Group GAP4(74,2)

Name: C74
Maximal quotients:GAP4(2,1) GAP4(37,1)
Real polynomial:
x^74+x^73-73*x^72-72*x^71+2556*x^70+2485*x^69-57155*x^68-54740*x^67+916895*x\
^66+864501*x^65-11238513*x^64-10424128*x^63+109453344*x^62+99795696*x^61-869\
648208*x^60-778789440*x^59+5743572120*x^58+5047381560*x^57-31966749880*x^56-\
27540584512*x^55+151473214816*x^54+127805525001*x^53-615790256823*x^52-50827\
1323092*x^51+2160153123141*x^50+1742058970275*x^49-6566222272575*x^48-516686\
3427600*x^47+17345898649800*x^46+13298522298180*x^45-39895566894540*x^44-297\
52626158640*x^43+79960182801345*x^42+57902201338905*x^41-139646485582065*x^4\
0-97997533741800*x^39+212327989773900*x^38+144079707346575*x^37-280576272201\
225*x^36-183649923622620*x^35+321387366339585*x^34+202355008436035*x^33-3179\
86441828055*x^32-191991813933920*x^31+270533919634160*x^30+156077261327400*x\
^29-196793068630200*x^28-108043253365600*x^27+121548660036300*x^26+632053032\
18876*x^25-63205303218876*x^24-30957699535776*x^23+27385657281648*x^22+12551\
759587422*x^21-9762479679106*x^20-4154246671960*x^19+2818953098830*x^18+1103\
068603890*x^17-646626422970*x^16-229911617056*x^15+114955808528*x^14+3657684\
8168*x^13-15338678264*x^12-4280561376*x^11+1471442973*x^10+350343565*x^9-955\
48245*x^8-18643560*x^7+3838380*x^6+575757*x^5-82251*x^4-8436*x^3+703*x^2+37*\
x-1
Common denominator of the automorphisms:
1
Complex polynomial:
x^74+145*x^72+9874*x^70+420147*x^68+12539524*x^66+279345564*x^64+4826499903*\
x^62+66350018352*x^60+738761692650*x^58+6747820480813*x^56+51030222712761*x^\
54+321645586951541*x^52+1697565137226131*x^50+7524681401089173*x^48+28060298\
416985942*x^46+88076518535665686*x^44+232569709727668467*x^42+51582375444724\
0484*x^40+958550407811813951*x^38+1487242494158953529*x^36+19180099288741648\
64*x^34+2044570407662471662*x^32+1789367886065199032*x^30+127533525871561634\
3*x^28+733122253994225358*x^26+335996498801643358*x^24+121075106006921076*x^\
22+33727348882597989*x^20+7113136497183949*x^18+1106702433506263*x^16+122980\
986798231*x^14+9376436563618*x^12+466671481748*x^10+14196784354*x^8+23886402\
1*x^6+1803544*x^4+2824*x^2+1
Common denominator of the automorphisms:
7996006313657166033911950882594293192138376062117682379023555698793718248883\
9921511163422527207169202619116646113983802539055738986949979372588677013924\
5154037433387912075404393890296531816422326534688227

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.