Group GAP4(131,1)
Name: C131
Maximal quotient:GAP4(1,1)
Real polynomial:
x^131+x^130-130*x^129-129*x^128+8256*x^127+8128*x^126-341376*x^125-333375*x^\
124+10334625*x^123+10009125*x^122-244222650*x^121-234531275*x^120+4690625500\
*x^119+4465475476*x^118-75275158024*x^117-71025753942*x^116+1029873432159*x^\
115+962889794295*x^114-12196604061070*x^113-11296854581155*x^112+12652477130\
8936*x^111+116068178638776*x^110-1160681786387760*x^109-1054285955968882*x^1\
08+9488573603719938*x^107+8531742652084314*x^106-69566517009302868*x^105-619\
02409203193230*x^104+459846468366578280*x^103+404822104630406520*x^102-27527\
90311486764336*x^101-2396826047070372396*x^100+14980162794189827475*x^99+128\
95966231519938435*x^98-74341452393467880390*x^97-63255446334792845595*x^96+3\
37362380452228509840*x^95+283623240203200959600*x^94-1403188662057941589600*\
x^93-1165147728315969355650*x^92+5359679550253459035990*x^91+439397152318076\
3714190*x^90-18831306527917558775100*x^89-15236238918042388463490*x^88+60944\
955672169553853960*x^87+48644138930997717296280*x^86-18188678035068711684696\
0*x^85-143151632683411156777700*x^84+501030714391939048721950*x^83+388649993\
406831224709550*x^82-1274771978374406417047324*x^81-974118209889876601705974\
*x^80+2997286799661158774479920*x^79+2255101496887919458894416*x^78-65147376\
57676211770139424*x^77-4823411535010272175968612*x^76+1309211702359931019191\
4804*x^75+9533094920096585091200100*x^74-24325828416798182646510600*x^73-174\
09661513983013070541900*x^72+41783187633559231369300560*x^71+293723398216109\
44823963760*x^70-66324638306863423796047200*x^69-45764000431735762419272568*\
x^68+97248500917438495140954207*x^67+65814642035034133075191231*x^66-1316292\
84070068266150382462*x^65-87305137393412625507906735*x^64+164339082152306118\
603118560*x^63+106735692531910159505118240*x^62-189074655342240853980495168*\
x^61-120141187248715542633439638*x^60+200235312081192571055732730*x^59+12435\
6667503056438866191906*x^58-194937478788574958222679204*x^57-118206769052646\
517220135262*x^56+174199449130215920113883544*x^55+1030211795931384473791784\
40*x^54-142644710205884004063477840*x^53-82175756966433176253960060*x^52+106\
828484056363129130148078*x^51+59870908646972742699313758*x^50-73013303228015\
539877211900*x^49-39751687313030682822037590*x^48+45430499786320780368042960\
*x^47+23991387527607603115708080*x^46-25665205262091854495873760*x^45-131242\
52690842425594480900*x^44+13124252690842425594480900*x^43+648669960581867012\
1410100*x^42-6054252965430758779982760*x^41-2886329902123966395108060*x^40+2\
509852088803449039224400*x^39+1151579193686288382702960*x^38-931064028937850\
181759840*x^37-410111536555957818156120*x^36+307583652416968363617090*x^35+1\
29703949814384249718050*x^34-89998659054878867151300*x^33-362189725464756416\
58450*x^32+23180142429744410661408*x^31+8871412534840453463008*x^30-52184779\
61670854978240*x^29-1891698261105684929612*x^28+1018606755979984192868*x^27+\
348131422929868015284*x^26-170781452758048460328*x^25-54737645114759121900*x\
^24+24327842273226276400*x^23+7266758081613043600*x^22-2906703232645217440*x\
^21-803167998494073240*x^20+286845713747883300*x^19+72667580816130436*x^18-2\
2947657099830664*x^17-5271759063474612*x^16+1454278362337824*x^15+2988243210\
28320*x^14-70907466006720*x^13-12802736917880*x^12+2560547383576*x^11+396704\
524216*x^10-65033528560*x^9-8361453672*x^8+1078897248*x^7+109453344*x^6-1042\
4128*x^5-766480*x^4+47905*x^3+2145*x^2-66*x-1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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