sage: p = random_prime(2^1000, proof=False)
sage: r = Integers(p)(2)
sage: time 1/r
CPU times: user 8.33 s, sys: 0.04 s, total: 8.37 s
Wall time: 8.38 s
3499526081536621642679042248089160305431650460015592790597504050874839449753564641181241694531732168529968232075793871659087004627036430097798051425534663680136477216778245568521334956231031996455409743133009480089945324001250066901998383114487031466512725971538453941363837544198631115493811447198845
The generic fraction_field() call does primality testing here, takes too long.