Faster class group computations using norm relations Examples : multiquadratic fields Degree 32 : ? pol = multiquad([-1,2,3,5,7]); ? abbnf = abelianbnfinit(pol); cpu time = 3,185 ms. ? getcyc(abbnf) % = [8, 4, 4, 2] ? bnf = bnfinit(pol); cpu time = 8,271 ms. ? bnf.cyc % = [8, 4, 4, 2]