On Sep 22, 2008, at 6:09 PM, William Stein wrote:

>
> On Mon, Sep 22, 2008 at 6:04 PM, Jason Grout
> <[EMAIL PROTECTED]> wrote:
>>
>> Bob Wonderly wrote:
>>> Using Sage I solved a long list of equations and put the  
>>> solutions (s)
>>> in a list; e.g.:
>>>
>>> sage: for j in range(52,54,1):
>>>      q = slst[j]
>>>      j=q[0]; k=(q[1]); s=(q[2])
>>>      (q,j,k,s)
>>> .....:
>>> ([52, 30, 2081203288L], 52, 30, 2081203288L)
>>> ([53, 53, 17903198518682712L], 53, 53, 17903198518682712L)
>>>
>>> Now I want to plug j and s into the list of y equations so that I  
>>> can do
>>> further calculations involving i. But Sage appears to be getting  
>>> hung on
>>> the s being long:
>>>
>>> sage: for j in range(52,54,1):
>>>      q = slst[j]
>>>      j=q[0]; k=(q[1]); s=(q[2])
>>>      y = 2*(2**k)*i + s
>>>      (j,k,s,y)
>>> .....:
>>> ....
>>> ....
>>> TypeError: unsupported operand parent(s) for '+': 'Symbolic Ring'  
>>> and
>>> '<type 'long'>'
>>>
>>> When I take the s out of the equation for y it's OK:
>>>
>>> sage: for j in range(52,54,1):
>>>      q = slst[j]
>>>      j=q[0]; k=(q[1]); s=(q[2])
>>>      y = 2*(2**k)*i
>>>      (j,k,s,y)
>>> .....:
>>> (52, 30, 2081203288L, 2147483648*i)
>>> (53, 53, 17903198518682712L, 18014398509481984*i)
>>>
>>> FWIW:
>>>
>>> sage: type(j), type(k), type(s), type(y), type(i)
>>>
>>>
>>> (<type 'int'>,
>>>   <type 'int'>,
>>>   <type 'long'>,
>>>   <class 'sage.calculus.calculus.SymbolicArithmetic'>,
>>>   <class 'sage.calculus.calculus.SymbolicVariable'>)
>>>
>>> None of the tricks I tried have convinced Sage and y that s is OK.
>>
>>
>> Can you try converting s to an element that Sage knows by saying:
>>
>> y = 2*(2**k)*i + Integer(s)
>>
>> That said, I reproduced your error with just:
>>
>> sage: var("b")+long(2)
>
> This is a bug, so I've added it to trac:
>
> http://trac.sagemath.org/sage_trac/ticket/4171

... just after I added the ticket here: http://trac.sagemath.org/ 
sage_trac/ticket/4170

- Robert


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