On 16/04/2018 15:09, Vincent Delecroix wrote:
On 16/04/2018 13:15, John Cremona wrote:
On 16 April 2018 at 12:04, Vincent Delecroix <20100.delecr...@gmail.com>
wrote:
On 16/04/2018 09:21, fanxue...@iie.ac.cn wrote:
I have constructed a big prime field:
p=68235916425158872634653027
F=GF(p)
Here is what I get
sage: p = 68235916425158872634653027
sage: F = GF(p)
Traceback (most recent call last):
...
ValueError: the order of a finite field must be a prime power
OK, but apart from typos in the report there is a real bug:
sage: p=next_prime(68235916425158872634653027)
sage: F=GF(p)
sage: E2=GF(p^6)
AttributeError: 'int' object has no attribute 'divisors'
reason: type inconsistency in the output of K.degree()
sage: type(GF(next_prime(2^62)^2).degree())
<type 'sage.rings.integer.Integer'>
versus
sage: type(GF(next_prime(2^63)^2).degree())
<type 'int'>
which is a consequence of this one
sage: R1 = PolynomialRing(Zmod(next_prime(2^62)), 'x')
sage: type(R1.an_element().degree())
<type 'sage.rings.integer.Integer'>
versus
sage: R2 = PolynomialRing(Zmod(next_prime(2^63)), 'x')
sage: type(R2.an_element().degree())
<type 'int'>
Vincent
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