Group GAP4(112,24)

Name: C7 x D16
Maximal quotients:GAP4(16,7) GAP4(56,9)
Real polynomial:
x^112-775*x^110+260814*x^108-51245421*x^106+6664473086*x^104-615313910422*x^\
102+42166899187697*x^100-2211218932327999*x^98+90705853291676900*x^96-295907\
8913024285690*x^94+77758693624907271588*x^92-1662729003098290458402*x^90+291\
70826530684006735646*x^88-422746876173447767416890*x^86+50896308776012846841\
53648*x^84-51151580886956109956647786*x^82+430911792846464056511929252*x^80-\
3053621629887857966931288638*x^78+18258820026394419415797175127*x^76-9236715\
9162648379172646674837*x^74+396237210172242865620773851721*x^72-144430855690\
4495968440619090593*x^70+4481167893270088431841345625867*x^68-11852400899546\
500039327702328251*x^66+26759001632952952971434678889354*x^64-51624926539332\
003086081613819581*x^62+85185890073288978935357048272769*x^60-12030988031261\
6574423224329549454*x^58+145504545605541041443012934561321*x^56-150734071213\
971159377891017876216*x^54+133756461958756435454573769879400*x^52-1016418750\
51983493845800313836162*x^50+66104655235892219337128702124088*x^48-367605391\
54232788496527951171746*x^46+17455487018167286383299181782784*x^44-706462753\
4799252029083205118209*x^42+2431258057942742579600479899060*x^40-70937245753\
0497433956750458209*x^38+174839620143462099388601309854*x^36-362417625168628\
90843963990720*x^34+6284532358072099703129101573*x^32-9058694129292567600114\
03098*x^30+107717901711705603541538972*x^28-10471563300349564342822811*x^26+\
823318994299058734074806*x^24-51692418589070428529484*x^22+25531358085103766\
36849*x^20-97481273442659230888*x^18+2820222185540524908*x^16-60457298874519\
593*x^14+937027811936852*x^12-10215152396552*x^10+75741043166*x^8-364709299*\
x^6+1061606*x^4-1643*x^2+1
Common denominator of the automorphisms:
1834292099063646716397190570283747299366078161735006316887828389914596185891\
2789814736545096205392971826669317294490848947050817925864261428394507418019\
8049047845475685663378957329450335316871450645639413243897208299756470026742\
0056042215314090643498191039729712601164914634330364468116778124561213851912\
9826068521213819180834709450021875463261134324176764799635752461208347002699\
6647593473760201901996668322831849287202928187470831
Complex polynomial:
x^112+1837536*x^104+560220548352*x^96+29076689294450688*x^88+397672472350610\
030592*x^80+1926042865940986891075584*x^72+2864085354235437647795322880*x^64\
+949755834427939455965671194624*x^56+109720890759154417536726495920128*x^48+\
3890520173562606425574125114228736*x^40+15385953711429015237449762604056576*\
x^32+17152118560838305797079528636416*x^24+1663203176001509545769697280*x^16\
+37123270807606800678912*x^8+72057594037927936
Common denominator of the automorphisms:
1351664023274392309950315146013937593273659506638776538671403800270807549908\
813459915786641713935274275001517809501022168643514771846463488

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.