Group GAP4(112,38)

Name: C14 x D8
Maximal quotients:GAP4(16,11) GAP4(56,9) GAP4(56,13)
Real polynomial:
x^112-500*x^110+110816*x^108-14616800*x^106+1298881779*x^104-83358776300*x^1\
02+4040215871328*x^100-152560254316820*x^98+4591734151663215*x^96-1120879152\
65596620*x^94+2249522781788768256*x^92-37521545519664801620*x^90+52473845167\
4488404708*x^88-6197234927040836539860*x^86+62175477244692618156432*x^84-532\
520448183796347414420*x^82+3909429363561365011070795*x^80-246834847639397034\
34591200*x^78+134402755546453501592701680*x^76-632530756949536797166542680*x\
^74+2577431531601703047513234576*x^72-9105473179743320248304631980*x^70+2791\
5103919912718101938939840*x^68-74311243843393378837111591040*x^66+1718147220\
69046842620561405121*x^64-345008658747513027236680199540*x^62+60145332823939\
8812972058534016*x^60-909666426404753707841257743940*x^58+119246178149795690\
8291498650712*x^56-1353097813956724032110691781640*x^54+13269075398164341245\
06179762000*x^52-1122388840177224622080334464220*x^50+8170656363927523724528\
22040298*x^48-510564634459035632519165710700*x^46+27304681906111597402546668\
6720*x^44-124556088033859632198566513080*x^42+48285016364984914900682113656*\
x^40-15840879997636417706406681500*x^38+4378033428535536873147388688*x^36-10\
14211705198593161960516580*x^34+195855607421003277464925455*x^32-31338918426\
712349447146780*x^30+4127693558399792116231264*x^28-444284613733754030859780\
*x^26+38768065492912109603334*x^24-2718195690640103837860*x^22+1516083953853\
93389616*x^20-6649784576044553300*x^18+226303137964862595*x^16-5879784885221\
080*x^14+114329058075248*x^12-1621802787500*x^10+16222559755*x^8-109077160*x\
^6+458336*x^4-1060*x^2+1
Common denominator of the automorphisms:
1063440153477685749320296157967803963900494154701464132244068137169503269352\
8310888494734499874166820834230092490208927209414589771650038121894097368174\
3260267926084324244527932349207721623035196908033105701560376858250557736511\
165449629313439734773951299726234022589388585923051830735943
Complex polynomial:
x^112+19141*x^104+4200825722*x^96+16187380737683*x^88+689891381664511482*x^8\
0+64289080360389503734*x^72+59286774628941551416205*x^64+1482362060395707371\
465889*x^56+345427174364917396880007248*x^48+618366093693677070444755456*x^4\
0+14669058928934945848712114176*x^32+170387982848967926480896*x^24+278210569\
54759905280*x^16+23049160097792*x^8+268435456
Common denominator of the automorphisms:
8549330866247639814667457146387541744190654730815963021041541860831381126897\
8879242353589946019969280703029286689761662136086344118320097891771378856052\
0811973173051392

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.