Group GAP4(70,3)

Name: D70
Maximal quotients:GAP4(10,1) GAP4(14,1)
Real polynomial:
x^70-932*x^68+401684*x^66-106635448*x^64+19589897516*x^62-2652062385528*x^60\
+275064470630168*x^58-22430536913739608*x^56+1464348809823933926*x^54-775256\
09236531380000*x^52+3359343810633772522608*x^50-119924902357045390881672*x^4\
8+3542681492632735787398300*x^46-86836429619029688027006984*x^44+17683565871\
95804709701722248*x^42-29918019965199954577867044232*x^40+420028251539719577\
511228884705*x^38-4882065348106024567886250867708*x^36+468175605179166108267\
02995767836*x^34-368695665698038433079828970769632*x^32+23701159363979999365\
90616894955504*x^30-12343083365305864171975149482813888*x^28+515856691660139\
50968299127717089856*x^26-170996153938431563201327745436390400*x^24+44303254\
0864836551594190325297844224*x^22-880810235872729986891733961629384704*x^20+\
1312661545578363475118582778897727488*x^18-142269254085776295615982828733202\
4320*x^16+1078082077235622916824124638294441984*x^14-54323940183573967818784\
5047386374144*x^12+172084949113685870147172768201834496*x^10-329277917693069\
32879802257983406080*x^8+3637964673814520687105936080240640*x^6-213476277956\
812168345099448614912*x^4+5620395095137008405857714569216*x^2-50922381926496\
263959119659008
Common denominator of the automorphisms:
1102902459354696472970764574724263044280623577450226620866219564325673656204\
1989850342541674679946064720690749104688993013369807566171475548125567263283\
6343026083706783384775891249384030626200091655769734290868229877004285344513\
2701005517511080151822035590473377897880783616538614246009807143617740829199\
99187989095928103602598250886495664883951910543110963200000
Complex polynomial:
x^70-56*x^68+1064*x^66-8113*x^64+58618*x^62-1255772*x^60+12880924*x^58-19304\
978*x^56+195094235*x^54-6253530430*x^52+13558301176*x^50+208460475874*x^48+1\
174481196490*x^46-1588337295797*x^44-7851290700001*x^42-13252143021355*x^40-\
8236837344092*x^38+240226435074997*x^36-11355458542904*x^34-489364756397258*\
x^32+246806225227121*x^30-3833322840302725*x^28+9168339516652204*x^26-283400\
7080717435*x^24-4744446014528570*x^22-272148148536026*x^20+1734758421680333*\
x^18+995775782163764*x^16+261549276464245*x^14+31031429707621*x^12+163762816\
3276*x^10+63166185082*x^8+4686968090*x^6+282239951*x^4+4000066*x^2+16807
Common denominator of the automorphisms:
1001138631254947272882120745132960566211549241881178624547579958143892759249\
307186519813554922723586106288130538100732709255403458446387388922281250

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.