Group GAP4(128,1883)

Name: (C2 x ((C2 x D8) : C2)) : C2
Maximal quotients:GAP4(64,211) GAP4(64,254)
Real polynomial:
x^128-608*x^126+176160*x^124-32424288*x^122+4264483376*x^120-427409179744*x^\
118+33997648210656*x^116-2207137048304352*x^114+119356916116210392*x^112-546\
0638945689701856*x^110+213945583680955601696*x^108-7248913236497296698336*x^\
106+214104255367252582467664*x^104-5549356549031408924716768*x^102+126923870\
600981274482150368*x^100-2573794360464110982617759328*x^98+46459723218337288\
528067847548*x^96-749101922674742017177574901472*x^94+1082036746929326934900\
1399555744*x^92-140369114234416763776843891634144*x^90+163893382473792035249\
0626153296816*x^88-17254507100271855669449924671239904*x^86+1640439151311131\
99281072313711454304*x^84-1410215536174675912297528964113041760*x^82+1097301\
2630175341452996560126325181224*x^80-77344951227727006886562714900924594784*\
x^78+494155824307254410295534748689676069792*x^76-28628322970556643354769832\
53451072237152*x^74+15042482015550957807987207046648427020624*x^72-716879053\
95559439480313233783449033872736*x^70+30981836473231926105249899165886309105\
4432*x^68-1213826391161491112948751246320585219382496*x^66+43089160085815737\
84222740000560050835450918*x^64-13849513452604243637238352551596254290331936\
*x^62+40268528478917700718617676222844789111913568*x^60-10579980220777370089\
4994262620686321255049760*x^58+250855676055828060248987116418890902261912336\
*x^56-535943131703238098272799213370283392800465696*x^54+1029916151211536296\
177966240025650237713687712*x^52-1776622164231410190544946919964234403963994\
784*x^50+2744729135156758996597904557971609755949559400*x^48-378777830263200\
1837786887328091832370214731680*x^46+465559011775845446045982017237140509725\
7161056*x^44-5079652891393480332082831516950174167686176160*x^42+49017107232\
67547819185917765657580478673553264*x^40-41658215761037851948163677780545570\
73896085152*x^38+3103505360756406223532900973603154244508351392*x^36-2016077\
861326081830017215653327385500378616096*x^34+1135215359400099239488243080529\
530007337209404*x^32-550357521470402682461785503176862731093521824*x^30+2279\
82173713705940530398248239585596401763552*x^28-79999735106711088710858479062\
915522839006368*x^26+23545837305298081267157741609708849885185808*x^24-57468\
94137340781154874807786767701021428128*x^22+11478571667394281570515805514491\
57995675680*x^20-184698828646922014290500818670110946558240*x^18+23491565172\
401920589558459525927870446360*x^16-2306319928869065050116323242114609082400\
*x^14+169443928624074074030838437237505075168*x^12-8924736037519526632574264\
488403968032*x^10+315982181626732715456526510142686960*x^8-67462666165097353\
50362562654158112*x^6+69548315833199527667816486603040*x^4-17072244443379570\
8843509509024*x^2+25603766407873066686146721
Common denominator of the automorphisms:
3550348686011383780863702956397581761739366494261216111401798150701444539561\
2419716113665637184825846681156628443050438084353966081771416226478022205559\
0104480019985690606507167878295193011131382777601804810575794225604827580039\
4640375932323171937825430814314690180170922026896260981598990790250866974207\
8158495928056343903054564763063831915254821846037163576323516879040370832978\
7935225112915484500888606361215644096860412786438681532072738870760273056491\
7391021396035547860159948493759447519508082208498894353652710873976340752780\
5603781022262829836153126912
Complex polynomial:
x^128+9588*x^120+91320534*x^112-3511728216*x^104-44505239852223*x^96+2103130\
865998008*x^88+21845154789147436038*x^80+181871692134646970124*x^72+14996890\
08409028483556*x^64-26082411748371358164*x^56-548009177286014632602*x^48+137\
23558976372975352*x^40+202052467088464269537*x^32+4675830547446314856*x^24+1\
07632411843688694*x^16+2153426566932*x^8+43046721
Common denominator of the automorphisms:
431456703391843662911621037238363587108363489779628678707125440690369331200

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.