Group GAP4(112,4)

Name: C56 : C2
Maximal quotients:GAP4(16,6) GAP4(56,4)
Real polynomial:
x^112-624*x^110+165600*x^108-25284992*x^106+2544890792*x^104-182810435136*x^\
102+9871533058592*x^100-415424513292448*x^98+13986664307998552*x^96-38423756\
0062013120*x^94+8744291263988379072*x^92-166818052230633044672*x^90+26931229\
39329230411936*x^88-37073641181628826131456*x^86+437877013920064490589984*x^\
84-4459761398065084784887168*x^82+39332391476886194197756304*x^80-3014137121\
70732274734816256*x^78+2012758510265398800261509760*x^76-1174013249396870203\
0249446656*x^74+59934367449074080709549969152*x^72-2682451875230958141319309\
62176*x^70+1054044871443517098579004676224*x^68-3640664905382288684262074352\
640*x^66+11064687816766759931296613046272*x^64-29614573569910905893489346962\
944*x^62+69852961318875860444568107956224*x^60-14528422316453045554441353127\
5264*x^58+266552387458741959109174565388416*x^56-431503536743863777314882169\
362432*x^54+616390135609902074051854340716544*x^52-7768637177779680270872211\
86412544*x^50+863587901835121901567876906168320*x^48-84623372770228853326369\
8919227392*x^46+730343777261620245314591642484736*x^44-554517801542847387393\
112312643584*x^42+369830530794904819616888025645056*x^40-2162559322438130171\
41439237193728*x^38+110611223907081881890903696605184*x^36-49347782036433281\
477260666208256*x^34+19138067721124367108902043516928*x^32-64258807015472175\
85435800764416*x^30+1859033517226020011510178250752*x^28-4607843491143806062\
17700507648*x^26+97197035175222987897266241536*x^24-173104817194192418582759\
99744*x^22+2578560215110506399423004672*x^20-317667541722586379569856512*x^1\
8+31930475465681133975371776*x^16-2575567766050701756596224*x^14+16330373161\
9504437854208*x^12-7926224578271179177984*x^10+284286325001103081472*x^8-716\
9910926680784896*x^6+117900631846420480*x^4-1108307720798208*x^2+43980465111\
04
Common denominator of the automorphisms:
8885746660118088434309088074378530066564314227428359154772318504172814678374\
1964417029555103916558443587639831548910222405958086214901772944020340861497\
8717508226685459226079468296548497882668375450368225935410413172125121919870\
4969616702833771783696756430773334227187702422097281003972224384674774981343\
4871137845214963479265579372993255384789715428585256397168313935872974628547\
6522685378916937668086001503440815028075484514270457478636311523769109377849\
11230434017280
Complex polynomial:
x^112+837850176*x^96-7238837352960*x^80+17037570606907392*x^64+4476029859126\
116352*x^48+341441891069581066240*x^32-39254499152556457984*x^16+11529215046\
06846976
Common denominator of the automorphisms:
19285760956580791089157852085331661316515653422887731200

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.