Group GAP4(96,143)

Name: (C2 x (C3 : Q8)) : C2
Maximal quotients:GAP4(32,31) GAP4(48,39) GAP4(48,43)
Real polynomial:
x^96-528*x^94+132936*x^92-21252464*x^90+2423846940*x^88-210063317424*x^86+14\
389146905608*x^84-800064451395216*x^82+36802119356334774*x^80-14203041266595\
07280*x^78+46480670861124516744*x^76-1300466771412117898800*x^74+31305052278\
550214886508*x^72-651554333895691751911248*x^70+11769215079247654542478968*x\
^68-185030121078751938308595632*x^66+2537097699056491270507617585*x^64-30384\
160571833984214576322912*x^62+318081629525703054097840307632*x^60-2911756397\
743824597082432210848*x^58+23304400113778765843482975820272*x^56-16298196319\
0526049690882435603008*x^54+995018401315445694977101441723008*x^52-529548620\
0189822746563024424104576*x^50+24523212970473412061558953350553888*x^48-9859\
9299539812897862112122155016448*x^46+343263544679120351102040547555492608*x^\
44-1031481693882956673512316866282222592*x^42+266544701765444714947836614955\
2171520*x^40-5897914932068406496558966723163246592*x^38+11120336667502118271\
989490402032550912*x^36-17766338952875743243509224349300185088*x^34+23898875\
515494179181102553243548494592*x^32-26874130920023091201819646116579840000*x\
^30+25058470218619471333071749738311495680*x^28-1919987330937403987508428647\
8749384704*x^26+11966352896712794672468783452980289536*x^24-5998172074636536\
720124193865279799296*x^22+2387388139183493197343068254441357312*x^20-743581\
707246079008910217851336556544*x^18+178150810583014539673282658685296640*x^1\
6-32157275533063868875747115306778624*x^14+426124501780487059752252709168742\
4*x^12-400955741567350311519121921671168*x^10+256299863347428108396222171709\
44*x^8-1044556469053557063072039567360*x^6+24328504693190485821223600128*x^4\
-250781485944874262848339968*x^2+235297542595630617133056
Common denominator of the automorphisms:
4615880672475624994000778119472957812454661051318403048519058339690783935620\
4906083393604100118491920982032400080170964460905197613724153784682884444664\
7343261374958637496093509328759654865528975597267463804844148673997345349913\
3556264863580365451787323624270811425337647634563545116737086239739869257312\
0443021842719762190340227439524071409436985786691924919506958338591173911165\
639065600
Complex polynomial:
x^96-106*x^93+4260*x^90-77772*x^87+613150*x^84-3013444*x^81+40760400*x^78-17\
3221080*x^75+1121262556*x^72-8944571376*x^69+23898959936*x^66-242987347008*x\
^63-590978668136*x^60-252249650352*x^57+21741898200992*x^54+117220629587040*\
x^51+400921873338928*x^48+880091413745664*x^45+1446137546160576*x^42+1665027\
499702400*x^39+1387486133382976*x^36+504431313158400*x^33-7367892352512*x^30\
-78953891928064*x^27+337703698162432*x^24+25901844553728*x^21+13185655864934\
4*x^18+12141861949440*x^15+9231552488448*x^12-2108495867904*x^9+484777488384\
*x^6+74010599424*x^3+2176782336
Common denominator of the automorphisms:
1298520845890264405409891235561045692267783390354237864425384704470434700702\
0528113919453766286151625076805879883579470734326294116270607408826541511558\
7300274218746233109351886848

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.