Group GAP4(68,5)

Name: C34 x C2
Maximal quotients:GAP4(4,2) GAP4(34,2)
Real polynomial:
x^68-266*x^66+33040*x^64-2548744*x^62+137005584*x^60-5458551520*x^58+1674035\
24288*x^56-4051705565312*x^54+78733158516224*x^52-1243254577607168*x^50+1608\
8487769069568*x^48-171603804025137152*x^46+1514205753342132224*x^44-11074593\
413940027392*x^42+67165738774257352704*x^40-337485378120174174208*x^38+14018\
80702639693561856*x^36-4797756508600469159936*x^34+13464942442447389851648*x\
^32-30802585791212719964160*x^30+57005012663158732488704*x^28-84562204554954\
488676352*x^26+99433681024595179601920*x^24-91447925898837179236352*x^22+647\
37118202180931682304*x^20-34606588016859929378816*x^18+136494687305302236200\
96*x^16-3858982079523022962688*x^14+753184723771315978240*x^12-9639136170844\
4090368*x^10+7507112166680428544*x^8-316613620282687488*x^6+5848568636112896\
*x^4-28114855919616*x^2+17179869184
Common denominator of the automorphisms:
3803433887495282322071556230571803586649317095030387781382499312652918464186\
01302641014875003843217131006977611803394242261866138968940085248
Complex polynomial:
x^68+133*x^66+8260*x^64+318593*x^62+8562849*x^60+170579735*x^58+2615680067*x\
^56+31653949729*x^54+307551400454*x^52+2428231596889*x^50+15711413836982*x^4\
8+83790919934149*x^46+369679138999544*x^44+1351879078850101*x^42+40994713607\
33481*x^40+10299236392827581*x^38+21391001932368371*x^36+36603977268985513*x\
^34+51364679117002067*x^32+58751269895959320*x^30+54364216483267529*x^28+403\
22401311375851*x^26+23706836944721980*x^24+10901442277292869*x^22+3858632934\
223469*x^20+1031356692816613*x^18+203392933764014*x^16+28751657005571*x^14+2\
805831744415*x^12+179542902314*x^10+6991543031*x^8+147434706*x^6+1361726*x^4\
+3273*x^2+1
Common denominator of the automorphisms:
4427779800602330735502247967025967764958409935969845137305673342958230599977\
5568796439896687381344047725081631425231956208807665269

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.