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solving systems of polynomials with parameters(symbols) http://www.singular.unikl.de/forum/viewtopic.php?f=10&t=1500 
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Author:  kamlesh [ Mon Jun 12, 2006 11:58 pm ] 
Post subject:  solving systems of polynomials with parameters(symbols) 
Hello , I have a system of polynomial equations in variables as well as in parameters . I want to solve it in variables ( in terms of a parameters and a chosen variable ) . Tried using the solve command after computing the grobner basis . It says the system has parameters and refused to solve it . Whereas the same problem was solved using mathematica . I need to do it using singular , can somebody tell me where am I wrong ? // The actual problem f1 = D + 2AC + A^2 + 2B  c = 0 ; f2 = A^2 + 2BD + 2ABC + B^2  d = 0 ; f3 = B^2D  e =0 ; f4 = ADBC = 0; with B,C,D,A as variables in lex ordr and c,d,e are parameters . mathematica gives a 6th deg polynomial in B with coeffs ( coming from the parameters ) , and other var expressed in terms of B and parameters . // Can anybody suggest other useful topics to look into for dealing with similar problems ? kamlesh 
Author:  kamlesh [ Tue Jun 20, 2006 6:11 pm ] 
Post subject:  
hmmm yeah was finally able to extract the required information . The trick is to find the groebner basis with various ordering of the variables ( all in lp ) and then use the necessary polynomials and get the answer kamlesh 
Author:  momo [ Tue Dec 17, 2013 11:13 am ] 
Post subject:  Re: write in code 
kamlesh wrote: hmmm yeah was finally able to extract the required information . The trick is to find the groebner basis with various ordering of the variables ( all in lp ) and then use the necessary polynomials and get the answer kamlesh Yeah, I have the same problem. I tried it, but not enough memory. I define such thing: ring r=(0,c,d,e),(A,B,C,D),lp; ideal i=f1,f2,f3,f4; groebner (i); will it work like that? momo 
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