Group GAP4(132,10)

Name: C66 x C2
Maximal quotients:GAP4(12,5) GAP4(44,4) GAP4(66,4)
Real polynomial:
x^132-6336*x^130+6079392*x^128-2115799840*x^126+365321851840*x^124-377082840\
44288*x^122+2593163214576128*x^120-127324361638305664*x^118+4682945101438053\
888*x^116-133666557031772170240*x^114+3042874927424893493248*x^112-564624352\
44514741473280*x^110+869297753476838282649600*x^108-112700019869326603009556\
48*x^106+124573812826303021596688384*x^104-1186520627561951888779706368*x^10\
2+9826990034176454277988155392*x^100-71331794990105330216320892928*x^98+4569\
24466739076165220753211392*x^96-2598466667682380268556132024320*x^94+1318871\
2744949609986899956465664*x^92-60025370681582553534407660011520*x^90+2459911\
87732212957959825448239104*x^88-911091608497453610113590139813888*x^86+30598\
00071660200827573932354699264*x^84-9345205429343646279579274720575488*x^82+2\
6024852695969034762729461192327168*x^80-66237939900215564175876652345065472*\
x^78+154400389768217630646838157052477440*x^76-33022901194955990461932307036\
8186368*x^74+649106604363164363034078901658714112*x^72-117428311587264224283\
0425761628815360*x^70+1957611520131149046983964637838442496*x^68-30105197763\
63407053511496559233073152*x^66+4274734553917142318140479799847550976*x^64-5\
608551600734219217951427402630430720*x^62+6803292189693462431667214537839345\
664*x^60-7633086863391368804552445596295757824*x^58+792342854089788984202062\
2430803853312*x^56-7610446767118950347819990282030546944*x^54+67635602530884\
71560978007323431665664*x^52-5560616300715635871552142886798622720*x^50+4227\
602950179980042551556716393136128*x^48-2970666254905513621059310702246756352\
*x^46+1927902322561955651195786748646916096*x^44-115447041694154540906328034\
4406425600*x^42+637156947946686203245953344612597760*x^40-323645271172685622\
773598890399629312*x^38+151052040074267700459334946779037696*x^36-6464875891\
9606811163116543502450688*x^34+25313906448935893566260410828455936*x^32-9043\
484744281979355609892732796928*x^30+2938291174871284942258754100920320*x^28-\
864955734361952392266997422882816*x^26+229663518773739148416265821880320*x^2\
4-54711841844185546482131031556096*x^22+11619690323604345100036007264256*x^2\
0-2183116496838792314123817320448*x^18+359421206668639112896064782336*x^16-5\
1240244958896498016633487360*x^14+6229927306376344973057458176*x^12-63311018\
4539108447931596800*x^10+52308625124764950724608000*x^8-33747119244486833560\
61696*x^6+159453655773145364168704*x^4-4906833923606740729856*x^2+7378697629\
4838206464
Common denominator of the automorphisms:
36893488147419103232
Complex polynomial:
x^132-x^131+x^125-x^124+x^118-x^117+x^111-x^110+x^109-x^108+x^104-x^103+x^10\
2-x^101+x^97-x^96+x^95-x^94+x^90-x^89+x^88-x^87+x^86-x^85+x^83-x^82+x^81-x^8\
0+x^79-x^78+x^76-x^75+x^74-x^73+x^72-x^71+x^69-x^68+x^67-x^66+x^65-x^64+x^63\
-x^61+x^60-x^59+x^58-x^57+x^56-x^54+x^53-x^52+x^51-x^50+x^49-x^47+x^46-x^45+\
x^44-x^43+x^42-x^38+x^37-x^36+x^35-x^31+x^30-x^29+x^28-x^24+x^23-x^22+x^21-x\
^15+x^14-x^8+x^7-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
Copyleft © 2002-2008 the PARI group.