|   | 1 |  initial version  | 
Note that the mapping is just taking the binary digits of the integer and using them as coefficients w.r.t. the basis $1,x,x^2,\ldots$
You can use the built-in integer_representation() method, or do the job manually:
sage: a = F.fetch_int(3)
sage: a.integer_representation()
3
sage: ZZ(list(vector(a)), base=2)
3
 Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
 
                
                Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.