# GNFS
a1 = log(exp(1.9 * log(2^512).n()^(1/3) * log(log(2^512).n())^(2/3)),2);
a2 = log(exp((64/9).n()^(1/3) * log(2^1024).n()^(1/3) * log(log(2^1024).n()).n()^(1-(1/3))),2);
a3 = log(exp((64/9).n()^(1/3) * (log(2)*1024).n()^(1/3) * log((log(2)*1024).n()).n()^(1-(1/3))),2);a1
63.1647372785957 63.1647372785957 |
# SFNS
b1 = log(exp((32/9).n()^(1/3) * log(2^1024).n()^(1/3) * log(log(2^1024).n()).n()^(1-(1/3))),2);
b2 = log(exp((32/9).n()^(1/3) * (log(2)*1024).n()^(1/3) * log((log(2)*1024).n()).n()^(1-(1/3))),2);b2
68.8663144865473 68.8663144865473 |
# QS
log(exp(1 * log(2^512).n()^(1/2) * log(log(2^512).n()).n()^(1-(1/2))),2)
65.8579654791447 65.8579654791447 |
# Making plot
x1 = [log(exp(1 * log(2^t)^(1/2) * log(log(2^t))^(1-(1/2))),2) for t in range(2, 1024, 5)];
x2 = [log(exp(1.9 * log(2^t)^(1/3) * log(log(2^t))^(2/3)),2) for t in range(2, 1024, 5)];
p = list_plot(x1);
p += list_plot(x2);p
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