Group GAP4(128,2228)

Name: (C2 x C4 x D8) : C2
Maximal quotients:GAP4(64,261) GAP4(64,264) GAP4(64,266)
Real polynomial:
x^128-560*x^126+150792*x^124-26024336*x^122+3237442460*x^120-309541630128*x^\
118+23685999711976*x^116-1491331487302752*x^114+78836693607976482*x^112-3552\
942168308444096*x^110+138143308154589323712*x^108-4678283954430728491824*x^1\
06+139064776638772690289104*x^104-3651646728422249467563536*x^102+8515402152\
7100691744634952*x^100-1771328635394376752646873968*x^98+3299140947407993866\
8554717371*x^96-551936900670248246549258767072*x^94+831634141154812458707432\
6722032*x^92-113113924158933177599315682942416*x^90+139145912260547631362860\
6504577280*x^88-15505561884542511308783894267174224*x^86+1567244865320157803\
24862251061881896*x^84-1438394181421008241630038869066014896*x^82+1199691957\
2040131956204243845365023762*x^80-90986904546703278047172262024827270192*x^7\
8+627748424267395181342025973693589395880*x^76-39408407224781525306641531914\
92133054336*x^74+22511783249052179316855557279920952449500*x^72-117002451597\
017286078039225427793657837088*x^70+5531171460335443241024342661996673087898\
56*x^68-2377262000195504759530400192057590996331728*x^66+9283313561366102990\
345788363082595044813105*x^64-32911677338963121939509428279842611462360480*x\
^62+105827340732843591045440095539142890613795152*x^60-308282206051171161051\
905039738197923980474144*x^58+812496583921189461384263090079271240303466736*\
x^56-1934414471060553345863748512349910403628329024*x^54+4153081501598244470\
663661989616678133915902144*x^52-8024521361281197676359075547899349486049008\
768*x^50+13922463998080606201201341886326128538698729376*x^48-21634840523148\
132239045794914740423521492547328*x^46+3002471246370727702568620165106247987\
2971177472*x^44-37091271666007447941503941495274539389638252544*x^42+4063676\
6323108400969638101820338108774325279232*x^40-393171272342917806901356104558\
30333906878005248*x^38+33431300935010550289922783674568757196679797760*x^36-\
24843308409619309619536708616410495868446685184*x^34+16030416089808847818169\
498273996691748238351104*x^32-8914429442013576897531968155273460287322386432\
*x^30+4234778944669008763626169168282643179359461376*x^28-170078515560145741\
9994056510084150502676168704*x^26+570439230989352909349264557400744197324693\
504*x^24-157453839148096948811361212542650247111639040*x^22+3514715362210636\
5661087210873617001317580800*x^20-621367916815455314005638955501728018795724\
8*x^18+848597517399884092836216792316685542629376*x^16-869018413279162423709\
80572097840011870208*x^14+6438506077080629501079247010683894956032*x^12-3302\
24145532734070972902164433514921984*x^10+11087142516539185627565714529636646\
912*x^8-226999077383943865764223478061072384*x^6+259751803629153614815397407\
4114048*x^4-14625543872450318112842279026688*x^2+298983927517662154299880898\
56
Common denominator of the automorphisms:
3567177640766098897445498443519763994976724220787202191554199303342845437691\
8416063361143210273792690496435067983531527516546137925249908556359154406779\
6288907413462691507428699492477575005106216641031639252774816120522177577010\
8313006177751635025552872714660881970901070759066938178357409113541471404568\
2121327656440408368989736228558550349570111527758198767276437644808405607605\
9866568803288808757025415577708448995110123848606261710103496281208853275687\
078307482586612020226993065507101890310531169405916804010628612096
Complex polynomial:
x^128+3098*x^120+10421181*x^112+9278907952*x^104+2715226621226*x^96+34667178\
154434*x^88+676934991008434*x^80-898632617048089*x^72+19842892347229047*x^64\
-64294973414043949*x^56+71362571428005064*x^48-5596727382019071*x^40-1946943\
627967039*x^32+109420550143552*x^24+17036206327296*x^16+294207488*x^8+65536
Common denominator of the automorphisms:
4338982886374833167779152185761567853728183440172932634128826470970087136306\
7340975452759367858805444444160000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.