Group GAP4(128,753)

Name: (C2 x (((C4 x C2) : C2) : C2)) : C2
Maximal quotients:GAP4(64,73) GAP4(64,138)
Real polynomial:
x^128-384*x^126+70656*x^124-8306400*x^122+701902616*x^120-45472809600*x^118+\
2352492295008*x^116-99949866924480*x^114+3559510480199460*x^112-107917941638\
300736*x^110+2819485013803335744*x^108-64098339336177007392*x^106+1278124621\
853470135744*x^104-22500978360432209902272*x^102+351654593554892361993216*x^\
100-4901494610998272048808416*x^98+61170705273818205834264698*x^96-685825157\
043405238861961280*x^94+6927514563136439638868274048*x^92-631964719018187111\
88555926592*x^90+521746394997996628889772567864*x^88-39051646805095418752633\
53817152*x^86+26538249086698865776110090114528*x^84-163941196971306452218004\
762054496*x^82+921545665270183375699755649524256*x^80-4717332759454076574801\
030186831744*x^78+22002859960292468456970227351662848*x^76-93548228993134894\
485483659357783328*x^74+362625866049552240739298491096707944*x^72-1281639901\
214668901802194708628658560*x^70+4129523505161591296529672609135274144*x^68-\
12126309459227302580293491044646613632*x^66+32437302090031367265130862912628\
387507*x^64-78988392011142964439077087196254813248*x^62+17495196619459102433\
2671425827289385984*x^60-352096056611368246430324178161306704704*x^58+643057\
495188634425441690405848907541304*x^56-1064258569715654519516301896035960332\
096*x^54+1593345489980319638456569598171459112672*x^52-215366848283850483775\
1337386686408583904*x^50+2622199337275546999374432823015428471520*x^48-28683\
89498660017575414258505384153589376*x^46+28106106173824368161510888844537318\
58176*x^44-2458509624087133255029844506107977628064*x^42+1912300159379102221\
162034254437997629096*x^40-1316764498285982761186383086406657687168*x^38+798\
527847677877239140960113298716939936*x^36-4239511025110943459376471564212139\
67488*x^34+195695228506948668022819406983071335402*x^32-77905455708201157760\
263617029325305280*x^30+26492987754782400479148695475379111296*x^28-76089554\
11508072957111720899832592864*x^26+1820455951315595335430670906485211616*x^2\
4-356755854068836156724061735265731264*x^22+56068918666700308188773853089975\
424*x^20-6877384779281937191185617242701728*x^18+634901705129710710886182424\
636596*x^16-41921247973342523628438028490304*x^14+18336749139377284265084315\
44896*x^12-46871535365112045676902643584*x^10+567670887753596894527885160*x^\
8-3247853676431518390484160*x^6+8540951172904850498976*x^4-89166525003134256\
96*x^2+1630685975353009
Common denominator of the automorphisms:
1082127126846483926849405749711530812813770260667795988675540445413184432626\
4556246999334774293671273630627346185396483491323445245943774279703339249636\
7161541863635667548818890358479885646712997136275082464175051007017249985595\
0876894254267849527932348601800286050618743660537390801087074595738232513353\
4706405533763484199760733507787838812602686127953357302670165492765345758087\
2575321640962179311033775270752850088872519860094770382932284543163950673553\
51652321198080
Complex polynomial:
x^128-32*x^124+2868*x^120+57984*x^116+1611446*x^112+18952640*x^108+888775515\
6*x^104+22298667072*x^100-3810662490927*x^96-59382332360224*x^92+29993761473\
3248*x^88-64150737153107264*x^84-676211212282606336*x^80+1024753209070743040\
*x^76+631659622979303655168*x^72+12508462408063384975360*x^68+11209743040903\
8705586176*x^64+667114010361043067981824*x^60+3543316645412041199173632*x^56\
+15751758554447665564057600*x^52+58281630419100249357443072*x^48+23271630656\
2818959578103808*x^44+666106872398472390609469440*x^40+725806286628402861645\
758464*x^36+499269757739132299481448448*x^32-274402934141407926195060736*x^2\
8+362690209527896953486049280*x^24-52256882163692046412414976*x^20+172796427\
80393019707228160*x^16-1202922872903081691971584*x^12+1903007975537608386150\
40*x^8+33745493908059586560*x^4+169416983509467136
Common denominator of the automorphisms:
6133743934817922979508428917562244735672869349190749937014875004248625082485\
8474467894909123095957225522833242634230878704924271638415995037911448681778\
9827452200989980653612411976708011921887888529413163400193888396397301322547\
1121738483456844301515387568128

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.