Group GAP4(60,2)

Name: C3 x (C5 : C4)
Maximal quotients:GAP4(12,2) GAP4(20,1) GAP4(30,2)
Real polynomial:
x^60-2406*x^58+2602089*x^56-1685516082*x^54+734895624618*x^52-22975877059119\
0*x^50+53578763962467489*x^48-9571812167168224776*x^46+133535892526830737656\
2*x^44-147571805365214889654972*x^42+13060023730854015602934765*x^40-9334191\
13408754479283850540*x^38+54227183083974611994436916031*x^36-257324783125716\
4788961530989544*x^34+100085764162982445652245867107181*x^32-319758412429053\
7737371135563035636*x^30+83987071930380440015519629073881959*x^28-1812885284\
009941157733472630154109402*x^26+32102747993359730974388680199677216680*x^24\
-464886763295707967243342596129639064736*x^22+547900133019047535271189475625\
4185565149*x^20-52204123751585647780845666642683610209304*x^18+3985406923381\
38085853679886304316128626929*x^16-24092510006118618700945507488357243146978\
64*x^14+11354750092271149472331493390799030821402089*x^12-408627188852749623\
17928979781064694445765142*x^10+10911743445880649677675914861710156480659253\
4*x^8-207427481133337218727017282643423198388515053*x^6+26296398689707693832\
8157494166260061053865298*x^4-197469211134321820729571451611742105772659147*\
x^2+65823070378107273576523817203914035257553049
Common denominator of the automorphisms:
136972365338718636249714442766055368975824752685397905078390616265748819773
Complex polynomial:
x^60+2406*x^58+2602089*x^56+1685516082*x^54+734895624618*x^52+22975877059119\
0*x^50+53578763962467489*x^48+9571812167168224776*x^46+133535892526830737656\
2*x^44+147571805365214889654972*x^42+13060023730854015602934765*x^40+9334191\
13408754479283850540*x^38+54227183083974611994436916031*x^36+257324783125716\
4788961530989544*x^34+100085764162982445652245867107181*x^32+319758412429053\
7737371135563035636*x^30+83987071930380440015519629073881959*x^28+1812885284\
009941157733472630154109402*x^26+32102747993359730974388680199677216680*x^24\
+464886763295707967243342596129639064736*x^22+547900133019047535271189475625\
4185565149*x^20+52204123751585647780845666642683610209304*x^18+3985406923381\
38085853679886304316128626929*x^16+24092510006118618700945507488357243146978\
64*x^14+11354750092271149472331493390799030821402089*x^12+408627188852749623\
17928979781064694445765142*x^10+10911743445880649677675914861710156480659253\
4*x^8+207427481133337218727017282643423198388515053*x^6+26296398689707693832\
8157494166260061053865298*x^4+197469211134321820729571451611742105772659147*\
x^2+65823070378107273576523817203914035257553049
Common denominator of the automorphisms:
136972365338718636249714442766055368975824752685397905078390616265748819773

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.