Group GAP4(80,38)

Name: (C20 x C2) : C2
Maximal quotients:GAP4(16,13) GAP4(40,13)
Real polynomial:
x^80-980*x^78+419450*x^76-105277000*x^74+17516927800*x^72-2067900366000*x^70\
+180820975923000*x^68-12063937478520000*x^66+627493058631120000*x^64-2586291\
9655477200000*x^62+855427271397884100000*x^60-22933406286039912000000*x^58+5\
02357879962174618000000*x^56-9049414178657331360000000*x^54+1347555039440832\
72060000000*x^52-1665674576233119781800000000*x^50+1714575977640363024330000\
0000*x^48-147334563895497104130000000000*x^46+105871682950116229550700000000\
0*x^44-6368563264345893340620000000000*x^42+32083438736649470465850000000000\
*x^40-135342564845878660908000000000000*x^38+4777384194478240740648000000000\
00*x^36-1409254055795963583840000000000000*x^34+3467525923246428016944000000\
000000*x^32-7099081142585984503680000000000000*x^30+120549712258091352537600\
00000000000*x^28-16912753007038871731200000000000000*x^26+195105668091826169\
08800000000000000*x^24-18399387495698217984000000000000000*x^22+140840429768\
92394496000000000000000*x^20-8674527247500656640000000000000000*x^18+4252402\
689188413440000000000000000*x^16-1636489838012006400000000000000000*x^14+485\
677280673792000000000000000000*x^12-108555893145600000000000000000000*x^10+1\
7687190962176000000000000000000*x^8-2003802521600000000000000000000*x^6+1466\
43353600000000000000000000*x^4-6081740800000000000000000000*x^2+104857600000\
000000000000000
Common denominator of the automorphisms:
9652661625096845679315755399393826074516343248265654110599336488434227685116\
5706953274712664514402074898424555513959377761131502408564736000000000000000\
0000
Complex polynomial:
x^80-50*x^72+5875*x^64-246400*x^56+9827325*x^48-168517450*x^40+1574198125*x^\
32+3018060000*x^24+2729471875*x^16+136648750*x^8+625
Common denominator of the automorphisms:
8689117719595291849473391360000

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.