Computed 78519 primes, largest is 1000253 Extra primes in list: Enter quartic coefficients a,b,c,d,e ? Quartic is (-33,-2159,-52689,-568174,-2282844) I = 73947 J = 0 Bad primes: [ 2 3 157 ] Attempting to minimize the quartic. First partial minimization without assuming local solvability: p=2: minimal already p=3: minimal already p=157: minimal already Result has coefficients: (-33,-2159,-52689,-568174,-2282844) I = 73947 J = 0 Bad primes: [ 2 3 157 ] Now check local solvability: Everywhere locally soluble Final minimization of I, J: p=2: minimal already p=3: minimal already p=157: minimal already Result has coefficients: (-33,-2159,-52689,-568174,-2282844) I = 73947 J = 0 Bad primes: [ 2 3 157 ] transform = [1,0;0,1] / 1 Attempting to reduce the quartic. Finished reducing g, new coefficients: (-33,-47,255,434,132) I = 73947 J = 0 extra reducing transform = [-17,-18;1,1] total transform = [-17,-18;1,1] / 1 OK Enter quartic coefficients a,b,c,d,e ?