Group GAP4(96,163)

Name: C6 x (C4 : C4)
Maximal quotients:GAP4(32,23) GAP4(48,22) GAP4(48,44) GAP4(48,45) GAP4(48,46)
Real polynomial:
x^96-288*x^94+38532*x^92-3194352*x^90+184694355*x^88-7948919952*x^86+2654015\
14212*x^84-7073916476472*x^82+153695376593991*x^80-2765716719720264*x^78+417\
33856914658308*x^76-533324095291526472*x^74+5818008709232862750*x^72-5453209\
0234004948136*x^70+441493835274743930820*x^68-3100790744455684499856*x^66+18\
959484423931800243921*x^64-101209305790433195854920*x^62+4727483806672381692\
94164*x^60-1935545005320363836185752*x^58+6954767771934785386910562*x^56-219\
49354748419644547082880*x^54+60869129557659188446757844*x^52-148325387708894\
988711823416*x^50+317481379475683224566262366*x^48-5964607998572841413665632\
00*x^46+982462286562171977764693800*x^44-1416632882072562632881139400*x^42+1\
784689486851608000062017525*x^40-1959730137562607016133986000*x^38+187031797\
3071140926290259500*x^36-1546150523369713628416650000*x^34+11027778680982396\
72965810625*x^32-675507308387075029584000000*x^30+35348579184895134761385000\
0*x^28-157055552105490284118750000*x^26+58830761106740397115546875*x^24-1842\
7903379563428883125000*x^22+4781266969304257301250000*x^20-10161879329142939\
37500000*x^18+174599209516497437109375*x^16-23869817924085140625000*x^14+254\
6257401779554687500*x^12-206747170370859375000*x^10+12366953328339843750*x^8\
-520623038671875000*x^6+14385505078125000*x^4-230660156250000*x^2+1601806640\
625
Common denominator of the automorphisms:
2248628759471885212206030093080559018307929792139802620910992162782362739139\
5892276263621165674386333805164864678477781458387573961235086375917602581815\
1566141435757342407173932901207125552035317307402029777047214517888004956054\
6875
Complex polynomial:
x^96-60*x^92+1611*x^88+13092*x^84-3439953*x^80+52424388*x^76+3531146166*x^72\
-283519382652*x^68+9572320340001*x^64-45549060108156*x^60+98421740972442*x^5\
6+61275765487140*x^52-1238108665116978*x^48+1619018701085304*x^44+8808775370\
313669*x^40-57120670499178420*x^36+155664665492947857*x^32-10360729315655280\
0*x^28+26893659128727915*x^24+14891693551093296*x^20-17813678154466113*x^16+\
464314157974764*x^12+5993719623199782*x^8-4941387170271576*x^4+1853020188851\
841
Common denominator of the automorphisms:
72771326159880032582814749790423305181690465486193203354975

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.