Group GAP4(126,10)

Name: C6 x (C7 : C3)
Maximal quotients:GAP4(18,5) GAP4(42,2) GAP4(63,3)
Real polynomial:
x^126-588*x^124+156996*x^122-25404344*x^120+2806141800*x^118-226023272748*x^\
116+13851692274560*x^114-665603407395234*x^112+25652616776618832*x^110-80725\
8616360647976*x^108+21046749388682069892*x^106-460181174351449157712*x^104+8\
525607250237266985600*x^102-135027348580325964428400*x^100+18422428592094060\
20170608*x^98-21796926416553024341637088*x^96+224952619068015546408817200*x^\
94-2035346121479790735494954040*x^92+16216647143309410912842255584*x^90-1142\
18579624148896173940620608*x^88+713548059559365221004055650912*x^86-39653530\
44364028155623966028960*x^84+19651546853245032290310037301184*x^82-870343917\
59390829124312752908832*x^80+345095997624555392762269730103376*x^78-12268272\
65458859958585377714452032*x^76+3915025381047463166497674940618752*x^74-1122\
5045972994623134515800373866688*x^72+28935221940272466682507938261102240*x^7\
0-67085199008829144599046781646405376*x^68+139914049399848257861652858611830\
080*x^66-262485174084335358150904317383791200*x^64+4428269538631658725103618\
22420831360*x^62-671475864834626205149730501979128192*x^60+91449241232366777\
2671131727528743040*x^58-1117569013105187062905101769044031552*x^56+12240767\
02584868879888080552200378112*x^54-1200000494910409636813061732508604800*x^5\
2+1051216821768921831688021331153457600*x^50-8213711693318474032564134500118\
87872*x^48+571237406803595420574867044012986368*x^46-35278450916789642498691\
4996042680576*x^44+192970654145238212266027594920327424*x^42-932218146588321\
08568601630397274624*x^40+39647903593321784053316978758814976*x^38-147944838\
51104037733872421973663872*x^36+4825205984080788628232764994950656*x^34-1369\
853954643859598417442956172288*x^32+336984789595882642508768659587584*x^30-7\
1476783029432291148891578028032*x^28+13000267534282746808538289171456*x^26-2\
015174245283675807948276979200*x^24+264391427550723671086538920704*x^22-2912\
9046317002246368678220800*x^20+2670270223933636951164532736*x^18-20145882878\
0565956232901632*x^16+12343500301466263363902720*x^14-6040484592300995252684\
80*x^12+23105203531101821896704*x^10-670926849795861281280*x^8+1418390977370\
1054464*x^6-204480768459598848*x^4+1785858239821824*x^2-7086739046912
Common denominator of the automorphisms:
1394234280034745469198589644890129923668191866375286603658990146939633428697\
1803126537780892442471532355487352739363410730399425993114279278855757802126\
2599184801760968242866455966066011859275857355177283544666496284306988992680\
9993708282156831877771994931256625279068710506220835951907474328176273837112\
627286113240064000000
Complex polynomial:
x^126+172872*x^119+6585731712*x^112-269330757756928*x^105-479694142622099865\
6*x^98+139289729144780449579008*x^91+1697602751168228323047243776*x^84-24473\
828423947788740933871206400*x^77+81785739523810635472210806335078400*x^70-35\
340197488060814127073171809765425152*x^63+1579640621309663038225134009083158\
855680*x^56+975667154984534272132705164853593275105280*x^49+5660587716214739\
1844754245815820770969911296*x^42-964399826813548894754460204543208639608913\
92*x^35+56313420508818808764432420404539844852711424*x^28-110865574309112015\
62510225743703295664324608*x^21+735474623082190562852366706720168122253312*x\
^14+3698581606565209268211840104974717550592*x^7+515167630408664997748667551\
8376902656
Common denominator of the automorphisms:
2271560935744393691382382467835451774137630902040064610980129922699431471156\
9065687931823500293757290482883769818384073320606486559950117048823289217024\
00

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.