[sage-support] Re: Grobner bases of ideals

2016-12-24 Thread Dima Pasechnik


On Thursday, December 22, 2016 at 12:17:37 PM UTC, Simon King wrote:
>
> On 2016-12-21, jack > wrote: 
> >> Try removing the semi-colon;;; 
>
> No. I tried the example, using different term orders (the OP uses lex, 
> I also tried degrevlex), but it didn't finish within 15 minutes. So, I'd 
> say that simply the problem is very difficult. On the other hand, the 
> given polynomials have an easy form, in particular they are all 
> binomials. So, it might work to use a special machinery for binomial 
> ideals - I don't think that Singular has an optimisation for it. 
>
> as I posted in another thread, 4ti2 (also the Sage package)
supports binomial (aka toric) ideals,
so this seems to be the right tool for the job here.

 

> Best regards, 
> Simon 
>
>

-- 
You received this message because you are subscribed to the Google Groups 
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-support+unsubscr...@googlegroups.com.
To post to this group, send email to sage-support@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/d/optout.


[sage-support] Re: Grobner bases of ideals

2016-12-22 Thread Simon King
On 2016-12-21, jack  wrote:
>> Try removing the semi-colon;;;

No. I tried the example, using different term orders (the OP uses lex,
I also tried degrevlex), but it didn't finish within 15 minutes. So, I'd
say that simply the problem is very difficult. On the other hand, the
given polynomials have an easy form, in particular they are all
binomials. So, it might work to use a special machinery for binomial
ideals - I don't think that Singular has an optimisation for it.

Best regards,
Simon

-- 
You received this message because you are subscribed to the Google Groups 
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-support+unsubscr...@googlegroups.com.
To post to this group, send email to sage-support@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/d/optout.


[sage-support] Re: Grobner bases of ideals

2016-12-21 Thread jack


On Wednesday, 21 December 2016 07:14:51 UTC-5, NITIN DARKUNDE wrote:
>
> Respected Sir,
> I am trying to find Groebner basis of an ideal in 
> polynomial ring in 35 variables over GF(2)(As per suggestions earlier, I am 
> working over GF(2) instead of GF(3))  but I am not able to see the output 
> using sage. Even it do not shows any error in it. So,how to get the 
> output?(Even I tried singular, but can't succeed.)
>
> -- 
> --
> Yours faithfully,
> ---
>
>
>
>
>
>
>
>
> *Mr. Nitin Shridhar Darkunde.Assistant Professor,Department of 
> Mathematics,School of Mathematical Sciences,Swami Ramanand Teerth 
> Marathwada University,Vishnupuri, Nanded-431 606 (M.S.), India.Mob. 
> No:08275268895Or   
>  09273500312*
> Try removing the semi-colon;;;
>

Best regards,
 Jack Fearnley
 

-- 
You received this message because you are subscribed to the Google Groups 
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-support+unsubscr...@googlegroups.com.
To post to this group, send email to sage-support@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/d/optout.


[sage-support] Re: Grobner bases of ideals

2016-12-21 Thread David Joyner
On Wed, Dec 21, 2016 at 7:14 AM, NITIN DARKUNDE  wrote:
> Respected Sir,
> I am trying to find Groebner basis of an ideal in
> polynomial ring in 35 variables over GF(2)(As per suggestions earlier, I am
> working over GF(2) instead of GF(3))  but I am not able to see the output


What happened when you replace 35 variables by <10 vars (also
suggested earlier)? Do you get what you expeced in that case?

> using sage. Even it do not shows any error in it. So,how to get the
> output?(Even I tried singular, but can't succeed.)
>
> --
> --
> Yours faithfully,
> ---
> Mr. Nitin Shridhar Darkunde.
> Assistant Professor,
> Department of Mathematics,
> School of Mathematical Sciences,
> Swami Ramanand Teerth Marathwada University,
> Vishnupuri, Nanded-431 606 (M.S.), India.
> Mob. No:08275268895Or09273500312
> 
>
>

-- 
You received this message because you are subscribed to the Google Groups 
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-support+unsubscr...@googlegroups.com.
To post to this group, send email to sage-support@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/d/optout.


[sage-support] Re: Grobner bases of ideals

2016-12-21 Thread David Joyner
On Wed, Dec 21, 2016 at 7:28 AM, David Joyner  wrote:
> On Wed, Dec 21, 2016 at 7:14 AM, NITIN DARKUNDE  
> wrote:
>> Respected Sir,
>> I am trying to find Groebner basis of an ideal in
>> polynomial ring in 35 variables over GF(2)(As per suggestions earlier, I am
>> working over GF(2) instead of GF(3))  but I am not able to see the output
>> using sage. Even it do not shows any error in it. So,how to get the
>> output?(Even I tried singular, but can't succeed.)
>>
>
> Please copy and paste your input and output into an email, or save it
> to a file and attach the file.
>


I copy+pasted this from a word doc the OP emailed me privately.


P.=PolynomialRing(FiniteField(2),order='lex');
I=Ideal([x1*x21*x22*x23*x24*x25*x26*x27*x28*x29*x30*x31*x32*x33*x34*x35-1,x2*x14*x15*x16*x17*x18*x19*x20*x21*x22*x23*x24*x25*x26*x27*x28-1,x3*x11*x12*x13*x15*x17*x19*x20*x21*x22*x23*x24*x29*x30*x31*x35-1,x4*x8*x9*x10*x14*x18*x19*x20*x23*x24*x25*x27*
 
x29*x30*x32*x34-1,x5*x7*x8*x10*x12*x13*x19*x20*x22*x24*x25*x26*x29*x31*x32*x33-1,x6*x7*x9*x10*x11*x13*x16*x17*x18*x20*x22*x23*x25*x26*x29*x30-1,x1^2-1,x2^2-1,x3^2-1,x4^2-1,x5^2-1,x6^2-1,x7^2-1,x8^2-1,x9^2-1,x10^2-1,x11^2-1,x12^2-1,x13^2-1,x14^2-1,
 
x15^2-1,x16^2-1,x17^2-1,x18^2-1,x19^2-1,x20^2-1,x21^2-1,x22^2-1,x23^2-1,x24^2-1,x25^2-1,x26^2-1,x27^2-1,x28^2-1,x29^2-1,x30^2-1,x31^2-1,x32^2-1,x33^2-1,x34^2-1,x35^2-1]);
I.groebner_basis();



>> --
>> --
>> Yours faithfully,
>> ---
>> Mr. Nitin Shridhar Darkunde.
>> Assistant Professor,
>> Department of Mathematics,
>> School of Mathematical Sciences,
>> Swami Ramanand Teerth Marathwada University,
>> Vishnupuri, Nanded-431 606 (M.S.), India.
>> Mob. No:08275268895Or09273500312
>> 
>>
>>

-- 
You received this message because you are subscribed to the Google Groups 
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-support+unsubscr...@googlegroups.com.
To post to this group, send email to sage-support@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/d/optout.


[sage-support] Re: Grobner bases of ideals

2016-12-21 Thread David Joyner
On Wed, Dec 21, 2016 at 7:14 AM, NITIN DARKUNDE  wrote:
> Respected Sir,
> I am trying to find Groebner basis of an ideal in
> polynomial ring in 35 variables over GF(2)(As per suggestions earlier, I am
> working over GF(2) instead of GF(3))  but I am not able to see the output
> using sage. Even it do not shows any error in it. So,how to get the
> output?(Even I tried singular, but can't succeed.)
>

Please copy and paste your input and output into an email, or save it
to a file and attach the file.

> --
> --
> Yours faithfully,
> ---
> Mr. Nitin Shridhar Darkunde.
> Assistant Professor,
> Department of Mathematics,
> School of Mathematical Sciences,
> Swami Ramanand Teerth Marathwada University,
> Vishnupuri, Nanded-431 606 (M.S.), India.
> Mob. No:08275268895Or09273500312
> 
>
>

-- 
You received this message because you are subscribed to the Google Groups 
"sage-support" group.
To unsubscribe from this group and stop receiving emails from it, send an email 
to sage-support+unsubscr...@googlegroups.com.
To post to this group, send email to sage-support@googlegroups.com.
Visit this group at https://groups.google.com/group/sage-support.
For more options, visit https://groups.google.com/d/optout.