C177 in Bernoulli(226) (with Sam Wagstaff)

Polynomial selection

The following polynomial is used,

n: 616561612440152632819082574750912860046241002353811936
04328504023768743659563205301334766344711469689270339749
76530758329078232825016552379215358367835737128356203728
10096137091
Y1: 13303283758386913
Y0: -6315922616392968255897648798570024
c5: 61346880
c4: -1771744056413172
c3: -1058925934403971690168
c2: 94139833826515440836987328709
c1: 33762560226079852589812317863711284
c0: 53104115521399303364824932551509942064387
skew: 5064704.000
# lognorm: 56.35, alpha: -7.22 (proj: -2.84), E: 49.13, nr: 3
# MurphyE(Bf=10000000,Bg=5000000,area=1.00e+16)=1.11e-13

Sieving

Lattice sieve was done in CADO-NFS. 400M unique relations were collected.

rlim=40000000
alim=80000000
lpbr=32
lpba=32
mfbr=64
mfba=96
rlambda=2.1
alambda=3.2

Filtering and linear algebra

Filtering and linear algebra was done in CADO-NFS using 64 cores. Matrix is 16M x 16M of weight 1659610725. The calendar time was approximated 10 days. The factors are:

380494157376453264960889084434669723291107146631594175473255806042043 * 1620423337618135820030251509025790025624946118195084521697474235889386106254869967200719628093307467804920537