Group GAP4(72,7)

Name: C2 x (C9 : C4)
Maximal quotients:GAP4(24,7) GAP4(36,1) GAP4(36,4)
Real polynomial:
x^72-1044*x^70+508950*x^68-154266312*x^66+32663815137*x^64-5146682969196*x^6\
2+627795656495856*x^60-60897637322191296*x^58+4788855862221211488*x^56-30968\
3182269747740488*x^54+16648201488761359609572*x^52-750228510242064299065272*\
x^50+28521152281346936411541822*x^48-919146052487521665509091480*x^46+251989\
11022891854978421846524*x^44-589129318601104459758275464776*x^42+11762253408\
543224681731918506966*x^40-200651092270376063874894813657888*x^38+2923499407\
178285083445937229691444*x^36-36336268835877379558055308278501168*x^34+38445\
0659397268666379826729152380272*x^32-3452214636788472278032831974341169432*x\
^30+26205104788267697395824474365796032580*x^28-1673085349728541660008864961\
77791625288*x^26+892866965159792224805664775488119157609*x^24-39525415870486\
47909804155674485143866548*x^22+14379231713742306906162377277366430110846*x^\
20-42499462960331246428443549848591285861264*x^18+10060266829101450568489772\
2538787121667505*x^16-187282122038181304531248415107432501773172*x^14+267687\
629496138439360203332872006094334084*x^12-2842598046113743839614420682802826\
75929200*x^10+213800406998127257957518339726929534240192*x^8-105645081532974\
063670267372165457323722816*x^6+29982278238753370017205255386258309400128*x^\
4-3597194660487430360107623887912115199744*x^2+31346896129800307576357872923\
891251456
Common denominator of the automorphisms:
5764711804216421136171428593352721877436396857611290510168385236394962034905\
2002573112422828099043613238727945471670987804454134295732170201208830463631\
9842738696214112263341874066759551352062141410678063335830665523737967201107\
968
Complex polynomial:
x^72-75690*x^66+2229471657*x^60-36061389458264*x^54+392606586400579074*x^48+\
539504008591676523876*x^42-426714543074858418197350*x^36-4006505099335846269\
55407768*x^30+394042536990878794791484268061*x^24-91837221214280331370349672\
199754*x^18+6951526052977952270050730689115037*x^12+785336155384304506977629\
4861433728*x^6+4160868820129268027225702088135675904
Common denominator of the automorphisms:
2505988297452439398611184871241665816190117677806691372196820782726259052380\
16

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.