Group GAP4(112,13)

Name: (C28 x C2) : C2
Maximal quotients:GAP4(16,3) GAP4(56,4) GAP4(56,5) GAP4(56,7)
Real polynomial:
x^112-640*x^110+193744*x^108-36985824*x^106+5008165856*x^104-512964177152*x^\
102+41387072862240*x^100-2704571716704128*x^98+146074010899786496*x^96-66211\
75885977359104*x^94+254897737045490429440*x^92-8413849787579371802624*x^90+2\
39976376942102260962688*x^88-5951615255330513678674944*x^86+1290239385628276\
09296884224*x^84-2455684287658504347434047488*x^82+4118400570008231366382585\
2416*x^80-610472218307040558391795109888*x^78+801846476668899994470237858816\
0*x^76-93523432048315781346053506998272*x^74+9702902347612638571276263175495\
68*x^72-8966709844927554970324186333380608*x^70+7388850033423673899468621559\
9013888*x^68-543336840597824458520423600457973760*x^66+356720591328454744614\
6224234299035648*x^64-20915064815739075671387131361096302592*x^62+1095110108\
09896845040064411056091463680*x^60-511930257788188174414181542053184536576*x\
^58+2135481022894002204042090465475479830528*x^56-79428761010855151861908044\
60601068486656*x^54+26315109859200774418191148819004918857728*x^52-775535875\
64775790733511500403079306018816*x^50+20298225272637176785599871064273857413\
1200*x^48-470888004652658360688939620077855780634624*x^46+965967697689813832\
674540806891997296590848*x^44-1747406209620147402323763958991649301856256*x^\
42+2778482913451439447684641995248173154566144*x^40-386872359984587216499438\
5740116144687153152*x^38+4696464338510006980598438721584741922897920*x^36-49\
45487343924766727446244802987669674000384*x^34+44907742113734731375184953328\
30877459677184*x^32-3492538492126567679369634925352462942470144*x^30+2308001\
300651521580001412599893961832660992*x^28-1284210153419176686334220185387011\
783262208*x^26+595325464175776052104294782594694187581440*x^24-2271381303408\
98759288787828807074125447168*x^22+70323316781588771264838541187988892680192\
*x^20-17378130234605628586316031446773072396288*x^18+33609320549651458692606\
68274343558512640*x^16-496571819803500145586621593035846189056*x^14+54332720\
650619600097257030242304786432*x^12-4217930139798393525642405440156336128*x^\
10+217790666477205428647729647298019328*x^8-66883265402264036696759368123678\
72*x^6+95147732310309088684982428237824*x^4-170614422370194266962303909888*x\
^2+36497444965199800900255744
Common denominator of the automorphisms:
4367256973438980132228148200912837734586226198070942180100043505819190461741\
1393435938136778582273323389792062042896284987695236650739156127431645149909\
4779211378058976480099086157510072894318186327704108356834946699179948719049\
5882541093284612823755445787383393570880195655200099652317318918429831014056\
8032014574088221743232850983953496793312079999429432744644470081453591061971\
9988727223820009412075271092350082548025183935540551508925660704384256907862\
8325768971047732941043438251919266439356150605414400
Complex polynomial:
x^112+6080*x^108-7682176*x^104+4731857920*x^100-1633627874304*x^96+336168220\
508160*x^92-34502493278273536*x^88+857576534629416960*x^84+56628805649952014\
336*x^80+390612288673457111040*x^76+9463226182191435218944*x^72+412725562973\
036929351680*x^68+6736104185760679341326336*x^64+145665224518704578114355200\
*x^60+2993505003964837933418020864*x^56+36481162587760439491087564800*x^52+2\
75505254282515660885622521856*x^48+1194305261778402385635185786880*x^44+2754\
963518538337900767985270784*x^40+742505811548599810300670115840*x^36+1022676\
000392574532502490710016*x^32+1747331973983133670062591836160*x^28-102057466\
5531401439259274510336*x^24+935130150242855412471022223360*x^20+745226714098\
659014643900481536*x^16-841448992403856559694130708480*x^12+2003170438056871\
80476404465664*x^8-11508973802731269743202795520*x^4+30948500982134506872478\
1056
Common denominator of the automorphisms:
3895805346423941395221532066850207938500102095528577952816598717203803584577\
2281589866748603261207066557642582165512829402842398720000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.