Group GAP4(72,31)

Name: (C3 x C3) : Q8
Maximal quotients:GAP4(24,4) GAP4(36,13)
Real polynomial:
x^72-4752*x^70+9879408*x^68-12064638960*x^66+9789961133700*x^64-565395899115\
3264*x^62+2427897711506672592*x^60-798909396265718475408*x^58+20588153796203\
7569623398*x^56-42233959044876604154689584*x^54+6982799823297378407586845520\
*x^52-939495667714011300777310190160*x^50+103633137081512643563628662131524*\
x^48-9426411301360052700310976918967888*x^46+7101367210468865716516796450835\
42000*x^44-44450968170274229635043085275747360688*x^42+231694399796921074235\
8859241458707302753*x^40-100691773445369854471580919743706842370048*x^38+364\
9966229020367420049448689842815568941824*x^36-110308103122668144317883861223\
253941428691968*x^34+2775824542605449957947580697321043648711738368*x^32-580\
37489894400798137682734195301200648676261888*x^30+10051340411193490883164174\
96662156525000828715008*x^28-14360497963542097753357774456164841104274968281\
088*x^26+168379378951432356107063659155650151126255865823232*x^24-1609771256\
180941240596543412799808224977498486603776*x^22+1244832436321807250274134555\
9035888714031737822248960*x^20-770955404969593705110848216006552499958745962\
84268544*x^18+377736201347546964141369472848557380570948599218700288*x^16-14\
41815742904650045952190519708482406459550488412028928*x^14+42041763570770559\
50515849406578778746527597085241376768*x^12-91281421351470128411388633296174\
82550623108066843820032*x^10+14254484954564887348324309406117505515212600371\
446808576*x^8-15235074169571578468551145054207723670630119985463164928*x^6+1\
0316176058161340044006133277474622957753301881583566848*x^4-3853058919152926\
816719102832237633285800808814059978752*x^2+57082354357821138025468190107224\
1968266786490971848704
Common denominator of the automorphisms:
1099916555465518297955010902656224684819118988072615499865025231231486439240\
0972034535040031074727052086835145542100382560858385467836257064781531903050\
7503616
Complex polynomial:
x^72+4752*x^70+9879408*x^68+12064638960*x^66+9789961133700*x^64+565395899115\
3264*x^62+2427897711506672592*x^60+798909396265718475408*x^58+20588153796203\
7569623398*x^56+42233959044876604154689584*x^54+6982799823297378407586845520\
*x^52+939495667714011300777310190160*x^50+103633137081512643563628662131524*\
x^48+9426411301360052700310976918967888*x^46+7101367210468865716516796450835\
42000*x^44+44450968170274229635043085275747360688*x^42+231694399796921074235\
8859241458707302753*x^40+100691773445369854471580919743706842370048*x^38+364\
9966229020367420049448689842815568941824*x^36+110308103122668144317883861223\
253941428691968*x^34+2775824542605449957947580697321043648711738368*x^32+580\
37489894400798137682734195301200648676261888*x^30+10051340411193490883164174\
96662156525000828715008*x^28+14360497963542097753357774456164841104274968281\
088*x^26+168379378951432356107063659155650151126255865823232*x^24+1609771256\
180941240596543412799808224977498486603776*x^22+1244832436321807250274134555\
9035888714031737822248960*x^20+770955404969593705110848216006552499958745962\
84268544*x^18+377736201347546964141369472848557380570948599218700288*x^16+14\
41815742904650045952190519708482406459550488412028928*x^14+42041763570770559\
50515849406578778746527597085241376768*x^12+91281421351470128411388633296174\
82550623108066843820032*x^10+14254484954564887348324309406117505515212600371\
446808576*x^8+15235074169571578468551145054207723670630119985463164928*x^6+1\
0316176058161340044006133277474622957753301881583566848*x^4+3853058919152926\
816719102832237633285800808814059978752*x^2+57082354357821138025468190107224\
1968266786490971848704
Common denominator of the automorphisms:
1099916555465518297955010902656224684819118988072615499865025231231486439240\
0972034535040031074727052086835145542100382560858385467836257064781531903050\
7503616

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.