Group GAP4(128,236)

Name: (C2 x ((C4 x C2) : C4)) : C2
Maximal quotients:GAP4(64,90) GAP4(64,98) GAP4(64,101)
Real polynomial:
x^128-544*x^126+141360*x^124-23403072*x^122+2777594616*x^120-252094771456*x^\
118+18224678690288*x^116-1079257478167104*x^114+53433509677254756*x^112-2246\
128333038976992*x^110+81138119031756958048*x^108-2543120413149531697216*x^10\
6+69704145421064391109344*x^104-1681504879482703183360032*x^102+358932738900\
28462296288112*x^100-681010659702416953762748992*x^98+1152824448568036772660\
9797354*x^96-174673746480676299994171250112*x^94+237529886641226005819347467\
9632*x^92-29055031212928761295707860477824*x^90+3203043983946124201907611857\
92664*x^88-3187337007888420201907532986577248*x^86+2866659081152781574302165\
8440785344*x^84-233266911794725568199281053051578624*x^82+171870586022354111\
0794063546978826448*x^80-11472745468536764282840831230326798560*x^78+6940744\
6422476327879702615158276970736*x^76-380615775778854752650669017159347303872\
*x^74+1891885566446594728524413581203790576936*x^72-852183683797102625871099\
8994085141382464*x^70+34771411026238393007040501159564017970256*x^68-1284395\
86532323592880543379248509360284480*x^66+42915413384716834162791985992233371\
7943283*x^64-1295762355204925450150955312753774457691328*x^62+35310086153896\
40175613970796182822952076944*x^60-86714908150877966293557000558208937875283\
20*x^58+19158335686041559368420896172751316967830552*x^56-380026634568229699\
61029661171313538908250336*x^54+67522359115086189277510811066877907026855360\
*x^52-107173793025098403895988100017180308974813696*x^50+1514928340607898789\
26011095299453765327905744*x^48-19002656408088036579496018813413749293933270\
4*x^46+210661289505622773691590612487870953128941232*x^44-205434613770541218\
481656567069685342217111744*x^42+1752891889954628352177661821509126031553701\
52*x^40-130066850680209049382260144869173674712809536*x^38+83342391497086324\
427119186831862436392608656*x^36-4574998951551637857197775550262162670982227\
2*x^34+21322054046088046938521977565279327809358698*x^32-8352358544181116626\
442859831969197210488608*x^30+2719794484553246654833737832719999149505760*x^\
28-727590208440035431506498330604923447873600*x^26+1579707593209997836899839\
66591440383073184*x^24-27501800381926861599085642249947481361248*x^22+379467\
4268309603964785007969980481641232*x^20-410282336218408174431590951149989521\
088*x^18+34353452582756862631378090481699612516*x^16-21975930494245395234831\
16252832884096*x^14+105548223240448871630106256370167312*x^12-37143623865267\
44950702436997415808*x^10+92325236511145628873565538026440*x^8-1527499082408\
453235413220677792*x^6+15111945170061514576434909216*x^4-7042577877997297541\
0485248*x^2+56493556715572357246849
Common denominator of the automorphisms:
4355833375356737684797911147941931000350332470715746507073094237914344339989\
0207441607488918901401741255903254033804092536462303559513687817660612752277\
8583797773146646754811149985527982176062155280936453440924215673599460001161\
0476894014357616769835174323772843723897350610477126138992844729535066198967\
8773786231551472670151005201109321113340669515387573751964028850410747876844\
0813105243996443610921472021626294278077294656466293294509366043231328133457\
3213191562367872967242678983295578742000872501805249687098302519117840563193\
8560887915974022197424476573495710156035634966687240965939597701640355840
Complex polynomial:
x^128-16128*x^120+83422472*x^112+26639762688*x^104+978551270940*x^96-2281773\
34957824*x^88+8475432300929848*x^80+2019490454193408*x^72-14042881479818170*\
x^64-2019490454193408*x^56+8475432300929848*x^48+228177334957824*x^40+978551\
270940*x^32-26639762688*x^24+83422472*x^16+16128*x^8+1
Common denominator of the automorphisms:
5792072232610384933185947961074380001845755825356800

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.