Group GAP4(96,70)

Name: ((C2 x C2 x C2 x C2) : C3) : C2
Maximal quotient:GAP4(24,13)
Real polynomial:
x^96-720*x^94+236880*x^92-47426880*x^90+6496704576*x^88-649308653568*x^86+49\
319427664896*x^84-2928593088923904*x^82+138788212974258816*x^80-533238047670\
2964736*x^78+168143860391344128000*x^76-4393833602589592233984*x^74+95890777\
378553298444288*x^72-1758664855476600074403840*x^70+272410726890002249439313\
92*x^68-357776579017956317610491904*x^66+3996451554008822344675676160*x^64-3\
8054635562258334295825121280*x^62+309394166137131588834849587200*x^60-214993\
4130604444091518207918080*x^58+12774465487660325254161003970560*x^56-6489899\
1144684443882242443313152*x^54+281756458958803161633090302902272*x^52-104426\
8088743729246236228590764032*x^50+3299253627612008536769306360807424*x^48-88\
68470630524927462030217412870144*x^46+20233370999883598152867624140144640*x^\
44-39067156341679082819152547491610624*x^42+63617654328895491057516227548151\
808*x^40-87015584878925409936328328931704832*x^38+99493907339891739213076302\
498103296*x^36-94568591840651540510569472678952960*x^34+74232735842884460053\
773714311872512*x^32-47750088396640892182209744164880384*x^30+24938990833341\
014910752970359439360*x^28-10459455050867759988563795635077120*x^26+34758192\
46805569355229952420610048*x^24-900393097884205205986532923539456*x^22+17819\
7564490082980710704341843968*x^20-26281650530138479977434085064704*x^18+2801\
035956941101192933866995712*x^16-207800286243175096636925804544*x^14+1026959\
1922648924113132847104*x^12-321643858270946619996241920*x^10+603606003712280\
9747472384*x^8-63029127122460285599744*x^6+328649417547269013504*x^4-6969424\
87696048128*x^2+450868486864896
Common denominator of the automorphisms:
3791119912691690643964174585671912046319467473535186550938487327298330695992\
6210144186766530800115634739288210050137080340904308068145998698813745737580\
2641324661204240052467582415230676806212133025476435676098528946434372296072\
1004748476261107823476769773126012931479804180468866055705725757801582703477\
2549527860250386908747644203034942772301009316947024903895120944604908374458\
368
Complex polynomial:
x^96+85*x^93+6838*x^90+104689*x^87+3413950*x^84+15115837*x^81+1398528609*x^7\
8-11181384318*x^75-36895025883*x^72-18608923925771*x^69+9744592688413*x^66+1\
997551799615098*x^63+89083084839558136*x^60-9571662296694896*x^57+2571902010\
090055585*x^54+9837785868779074887*x^51+55859734769104138932*x^48+1051151555\
92971492351*x^45+213166240318644832638*x^42+379439797421227387131*x^39+45086\
8021572160315341*x^36+448349445710656051392*x^33+1152423559432772352171*x^30\
+691993520227934999091*x^27+1070073030150601613892*x^24+16092010769949141063\
93*x^21+586648608512465464254*x^18+542372668200361848897*x^15+54433355073968\
0552517*x^12+102216970710023932098*x^9+12125546442450163557*x^6+181781280526\
3656021*x^3+150094635296999121
Common denominator of the automorphisms:
2132794700266743265804379905978725363970607427770278699810307800963256969254\
2180074975351446170843169915390030362428367706943356642069507540832392706868\
2681637139827557558015301674058256317787595541983835013145500466403208777425\
346420393176

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.