Group GAP4(73,1)

Name: C73
Maximal quotient:GAP4(1,1)
Real polynomial:
x^73+x^72-144*x^71-139*x^70+9730*x^69+9056*x^68-410441*x^67-367906*x^66+1213\
2108*x^65+10460357*x^64-267391523*x^63-221468185*x^62+4565619563*x^61+362753\
2367*x^60-61950350404*x^59-47147580804*x^58+679947392088*x^57+494890787591*x\
^56-6113510799041*x^55-4248263015489*x^54+45441140233604*x^53+30093580771161\
*x^52-281045946680083*x^51-177038034694018*x^50+1452868601357593*x^49+868715\
820105921*x^48-6295670418447183*x^47-3565186787476080*x^46+22902199637195106\
*x^45+12253312487223193*x^44-69962703250113206*x^43-35272462117714863*x^42+1\
79338461559168548*x^41+84955105196536588*x^40-385048845118205565*x^39-170849\
729564878739*x^38+690518720387088459*x^37+285992431892776900*x^36-1030365887\
765938986*x^35-396815828472409411*x^34+1273033339340609215*x^33+453948542708\
929508*x^32-1294487651212092317*x^31-425372577783968644*x^30+107546099836355\
8124*x^29+323938213588417248*x^28-723673836702904009*x^27-198620283444369134\
*x^26+390347789427434985*x^25+96972004303780760*x^24-166728320860948405*x^23\
-37205870049815405*x^22+55579282507755157*x^21+11040773363511690*x^20-142100\
01829233769*x^19-2484259728799330*x^18+2727333323515561*x^17+413148457058309\
*x^16-382313978331429*x^15-49086744961361*x^14+37718946870926*x^13+397875851\
8003*x^12-2483523023306*x^11-206824721197*x^10+100506678700*x^9+6386688064*x\
^8-2177670239*x^7-106831868*x^6+20248339*x^5+685305*x^4-67318*x^3-1667*x^2+5\
5*x+1
Common denominator of the automorphisms:
5181852980300170719069001414132208657160564179225924570159013062638992946732\
2689253762584223383861333248182894282591317083518793805317163146095821852342\
3290460272511071819879545193602048256088907533499486436702732315490218105600\
0314873929000199397877210683817990779657756851421365116508572719692314552178\
99892133112446766475860759202281118224782566248673571520467759833991

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.