How to make a list of variables in Magma(computer algebra system)?












0














In sagemath, for making a list of variables like $ Z=[z00,z01,z02, ... ,z97,z98,z99] $ we can use this code:
sage: Z = list(var('z%i%i' % (i,j)) for i in range(10) for j in range(10))



In Magam, it is easy to make a list like $Z=[[0,0],[0,1],[0,2],...,[9,7],[9,8],[9,9]] $ with this code:
> Z := [[i,j]: j in [0..9], i in [0..9]];

, but now I try to make a list in Magma that its elemnts are variables such as $z00$ ,not lists like $[0,0]$. How can I make a list of variables in Magma?



In this regard, I found this useful appendix The Magma Language.
It introduced this code:
> printf"z%o%o" , 0, 0; for printing $z00$
, but "z%o%o" , 0, 0; is not work in a list or in a loop such as for.



('z%i%i' % (i,j) is a code that used in each part of sagemath such as a list, but in Magma “z%o%o ”, 0, 0; works only with printf and we cannot use it for making a list in Magma )










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  • 1




    What do you want to do with the generated variables?
    – Somos
    Nov 21 '18 at 13:09










  • l := [ ]; for i in [1..10] do l[i] := i; end for; l;
    – reuns
    Nov 21 '18 at 13:32












  • Thank you so much @Somos, your previous answer was correct. But now I want to make PolynomialRing with this list. For example in sagemath we can use this code: P = PolynomialRing(GF(2), [str(i) for i in Z], order='lex') for making this PolynomialRing with a list like Z. In Magma, how can I make this PolynomialRing with this list?
    – s.m.h
    Nov 21 '18 at 13:51






  • 1




    .... R := PolynomialRing(Integers(), #l); then the variables are R.i
    – reuns
    Nov 21 '18 at 14:45


















0














In sagemath, for making a list of variables like $ Z=[z00,z01,z02, ... ,z97,z98,z99] $ we can use this code:
sage: Z = list(var('z%i%i' % (i,j)) for i in range(10) for j in range(10))



In Magam, it is easy to make a list like $Z=[[0,0],[0,1],[0,2],...,[9,7],[9,8],[9,9]] $ with this code:
> Z := [[i,j]: j in [0..9], i in [0..9]];

, but now I try to make a list in Magma that its elemnts are variables such as $z00$ ,not lists like $[0,0]$. How can I make a list of variables in Magma?



In this regard, I found this useful appendix The Magma Language.
It introduced this code:
> printf"z%o%o" , 0, 0; for printing $z00$
, but "z%o%o" , 0, 0; is not work in a list or in a loop such as for.



('z%i%i' % (i,j) is a code that used in each part of sagemath such as a list, but in Magma “z%o%o ”, 0, 0; works only with printf and we cannot use it for making a list in Magma )










share|cite|improve this question




















  • 1




    What do you want to do with the generated variables?
    – Somos
    Nov 21 '18 at 13:09










  • l := [ ]; for i in [1..10] do l[i] := i; end for; l;
    – reuns
    Nov 21 '18 at 13:32












  • Thank you so much @Somos, your previous answer was correct. But now I want to make PolynomialRing with this list. For example in sagemath we can use this code: P = PolynomialRing(GF(2), [str(i) for i in Z], order='lex') for making this PolynomialRing with a list like Z. In Magma, how can I make this PolynomialRing with this list?
    – s.m.h
    Nov 21 '18 at 13:51






  • 1




    .... R := PolynomialRing(Integers(), #l); then the variables are R.i
    – reuns
    Nov 21 '18 at 14:45
















0












0








0







In sagemath, for making a list of variables like $ Z=[z00,z01,z02, ... ,z97,z98,z99] $ we can use this code:
sage: Z = list(var('z%i%i' % (i,j)) for i in range(10) for j in range(10))



In Magam, it is easy to make a list like $Z=[[0,0],[0,1],[0,2],...,[9,7],[9,8],[9,9]] $ with this code:
> Z := [[i,j]: j in [0..9], i in [0..9]];

, but now I try to make a list in Magma that its elemnts are variables such as $z00$ ,not lists like $[0,0]$. How can I make a list of variables in Magma?



In this regard, I found this useful appendix The Magma Language.
It introduced this code:
> printf"z%o%o" , 0, 0; for printing $z00$
, but "z%o%o" , 0, 0; is not work in a list or in a loop such as for.



('z%i%i' % (i,j) is a code that used in each part of sagemath such as a list, but in Magma “z%o%o ”, 0, 0; works only with printf and we cannot use it for making a list in Magma )










share|cite|improve this question















In sagemath, for making a list of variables like $ Z=[z00,z01,z02, ... ,z97,z98,z99] $ we can use this code:
sage: Z = list(var('z%i%i' % (i,j)) for i in range(10) for j in range(10))



In Magam, it is easy to make a list like $Z=[[0,0],[0,1],[0,2],...,[9,7],[9,8],[9,9]] $ with this code:
> Z := [[i,j]: j in [0..9], i in [0..9]];

, but now I try to make a list in Magma that its elemnts are variables such as $z00$ ,not lists like $[0,0]$. How can I make a list of variables in Magma?



In this regard, I found this useful appendix The Magma Language.
It introduced this code:
> printf"z%o%o" , 0, 0; for printing $z00$
, but "z%o%o" , 0, 0; is not work in a list or in a loop such as for.



('z%i%i' % (i,j) is a code that used in each part of sagemath such as a list, but in Magma “z%o%o ”, 0, 0; works only with printf and we cannot use it for making a list in Magma )







math-software sagemath magma-cas






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edited Nov 21 '18 at 14:33









Arnaud D.

15.7k52443




15.7k52443










asked Nov 21 '18 at 10:35









s.m.h

102




102








  • 1




    What do you want to do with the generated variables?
    – Somos
    Nov 21 '18 at 13:09










  • l := [ ]; for i in [1..10] do l[i] := i; end for; l;
    – reuns
    Nov 21 '18 at 13:32












  • Thank you so much @Somos, your previous answer was correct. But now I want to make PolynomialRing with this list. For example in sagemath we can use this code: P = PolynomialRing(GF(2), [str(i) for i in Z], order='lex') for making this PolynomialRing with a list like Z. In Magma, how can I make this PolynomialRing with this list?
    – s.m.h
    Nov 21 '18 at 13:51






  • 1




    .... R := PolynomialRing(Integers(), #l); then the variables are R.i
    – reuns
    Nov 21 '18 at 14:45
















  • 1




    What do you want to do with the generated variables?
    – Somos
    Nov 21 '18 at 13:09










  • l := [ ]; for i in [1..10] do l[i] := i; end for; l;
    – reuns
    Nov 21 '18 at 13:32












  • Thank you so much @Somos, your previous answer was correct. But now I want to make PolynomialRing with this list. For example in sagemath we can use this code: P = PolynomialRing(GF(2), [str(i) for i in Z], order='lex') for making this PolynomialRing with a list like Z. In Magma, how can I make this PolynomialRing with this list?
    – s.m.h
    Nov 21 '18 at 13:51






  • 1




    .... R := PolynomialRing(Integers(), #l); then the variables are R.i
    – reuns
    Nov 21 '18 at 14:45










1




1




What do you want to do with the generated variables?
– Somos
Nov 21 '18 at 13:09




What do you want to do with the generated variables?
– Somos
Nov 21 '18 at 13:09












l := [ ]; for i in [1..10] do l[i] := i; end for; l;
– reuns
Nov 21 '18 at 13:32






l := [ ]; for i in [1..10] do l[i] := i; end for; l;
– reuns
Nov 21 '18 at 13:32














Thank you so much @Somos, your previous answer was correct. But now I want to make PolynomialRing with this list. For example in sagemath we can use this code: P = PolynomialRing(GF(2), [str(i) for i in Z], order='lex') for making this PolynomialRing with a list like Z. In Magma, how can I make this PolynomialRing with this list?
– s.m.h
Nov 21 '18 at 13:51




Thank you so much @Somos, your previous answer was correct. But now I want to make PolynomialRing with this list. For example in sagemath we can use this code: P = PolynomialRing(GF(2), [str(i) for i in Z], order='lex') for making this PolynomialRing with a list like Z. In Magma, how can I make this PolynomialRing with this list?
– s.m.h
Nov 21 '18 at 13:51




1




1




.... R := PolynomialRing(Integers(), #l); then the variables are R.i
– reuns
Nov 21 '18 at 14:45






.... R := PolynomialRing(Integers(), #l); then the variables are R.i
– reuns
Nov 21 '18 at 14:45












1 Answer
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Try this as an example of what can be done.



v := ["z" * IntegerToString(i) : i in [0..3] ];
Z := IntegerRing();
S := PolynomialRing(Z, 4);
AssignNames(~S, v);
p := S.1 + 2*S.2^2 + 3*S.3^3 + 4*S.4^4;
p;





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    0














    Try this as an example of what can be done.



    v := ["z" * IntegerToString(i) : i in [0..3] ];
    Z := IntegerRing();
    S := PolynomialRing(Z, 4);
    AssignNames(~S, v);
    p := S.1 + 2*S.2^2 + 3*S.3^3 + 4*S.4^4;
    p;





    share|cite|improve this answer




























      0














      Try this as an example of what can be done.



      v := ["z" * IntegerToString(i) : i in [0..3] ];
      Z := IntegerRing();
      S := PolynomialRing(Z, 4);
      AssignNames(~S, v);
      p := S.1 + 2*S.2^2 + 3*S.3^3 + 4*S.4^4;
      p;





      share|cite|improve this answer


























        0












        0








        0






        Try this as an example of what can be done.



        v := ["z" * IntegerToString(i) : i in [0..3] ];
        Z := IntegerRing();
        S := PolynomialRing(Z, 4);
        AssignNames(~S, v);
        p := S.1 + 2*S.2^2 + 3*S.3^3 + 4*S.4^4;
        p;





        share|cite|improve this answer














        Try this as an example of what can be done.



        v := ["z" * IntegerToString(i) : i in [0..3] ];
        Z := IntegerRing();
        S := PolynomialRing(Z, 4);
        AssignNames(~S, v);
        p := S.1 + 2*S.2^2 + 3*S.3^3 + 4*S.4^4;
        p;






        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited Nov 21 '18 at 15:33

























        answered Nov 21 '18 at 12:27









        Somos

        13k11034




        13k11034






























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