Group GAP4(105,2)

Name: C105
Maximal quotients:GAP4(15,1) GAP4(21,2) GAP4(35,1)
Real polynomial:
x^105+x^104-104*x^103-103*x^102+5253*x^101+5151*x^100-171700*x^99-166650*x^9\
8+4082925*x^97+3921225*x^96-75287520*x^95-71523144*x^94+1120529256*x^93+1052\
618392*x^92-13834413152*x^91-12846240784*x^90+144520208820*x^89+132601016340\
*x^88-1296543270880*x^87-1174992339235*x^86+10104934117421*x^85+904125684190\
3*x^84-69042324974532*x^83-60962903966874*x^82+416579843773639*x^81+36282760\
5867363*x^80-2232785266876080*x^79-1917283000904460*x^78+10682005290753420*x\
^77+9038619861406740*x^76-45795673964460816*x^75-38163061637050680*x^74+1765\
04160071359395*x^73+144773075114710515*x^72-613156553427009240*x^71-49470585\
5605882455*x^70+1923856105133987325*x^69+1525816910968334775*x^68-5460818418\
202461300*x^67-4254358535111219850*x^66+14039383165867025505*x^65+1073599889\
1545372445*x^64-32719234717090658880*x^63-24539426037817994160*x^62+69156564\
288396165360*x^61+50825908693881519120*x^60-132589327027517006400*x^59-95399\
637739311016800*x^58+230549124536668290600*x^57+162238272822099908200*x^56-3\
63413731121503794368*x^55-249846940146033858628*x^54+518912875687916475612*x\
^53+348131422929868015284*x^52-670475333050116177584*x^51-438387717763537500\
728*x^50+782835210292031251300*x^49+498167861094928978100*x^48-8245537011226\
41067200*x^47-509921367799528028400*x^46+781879430625942976880*x^45+46912765\
8375565786128*x^44-665858611887899825472*x^43-386917842042968817504*x^42+507\
829667681396572974*x^41+285219402396400814958*x^40-345720487753213109040*x^3\
9-187265264199657100730*x^38+209296471752557936110*x^37+10906999232175554417\
0*x^36-112186277816662845432*x^35-56093138908331422716*x^34+5297685341342412\
1454*x^33+25336755980333275478*x^32-21912870037044995008*x^31-99896907521822\
77136*x^30+7886597962249166160*x^29+3413602103063071920*x^28-245079125348117\
9840*x^27-1002596421878664480*x^26+651687674221131912*x^25+25064910546966612\
0*x^24-146721427591999680*x^23-52728013040874885*x^22+27619435402363035*x^21\
+9206478467454345*x^20-4282083008118300*x^19-1312251244423350*x^18+536830054\
536825*x^17+149608375854525*x^16-53194089192720*x^15-13298522298180*x^14+404\
7376351620*x^13+891794789340*x^12-227692286640*x^11-43183019880*x^10+8996462\
475*x^9+1420494075*x^8-231917400*x^7-28989675*x^6+3478761*x^5+316251*x^4-248\
04*x^3-1378*x^2+53*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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