20060811, 23:11  #1 
Einyen
Dec 2003
Denmark
B2A_{16} Posts 
ggnfs
I'm wondering about polyselect.exe for gnfs. What is the formula for the score E(F1,F2) of the polynominals?
I thought it was a function of the coefficients only but the same polynominal can have slightly different score if the search parameters was different: bestpoly1.txt bestpoly2.txt Scores are 8.024327e007 and 8.121436e007 for the same polynomial and only difference is maxS1 70 or 72 which should only be the stage1 "cutoff" value. What about the skew? I read in another post here it should be (c_0/c_d)^(1/d). But skewness in my example file is 464.436 while: (c_0/c_d)^(1/d) = (27473397726011234846439353544/10516227540)^(1/6) = 1173.569. 
20060812, 05:17  #2  
Tribal Bullet
Oct 2004
3×5^{2}×47 Posts 
Quote:
The formula for E is equation 5.7 of Murphy's 'Polynomial Selection for the Number Field Sieve'. The root properties are determined by the function alpha(F) Quote:
jasonp Last fiddled with by jasonp on 20060812 at 05:23 

20060812, 08:52  #3  
"Sander"
Oct 2002
52.345322,5.52471
10010100101_{2} Posts 
Quote:


20060812, 22:50  #4 
Einyen
Dec 2003
Denmark
2·1,429 Posts 
Thanks.
Last fiddled with by ATH on 20060812 at 23:02 
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