Group GAP4(108,12)

Name: C36 x C3
Maximal quotients:GAP4(36,2) GAP4(36,8) GAP4(54,9)
Real polynomial:
x^108-108*x^106+5670*x^104-192816*x^102+4774977*x^100-x^99-91790820*x^98+99*\
x^97+1425757410*x^96-4752*x^95-18391665600*x^94+147345*x^93+200974925844*x^9\
2-3317589*x^91-1888397395248*x^90+57810753*x^89+15434758301976*x^88-81142261\
2*x^87-110748368847168*x^86+9427117986*x^85+702752236347915*x^84-92458272555\
*x^83-3967278211998108*x^82+776877781494*x^81+20023299304020846*x^80-5656368\
566457*x^79-90714875699936736*x^78+36006759410193*x^77+370131483324606003*x^\
76-201830992464024*x^75-1363768232029899300*x^74+1001933818719525*x^73+45475\
77771250318529*x^72-4425348039612570*x^71-13747615355784522888*x^70+17455539\
629383974*x^69+37727830777522296321*x^68-61672736096848881*x^67-940821001764\
59492868*x^66+195636191608039248*x^65+213325692260576018760*x^64-55819385092\
5013160*x^63-439963780662212631552*x^62+1434411584472422556*x^61+82536856074\
6194246184*x^60-3322752169182320628*x^59-1408098653031459443040*x^58+6941676\
620840450172*x^57+2183477554837682097705*x^56-13080201912591515136*x^55-3075\
039263308752548599*x^54+22224425350475418840*x^53+3928911772940792618058*x^5\
2-34028212804090177140*x^51-4548002628127250618847*x^50+46904106366502034472\
*x^49+4761797622304021527060*x^48-58124274101142803253*x^47-4500467292801179\
209356*x^46+64643712225928304818*x^45+3830578649547957562086*x^44-6438585594\
4709558445*x^43-2928264549417014046237*x^42+57284514191997954918*x^41+200416\
1950455931369503*x^40-45389050380747480966*x^39-1223676124451894000277*x^38+\
31914867815865601164*x^37+663768681179060334904*x^36-19832349662660491983*x^\
35-318366302366933036307*x^34+10839832274292363720*x^33+13428823632490937084\
4*x^32-5182531192771448868*x^31-49503407147568174936*x^30+215357208845197005\
9*x^29+15833734239728568888*x^28-772074985448145490*x^27-4357540639138936140\
*x^26+236754857921795784*x^25+1021761535942649790*x^24-61474608011138976*x^2\
3-201780137891429154*x^22+13356152067342753*x^21+33099485941145673*x^20-2393\
848134548829*x^19-4435036089609567*x^18+347938479411012*x^17+475456757091516\
*x^16-40155874598925*x^15-39725210753055*x^14+3583433391858*x^13+24993085395\
33*x^12-238833178155*x^11-112930215606*x^10+11336759148*x^9+3417040485*x^8-3\
57302934*x^7-61665975*x^6+6658281*x^5+524799*x^4-57951*x^3-972*x^2+108*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^108-x^107+3*x^106-4*x^105+9*x^104-14*x^103+28*x^102-47*x^101+89*x^100-155*\
x^99+286*x^98-507*x^97+924*x^96-1652*x^95+2993*x^94-5373*x^93+9707*x^92-1746\
0*x^91+31501*x^90-56714*x^89+102256*x^88-184183*x^87+331981*x^86-598091*x^85\
+1077870*x^84-1942071*x^83+3499720*x^82-6305992*x^81+11363361*x^80-20475625*\
x^79+36896355*x^78-66484244*x^77+119801329*x^76-215873462*x^75+388991876*x^7\
4-700937471*x^73+1263047761*x^72+623891190*x^71+1201266861*x^70+1309563280*x\
^69+1716861632*x^68+2103531789*x^67+2639754755*x^66+3284170455*x^65+40988708\
44*x^64+5109224821*x^63+6372687322*x^62+7944633164*x^61+9909966301*x^60+1235\
1987349*x^59+15412578417*x^58+19201362582*x^57+23975781601*x^56+29839521980*\
x^55+37313403804*x^54+46341421757*x^53+58124907831*x^52+71871339487*x^51+907\
19897932*x^50+111147688873*x^49+142163446478*x^48+170851829200*x^47+22462275\
2629*x^46+259244352249*x^45+360852982209*x^44+382258474918*x^43+598691841749\
*x^42+526678090296*x^41+1052964068120*x^40+599083954221*x^39+2033522272315*x\
^38+217609704247*x^37+4448518794604*x^36-1979777113795*x^35+881083704774*x^3\
4-392119137760*x^33+174509433513*x^32-77664004259*x^31+34563733525*x^30-1538\
2308530*x^29+6845771321*x^28-3046654856*x^27+1355888968*x^26-603427359*x^25+\
268550439*x^24-119516189*x^23+53189708*x^22-23671647*x^21+10534874*x^20-4688\
460*x^19+2086561*x^18-928607*x^17+413269*x^16-183922*x^15+81853*x^14-36428*x\
^13+16212*x^12-7215*x^11+3211*x^10-1429*x^9+636*x^8-283*x^7+126*x^6-56*x^5+2\
5*x^4-11*x^3+5*x^2-2*x+1
Common denominator of the automorphisms:
4230991740003854569199

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.