553*b*d^2-5535*c*d^2-12507*d^3-8300*a^2*e
       +9255*a*b*e-166*b^2*e-3948*a*c*e-887*b*c*e+12166*c^2*e
       -12019*a*d*e-4986*b*d*e-9965*c*d*e-2795*d^2*e-11300*a*e^2
       -9200*b*e^2+2201*c*e^2+771*d*e^2-10878*e^3,
     -13422*a^3-13098*a^2*b+165*a*b^2-15751*b^3-9062*a^2*c
       +3931*a*b*c+10465*b^2*c+3947*a*c^2+15856*b*c^2-13765*c^3
       +12661*a^2*d-759*a*b*d+2367*b^2*d-5578*a*c*d-10985*b*c*d
       +987*c^2*d-9772*a*d^2-1366*b*d^2+2179*c*d^2-13964*d^3
       -11350*a^2*e-1598*a*b*e+2754*b^2*e-9928*a*c*e+13439*b*c*e
       +15037*c^2*e-9065*a*d*e+12521*b*d*e+9348*c*d*e-10519*d^2*e
       -13803*a*e^2+6223*b*e^2-6660*c*e^2+9736*d*e^2+5263*e^3,
     14635*a^3+2059*a^2*b-5482*a*b^2-14747*b^3+1035*a^2*c-4988*a*b*c
       +11895*b^2*c+13195*a*c^2+7097*b*c^2-8995*c^3+1144*a^2*d
       -11329*a*b*d-14481*b^2*d-4991*a*c*d+14404*b*c*d+10242*c^2*d
       -6921*a*d^2-6661*b*d^2-15585*c*d^2+9999*d^3+4902*a^2*e
       -12029*a*b*e-681*b^2*e-2020*a*c*e+14081*b*c*e+15876*c^2*e
       +7994*a*d*e+7138*b*d*e-3671*c*d*e+11424*d^2*e+380*a*e^2
       -11858*b*e^2+9754*c*e^2+13383*d*e^2+6735*e^3);