Group GAP4(112,36)

Name: C2 x ((C14 x C2) : C2)
Maximal quotients:GAP4(16,11) GAP4(56,7) GAP4(56,12)
Real polynomial:
x^112-996*x^110+420989*x^108-100641732*x^106+15432025590*x^104-1640839851348\
*x^102+127593049164659*x^100-7536529016259816*x^98+347681124705456368*x^96-1\
2792123197559467448*x^94+381449271758091566727*x^92-9335339448176174855292*x\
^90+189400461775154804704454*x^88-3211646406822206784343668*x^86+45824454504\
241026010759056*x^84-553299444868058335164521340*x^82+5681256727232611983610\
827125*x^80-49821632550622375480071217296*x^78+37458188666450025354728203515\
3*x^76-2422880018704695075583693488888*x^74+13524805289677290480388689498428\
*x^72-65338380787237934578915774156908*x^70+27386536687683582674281489448758\
8*x^68-998153200055604713286580696636980*x^66+316935672987128182551025784318\
7516*x^64-8780903029366542695205530089737288*x^62+21253729657319536717061800\
678839224*x^60-44982417701864763102796087351899912*x^58+83290092717523808397\
880299475692061*x^56-134947253105594289308388262055699736*x^54+1912835669158\
75830453556206109553016*x^52-237084381792896652770549312422906776*x^50+25671\
7895119573827866330885298188796*x^48-242551227613511945328639109282786140*x^\
46+199647852453213317695512058081451652*x^44-1428950387816893629240887980811\
57796*x^42+88736247505572702841830191799186108*x^40-476895474081645131727138\
38941782504*x^38+22118685825652075471713456893749497*x^36-882575274144510194\
9168175930334512*x^34+3019252756377226545182121578137125*x^32-88213803084037\
7369094505156352820*x^30+219176945335695195937654231317264*x^28-460836156083\
76010683316348170876*x^26+8153068835306253609922118795334*x^24-1205567257997\
801273528910292596*x^22+147781263393213724488150469503*x^20-1486779187364019\
7455851226216*x^18+1212289122145120983528515568*x^16-78834755434735805375790\
648*x^14+4004005081530231735158331*x^12-154473879551922861008796*x^10+435845\
9834346630548790*x^8-85272593158215075276*x^6+1070097553202397381*x^4-759509\
5095047052*x^2+22876792454961
Common denominator of the automorphisms:
1420201219253305632897513006386128288163910162354457147119920691364587569417\
2708311035641246265199373746708083109928862241666393356247889178202242157354\
5192637179069869371143078282686747298061214809645977369169712010575916582270\
852613280828125
Complex polynomial:
x^112+1029*x^104-78470*x^96-297507126*x^88-267898715*x^80+47391477769153*x^7\
2+3478604254582128*x^64-2529505860290038528*x^56+164494384755509243904*x^48+\
1512852815896589303808*x^40+32215341255663815753728*x^32-3185059012004581421\
8752*x^24+15981572736764711272448*x^16-3244545730995082493952*x^8+2951479051\
79352825856
Common denominator of the automorphisms:
8445720593684208881548350461519166051286375946344780771392993396897319968732\
25807071861320311540401739850319217045798912

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.