Group GAP4(70,2)

Name: C5 x D14
Maximal quotients:GAP4(10,2) GAP4(14,1)
Real polynomial:
x^70-423*x^68-304*x^67+69702*x^66+78864*x^65-6041723*x^64-8026272*x^63+31449\
7117*x^62+427449936*x^61-10676952859*x^60-13732466635*x^59+249708262864*x^58\
+289579007800*x^57-4177767101248*x^56-4237354713456*x^55+51372007135331*x^54\
+44789220093770*x^53-473792548701304*x^52-352827357199086*x^51+3329558275301\
095*x^50+2124340470831094*x^49-18053703567663918*x^48-9976803661037018*x^47+\
76285141945058833*x^46+37121429967087230*x^45-253132334827566760*x^44-110596\
141758820578*x^43+663394790980397711*x^42+265353849043618354*x^41-1378620397\
753939943*x^40-513430586788329379*x^39+2277462527370986914*x^38+799610807972\
148107*x^37-2994544445502196641*x^36-998380594366579276*x^35+313440061323174\
7218*x^34+994477220105468907*x^33-2609569986302265488*x^32-78617501504298735\
1*x^31+1725023227472023213*x^30+490707875904719186*x^29-902788501940991928*x\
^28-240584251894298878*x^27+372526861148796754*x^26+92162257861373574*x^25-1\
20531991339182018*x^24-27430165326264089*x^23+30360262801927234*x^22+6303180\
264381074*x^21-5900189661177121*x^20-1109967672174988*x^19+874998511698076*x\
^18+148359317565628*x^17-97708149574660*x^16-14850872742427*x^15+80821757145\
63*x^14+1091673252255*x^13-485160957744*x^12-57230435517*x^11+20583036673*x^\
10+2046829591*x^9-595798489*x^8-46538688*x^7+11197490*x^6+593796*x^5-125985*\
x^4-3192*x^3+705*x^2-1
Common denominator of the automorphisms:
1788083486649454525290089447623902769609720104238355797874706516974980719806\
0685326783600004327218959229933761555403143460690175263777255655535950735362\
4991988740432625604148501328746115851021690774928346443118949009145159894900\
9679500653339203427953191663399419967787
Complex polynomial:
x^70+63*x^68+1722*x^66+27503*x^64+299614*x^62+2597000*x^60+20781390*x^58+156\
994299*x^56+1031446864*x^54+5750000746*x^52+29152049269*x^50+141218444626*x^\
48+615641776855*x^46+2260339241132*x^44+7158927680296*x^42+21106820434462*x^\
40+57844039492708*x^38+134756610846809*x^36+250870949019390*x^34+37795124674\
3336*x^32+494643133743549*x^30+597680778163161*x^28+648120454024729*x^26+578\
051681193567*x^24+394748416828444*x^22+198341522938874*x^20+71791629029729*x\
^18+18550981817242*x^16+3477389075853*x^14+515737921300*x^12+72071054699*x^1\
0+9863927458*x^8+1046101294*x^6+65295195*x^4+1764735*x^2+16807
Common denominator of the automorphisms:
1330405083435117306659299682489412906020935362475235860416512263282386932145\
0076060484623155637543198161130466457469405065954135070582490668777741414372\
5625814888621647441659650310416298679039131605010

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.