Group GAP4(112,33)

Name: Q8 x D14
Maximal quotients:GAP4(16,12) GAP4(56,12)
Real polynomial:
x^112-1128*x^110+522360*x^108-136185336*x^106+22888968354*x^104-267708016029\
6*x^102+228903718662216*x^100-14811608786203548*x^98+744103641221480025*x^96\
-29603684044757749428*x^94+947540310084594316800*x^92-2471660168828986242752\
4*x^90+531092244083029200236988*x^88-9485324760685307300781804*x^86+14189013\
0015292807150865652*x^84-1789364885119783953085120896*x^82+19129988926782505\
343840797044*x^80-174212389069245668847243786336*x^78+1356999618311948700780\
181185348*x^76-9073083830123709315142352360460*x^74+522308495955315552988605\
11981316*x^72-259555566766259049217974758569536*x^70+11159170634515361232231\
91120522896*x^68-4158611748214385317650711062275536*x^66+1345418682430784369\
6951782205848614*x^64-37836085373155190631925353014162532*x^62+9257980575009\
1049081452832609215224*x^60-197236440569057873888999915332041096*x^58+366014\
252476505846563090311956247693*x^56-591709321707173621666999745996123288*x^5\
4+833218251750819441733075493482937016*x^52-10215743050751901470619845313823\
88364*x^50+1089789132768935339453094358673737734*x^48-1010542654816095632189\
122788132955248*x^46+813503539256169833829706326861191184*x^44-5676480245178\
08540639710796991575232*x^42+342686604196282534315823819109414276*x^40-17858\
5509028324970449946921510934180*x^38+80129470461702258832368918813614052*x^3\
6-30861202086449662499282695018063392*x^34+101664604452382214224360970218604\
04*x^32-2852825591738829311434529202273408*x^30+6786560932691150225255687366\
80788*x^28-136104042855870730725339132888228*x^26+22861779656306058817454756\
316348*x^24-3191905970831828025138025046412*x^22+367096530280185161581276915\
200*x^20-34407221246464635509805690876*x^18+2594528968938357137303090025*x^1\
6-154934659408347225531764244*x^14+7183241240060766032033544*x^12-2520288362\
64960153252792*x^10+6464520722748497522274*x^8-115388283965967727848*x^6+132\
7769034085936440*x^4-8601673963065336*x^2+22876792454961
Common denominator of the automorphisms:
1713089269793631024910956952348285560692562483107647209090612015378789050558\
4739922469438714210634786289980468643111021542953280958226578775267032986550\
90574577802323513375311
Complex polynomial:
x^112+58351104*x^104+17180527804416*x^96+952571088479453184*x^88+35117562299\
5791405121536*x^80+15234598808726103309359775744*x^72+1806671054927504757303\
99994576896*x^64+20234892049014155770148301658128384*x^56+126916428369412989\
504939710106184974336*x^48+27814729231858312189273891008341285535744*x^40+22\
610229626922240233735020643617879753752576*x^32+4961777395134801514446141118\
908923994496303104*x^24+308194990886372540202804465493641842358963142656*x^1\
6+144534901959150459323372062532916718132342554624*x^8+190052956155595595951\
3746286147116781605377540096
Common denominator of the automorphisms:
4433833416543537622561672060228448352377919140220916597742139237024970006227\
91852053526024243831111680000

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.