Group GAP4(63,3)

Name: C3 x (C7 : C3)
Maximal quotients:GAP4(9,2) GAP4(21,1)
Real polynomial:
x^63-588*x^61+156996*x^59-25292624*x^57-86436*x^56+2755579680*x^55+33948768*\
x^54-215680639104*x^53-5954518416*x^52+12578693019200*x^51+618173676288*x^50\
-559657439640768*x^49-42471391186560*x^48+19297583242785792*x^47+20468527993\
37472*x^46-521134876526443200*x^45-71612017275730176*x^44+110974661998195322\
88*x^43+1858257938569781504*x^42-187093196874662561280*x^41-3625299542493314\
9184*x^40+2501531359780013223936*x^39+536193881934792254208*x^38-26522030638\
042004696064*x^37-6040478403834984754176*x^36+222591604366237771703808*x^35+\
51941030819379574032384*x^34-1474248775644031924934656*x^33-3410464888599595\
03208448*x^32+7672758032791321048083456*x^31+1708691718052623035805696*x^30-\
31216822696039194158321664*x^29-6520558965876384147855360*x^28+9868679729826\
8868273987584*x^27+18883158080660545970479104*x^26-2407706910164218881910702\
08*x^25-41181418638329209087045632*x^24+449895235714805227950489600*x^23+666\
21699661433595468152832*x^22-638369632103371650006597632*x^21-77739601026536\
581431656448*x^20+681247469741480451142975488*x^19+6201642514649942110489804\
8*x^18-540736406285460143500836864*x^17-29776313288882544546742272*x^16+3148\
75114522884130234564608*x^15+4446185082921460375289856*x^14-1319601290159621\
54495508480*x^13+3996951607706339084730368*x^12+38651890043902672304603136*x\
^11-2921428689945629629022208*x^10-7547662089340752304013312*x^9+89417927782\
6250951098368*x^8+907695967376887023992832*x^7-140919803680088624988160*x^6-\
58345503102766358986752*x^5+10663259541914681081856*x^4+14934537173549973504\
00*x^3-313625280644549443584*x^2+1244544764462497792
Common denominator of the automorphisms:
1674203430260527836794880444870342950391977199736307107435642909094287779187\
8016295349963896822918186971416291306205464225785294098009150593934184228250\
265607546627766624359734522675200000

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.