Group GAP4(96,69)

Name: C4 x SL(2,3)
Maximal quotients:GAP4(48,31) GAP4(48,32) GAP4(48,33)
Real polynomial:
x^96-384*x^94+70128*x^92-8116352*x^90+669268272*x^88-41909646336*x^86+207431\
2660544*x^84-83392267415040*x^82+2777155515631968*x^80-77746090481920000*x^7\
8+1850380126929192192*x^76-37772760974273697792*x^74+665980880408302076672*x\
^72-10198090702810742882304*x^70+136227096391596018048000*x^68-1592954693264\
147687677952*x^66+16349555814251588875661568*x^64-14758626088251952737032601\
6*x^62+1173386612688431802392494080*x^60-8223910919544088031311822848*x^58+5\
0831448219144929948737634304*x^56-277063360029018015944388116480*x^54+133107\
6841996989066770326487040*x^52-5631221617271782474894232518656*x^50+20950231\
237805206102876891119616*x^48-68419894381475678551451665170432*x^46+19570669\
6215905377931930552500224*x^44-488956938650651535123716191027200*x^42+106355\
9544318702490143992278155264*x^40-2006383947525571263140936716124160*x^38+32\
68007245751200580477188311089152*x^36-4572019385353324764355538221793280*x^3\
4+5460912410075103672595735331733504*x^32-5529784238439637116942494600265728\
*x^30+4708633365292335833881266735808512*x^28-333960951225435936711422249848\
0128*x^26+1951099711381345798133012257308672*x^24-92676744488692260312070013\
2687872*x^22+352426683774825381343789056000000*x^20-105343829047947178683311\
625076736*x^18+24211909169812152992194828959744*x^16-41653565798692039563998\
32301568*x^14+518586007955645463308145786880*x^12-44703123034280161115325333\
504*x^10+2509189849667363604466237440*x^8-83684697110570339124903936*x^6+143\
9035008517030608371712*x^4-10606525787555871326208*x^2+19682754572515803136
Common denominator of the automorphisms:
3558049311699560434018673745933360223804202955017902521335609630993428140737\
3449184580550900242167870777160407199246385389311107577650434412065421082335\
38692438466971253678273755873280
Complex polynomial:
x^96+384*x^94+70128*x^92+8116352*x^90+669268272*x^88+41909646336*x^86+207431\
2660544*x^84+83392267415040*x^82+2777155515631968*x^80+77746090481920000*x^7\
8+1850380126929192192*x^76+37772760974273697792*x^74+665980880408302076672*x\
^72+10198090702810742882304*x^70+136227096391596018048000*x^68+1592954693264\
147687677952*x^66+16349555814251588875661568*x^64+14758626088251952737032601\
6*x^62+1173386612688431802392494080*x^60+8223910919544088031311822848*x^58+5\
0831448219144929948737634304*x^56+277063360029018015944388116480*x^54+133107\
6841996989066770326487040*x^52+5631221617271782474894232518656*x^50+20950231\
237805206102876891119616*x^48+68419894381475678551451665170432*x^46+19570669\
6215905377931930552500224*x^44+488956938650651535123716191027200*x^42+106355\
9544318702490143992278155264*x^40+2006383947525571263140936716124160*x^38+32\
68007245751200580477188311089152*x^36+4572019385353324764355538221793280*x^3\
4+5460912410075103672595735331733504*x^32+5529784238439637116942494600265728\
*x^30+4708633365292335833881266735808512*x^28+333960951225435936711422249848\
0128*x^26+1951099711381345798133012257308672*x^24+92676744488692260312070013\
2687872*x^22+352426683774825381343789056000000*x^20+105343829047947178683311\
625076736*x^18+24211909169812152992194828959744*x^16+41653565798692039563998\
32301568*x^14+518586007955645463308145786880*x^12+44703123034280161115325333\
504*x^10+2509189849667363604466237440*x^8+83684697110570339124903936*x^6+143\
9035008517030608371712*x^4+10606525787555871326208*x^2+19682754572515803136
Common denominator of the automorphisms:
3558049311699560434018673745933360223804202955017902521335609630993428140737\
3449184580550900242167870777160407199246385389311107577650434412065421082335\
38692438466971253678273755873280

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.