Group GAP4(125,1)

Name: C125
Maximal quotient:GAP4(25,1)
Real polynomial:
x^125+x^124-124*x^123-123*x^122+7503*x^121+7381*x^120-295240*x^119-287980*x^\
118+8495410*x^117+8214570*x^116-190578024*x^115-182637273*x^114+3470108187*x\
^113+3295144749*x^112-52722315984*x^111-49594720968*x^110+681927413310*x^109\
+635299897870*x^108-7623598774440*x^107-7032112662630*x^106+74540394223878*x\
^105+68058620813106*x^104-643463324051184*x^103-581374757695368*x^102+494168\
5440410628*x^101+4416904685676756*x^100-33976189889821200*x^99-3003252499189\
5525*x^98+210227674943268675*x^97+183712472698171725*x^96-117575982526829904\
0*x^95-1015428940004440080*x^94+5965645022526085470*x^93+5089954010045192190\
*x^92-27545633466126922440*x^91-23209746716829166130*x^90+116048733584145830\
650*x^89+96526516719523167550*x^88-447070182700949407600*x^87-36693496127342\
0740200*x^86+1577820333475709182860*x^85+1277283127099383624220*x^84-5109132\
508397534496880*x^83-4077480751894186185010*x^82+15197882802514693962310*x^8\
1+11951733077705730203370*x^80-41571245487672105055200*x^79-3219733719143231\
6660400*x^78+104641345872155029146300*x^77+79776075565900368755100*x^76-2425\
19269720337121015504*x^75-181889452290252840761628*x^74+51768536421071962370\
6172*x^73+381727591791742752833844*x^72-1017940244777980674223584*x^71-73748\
7320196292121121168*x^70+1843718300490730302802920*x^69+13115109560191792875\
60840*x^68-3075267069286351432901280*x^67-2146280142106099437545685*x^66+472\
1816312633418762600507*x^65+3230716424433391784937189*x^64-66698661665721636\
85031616*x^63-4470229452064322469755232*x^62+8661069563374624785150762*x^61+\
5680916595331743138647274*x^60-10328939264239532979358680*x^59-6623993658588\
396149806110*x^58+11299753888180205196728070*x^57+7077867820068919738609890*\
x^56-11324588512110271581775824*x^55-6920581868511832633307448*x^54+10380872\
802767748949961172*x^53+6181868073558322408403844*x^52-868803080608196662802\
7024*x^51-5035108762615685204879298*x^50+6625143108704848953788550*x^49+3731\
402440534914927995850*x^48-4592495311427587603687200*x^47-250985208880344903\
9224400*x^46+2886329902123966395108060*x^45+1528057007006805738586620*x^44-1\
639866056299986646288080*x^43-839455243105945545123660*x^42+8394552431059455\
45123660*x^41+414670662257153823494820*x^40-385740150936887277669600*x^39-18\
3461779104129314989200*x^38+158444263771748044763400*x^37+723757748093170081\
01800*x^36-57900619847453606481440*x^35-25331521183260952835630*x^34+1872329\
8265888530356770*x^33+7821124592080019009790*x^32-5325020998862991666240*x^3\
1-2116354499548112072480*x^30+1322721562217570045300*x^29+498167861094928978\
100*x^28-284667349197102273200*x^27-101131821425286333900*x^26+5258854714114\
8893628*x^25+17529515713716297876*x^24-8249183865278257824*x^23-256393552569\
4593648*x^22+1084741953178481928*x^21+312049055023946856*x^20-11775436038639\
5040*x^19-31074067324187580*x^18+10358022441395860*x^17+2480089880334220*x^1\
6-721480692460864*x^15-154603005527328*x^14+38650751381832*x^13+728202562266\
4*x^12-1533058025824*x^11-247994680648*x^10+42757703560*x^9+5743572120*x^8-7\
78789440*x^7-82598880*x^6+8259888*x^5+635376*x^4-41664*x^3-1953*x^2+63*x+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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