I'd guess that the header_row is used to determined the column width,
without checking the rest of the table.
(That's how it works in LaTeX, anyway.)

PS. I also notice  that documentation for table() is rather patchy, and
does not even tell you about the
possibility of having anything except True/False/None in the header row.
(There are examples there thate tell
that it's possible)...



On Mon, Nov 21, 2022 at 8:58 AM Gaurish Telang <gaurish...@gmail.com> wrote:

>
>> Both the display in a console and the LaTeX display given by `view` are
>> single-lined. I can reproduce your problem in Jupyter ; therefore, I think
>> that the question should be directed to a Jupyter-centered mailing list,
>> newsgroup, forum or whatever...
>
> I just wanted to add, I noticed that the bad alignment goes away if I
> remove the header_row argument in the call to table
>
> Thus, I get the expected output with the following code (without the
> column names of course): see attachment.
>
> R = IntegerModRing(3)
> x = PolynomialRing(R, 'x').gen()
>
> rows  = []
> for k in range(1,10):
>     f = x^k - 1
>     factor = f.factor()
>     rows.append((f,factor))
>
> table(rows, frame=True)
>
> I wonder how the header_row argument messes up the alignment for Latex in
> the other rows of the table.
>
> On Mon, Nov 21, 2022 at 1:20 PM Emmanuel Charpentier <
> emanuel.charpent...@gmail.com> wrote:
>
>>
>> Le dimanche 20 novembre 2022 à 19:16:44 UTC+1, gauri...@gmail.com a
>> écrit :
>>
>>> Thanks! I will ask on the Jupyter mailing list.
>>>
>>>>
>>>> Also is it possible for me to write [image: x^k-1] for various powers
>>>> of [image: k] in latex in place of [image: x^k+2]. i.e. I want to
>>>> write -1 wherever there is a 2 in the left column. Sure I can do this with
>>>> print, but the output won’t be Latex rendered.
>>>
>>>
>>> I apologize that it was terribly worded.   It was just a dumb question
>>> that occured while trying to understand how the `table` function outputs
>>> data into a jupyter notebook cell.
>>>
>>> I basically wanted the left hand-side to contain [image: x^k-1] in
>>> place of [image: x^k+2] for different values of [image: k] i.e. [image:
>>> x-1] in place of [image: x+2]
>>>  [image: x^2-1] in place of [image: x^2+2] and so on.  I *know* of
>>> course -1 and 2  are identical in Z/3Z, but I was wondering if there was a
>>> way to *display* (-1) in place of 2 while using the `table` command and
>>> working Z/3Z.
>>>
>>
>> I doubt it : Sage is strngly opinionated (you could say asinine) about
>> its presentation choices, and, for example, systematically rewrite
>> `1/sqrt(2)` as `sqrt(2)/2`. Even if you sacrifice a goat ;-)...
>>
>>
>>> Regards
>>> G
>>>
>>> On Sun, Nov 20, 2022 at 3:36 PM Emmanuel Charpentier <
>>> emanuel.c...@gmail.com> wrote:
>>>
>>>> > How can I ask Sage to place each factorization in the right column on
>>>> a single line.
>>>>
>>>> Both the display in a console and the LaTeX display given by `view` are
>>>> single-lined. I can reproduce your problem in Jupyter ; therefore, I think
>>>> that the question should be directed to a Jupyter-centered mailing list,
>>>> newsgroup, forum or whatever...
>>>>
>>>> > Also is it possible for me to write x^k-1 for various powers of k in
>>>> latex in place of x^k+2. i.e. I want to write -1 wherever there is a 2 in
>>>> the left column. Sure I can do this with print, but the output won’t be
>>>> Latex rendered.
>>>>
>>>> I cant't make head or tail of this gibberish. Could you rephrase ?
>>>>
>>>> HTH,
>>>>
>>>> Le dimanche 20 novembre 2022 à 07:39:27 UTC+1, gauri...@gmail.com a
>>>> écrit :
>>>>
>>>>> I want to create a neat table of the factorization of several
>>>>> polynomials of the form [image: x^n-1] in the ring Z/3Z [x].
>>>>>
>>>>> This is my code, which I am using inside of a Jupyter notebook that
>>>>> works as expected:
>>>>>
>>>>> R = IntegerModRing(3)
>>>>> x = PolynomialRing(R, 'x').gen()
>>>>>
>>>>> rows  = []
>>>>> for k in range(1,10):
>>>>>     f = x^k - 1
>>>>>     factor = f.factor()
>>>>>     rows.append((f,factor))
>>>>>
>>>>> table(rows, header_row=["Polynomial ", "Factorization"], frame=True)
>>>>>
>>>>> However, the output produced is ugly and looks like the one in the
>>>>> attachment; it leaves a lot of space on the right but the factorization is
>>>>> spread across multiple rows. How can I ask Sage to place each 
>>>>> factorization
>>>>> in the right column on a single line.
>>>>>
>>>>> Also is it possible for me to write [image: x^k-1] for various powers
>>>>> of [image: k] in latex in place of [image: x^k+2]. i.e. I want to
>>>>> write -1 wherever there is a 2 in the left column. Sure I can do this with
>>>>> print, but the output won’t be Latex rendered.
>>>>>
>>>>> ​
>>>>>
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