Group GAP4(126,6)

Name: C126
Maximal quotients:GAP4(18,2) GAP4(42,6) GAP4(63,2)
Real polynomial:
x^126-127*x^124+7874*x^122-317627*x^120+9373870*x^118-215783414*x^116+403390\
1508*x^114-62957677107*x^112+836966766246*x^110-9622753498930*x^108+96819704\
435388*x^106-860602733312046*x^104+6809986846208364*x^102-48276465456319212*\
x^100+308212579714806600*x^98-1779927647853008115*x^96+9332593613067123630*x\
^94-44566877521224285570*x^92+194349747233228841660*x^90-7756941665887642364\
50*x^88+2838895660151028738260*x^86-9542056302448336486820*x^84+294936285712\
03949141080*x^82-83918744170407223183190*x^80+219981174038931555917100*x^78-\
531578037030547548063204*x^76+1184613355941646706498808*x^74-243503856499116\
2674469772*x^72+4617086110242983772371256*x^70-8074214626286991326067960*x^6\
8+13018630593312221065948752*x^66-19344215216272392995169819*x^64+2647103134\
8583274624969226*x^62-33331994986320525688307478*x^60+3858162607524766730525\
1540*x^58-41001964108539601713841854*x^56+39950631695500124746820268*x^54-35\
631644485175786936353212*x^52+29036313483484467414721896*x^50-21574183969372\
200439260150*x^48+14581172613782590641706860*x^46-8940582867554725175090820*\
x^44+4958642598811864382823480*x^42-2479321299405932191411740*x^40+111338634\
4749651915091800*x^38-447164922200266704110040*x^36+159856059144056696155280\
*x^34-50592742122720071389570*x^32+14089118059491665450260*x^30-342827833472\
7171341900*x^28+723055066960639773928*x^26-130955793861292342956*x^24+201470\
45209429591224*x^22-2599287321767305752*x^20+276940810538373520*x^18-2391761\
5455586804*x^16+1636215141830888*x^14-86116586412152*x^12+3356868435856*x^10\
-92037768680*x^8+1648437648*x^6-17196816*x^4+85344*x^2-127
Common denominator of the automorphisms:
1
Complex polynomial:
x^126+x^125+x^124+x^123+x^122+x^121+x^120+x^119+x^118+x^117+x^116+x^115+x^11\
4+x^113+x^112+x^111+x^110+x^109+x^108+x^107+x^106+x^105+x^104+x^103+x^102+x^\
101+x^100+x^99+x^98+x^97+x^96+x^95+x^94+x^93+x^92+x^91+x^90+x^89+x^88+x^87+x\
^86+x^85+x^84+x^83+x^82+x^81+x^80+x^79+x^78+x^77+x^76+x^75+x^74+x^73+x^72+x^\
71+x^70+x^69+x^68+x^67+x^66+x^65+x^64+x^63+x^62+x^61+x^60+x^59+x^58+x^57+x^5\
6+x^55+x^54+x^53+x^52+x^51+x^50+x^49+x^48+x^47+x^46+x^45+x^44+x^43+x^42+x^41\
+x^40+x^39+x^38+x^37+x^36+x^35+x^34+x^33+x^32+x^31+x^30+x^29+x^28+x^27+x^26+\
x^25+x^24+x^23+x^22+x^21+x^20+x^19+x^18+x^17+x^16+x^15+x^14+x^13+x^12+x^11+x\
^10+x^9+x^8+x^7+x^6+x^5+x^4+x^3+x^2+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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