Group GAP4(71,1)

Name: C71
Maximal quotient:GAP4(1,1)
Real polynomial:
x^71-x^70-280*x^69+259*x^68+36362*x^67-31280*x^66-2918219*x^65+2341868*x^64+\
162684328*x^63-121979735*x^62-6712586533*x^61+4705153431*x^60+213256136347*x\
^59-139745967919*x^58-5356937166534*x^57+3281290140692*x^56+108406810097566*\
x^55-62068478295763*x^54-1791341741101037*x^53+959090929705315*x^52+24407831\
840018355*x^51-12233821563475166*x^50-276147939713855185*x^49+12984691290459\
8319*x^48+2606654089690226864*x^47-1153616129990347133*x^46-2058795014700242\
0775*x^45+8616230414933743750*x^44+136232462096831704169*x^43-54248999168315\
159885*x^42-755063095484716789902*x^41+288262405489471572571*x^40+3499387584\
477151458386*x^39-1291958342775348433577*x^38-13519262273839572481554*x^37+4\
871234681829364379700*x^36+43337921624309469265596*x^35-15374832177489501594\
732*x^34-114567325220911193557287*x^33+40314399744765933113910*x^32+24781822\
0129501437242268*x^31-86899209178511442518309*x^30-434439541957702412239695*\
x^29+151897369076330346742308*x^28+610281064922154821463606*x^27-21171016077\
9065690463801*x^26-678145211065889672618486*x^25+230622710469268836012684*x^\
24+587757024818899676328202*x^23-191925680146871604212259*x^22-3916246303100\
01080455266*x^21+119033636843278373618351*x^20+197766785967009160429807*x^19\
-53612258357612675910550*x^18-74608688043563231273323*x^17+17058617253176590\
894829*x^16+20687510333056339496646*x^15-3713992963764087642011*x^14-4130593\
027985267121540*x^13+531046062111838509185*x^12+578162928492769417198*x^11-4\
6961262145834098724*x^10-54781357679840005659*x^9+2287539667564813302*x^8+33\
52222063105017682*x^7-40620243008078108*x^6-123514842854460529*x^5-101065225\
8526922*x^4+2420447510811051*x^3+55851319642213*x^2-18452351744696*x-7865568\
82087
Common denominator of the automorphisms:
7285685634298829383198188198162764287010320923686120866460779376299508823132\
1607586123132067374799563854922366042180130848548375918749729212031800113416\
6648822593510292518748817394548034757321668284067637840264107790226701920504\
1242069628686344145252509728927583441868235045370306950291277596187097474014\
8199901332797356439163128382454083952425953937278571785340849967711001191908\
2196054548383604206429351853213376025259394067934866341502334769971301156482\
3992916935870718110595147694629633707071412205818142311355690370820723480117\
5899096116224113315479145004683785113943622504085246084185610860014010664502\
3644391652214117818745458431428672588034894081960273446019130933701362022503\
4150328727845702305552911677203431830447

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.