Group GAP4(96,76)
Name: C12 : Q8
Maximal quotients:GAP4(32,35) GAP4(48,34) GAP4(48,36)
Real polynomial:
x^96-528*x^94+132504*x^92-21055760*x^90+2381353620*x^88-204263721744*x^86+13\
827317045608*x^84-758917832362128*x^82+34432746555367746*x^80-13101474399129\
51536*x^78+42267107900380014984*x^76-1166013898038395515632*x^74+27688445131\
943169518020*x^72-568894840726918215631728*x^70+10154176651041875083079544*x\
^68-157929402277044185269849328*x^66+2145181719254759209515711663*x^64-25487\
347255983646605813228192*x^62+265128699739719058014605397616*x^60-2415655442\
184701369002538052768*x^58+19275983181001280780628355403304*x^56-13463432554\
3233630775187999947424*x^54+822270355377757001245076266736016*x^52-438499112\
0634061604424106971170208*x^50+20380288605463761550609400742441628*x^48-8236\
5921719529362653264822577836512*x^46+288668727613151703652836329813608848*x^\
44-874557772566846783403194867109070304*x^42+2282043526922055045667412406244\
100904*x^40-5107220694695707814879397101419771104*x^38+975642881526387765049\
7723222408912496*x^36-15822284925312302947647136305088013280*x^34+2164744016\
0345040305345748470145891951*x^32-24807974285794291932333600893668589136*x^3\
0+23617630663510871505894344450994497400*x^28-185001821879219616401693374777\
05827664*x^26+11790252402892365474674262316003714884*x^24-603198779910332109\
9969964223764083024*x^22+2437379997322924750081215881082229128*x^20-76223924\
6615975197736263943319541968*x^18+179696021278624208928183115439909442*x^16-\
30812687885284029315192903394937904*x^14+3649060315989208640671753901396328*\
x^12-275146034905951536079893425851440*x^10+11452164295095085868870575029012\
*x^8-199365409742462070640152236208*x^6+1463043240566774352853970328*x^4-393\
4140695340430654482480*x^2+1053065604448504237761
Common denominator of the automorphisms:
2520184483052686374499395110720433368054643241543864273884643799594837014376\
2749501330537364243399550350367083413438021387268001579718639639939499441237\
9147359952728856222294260810810987989632692441388201631556688669214888062152\
0297917866245726710882954610767800925921872111533678593311105451815791223748\
84209496124450395272957349488732568227675424352632832
Complex polynomial:
x^96+528*x^94+132504*x^92+21055760*x^90+2381353620*x^88+204263721744*x^86+13\
827317045608*x^84+758917832362128*x^82+34432746555367746*x^80+13101474399129\
51536*x^78+42267107900380014984*x^76+1166013898038395515632*x^74+27688445131\
943169518020*x^72+568894840726918215631728*x^70+10154176651041875083079544*x\
^68+157929402277044185269849328*x^66+2145181719254759209515711663*x^64+25487\
347255983646605813228192*x^62+265128699739719058014605397616*x^60+2415655442\
184701369002538052768*x^58+19275983181001280780628355403304*x^56+13463432554\
3233630775187999947424*x^54+822270355377757001245076266736016*x^52+438499112\
0634061604424106971170208*x^50+20380288605463761550609400742441628*x^48+8236\
5921719529362653264822577836512*x^46+288668727613151703652836329813608848*x^\
44+874557772566846783403194867109070304*x^42+2282043526922055045667412406244\
100904*x^40+5107220694695707814879397101419771104*x^38+975642881526387765049\
7723222408912496*x^36+15822284925312302947647136305088013280*x^34+2164744016\
0345040305345748470145891951*x^32+24807974285794291932333600893668589136*x^3\
0+23617630663510871505894344450994497400*x^28+185001821879219616401693374777\
05827664*x^26+11790252402892365474674262316003714884*x^24+603198779910332109\
9969964223764083024*x^22+2437379997322924750081215881082229128*x^20+76223924\
6615975197736263943319541968*x^18+179696021278624208928183115439909442*x^16+\
30812687885284029315192903394937904*x^14+3649060315989208640671753901396328*\
x^12+275146034905951536079893425851440*x^10+11452164295095085868870575029012\
*x^8+199365409742462070640152236208*x^6+1463043240566774352853970328*x^4+393\
4140695340430654482480*x^2+1053065604448504237761
Common denominator of the automorphisms:
2520184483052686374499395110720433368054643241543864273884643799594837014376\
2749501330537364243399550350367083413438021387268001579718639639939499441237\
9147359952728856222294260810810987989632692441388201631556688669214888062152\
0297917866245726710882954610767800925921872111533678593311105451815791223748\
84209496124450395272957349488732568227675424352632832
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.