Group GAP4(84,6)
Name: C84
Maximal quotients:GAP4(12,2) GAP4(28,2) GAP4(42,6)
Real polynomial:
x^84-168*x^82+13356*x^80-668864*x^78+23699340*x^76-632683296*x^74+1323432689\
6*x^72-222743008544*x^70+3074250432848*x^68-35289389732800*x^66+340578720946\
240*x^64-2786972966507520*x^62+19467235323250176*x^60-116698434025436928*x^5\
8+602958653807724928*x^56-2694431814136541696*x^54+10441899993246862336*x^52\
-35165659541393095680*x^50+103067772794951953408*x^48-263140889906808954880*\
x^46+585432243602896972800*x^44-1134787034744917614592*x^42+1915081227429172\
791296*x^40-2810142455440723156992*x^38+3578500457605830127616*x^36-39443456\
03002896465920*x^34+3750544832188321857536*x^32-3063641285501917331456*x^30+\
2138781658270948081664*x^28-1268107866822321373184*x^26+63374217070571094016\
0*x^24-264519837602749087744*x^22+91197907135350177792*x^20-2562444988893993\
3696*x^18+5771987151659466752*x^16-1021315776802979840*x^14+1383705002977525\
76*x^12-13888944671293440*x^10+988573518528512*x^8-46933676654592*x^6+135448\
5465088*x^4-20141047808*x^2+102760448
Common denominator of the automorphisms:
8065194941758093626550106720135309220940795626390825914405396331759553669987\
5269136090621702275357433759003225416194789477449728
Complex polynomial:
x^84+168*x^82+13356*x^80+668864*x^78+23699340*x^76+632683296*x^74+1323432689\
6*x^72+222743008544*x^70+3074250432848*x^68+35289389732800*x^66+340578720946\
240*x^64+2786972966507520*x^62+19467235323250176*x^60+116698434025436928*x^5\
8+602958653807724928*x^56+2694431814136541696*x^54+10441899993246862336*x^52\
+35165659541393095680*x^50+103067772794951953408*x^48+263140889906808954880*\
x^46+585432243602896972800*x^44+1134787034744917614592*x^42+1915081227429172\
791296*x^40+2810142455440723156992*x^38+3578500457605830127616*x^36+39443456\
03002896465920*x^34+3750544832188321857536*x^32+3063641285501917331456*x^30+\
2138781658270948081664*x^28+1268107866822321373184*x^26+63374217070571094016\
0*x^24+264519837602749087744*x^22+91197907135350177792*x^20+2562444988893993\
3696*x^18+5771987151659466752*x^16+1021315776802979840*x^14+1383705002977525\
76*x^12+13888944671293440*x^10+988573518528512*x^8+46933676654592*x^6+135448\
5465088*x^4+20141047808*x^2+102760448
Common denominator of the automorphisms:
8065194941758093626550106720135309220940795626390825914405396331759553669987\
5269136090621702275357433759003225416194789477449728
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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