# c142 in 3^678+1 (re-factored)

### Polynomial

The polynomial was generated by CADO-NFS.
n: 298730898112152159993663965314143337109110490153938

211636859779301038543388812435571253528061053007013850

1732641264188065670113704242889194649

c5: 473040

c4: -909753750530

c3: 712037243142343888

c2: 42301749351295848887127

c1: -8369958459671572892381028718

c0: -227539996779042958609856269522216

Y1: 2931613881191

Y0: -1445694257849469801069172695

# lognorm: 44.40, alpha: -4.73, E=39.67

### Sieving

Lattice sieve was done in lasieve. 28170207 raw relations were generated.
rlim: 10000000

alim: 20000000

lpbr: 28

lpba: 28

mfbr: 56

mfba: 84

rlambda: 2.1

alambda: 3.2

### Filtering and linear algebra

Filtering and linear algebra was done in msieve.
Wed Aug 18 12:32:08 2010 prp52 factor: 4958516442623153717590015032806345495942226285172417

Wed Aug 18 12:32:08 2010 prp90 factor: 602460234969227165631209934578469038593601542488104589481631863167520996197429859587060697

### Comments

1. I think this number was first done by ECM.

2. The root property of the polynomial seems not good enough.