Group GAP4(77,1)

Name: C77
Maximal quotients:GAP4(7,1) GAP4(11,1)
Real polynomial:
x^77+x^76-228*x^75-525*x^74+24013*x^73+86729*x^72-1510313*x^71-7689541*x^70+\
60886674*x^69+435577903*x^68-1512224187*x^67-17042933574*x^66+15055667461*x^\
65+476652176283*x^64+452916005258*x^63-9543046723802*x^62-24862519119605*x^6\
1+130303131036208*x^60+622132652124056*x^59-961104175884863*x^58-10177830560\
416663*x^57-3763503853200752*x^56+114437524742212323*x^55+217159031266161321\
*x^54-828176296752193768*x^53-3274709911926979352*x^52+2372149715536541576*x\
^51+29871525142231725437*x^50+24942422777768654161*x^49-17290411623830618186\
1*x^48-400833298289339273307*x^47+494791616495877171661*x^46+290465503436045\
0795437*x^45+1242139999339450043231*x^44-12449225798816577108163*x^43-213388\
93860395837587870*x^42+25558572610507914006302*x^41+113934798148364025066666\
*x^40+43474072328465979020791*x^39-330684472799159859719025*x^38-51170473186\
6197745432173*x^37+381810485122875895468712*x^36+1778512127444572148544967*x\
^35+944907611021050896353743*x^34-3075282274323853730520498*x^33-50835236568\
01509020837995*x^32+983360748757355935082975*x^31+10011320987066905516279526\
*x^30+7642575173920259899083759*x^29-8222243217186575541381675*x^28-17687087\
430090824532342616*x^27-4505460817471532443043636*x^26+166822779672413907344\
24349*x^25+17808758758200613042986629*x^24-2367089878484112084669052*x^23-17\
026809927994878121598686*x^22-10096598044330162969321404*x^21+50531279262354\
65419592615*x^20+9535613995631175192476966*x^19+3082642975274279748311070*x^\
18-2848941088123678992111356*x^17-2915973448867215511289549*x^16-48229047285\
5345377217157*x^15+696496272873161204104020*x^14+459129427200818383873001*x^\
13+41405810640467475707424*x^12-69623803187810714844941*x^11-318524225600057\
17784922*x^10-2453903690144409299433*x^9+1899313320731881828272*x^8+49737430\
5829726325885*x^7-17857046885803491548*x^6-19151895273623578046*x^5-91496058\
2925945790*x^4+297384028120570632*x^3+18514037774792941*x^2-1527908734990911\
*x-99709749782611
Common denominator of the automorphisms:
9590427386467303292705436019193859830269073002033189592239803261545147943614\
2169330747602935924667042900277066796892258400179302830731741861281588397838\
4910383432949482138448272891904860321055256209651612555741007191505943362875\
3432810051237972161471408284936298231750363189936627319383524556879882020836\
5965593038006582161150464094655840146650408866045680796226165363854780281192\
9925190186017921876375080443063341553084793501147538629275817592486535536935\
07975731625156847329809112054815246503487007037819817

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.