Group GAP4(128,188)

Name: C2 x (((C8 x C2) : C2) : C2)
Maximal quotients:GAP4(64,4) GAP4(64,87) GAP4(64,90) GAP4(64,92)
Real polynomial:
x^128-368*x^126+65376*x^124-7471008*x^122+617456720*x^120-39341168096*x^118+\
2011605683200*x^116-84846670658368*x^114+3011473874036448*x^112-913082946287\
94560*x^110+2392830684434828160*x^108-54705530083623997056*x^106+10993786337\
74993420480*x^104-19541343443178601276800*x^102+308809077308459910963200*x^1\
00-4357399969047590453695744*x^98+55099028793539300807444416*x^96-6262862289\
18063428389440256*x^94+6415682322889301402167549440*x^92-5936203610417885535\
1742816768*x^90+497022424099512131751063362816*x^88-377154599980347021199245\
0057728*x^86+25971622622289017008866991177728*x^84-1624697149941231590367029\
92221184*x^82+924068469347942960258077059281408*x^80-47816119050697226424700\
93735386112*x^78+22520842994131933779768336627554304*x^76-965747275968154994\
63528719213529088*x^74+377111509974456553888547910941576192*x^72-13408982677\
32067741745778054865483776*x^70+4340794700749841357070465996946079744*x^68-1\
2789516276392554068911894945842499584*x^66+342808296262169036247477712453825\
26464*x^64-83540699943752553852161942671726039040*x^62+184955354386701070300\
391292215707836416*x^60-371674988723569446057952317153620713472*x^58+6772099\
44245217501639565994785462972416*x^56-11174015713450372934354955730354152161\
28*x^54+1667266737417572605007887606483150176256*x^52-2246000464405038096275\
837685199479095296*x^50+2726653324437886675490909921326427938816*x^48-297693\
3417011864339722564584494037090304*x^46+291619323203071053813114484736945045\
5040*x^44-2556406762417223303840117829503307972608*x^42+19994882738275290420\
20639563369081225216*x^40-1390649099324741694753181838985226911744*x^38+8567\
52382200698382932023104510812487680*x^36-46549648813898382342935216577575695\
1552*x^34+221916122060411164279031801904681959424*x^32-922779215647804747315\
22552337814585344*x^30+33236697391475968653571772660931231744*x^28-102838671\
03986563526787293884657827840*x^26+2706428877267071926485894297650921472*x^2\
4-598525042679271875442670644047773696*x^22+10957761236065335148036185419205\
8368*x^20-16299516540418122687396265365078016*x^18+1923446187348691496463175\
830601728*x^16-174619934547894284357473750220800*x^14+1172201040805117012147\
4300706816*x^12-553570490603683740339433635840*x^10+173725023609596918192797\
12256*x^8-343186238061958157503561728*x^6+3976187883629051501346816*x^4-2356\
0905712951540842496*x^2+49458245013256339456
Common denominator of the automorphisms:
3459024652698911926192659825629927706486406421158307906332465560886083921687\
5763982963302598329931466689714973313882195949222703776363564248319459120404\
1236194988512474823148662236240276955874910721161036514886097871297449613343\
0058142509924553064106723176776768262570380355054704290207645894832987981726\
4806250938368
Complex polynomial:
x^128+1296*x^120-121712*x^112+2393873280*x^104+3281698156704*x^96-5746017531\
1104*x^88-1901555825523712*x^80-45410819506652160*x^72+2382298884547040000*x\
^64-181643278026608640*x^56-30424893208379392*x^48-3677451219910656*x^40+840\
114728116224*x^32+2451326238720*x^24-498532352*x^16+21233664*x^8+65536
Common denominator of the automorphisms:
1753161863394548759319447043570963220572200680522055575142400

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.