Current mood:	content
Current music:	envy - a dead sinking story

i love computers with magma on them
> K := NumberField(x^3+ 3*x+15);
> MinkowskiBound(K);
22
> time ClassGroup(K);
Abelian Group isomorphic to Z/3
Defined on 1 generator
Relations:
3*$.1 = 0
Mapping from: Abelian Group isomorphic to Z/3
Defined on 1 generator
Relations:
3*$.1 = 0 to Set of ideals of Maximal Equation Order with defining polynomial x^3 + 3*x + 15 over its ground order
Time: 0.460

this took me 3 days to compute by hand, the computer at the university of leiden runnen the progam magma only 0.460 second. well, atleast i got the same answer.