C153 -- 2 more polys
 

[code]
R0: -519481698976886343414748273961
R1: 458530543525263640909
A0: 6070822972529098048965582982853567832
A1: 10510958611687072771555568055830
A2: -3537622176532779803741501
A3: -1818186183272119702
A4: 94528913746
A5: 5040
skew 6193650.15, size 8.153e-015, alpha -6.158, combined = 3.908e-012 rroots = 5
[/code][code]
Y0: -306115669941613041836002279051
Y1: 26715669066492535416559
c0: -1141767469426727868215224926858579600
c1: 3311408465468536689619372276484
c2: 7126607043734812879510764
c3: -2847360171779363150
c4: -1005252687333
c5: 320760
skew: 2077926.32922
# lognorm 47.45, E 40.85, alpha -6.59 (proj -1.84), 5 real roots
# MurphyE=3.83560009e-12
[/code]

Gentlemen, thank you so much!

C153
 

@richs
Happy factoring!

Max, here's a couple that could use some optimization:
[CODE]# norm 1.066662e-014 alpha -7.721839 e 4.085e-012 rroots 5
skew: 999870.52
c0: -661612859910846146447072699896364333
c1: 3695135085304075448022313863869
c2: 13192978426448448878240429
c3: -11058768135518968661
c4: -13615281056088
c5: 3123120
Y0: -144059117978135976463552673766
Y1: 40752277163581
# norm 9.799444e-015 alpha -7.987279 e 3.811e-012 rroots 5
skew: 1608424.23
c0: -15243610358377014670906264867559301243
c1: 23420251303785209564616436348047
c2: 31907715479356236734451149
c3: -21722079803611967327
c4: -14849781680626
c5: 3260400
Y0: -142825027385288001831941524190
Y1: 2629774247306543
# norm 9.566565e-015 alpha -7.841967 e 3.833e-012 rroots 1
skew: 966454.47
c0: 221743368368649014886597692862640305
c1: 3616163671183396307136968115549
c2: -9550336936855317986589673
c3: 5758414600327687555
c4: 8457464669064
c5: 3372720
Y0: -141860807024778106315608211292
Y1: 1213663487683669[/CODE]

Still working through the remainder of the leading coefficients. Will post any others that are similarly high.

C153 polys
 

@wombatman
Great polys! CADO can't make them better. :-(

Holy cow! They must be good if CADO can't improve on them.

Here's my CPU best poly:

[CODE]# norm 1.215438e-014 alpha -5.992013 e 4.496e-012 rroots 5
n: 193772627436498719691399371635139917650415631165444129989632973066769346863702474240220073470345031874593997015736878532869569858946276674743265111984081
skew: 11059975.16
c0: 714364181918696418157020125640001905
c1: 10952754678896260587986816145552
c2: 2646592400904787922886346
c3: -419947073011879588
c4: -17998728499
c5: 540
Y0: -814666335894843441556680853706
Y1: 10374901361511881
rlim: 29200000
alim: 29200000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6[/CODE]

I'm testing this poly along with the others that you found. Max, can this one be optimized?

C157 from 113990869481^19-1
 

Can either of these polys be improved?
[CODE]n: 1285513678558327974452479212785276193227825026334227699014956971970123507922903619704409921192405117718118925304817341669218102975406714504637552034617856703
# expecting poly E from 2.16e-12 to > 2.49e-12
R0: -1272678426641678443217889163855
R1: 433294996087741
A0: 23967852890595049656933653846546198448
A1: 24253149560699150684428371759956
A2: -35189482493999772896124716
A3: -7416970886430279079
A4: 1408284488796
A5: 385020
skew 3143542.24, size 3.161e-15, alpha -6.863, combined = 2.251e-12 rroots = 3[/CODE]
[CODE]n: 1285513678558327974452479212785276193227825026334227699014956971970123507922903619704409921192405117718118925304817341669218102975406714504637552034617856703
# expecting poly E from 2.16e-12 to > 2.49e-12
R0: -1176235282718921569244548985977
R1: 1907379916459067
A0: 15773671658501280324421185628985119464
A1: -28129124245733121259481105547778
A2: -3211232197928194097862355
A3: 3778414121860732922
A4: 4794648818856
A5: 570960
skew 2560261.10, size 3.205e-15, alpha -6.946, combined = 2.241e-12 rroots = 3[/CODE]

C153, C157 polys
 

@richs, @RichD
I will CADO all of them and let you know later today.

C157 -- better CADO polys
 

@RichD
[code]
n: 1285513678558327974452479212785276193227825026334227699014956971970123507922903619704409921192405117718118925304817341669218102975406714504637552034617856703
Y0: -1272678427451498125005955338035
Y1: 433294996087741
c0: -3821265473126200234805354210930447232
c1: 13871944823559381399848978753356
c2: 10776520547827683543543584
c3: -4496112419121991399
c4: -2189688909204
c5: 385020
skew: 2312701.27018
# lognorm 48.17, E 42.09, alpha -6.08 (proj -1.98), 5 real roots
# MurphyE=2.32791187e-12
[/code][code]
n: 1285513678558327974452479212785276193227825026334227699014956971970123507922903619704409921192405117718118925304817341669218102975406714504637552034617856703
Y0: -1272678427368627857234198345339
Y1: 433294996087741
c0: -4794752756583303472463838838922423160
c1: -8011563059207792014040871452904
c2: 7743152928247483035952108
c3: -6030441069911765095
c4: -1821501983604
c5: 385020
skew: 2626022.14524
# lognorm 48.37, E 41.74, alpha -6.63 (proj -1.98), 3 real roots
# MurphyE=2.32035802e-12
[/code]

C157 -- more better CADO polys
 

[code]
n: 1285513678558327974452479212785276193227825026334227699014956971970123507922903619704409921192405117718118925304817341669218102975406714504637552034617856703
Y0: -1176235283356385103744417308980
Y1: 1907379916459067
c0: 10789420546947381849332918019788589
c1: 480279933507537276015893182776
c2: -3999461211532534321480707
c3: -1993507510867209094
c4: 3840548965656
c5: 570960
skew: 936025.34356
# lognorm 47.14, E 41.81, alpha -5.34 (proj -2.45), 5 real roots
# MurphyE=2.27089789e-12
[/code][code]
n: 1285513678558327974452479212785276193227825026334227699014956971970123507922903619704409921192405117718118925304817341669218102975406714504637552034617856703
Y0: -1176235284690866295875755403927
Y1: 1907379916459067
c0: -32000710470499238861821069593087061552
c1: -43772364993873314254620513196320
c2: 9509011773943995412695483
c3: -9946694495490369478
c4: 1843213838856
c5: 570960
skew: 3346989.46545
# lognorm 49.42, E 42.14, alpha -7.28 (proj -2.45), 3 real roots
# MurphyE=2.24660304e-12
[/code]