Comment #55 on issue 1598 by smichr: New polynomials manipulation module
http://code.google.com/p/sympy/issues/detail?id=1598
Perhaps the solution to comment 46 is to have Poly instantiate from a basic
expression with field=True automatically:
>>> p=Poly(3*x**3+5*x**2+7*x+11)
>>> roots(p)
Traceback (most recent call last):
.
.
.ExactQuotientFailed: 3 does not divide 5 in ZZ
That's because the field defaulted to ZZ. But if we had sent field=True we
would have
gotten a better result:
>>> p=Poly(3*x**3+5*x**2+7*x+11, field=True)
>>> roots(p)
{-5/9 + (989/729 + 1417**(1/2)/27)**(1/3)*(1/2 - I*3**(1/2)/2) -
38/(81*(1/2 -
I*3**(1/2)/2)*(989/729 + 1417**(1/2)/27)**(1/3)): 1, -5/9 + 38/(81*(989/729
+
1417**(1/2)/27)**(1/3)) - (989/729 + 1417**(1/2)/27)**(1/3): 1, -5/9 +
(989/729 +
1417**(1/2)/27)**(1/3)*(1/2 + I*3**(1/2)/2) - 38/(81*(1/2 +
I*3**(1/2)/2)*(989/729 +
1417**(1/2)/27)**(1/3)): 1}
because now field is QQ:
>>> print Poly(3*x**3+5*x**2+7*x+11, field=True)
Poly(3*x**3 + 5*x**2 + 7*x + 11, x, domain='QQ')
So if the user is just trying to make a generic poly, is there a reason not
to do
field=True for them or should they just get more of an education about
Polys before
trying to do anything with them?
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