Group GAP4(96,132)

Name: C2 x (C12 : C4)
Maximal quotients:GAP4(32,23) GAP4(48,13) GAP4(48,34) GAP4(48,36) GAP4(48,42)
Real polynomial:
x^96-552*x^94+142740*x^92-23075760*x^90+2625595020*x^88-224379605088*x^86+15\
004809890496*x^84-807552948165120*x^82+35696224141465680*x^80-13157950700930\
45760*x^78+40920108609011707008*x^76-1083475267642380877056*x^74+24600442053\
034495010880*x^72-481680439739617169710080*x^70+8169404095388841861450240*x^\
68-120427566447032715872507904*x^66+1546992802345185187428319488*x^64-173493\
83061872678434984151040*x^62+170074947267611845574890890240*x^60-14582502172\
41980487247093432320*x^58+10937064315787957345686127884288*x^56-717245408819\
55103215596640608256*x^54+410905196577614537153284641546240*x^52-20536247946\
42761397273077130362880*x^50+8937041247295093925547427361157120*x^48-3378550\
1914515253310489528867487744*x^46+110630455991446345140392769989541888*x^44-\
312700369461402288411389257293496320*x^42+7598538876356941671211319823591014\
40*x^40-1579892821782836478343323354782760960*x^38+2795386473706395971883719\
157435334656*x^36-4182348171399224081731947033829834752*x^34+525263603997915\
2667621734848526745600*x^32-5490603983482659499337235970782658560*x^30+47299\
02846373981614328508292327014400*x^28-3319338300304955733855990122233724928*\
x^26+1872018649707723808598920206918352896*x^24-8348698233026167423562489126\
19110400*x^22+288777533549220006997593239983226880*x^20-75662582259884163411\
149035300454400*x^18+14580628225168881171518740758528000*x^16-19898048705137\
56708556445319168000*x^14+182800974237846297107111608320000*x^12-10523685180\
994692609799618560000*x^10+341337567000177903874867200000*x^8-53666556693594\
92569497600000*x^6+34702080273117138124800000*x^4-59311014694354944000000*x^\
2+11284439629824000000
Common denominator of the automorphisms:
6308849383679053780845269263881309494059969945941312938856086766392696074419\
5293725440638672064902562741205520689502861613772011407669838394810394209969\
2760293162999756900944535748652731397413742944196159362469830611904686492317\
9046414321334488688940437995520000000
Complex polynomial:
x^96+336*x^92+49536*x^88-4427664*x^84-4553718624*x^80-301651375104*x^76+1861\
87253731056*x^72+80684273385017856*x^68+15249401039625440256*x^64+5220297632\
1285444096*x^60+82716231978683629056*x^56+18418540888021026816*x^52-25784556\
6577404374784*x^48-350624958854308982784*x^44+390089231167445139456*x^40+241\
5680021696529309696*x^36+4702059337541883641856*x^32+3108967925070683897856*\
x^28+632510013171322515456*x^24-777073973593519816704*x^20-72860016797535987\
3024*x^16+75351368860575399936*x^12+398801423107334209536*x^8+32383874959091\
8004736*x^4+121439531096594251776
Common denominator of the automorphisms:
45578277106612816855057642828731752910943375593536275672465920000000

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.