Group GAP4(92,3)

Name: D92
Maximal quotients:GAP4(4,2) GAP4(46,1)
Real polynomial:
x^92-920*x^90+399418*x^88-109035180*x^86+21039287145*x^84-3058354959940*x^82\
+348553362497444*x^80-32002053768958720*x^78+2413800890589403712*x^76-151766\
748155053778688*x^74+8043749982795309529344*x^72-362521128493066167058432*x^\
70+13988944248786290048413184*x^68-464702707237450366534096896*x^66+13346531\
634131641257365960704*x^64-332521685404777645868339134464*x^62+7205103907723\
573508431159377920*x^60-136032082862189548505425590026240*x^58+2240636882169\
349694529189149605888*x^56-32221102517898031202346796693323776*x^54+40461150\
9843626234287524280605409280*x^52-4435570321921712386643580571992981504*x^50\
+42419275535694008989986314914923544576*x^48-3534931073981186615115212092267\
44561664*x^46+2562841000654223825638539961611841437696*x^44-1613339911018019\
5989945604833562427654144*x^42+87974646192793770236513961182406958383104*x^4\
0-414385141146153517926566727019487968624640*x^38+16806403354717701517255741\
81110274011955200*x^36-5847823552374996536163384740105358304870400*x^34+1738\
5750204213397646291075850841072653565952*x^32-439635487755598232883218018402\
80984111546368*x^30+94075639415529859474588870784688373077377024*x^28-169378\
814521503646371566172569851870572445696*x^26+2549315328264151604063112823775\
70128607838208*x^24-318381898087766434982567079932105024753106944*x^22+32710\
3887997623585854894826018373378160721920*x^20-273643416617215791643056702488\
898602509795328*x^18+184086961525801034972476043502131629866876928*x^16-9803\
5446198013506162652128072958599197884416*x^14+404927305788146559039882958625\
40753946279936*x^12-12615257923672411022679232955632441794494464*x^10+284785\
8995871301689622323787721363326763008*x^8-4378020426957733403750106845794769\
09588480*x^6+41177888673769407715132009951571438731264*x^4-18964953326035759\
31359160677834151690240*x^2+20640150624783009411907128802655862784
Common denominator of the automorphisms:
2553991303981553108817385355649483249600918144472369707182983342384076896445\
8980363608875313383742645623364850705380205019588636372332310765501555282875\
9672479100914604019668698648893264017362721828028577856193932713597992514378\
8808384801634533445519473350994401618107469442188468223768920575743982338192\
5737649705005793809112125901573980891325064242748908776714928716757201230531\
147309120487424
Complex polynomial:
x^92-46*x^90+1021*x^88-14552*x^86+147774*x^84-1112348*x^82+6266210*x^80-2631\
9612*x^78+86703539*x^76-332625014*x^74+2309532747*x^72-17179855863*x^70+9794\
9996626*x^68-418575784096*x^66+1379981370398*x^64-3610503916256*x^62+7669740\
329423*x^60-13458453849767*x^58+19688053004905*x^56-23967272944988*x^54+2404\
4536716368*x^52-19813784972060*x^50+14254063343938*x^48-11701017136071*x^46+\
14254063343938*x^44-19813784972060*x^42+24044536716368*x^40-23967272944988*x\
^38+19688053004905*x^36-13458453849767*x^34+7669740329423*x^32-3610503916256\
*x^30+1379981370398*x^28-418575784096*x^26+97949996626*x^24-17179855863*x^22\
+2309532747*x^20-332625014*x^18+86703539*x^16-26319612*x^14+6266210*x^12-111\
2348*x^10+147774*x^8-14552*x^6+1021*x^4-46*x^2+1
Common denominator of the automorphisms:
135141007375979326906471423112813773038817284453125

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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