Group GAP4(96,34)

Name: (C3 : C16) : C2
Maximal quotients:GAP4(32,19) GAP4(48,15)
Real polynomial:
x^96-2688*x^94+2935296*x^92-1720442304*x^90+607953634176*x^88-13964970775795\
2*x^86+22177255992102288*x^84-2553005726254513152*x^82+220689264057456214944\
*x^80-14704200568802598537600*x^78+770019215241508501844736*x^76-32162250808\
909499561240832*x^74+1083514490882720425443623184*x^72-296957599176139148928\
47950080*x^70+666512733658135562542456600320*x^68-12314743965972891981642872\
960640*x^66+188069519754693195530072443430400*x^64-2381800688963367945561988\
400252160*x^62+25080636166681571930272068262250784*x^60-22007347002153786445\
4285075603930112*x^58+1612058535606748257151503110960854464*x^56-98724350350\
68254721917788169294562816*x^54+50606588541038040039544728406212524544*x^52-\
217316504642924485401485695186752741888*x^50+7821377593186084630861415821810\
95412728*x^48-2359377817516371287625197329444114423296*x^46+5962734624089505\
983787519545204398927872*x^44-12612456763566267163186500061331583214848*x^42\
+22292701018152812652947804087486671406592*x^40-3284964437143381587916509053\
5256240976384*x^38+40230169532926539210649554222122149374144*x^36-4078298396\
6218035184838479452793361092608*x^34+340498565491668287141649239610273055445\
76*x^32-23267722076483544595978243306271763319296*x^30+129155001915557996960\
51925230827283407872*x^28-5771048932753290117725412036069183458304*x^26+2053\
630579957342905703604148430562427840*x^24-5746788675833562326916255250662621\
78816*x^22+124597923693010424502345820433555592192*x^20-20565153957791093824\
547987672463183360*x^18+2529420327995773851448602327236395008*x^16-225682935\
881607349982747516642835456*x^14+14095516459789037073479089888616832*x^12-58\
6302187133501407282647944908800*x^10+15106350258107307777562857411840*x^8-21\
7829750510253585965110843392*x^6+1593771319480898668907575296*x^4-4911238541\
681730887473152*x^2+3488095555171683868944
Common denominator of the automorphisms:
1969100525069764067717797030793054446902584664843534357944412850666789762228\
7362186045046453208240585383919142658729255410809511828132443483152814350270\
8928568456478527472493472725330125439144892630781607920932571444082098291114\
1410499642774100341675122310805341265395310969289168509879951442249506417079\
1098125289048639174222411095287650400888022620802538886438726664388410506125\
4527805761393984410637252106836193080277709787303931974015888119866367795492\
8459829273715200
Complex polynomial:
x^96+11119680*x^88+32851187508480*x^80+179973754420635930624*x^72+6763721536\
8332933423063040*x^64+6759479710227861588465348771840*x^56+14127347144344772\
88468733310314479616*x^48+68553104650022261588858268837520343040*x^40+113945\
907874865941576757851365562122240*x^32+10285008739914203483471872067108864*x\
^24+230667432329079199863857479680*x^16+11430593720462997329018880*x^8+45035\
99627370496
Common denominator of the automorphisms:
4053315560048839919912153776965392660982187011988041656288398436284339751464\
6706292578430273379814672283931739171548432294965762153729266915634331453295\
53621647360000

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.