Polynomial Request Thread - Page 127

firejuggler · 2018-07-11, 12:19

this C178... I already have a 1.045 e-13 score, so this will be record breaking.

vebis · 2018-07-11, 14:23

Quote:

Originally Posted by vebis

I'll let CADO-NFS run

done -5M:

Quote:

n: 2251429707018528934457041813481601032569889257418265821908991741003115888404619021770539605531307738047511371147680734871485977769067616896803379307999889414717811965124412699937
Y0: -31911192032427107000819703191088351
Y1: 30435292760347048505893
c0: -4551362711074795420826438030745741701914680
c1: 1021376721000813469302496439075228437
c2: 74994327073558531193496977412
c3: -9731711815940129052265
c4: -248943737111184
c5: 4898880
skew: 16254128.197
# lognorm 56.25, E 48.17, alpha -8.08 (proj -2.28), 5 real roots
# MurphyE(Bf=9.13e+07,Bg=8.39e+07,area=1.23e+16)=4.57e-11
# Average exp_E: 49.21, average E: 49.28

swellman · 2018-07-12, 00:38

Early hit, very light. Just a baseline that's already been surpassed...

Code:

R0: -18611482202479627999157818324660337
R1: 27209338145179079
A0: 93869672271928497236146225137134714572408200
A1: 2664141064084458004404278917679299080
A2: -472001935983702004303089217774
A3: -2123414479614675865692
A4: 329826310592385
A5: 1008216
skew 42033709.93, size 1.544e-17, alpha -7.063, combined = 9.001e-14 rroots = 5

Max0526 · 2018-07-12, 04:29

Quote:

Originally Posted by vebis

done -5M:

Code:

Y0: -31911192032427107000819703191088351
Y1: 30435292760347048505893
c0: -4551362711074795420826438030745741701914680
c1: 1021376721000813469302496439075228437
c2: 74994327073558531193496977412
c3: -9731711815940129052265
c4: -248943737111184
c5: 4898880
skew: 16254128.197
# lognorm 56.25, E 48.17, alpha -8.08 (proj -2.28), 5 real roots
# MurphyE(Bf=9.13e+07,Bg=8.39e+07,area=1.23e+16)=4.57e-11
# Average exp_E: 49.21, average E: 49.28

Code:

skew: 20172935.36205
E = 1.11650234e-13

Max0526 · 2018-07-12, 04:43

Spin-off of vebis's poly with a smaller c5:

Code:

Y0: -95734298431658542890076083565462331
Y1: 30435292760347048505893
c0: -68544960434637678822511394682588201900152940
c1: 7473249652178655501252084083321943913
c2: 564662094428102420806214603988
c3: 1212038261567367665687
c4: -147574192337328
c5: 544320
skew: 61494873.52
# size 1.589e-17, alpha -8.417, combined = 9.520e-14 rroots = 5

Max0526 · 2018-07-12, 04:47

vebis's poly after msieve:

Code:

Y0: -31911190682834920128750531294275052
Y1: 30435292760347048505893
c0: -4505925191152761342263148467733270285350400
c1: 1027970174720064450713218962791497762
c2: 73696794462928531965930963831
c3: -9775771137720791449513
c4: -247857581931984
c5: 4898880
skew: 20251346.85
# size 2.047e-17, alpha -8.083, combined = 1.117e-13 rroots = 5

vebis · 2018-07-12, 06:50

I'll let CADO-NFS run from 5M-8M, maybe something better comes up.

vebis · 2018-07-12, 11:02

Quote:

Originally Posted by vebis

I'll let CADO-NFS run from 5M-8M, maybe something better comes up.

Done, but couldn't find a better poly.

Quote:

Y0: -12898717940796541839281127624417658
Y1: 71253639884495093701391
c0: 838629857197288149902324672190714043860260
c1: -32100951399299250282044185534143611
c2: -76901737309772079556859458184
c3: 3951262377832599472301
c4: 596308530044694
c5: 37830240
skew: 7145510.978
# lognorm 56.36, E 48.74, alpha -7.62 (proj -2.40), 3 real roots
# MurphyE(Bf=9.13e+07,Bg=8.39e+07,area=1.23e+16)=4.39e-11
# Average exp_E: 49.20, average E: 49.47

Gimarel · 2018-07-12, 11:28

My best poly so far:

Code:

# norm 2.827421e-17 alpha -6.740611 e 1.170420e-13 rroots 5
skew: 65128919.90
c0: 65000535173896017751557545654616959531425827
c1: 3100617760193931724139111550767381927
c2: -46611218608986151491856007199
c3: -2222659621568896648267
c4: 20080803236452
c5: 100620
Y0: -29509021818556125298909446248035730
Y1: 3977438169786904061

firejuggler · 2018-07-12, 11:51

and mine

Code:

R0: -25398663509664111097295637546054488
R1: 1429041460496921
A0: 191586618659681828953838307166361024778492033
A1: 19554928406266708182678946961850539439
A2: -109976792569661466881843013818
A3: -6514422390259730126051
A4: 17370491222385
A5: 213012
skew 93498759.50, size 1.924e-017, alpha -7.287, combined = 1.051e-013 rroots = 5

Max0526 · 2018-07-12, 17:16

Modified Gimarel's poly with E > 1e-13:

Code:

Y0: -59018043386991099020027468062935192
Y1: 3977438169786904061
c0: 8182863201370525831295776950769177569412360
c1: 2788562533185533654017143794688811564
c2: -211752825078797707788566670002
c3: 1297662457139857940085
c4: 17949760983926
c5: 25155
skew: 102753237.47
# size 1.934e-17, alpha -6.858, combined = 1.051e-13 rroots = 5

2018-07-12, 06:50	#1393
vebis Oct 2015 1000100₂ Posts	c178 I'll let CADO-NFS run from 5M-8M, maybe something better comes up.

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2018-07-11, 12:19	#1387
firejuggler Apr 2010 Over the rainbow 2·1,303 Posts	this C178... I already have a 1.045 e-13 score, so this will be record breaking.