Group GAP4(104,5)

Name: C4 x D26
Maximal quotients:GAP4(8,2) GAP4(52,4)
Real polynomial:
x^104-1208*x^102+642860*x^100-201667216*x^98+42015879068*x^96-6205767516032*\
x^94+677394520702592*x^92-56272510473166720*x^90+3637637013132369776*x^88-18\
6238265581578278272*x^86+7660587318676974676800*x^84-25615333363657996857779\
2*x^82+7030478102109081404536256*x^80-159655046758145716738643968*x^78+30196\
40409924116848153441280*x^76-47826708382161324580146149376*x^74+637228776310\
622262916100442624*x^72-7169249837036126002469564055552*x^70+683266479486649\
23762597550792704*x^68-553121832071508746507535234940928*x^66+38121694479463\
60424693816393410560*x^64-22413436929071723511224469035827200*x^62+112608032\
930763959061110416793190400*x^60-484150417017856534648375945773547520*x^58+1\
783429470946962882025711702437883904*x^56-5633772770477866534779802037124694\
016*x^54+15272066337989951456693966539796987904*x^52-35539934518824670412110\
286529283817472*x^50+71005361640965929485883416042137305088*x^48-12176369688\
9933059325782308223002869760*x^46+179120022838188022648032849470993989632*x^\
44-225817232734459036796164280686950744064*x^42+2436519346158471202740435154\
96760279040*x^40-224598004218261468553942596119476830208*x^38+17647331088153\
6925157020132068154933248*x^36-117860593606616836834074438064382410752*x^34+\
66678720678293447857959480705444741120*x^32-31822824843775796765596033547499\
470848*x^30+12748603311991501315502249014538010624*x^28-42614821530809394528\
02273222074564608*x^26+1180044021058067245703725040581738496*x^24-2683302192\
40515503525534373045600256*x^22+49569101912877492785476183108091904*x^20-734\
0600111641859756869648126050304*x^18+856858313391330395243376661233664*x^16-\
77134663669961738637339562868736*x^14+5199900116075049622469328502784*x^12-2\
51810599704035277147184562176*x^10+8217629465499465441517502464*x^8-16160461\
0303930988289327104*x^6+1489396646730768884695040*x^4-1755467105952000376832\
*x^2+288230376151711744
Common denominator of the automorphisms:
3818670519424099910600587334128126226946205741548411936522392445051694617948\
0370486399545220289397110427560533135131886626835832093016012073769864020297\
6739920466747262653935423698789731010296329537834861705309592992056947318427\
8818917770494684768385147746397532947690694580534634774268460925140350303177\
8531144905784429812634342709282497172030314396388712607426973668583500412066\
6975545508197930809932827456568721455392816623864791744670571811237064813367\
86503189564860832177621470557133160350482432
Complex polynomial:
x^104+47638*x^96+1593288879*x^88+18305574537796*x^80+71238863066367439*x^72-\
148109810400433992330*x^64+173114734704852234169761*x^56+1444327088839219350\
49200720*x^48+34528289304689027902364871168*x^40+748602772216010817800073845\
55520*x^32-8257395787476471352136870592512*x^24+3807501512714106541803086807\
04*x^16-1282092552343372944474374144*x^8+2283749599146799148302336
Common denominator of the automorphisms:
1270547689532671700010891332015673320902332650654541065479342739170678170369\
400724763543486758768828831133435789853556980119077872039159136256

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.