Group GAP4(128,1756)

Name: C2 x ((((C4 x C2) : C2) : C2) : C2)
Maximal quotients:GAP4(64,139) GAP4(64,202)
Real polynomial:
x^128-480*x^126+110576*x^124-16297504*x^122+1728528400*x^120-140682052448*x^\
118+9149587088016*x^116-488931353188192*x^114+21906119088552168*x^112-835624\
316558204576*x^110+27465172952494890192*x^108-785293104034017349984*x^106+19\
685044355437641431792*x^104-435392005282887682689440*x^102+85424767387334058\
37268272*x^100-149346326187575624550479264*x^98+2335379228980502354461675964\
*x^96-32769167249422226953602052960*x^94+413713097220001677100638126000*x^92\
-4710404504937964793684297150624*x^90+48460058984822398125977929973712*x^88-\
451211144082856087059860098233312*x^86+3807377879858227225858141756018128*x^\
84-29146841277955398395055532585478112*x^82+20260212754580638613871351242251\
2536*x^80-1279550318948129219469756004604235552*x^78+73454373235386193796141\
91044013278224*x^76-38337839305821118585699963589448105184*x^74+181932391695\
691953534835539163670278448*x^72-784891565421595692079642852988691313952*x^7\
0+3077474670155462338657006012353159737584*x^68-1096113767225489624763038689\
4326324480288*x^66+35441037573858140043353780120268718289894*x^64-1039394456\
60215720199905668696762477942176*x^62+27620285462701826104062180778285629248\
3536*x^60-664221897961751666847536668318381309878880*x^58+144346485540817060\
4532517101933637127516976*x^56-2829946559449444468858867693643980816035872*x\
^54+4995647746599074088025370919106979872197552*x^52-79230137236878107176405\
56654089852411751456*x^50+11261220687406035893936875228572075691488984*x^48-\
14303445625785219447294257940193005043278816*x^46+16182770333734310968208641\
886100145525717104*x^44-16249087459515784099756838726542784128549920*x^42+14\
419750388908240806306205033948639921626576*x^40-1125577303849745825577161685\
1922947501706976*x^38+7686400388612829750323818138780713746329488*x^36-45634\
68485284383871358741280456579882525408*x^34+23386993735051578101103108742825\
87716475388*x^32-1026013302991509705647007636664104026484000*x^30+3816224252\
43224412082579614789475440048784*x^28-11899050911097119965402313345815581268\
5536*x^26+30692750467671521661448694219024083085552*x^24-6448378146803014928\
370329525430401826976*x^22+1083572959125975422681531537724467652592*x^20-142\
607164284065191394513644489338256544*x^18+1435684178701868808625310645160176\
9768*x^16-1077946723290131090392581087832139360*x^14+58793084953553172692233\
327654884016*x^12-2262936154035358613845876643296672*x^10+592342539735277224\
22532497150480*x^8-998012724953190059266654919264*x^6+9877426411985587082227\
871312*x^4-48679203428155417470568032*x^2+88231220373698971073761
Common denominator of the automorphisms:
5641212036545737942801857935273600347709722418174067550609950149213511391054\
0249584823782864014095227455955521714470252720785027987174730541538629528034\
6090243765256248114354626678548917505774559319458797696414639830986936735999\
8284481601060158836583800982288787298413421836283819065424432622317668412862\
3440736418886932720166378287136884767896457146891051916571944707543097873878\
5450980143461341647762567300371720336389559358912801189473625304059667811580\
32002989056390299102622140229222400
Complex polynomial:
x^128+8*x^126+32*x^124+96*x^122+144*x^120+208*x^118+1664*x^116+5440*x^114+17\
928*x^112+88640*x^110+439680*x^108+2343936*x^106+11231104*x^104+44452672*x^1\
02+161331712*x^100+595634432*x^98+2089991952*x^96+6961114624*x^94+2211286579\
2*x^92+63537433856*x^90+178375193088*x^88+499035471616*x^86+1266891206656*x^\
84+2983051268608*x^82+6471295408256*x^80+11338755933696*x^78+14077736308736*\
x^76+7428900528128*x^74-18315242439680*x^72-62897420382208*x^70-952759930880\
00*x^68-36403851661312*x^66+195296245097472*x^64+512086498060288*x^62+571214\
001528832*x^60+26806564384768*x^58-833668695461888*x^56-989679107354624*x^54\
+273800854175744*x^52+1986124824354816*x^50+2046124624873472*x^48-2159325171\
22048*x^46-2416206434828288*x^44-1582137312133120*x^42+2066563525017600*x^40\
+4900481973403648*x^38+4303012327587840*x^36+1668835753754624*x^34+384384657\
199104*x^32+1679162608648192*x^30+3965296204447744*x^28+5211962786054144*x^2\
6+4912127963693056*x^24+3599990633988096*x^22+2045585835687936*x^20+81943517\
2003840*x^18+181792238764032*x^16+10921009086464*x^14+742872055808*x^12+8823\
4262528*x^10-2275147776*x^8-424673280*x^6+2097152*x^4-524288*x^2+65536
Common denominator of the automorphisms:
1017995877942292316731772447246250384965153057744745735836620684345517348941\
4262411108494211176077644642248920579122539600982243722022718488599813633766\
11949281280

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.