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Old 2011-09-07, 19:00   #1
Jun 2011

7 Posts
Default question to murphys Q2 value

i want to test some polynomials with ggnfs and compute their quality with the murphy value Q2. The definition of Q2 is:

Q2:= int(from 0 to pi) rho[(alpha(F1)+log F1(-Acos(t),Bsin(t)))/log L1] * rho[(alpha(F2)+log F2(-Acos(t),Bsin(t)))/log L2] dt

rho is the dickman funtion. I didnt find threads in this forum to the Q2 value.
My questions are:
1) Is there an easy way to compute Q2? Any implementations in maple/matlab/pari?
2) Where can i find A,B after using ggnfs/msieve?

i computed the dickman function by numerical integration and the computation of alpha should also work. but after using ggnfs/msieve i cant find A and B. For example i tested pp40*pp41 with ggnfs and msieve and got:

Number: testzahl2
N = 100000000000000000000000000000000000001039999999999999999999999999999999999997943 (81 digits)
Divisors found:
r1=9999999999999999999999999999999999999983 (pp40)
r2=10000000000000000000000000000000000000121 (pp41)
Version: Msieve v. 1.48
Total time: 0.20 hours.
Factorization parameters were as follows:
n: 100000000000000000000000000000000000001039999999999999999999999999999999999997943
Y0: -15591583604619784232
Y1: 5229783359
c0: -109864692158220730521
c1: -3507793033389192474
c2: 41762546876374
c3: 449858979
c4: 1692
skew: 100469.73
type: gnfs
Factor base limits: 350000/500000
Large primes per side: 3
Large prime bits: 24/24
Sieved algebraic special-q in [0, 0)
Total raw relations: 978897
Relations: 41204 relations
Pruned matrix : 31182 x 31409
Polynomial selection time: 0.07 hours.
Total sieving time: 0.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: gnfs,80,4,52,1500,0.005,0.3,220,15,10000,400,350000,500000,24,24,37,37,1.7,1.7,10000
total time: 0.20 hours.
Intel64 Family 6 Model 23 Stepping 7, GenuineIntel

Where can i find A and B in this file? I dont see it. Is there another file i can find A and B?
I hope someone understands my problem ^^
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